Male and female teachers were asked whether they preferred to use a whiteboard or a projector while teaching. The responses are summarized in the table. Projector Whiteboard Total Male 22 10 32 Female 28 15 Total 25 75 What is the approximate probability that a teacher prefers projectors and is female?

Answer:

Alli khanaw .................

Answer:

8x^36

Step-by-step explanation:

first term (a) = [tex]8x^{8}[/tex]

Second term (t2)= [tex]8x^{12}[/tex]

common ratio (r)

= [tex]\frac{8x^{12} }{8x^{8} }[/tex]

= [tex]x^{4}[/tex]

now the 8th term of the G.S is

t8 = [tex]ar^{n-1}[/tex]

  = [tex]8x^8 * (x^4)^8^-^1[/tex]

  = [tex]8x^8 * (x^4)^7\\[/tex]

  = [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]

hope it will help

Answer:

The answer is B. The correct median of the data set is C, 15.

Step-by-step explanation:

To do a quick recap:

Mode is the average value that is found by adding up all the values and dividing them by the number of values you used.

Median is the number found in the very middle, so Darcy is correct about what a median is.

Mode is the number that appears most.

Notice that the numbers are not arranged in numerical order from least to greatest. She just took the number that she saw in the middle, without considering where it would stand if the numbers were ranked from least to most.

Here's a ranking of all the numbers from least to greatest:

8, 9, 9, 12, 13, 14, 15, 15, 16, 16, 16, 17, 21

From this ranking, we can see that there are a total of 13 numbers. Therefore, the 7th number is the median, which means that the median is 15.

Answer:

as the person before me said, it is b and 15.

Step-by-step explanation:

i know study island can be hard but keep going, you can do it!

Answer:

Step-by-step explanation:

Note the f(0) = 9

and f(1) = 15

Since, f(x) = abˣ substituting for x, we get:

9 = f(0) = a . b⁰ = a

⇒ a = 9

Now, f(1) = 15

⇒ 15 = a . b¹

⇒ 15 = 9 . b

⇒ b = 15/19

Therefore,

f (r) = 9. (5/3)

Hence, the answer.

Answer:

7a+6b+1

...............

Answer:

7a+6b+1

Step-by-step explanation:

2a+3b+2+3a+5b-1+2a-2b=7a+6b+1

(+)×(+)=+ (-)×(-)=+

(+)×(-)=- (-)×(+)=-

Answer:

There was a increase of 1.7% over these three​ years

Step-by-step explanation:

Multipliers:

For a decrease of a%, we multiply by: [tex]\frac{100-a}{100}[/tex]

For a increase of a%, we multiply by: [tex]\frac{100+a}{100}[/tex]

What was the percentage​ increase/decrease of groundhogs over these three​ years?

Decrease of 12%(multiplication by 0.88).

Increase of 6%(multiplication by 1.06).

Increase of 9%(multiplication by 1.09).

After these three years:

0.88*1.06*1.09 = 1.017

1.017 - 1 = 0.017

0.017*100% = 1.7%

There was a increase of 1.7% over these three​ years

Answer:

58m^2

Step-by-step explanation:

2x9 = 18

8x5 = 40

18+40 = 58

Answer:

Step-by-step explanation:

It's the magnitude of the average rate of change that's important here.

| -12.5 | is greater than | 10 |.  The negative sign tells us that the function is decreasing on the given interval.

Answer:

uhhhhhh i think its..... 4

Step-by-step explanation:

Answer:

4, you are welcome.

Answer:

Howard bought a total of  4.5 + 1  =  5.5  pounds of jellybeans.

At  0.80 x 5.5  =  $4.40.

Answer:

The volleyball team's variability is greater because the range is greater! :)

Answer:

first answer your correct

Step-by-step explanation:

So basically the basketball team and the volleyball team are different because the basketball team has more people on it. The height difference is greater for basketball team.

