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stira [4]
3 years ago
5

Or the past 100 years, the average high temperature on october 1 is 78° with a standard deviation of 5°. what is the probability

that the high temperature on october 1 of next year will be between 73° and 83°?
Mathematics
1 answer:
valina [46]3 years ago
3 0

Answer:

The probability is 0.683

Step-by-step explanation:

To calculate this, we shall be needing to calculate the z-scores of both temperatures

mathematically;

z-score = (x-mean)/SD

From the question mean = 78 and SD = 5

For 73

z-score = (73-78)/5 = -5/5 = -1

For 83

z-score = (83-78)/5 = 5/5 = 1

So the probability we want to calculate is within the following range of z-scores;

P(-1 <z <1 )

Mathematically, this is same as ;

P(z<1) - P(z<-1)

Using the normal distribution table;

P(-1<z<1) = 0.68269 which is approximately 0.683

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Solve the equation x2 + 7x = 30.​
Law Incorporation [45]

Answer:

2*7=14+6=30 points plz

5 0
3 years ago
Now try 50 for x. If x=50,what I'd y when y=x-20? Does that work with the other equation?
SSSSS [86.1K]
X= 50
Replace the x with the given number.
Y= 50-20
Y= 30
5 0
3 years ago
Find the sum of the first 7 terms of the following series, to the nearest integer. 150,60,24...
Sonja [21]

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The sum of the first seven terms of the series is 249.

<h3>What is geometrical series?</h3>

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

The given series is an geometric series, the details of the series are:

a₁ = 150

r = 60/150 = 0.4

n = 7

The sum of the geometric series is,

S = 150(1-0.4⁶)/(1-0.4)

S = 248.976 ≈ 249

Hence, the sum of the first seven terms of the series is 249.

Learn more about Geometrical Series:

brainly.com/question/4617980

#SPJ1

4 0
2 years ago
Read 2 more answers
Please Help !!!
Rina8888 [55]

Answer:

40

Step-by-step explanation:

Sums:

1, 3

2, 2

4, 0

31 and 22 are to small of numbers.  That leaves 40.

40 and 04

so 40

  - 04

____

=  36

Good luck,

Camryn :)

7 0
3 years ago
Bart believes that mice exposed to microwaves will become extra strong (maybe he's been reading too much Radioactive Man). He de
OverLord2011 [107]

Complete question is;

Bart believes that mice exposed to microwaves will become extra strong (maybe he's been reading too much Radioactive Man). He decides to perform this experiment by placing 10 mice in a microwave for 10 seconds. He compared these 10 mice to another 10 mice that had not been exposed. His test consisted of a heavy block of wood that blocked the mouse food. He found that 8 out of 10 of the microwaved mice were able to push the block out of the way. 7 out of 10 of the non-microwaved mice were able to do the same.

Identify the following;

1) Control group

2) Independent variable

3) Dependent variable

4) What should bart's conclusion be?

5) How could Bart's experiment be improved?

Answer:

1) Mice not exposed to the microwave.

2) Amount of microwave radiation hitting the mice.

3) The strength of the mice exposed to the radiation.

4) Conclusion should be inconclusive.

5) Can be improved in 3 ways listed under explanation.

Step-by-step explanation:

1) The control group is the mice that were not exposed to the microwave heating. This is because a control group is a set of samples that are kept separate and not exposed to the independent variable.

2) The independent variable is the cause of the research. So in this case the independent variable is the amount of microwave radiation because the study is on how mice exposed to microwaves become extra strong.

3) Dependent variable: The dependent variable will be the strength of the mice that are exposed to the microwave radiation because the extra amount of strength depends on the radiation.

4) Bart's conclusion should be Inconclusive because even though there is difference in the results gotten from the exposure, they are not that significantly different and thus we can say that there is an equal chance of an effect or no effect.

5) Bart's experiment can be improved by the following;

- Using a larger sample size

- Increasing the amount of groups so as to have a varied amount of microwave radiation received by the exposed mice

- Increasing the mass of the block that's in front of the food.

4 0
3 years ago
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