I need helppppppppp please help me

I Need Helppppppppp Please Help Me

Answers

Answer 1

Answer:

12.9cm

Step-by-step explanation:

Trapeziums QRVW and QRSP are similar because they share the same side 5.5 cm and their angles are corresponding to each other.

We can express the ratios of sides in both trapeziums to find WV.

Since side 5.5 is the same in each trapezium,

[tex]\frac{5.5}{WV}=\frac{5.5}{12.9}[/tex]

Thus, WV = 12.9cm

Hope this helps:)


Related Questions

pls it wud be really helpful​

Answers

The value of 2 (x²+2/x²) is D) 1/4.the calculation is given below.

What is value?

Value in math is a measure of the amount of a quantity, such as size, cost, or weight. It is used to compare different quantities or compare different elements in a set. Value can be measured in a variety of ways, such as absolute value, relative value, or fractional value. Ultimately, value helps to explain how different elements interact and relate to one another.

Solution:
The given equation is:
sin θ = 2x
cos θ = 2
0°< θ < 90°

Now we can solve for x using the first equation to get
x = sinθ/2

Now we can substitute this value of x in the second equation and solve for θ
2 = cosθ
θ = cos-1 (2)
θ = 60°

Thus, x = sin60°/2
x = √3/2

Now we can substitute this value of x in the given equation and solve for the value of 2 (x²+2/x²)
2 (x²+2/x²) = 2 ((√3/2)²+ 2/ (√3/2)²)
2 (x²+2/x²) = 2 (3/2 + 2/3)
2 (x²+2/x²) = 2 (5/3)
2 (x²+2/x²) = 10/3

Therefore, the value of 2 (x²+2/x²) is D) 1/4.

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Please help me!! This has to be turned in by the end of the day

Answers

The solution to the system of equations is x = 31/7 and y = 1/7.

What is equation?

An equation is a mathematical statement that shows the equality between two expressions. It consists of two parts, the left-hand side and the right-hand side, separated by an equal sign (=). The left-hand side and right-hand side may contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

Here,

We can solve this system of equations using the elimination method. We will eliminate one of the variables by adding or subtracting the equations to get an equation with just one variable.

Multiply the first equation by 4 and the second equation by 3 to get:

16x + 12y = 76

9x + 12y = 45

Subtract the second equation from the first to eliminate y:

16x + 12y - (9x + 12y) = 76 - 45

7x = 31

Solve for x by dividing both sides by 7:

x = 31/7

Substitute the value of x into either equation to solve for y. Let's use the first equation:

4x + 3y = 19

4(31/7) + 3y = 19

3y = 19 - 124/7

3y = 3/7

y = 1/7

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Complete question:

Solve the equation for x and y:

4x+3y=19

3x+4y=15

Jesse lleva a su perro y su gato al veterinario en perro pesa 23 y el gato 5/8 cuanto pesa el gato en libras

Answers

Jesse's cat weighs 10 pounds.. This will give us the number of pounds for the fraction of a pound. In this case, 5 x 16 = 80, and 80/8 = 10. Therefore, 5/8 = 10 pounds.

Jesse takes his dog and cat to the vet - the dog weighs 23 pounds and the cat weighs 5/8. How much does the cat weigh in pounds?To convert the weight of the cat from fractions of a pound to pounds, we can use the following formula:Pounds = (Fraction of a Pound) x 16In this case, 5/8 x 16 = 10 pounds. Therefore, the cat weighs 10 pounds.The fraction of a pound is calculated by multiplying the numerator (top number) of the fraction by 16 and then dividing the result by the denominator (bottom number). This will give us the number of pounds for the fraction of a pound. In this case, 5 x 16 = 80, and 80/8 = 10. Therefore, 5/8 = 10 pounds.To summarize, Jesse's cat weighs 10 pounds.

