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GarryVolchara [31]
3 years ago
14

PLEASE AWNSER SOON IT'S DUE IN 10 MIN!

Mathematics
2 answers:
Bond [772]3 years ago
8 0

Answer:

68

Step-by-step explanation:

The triangles can be found by 2(2x2).

The smaller rectangles can be found by 2(2x6).

The bigger rectangle can be found by 8x6.

8+24+36= 68

cupoosta [38]3 years ago
3 0

Answer:

80 units

Step-by-step explanation:

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The area of a square poster is 31 square inches. find the length of one side of the poster. Explain
kobusy [5.1K]

Answer:

5.57

Step-by-step explanation:

In order to find the are of a square you would use the equation <em>a²</em>. However, since you are finding the length of one side and its a square, you use the equation \sqrt{a}. The area of this square is 31 sq in., so you would replace a with 31. The equation then becomes \sqrt{31}<em>. </em>When out into a calculator, the answer is 5.567764... which rounded up to the nearest hundreth is 5.57.

5 0
3 years ago
The table shows the coordinates of four points on a line.
kondor19780726 [428]

Answer:f is slope

Step-by-step explanation:

6 0
3 years ago
please help 30 points !! in a proportional relationship when Y=2 when X=8 Which of the following equations would describe this r
Alex777 [14]

Answer:

(1)

Step-by-step explanation:

We will try:

(1) y = \frac{1}{4}x => 2 = 2 (seems legit)

(2) y = 4x => 2 = 32 (nope)

(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)

(4) y = \frac{1}{2}x - 2 => 2 = 2 (like the above)

8 0
3 years ago
23. A certain type of gasoline is supposed to have a mean octane rating of at least 90. Suppose measurements are taken on of 5 r
Nostrana [21]

Answer:

a) p_v =P(Z          

b) Since p_v we can reject the null hypothesis at the significance level given. So based on this we can commit type of Error I.

Because Type I error " is the rejection of a true null hypothesis".

c) P(\bar X >90)=1-P(Z

1-P(Z

d) For this case we need a z score that accumulates 0.02 of the area on the right tail and 0.98 on the left tail and this value is z=2.054

And we can use this formula:

2.054=\frac{90-89}{\frac{0.8}{\sqrt{n}}}

And if we solve for n we got:

n = (\frac{2.054 *0.8}{1})^2=2.7 \approx 3

Step-by-step explanation:

Previous concepts  and data given  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

We can calculate the sample mean and deviation with the following formulas:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}

\bar X=88.96 represent the sample mean    

s=1.011 represent the sample standard deviation  

n=5 represent the sample selected  

\alpha significance level    

State the null and alternative hypotheses.    

We need to conduct a hypothesis in order to check if the mean is less than 90, the system of hypothesis would be:    

Null hypothesis:\mu \geq 90    

Alternative hypothesis:\mu < 90    

If we analyze the size for the sample is < 30 and 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:    

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{88.96-90}{\frac{0.8}{\sqrt{5}}}=-2.907      

Part a

P-value  

First we need to calculate the degrees of freedom given by:

df=n-1=5-1 = 4

Then since is a left tailed test the p value would be:    

p_v =P(Z    

Part b

Since p_v we can reject the null hypothesis at the significance level given. So based on this we can commit type of Error I.

Because Type I error " is the rejection of a true null hypothesis".

Part c

We want this probability:

P(\bar X

The best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\bar X >90)=1-P(Z

1-P(Z

Part d

For this case we need a z score that accumulates 0.02 of the area on the right tail and 0.98 on the left tail and this value is z=2.054

And we can use this formula:

2.054=\frac{90-89}{\frac{0.8}{\sqrt{n}}}

And if we solve for n we got:

n = (\frac{2.054 *0.8}{1})^2=2.7 \approx 3

7 0
3 years ago
24 divided by 2 - 6 + 8 divided by 2<br><br> Enter Your Answer
12345 [234]
Calculator?? Lol hang on
7 0
3 years ago
Read 2 more answers
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