What is the answer to these two problens

According to a 2009 Reader's Digest article, people throw away about 14% of what they buy at the grocery store. Assume this is t

ahrayia [7]

Answer:

18.67% probability that the sample proportion does not exceed 0.1

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

For the sampling distribution of a sample proportion, we have that $\mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$\mu = 0.14, \sigma = \sqrt{\frac{0.14*0.86}{59}} = 0.045$

What is the probability that the sample proportion does not exceed 0.1

This is the pvalue of Z when X = 0.1. So

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

$Z = \frac{0.1 - 0.14}{0.045}$

$Z = -0.89$

$Z = -0.89$ has a pvalue of 0.1867

18.67% probability that the sample proportion does not exceed 0.1

5 0

2 years ago

What makes a complementary angle complementary?

harina [27]

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.

Step-by-step explanation:

6 0

1 year ago

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Juan had $24400 and chose to split the money into two different mutual funds. During the first year, Fund A earned 4% interest a

Sidana [21]

Answer: Juan invested $14,900 in Fund A and $9,500 in Fund B.

Step-by-step explanation:

Let x= Amount invested in Fund A .

Since , total amount invested = $24400

Then, Amount invested in Fund B = 24400-x

Fund A earned 4% interest and Fund B earned 6% interest.

Interest earned by Fund A= 4% of x = 0.04 x

Interest earned by Fund B= 6% of x = 0.06 ( 24400-x)

= 0.06(24400)-0.06x

= 1464-0.06x

Total interest = 0.04x+1464-0.06x= 1464-0.02x

If he received a total of $1166 in interest, then

$1464-0.02x =1166\\\\\Rightarrow\ 0.02x=1464-1166\\\\\Rightarrow\ 0.02x=298\\\\\Rightarrow\ x=\dfrac{298}{0.02}=14900$

So, Amount invested in Fund A = $14900

Amount invested in Fund B = $( 24400-14900 ) = $9500

Hence, Juan invested $14,900 in Fund A and $9,500 in Fund B.

5 0

2 years ago

Selena is flying a kite as shown below. Use the measurements to find how long the kite string is.

zalisa [80]

Answer:

20 feet

Step-by-step explanation:

In this case, you'd use pythagoras's theorem (a^2 + b^2 = c^2)

The hypotenuse is always = c, so you'd set up the equation like this:

16^2 + 12^2 = c^2, where you're solving for c (to find out the length of the kite string)

This equation simplifies to 256 + 144 = c^2

which further simplifies to 400 = c^2

to solve for c, we square root both sides so the c is isolated:

$\sqrt{400} = \sqrt{c}$

20 = c

so the length of the kite string is 20 feet

3 0

2 years ago

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Fanny has a string that is 56.789m long . If she cut the string into pieces that are 4.3m long, how many pueces (rounded to the

Usimov [2.4K]

56.789 / 4.3 = 13.206 rounded = 13.2m

4 0

2 years ago

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