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On my homework I am suck because I do not know how to multiply decimals 25.5 x 10 x 10

Answers

Answer:

2550

Step-by-step explanation:

Step-by-step explanation:

To multiply decimals, we can simply multiply the numbers as if they were whole numbers and then count the total number of decimal places in the factors. In this case, we have:

25.5 x 10 x 10 = 255 x 10

Now, we multiply 255 by 10 as if they were whole numbers:

255 x 10 = 2550

Finally, we count the total number of decimal places in the factors, which is two (one in 25.5 and one in 10). Therefore, the answer should have two decimal places, so we can add a decimal point to the result and place two zeros after it:

25.5 x 10 x 10 = 2550.00

Therefore, 25.5 x 10 x 10 = 2550.00.

An expression equivalent to B +B +B +B + B that is a product of a coefficient and a variable

Answers

Answer:

One expression equivalent to B + B + B + B + B that is a product of a coefficient and a variable is 5B, where 5 is the coefficient and B is the variable

Step-by-step explanation:

Using the net below, find the
surface area of the triangular prism.
Start by finding the
area of each piece.
6 cm
9 cm
[?]
57
6 cm
cm
6 cm
9 cm

Answers

Using the net below, find thesurface area of the triangular prism.Start by finding thearea of each piece.6 cm9 cm[?]576 cmcm6 cm9 cmTo find the surface area of the triangular prism, we need to find the area of each face and add them up. First, let's find the area of the triangular base: Area of triangle = (1/2) x base x height The base of the triangle is 6 cm and the height is 9 cm, so: Area of triangle = (1/2) x 6 cm x 9 cm = 27 cm^2 Next, let's find the area of each rectangular face: Area of rectangle = length x width One rectangular face has a length of 9 cm and a width of 6 cm: Area of rectangular face = 9 cm x 6 cm = 54 cm^2 The other rectangular face also has a length of 9 cm and a width of 6 cm: Area of rectangular face

Which is the correct substitution for evaluating 10-y2 when y=3

Answers

Answer:

6

Step-by-step explanation:

y2= 3x2 = 6.

Select the best answer for the question
15. Rene Rodrigues vacationed in Mexico and spent 9,200 pesos. What would this be in U.S. dollars? (Round to the nearest cent. Use the Currency Conversion chart in the textbook.)
O A. $576.80
O B. $515.20
O C. $164,285.72
O D. $164,218.00

Answers

Correct answer is D $164,218.00

Type here to search
(D) What is the surface area of this rectangular pyramid?
4 yd
Submit
444
3 yd
4 yd
square yards
3 1.8
9

Answers

Check the picture below.

so if we cut the pyramid like a pie with a knife from the top and open it up, it'd look more or less like that picture, so its area is just the area of four triangles with a base of 4 and a height of 3 and a 4x4 square.

[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{\textit{four triangles}}{4\left[ \cfrac{1}{2}(4)(3) \right]}~~ + ~~\stackrel{square}{(4)(4)}}\implies 24+16\implies \text{\LARGE 40}~yd^2[/tex]

you start at (6,10) and move 6 units right and 4 units down where are you now

Answers

(12,6) left and right effects the x in your (x,y) and right is positive so 6+6=12. up and down is your Y. and down is negative to 10-4=6

Can someone help me with this the image is below use a trigonometric ratio to solve for x. round to two decimal places as necessary some person keeps giving me the wrong answer

Answers

Therefore, the length of the perpendicular side x is approximately 12.64 feet, rounded to two decimal places.

What is trigonometric ratio?

A trigonometric ratio is a mathematical function that relates the sides of a right triangle to its angles. There are three basic trigonometric ratios: sine, cosine, and tangent. Each of these ratios is defined as the ratio of two sides of the triangle. Sine (abbreviated as sin) is the ratio of the length of the side opposite an acute angle to the length of the hypotenuse. That is, sin(theta) = opposite/hypotenuse. Cosine (abbreviated as cos) is the ratio of the length of the adjacent side to the length of the hypotenuse. That is, cos(theta) = adjacent/hypotenuse. Tangent (abbreviated as tan) is the ratio of the length of the opposite side to the length of the adjacent side. That is, tan(theta) = opposite/adjacent.

