The mean midday temperature recorded in June in a city in South California is 36ºC, and the standard deviation is 3ºC. The number of days in the month of June is 30.
Assuming the data is normally distributed, the number of days in June when the midday temperature was between 39ºC and 42ºC is .

Answers

Answer 1

Answer:

About 4 days

Step-by-step explanation:

Convert 39 and 42 degrees C to a z score and then use the z-table

The Mean Midday Temperature Recorded In June In A City In South California Is 36C, And The Standard Deviation
Answer 2

The number of days in June when the midday temperature was between 39°C and 42°C is equal to 4.0 days.

Given the following data:

Mean midday temperature = 36°C.

Standard deviation = 3°C.

How to determine the number of days in June?

In order to determine the number of days in June when the midday temperature was between 39°C and 42°C, we would determine the z-score as follows:

Let the midday temperature be M.

P(39 < M < 42) = 1 - [P(M < 39) + P(M < 42)]

Evaluating, we have:

P(M < 39) = P(Z < [39 -36/3])

P(M < 39) = P(Z < [3/3])

P(M < 39) = P(Z < 1).

P(M < 39) = 0.84134.

P(M < 42) = P(Z < [42 -36/3])

P(M < 42) = P(Z < [6/3])

P(M < 42) = P(Z < 2)

P(M < 42) = 0.02275.

Substituting the parameters into the formula, we have;

P(39 < M < 42) = 1 - [P(M < 39) + P(M < 42)]

P(39 < M < 42) = 1 - [0.84134 + 0.02275]

P(39 < M < 42) = 1 - 0.86409

P(39 < M < 42) = 0.13591‬.

Now, we can determine the number of days in June when the midday temperature was between 39°C and 42°C:

No. of days = 0.13591 × 30

No. of days = 4.0 days.

Note: There are 30 days in the month of June.

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Related Questions

Find the common difference of the arithmetic sequence -2, -4, -6, ...

Answers

Answer:

-8

in this the arthmatic difference is table of 2

Answer:

the common d/f is that -2>-4>-6

PLEASE HELP I GOT IT WRONG EARLIER AND THE WRONG ANSWER WAS H PLS HELP!!​

Answers

Answer:

H. 39.6

Step-by-step explanation:

i promise this is the right answer!

there is a mean, mode, range etc. calculator that can help you!

Which ordered pair is on the x axis?

Answers

Answer:

0,0

Step-by-step explanation:

Y=-3x+5. Fill in the table using this function rule

Answers

X   Y

1    8

2   11

3   14

4   17

5   20

6   23

7   26

8   29

9   32

10  35

11   38

12  41

13  44

14  47

15  50

16  53

17  56

18  59

19  62

20  65

A manufacturer of MP3 players surveyed one hundred retail stores in each of the firm's sales regions. An analyst noticed that in the South Atlantic region the average retial price was $165 (mean) and the standard deviation was $30. However, in the Mid-Atlantic region the mean price was $170, with a standard deviation of $15. What do these statistics tell us about these two sales regions

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

South Atlantic region :

Mean price = $165

Standard deviation = $30

Mid-Atlantic region :

Mean price = $170

Standard deviation = $15

Based on the mean price computed for the 100 retail stores in the study, we can conclude that the price of MP3 in the south Atlantic region is lesser than that of the mid Atlantic region ;

$165 < $170

However, we can conclude that the variation in the prices of MP3 varies greatly from one store to another in the south Atlantic region with a standard deviation of $30 while in the Mid Atlantic region, the prices are closer and less variable from one store to the other.

lang atino
Determine whether a triangle can be formed with the
5. 10 ft, 3 ft, 15 ft

Answers

no it can it’s a triangle

Approximate 218.16 to the nearest tens.

Answers

218.16 to the nearest tenth would be 218

can you guys please help me this has to be turned in by 1 !!

Answers

Answer:

For 5. The answer is 55% of 60 is less than 60% of 65 because 55% of 60 is 33. And 60% of 65 is 39

For 6. 20% of 80 is equal to 80% of 20 because 20% of 80 is 16. And 80% of 20 is also 16

A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.
.
Complete the sentence about the height of the prism.

