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djverab [1.8K]
3 years ago
7

The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a popula

tion mean of 30 seconds and a population standard deviation of 3 seconds.
You wish to see if the mean time μ (where μ stands for population mean) is changed by vigorous exercise, so you have a group of nine college students exercise vigorously for 30 minutes and then complete the maze. It takes them an sample average of 31.2 seconds to complete the maze. Use this information to test the hypotheses:
H0: μ = 30,
Ha: ≠30
at the significance level of 0.01.
You conclude:

a) There is not enough evidence to support the claim.
b) There is enough evidence to support the claim.
Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0
Are you gay just asking huh
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BRAINLIEST AWARD NO.2
zzz [600]

Answer:

A whole number first term to render as fifth term a value larger than 10000, should be at least 121

Step-by-step explanation:

The formula is given as recursive since it involves the previous number of the sequence, and defined as:

a_n=a_{n-1}*3+6

we also know that the first term is 4

Then in this case, the first five terms are:

a_1=4\\a_2=4*3+6=18\\a_3=18*3+6=60\\a_4=60*3+6=186\\a_5=186*3+6=564\\

So if we want to find the first term in the case that the fifth one is greater than 10,000 using this recursive formula, now we have to start backwards, and say that the fifth term is "> 10000" and what the fourth one is.

Notice that if you have this definition for the nth term, we can obtain from it, what the previous term is to find the general rule:

a_n=a_{n-1}*3+6\\a_n-6=a_{n-1}*3\\\frac{a_n-6}{3} = a_{n-1}\\a_{n-1}=\frac{a_n}{3} -2

So the rule is to subtract 6 from he term, and divide the subtraction by 3. Then working backwards:

a_5>10000\\\frac{a_5}{3} -2>\frac{10000}{3} -2\\a_4>=\frac{10000}{3} -2\\\frac{a_4}{3} -2>\frac{\frac{10000}{3}-2}{3}-2 =\frac{10000}{9}-\frac{8}{3} \\a_3>\frac{10000}{9}-\frac{8}{3} \\\frac{a_3}{3} -2>\frac{\frac{10000}{9}-\frac{8}{3} }{3} -2=\frac{10000}{27} -\frac{8}{9} -2=\frac{10000}{27} -\frac{26}{9}\\a_2=\frac{10000}{27} -\frac{26}{9}\\\frac{a_2}{3} -2>\frac{\frac{10000}{27} -\frac{26}{9}}{3} -2=\frac{10000}{81} -\frac{80}{27} \\a_1>\frac{10000}{81} -\frac{80}{27}\approx 120.49

therefore, the starting first term should be at least about 121 to give a fifth term larger than 10,000

8 0
2 years ago
What are the possible rational zeros of f(x)=x^4+2x^3-3x^2-4x+20?
Mice21 [21]
Roots test tells us to take the factors of the 20 divided by the factors of the coefficient of the the first.  

factors of 20 are 1,2,4,5,10,20
factors of 1 are 1

so plus or minus 1/1, 2/1, 4/1, 5/1, 10/1, 20/1 are all possible rational zeros
8 0
3 years ago
Will give brainliest
dmitriy555 [2]

Answer:

<h2><em><u>18</u></em></h2>

Step-by-step explanation:

<em><u>Given</u></em><em><u>, </u></em>

Radius of the cylinder = 3cm

Height of the cylinder = 3cm

<em><u>Therefore</u></em><em><u>, </u></em>

Lateral surface area of the cylinder

= 2\pi rh

= 2\pi \times 3 \times 3 {cm}^{2}

= 2\pi \times 9 {cm}^{2}

= 18\pi {cm}^{2}

<em><u>Hence</u></em><em><u>,</u></em>

<em><u>The</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>value</u></em><em><u> </u></em><em><u>in</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>green</u></em><em><u> </u></em><em><u>box</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>be</u></em><em><u> </u></em><em><u>18</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

4 0
3 years ago
Read 2 more answers
maria brought a blouse on sale for 20% off. the sale price was $21.76. what was the original price? round to the nearest hundred
Degger [83]

Answer: $27.20

Step-by-step explanation:

She bought a blouse for 20% off so it means that she paid 80% of the original price.We can then set up the equation  

80% of x = 21.76   where x is the original price so solve for x

0.8x = 21.76  

x = 27.20

Which  means the original price is $27.20

4 0
3 years ago
Iiiiiiiiytffhjhffjdjhdhdhdhdhhdhdd
SVEN [57.7K]

Answer:

x = 30

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°, hence

x + x + 10 + 3x + 20 = 180

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

8 0
3 years ago
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