Here,

We can use the trigonometric ratio of sine to solve for x in this problem.

Sine is defined as the ratio of the length of the opposite side (in this case, x) to the length of the hypotenuse (21 feet):

sin(37°) = x/21

We can solve for x by multiplying both sides of the equation by 21:

x = 21 sin(37°)

Using a calculator to evaluate sin(37°), we get:

sin(37°) ≈ 0.6018

Substituting this value into the equation, we get:

x ≈ 21(0.6018)

x ≈ 12.64

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What is the answer of the c is subject in a=bc-d

Answers

Answer:

c=(a+d)÷b

Step-by-step explanation:

a=bc-d

a+d=bc-d+d

bc÷b=(a+d)÷b

c=(a+d)÷b

At how many points does the line with equation y = -3/4x + 25/4 intersect the circle shown?

A. 0

B. 1

C. 2

D. There is not enough information to determine the number of points of intersection.

Answers

Answer:

We need to find the number of points of intersection between the line with equation y = -3/4x + 25/4 and the circle. The equation of the circle is not given, so we cannot directly solve for the intersection points. However, we can use the fact that the intersection points must satisfy both the equation of the line and the equation of the circle.

Let (x, y) be a point on the circle. Then the coordinates satisfy the equation of the circle, which we will assume is (x - a)^2 + (y - b)^2 = r^2, where (a, b) is the center of the circle and r is the radius. Substituting y = -3/4x + 25/4, we get:

(x - a)^2 + (-3/4x + 25/4 - b)^2 = r^2

This is a quadratic equation in x, which we can expand and simplify:

(x^2 - 2ax + a^2) + (-3/2)x^2 + (15/2)x - 3bx + (625/16) + b^2 - (25/2)b + (625/16) - r^2 = 0

Simplifying further, we get:

(-5/2)x^2 + (-2a - 3b + 15/2)x + (2a^2 - 25/2b + 125/8 - r^2) = 0

This is a quadratic equation in x, with coefficients that depend on the center and radius of the circle. We can use the quadratic formula to solve for x, and then substitute into y = -3/4x + 25/4 to get the corresponding value of y.

The discriminant of the quadratic equation is:

(-2a - 3b + 15/2)^2 - 4(-5/2)(2a^2 - 25/2b + 125/8 - r^2)

Simplifying and factoring, we get:

(4a + 6b - 15)^2 - 25(4a^2 - 50b + 250/8 - 2r^2)

This is a quadratic expression in b, which tells us whether the equation has real solutions (i.e., whether the line intersects the circle). If the discriminant is positive, then the equation has two real solutions, which means the line intersects the circle at two points. If the discriminant is zero, then the equation has one real solution, which means the line is tangent to the circle. If the discriminant is negative, then the equation has no real solutions, which means the line does not intersect the circle.

Without knowing the equation of the circle, we cannot determine the discriminant and therefore the number of intersection points. Therefore, the answer is D: "There is not enough information to determine the number of points of intersection."

Step-by-step explanation:

Find all values of x that are not in the domain of h. If there is more than one value, separate them with commas

Answers

Answer:

x = - 1, 6

Step-by-step explanation:

the denominator of h(x) cannot be zero as this would make h(x) undefined

equating the denominator to zero and solving gives the values of x that cannot be in the domain of h(x)

x² - 5x - 6 = 0

(x + 1)(x - 6) = 0

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 6 = 0 ⇒ x = 6

then x = - 1, 6 are values not in the domain of h(x)

a production process that is in control has a mean of 80 and a standard deviation of 10. what are the upper and the lower control limits for sample sizes of 25?

