Consider the relationship between the words pine and tree.

I am between 24 and 34 . you say my name when you count by twos from zero. you say my name when you count by fives from zero. wh

jonny [76]

The answer is 30

2 * 15 = 30
5 * 6 = 30
30 is between 24 and 34

4 0

3 years ago

Nick opens a savings account with $50. Each week after, he deposits $15. He wants to save $500. Write and solve equation to find

Alborosie

Answer:

Equation: 500 = 50 + 15x

Step-by-step explanation:

where x is the number of weeks Nick will have to deposit $15 in order to accumulate $500, given that the first week he deposited $50.

500 = 50 + 15x

450 = 15x

x = 30

Now Nick will have to deposit $15 each week for 30 weeks. This is in addition to the $50 deposit he made week 1. So it will take him 31 total deposits to accumulate the $500.

6 0

3 years ago

What is the 52nd term of the sequence below?

VladimirAG [237]

Because the difference between any term and the previous term is a constant, this is an arithmetic sequence because of that constant which is referred to as the common difference, d. Which in this case is -35--38=-32--35=3

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=initial term, d=common difference, n=term number.

In this case a=-38 and d=3 so

a(n)=-38+3(n-1) which we can simplify to

a(n)=-38+3n-3

a(n)=3n-41, so the 52nd term is:

a(52)=3(52)-41

a(52)=156-41

a(52)=115

3 0

3 years ago

Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably

USPshnik [31]

Answer:

$z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998$

$p_v =2*P(z>3.998)=0.0000639$

With the most common significance levels used $\alpha= 0.1, 0.05, 0.01$ we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given

n=297 represent the random sample of male taken

X=183 represent the men who said yes, they had driven a car when they probably had too much alcohol

$\hat p=\frac{183}{297}=0.616$ estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

$p_o=0.5$ is the value that we want to test

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

After replace we got:

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998$

Decision

We have a right tailed test so then the p value would be:

$p_v =2*P(z>3.998)=0.0000639$

With the most common significance levels used $\alpha= 0.1, 0.05, 0.01$ we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

7 0

3 years ago

Given the function f(x)=x2+2x, the value of f(4) is

Citrus2011 [14]

Answer:

24

Step-by-step explanation:

f(x)=x^2+2x

Let x= 4

f(4)=4^2+2*4

= 16 + 8

= 24

5 0

3 years ago