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kirill [66]
3 years ago
7

A rose garden in the city park is rectangular and is 9m wide. If the area of the rectangle is 144m, what is the length of the ga

rden
Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

Answer:

So 144 divided by 9 equals 16 so the length is 16. Cause 16 x 9 = 144 Your Welcome !

Step-by-step explanation:

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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 180180 engin
tiny-mole [99]

Answer:

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=4.6 represent the sample mean

\sigma=0.9 represent the population standard deviation

n=180 sample size  

\mu_o =4.8 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.

z 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 thetrue mean is below the specifications, the system of hypothesis would be:  

Null hypothesis:\mu \geq 4.8  

Alternative hypothesis:\mu < 4.8  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-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:  

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

P-value

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

p_v =P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

4 0
3 years ago
The nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams. You eat 9 cashews
RoseWind [281]

Answer:

there are 161 calories in 28 gram,then:

one gram of dry roasted cashews contains=161/28=5.75 calories

You eat 12 gram of it, =12*5.75=69 calories


9 cashews  has 12gram, then:

one gram of dry roasted cashews contains= 9/12 = 0.75 cashews

there are total of 28gram in one serving.

Therefore cashews in one serving = 0.75*28=21cashews

a)69 calories

b)21cashews

4 0
3 years ago
A ship is 2.8 degrees off course. If the ship is traveling at 14 mph, how far off course will it be after 2 hours?
Ostrovityanka [42]
I am pretty sure it’s 1.37 miles
6 0
3 years ago
Please answer these 5 questions ill give brainliest and give more points after you answer
givi [52]

Answer:

go to the skating rink

Step-by-step explanation:

if multiply 5x 7 you get 35

If you add 35+15 you get 50 which is the amount of money you have. So if you chose the bowling ally you could bring 7 friends

but is you multiply 3x10 that equals 30

Add that by 20 and you get 50

let me know if its right

3 0
3 years ago
Find the sum<br> 10 + 8 + 0.6 + 0.04
Fudgin [204]

10 + 8 + 0.6 + 0.04 = 18.64

7 0
2 years ago
Read 2 more answers
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