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labwork [276]
3 years ago
5

To prepare for a party, Mark buys a small bunch of balloons for $4.00 and

Mathematics
1 answer:
kakasveta [241]3 years ago
6 0

Answer:

15

Step-by-step explanation:

4+3.85x=61.75

3.85x=57.75

x=15

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Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon, would like to test t
Amanda [17]

Answer:

t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402    

df = n-1= 22-1=21

t_{\alpha/2}= -2.08

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

Step-by-step explanation:

Data given

\bar X=33.9 represent the sample mean

s=4.1 represent the sample standard deviation

n=22 sample size  

\mu_o =26 represent the value that we want to test

\alpha=0.025 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)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:  

Null hypothesis:\mu \geq 36  

Alternative hypothesis:\mu < 36  

The statistic is given by:

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

And replacing we got:

t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402    

Now we can calculate the critical value but first we need to find the degreed of freedom:

df = n-1= 22-1=21

So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:

t_{\alpha/2}= -2.08

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

3 0
3 years ago
F(x) = -7x2 + 9x - 15 and g(x) = -12x2 – 15x + 7
djyliett [7]

Answer:

{5x}^{2}  + 6x =  - 8

Step-by-step explanation:

This question is asking you to insert two equations, f(x) and g(x), into the equation g(x) - f(x). This will lead to the equation below.

{ - 12x}^{2}  - 15x + 7 - ({ - 7)x}^{2}  + 9x - 15

Now we can solve for the equation.

{ - 5x}^{2}  - 6x - 8 = 0 \\   {5x}^{2}  + 6x =  - 8

3 0
2 years ago
Help please like PLEASE ASAP
FromTheMoon [43]

Answer:

1/5^5

Step-by-step explanation:

Flip the equation into a fraction.

:>

5 0
3 years ago
Read 2 more answers
Which type of number is divisible by two?<br> even<br> odd<br> NEXT QUESTION<br> O<br> ASK FOR HELP
lutik1710 [3]

Answer:

even

Step-by-step explanation:

google

3 0
3 years ago
Read 2 more answers
Please answer this correctly without making mistakes
tankabanditka [31]

Answer:

263.76

Step-by-step explanation:

Assuming the shaded area is the yellow area all we must do is find the area of the small circle and subtract it from the larger circle.

To do this we can use the area of a circle equation:

A=\pi r^2

first we need to find the radius of the large circle which is simply 4+6= 10

so the area would be:

A=\pi 10^2\\A=100\pi

then we find the area of the small circle is

A=4^2\pi \\A=16 pi

next we evaluate:

100\pi -16\pi =84\pi

Then replace pi with 3.14:

84 · 3.14 = 263.76

And you have your answer!

Hope this helps!

8 0
3 years ago
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