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Shalnov [3]
3 years ago
6

Can anyone help me out? I’ll give Brainly! Thank you :)

Mathematics
1 answer:
Oliga [24]3 years ago
7 0

Answer:

The rate of return is 14%

Step-by-step explanation:

The rate of return can be determined by,

RR = \frac{A_{f} - A_{i}  }{A_{i} } x 100%

where:

RR is the rate of return

A_f} is the final amount = $690 -  $6 = $684

A_{i} is the initial amount = $15 x 40 = $ 600

So that,

RR = \frac{684 - 600}{600} x 100%

     = 0.14 x 100%

     = 14%

Therefore, the rate of return is 14%.

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The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.7 ent
SOVA2 [1]

Answer:

t=\frac{2.1-1.7}{\frac{1.01}{\sqrt{48}}}=2.744    

p_v =P(t_{(47)}>2.744)=0.0043  

If we compare the p value and the significance level given \alpha=0.02 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean is higher than 1,7 entrees per order at 2% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=2.1 represent the mean

s=1.01 represent the sample standard deviation

n=48 sample size  

\mu_o =1.7 represent the value that we want to test

\alpha=0.02 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 higher than 1.7, the system of hypothesis would be:  

Null hypothesis:\mu \leq 1.7  

Alternative hypothesis:\mu > 1.7  

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{2.1-1.7}{\frac{1.01}{\sqrt{48}}}=2.744    

P-value

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

df=n-1=48-1=47  

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

p_v =P(t_{(47)}>2.744)=0.0043  

Conclusion  

If we compare the p value and the significance level given \alpha=0.02 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can conclude that the true mean is higher than 1,7 entrees per order at 2% of signficance.  

4 0
3 years ago
Read 2 more answers
What is the answer to a,b, and c? Thanks!
Katarina [22]

The area of a triangle can be calculated as half the product of base length and height. We want the area to be no greater than 10 in².

a) (1/2)(4)(2x-3) ≤ 10

b) 4x -6 ≤ 10 . . . . . simplify

... 4x ≤ 16 . . . . . . . .add 6

... x ≤ 4 . . . . . . . . . divide by the coefficient of x

c) The maximum value of (2x -3) in is (2·4 -3) in = 5 in.

The triangle should be no more than 5 in high to have an area less than 10 in².

6 0
3 years ago
Determine the ratio of
lawyer [7]
To solve this you would divide until you can’t. I recommend staying in whole numbers:) I always divide by twos because I think it’s more efficient! 4 divided by 2 is 2 and 30 divided by 2 is 15 sooo (2 hours to 15) hope this helped!
5 0
3 years ago
Priya can bike 150 meters in 20 seconds at this rate , how long would it take her to bike in 3,000 meters???????? Does anyone kn
ExtremeBDS [4]

Answer:

400 seconds

Step-by-step explanation:

150/20=7.5 meters per second

3000/7.5=400 seconds

3 0
3 years ago
Calculate the slope.please help due in 2 hours
sergejj [24]

Answer:

Slope = 4

Step-by-step explanation:

Use any two pairs from the table of values, say (0, 3) and (2, 11).

Slope = ∆y/∆x

Slope = \frac{11 - 3}{2 - 0}

Slope = \frac{8}{2}

Slope = 4

3 0
3 years ago
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