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saw5 [17]
3 years ago
11

HELP NEEDED PLEASE!! WILL GIVE BRAINIEST

Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0

Answer:

12 20 22

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 110 engines
slava [35]

Answer:

we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi

Step-by-step explanation:

Let's first define the hypothesis;

Null hypothesis: H0: μ = 4.7

Alternative hypothesis: Ha: μ ≠ 4.7

We have;

Sample size; n = 110

Sample mean; x¯ = 4.6

Variance: σ² = 0.64

Standard deviation; σ = √0.64 = 0.8

Formula for test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (4.6 - 4.7)/(0.8/√110)

z = -0.1/0.0763

z = -1.31

From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;

P-value = 0.190196

The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7

σ μ

8 0
3 years ago
What percentage of tickets sold were to seniors?
Kay [80]

<u>Given</u>:

The number of tickets sold to children =35+87+62=184.

The number of tickets sold to adults =56+177+205=438.

The number of tickets sold to seniors =32+14+54=100.

To determine the percentage of tickets sold to seniors we need to determine the total number of tickets sold to each category.

<u>To determine the percentage of tickets sold to seniors:</u>

In order to determine the percentage of tickets sold to the seniors, we divide the tickets sold to seniors by the total number of tickets sold to children, adults, and seniors.

This value is multiplied with 100 to convert it into a percentage.

The number of tickets sold to seniors =100.

The total number of tickets sold to children, adults, and seniors = 184+438+100=722.

The percentage of tickets sold to seniors = \frac{100}{722} (100) = 0.1385(100)=13.85\%.

Rounding this off, we get the value as 13.9%

Hence, option 1 is the correct answer.

8 0
4 years ago
A student draws a triangle with a perimeter of 36cm. The student says the longest length is 18cm. How do you know the student is
Crazy boy [7]

The length of the first two sides of a triangle must be greater than the length of the last side.  If the longest length were 18, the first two sides would be too short.  36-18=18, 18 is equal not greater than 18 which means the sum of the first two sides are too short.

6 0
3 years ago
A random sample of 20 purchases showed the sample mean of $48.77 and the sample standard deviation s is $17.58. How large is the
laila [671]

Answer:

<h2>$5.03</h2>

Step-by-step explanation:

Given data          

Sample Mean (M):  $48.77  

Sample Size (n): 20

Standard Deviation (σ) :  $17.58

Confidence Level: 80%

 we know that z*-Values for 80% Confidence  Levels is 1.28

the expression for margin of error is given bellow\

MOE= z*σ/√n

We can now substitute into the expression and solve for the MOE as

MOE= 1.28*17.58/√20

MOE= 22.502/4.47

MOE= 22.502/4.47

MOE= 5.03

The margin of error for a 80 % confidence interval is $5.03

3 0
4 years ago
What are the next three numbers in this pattern? 1, 4, 9, 16, __, __, __
SpyIntel [72]

Answer:

1,4,9,16,25,36,49

Step-by-step explanation:

The sequence is basically square numbers

3 0
3 years ago
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