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dusya [7]
3 years ago
11

The following data values represent a sample. What is the variance of the

Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0

Answer:

C

Step-by-step explanation:

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In a pen of goats and chickens there are 25 heads and 90 feet. How many goats and chickens are in the pen.
Anna [14]

Answer:

5 chickens, 20 goats

Step-by-step explanation:

We can set up two equations and use substitution

There are 25 total goats and chickens, so

G + C = 25

Goats have 4 feet and chickens have two, so

4G + 2C = 90\\

By solving for G in the first equation,

G = 25 - C\\

We can now use substitution,

G = 25 - C\\4G + 2C = 90\\4(25 - C) + 2C = 90\\100 - 4C + 2C = 90\\-2C = -10\\C = 5\\

We have 5 chickens, so we have 20 goats.

Let's double check:

5(2) + 20(4) = 90\\10 + 80 = 90\\90 = 90\\

It checks out!

3 0
4 years ago
Which two expressions are equivalent?
blsea [12.9K]

Answer:

The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. Ding  A single lap should be completed each time you hear this sound. Ding  Remember to run in a straight line, and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark, get ready, ding

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve for x in each exponential equation. Round off answers to four decimal places.​
ser-zykov [4K]

Answer:

0.6875

Step-by-step explanation:

24.5 = 3.2⁴ˣ

To get the exponent out of its exponent form, we need to take the ln of both sides:

ln(24.5) = 4x · ln(3.2)                              - divide both sides by ln(3.2)

\frac{ln(24.5)}{ln(3.2)} = 4x                                              - divide both sides by 4

x = 0.6875

7 0
3 years ago
Ali wants to create a bulletin board by cutting a rectangular piece of cork and wrapping the edges in ribbon. She decides the wi
Montano1993 [528]

Answer:

The answer is below

Step-by-step explanation:

She decides the width of the board should be atleast 35% of the length.

Solution:

Let x represent the length of the bulletin board and y be the width of the bulletin board. Since there is 100 inches available, hence:

Perimeter = 2(length + width)

100 = 2(x + y)

x + y = 50        

Also, since the width is 35% of the area, hence:

y = 35% of x

y = 0.35x

Since:

x + y = 50    

x + 0.35x = 50

1.35x = 50

x = 37.04

x ≅ 38 inches to the next whole number

x + y = 50

y = 50 - 38

y = 12 inches

The bulletin board is 38 inches by 12 inches

6 0
3 years ago
PLEASE HELP ME!
makvit [3.9K]

Answer:

Step-by-step explanation:

A.

(7^2)^x = 1

(49)^x = 1

thus x = 0

B.

(7^0)^x=1

(1)^x = 1

x can be any real number.

3 0
3 years ago
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