Using z-scores, it is found that all of the values fall within 2.46 standard deviations of the mean.
What is the z-score formula?The z-score of a measure X of a variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean.
In this problem, the farthest variable from the mean is of $29.95, hence X = 29.95 and:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{29.95 - 22.58}{3}[/tex]
Z = 2.46.
Hence, all of the values fall within 2.46 standard deviations of the mean.
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What is the volume of the following rectangular prism?
Step-by-step explanation:
green = surface area
Volume = 9/5 × 2/3
= 1.2 unit³
Match The Like Terms
(Algebra 1 class)
1 is c
2 is d
3 is a
4 is e
5 is b
^● ●^
The fall of brainly 2019-2021
those spam bots took it over
Answer: Pop up ads show up
Step-by-step explanation: because of them
Find the point-slope equation for the line that passes through the points (5, 35) and (-6, -31). Use the first point in your equation..
To Find ↓The point-slope equation for the lineCalculations ↓
First of all, we need to find the slope. In order to find the slope, we'll use the following formula :
[tex]\boxed{\\\begin{minipage}{2cm}slope \\ $\displaystyle\frac{y2-y1}{x2-x1}$\end{minipage}}[/tex]
[tex]\boxed{\\\begin{minipage}{2cm}$\displaystyle\frac{-31-35}{-6-5}$ \\ \end{minipage}}[/tex]
[tex]\boxed{\\\begin{minipage}{2cm}$\displaystyle\frac{-77}{-11} \\ \end{minipage}}[/tex]
Which simplifies to :
[tex]\text{Slope = 7 }[/tex]
Now that we know the slope, finding the point-slope equation is a piece of cake.
Remember Point-Slope :
[tex]\text{y - y1 = m(x-x1)}[/tex]
We're told to use the first point (5, 35) in our equation, so we'll do just that.
[tex]\LARGE\text{y - 35=7(x-5)}[/tex]
[tex]\mathsf{equation\:above}[/tex]
hope helpful ~
In the picture below, line PQ is parallel to line RS, and the lines are cut by a transversal, line TU. The transversal is not
perpendicular to the parallel lines
Which of the following are supplementary interior angles?
OA. ZG and ZF
OB. ZE and ZF
OC. ZH and G
OD X and ZE
Answer: A
Step-by-step explanation:
Find the value of x.
Answer:
ok so this is a combination of the pyatrom theorm and algrebra
16^2+28^2=(x+10)^2
1040=x2+100
940=x2
x=30.66
Hope This Helps!!!
Answer:
25.1Step-by-step explanation:
Before finding the value of x which is the base in the right triangle, we must have to find the perpendicular in the left angle triangle.
So, In the left triangle,
→ (Base)² + (Perpendicular)² = (Hypotenuse)²
→ (10)² + (Perpendicular)² = (16)²
→ (Perpendicular)² = (16)² – (10)²
→ (Perpendicular)² = 256 – 100
→ (Perpendicular)² = 156
→ Perpendicular = √(156)
→ Perpendicular = 12.4
Now, In the right triangle, we have :
→ (Base)² + (Perpendicular)² = (Hypotenuse)²
→ (x)² + (12.4)² = (28)²
→ (x)² = (28)² – (12.4)²
→ (x)² = 784 – 153.7
→ (x)² = 630.3
→ x = √(630.3)
→ x = 25.1
Therefore,
The value of x is 25.1Segment AB has endpoints at A(-7,2) and b(9,-6). Point P lies on AB such that AP:BP=3:1
Determine the coordinates of P
The coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
What is the coordinate of the point which divides a line segment in a specified ratio?Suppose that there is a line segment [tex]\overline{AB}[/tex]such that a point P(x,y) lying on that line segment [tex]\overline{AB}[/tex] divides the line segment [tex]\overline{AB}[/tex] in m:n, then, the coordinates of the point P is given by:
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)[/tex]
where we have:
the coordinate of A is [tex](x_1, y_1)[/tex]and the coordinate of B is [tex](x_2, y_2)[/tex]We're given that:
Coordinate of A is [tex](x_1, y_1)[/tex] = (-7,2)Coordinate of B is [tex](x_2, y_2)[/tex] = (9.-6)The point P lies on AB such that AP:BP=3:1 (so m = 3, and n = 1)Let the coordinate of P be (x,y), then we get the values of x and y as:
[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{3(9) + 1(-7)}{3+1} , \dfrac{3(-6) + 1(2)}{3+1} \right)\\\\(x,y) = \left( \dfrac{20}{4} , \dfrac{-16}{4} \right) = (5,-4)[/tex]
Thus, the coordinates of the point P which divides the line segment AB made by the points A(-7,2) and B(9,-6) is (x,y) = (5,-4)
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Use elimination method to solve the system of equations
Answer:
x=1/4, y=-1/2, z=1/3
Step-by-step explanation:
the answer can't be understood through typing check the age above
Please help me tyy!!
Answer:
aight so monkey monkey is monkey so if u put monkey and monkey together u get happy baby monkey did i explain myself?????