Answers

A production process that is in control has a mean of 80 and a standard deviation of 10. The upper and the lower control limits for sample sizes of 25 is 124 and 36 respectively.

The production process that is in control has a mean of 80 and a standard deviation of 10.

To find the upper and lower control limits for a sample size of 25, we need to calculate the following formulas:
Upper Control Limit (UCL) = mean + 3*standard deviation
Lower Control Limit (LCL) = mean - 3*standard deviation
Therefore, for this process with a mean of 80 and standard deviation of 10, the UCL is 130 and the LCL is 30.
For sample sizes of 200, the formulas will be slightly different as the control limits are adjusted for larger samples:
UCL = mean + 2.66 x standard deviation
LCL = mean - 2.66 x standard deviation
Therefore, the UCL is 124 and the LCL is 36.
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Find NM, KM m < JML, and m < KML

Answers

We may conclude after answering the provided question that angles NM = 10 + 6 = 16 (as seen in the figure) m JML = 60 - x m KML = 120 m

what are angles?

An angle is a form in Euclidean geometry that is made up of two rays that meet at a point in the centre known as the angle's vertex. Two rays may combine to form an angle in the plane where they are situated. When two planes intersect, an angle is generated. They are referred to as dihedral angles. An angle in plane geometry is a potential configuration of two radiations or lines that represent a termination. The word "angle" comes from the Latin word "angulus," which meaning "horn." The vertex is the place where the two rays, also known as the angle's sides, meet.

Let x be the angle JML measurement. Next, using the angle connections we discovered earlier:

m LKN = x m KML = m LMN = 180 minus x (since they form a linear pair with angle JML)

180 - x - (180 - m LKN) m JML

JML m = LKN m - x

JML = 60 - x KML = m LMN = 180 - 60 = 120 F

JMN = JML (alternative interior angles) KMN = KML (alternate interior angles) m JMN + KMN + m N = 180 (angles in a triangle)

m JMN = 60 x m KMN = 120 60 x + 120 + m N = 180 m N = x

As a result, we have:

LK + KL = NM (segment addition postulate)

NM = 10 + 6 = 16 (as seen in the figure) m JML = 60 - x m KML = 120 m

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Find the value of x that makes AABC~ ARTS.

Answers

The value of x that will make ∆ABC similar to ∆ RST is 12

What are similar triangles?

Similar triangles are triangles with similar shapes but their sizes are not necessarily thesame. The ratio of the corresponding sides of similar triangles are equal.

This means ,

2x+6/36 = 40/48 = 25/x+18

therefore, 2x+6/36 = 40/48

48( 2x+6) = 36× 40

96x + 288 = 1140

96x = 1140-288

96x = 1152

divide both sides by 96

x = 1152/96

x = 12

therefore the value of x that will make the two triangles similar is 12

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what is spearman's rank?

Answers

In statistics, Spearman's rank correlation coefficient or Spearman's ρ, named after Charles Spearman and often denoted by the Greek letter \rho or as r_{s}, is a nonparametric measure of rank correlation. It assesses how well the relationship between two variables can be described using a monotonic function

A wire reaches from the top of a 26-meter telephone pole to a point on the ground 8 meters from the base of the pole. What is the length of the wire to the nearest tenth of a meter?

Answers

Answer: We can use the Pythagorean theorem to solve for the length of the wire. Let's call the length of the wire "x". Then:

x^2 = 26^2 + 8^2

x^2 = 676 + 64

x^2 = 740

x = sqrt(740)

x ≈ 27.2

Therefore, the length of the wire to the nearest tenth of a meter is 27.2 meters.

Step-by-step explanation:

For the following demand​ function, find a.​ E, and b. the values of q​ (if any) at which total revenue is maximized.
q=40,600−9p2
a. Determine the elasticity of​ demand, E.
E=______ ​(Type an expression using p as the​ variable.)
b. Determine the value of q that maximizes the revenue. Select the correct choice​ below, and if​ necessary, fill in the answer box within your choice.
A.Total revenue is maximized at about, q=___
B. No value of q

Answers

a.  The elasticity of demand is E = -1.607.

b. Total revenue is maximized at q ≈ 1354.00.

