jack surveyed students at his school about whether they use computers or cell phones more. He found that of the 74 seventh-graders he surveyed, 53 said they used their cell phones more. In the 8th grade, 59 students used their cell phone more, compared to 38 who used their computer more. What number should be placed in the orange box below?

Answer:B

Step-by-step explanation:

The calculated measure of the arc DEF is 204 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

The measure of the arc intercepted by the angle DEF is calculated as

Arc DF = 2 * DEF

When the given values are substituted in the above equation, we have the following equation

Arc DF = 2 * 78

So, we have

Arc DF = 156

The measure of arc DEF is then calculated as

Arc DEF = 360 - 156

Evaluate

Arc DEF = 204

Hence, the measure of the arc DEF is 204 degrees

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Answer:

B

Step-by-step explanation:

s>t because s is on top of the scale and t is below the scale

Answer:

First question: LCL = 522, UCL = 1000.5

Second question: A sample size no smaller than 418 is needed.

Step-by-step explanation:

First question:

Lower bound:

0.36 of 1450. So

0.36*1450 = 522

Upper bound:

0.69 of 1450. So

0.69*1450 = 1000.5

LCL = 522, UCL = 1000.5

Second question:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The project manager believes that p will turn out to be approximately 0.11.

This means that [tex]\pi = 0.11[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The project manager wants to estimate the proportion to within 0.03

This means that the sample size needed is given by n, and n is found when M = 0.03. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2[/tex]

[tex]n = 417.9[/tex]

Rounding up

A sample size no smaller than 418 is needed.

Answer:

[tex]Height=\boxed{10\sqrt{2}} [/tex]

[tex] Area =\boxed{165\sqrt{2}} [/tex]

Step-by-step explanation:

By geometric mean theorem:

[tex] AC=\sqrt{25\times 8}[/tex]

[tex] AC=\sqrt{5^2 \times 2^2 \times 2}[/tex]

[tex] AC=5\times 2\sqrt{2}[/tex]

[tex] AC=10\sqrt{2}[/tex]

So,

[tex]Height=\boxed{10\sqrt{2}} [/tex]

[tex] Area = \frac{1}{2} \times base\times height [/tex]

[tex] \therefore Area = \frac{1}{2} \times (25+8)\times 10\sqrt{2} [/tex]

[tex] \therefore Area =33\times 5\sqrt{2} [/tex]

[tex] Area =\boxed{165\sqrt{2}} [/tex]

Answer:

$16 is correct answer

Hope it helps you

Answer:

20 Edges

Step-by-step explanation:

As this figure shows only 10 edges..so to meet the given condition (8 faces; 4 hexagons & 4 triangles) same figure is present at the back making total of 20 Edges.

Answer:

[tex]A=110.5\pi \ inches^2[/tex]

Step-by-step explanation:

Given that,

The slant height of a cone, l = 17 inches

The diameter of a cone, d = 13 inches

Radius, r = (D/2) = 6.5 inches

We need to find the lateral surface area of a cone. The formula for the lateral surface area of a cone is given by :

[tex]A=\pi rl[/tex]

Put all the values,

[tex]A=\pi \times 6.5\times 17\\\\A=110.5\pi \ inches^2[/tex]

So, the lateral surface area of the cone is equal to [tex]110.5\pi \ inches^2[/tex].

Answer:

B 110.5

Step-by-step explanation:

Answer:

Option (4)

Step-by-step explanation:

From the table attached,

Ratio of spores in day 2 and day 1 = [tex]\frac{400}{200}[/tex]

                                                         = 2

Ratio of spores in day 3 and day 2 = [tex]\frac{800}{400}[/tex]

                                                          = 2

There is a common ratio of 2 in each successive to the previous term of the Mold spores.

Therefore, spores are growing exponentially.

Let the function representing exponential function is,

y = a(b)ˣ

Here, y = Number of spores after time 'x'

x = Number of days

a and b are the constants.

On day 1,

x = 1

y = 200

By substituting these values in the exponential function,

200 = a(b)¹

ab = 200 -------(1)

On day 2,

x = 2

y = 400

400 = a(b)² -------(2)

Divide equation 2 by equation 1,

[tex]\frac{400}{200}=\frac{ab^{2} }{ab}[/tex]

b = 2

By substituting the value of b in equation (1),

a(2) = 200

a = 100

Therefore, equation of the function will be,

y = 100(2)ˣ

Option (4) will be the answer.

Answer:13+4(n-1)

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

24^2+32^2=c^2

square root of 1600 is 40

Answer:40

Step-by-step explanation:Because

a^2 + b^2=c^2

Answer:

360 mi^3

Step-by-step explanation:

The figure is composed by two parallelepipeds. For find the volume we have to find the volume of both the solids and the added up the two values

solid  1

length = 11 - 4 = 7 mi

base area = length x width = 7 x 4 = 28 mi^2

V = base area x height = 28 x 6 = 168 mi^3

solid 2

base area = 8 x 4 = 32 mi^2

V = 32 x 6 = 192 mi^3

total volume: 168 + 192 = 360 mi^3

The volume of the figure is 360 mi³.

Volume of a three dimensional shape is the space occupied by the shape.

