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3 years ago

Debby needed one-third of a cup of water for 1 flower if she had nine flowers how many cups wold she need

1 answer:

5 0

To solve this problem, you must multiply the 1/3 cup of water needed for one flower, by 9.
1 9 9
--- * ----- = ---- = 3 cups
3 1 3

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In the United States, 7% of all registered voters belong to the Green party. A random sample of 50 registered voters is taken. U

Maksim231197 [3]

Answer:

The expected value of the sample proportion is of 0.07.

1. P(p < .02) = 0.0823

2. P(p > .15) = 0.0132

3. P(.05 < p < .09) = 0.4176

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

7% of all registered voters belong to the Green party. 50 voters:

This means that $p = 0.07, n = 50$

So, for the normal distribution:

$\mu = 0.07, s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.07*0.93}{50}} = 0.036$

The expected value of the sample proportion is of 0.07.

1. Determine P(p < .02).

This is the pvalue of Z when X = 0.02. So

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

By the Central Limit Theorem

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

$Z = \frac{0.02 - 0.07}{0.036}$

$Z = -1.39$

$Z = -1.39$ has a pvalue of 0.0823

P(p < .02) = 0.0823

2. Determine P(p > .15).

This is 1 subtracted by the pvalue of Z when X = 0.15. So

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

$Z = \frac{0.15 - 0.07}{0.036}$

$Z = 2.22$

$Z = 2.22$ has a pvalue of 0.9868

1 - 0.9868 = 0.0132

P(p > .15) = 0.0132

3. Determine P(.05 < p < .09).

This is the pvalue of Z when X = 0.09 subtracted by the pvalue of Z when X = 0.05. So

X = 0.09

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

$Z = \frac{0.09 - 0.07}{0.036}$

$Z = 0.55$

$Z = 0.55$ has a pvalue of 0.7088

X = 0.05

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

$Z = \frac{0.05 - 0.07}{0.036}$

$Z = -0.55$

$Z = -0.55$ has a pvalue of 0.2912

0.7088 - 0.2912 = 0.4176. So

P(.05 < p < .09) = 0.4176

3 0

3 years ago

Which information could not be used to show that triangle FGH=IJK by SAS?

daser333 [38]

The answer is option D

7 0

3 years ago

Read 2 more answers

Write x4 * x2 without exponents.

AveGali [126]

Hey there!

It’s very much impossible to make this equation without it being an exponent because the result has an exponent in it itself

x⁴ × x²

= (x × x × x × x) + (x × x)

≈ x⁴ ⁺ ²

≈ x⁶

Therefore, the answer should be: x⁶

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

7 0

2 years ago

What is the order of magnitude

Angelina_Jolie [31]

Answer:

El orden de magnitud de un número es la potencia decimal del valor relativo de su cifra significativa. Por tanto, se dice por ejemplo que dos números difieren 2 órdenes de magnitud si uno es 100 veces más grande que el otro.

Step-by-step explanation:

3 0

4 years ago

On a recent trip, mary drove 50 miles. what was the average speed at which she drove the 50 miles? (1) she drove 30 miles at an

meriva

110 miles per minute i think

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3 years ago