The height of the prism is _____ inches,square inches,cubic inches

Answers

Answer:

I believe the answer would be 1575 cubic inches. Sorry if i'm wrong!

Answer:

The answer is 7 square in

Step-by-step explanation:

Do this formula

V=Bh

105=15h

h=7 square in

After painting 3/8 of a fence he finds that he has painted 15 feet

Answers

Answer: I'm assuming you want to know how much surface area his fence is, so 40

Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.

Hope this helps :)

Answer:

ok whats the question tho is it the total length of the fence if it is its 40 pretty sure

Step-by-step explanation:

3/8 of the fence lets say x, equals 15 feet

divide 15 by 3/8 to find x which is 40

What is the difference of 95,216 and 35,535? a59,681 b60,321 c60,781 D130,751​

Answers

Answer:

the answer is A) 59, 681

Step-by-step explanation:

all you have to do is subtract

so 95,216 - 35,535= 59,681

hope i helped

-lvr

The average temperature for four days was 22°. What must the temperature be on the fifth day in order to make 23° the temperature for the five days?​

Answers

Answer:

27°C

Step-by-step explanation:

Average temperature on 4 days

[tex] = \frac{total \: temperatures \: for \: 4 \: days}{4} [/tex]

Total temperatures for 4 days

= 4(22)

= 88

If the average temperature throughout 5 days is 23°,

total temperature for 5 days

= 5(23)

= 115

Temperature on the 5th day

= total temperatures for 5 days -total temperature for 4 days

= 115 -88

= 27°C

There are 196 people in
the Snow Bunnies Ski"
Club. They are taking
buses to Colorado
Each bus holds 60 peo-
ple. How many buses
are needed?​

Answers

Answer:

they need 4 buses

60+60+60=180 that does not get you to 196 so you would add 1 more bus

which equals 4 buses

Input the values into the formula below
to find the 8th term in the sequence.
1
-1, 4, -16,...
4)
Ist term • common ratioſdesired term - 1)
[?] •[ ][ - 1)

Answers

Answer:

The 8th term = -4,096

Step-by-step explanation:

Given:

¼, -1, 4, -16, . . .

Required:

8th term of the sequence

Solution:

1st term = ¼

Common ratio = -1/¼ = 4/-1 = -16/4 = -4

Desired term = 8

Plug in the values into the formula given:

[tex] \frac{1}{4} * -4^{(8 - 1)} [/tex]

[tex] \frac{1}{4} * -4^{7} [/tex]

[tex] \frac{1}{4} * -16,384 [/tex]

[tex] \frac{-16,384}{4} [/tex]

= -4,096

Mark, Anthony, and Derek, are going on a road trip and will take turns driving the car. They need to decide who will drive first.
Which method assures that each of the three friends has a fair chance of being selected to drive first?
O A. "Using a random number generator, generate an integer. If the number is negative, Mark drives first. If the number is positive,
Anthony drives first. If the number is 0, Derek drives first.
OB.
Flip two fair coins. If both coins land on tails, Mark drives first. If both coins land on heads, Anthony drives first. If one coin
lands on tails and the other lands on heads, Derek drives first.
O C. Spin a spinner with four equal-sized sections labeled A, B, C, and D. If the spinner lands on A, Mark drives first. If the spinner
lands on B, Anthony drives first. If the spinner lands on C, Derek drives first. If the spinner lands on D, Mark drives first.
OD. Roll an ordinary die. If the die lands on 1 or 4, Mark drives first. If the die lands on 2 or 5, Anthony drives first. If the die lands
on 3 or 6, Derek drives first.

Answers

Answer: Option D

Step-by-step explanation:

I got it right on Edmentum/Plato

Find the lateral and surface area for the pyramid with a regular base. Where necessary, round to the nearest tenth.

