Rewrite the expression in the form k x z^n.

[tex]10 \sqrt[3]{z} \div {2z}^{2} [/tex]
​

Answer:

About 84% of the people have test scores that make them eligible to be interviewed

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 55, \sigma = 12[/tex]

A state agency will only interview applicants with test scores of 43 or greater. About what percent of the people have test scores that make them eligible to be interviewed?

This is 1 subtracted by the pvalue of Z when X = 43. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{43 - 55}{12}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

1 - 0.1587 = 0.8413

Rounding to the nearest percent

About 84% of the people have test scores that make them eligible to be interviewed

Answer:

B-1

Step-by-step explanation:

You can draw a vertical line of symmetry in the middle of the figure. This would be one line.

Answer:

AB = 3.5 cm

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular face and h the length of prism )

Here V = 84 and h = 12 , thus

12A = 84 ( divide both sides by 12 )

A = 7 ← area of Δ ABC

Thus

[tex]\frac{1}{2}[/tex] × 4 × AB = 7

2AB = 7 ( divide both sides by 2 )

AB = 3.5 cm

Answer:

5x + 15

Step-by-step explanation:

Given

9x + 6 - 4x + 9 ← collect like terms

= (9x - 4x) + (6 + 9)

= 5x + 15

Answer:

Step-by-step explanation:

Firstly,

What is the mean?

The mean is where you add up all the number then divide the total by how many numbers there are.

8th number?

1.4.1

2. 5.7

3. 6.1

4. 2.3

5. 3.1

6. 4.5

7. 4.1

8. x

Opposite way:

4.1 + 5.7 + 6.1 + 2.3 + 3.1 + 4.5 + 4.1 = 29.9

(29.9 x) / (8) = 3.7375

3.7375 + x = 4.1375

4.1375 - 3.7375 = 0.4

Answer:

The cost per duck is $5.00 and $8.00 for chickens

Step-by-step explanation:

The equation would be like this:

50c + 30d = 550 (divide this by 10)

5c + 3d = 55

3d = 55 - 5c (multiply by 3)

9d = 165 - 15c

Next,

44c + 36d = 532 (divide this by 4)

11c + 9d = 133

11c + 165 - 15c = 133

11c - 15c = 133 - 165

-4c = -32 (divide by -4)

c = 8

Therefore, the cost of each chicken is $8.00

9d = 165 - 15c

9d = 165 - 15(8)

9d = 165 - 120

9d = 45 (divide by 9)

d = 5

Answer:

(1, 3)

Step-by-step explanation:

Current position (3,2)

Moving left of the x axis results in a decrease, so: 3 - 2 (As she is moving 2 units to the left)

Moving up results in a positive increase on the y axis, so: 2 + 1 (As she is moving one unit up)

Answer:

A Graph = C ; B Graph = D ; C Graph = B ; D Graph = A

Step-by-step explanation:

Answer:

a. = C.

b. = D.

c. = B.

d. = A.

Step-by-step explanation:

Answer:

- 3 1/4

Step-by-step explanation:

-3 3/4 + 1/2 = - 15/4 + 2/4 = - 13/4 = - 3 1/4

Answer:

-13/4 + 1/2 = -3 1/4

Step-by-step explanation:

-3 -3/4+ 1/2

-3/4 + 1/2

-3/4 +2/4 = -1/4

-3 -1/4  = -3 1/4      

Question:

40 adults were asked what languages they could speak English Filipino Spanish

25 spoke english

17 spoke filipino

18 spoke spanish

6 spoke english and filipino

7 spoke filipino and spanish

10 spoke english and spanish

2 spoke all 3 languages

1. How many spoke just one language

English Filipino Spanish

2. How many spoke atleast two languages

Answer:

1.) 20

2.) 19

Step-by-step explanation:

Given the following :

25 spoke english

17 spoke filipino

18 spoke spanish

6 spoke english and filipino

7 spoke filipino and spanish

10 spoke english and spanish

2 spoke all 3 languages

Kindly check attached picture for detailed explanation

Answer:

83.7 %

Step-by-step explanation:

To get the area of the shaded region, we will following these steps.

Step one: Get the area of the sector of the circle.

The area of the sector of the circle can be obtained using the formula:

[tex]Area = \frac{\theta}{360}\times \pi r^{2}[/tex]

Theta will be 60 degrees because triangle OAD is an equilateral triangle

Hence, [tex]Area = \frac{60}{360}\times \pi \times 9^{2}= 42.42cm^{2}[/tex]

Step Two: Get the area of the equilateral triangle

The area of the equilateral triangle can be got using the formula

[tex]Area = \frac{1}{2} Base \times Height[/tex]

The height of the triangle can be got by drawing an imaginary line bisecting the triangle into two parts and applying the Pythagoras' theorem to any of the resulting right-angled triangles formed.

