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3 years ago

(Q1) Which of the following is true about the function y = 3 • 2x?

Mathematics

2 answers:

Virty [35]3 years ago

6 0

Answer: Third option

Step-by-step explanation:

You have the function:

$y=3*2^x$

Then, if the value of x increases by 1, you obtain:

-Rewrite the function:

$y=3*2^{(x+1)}$

-Substitute values for x into the function and observe what happen to y. Then:

x=1

$y=3*2^{(1+1)}=12$

x=2

$y=3*2^{(2+1)}=24$

x=3

$y=3*2^{(3+1)}=48$

The value of y is doubled.

lianna [129]3 years ago

4 0

Answer:

C=the value of x increases by 1, the value of y will double.

Step-by-step explanation:

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The rate defines how much the portion is of the base.

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3 years ago

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A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

Orlov [11]

Answer:

95.44% probability that the sample proportion will differ from the population proportion by less than 0.03.

Step-by-step explanation:

To solve this question, we need to understand 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

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 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 $s = \sqrt{\frac{p(1-p)}{n}}$

In this question:

$p = 0.05, n = 212, \mu = 0.05, s = \sqrt{\frac{0.05*0.95}{212}} = 0.015$

What is the probability that the sample proportion will differ from the population proportion by less than 0.03?

This is the pvalue of Z when X = 0.03 + 0.05 = 0.08 subtracted by the pvalue of Z when X = 0.05 - 0.03 = 0.02. So

X = 0.08

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

By the Central Limit Theorem

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

$Z = \frac{0.08 - 0.05}{0.015}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

X = 0.02

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

$Z = \frac{0.02 - 0.05}{0.015}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

95.44% probability that the sample proportion will differ from the population proportion by less than 0.03.

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3 years ago

Four circles of radius 3 are arranged as shown. Their centers are the vertices of a square. The area of the shaded region is clo

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Answer:

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Step-by-step explanation:

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3 years ago

We want to use this information to determine if there is an effect of friendship. In other words, is the mean price when buying

saw5 [17]

Answer:

H0 : mu1 = mu2

Ha : mu1 ≠ mu2

Which means

Null hypothesis H0; the true mean price when buying from a friend mu1 and the true mean price when buying from a stranger mu2 is the same/equal

Alternative hypothesis Ha; the true mean price when buying from a friend mu1 and the true mean price when buying from a stranger mu2 is different (not equal)

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean(i.e it tries to prove that the old theory is true). While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

Therefore, for the case above;

H0 : mu1 = mu2

Ha : mu1 ≠ mu2

Which means

Null hypothesis H0; the true mean price when buying from a friend mu1 and the true mean price when buying from a stranger mu2 is the same/equal

Alternative hypothesis Ha; the true mean price when buying from a friend mu1 and the true mean price when buying from a stranger mu2 is different (not equal)

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3 years ago

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Answer:

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Step-by-step explanation:

this question is not correct

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