Answers

Answer:

Lateral area -288. Surface area-96

Step-by-step explanation: teacher told me

I WILL GIVE BRAINIEST IF ANSWERED WITH CLEAR EXPLANATION AND ANSWERS.
Find the area of each figure. Round your answer to 2 decimal places if required. (Use = 3.14 if needed)

Answers

Answer:

285 ft²

Step-by-step explanation:

Hello There!

The figure shown is a composite figure so in order to find the total area we are going to need to split the irregular figure into two regular figures:

A parallelogram with the following dimensions

base = 15

height = 7

and a trapezoid with the following dimensions

base 1 = 11

base 2 = 13 (found by subtracting the height of the parallelogram ( 7 ) from the total height of the composite figure ( 20 ) 20 - 7 = 13 so the length of base 2 is 13 ft)

height = 15

Now that we have identified each dimensions of the two regular figures we need to find the area of each individual figure

For the parallelogram

The area of a parallelogram can simply be found by multiplying the height and the base

So A = 15 * 7

15 * 7 = 105 so the area of the parallelogram is 105 square feet

For the Trapezoid

The area of a trapezoid can be found by using this formula

[tex]A=\frac{a+b}{2} h[/tex] where a and b = bases and h = height

So using the information that we had found about the trapezoids dimensions we plug in the values

[tex]A=\frac{11+13}{2} 15\\11+13=24\\\frac{24}{2} =12\\12*15=180[/tex]

So the area of the trapezoid is 180 square feet

Finally we add the areas of the two regular figures

180 + 105 = 285

so we can conclude that the area of the composite figure is 285 ft²

What is 3^2/3 equal to

Answers

Answer:

3

Step-by-step explanation:

3^2=3×3=9

9/3=3

hope this helps

Answer:

The correct answer is 3.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!!

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.14 gallons. A previous study found that for an average family the variance is 1.69 gallons and the mean is 15.9 gallons per day. If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.

Answers

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that [tex]\sigma = \sqrt{1.69} = 1.3[/tex]

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.14 = 1.44\frac{1.3}{\sqrt{n}}[/tex]

[tex]0.14\sqrt{n} = 1.44*1.3[/tex]

[tex]\sqrt{n} = \frac{1.44*1.3}{0.14}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2[/tex]

[tex]n = 178.8[/tex]

Rounding up

A sample of 179 is needed.

The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each

Answers

12o + 7a = 5.36
8o + 5a = 3.68
a ≈ 0.32
o ≈ 0.26

The roots of the equation 2x^2 + 4= 9x are imaginary?

Answers

The final statement is: The quadratic equations has real roots.

What are quadratic equations?

A quadratic equation can be written in the standard form as ax2 + bx + c = 0, where a, b, c are constants and x is the variable. The values of x that satisfy the equation are called solutions of the equation, and a quadratic equation has at most two solutions.

Given here: 2x²+4-9x=0

                    2x²-9x+4=0

                     2x²-8x-x+4=0

                     2x(x-4)-1(x-4)=0

                     (2x-1) (x-4) =0

  Therefore the roots of the equation are 1/2 and 4 which are not imaginary.

Hence, The quadratic equations has real roots.

Learn more about quadratic equations here:

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What is 12% of 50?
ОА.
6
ОВ.
7
Ос.
10
OD.
12

Answers

Answer:

a 6

Step-by-step explanation:

can i have brainlest

Given the trapezoid below, Peter and

Christine each wrote different expressions to

find its perimeter.

w+2

4

4

6

Peter's expression: 6 + 4+ (w + 2) + 4

Christine's expression:

W + 16

Who is correct? Explain.

O Only Christine is correct.

O Only Peter is correct.

Both Christine and Peter are correct.

O Neither Christine or Peter is correct.

Vi

Answers

Answer:

Both.

Step-by-step explanation:

The perimeter of a trapezuun is given by : a + b + c + d ; where a, b, c, d are the lengtb of the sides of the trapezium.

