is there a picture
Please put one so i. can help
.
Express 0.10190 as a fraction.
Question 2 of 21
In Accra, 30% of workers owns a car. In a sample of 10 workers, what is the probability that exactly three workers owns a car?
O A. 0.267
OB. 0.65
O C. 0.48
O D.0.73
Using the binomial distribution, it is found that the probability that exactly three workers owns a car is given by:
A. 0.267.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
30% of workers owns a car, hence p = 0.3.A sample of 10 workers is taken, hence n = 10.The probability that exactly three workers owns a car is given by P(X = 3), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{10,3}.(0.3)^{3}.(0.7)^{7} = 0.267[/tex]
Hence option A is correct.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Find the slope and the equation for the line passing through the points: (-3,0) and (-1,2)
Answer:
slope: 1equation: y = x +3Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -0)/(-1 -(-3)) = 2/2
m = 1 . . . . . the slope of the line is 1
__
The value of the y-intercept can be found by solving the slope-intercept equation for b.
y = mx +b
b = y -mx
b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)
The equation of the line with slope 1 and y-intercept 3 can be written as ...
y = x +3
12 times a number, x, minus 5 is ninety-one
x=8
Solution:First, multiply 12 times x, like so:12xNow, subtract 5:12x-5This expression is equivalent to 91:12x-5=91Now, add 5 to both sides:12x=91+512x+96x=8Hope it helps.
Do comment if you have any query.
[tex]12x-5 = 91\\\\\implies 12x = 91+5\\\\\implies 12x = 96 \\\\\implies x= \dfrac{96}{12}\\\\\implies x = 8[/tex]
What is the value of k? G(x)=f(x+k)
Answer:
K=6
Step-by-step explanation:
I hope this answer is right
solve for x :)
i’m not sure how to solve this it’s from geometry lesson 10.2
Step-by-step explanation:
Angle of a circle = 360
x + 90 + 84 + 16 = 360
x + 190 = 360
x = 170°
Consider the line – 2x - 5y= 2.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Slope of a perpendicular line:
Answer:
Step-by-step explanation:
PLEASE HELP PLEASE PLEASE HELP
Answer:
Step-by-step explanation:
the median is 26.5, but rounding that up the median will be 27. you can find this by determining the middle number of the data set.
True or false? Based only on the given information, it is guaranteed that
AD = BD
A
D
Given: ADI AC
DBI CB
ACE BC
B
O A. True
B. False
Answer:
True
Step-by-step explanation:
The triangles are both right triangles, meaning they can be used with pythagorean theorem. If the triangles CAD and CBD share the same "hypotenuse" (CD), and they have a pair of congruent sides, they other pair of sides must be able to fit into the pythagorean theorem/
The distance between second base and third base on a regulation baseball field is 30 yards. Choose the word and number to complete the sentence correctly. To convert 30 yards to feet
Answer:
To convert 30 yards to feet, multiply by 3.
Step-by-step explanation:
We have to find out how many feet is in 1 yard and we have to multiply by 3 to find the answer. So the answer is multiply by 3
Can U Guys Tell Me The Angle And Type?
Answer:
The angle is 90°, and the type of angle is a right angle.
Step-by-step explanation:
That is a right angle, the little box and the straight lines indicate that is one. A right angle will always be 90°.
A triangle has one angle that measures 56° and one angle that measures 63º.
The measure of the triangle's third angle is degrees.
The solution is
Pls help me
Pls show your answer pls and thank you
Answer:
DWest I think
Step-by-step explanation:
I dont really know if this is right so pls forgive me if this is wrong.
20 characters or more
Answer:
2 (y-value increase as x-value also increase)
Step-by-step explanation:
Lets look at the graph! when x is 7, y is 4. and when x is 9, y is 5 which is proving that they BOTH increase
give the missing angle
Answer:
60°, 115°, 65°Step-by-step explanation:
Angles a and 60°, also c and 65° are alternate interior angles and therefore are equal:
a = 60°c = 65°Angles b and 65° form a linear pair, so they sum to 180°
b + 65° = 180°b = 180° - 65°b = 115°Answer:
a = 60°
b = 115°
c = 65°
Step-by-step explanation:
Alternate Interior Angles Theorem
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent (same).
