23. You want to estimate the number of students in your school whose favorite subject is biology. You survey the first 10 students who arrive at biology club. Determine whether the sample is biased or unbiased. Explain.

Answer:

a=c=30⁰, b=150⁰.

Step-by-step explanation:

angle R is 120⁰ (vertically opposite angle)

so, for vertically opposite angle c we have,

30⁰+120⁰+c=180⁰

Hence, c=30⁰.

angle a = angle c = 30⁰ (corresponding angle).

180⁰-c = b (from figure being straight line)

or, b=180⁰-30⁰

hence, b=150⁰

Answer:

Please see the attached image.

Step-by-step explanation:

If x > 5, it means that the value of x can take on any value that is greater than 5. Therefore, if you draw a number line, you can put a circle on the number 5 and draw an arrow pointing to the right (in the positive direction, representing all the numbers greater than 5). It is important to note that the circle you draw on the number 5 should not be shaded. This is because, according to the problem, while x can be greater than 5, it cannot equal 5. A hollow circle signifies that the value cannot equal the number circled exactly. I hope this answers your question.

Answer:

The answer is 65 percent

Step-by-step explanation:

Answer:

65%

Step-by-step explanation:

This is a proportion question.

598      x

___ = ___

920    100

First, do 598 x 100 and get 59,800.

Then do 59,800/920 and get 65%.

Answer:

Given:

Suppose Paul receives a 6% raise every year.

To find:

After four such raises, the total percentage increase to the nearest whole percent.

The formula used to calculate percentage is: (value/total value)*100%.

Step-by-step explanation:

Step 1 of 1

Assume his salary is originally  100 dollars.

Then, in the next year, he would have 106 dollars, and in the next, he would have 112.36 dollars.

The next year he would have 119.1016 dollars and in the final year, he would have 126.247.

As the total increase is,

((126.247 -100)/100) *100

= 26.247%

the answer is 26%.

Answer:

[tex]18 ft^2[/tex]

Step-by-step explanation:

You could calculate the area of the trapezoid and then subtract the area of the triangle.

Area of a trapezoid:

 [tex]A = \frac{a+b}{2}h[/tex]

Plug values in:

[tex]A = \frac{6+12}{2}(6)[/tex]

Add 6 and 12:

[tex]A = \frac{18}{2}(6)[/tex]

Simplify:

[tex]A = 54[/tex]

Area of a triangle:

[tex]A = \frac{1}{2}bh[/tex]

Plug values in:

[tex]A = \frac{1}{2}(6)(12)[/tex]

Simplify:

A = 36

Subtract the area of the triangle from the area of the trapezoid

54 - 36 = 18

You could also calculate the area of the shaded region by assuming that they're congruent meaning the base would be half of 6 which is 3 and the height would be 6 so the area of one would be 1/2 (6)(3) but since they're is 2 you wouldn't need the 1/2 since multiplying by 2 would cancel it out so the area would be (6)(3) = 18

Answer:

To answer this question you will use the median height of 156 centimeters and the fact that there are 26 kids in the class to know that the median is not in the data set, therefore it breaks the data into two equal halves with 13 in each half.There would be 13 less or equal to the median height.

Step-by-step explanation:

Answer:

There would be 13 less or equal to the median height.

Answer: 12

Step-by-step explanation:

Converting the problem into words, we have

x= 4/10*30

x=12

Answer:

"A value that is substituted in for the variable in a function in order to generate an output value" is gonna be known as an input.

"A group of two numbers written in the form (x, y) where the x value represents a horizontal position and the y value represents a vertical position" is known as an ordered pair.

"A value generated by a function when an input value is substituted into the function and evaluated" is known as an output.

I hope I have helped with this problem. Have a good day.

Answer:

D

Step-by-step explanation:

Answer:

55 parking spaces

Step-by-step explanation:

Using unitary method:

For every 12 commuters , 5 spaces are needed.

∴ For 1 commuter:

5 ÷ 12 ⇒  [tex]\frac{5}{12}[/tex]  spaces are needed.

∴ For 132 commuters ⇒ [tex]\frac{5}{12}[/tex]  × 132 = 55 spaces.

Answer:

Step-by-step explanation:

(4l = 4000ml)

100ml = $5.75

4000ml = x

cross multiply

100x = (5.75 ×4000)

100x/100 = 23000/100

x = $230

Answer:

[tex]-\frac{5}{9}[/tex]  

Answer: 5

Step-by-step explanation:

Negative x and positive x combined together cancel each other out

Answer:

24

Step-by-step explanation:

We know that the final answer has to be in inches.

To convert ft = in, multiply given ft. by 12.

1/6 = 1/6 * 12 = 2

1/4 = 0.25 * 12 = 3

1/3 = 0.3 * 12 = 4

2*3*4 = 23 cubic in.

24

Step-by-step explanation:

Answer:

261 of the graduates are planning to go to college.

Step-by-step explanation:

This is a proportion question.

x         45

___ = ___

580    100

First do 45 x 580 = 26,100

Then divide by 100 to get 261.

Answer:

90°

Step-by-step explanation:

In the picture, if you make a shape of the angles (including x°, y°, and the undefined angle), it is a circle, therefore it is 360° because a circle is 360°.