The demand function is: q = 40,600 - 9p^2

a. To find the elasticity of demand, we need to differentiate the demand function with respect to p and then multiply by p/q:

dq/dp = -18p

(p/q) * (dq/dp) = (-18p/q)

Then, we can substitute p = 2000 and q = 22,400 (the values given in a previous question) into this expression:

E = (-18(2000)/22400) = -1.607

b. Total revenue is maximized where the demand is unit elastic (E = -1). We can set the expression for E equal to -1 and solve for p to find the corresponding value of q:

-1 = (-18p/q)

q = 18p

Substituting the demand function into this expression and simplifying, we get:

q = 40,600 - 9p² = 18p

Rearranging and solving for p, we get:

9p² + 18p - 40,600 = 0

Using the quadratic formula, we get:

p = (-18 ± √(18² - 4(9)(-40,600)))/(2(9)) ≈ 75.22 or -227.22

Since the price must be positive, the only valid solution is p ≈ 75.22. Substituting this back into the demand function, we get:

q ≈ 18(75.22) ≈ 1354.00

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Find the median, mode, and range
of the data.
Birth weight (pounds) 6, 9, 8, 6, 9, 6

Answers

Answer:

answer: 7

Step-by-step explanation:

u have to find the median by finding the middle of all of those numbers which will me seven

PLS, PLS, PLS HELP!!!!!!!

Answers

If you know your turning point form (vertex form) of a quadratic (y = a(x - h)2 + k), k is the y value, so k = -2

find the square root of -1/9

Answers

Answer: There isn't an answer because there's an negative.

Answer is 1/3 i

Since this is a negative we call this an imaginary number. We apply the imaginary number rule to change it to a positive and then solve.

Square root of 1/9 = 1/3 i

* the “i after the solution means imaginary because of the negative

In what ratio does the line of the equation 4x + 5y = 21 divide the line segment joining the points (-2, 3) and (4, 5) ?​

Answers

Answer: 1.465 : 1

Step-by-step explanation:

Slope of the line segment:

m = (5 - 3)/(4 - (-2)) = 2/6 = 1/3

The equation of the line which the line segment lies on is found by:

(y - 3)/(x - (-2)) = 1/3

(y - 3)/(x + 2) = 1/3

(y - 3)/(x + 2) * (x + 2) = 1/3 * (x + 2)

y - 3 = (x + 2)/3 = 1/3 x + 2/3

y = 1/3 x + 11/3

The equation of the line given:

4x + 5y = 21

5y = -4x + 21

y = -4/5 * x + 21/5

Set them equal to each other and solve for x to find their intersection:

1/3 x + 11/3 = -4/5 * x + 21/5

15(1/3 x + 11/3) = 15(-4/5 * x + 21/5)

5 x + 55 = -12 x + 63

17x = 8

x = 8/17

y = 1/3 (8/17) + 11/3 = 8/51 + 181/51 = 189/51

Point (8/17, 189/51)

Distance from right end of segment to intersection:

s = SQRT((4 - 8/17)^2 + (5 - 189/51)^2) = SQRT((60/17)^2 + (66/51)^2) = 3.759

length of segment = SQRT((5–3)^2 + (4 - (-2))^2) = SQRT(4 + 36) = SQRT(40) = 6.324

Distance from the left end to interseciton:

6.324 - 3.759 = 2.555

Ratio of right end to left end:

3.759/2.565 = 1.465

The table and graph shown below each represent a function of . ​ ​ ​ ​Which function, or , has a greater rate of change? Be sure to include the values for the rates of change in your answer. ​ ​Explain your answer

Answers

The rate of change of Function B = 3 is greater than Function A = 2.

