The mean June midday temperature in Desertville is 36C and the standard deviation is 3C.Assuming this data is normally distributed, how many days in June would you expect the middaytemperature to be between 39C and 42C

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Given that:

Mean temperature (m) = 36°C

Standard deviation (s) = 3°C

Temperature between 39°C and 42°C

Temperature < 39°

Probability of temperature < 39

P(x < 39)

The standardized score (Z) :

Z = (x - m) / s

Z = (39 - 36) / 3 = 1

p(Z < 1) = 0.84134 ( Z probability calculator)

Temperature < 42°

Probability of temperature < 42°

P(x < 42)

The standardized score (Z) :

Z = (x - m) / s

Z = (42 - 36) / 3 = 2

p(Z < 2) = 0.97725 ( Z probability calculator)

p(Z < 2) - p(Z < 1) = 0.97725 - 0.84134 = 0.13591

Hence, number of days in June = 30

Expected number of days = 30 * 0.13591 = 4.0773 = 4 (nearest whole number)


Related Questions

What is the average rate of change?

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Answer:

5

Step-by-step explanation:

Find the value of n.

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Answer:

127

Step-by-step explanation:

Please answer this correctly without making mistakes

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Answer: The purple coupon is the best deal.

Explanation: If an apple pie is $12, with the orange coupon, you will only pay $7. On the other hand, with the purple coupon, you will only pay $6.60. So the purple coupon is the best deal.

Write the standard form of the equation of the circle with center (−7,1) that passes through the point (−7,9).

Answers

Answer:

(x + 7)² + (y - 1)² = 64

Step-by-step explanation:

Use the equation of a circle, (x - h)² + (y - k)² = r²

Plug in the point and center, then solve for r:

(x - h)² + (y - k)² = r²

(-7 + 7)² + (9 - 1)² = r²

0 + 64 = r²

64 = r²

8 = r

Then, plug in the center and r² into the equation:

(x + 7)² + (y - 1)² = 64

So, (x + 7)² + (y - 1)² = 64 is the standard form of the circle's equation

Vicky jogged 4 1/2 miles in 7/8 hour. What was her average rate of speed in miles per hour?

Answers

Answer:

Step-by-step explanation:

Vicky  jogged 4 1/2 miles or 9/2 miles  or 4.5 miles

7/8 of 60 min=(7*60)/8=(7*15)/2= 52.50 min

4.5 miles....................52.50 min

? miles.......................60 min

vicky will have a rate of 5.14 miles/hour

please answer this !!

Answers

Answer:

I think these triangles cannot be proven congruent

2. A rocket is launched from rest, at ground level. The graph of the rocket's velocity with respect to
time looks as follows: y= 0.15x2
How fast is the rocket traveling after 15 seconds?
Insert the graph picture here:
Graph please

Answers

Answer:

y = 33.75 m/s.

Step-by-step explanation:

The graph of the rocket's velocity with respect to  time looks as follows :

[tex]y=0.15x^2[/tex] ...(1)

Where x is time in seconds

We need to find the velocity of rocket after 15 seconds. Put x = 15 in equation (1).

[tex]y=0.15\times (15)^2\\\\=33.75\ m/s[/tex]

Hence, the speed of the rocket after 15 seconds is 33.75 m/s.

Someone help please !!!

Answers

Answer:

The answer is M = (C-5)/4

A 12 foot board rests against the wall. The angle that the board makes with the ground is 60 degrees. How far is the base of the board from the wall?

Answers

Answer:

6 foot

Step-by-step explanation:

Since the board is 12foot and the angle makes 60 degrees to the wall, we can assume that it is the 30,60,90 degreees. 30,60,90 degrees triangle makes the side of x, 2x ,and xroot3.

Hence, the board(12foot) is equal to 2x.

x=6

6 foot i believe sorry if i am the opposite of correct

What is 478.9 divided by 2? D:

Answers

Answer: 239.45

Your welcome if this was for an assignment.

478.9 divided by 2 = 239.45

Reduced form of 2ab^2-a^2 b^2/5

Answers

Answer:

[tex]2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}[/tex]

Step-by-step explanation:

Given the expression

[tex]2ab^2-\frac{a^2b^2}{5}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:2ab^2=\frac{2ab^25}{5}[/tex]

[tex]2ab^2-\frac{a^2b^2}{5}=\frac{2ab^2\cdot \:5}{5}-\frac{a^2b^2}{5}[/tex]

[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]

                 [tex]=\frac{2ab^2\cdot \:5-a^2b^2}{5}[/tex]

                 [tex]=\frac{10ab^2-a^2b^2}{5}[/tex]

Thus,

[tex]2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}[/tex]

Leo is adding gravel to the edge of the driveway. He orders 6 bags of gravel for $252. How much would it cost if leo orders 8 bags of gravel?