Given is a figure where two rectangular boxes are put on top of each other.

Volume of a rectangular prism = L × W × H

Here L is the length, W is the width and H is the height.

The dimensions of the rectangular prism are :

Larger one having L = 11 mi, W = 6 mi and H = 4 mi

Smaller one on top having L = 4 mi, W = 6 mi and H = 8 - 4 = 4 mi.

Volume of the figure = volume of larger box + Volume of smaller box

                                  = (11 × 6 × 4) + (4 × 6 × 4)

                                  = 264 + 96

                                  = 360 mi³

Hence the volume of the figure is 360 mi³.

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Answer:

x=8, 3

Step-by-step explanation:

24 has 8 factors: 1,2,3,4,6,8,12,24

8 and 3 make 11

If you factor it out, the equation is (x-8)(x-3)=0

to get 0, only one of the expressions has to equal 0

so x can have 2 different values

Answer:

I wanna say 1/3 because there 3 even numbers on a dice

Step-by-step explanation:

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

The sum of exterior angles of a convex polygon is 360°. Here, that means ...

  3x° +x° +2x° +2x° +4x° = 360°

  12x = 360

  x = 360/12 = 30

The value of x is 30.

Answer:

Sum of all angles = 360⁰

[tex] \to \sf \: 2x + 2x + x + 4x + 3x = 360[/tex]

[tex] \to \: 12x = 360[/tex]

[tex] \to \: x = \dfrac{360}{12} [/tex]

[tex] \sf \: x = 30[/tex]

Answer:

D) -4 (with imaginary roots ±2i)

Step-by-step explanation:

Since you cannot take the square root of a negative number to produce a real result, the only option that has two imaginary roots is D) -4, where the two imaginary roots are 2i and -2i.

Answer:

70 in

Step-by-step explanation:

7 * 7 = 49 {that's the square}

(7 * 6) * 1/2 = 21 {that's the triangle}

49 + 21 = 70

Answer:

the square SxS= 7x7 = 49

the triangle is hxs÷2=(7×6 )÷2 =42 ÷2 = 21

Answer:

The answer would be B  [tex]120ft^{3}[/tex]

Step-by-step explanation:

volume of triangular prism is 30 and volume of the cube is 90 :)

Answer:

Step-by-step explanation:

Base perimeter: 5 x 2 x π = 10π

LA = 10π x 2 = 20π

Base area : 5^2π = 25π

SA = 25π x 2 + 20π = 70π

V : 25π x 2 = 50π

Answer:

x-1/8y^2=0

Step-by-step explanation:

just took the test

Answer:

180

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

1. Distribute the right side.

8w+5=8w+4

2. This has no solution.

Answer:

1. wire is approx. 143.96 ft

2. pole is approx. 106.55 ft

Step-by-step explanation:

Mapping the information on the SOHCAHTOA picture below:

Φ = 46

wire = hypotenuse

adjacent side = 100

CAH is most suitable:

cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96

pole = opposite side + 3

TOA is most suitable:

tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55

Answer:

Both are equal

Step-by-step explanation:

[tex]2^4 = 16 \\ \\ {4}^{2} = 16 \\ \\ \implies \: {2}^{4} = {4}^{2} [/tex]

Answer:

Step-by-step explanation:

2^4=16 and 4^2=16

They both equal the same thing so im guessing neither. They are both the same value.

Hope this helped!

PLS let me know if i'm wrong so i can correct my mistake!!

9514 1404 393

Answer:

  (b)  x +2y = 8

Step-by-step explanation:

The only offered line that includes the given point is ...

  x +2y = 8

__

We can check the other choices:

  x + 2y = 2 +2(3) = 2+6 = 8 . . . matches B (not A)

  2x +y = 2(2) +3 = 4+3 = 7 . . . . not a choice

_____

Getting there from scratch

The standard form equation for a line can be written from ...

  (y2 -y1)x -(x2 -x1)y = constant

  (-4 -0)x -(4 -(-4))y = constant . . . . using the given points (-4, 0) and (4, -4)

  -4x -8y = constant

For standard form, we need the leading coefficient to be positive, and we need common factors removed. We can get there by dividing by -4.

  x +2y = constant

The value of the constant will be whatever it takes for the given point to lie on the line. For (x, y) = (2, 3) to be a solution, we must have ...

 x +2y = (2) +2(3) = constant = 8

The desired line has the equation ...

  x +2y = 8

Answer:

B on edge

Step-by-step explanation:

Step-by-step explanation:

perimeter of the given figure=24cm+24cm+30cm+20cm+20cm+20cm+5cm+5cm

=148cm

Answer:

148mm aka 1.48cm aka 1cm48mm

Step-by-step explanation:

to obtain the small thing between the"24mm" and"20mm":

(30mm-20mm)÷2

=5mm

so add up all those given information:

24mm+24mm+20mm+20mm+20mm+30mm+5mm+5mm

comment below if you still don't get it ;)

Answer:

H = independent variable

S = dependent variable

Step-by-step explanation:

number of hamburgers sold isnt affected by other factors

sales taken in depend on Hamburgers sold

Answer:

divide by avagadro number to get the amount of moles in the atoms you have