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ollegr [7]
3 years ago
15

20 points! need these answers asap!

Mathematics
2 answers:
coldgirl [10]3 years ago
4 0

Answer:

1. diameter, radius

2. 6 feet

3. 28.2

Step-by-step explanation:

dsp733 years ago
4 0

Answer:

diameter radius

6 feet

28.2

Step-by-step explanation:

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If a1=4 and an =2an-1 – 1 then find the value of a4.
musickatia [10]
1 = 4

a2 = -2(a1) - 1
a2 = -2(4) - 1
a2 = -9

a3 = -2(a2) - 1
a3 = -2(9) - 1
a3 = -19

Can you do a4 and a5 and answer?
7 0
3 years ago
What is the next step to solve this equation?<br> 3x - 5 = 7
Ronch [10]

Answer:

Find the value of x the value is x=4

3x4=12

12-5=7

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Derek bought a package of 8 tennis balls. The total weight of the tennis balls was 18 ounces. How much did each tennis ball weig
beks73 [17]
2.25 ounces...18/8=2.25

7 0
3 years ago
Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp
aleksklad [387]

Answer:

95.44% probability the resulting sample proportion is within .04 of the true proportion.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For the sampling distribution of the sample proportion in sample of size n, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.2, n = 400

So

\mu = 0.2, s = \sqrt{\frac{0.2*0.8}{400}} = 0.02

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16.

X = 0.24

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

By the Central Limit Theorem

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

Z = \frac{0.24 - 0.2}{0.02}

Z = 2

Z = 2 has a pvalue of 0.9772.

X = 0.16

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

Z = \frac{0.16 - 0.2}{0.02}

Z = -2

Z = -2 has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

95.44% probability the resulting sample proportion is within .04 of the true proportion.

6 0
3 years ago
Read 2 more answers
Solve using the unit rate problems find the constant speed 60 miles in 1.5 hours what is the answer.
kherson [118]
40 miles per hour. if you take 60 divided by 1.5(the speed over time) you get 40mph
7 0
3 years ago
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