First, you add 50° + 40°, which gives you 90°. The undefined angle, which is 50° + 40° vertical angle is also 90° Therefore x° and y° must equal 90°.

Answer:

The January price of the doll is same as the November price. It does not depend on the original price.

Step-by-step explanation:

- We are given with a word problem

- We are asked to find whether the January price is higher or lower or equal to the November price.

- We can do this in two steps

Step 1 : Finding the price of doll in December and January

Step 2 : Comparing them.

Step 1 of 2

Let x be the price of any doll in Tom's House.

The percentage increase in December is 25%

That is [tex]$\frac{1}{4} \times x=\frac{x}{4}$[/tex]

Then the price in December is

[tex]x+\frac{x}{4}=\frac{4 x+x}{4}$$\\ \frac{4 x+x}{4}=\frac{5 x}{4}[/tex]

And the percentage decrease in January is 20%

That is [tex]$\frac{20}{100}=\frac{1}{5}$[/tex] of that price in December

[tex]$$\begin{aligned}\frac{1}{5} \times \frac{5 x}{4} &=\frac{5 x}{5 \times 4} \\\frac{5 x}{20} &=\frac{x}{4}\end{aligned}$$[/tex]

Answer:

The percentage gain in Polly's investment over the two year period will be 2%.

Step-by-step explanation:

Given:

- Polly the Penguin invested $250 in the Antarctic stock market.

- During the first year her investment suffered a 15% loss, but during the second year the remaining investment showed a 20% gain. Over the two-year period.

To Find:

- The percent loss or gain in Polly's investment.

The formula used to calculate percentage is: (value/totalvalue) x100%

- First, we determine the loss suffered by multiplying the loss percentage with the investment amount. Then, we get the amount after the loss is calculated. Then, we calculate the gain by multiplying the gain percentage with the previous amount to get the net amount in the second year.

Step 1 of 2

- The 15% loss in the first year on the investment amount $250 can be calculated as

[tex]$$\begin{aligned}&=250-15 \% \text { of } 250 \\&=250-\frac{15}{100} \times 250 \\&=250-\frac{3}{20} \times 250 \\&=250-\frac{750}{20} \\&=250-37.5 \\&=\$ 212.50\end{aligned}$$[/tex]

Step 2 of 2

- The 20% gain in the second year can be calculated as

[tex]$$\begin{aligned}&=212.50+20 \% \text { of } 212.50 \\&=212.50+\frac{20}{100} \times 212.50 \\&=212.50+42.50 \\&=\$ 255\end{aligned}$$[/tex]

- Here, we can observe that the total profits increased by $5 from the initial investment of $250. This means that 1% gain is equal to $2.50. So, 2% gains mean $5.

Answer:

5% gain

Step-by-step explanation: mental math

Answer:

Step-by-step explanation:

Good luck ✅.

Answer:

a. 2p=3

b. 5p=7.5

c. 8p=12

a. p=1.5

b. p=1.5

c. p=1.5

their all the same

Hope This Helps!!!

Answer:

Step-by-step explanation:

385.60 / 2 = 192.8

since 1lb = 1 pound

192.8 × 1.15 = $221.72

Answer:

40%

Step-by-step explanation:

percent change = (new number - old number)/(old number) × 100%

percent change = (75 - 125)/(125) × 100%

percent change = -40%

A negative percent change is a decrease.

Answer: 40%

Answer:

After July, Ana's monthly salary was $1920

Step-by-step explanation:

In May, Ana's monthly salary was $2000. During the next month, the salary increased by 20%, or (0.2)(2000)

[tex]2000+(0.2)(2000)=2000+400=2400[/tex]

So, in June, Ana's monthly salary was $2400. During the next month, the salary decreased by 20%, or (0.2)(2000)

[tex]2400-(0.2)(2400)=2400-480=1920[/tex]

Therefore, after the two changes, Ana's monthly salary was $1920

Answer:

Now Ana's monthly salary is 1920$.

Step-by-step explanation:

Given: Ana's salary in may =2000$

in June she received 20% raise

in July she received 20% pay cut.

To find Ana's monthly salary after the two changes in June and July.

we have to first find Ana's salary at the end of June month with 20% raise. and then her salary after the end of July month with the pay cut of 20%.

Step 1 of 2

Ana's salary after June month when she got 20% raise in his salary after May is equal to

[tex]=2000+(20 \% \cdot 2000)$\\ $=2000+\left(\frac{20}{100} \cdot 2000\right)$\\ $=2400 \$$[/tex]

her new salary after May will be 2400$.

Step 2 of 2

now she got a pay cut of 20% on his new salary from July month

so, her salary after that would be equal to

[tex]=2400-(20 \% \cdot 2400)$\\ $=2400-\left(\frac{20}{100} \cdot 2400\right)$\\ $=2400-480$\\ $=1920 \$$[/tex]

It's - b + a

Because we're going down the arrow on b or the opposite direction of b. Then, up to C where its vector is a as it lies half way on AC with half of the line labelled a. So, the other half must be also a.

Hope this helps!