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3 years ago

Write a unit rate that compares the given quantities.

Mathematics

1 answer:

nadezda [96]3 years ago

5 0

Answer:

4 markers per box..

Step-by-step explanation:

.....

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What is 3(x+2)+2(x+2) ?

likoan [24]

Answer:

5x +10

Step-by-step explanation:

3(x+2)+2(x+2)

Distribute

3x+6 +2x+4

Combine like terms

5x +10

4 0

3 years ago

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(Hypothetical.) Suppose five measurements of the volume of a liquid yield the following data (in milliliters).

Digiron [165]

Answer:

The 95% confidence interval for the measurements is [48.106, 53.494].

Step-by-step explanation:

The average M of this sample is

$M=\dfrac{1}{5}\sum_{i=1}^5x_i=\dfrac{1}{5}(52+48+49+52+53)\\\\\\M=\dfrac{254}{5}=50.800$

The standard deviation s of this sample is

$s=\sqrt{\dfrac{1}{(n-1)}\sum_{i=1}^5(x_i-M)^2}$

$s=\sqrt{\dfrac{1}{4}\cdot [(52-50.8)^2+(48-50.8)^2+(49-50.8)^2+(52-50.8)^2+(53-50.8)^2]}$

$s=\sqrt{\dfrac{1}{4}\cdot [(1.44)+(7.84)+(3.24)+(1.44)+(4.84)]}=\sqrt{\dfrac{18.8}{4}}=\sqrt{4.7}\\\\\\s=2.168$

The degrees of freedom are

$df=n-1=5-1=4$

Then, the critical value of t for a 95% CI and 4 degrees of freedom is t=2.776.

The margin of error of the CI is:

$E=t\cdot s/\sqrt{n}=2.776\cdot 2.17/\sqrt{5}=6.024/2.236=2.694$

Then, the lower and upper bounds of the CI are:

$LL=50.800-2.694=48.106\\\\UL=50.800+2.694=53.494$

The 95% confidence interval for the measurements is [48.106, 53.494].

4 0

4 years ago

In △ABC, DG=32 cm . What is the length of AD¯¯¯¯¯?

Sladkaya [172]

I think it's 96 cm. good luck

6 0

3 years ago

What are the diameter and radius of a circle with a circumference of 32π ft? A. d = 16 ft r = 8 ft B. d = 32 ft r = 16 ft C. d =

IRINA_888 [86]

The circumference of a circle is 2PiR
We have 32Pi, so we can divide 32 by 2 to get the radius
The radius is 16.
The diameter is 2x the radius.
The diameter is 32.
Your answer is B.)

6 0

4 years ago

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Jasmine has 3 3 /8 pounds of turkey meat. She is making 1/3 pound turkey burgers. Does Jasmine have enough meat to make 12 turke

Masteriza [31]

Answer: no

Step-by-step explanation:

She needs a little less than 4 pounds to make 12 turkey burgers because 1/3 times 12 is about 3.99 pounds. But she only has 3 3/8 pounds which is about 3.375 pounds.

4 0

4 years ago

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