Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 181618161816 students at Franklin High School.
Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall?

Answer:

y = 102° , z = 75°

Step-by-step explanation:

Assuming this is geometry, you must find the value of 'z' first.

Using the [Supplementary Angles Theorem] for 'z' :

105° + z = 180°

Solve for z.

z = 75°

You may also hear that those two angles are a 'Linear Pair'

Then using the formula for: [Sum of Internal Angles]

Which is: sum = (n-2) * 180°      where 'n' is the number of sides

The total sum of internal angles of a quadrilateral is 360°

Now knowing 3 of the 4 interior angles, you can just do arithmetic:

99° + 84° + 75° + y = 360°

Simplify:

258° + y = 360°

Therefore:

y = 102°

Answer:

550

Step-by-step explanation:

using my brain

Answer:

550

Step-by-step explanation:

common sense.........

Answer:

4(-3)(-2) = 24

Step-by-step explanation:

first solve the numbers in parenthesis.

4(-3)(-2)

= 4(6)

the negative sign cancels out in the product, because both of the numbers you multiplied are negative, which makes the product positive.

now solve for 4(6).

4(6) = 24

Step-by-step explanation:

sinΘ=-3,cosΘ=4,cotΘ=-4/3,secΘ=1/4 & cosecΘ=-1/3

Answer:

B. 90

Step-by-step explanation:

Add them all, divide by 3.

88 + 90 + 92 = ?

270 = 270

270/3 = 90

Answer: 90

Step-by-step explanation:

You just add up all the numbers then divide by how many numbers there are.

( 88 + 90 + 92 = 270 ) There are 3 numbers so take 270 / 3 = 90.

Answer:

A on ed 2021

Step-by-step explanation:

if you go on Desmos graphing calculator and graph y = cot(3x)

then graph the points

A. (pi/6, 0)

B. (pi/3, 0)

C. (3pi, 0)

D. (6pi, 0)

POINT A. (pi/6, 0) is the only point that intercepts the graph

The x-intercept of the graph of the function y = cot(3x) is ,

⇒ (π/6, 0)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Here, The graph of the function is given as:

y = cot(3x)

Now, To determine the x-intercept of the graph, we set the graph to 0.

So, we have:

cot(3x) = 0

Take the arccot of both sides;

3x = arccot(0)

Evaluate the arccot of 0

3x = π/2

Divide both sides by 3

x = π/6

Hence, the x-intercept of the graph of the function y = cot(3x) is

⇒ (π/6, 0)

Learn more about x-intercepts at:

brainly.com/question/3951754

#SPJ7

Answer:

A

Step-by-step explanation:

Answer:

the answers are p - 6, 3 (1/3p + 3 - 5), and 3 (1/3p - 2)

Answer:

3 (1/3p+3-5), p-6, 3(1/3p-2)

Step-by-step explanation:

I did the iready quiz and got it correct.

Answer:

Look at explanation.

Step-by-step explanation:

The equation y = 15x + 15 is using the equation y = mx+b. m, or in this case 15, represents the slope of the equation. b, or in this case 15, represents the y-intercept.

Answer:

a=8

Step-by-step explanation:

solve for a by adding 5 on both sides

4a=32

Now divid 4 on both sides

a=8

Answer:

Because 8x6 gives you the same figure.

Step-by-step explanation:

Answer:

y= -3/5 x -7.2

Step-by-step explanation:

-6 = 6/5 + b

b= - 7.2

Answer:

5 shells were broken.

Step-by-step explanation:

To find how many shells were broken, we must multiply the amount broken to the total to find the number of shells broken.

1/3 * 15=5

Answer:

5,000

Step-by-step explanation:

x× 5 %=250

x=250×100÷5=5000

In statistics,

By using above definitions ,

a. Population = all U.S. adults

Sample = 1000 U.S. adults

b.  Population = all nurses working in the San Francisco.

Sample = 38 nurses working in the San Francisco.

c. Population = all credit cards

Sample =  39 credit cards

d. Population = all physicians.