Step-by-step explanation:
If 140 seventh graders were
surveyed about their favorite
sports, find the actual number
of students that chose each
sport.
Soccer -
Volleyball -
Football -
Basketball -
Answer:
i will prefer fotbal and socer
Step-by-step explanation:
11 4/5 divided by 3 1/5
A) 3
B) 3 1/2
C) 7/2
D) 4
Answer:
Step-by-step explanation:
The two given numbers both have the denominator 5, Thus the quotient quickly reduces:
11 4/5 becomes 59/5 and 3 1/5 becomes 16/5. Dividing the first expression by the second yields 59/16, which can't be reduced.
However, 59 = 48 + 11, so 59/16 = 48/16 + 11/16, which is approximately 3 1/2 (from either Answer B or Answer C).
The exact answer is 3 11/16; B and C are identical and are closer to 3 11/16 thn 3 or 4.
Which of the function rules below would result in the following graph? On a coordinate plane, a line goes through (2, 2) and (6, 4). a. y = 0.5 x + 1 c. y = 2 x + 1 b. y = 0.5 x minus 1 d. y = two-thirds x + 1 Please select the best answer from the choices provided A B C D
If you divide me by 42, the
quotient is 56. What number
am I?
2352
hope it helps...!!!
Answer:
2352
Step-by-step explanation:
If you divide 2352 by 42, the quotient would be 56.
This can easily be solved knowing what inverse operations are.
42 * 56 = 2352
Therefore,
2352 / 42 = 56
More info can be found searching inverse operations.
What is the domain of f(x) = √x – 4 over the set of real numbers?
Answer:
(2) x [tex]\geq \\[/tex] 4
Step-by-step explanation:
Given the sqrt(x), x [tex]\geq \\[/tex] zero
So, given sqrt(x -4), x -4 [tex]\geq \\[/tex] 0
Now solve for x
x - 4 [tex]\geq \\[/tex] 0
x [tex]\geq \\[/tex] 4
solve using quadratic formula pls show work
Answer:
[tex]x=\frac{3}{8},\:x=0[/tex]
Step-by-step explanation:
[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}}{2\cdot \:8}[/tex]
[tex]\sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}[/tex]
[tex]=\sqrt{3^2-4\cdot \:8\cdot \:0}[/tex]
[tex]\sqrt{3^2}[/tex]
3
[tex]x_{1,\:2}=\frac{-\left(-3\right)\pm \:3}{2\cdot \:8}[/tex]
Separate the solutions:
[tex]x_1=\frac{-\left(-3\right)+3}{2\cdot \:8},\:x_2=\frac{-\left(-3\right)-3}{2\cdot \:8}[/tex]
[tex]x=\frac{3}{8},\:x=0[/tex]
determine the general solution
Answer:
There is no question given here.
Marsha is driving 605 total miles on a trip. She has already driven of the distance. How far has Marsha driven?
A. 121
B. 242
C. 363
D. 302 1/2
Answer:
605*2/5=121*2=242 miles so B would be the answer
Step-by-step explanation:
Giovanni left the house for 240 seconds. How many minutes was Giovanni gone?
Answer:
4 minutes
Step-by-step explanation:
There are 60 seconds in 1 min
240÷60=4
From standard deck of 52 cards. In how many ways may we select 4 cards such that exactly 2 are face cards?
Answer:
87,516 ways
Step-by-step explanation:
Given
4 cards must be chosen from a deck of 52 cards2 of them must be face cardsSolving
2 out of 52 cards can be any combination of cards ⇒ ⁵²C₅The other 2 have to be face cards ⇒ ¹²C₂No. of ways : ⁵²C₂ x ¹²C₂52 x 51 x 1/2 x 12 x 11 x 1/226 x 51 x 6 x 1187,516 waysAnswer:
Putangina mo tama naman yung sa taas eh
What is the Standard form for 10^6?
A.60
B.100,000
C.1,000,000
D.10,000,000
10^6 can be expanded as follows: 10 x 10 x 10 x 10 x 10 x 10
1 stays the same, and there are 6 zeroes (the same number as the exponent)
10^6 = 1000000
Correct Answer: C, 1000000
Hope this helps!
Answer:
C. 1,000,000
Step-by-step explanation:
10¹ = 10
10² = 100
10³ = 1,000
10⁴ = 10,000
10⁵ = 100,000
10⁶ = 1,000,000
Which statements are true about x? Select three options.
The element x is an illustration of sets and the true statements about x are: x ∈ B ∪ C, x ∈ B ∩ C and x ∈ A ∪ C
How to determine the true statements?From the Venn diagram in the complete question, we have the following highlights:
Element x is present in set BElement x is present in set CThe above means that:
The element is a common element in the intersection of sets B & C and in the union of sets B & C.
This is represented as:
x ∈ B ∪ C and x ∈ B ∩ C
Also, we can say that the element is a common element in the union of sets A & C and in the union of sets A & B.