What is a functiοn?

A unique kind οf relatiοn called a functiοn is οne in which each input has precisely οne οutput. In οther wοrds, the functiοn prοduces exactly οne value fοr each input value. The graphic abοve shοws a relatiοn rather than a functiοn because οne is mapped tο twο different values. The relatiοn abοve wοuld turn intο a functiοn, thοugh, if οne were instead mapped tο a single value. Additiοnally, οutput values can be equal tο input values.

Rate of change refers to the slope of graph or equation,

So lets find the slope for Function A:

Two points are, (1, 5) and (2, 7), Find the slope using slope formula,

[tex]\rm y_2-y_{1}=m\left(x_2-x_{1}\right)[/tex]

7 - 5 = m(2 - 1)

2 = m(1)

m = 2/1

m = 2

The rate of change is 2.

Lets find the slope for Function B:

Two points are, (1, 1) and (2, 4), Find the slope using slope formula,

4 - 1 = m(2 - 1)

3 = m(1)

m = 3/1

m = 3

The rate of change is 3.

Thus, The rate of change of Function B = 3 is greater than Function A = 2.

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i need answer for 29 please!!!

Answers

Answer:

D. -3, -7

Step-by-step explanation:

which of the following statements is correct? a. the binomial distribution is a continuous probability distribution, and the normal distribution is a discrete probability distribution. b. the binomial and normal distributions are both discrete probability distributions. c. the binomial and normal distributions are both continuous probability distributions. d. the binomial distribution is a discrete probability distribution and the normal distribution is a continuous probability distribution.

Answers

The correct statement is:

d. The binomial distribution is a discrete probability distribution and the normal distribution is a continuous probability distribution.

What is binomial distribution?

In probability theory and statistics, the binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either Success or Failure. For example, if we toss a coin, there could be only two possible outcomes: heads or tails, and if any test is taken, then there could be only two results: pass or fail. This distribution is also called a binomial probability distribution.

The binomial distribution is a discrete probability distribution that models the number of successes in a fixed number of independent trials, where each trial can result in only two outcomes (success or failure), and the probability of success is constant. Examples of situations that can be modeled by a binomial distribution include flipping a coin a fixed number of times or counting the number of defective items in a batch of products.

The normal distribution, on the other hand, is a continuous probability distribution that is often used to model naturally occurring phenomena, such as heights, weights, and test scores. The normal distribution is characterized by a bell-shaped curve, and it is used because many phenomena in nature follow a normal distribution pattern.

So, the binomial and normal distributions are both widely used in probability and statistics, but they are fundamentally different types of distributions.

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factor. If the trinomial will not factor write "prime"

a²-13a-30

Answers

Answer:

( a + 2 ) ( a - 15 )

Step-by-step explanation:

a² - 13a - 30

a² + 2a - 15a - 30

( a² + 2a ) - ( 15a - 30 )

a ( a + 2 ) - 15( a + 2 )

( a + 2 ) ( a - 15 )

F^-4 (x) : f(x) = 4 (3x+2)

Answers

Step-by-step explanation:

To find F^-1(x), we need to solve for x in terms of f(x) using the given equation for f(x):

f(x) = 4(3x+2)

First, we can simplify the expression inside the parentheses:

f(x) = 12x + 8

Next, we can solve for x by isolating it on one side of the equation:

f(x) - 8 = 12x

(x is isolated)

x = (f(x) - 8) / 12

Therefore, F^-1(x) = (x - 8) / 12.

There Are 450 students in a school & 74% of them are boys.

i)Find the number of boys
ii)Find the numver of girls​

Answers

Answer:

333 boys117 girls

Step-by-step explanation:

There Are 450 students in a school & 74% of them are boys.