Therefore, a = 60° and c = 65°
Angles on a straight line sum to 180°
⇒ b + 65° = 180°
Subtracting 65° from both sides:
⇒ b + 65° - 65° = 180° - 65°
⇒ b = 115°
One angle of a rhombus measures 110, and the shorter diagonal is 4 inches long. How long is the side of the rhombus?
side of rhombus: 2.44 inch
Use the sine rule:
[tex]\sf \dfrac{sin(A)}{a} = \dfrac{sin(B)}{b}[/tex]
============= Let the side be "b"
[tex]\rightarrow \sf \dfrac{sin(110)}{4} = \dfrac{sin(35)}{b}[/tex]
[tex]\rightarrow \sf b = \dfrac{sin(35)*4}{sin(110)}[/tex]
[tex]\rightarrow \sf b = 2.441549178[/tex]
[tex]\rightarrow \sf b =2.44 \ in[/tex]
Answer:
3.5 in (nearest tenth)
Step-by-step explanation:
Properties of a rhombus:
Quadrilateral (four sides & four interior angles)Parallelogram (opposite sides are parallel)All sides are equal in lengthOpposite angles are equal in measureDiagonals bisect each other at right anglesInterior angles sum to 360°Adjacent angles are supplementary (sum to 180°)Diagonals bisect interior anglesTherefore, a rhombus is made up of 4 congruent right triangles.
** see attached diagram **
To find the side length of the rhombus, we need to calculate the hypotenuse of the right triangle.
As the shorter diagonal is 4 in, the base of the right triangle is 2 in
The angles that measure 110° are the angles by the shorter diagonal. Therefore, the base angle of the right triangle is 55°
Using cos trig ratio:
[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]
where:
[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = 55°A = 2H = x[tex]\implies \sf \cos(55^{\circ})=\dfrac{2}{x}[/tex]
[tex]\implies \sf x=\dfrac{2}{\cos(55^{\circ})}[/tex]
[tex]\implies \sf x=3.486893591...[/tex]
Therefore, the side of the rhombus is 3.5 in (nearest tenth)
a rectangular prism has length x, width x/2 and height x/3. Which expression represents the volume of the prism?
Answer:
x^3 / 6
Step-by-step explanation:
Multiply the three dimensions to get the volume
x * x/2 * x/3 =
The expression represents the volume of the prism that will be, x³/6. The expression is obtained by finding the volume of the rectangular prism for the given data.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that, the length is x, width x/2, and height is x/3.
The volume of the rectangular prism is the product of the length, width, and height.
V= length × width × height
V=x × x/2 × x/3
Apply the multiplication operation in the fraction
Simply multiply the numerators to obtain the product's numerator and the denominators to obtain the product's denominator in order to multiply two fractions.
V=x³/6
Thus, the expression represents the volume of the prism that will be, x³/6. The expression is obtained by finding the volume of the rectangular prism for the given data.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
100 POINTS!!! Please help ^^ it’s urgent!!
Answer:
x=1 y=4
Step-by-step explanation:
5x+y=9
10x-7y=-18
-35x-7y=-63
-45x=-45
x=1
y=4
(10)-(28)=18
Brainliest would be appreciated
Answer:
x=1 y=4
Step-by-step explanation:
a
Please help me answer this
Answer:
option A is the correct answer
Its a multiple choice, HELP IM BEGGING
Answer:
B)
E)
Step-by-step explanation:
translation Dilation
M(x,y) ——————>M”(x”,y”)=(x+5,y+8) ——————> M’(x’,y’)=(3x”,3y”)
S(-5,-8) ——————>S”(x”,y”)=(0,0) ——————> S’(x’,y’)=(0,0)
R(-7,-6) ——————>R”(x”,y”)=(-2,2) ——————> R’(x’,y’)=(-6,6)
Q(-8,-10) ——————>Q”(x”,y”)=(-3,-2) ——————> Q’(x’,y’)=(-9,-6)
Which of the following ordered pairs is represented by a point located on the x-axis?
(-3, -3)
( - 6,6)
(5,0)
(0,5)
Answer:
(5,0)
Step-by-step explanation:
The # 5 is on the x axis and there is no value for the y since it is 0. This means that this ordered pair will be located on the x-axis.
A $299.99 grill was discounted 25% for a labor day sale. When the sale ended, the sale price increased 25%. How much is the grill now?
Solve this system of linear equations. Separate
the x- and y-values with a comma.
