The students at Riverview High School were asked to vote on their preference for new school colors. The school principal was interested to see how the student-athletes might vote differently from the students who are not athletes. The table shows the results of the vote. What percent of the student-athletes voted for red and gold as the new school colors? Round your answer to the nearest whole percent. 27% 42% 51% 67%

Answer:

0.9

Step-by-step explanation:

His sample had a mean thickness of 148 microns and a standard deviation of 3.3 microns with a 95% confidence interval for the mean thickness.

Solution:

The z score shows by how many standard deviations the raw score is above or below the mean.

Given that:

The mean (μ) = 148 microns, standard deviation (σ) = 3.3 microns, sample size (n) = 50 and confidence interval (C) = 95%

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 is the same as the z score of 0.475 (1 - 0.025) which is equal to 1.96

The margin of error (E) is given by:

[tex]E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{3.3}{\sqrt{50} } \\\\E=0.9\ microns[/tex]

Answer:

to find y you have to do trigonometry

Answer:

3p³ + 2p² – 3p – 11

Step-by-step explanation:

From the question given above, the following data were obtained:

Side 1 (S₁) = –1(p + 5)

Side 2 (S₂) = 2(p² – 3)

Side 3 (S₃) = 3p³ – 2p

Perimeter (P) =?

The perimeter of the triangle can be obtained as follow

P = S₁ + S₂ + S₃

P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p

Clear bracket

P = –p – 5 + 2p² – 6 + 3p³ – 2p

Rearrange

P = 3p³ + 2p² – 2p – p – 6 – 5

P = 3p³ + 2p² – 3p – 11

Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11

Answer:

3

Step-by-step explanation:

The equation for finding a slope is (y2-y1)/(x2-x1), where (x1, y1) is a set and (x2,  

y2) is another set. (2-(-7))/(-5-(-8) = (2+7)/(-5+8) = 9/3 = 3. Hope this makes sense and helps!

Answer:

3

Step-by-step explanation:

To find the slope given two points, we use the slope formula

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

m = ( 2 - -7)/(-5 - -8)

   = (2+7)/( -5+8)

  9/3

  3

Answer:

d

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

Answer:

2.64 km

Step-by-step explanation:

The first step is to calculate the distance in meters

= 24×110

= 2640 meters

1km= 1000 meter

2640 meters to kilometer

= 2640/1000

= 2.64 kilometers

Hence the distance is 2.64 km

Answer:

A. 7/2      B.y - 0 = 7/2(x + 2)

Step-by-step explanation:

y2 - y1 / x2 - x1

7 - 0 / 0 - (-2)

7 / 2

= 7/2

y - 0 = 7/2(x + 2)

Answer:

x = 20

Step-by-step explanation:

The triangles are similar

3          (3+5)

----- = ----------

12        (12+x)

Using cross products

3(12+x) = 12*(3+5)

3(12+x) = 12*8

3(12+x) = 96

Divide by 3

3(12+x)/3 = 96/3

12+x = 32

Subtract 12

12+x-12 =32-12

x = 32-12

x =20

Answer:

60

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

The pic doesnt wrk comment question and ill answer

Answer:

I don't get it what is the question ❓

Answer: 43

Step-by-step explanation:

Lets start with the result. First add the number you subtracted with 73

= 73+13=86

Now they had doubled it, now we instead divide it as it was multiplied. Division is the opposite of Multiplication.

86/2= 43

Hence the Answer or the First Number was 43

HOPE IT HELPS AND PLS MARK BRAINLIEST

Answer:

6 is length and 2 is width.

Answer:

B

Step-by-step explanation:

The equation of Nolan's line is  

The slope-intercept form of a line is given by:

Here

m is the slope of the line

and b is the y-intercept.

Given

y-intercept = b = 3

slope = m = 2

The values of m and b can be put into the equation to find the line's equation

So,

Putting the value

Hence,

The equation of Nolan's line is

Answer:

see explanation

Step-by-step explanation:

A linear pair of angles sum to 180° , then

3x + 10 + 4x - 5 = 180

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25

Then

3x + 10 = 3(25) + 10 = 75 + 10 = 85°

4x - 5 = 4(25) - 5 = 100 - 5 = 95°

------------------------------------------------------------

3x - 3 + 5x + 7 = 180

8x + 4 = 180 ( subtract 4 from both sides )