This will be [tex]height =\sqrt{4^{2}-2^{2}} =3.46cm[/tex]

Thus [tex]Area = \frac{1}{2}\times 4\times 3.46=6.93cm^{2}[/tex]

Step Three: Subtract the area of the triangle from the area of the sector

Area of the shaded portion = [tex]42.42cm^{2}-6.93cm^{2}=35.49cm^{2}[/tex]

Step Four: Divide the area of the shaded portion by the area of the entire shape and multiply the result by 100:

Expressing the ratio of the two areas as a percentage, we have

[tex]\frac{35.49}{42.42} \times 100\approx 83.7 %[/tex] %

Answer:

x = -2 and y = 1

Step-by-step explanation:

for details see image

Answer:

[tex]85.6in^2[/tex]

Step-by-step explanation:

to find the surface area we need the radius of the sphere.

We can find the radius using the formula for circumference:

[tex]C=2\pi r[/tex]

we know that the circumference is

[tex]C=16.4in[/tex]

thus

[tex]16.4in=2\pi r[/tex]

solving for r:

[tex]r=\frac{16.4in}{2\pi} \\r=2.61in[/tex]

and now that we know the radius we calculate the surface area:

[tex]SA=4\pi r^2[/tex]

substituting r:

[tex]SA=4\pi(2.61014in)^2\\SA=4\pi(6.81in^2)\\SA=85.6in^2[/tex]

the surface area is equal to [tex]85.6in^2[/tex]

Answer:

Step-by-step explanation:

first, lets find the slope:

m=(y2-y1)/(x2-x1)

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

m=1/7

y=(1/7)*x+b

to find b lets pug in a point we know into the equation:

3=(1/7)*6+b

21/7=6/7+b

b=(21/7)-(6/7)

b=15/7

now we know the equation in slope intercept form representing this function is:

y=(1/7)*x+(15/7)

Answer:

y= 1/7x+15/7

Step-by-step explanation:

points

(-1, 2)  and  (6, 3)

slope intercept form:

2= -m+b, 3= 6m+b ⇒ m= 1/7 ⇒ b= 2 1/7= 15/7

Answer:

16

Step-by-step explanation:

(10-6)^2

4^2=16

Answer: about $22 or 21.6 in decimal form

Step-by-step explanation: $6.00 - 10% is 5.4

5.4 + 5.4 +5.4+5.4 is 21.6 or $22 rounded up

Answer:

Hope this is correct

Answer:

Okay: y = 4x - 1

Step-by-step explanation:

So,

1 x 4 = 4 - 1 = 3

2 x 4 = 8 - 1 = 7

3 x 4 = 12 - 1 = 11

Hope this helps you. :)

Have a good day!

(brainliest would be appreciated)

Answer:

Step-by-step explanation:

[tex]x = 4\\ y = -1 \\ z= -3\\2x(3y -4z)\\= 2(4) [3(-1)-4(-3)] = 8(-3+12)\\=8 (9)\\\\=72\\\\3(5x + 4z)\\3[5(4)+4(-3)]\\3(20-12)\\3(8)\\= 24[/tex]

Answer:

I am just trying I think the Ans is 7

Answer:

81

Step-by-step explanation:

So first find the are of the rectangle: 9 * 15 = 135

Next find the area of the trapezoid.

[tex]\frac{8+10}{2} *6=54[/tex]

135 - 54 = 81

Answer:

x r 1.26 cm

Step-by-step explanation:

This can easily be solved by congruence.

Both triangles have the same proportions.

9.8 : 8.8 = (2 + 9.2) : (x + 8.8)

Because these are proportional, we can use and write this as if they were fractions.

9.8 / 8.8 = (2 + 9.2) / (x + 8.8)

multiply crosswise, gives:

9.8 * (x + 8.8) = (2 + 9.2) * 8.8

9.8 * x + 9.8 * 8.8 = (11.2) * 8.8

9.8 * x + 86.24 = 98.56

9.8 * x = 98.56 - 86.24

9.8 * x = 12.32

Divide left and right of the = sign by 9.8 gives,

x = 12.32 / 9.8

x = 1.2(571428)

x = 1.26 cm

Answer:

2/6 = 1/3

Step-by-step explanation:

There are 6 blocks, 2 of which are circled

2/6 = 1/3

Answer:

5

Step-by-step explanation:

(125) ^ 1/3

What number multiplied by itself 3 times is 125

5*5*5

25*5

125

Answer:

5

Step-by-step explanation:

5^3=125

So the cube root of 125 is 5.

Answer: x = 2 and z=78

Step-by-step explanation:

Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure). Z is Opposite to 78 angle, so z=78.

Adjacent angles add up to 180 degrees, and 78 and (5x + 92) are adyacents so:

5x + 92 + 78 = 180

5x + 170 = 180

5x = 180 - 170

5x = 10

x = 10/5

x = 2