18x - 7y = -17
3x - 3y = -12
Enter the correct answer.
Answer:
-> (x,y) => (1,5)
x = 1y = 5Step-by-step explanation:
Let's solve your system by elimination.
18x−7y=−17;3x−3y=−12
Multiply the second equation by -6, then add the equations together.
(18x−7y=−17)
−6(3x−3y=−12)
Becomes:
18x−7y=−17
−18x+18y=72
Add these equations to eliminate x:
11y=55
Then solve 11y=55for y:
11y=55
11y/11 = 55/11
(Divide both sides by 11)
y=5
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
18x−7y=−17
Substitute5foryin18x−7y=−17:
18x−(7)(5)=−17
18x−35=−17(Simplify both sides of the equation)
18x−35+35=−17+35(Add 35 to both sides)
18x=18
18x/18 = 18/18
(Divide both sides by 18)
x=1
More help if you can! I desperately need to pass this one class
Answer:
volume of cuboid = lbh = 8.2 ft x 9.4 ft x 10.7 ft
= 824.8 ft^3
How do the charges compare when two objects are charged through friction? The objects become oppositely charged and have equal amounts of charge. The objects become positively charged and have equal amounts of charge. The objects become negatively charged and have different amounts of charge. The objects become oppositely charged and have different amounts of charge.
Answer:
If both objects started with no charge, they would carry opposite charges of the same magnitude after rubbing.
Step-by-step explanation:
When one insulator is rubbed against another, some electrons on one insulator might travel to the surface of the other insulator. Electrons are neither lost nor created in this process- they are just moved from one surface to the other.
Let the two insulators in this question be denoted as [tex]A[/tex] and [tex]B[/tex]. Assume that both insulators were initially not charged.
Let [tex]{\rm e}[/tex] denote the fundamental charge. Each electron carries a negative charge of [tex](-1\; {\rm e})[/tex]. Assume that [tex]n[/tex] electrons are moved from insulator [tex]A\![/tex] to insulator [tex]B\![/tex]:
Insulator [tex]A\!\![/tex] would now have [tex]n\![/tex] fewer electrons than it used to do. Thus, the charge on insulator [tex]A\![/tex] would have been reduced by [tex]n \times (-1\; {\rm e})[/tex]. Since insulator [tex]A[/tex] started with no charge, it would now carry a charge of [tex]0 - n \times (-1 \; {\rm e}) = n\; {\rm e}[/tex].Insulator [tex]B[/tex] would now have [tex]n[/tex] more electrons than it used to do. The charge on insulator [tex]B\![/tex] would have increased by [tex]n \times (-1\; {\rm e})[/tex]. Since insulator [tex]B[/tex] started with no charge, it would now carry a charge of [tex]0 + n\times (-1\; {\rm e}) = (-n\; {\rm e})[/tex].In other words, the insulator that lost some electrons (which are negatively charged) now carries less negative charge and becomes positively charged. In contrast, the insulator that gained some electrons now carries more negatively charge becomes negatively charged.
The amount of electrons on the two objects combined stays unchanged. Thus, the amount of charge one insulator lost is equal to what the other insulator gained. Therefore, the sign of the charge on the two insulators would be different, but the magnitude (absolute value) of the charge would be equal.
Therefore, the two objects would be oppositely charged, with the magnitude of the charge on them being equal.
a group of 10 people are ordering pizza. each person wants 2 slices and each pizza has 5 slices. how many pizzas should thay order
Answer:4
Step-by-step explanation:
2 slices each ten people times them together 20 slices .4 pizzas*5slices=20
Solve the equation for x.
X-7 = 7
Enter the number that belongs in the green box.
x = [?]
Answer:
14
Step-by-step explanation:
1. Add 7 to both sides
2. This leaves us with x=14
order of operation 3×5+4×2-3
[tex]3\times 5 +4 \times 2- 3\\\\=15+8-3\\\\=12+8\\\\=20[/tex]
An equation is shown below:
5(2x − 3) = 5
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Your answer:
Answer:
this equation has 1 answer
Step-by-step explanation:
x = 2
How much sugar is in 200 grams of 5% sugar syrup
Answer:
10 grams
Step-by-step explanation:
200 x 5 = 1000
If we move the decimal over two places left we get :
10.00
That means that there are 10 grams of sugar in 200 grams of 5% sugar syrup
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Have a nice day.