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Nesterboy [21]
3 years ago
11

There will be 10 pounds of flour put evenly into 7 sacks. How many pounds of flour will be in each sack?

Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Answer:

1.429 lbs per sack

Step-by-step explanation:

Given that 10 lbs of flour needs to be divided evenly into 7 sacks

amount of flour in each sack,

= 10 lbs ÷ 7 sacks

= 10/7 lbs per sack

= 1.429 lbs per sack

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The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet
nevsk [136]

Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The feet of the average adult woman are 24.6 cm long

This means that \mu = 24.6

16% of adult women have feet that are shorter than 22 cm

This means that when X = 22, Z has a p-value of 0.16, so when X = 22, Z = -1. We use this to find \sigma

Z = \frac{X - \mu}{\sigma}

-1 = \frac{22 - 24.6}{\sigma}

-\sigma = -2.6

\sigma = 2.6

Approximately what percent of adult women have feet longer than 27.2 cm?

The proportion is 1 subtracted by the p-value of Z when X = 27.2. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{27.2 - 24.6}{2.6}

Z = 1

Z = 1 has a p-value of 0.84.

1 - 0.84 = 0.16

0.16*100% = 16%.

Approximately 16% of adult women have feet longer than 27.2 cm.

3 0
3 years ago
Three times the sum of a number and seven is negative thirty-six. What is the number?
Katarina [22]

Answer:

n =-19

Step-by-step explanation:

3* (n+7) = -36

Distribute

3n+21 = -36

Subtract 21 from each side

3n+21-21 = -36-21

3n = -57

Divide by 3

3n/3 = -57/3

n =-19

7 0
3 years ago
Read 2 more answers
in a triangle two sides of the same length the ratio of each of these sides to the third side is 5:3 if the perimeter of the tri
AveGali [126]

Answer:

Step-by-step explanation:

Perimeter of a triangle equals side 1 plus side 2 plus side 2

           P = s1 + s2 + s3                 side 1 = side 2 =  x

                                                     x/side 3 = 5 / 3

                                                     x  = (5/3) side 3

                                                     x (3/5)  = side 3

                                                 

                                                     perimeter = 65    slove for x

          65  = x + x + 3x/5

         325  = 5x + 5x + 3x

         325  = 13X

          25   = x    equal side 1 and side 2  

          side 3 = 25(3/5)  = 15

3 0
3 years ago
If 3y-x=-7 , what is the value of (2^x)/(8^y)
Travka [436]

Answer:

22=-7

Step-by-step explanation:

7 0
3 years ago
Which one is the right answer?
azamat

Answer:

D

Step-by-step explanation:

First of all, i mean A and B are out first thing because you don't have enough information to find out if it's true.

C is incorrect because as stated before, not enough information.

<u><em>However,</em></u>

You know that the angles 1-8 are all supplementary, which means that 1 and 2 can be added to make 180 degrees, as so can 3 and 4, 3 and 1. 2 and 4, blah blah blah.

In D, the angles that are being added are supplementary, because the three lines making up that weird figure is adjacent and is parallel to each other.

If you give one of the angles a degree, you know that 180-x with x being that degree, will equal the other angle on the other side of the lines.

Therefore its D.

Edit:

I just realized that theres an angle stated at the top of the screen. Still with that angle given, A and B is incorrect and the answer is still D.

3 0
3 years ago
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