Sample = 1205 physicians

Answer:

cut the two lines at the corner, don't let the lines touch

Step-by-step explanation:

Two lines are drawn at corner of a big triangle and lines should not touch each other

Steps to draw the Pentagon & Triangle are as follow:

So two triangle and one pentagon is produced

Learn more about Pentagon & Triangle here:

https://brainly.com/question/19596085

#SPJ2

Answer:

its 1/2

Step-by-step explanation:

because 1/2 of 10/10 is 5/10

Answer:

1

Step-by-step explanation:

[tex]\frac{5}{10}[/tex]= 0.5

[tex]\frac{1}{2}[/tex]= 0.5

therefore making them equivilant

Answer:

Sedan: 4 passengers

Minivan: 6 passengers

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}[/tex], where [tex]s[/tex] represents the number of people a sedan can seat and [tex]m[/tex] represents the number of people a minivan can seat.

Subtracting the first equation from the second, we have:

[tex]2s+2m-(2s+1m)=20-14,\\\\m=6[/tex]

Now plug in [tex]m=6[/tex] in any of the equations to solve for [tex]s[/tex]:

[tex]2s+1(6)=14, \\2s=8, \\s=4[/tex]

Verify that the solution pair [tex](4, 6)[/tex] works:

[tex]2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark[/tex]

Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.

Answer:

800

Step-by-step explanation:

I started off with putting 240 over x and 30 over 100. Next I multiplied 240 with 100 and got 24000. Then I divided that with 30 and got 800 as my answer.

Hope this helps :)

Answer:

75 Hours

Step-by-step explanation:

First, you'd have to find out how many times 5 dollars can fit into 2700 dollars. You'd simply just divide 2700 by 5. You will get 540.

Next, multiply 8 minutes and 20 seconds by 540. We know that 20 seconds is a third of a minute, so we'll convert 8 minutes and 20 seconds to 8.33 (repeated) minutes.

8.33 (repeated) multiplied by 540 will give you 4500 minutes.

Next, just divide 4500 minutes by 60, and you'll get 75 hours.

Answer:

5.25 inches

Step-by-step explanation:

Answer:

$288

Step-by-step explanation:

to find the area of one rectangular eave of the roof you have to multiply 24 by the hypotenuse of the 12 ft x 16 ft triangular side, so you can find that by using the Pythagorean Theorem

16² + 12² = c²

256 + 144 = c²

400 = c²

20 = c

Area of one eave = 24 x 20 = 480

Area of total roof = 480 x 2 = 960

set up a proportion to find cost ('x'):

30 =  x  

100    960

cross-multiply:  100x = 28800

x = $288

The probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin tossed, then a letter from the word INDIANAPOLIS is selected at random.

Probability for getting head or tell:

P(h) = 1/2

P(t) = 1/2

The word INDIANAPOLIS has 12 letters with 3I's, 2A's, 2N's, 1D's, 1P's, 1L's, 1O's, and 1S's

Probability for getting letter P:

P(getting letter P) = 1/12

P(heads, then letter P) = P(heads)×P(getting P) = (1/2)(1/12) = 1/24

P(tails) = 1/2

P(getting a vowel) = 6/12 = 1/2

P(tails then a vowel) = (1/2)(1/2) = 1/4

P(tails then N) = (1/2)(2/12) = 1/12

P(heads then D or I) = (1/2)(4/12) = 4/24 = 1/6

Thus, the probability are for P(h) = 1/2, P(t) = 1/2, P(getting letter P) = 1/12, P(getting a vowel) = 1/2, P(tails then a vowel) = 1/4, P(tails then N) = 1/12, P(heads then D or I) = 1/6.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Answer:

Sell cars

Step-by-step explanation:

if you do 400 x 25% you get $100

if you try doing 450 x 15% you only get $67.5

Answer:

1

Step-by-step explanation:

1 divided by anything is that number. So with that information 1 divided by on would be 1.

Answer:

5

Step-by-step explanation:

Answer:

its A

Step-by-step explanation: i passed the test