This is represented as:
x ∈ A ∪ B and x ∈ A ∪ C
Hence, the true statements about x are: x ∈ B ∪ C, x ∈ B ∩ C and x ∈ A ∪ C
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2. A light fixture contains 6 light bulbs. With normal use, each bulb has a 0.85
chance of lasting for at least 4 months. What is the theoretical probability that
all 6 bulbs will last for 4 months? Round to the nearest whole percent.
Using the binomial distribution, it is found that there is a 0.38 = 38% theoretical probability that all 6 bulbs will last for 4 months.
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, we have that:
There are 6 bulbs, hence n = 6.Each bulb has a 0.85 chance of lasting for at least 4 months, hence p = 0.85.The probability that all 6 bulbs will last for 4 months is P(X = 6), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{6,6}.(0.85)^{6}.(0.15)^{0} \approx 0.38[/tex]
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identify each type of tax describe. Tariff, Property, Payroll ,Income
• A tax on certain imported or exported goods. •A tax based on a percentage of an individual's income.
• A tax on wages to fund programs such as Social Security
•A tax based on the value of a home, land, or an office building
Answer:
a tax on certain imported or exported goods is tariff
a tax based on a percentage of an individual's income is income
a tax on wages to fund programs such as Social Security is payroll
a tax based on the value of a home, land, or an office building is property
Step-by-step explanation:
17. The velocity, in meters per second, of a runner is given by the function v(t)=11 et +5t. A. Find the acceleration of the runner at time t = 3 seconds. Include the proper units. B. Find the position function given that the runner starts at a distance of 6 meters.
Answer:
a) a= 5 m/s^2
b) P(t) = 2.5 t^2 + 11 t + 6
Step-by-step explanation:
The velocity function is V(t) = a*t + Vo
In this case: V(t) = 5t + 11
It means the constant acceleration a = 5 m/s^2
while the initial velocity (at time t=0s) is 11 m/s
The position function is:
P(t) = 1/2 A*t^2 + Vo*t + Po
In this case:
P(t) = 2.5 t^2 + 11 t + 6
Deshaun drinks 0.25 L of milk every day. How much milk does he drink in 13 days?
Answer: 3.25 L
Step-by-step explanation:
0.25 x 13 days = 3.25
35-36 Use a graph to find approximate [tex]x[/tex] -coordinates of the points of intersection of the given curves. Then use your calculator to find (approximately) the volume of the solid obtained by rotating about the [tex]x[/tex] -axis the region bounded by these curves.
36. [tex]y=\sqrt[3]{2 x-x^{2}}, \quad y=x^{2} /\left(x^{2}+1\right)[/tex]
The approximate x-coordinates of the points of intersection of the given curves are 0 & 1.76, and the volume of the solid when rotated about the x-axis is 3.15 cubic units
Part A: The points of intersectionThe equations are given as:
y = ∛2x - x²
y = x²/(x² + 1)
See attachment for the graph of the above curves (equation)
From the attached curve, we have the following points of intersection
(x,y) = (0,0) and (1.76,0.76)
Remove the y coordinates
x = 0 and 1.76
Hence, the approximate x-coordinates of the points of intersection of the given curves are 0 and 1.76
The volume of the solid when rotated about the x-axisThe volume of the solid is calculated using:
V = π(R² - r²)
Where R and r are the outer and the inner radii, respectively.
In this case;
R = ∛2x - x²
r = x²/(x² + 1)
Using a calculator, we have:
V = 3.15
Hence, the volume of the solid when rotated about the x-axis is 3.15 cubic units
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what is (-3) X (5-7) - (39/3)
Answer:
-7
Step-by-step explanation:
(-3)×(5-7)-(39/3)
First solve the ones within the brackets
(-3)×(-2)-13
Then solve the multiplications and the divisions
6-13
= -7
study the figures below and calculate its surface area by identifying first what is the value of its base and height or length and width?
Answer:
[tex]937.5 m x^{2} \\1369 cm x^{2} \\276mx^{2} \\17500mx^{2} \\270cmx^{2}[/tex]
Step-by-step explanation:
Soulution : Area of a triangle { Area Of A Triangle = 35m x 25m x 1/2 = [tex]437.5mx^{2}[/tex] bottom x height x 1/2 }
Area of the squear ( [tex]37cmx^{2}[/tex] ) = [tex]1369cmx^{2}[/tex] { Area of square = ( [tex]sidex^{2}[/tex]) }
Area of the rombus 1209 x 23m = [tex]276mx^{2}[/tex]
Area of the rectangle 175m x 100m = [tex]17500mx^{2}[/tex]
Area of the parallelogram 18cm x 15cm = [tex]270cmx^{2}[/tex]
will mark brainliest
Answer:
The outcomes of his 40 experiments are listed in the table, according to him there were 13 times there were two tails. Now simply multiply that times three considering the amount of expirement was tripled.
13 times 3 = 39
What would be the future value of 19,378 invested now if the money remains deposited for eight years and the interest rate is 18
percent
Answer:
$72,839.17
Step-by-step explanation:
[tex]19378( {1.18}^{8} ) = 72839.17[/tex]