Answer:

r=14 in

Step-by-step explanation:

The volume of a cylinder is given by:

[tex]v = \pi \times {r}^{2} \times h[/tex]

So,

[tex]r = \sqrt{ \frac{v}{\pi \times h} } = \sqrt{ \frac{196 \times \pi}{\pi \times 1} } = \sqrt{196} = 14[/tex]

Step-by-step explanation:

solution given.:

radius[r] =r

height[h]=1in

volume[V] of cylinder=196πin³

we have

volume[V] of cylinder=πr²h

196π=πr×1

r²=[tex] \frac{196π}{π}[/tex]

r=[tex] \sqrt{196} [/tex]

r=14in

so radius is 14in

Answer:

solution given:

by using Pythagoras law:

h²=p²+b²

x²=8²+4²

x=√80units

Answer:

Step-by-step explanation:

subtrct 2 from every x co-ordinate and add 7 to every y co-ordinate.

Answer:

1/3

Step-by-step explanation:

7/21 = 1/3

This is because 21 & 7 are both multiples of 7. 7 / 7 = 1. 21 / 7 = 3.

That makes it 1/3.

Hope that helps! :)

Answer:1/3

Step-by-step explanation:to simplify, divide both numerator and denominator by 7

7/7=1 and 21/7=3

Answer:

The margin of error is of 0.17.

Step-by-step explanation:

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]

He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51.

This means that [tex]n = 35, \pi = 0.51[/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].

a)Calculate the margin of error that the high school student will have.

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

[tex]M = 1.96\sqrt{\frac{0.51*0.49}{35}}[/tex]

[tex]M = 0.1656[/tex]

Rounding to 2 decimal places, the margin of error is of 0.17.

Answer:

19/24 option d is correct

Answer:

Hello your question has some missing data  below is the missing data

answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )

Step-by-step explanation:

The hypothesis ;

H0 : μ1 = μ2

Ha : μ1 ≠ μ2

significance level ( ∝ ) = 0.05

calculate for degree of freedom ( df ) = 13.2  ( using excel function )

find the test statistic ( to ) = -2.77

attached below is the remaining part of the solution

Answer:

V = 262.61 m³

Step-by-step explanation:

Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.

Formula: The formula for the volume of a cone is V = 1/3hπr².

Solve: V = 262.610935 m³

Answer:

2x

Step-by-step explanation:

2x(11x^4 + 10)

Answer:

[tex]parallelogram \: area = 9.5 \times 13 = 123.5[/tex]

Answer:

A. 123.5

Step-by-step explanation:

The formula for a parallelogram is A=bh

So, if you plug in both numbers you get

A=9.5*13

9.5*13 is 123.5

A is correct

I hope this helps!

The number 9.636363 is rational

Here's the Answer,

the given outcome is an impossible event, because the sum of numbers can't be less than 2 hence, sum equal to 1 isn't possible.

And we know, the probablity of an impossible event is 0.

Answer:

A=108in^2

Step-by-step explanation:

The area of a triangle is given by:

[tex]a = \frac{b \times h}{2} [/tex]

So,

[tex]a = \frac{12 \times 18}{2} = 108 \: {in}^{2} [/tex]

Answer:

$120.

Step-by-step explanation:

Just multiply 4 by 5 since it makes 20. Since we know that the price for 4 people is $24, you multiply 24 by 5 since you are paying for 20 people.

Answer:

X=$96

Y=$19

Step-by-step explanation:

x=4y+20

X+Y=$115

4Y+20+Y=$115

5Y+20=$115

-20 -20

5Y=$95

/5 /5

Y=$19

X=4 x $19 + $20

X=$76+$20

X=$96

In linear equation,  cost of calculator = $96 , cost of textbook = $19 is the   cost  of each item .

What are instances of linear equations?

let cost of calculator = x

cost of textbook = y

x=4y+20  .................(1)

X+Y= 115  .................(2)

put value of equation 1 in 2

4Y+20+Y= 115

5Y+20= 115

5Y = 115 - 20

5Y =  95

Y = 95/5

Y = 19

Put value of y in equation 1

X=4 x 19 + 20

X= 76+ 20

X= 96

cost of calculator = 96

cost of textbook = 19

Learn more about linear equation

brainly.com/question/11897796

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