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crimeas [40]
3 years ago
11

A random sample of 100 pumpkins is obtained and the mean circumference is found to be 40.5 cm. Assuming that the population stan

dard deviation is known to be 1.6 cm, use a 0.05 significance level to test the claim that the mean circumference of all pumpkins is equal to 39.9 cm.Do the following:_________.a) Write the hypotheses H0 and H1b) Calculate the z-scorec) Find corresponding probability to z-scoree) Write the decision and conclusion of the test of hypothesis.
Mathematics
1 answer:
fgiga [73]3 years ago
5 0

Answer:

it should be 40.5 i believe

Step-by-step explanation:

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A town has a fireworks display, where fireworks are set off from a bridge over a lake. The function h (t) = -16t2 + 150t + 10.5
Elodia [21]

Answer:

h(t) = 4.68 seconds

Step-by-step explanation:

The function that represents the height of each firework in feet is :

h (t) = -16t^2 + 150t + 10.5 .....(1)

We need to find the time the fireworks take to reach their maximum height. For maximum height,

dh/dt = 0

So,

\dfrac{d}{dt}(-16t^2 + 150t + 10.5 )=0\\\\-32t+150=0\\\\t=\dfrac{150}{32}\\\\t=4.68\ s

Put t = 4.68 in equation (1).

h (t) = -16(4.68)^2 + 150(4.68)+ 10.5\\\\h(t)=362.06\ text{feet}

So, the fireworks will take 4.68 seconds to their maximum height.    

7 0
3 years ago
What is the factored form of x2 – x – 2?
s344n2d4d5 [400]

Answer:

(x-2)(x+1)

Step-by-step explanation:

x²-x-2 can be factored into:

(x-2)(x+1)

Support me by selecting my answer as brainiest.

3 0
4 years ago
Use the Empirical Rule to determine the percentage of candies with weights between 0.7 and 0.98 gram. ​Hint: x=0.84
Lubov Fominskaja [6]

Using the Empirical Rule, it is found that 95% of the candies have weights between 0.7 and 0.98 gram.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Researching this problem on the internet, we have that:

  • The mean is of 0.84.
  • The standard deviation is of 0.07.

Then 95% of the candies have weights between 0.7 and 0.98 gram, as:

  • 0.7 = 0.84 - 2 x 0.07.
  • 0.98 = 0.84 + 2 x 0.07.

More can be learned about the Empirical Rule at brainly.com/question/24537145

#SPJ1

7 0
2 years ago
What is the value of 9+21 (13+5)?<br> A.287<br> B.395<br> C.387<br> D.540
Vika [28.1K]
Follow the order of operations
1. parentheses (13+5) = 18
2. multiplication 21*(13+5) = 21*18 = 378
3. add 9 + 21*(13+5) = 9 + 378 = 387

Hope this helps!
6 0
3 years ago
Read 2 more answers
Need this ASAP! Taking a math quiz and my brain just went numb so I cant think
NikAS [45]

Answer:

\frac{ - 12 + x}{11}  =  - 3 \\  \\  - 12 + x =  - 3\times  11 \\  \\  - 12 + x =  - 33 \\  \\ x =  - 33 + 12 \\  \\ x =  - 21

3 0
2 years ago
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