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 .

Answer: Option D

Step-by-step explanation:

I got it right on Edmentum/Plato

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]

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

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

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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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.

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

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.

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.

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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

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

Answer:

0,0

Step-by-step explanation:

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

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

Answer:

Lateral area -288. Surface area-96

Step-by-step explanation: teacher told me

Answer:

-8

in this the arthmatic difference is table of 2

Answer:

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

Answer:

a 6

Step-by-step explanation:

can i have brainlest

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

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.

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

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.

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!

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!!!!

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:

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

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

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!