The circle graph shows the results of a survey about favorite hobbies. A total of 1,000 people
were surveyed.
Favorite Hobbies
8%
Scrapbooking
24%
Playing Sports
16%
Collecting
22%
Cooking
12%
Reading
18%
Traveling
a. How many selected traveling as their favorite hobby?

Answer:

Mean of sample means = 22.12

Step-by-step explanation:

Data points     1     2     3     4     5        Sample mean

Sample 1         21    10   19    35   23         21.6

Sample 2        34   44   29   15   30         30.4

Sample 3        38   22   29   31   15          27

Sample 4         47   39    20  16   36         31.6

[tex]Mean of means = \frac{Sum of sample means}{No. of samples}[/tex]

                         [tex]=\frac{21.6 + 30.4 + 27 + 31.6 }{5} \\= 22.12[/tex]

Answer:

22.12

Step-by-step explanation:

Hope this helps

Answer:

18.90

Step-by-step explanation:

3x12=36

36-15=21

21 x 0.9

Answer:

$19.65

Step-by-step explanation:

12*3=36

15*.09=1.35

15+1.35=16.35

36-16.35=$19.65

Answer:

42º

Step-by-step explanation:

90-48=42

Answer:

[tex]42^{o}[/tex]

Step-by-step explanation:

The square angle indicates it is a right angle, which is [tex]90^{o}[/tex]

[tex]90^{o}[/tex] - [tex]48^{o}[/tex] = [tex]42^{o}[/tex]

Answer:

D

Step-by-step explanation:

because 1 is a factor of every number and also three is a factor of 27

Answer:

Step-by-step explanation:

Answer:

Set up the area/circumference equations using x as the unknown variable. Then, solve for that variable and apply the correct unit.

Step-by-step explanation:

For example,

Find the side length of a square with an area of 49 square centimeters.

Since [tex]area=s^{2}[/tex], i can write [tex]49=s^2\\then take the square root of each side to solve for s.\\s=\sqrt{49} \\s=7 centimeters[/tex]

Answer:

24 blue cars

Step-by-step explanation:

In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;

[tex]\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}[/tex]

Cross products,

[tex]5x = 120[/tex]

Inverse operations,

[tex]x = 24[/tex]

Answer:

29 day) $15.00

30 day $15.00

31 day $15.00

The cost was the same for all three days

Step-by-step explanation:

Rover = 3/4 can

Bobo = 1/2 can

29(3/4) + 29(1/2) = 21.75 + 14.5 = 36.25 cans

36.25/3 = 12.08

must buy 4 packs of 3 at $5.00 each = $15.00

30(3/4) + 30(1/2) = 22.5 + 15 = 37.5 cans

37.5/3 = 12.5

must buy 4 packs of 3 at $5.00 each = $15.00

31(3/4) + 31(1/2) = 23.25 + 15.5 = 38.75 cans

38.75/3 = 12.92

must buy 4 packs of 3 at $5.00 each = $15.00

Answer: H. 139.50

Step-by-step explanation:

Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50

Answer:

third option

Step-by-step explanation:

subtract 125/4 from each side to get:

x² + 11x -1

use quadratic formula to get:

-11 ± √121 - 4(-1)/2

= -11 ± ([tex]\sqrt{125}[/tex]) / 2

* [tex]\sqrt{125}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]

= -11 ± (5[tex]\sqrt{5}[/tex]) / 2

Answer:

x^12

Step-by-step explanation:

when multiplying with exponents, keep base and add exponents

when dividing with exponents, keep base and subtract exponents

Answer:

m=8

Step-by-step explanation:

Divide each term in

7

m

=

56

7

m

=

56

by

7

7

.

7

m

7

=

56

7

7

m

7

=

56

7

Cancel the common factor of

7

7

.

Tap for more steps...

m

=

56

7

m

=

56

7

Divide

56

56

by

7

7

.

m

=

8

m

=

8

Step-by-step explanation:

7m=56

you have to have m by itself so to do that divide 7 on both sides.

7m/7=56/7

the 7 gets cancels on the left side so now you have

m=56/7

you divide

you get m=8

Answer:

t = 9 s

Step-by-step explanation:

A stone is thrown downward with an intitial velocity of 29.5 m/sec will travel a distance of a meters, where

[tex]s(t) = -4.9t^2 + 29.4+132.3[/tex]

We need to find when the stone will hit the ground. It means when s(t) = 0. So,

[tex]-4.9t^2 + 29.4t+132.3=0\\\\t=-3\ and\ t=9[/tex]

So, the stone will take 9 seconds to hit the ground. Hence, this is the required solution.

Answer:

In 10 years, you will have $793,789.89

Step-by-step explanation:

Counted with compound interest, i would need to know what was the initial but the answ is $793,789.89

Answer:

Imaoo

Step-by-step explanation:

answer: C

Answer: Letsssss goooooo

the answer is 4y

dababy letssssssssssss gooooooooooooooooo

Step-by-step explanation:

Answer:

The LCD in 1/30 + 1/24 is 90.

Answer:

13x+16

Step-by-step explanation:

3x+7+8x+2x+4+5

13x+7+4+5

13x+16

Answer:

r≈2.82

Step-by-step explanation:

Hope this helps and have a great day!!!

Step-by-step explanation:

that can help you

Answer:

ST and WX

Step-by-step explanation:

flipped around st and wx mathched

Answer:

ST and WX

Step-by-step explanation:

Answer:

24 ft²

Step-by-step explanation:

1/2x12x4=24 ft²

Answer:

both of em

Step-by-step explanation:

Answer:

the value of x is acb 133°

Answer:

1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Step-by-step explanation:

Given that a recipe for 1 batch of cookies calls for 3/4 cup of flour, to determine how much flour is required to bake 1 1/2 batches of cookies, the following calculation must be performed:

3/4 = 0.75

1/2 = 0.5

1 = 0.75

1.5 = X

1.5 x 0.75 / 1 = X

1.125 = X

0.125 = 1/8

Thus, 1 1/8 cups of flour are required to bake 1 1/2 batches of cookies.

Answer:

Step-by-step explanation:

From the given information;

We will realize that in the 2nd & 3rd equation, the integer "x" is missing.

So, the correct equation should be:

4x - 2 + 6z = 0

x - y - z = 0

2x - y + 3z = 0

By rearrangement; if we switch equation (1) and (2)

x - y - z = 0      ----- (1)

4x - 2 + 6z = 0 ------ (2)

2x - y + 3z = 0  ------ (3)

If we multiply equation (1) and add that to  equation (2);

Then, we have:

x - y - z = 0

2y + 10z = 0

2x - y + 3z = 0

Also, if we multiply equation (1) by -2 and add that to equation (3), we have:

x - y - z = 0

2y + 10z = 0

y + 5z = 0

From above recent equation, if we swap equation (2) and (3);

x - y - z = 0

y + 5z = 0

2y + 10z = 0

Then, multiply equation (2) with -2, followed by adding it to equation(3);

Then:

x - y - z = 0

y + 5z = 0

0 = 0

Now, there exists no equation (3). Thus, let assume z = t to solve for x & y

y + 5z = 0

y = -5t

Similarly;

x - y - z = 0

x = -5t + t

x = -4t

Hence;

x = -4t; y = -5t; &  z = t

Answer:

True

Step-by-step explanation:

Just write down the answer.

Answer:

This is actually easy.

You need to multiply the term outside the bracket with the ones in the bracket (I hope I make sense lol)

Answer is 50 + 10n