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bogdanovich [222]
3 years ago
11

A person places $262 in an investment account earning an annual rate of 3.7%,

Mathematics
1 answer:
yaroslaw [1]3 years ago
3 0

Answer:

$315.24

Step-by-step explanation:

Principal, P =$262

Rate, r= 3.7% =0.037

Time, t= 5 Years

The Value of the Investment which is compounded continuously is gotten using the formula:

V=Pe^{rt}\\=262*e^{0,037*5}\\=\$315.24

The value of the investment after 5 years is $315.24 to the nearest cent.

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Consider testing H^0: u=20 against H^a: u<20 where u is the mean number of latex gloves used per week by all hospital employe
iragen [17]

Answer:

Part a: P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=46-1=45  

Since is a one sided test the p value would be:  

p_v =P(t_{(45)}  

Part b: Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, and we can conclude that the true mean is not lower than 20 at 1% of signficance.  

a. There is insufficient evidence to reject h^0

Step-by-step explanation:

Data given and notation  

\bar X=19.1 represent the sample mean

s=11.8 represent the sample standard deviation

n=46 sample size  

\mu_o =20 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is lower than 20, the system of hypothesis would be:  

Null hypothesis:\mu \geq 20  

Alternative hypothesis:\mu < 20  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{19.1-20}{\frac{11.8}{\sqrt{46}}}=-0.517    

Part a: P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=46-1=45  

Since is a one sided test the p value would be:  

p_v =P(t_{(45)}  

Part b: Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, and we can conclude that the true mean is not lower than 20 at 1% of signficance.  

a. There is insufficient evidence to reject h^0

5 0
2 years ago
Please help with at least one of these( I accept 1 answer if you have it; make sure you are 100% positive its correct though!)
AlladinOne [14]

Answer:

Step-by-step explanation:

7 0
3 years ago
- x - x + 11 - 2x = 83<br>please show step by step!!​
m_a_m_a [10]

Answer:

x=-18

Step-by-step explanation:

<u>Given</u>

<u />-x-x+11-2x=83

<u>Step 1: Combine Like Terms on LHS</u>

<u />-x-x+11-2x=83\\-2x+11-2x=83\\-4x+11=83

<u>Step 2: Subtract 11 on both sides</u>

<u />-4x+11=83\\-4x+11-11=83-11\\-4x=72

<u>Step 3: Divide both sides by -4 to isolate the x-variable</u>

<u />-4x=72\\\\\frac{-4x}{-4}=\frac{72}{-4}\\ \\ x=-18

<u>Final Answer</u>

<u />x=-18

7 0
2 years ago
Read 2 more answers
Write down the integer values satisfied by this diagram. I n -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9​
Flauer [41]

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The integer values that satisfy the given diagram are 0, 1, 2, and, 3.

<h3>What is a number line?</h3>

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

Given a solid dot at 3, while an open dot at -1, also, there is a line from -1 to 3. Therefore, the integer values that satisfy the given diagram are 0, 1, 2, and, 3.

Learn more about the Number line:

brainly.com/question/557284

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6 0
2 years ago
Alicia invested $32000 into an account earning 3% annual interest compounded quarterly. She makes no other deposits and does not
Assoli18 [71]
A = P(1+r/n)^<span>(nt)
A = 32,000(1+0.03/4)^28
A = 39,446.78 ...........this is your answer</span>
6 0
3 years ago
Read 2 more answers
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