8x = 176 ( divide both sides by 8 )

x = 22

Then

3x - 3 = 3(22) - 3 = 66 - 3 = 63°

5x + 7 = 5(22) + 7 = 110 + 7 = 117°

Answer:

see explanation

Step-by-step explanation:

A linear pair of angles sum to 180° , then

3x + 10 + 4x - 5 = 180

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25

Then

3x + 10 = 3(25) + 10 = 75 + 10 = 85°

4x - 5 = 4(25) - 5 = 100 - 5 = 95°

------------------------------------------------------------

3x - 3 + 5x + 7 = 180

8x + 4 = 180 ( subtract 4 from both sides )

8x = 176 ( divide both sides by 8 )

x = 22

Then

3x - 3 = 3(22) - 3 = 66 - 3 = 63°

5x + 7 = 5(22) + 7 = 110 + 7 = 117°

Answer:

23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Answer:

option 4

Step-by-step explanation:

Option 3 -12% Decay

Step-by-step explanation:

Answer:

[tex]increase = 9149840 - 8863052 \\ = 286788 \\ \% \: increase = \frac{286788}{8863052} \times 100\% \\ = 3.24\%[/tex]

Answer:

=3.23577% increase

Step-by-step explanation:

1) subtract final value minus starting value

2) divide that amount by the absolute value of the starting value

3) multiply by 100 to get the percent increase

4) if the percentage bis negative, it means there was a decrease and not an increase

Answer:

x = 13 , y = 7

Step-by-step explanation:

x + 2y = 27 => x = 27 - 2y ---------( 1 )

2x - y = 19 ------------ ( 2 )

Substitute ( 1 ) in ( 2 ) :

                         2x - y = 19

                         2(27 - 2y) - y = 19

                         54 - 4y - y = 19

                             -5y = 19 - 54

                             -5y = -35

                                y = 7

Substitute y = 7 in ( 1 ) :

                            x = 27 - 2y

                            x = 27 - 2( 7 )

                           x = 27 - 14

                          x = 13  

Answer:

all real numbers

Step-by-step explanation:

The domain is the values that x can take

x can be any real number

Answer:

B

Step-by-step explanation:

y = k/(x + 3)

Let x = 2

Let y = 8

k = ?

8 = k/(2 + 3)      Combine the terms on the right

8 = k/(5)            Multiply both sides by 5

8*5 = k

k = 40

Let x = 7

y = 40/(7 + 3)

y = 40/10

y = 4

Step-by-step explanation:

very difficult............

Answer:

C

Step-by-step explanation:

Answer:

a is the answer because I just did that question and got 100 percent.

Answer:

The prices are equal when it's 12 pages. For 12 pages, she'd be charged $57

Step-by-step explanation:

x = PER page

y = total

Online scrapbooking equation:

y = 45 + x

Family friend equation:

y = 9 + 4x

Where prices (y) would be equal:

y = 45 + x     (Multiply this by -4)

y = 9 + 4x

y = 9 + 4x

-4y = -180 - 4x

-3y = -171

y = 57

y = 45 + x

-y = -9 - 4x

0 = 36 - 3x

3x = 36

x = 12

Answer:

y= 4 x=0 (0,4)

Step-by-step explanation:

5x+y=4

-5x +y=4

the 5x would cancel out because they equal zero

2y=4

divide both sides by 2

y=4

put the y into one of the equations

5x +4 =4

subtract 4 from both sides

5x=0

divide five from both sides

x=0/5

so x=0

Step-by-step explanation:

5x+y=4 --> y=-5x+4

Plug this into the other equation:

-5x+(-5x+5)=4

Simplify:

-10x=1

x=-.1 (save this answer)

Plug into first simplified equation:

y=-5(-.1)+4

Solve:

y=4.5

(-.1 , 4.5)

Answer:

O = 29

P = 61

Step-by-step explanation:

90 = (x+3) + (2x+9)

90 = 3x + 12

90 - 12 = 3x

78 = 3x

x = 26

26 + 3 = O = 29

(26 * 2) + 9 = P = 61

61 + 29  = 90 = Complementary Angles

Answer:

Temperature after 10 minute = 27.9 degree Celsius

Step-by-step explanation:

Current temperature, P = 100 degree Celsius

% rate in temperature loses = 12% per minute = 0.12

Time,  t = 10 minutes

Temperature after t minutes ,

                                           [tex]= P ( 1 - r )^t\\\\=100( 1 - 0.12)^10\\\\=100(0.278500976)\\\\=27.85[/tex]

                                           = 27.9 degree Celsius