The perimeter of the trapezium Given below is :

(4 + 6 + 4 + w + 2)

Evaluating both expressions :

Peter = 6 + 4 + (w + 2) + 4

Christine's expression = w + 16

From the expression, we can see that Peter's expression is correct s he wrote the sum of all the four sides

As for Christine's expression, it is also right ; as she added all the sides to obtain a reduced term

Hence, both are correct

Answer:

both of them are correct

Step-by-step explanation:

can someone help me? please!!!

Answers

Answer:

Down below

Step-by-step explanation:

i'm gonna break it down into two parts.

Half-circle

[tex]A=\frac{1}{2}(\pi r^2) \\16/2=8=r\\A=\frac{1}{2}(3.14*8^2)\\A= \frac{1}{2}( 200.96)\\A=100.48[/tex]

Square

[tex]A=bh\\A=16*16\\A=256[/tex]

now to get it all we add them

[tex]A=100.48+256\\A=365.48[/tex]

Find ECD
E
-D
C
31°
A
B

Answers


Link Provided in other answer is a SCAM !!! Do NOT CLICK ON IT !!!

The "middle" term of the trinomial form of (3x + 5)(4x – 3)

is:

29x

- 3x

O 11x

0 2x

I want the answer the steps

Answers

Answer:

The "middle" term is 11x.

Step-by-step explanation:

(3x + 5)(4x - 3)

Solve this by using FOIL: first – outer – inner – last

F: 3x • 4x = 12x²

O: 3x • -3 = -9x

I: 5 • 4x = 20x

L: 5 • -3 = -15

Combine the terms.

12x² - 9x + 20x - 15

Combine like terms.

12x² + 11x - 15

The "middle" term is 11x.

Hope this helps!

The owner of a pizza restaurant in France knows that the time customers spend in the restaurant on Saturday evening has mean 90 minutes and standard deviation 15 minutes. He has read that pleasant odors can influence customers, so he spreads a lavender odor throughout the restaurant. Presented are the times, in minutes, for customers on the next Saturday evening.

Answers

Answer:

hello your question is incomplete attached below is the missing part

Question : What is the value of the test statistic

answer : = 5.73

Step-by-step explanation:

Mean value = 90 minutes

std = 15 minutes

Calculate the test statistic

mean value  of given data = ∑ x / n = 105.7

since the value of standard deviation is given we will assume a normal distribution

Hence we will apply  z test statistics

z = mean value of given data - Mean value / 15 √30

   = ( 105.7 - 90 )  / 15 √30

  = 5.73

In a nationally representative sample of 1,668 adult Americans, 930 indicated that they had checked their credit score within the last 12 months. Suppose of the 930 people that had checked their credit report within the last 12 months, 37% had done so as part of their regular financial planning. Does this provide convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning

Answers

Solution :

The one sample proportion summary hypothesis test is :

p : proportion of successes

[tex]$H_0: p = 0.33 $[/tex]

[tex]$H_a : p > 0.33$[/tex]

The hypothesis test result by using the statistical software is :

Total = 930

Sample proportion = 0.37

Standard error = 0.0157

Z-stat = 1.697

P- value = 0.0448

Therefore, the hypothesis   [tex]$H_0:p = \frac{1}{3} \text{ versus}\ H_a: p > \frac{1}{3}$[/tex]   is correct.

  And conclusion : Fail to reject [tex]$H_0$[/tex]. As we do not have any convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning.

A rectangular plaza measures 3/8 mile by 4/5 mile. What is its area?​

Answers

Answer:

3/10

Step-by-step explanation:

then after reducing you get 3/10

                 

The area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.

What is the area of the rectangle?

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We have a rectangular plaza that measures 3/8 mile by 4/5 mile.

Here the length L = 3/8

And width W = 4/5

Area of rectangular plaza = L×W = (3/8)×(4/5)

= 12/40 square miles or

= 0.3 square miles

Thus, the area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.

Learn more about the rectangle here:

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Question 6
Simplify the following expression.
-3 + 4a - 3b + 2) - 5(2-a + 3b)​

Answers

This expression simplified would be 9a-18b-11
9a-18b-11....................
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