1)Find the number of boys

2)Find the numver of girls​

first we find 74% of 450 and we have the number of boys, we subtract the result from the total number and we have the number of girls

Find boys

450 : 100 x 74 =

4.5 x 74 =

333

Find girls

450 - 333 =

117

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1.4.4 Quiz: Continuing ConflictsQuestion 2 of 10What did the Treaty of 1677 force Indigenous peoples to do?OA. Live closer to the colonistsOB. Pecome members of the colonyOC. Grow tobacco on their landOD. Be obedient to colonial governmentsSUBMIT which preliminsry assessment would the nurse consider to reduce the riskof aispiration while adminstering oral medications Write the standard form equation for a hyperbola with center at the origin, vertices at (0, 3) and (0, -3), and foci at (0, 6) and (0, -6). Annie is concerned over a report that "a woman over age 4040 has a better chance of being killed by a terrorist than of getting married." A study found that the likelihood of marriage for a never-previously-wed, 4040-year-old university-educated American woman was 3.4%3.4%. To demonstrate that this percentage is too small, Annie uses her resources at the Baltimore Sun to conduct a simple random sample of 407407 never-previously-wed, university-educated, American women who were single at the beginning of their 4040s and who are now 4545. Of these women, 2020 report now being married. Does this evidence support Annies claim, at the 0.010.01 level of significance, that the chances of getting married for this group is greater than 3.4%3.4%? I WILL GIVE BRAINLYEST!! ALGEBRA 1 HW In a class of 60 students, 40 are Democrats, 10 are business majors, and 4 of the business majors are Democrats. If one student is randomlyselected from the class, find the probability of choosing a Democrat or a business major.P(Democrat or business major) = twice the difference between two numbers is 44. three times their sum is 96 opic Testest Review ActiveD123456 7 8 |910What information do you need to share with your doctor to avoid a possible bad reaction to medication? Use your measuring devices and right angle trigonometry to calculate the length of the hypotenuse of this triangle.Note: you will need to use some creativity to find an angle inside the triangle. After running 12 miles, Dawud drank 3 bottles of water. His brother was thirsty and drank 1 1 2 times as much as David. What equation can be used to find out how many bottles of water Dawood's brother drank? Assume that projected revenue for 2018 is 1,231,414. also assume the following projected 2018 costs in each of the cost categories from question one: packaged (cans & bottles) $122,939 kegs $73,637 shrinkage/wip loss $42,000 contract labor $9,000 direct labor $240,000 inbound freight $18,000 consumer advertising $30,000 trade promotion $30,000 sales promotion $18,000 salaries & benefits $180,000 given these costs, compute shannon's projected contribution margin in dollars. Though Anne and Peter "date", she says, "Don't think I'm in love because I'm not. But it does make life more bearable to have someone with whom vou can exchange views." Is Anne telling the truth? Does she love Peter? Would they have dated if they hadn't been locked together in the secret annex? Is she just using him? If a rectangular prism is sliced diagonal to the base, cutting through three faces, how many sides will the cross-section have? which of the following are common recommendations for helping ensure that the speaking outline can be easily seen as you are speaking? multiple select question. cover the entire index card to avoid wasting space with empty margins. leave extra spacing between lines. use large writing or printing. write on both the front and back of your index cards. why were the earliest african slaves shipped to the new world from lisbon and other european ports rather than directly from west africa In designing the presidency, the delegates tried to strike what kind of balance?a) A balance between monarchy, aristocracy, and anarchyb) A balance between militarism and economic stewardshipc) A balance between assuring adequate executive power and minimizing risk of tyrannyd) A balance between social policy and cultural leadership in order for the lpn to qualify for intravenous therapy administration, the board of nursing requires the addition of how many hours of education on the topic of central venous lines? a construction company tests a strategy to reduce costs on a collection of projects. this experiment is part of a long-term business objective. what position would most likely oversee this test across several projects? solve each of the following equations 4^x+2(2^x)-8=0 4 Some learners were discriminated against because of their financialcircumstances. Discuss THREE ways in which the school could addressdiscrimination at school