Answers

Answer:

no

Step-by-step explanation:

What are the coordinates of point A?

Answers

(-4,-3) need 20 characters

Find the equation of a line parallel to y = 12 that contains the point (3, 2).

Answers

Answer:

y = 2

Step-by-step explanation:

Let's first write the equation of y = 12 in slope-intercept form. Slope-intercept form is represented as:

y = mx + b

Where...

m: slope

b: y-intercept (the y-value at where the line intercepts the y-axis)

(x, y): any coordinate on the line

This line has a slope of 0 and a y-intercept of 12, therefore its equation is:

y = 0x + 12.

Parallel lines have the same slope. Therefore the equation of the parallel line can be represented as:

y = 0x + b

We need to find b, or the y-intercept.

Let's substitute the point given to us into the equation.

Solve for the y-intercept

y = 0x + b

2 = 0(3) + b

2 = 0 + b

b = 2

Therefore the equation of a line parallel to y = 12 that contains the point (3, 2) is y = 2.

Find the area.
6 cm
3 cm
3 cm
square centimeters

Answers

Answer:

27 cm²

Step-by-step explanation:

its in the picture idk how to explain

Answer:

A = 13.5 cm²

Step-by-step explanation:

use the area of trapezoid:

A = h/2 (b₁ + b₂)

where h = 3 cm

         b₁ = 6 cm

         b2 = 3 cm

plugin values into the formula:

A = 3/2 (6 + 3)

A = 13.5 cm²

Write a quadratic equation having the given numbers as solutions.
-5 and - 3

Answers

Answer:

x² + 8x + 15

General Formulas and Concepts:

Algebra I

Quadratic Roots - Linear BinomialsExpand by FOIL-ing (First, Outside, Inside, Last)Standard Form: ax² + bx + c = 0

Step-by-step explanation:

Step 1: Define

x = -5, -3

Step 2: Write equation

Rewrite solutions:                    (x + 5)(x + 3)Expand [FOIL]:                          x² + 3x + 5x + 15Combine like terms:                 x² + 8x + 15

pls help no idea how to do this

Answers

distribute the X and the 3 and then collect like terms until you get the answer:
x^2 - 2x -15
x(x-5)+3(x-5)
x^2-5x+3x-15
x^2-2x-15 is the answer

hope this helped :)

Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $25 worth of gasoline. Her friend melody pay for one-half the cost of the car rental only.Choose an expression you could use to determine how much Sophie spent.

Answers

Answer:

25-1/2=

Step-by-step explanation:

Fill in the blank to complete the equation that describes the diagram.

Answers

-4+-2=-6

THATS THE ANSWER

Answer:-4 + -6 = -10

Step-by-step explanation:

Need help will mark Brainliest no explanation needed

Answers

I can’t see the whole problem but The triangle is SAS and it it is translated

Expand and combine like terms.
(4 + 7a²)2 =

Answers

Answer:

Step-by-step explanation:

2(4+7a^2)

=8+14a^2

=7a^2+4

OR if that 2 is an exponent

(4+7a^2)^2

=(4+7a^2)(4+7a^2)

=16+49a^4+28a^2+28a^2

=49a^4+56a^2+16

Judy bought 12 roses for
$36. Jackie bought 20 roses
for $80. Which is the better
buy?

Answers

Answer:

judy had the better buy

Step-by-step explanation:

Answer:

I would buy the ones Judy has

Step-by-step explanation:

If a spider can move 1/2 of a mile every hour, then how many hours would it take for a
spider to go 4 miles?

Answers

Answer:

2

Step-by-step explanation:

   1/2x4=2

why is school so hard:/

Answers

Answer:

I KNOW RIGHT!!

Step-by-step explanation:

Answer:

in entering school in first you are excited but in every day entering school you feel boring this is why school is hard

Step-by-step explanation:

pick me as the brainliest

can you please solve 4+3x>24
and thank you :))

Answers

Answer:

x>8

Step-by-step explanation:

4+3x>24

-4      -4

3x > 24

/3     /3

x > 8

Which solution value satisfies the inequality x – 6 ≥ –7?
Question 18 options:

A)

x = –5

B)

x = 0

C)

x = –2

D)

x = –7

Answers

Answer:

B) x = 0

Step-by-step explanation:

To find the solution value that satisfies the inequality x – 6 ≥ –7, you must plug every x value into the x and see which one works.

Plug -5 into x

-5 – 6 ≥ –7

Combine like terms

-11 ≥ –7

This is false, -11 is not greater than or equal to -7.

Plug 0 into x

0 – 6 ≥ –7

Combine like terms

– 6 ≥ –7

This is true, -6 is greater than -7.

Plug -2 into x.

-2 – 6 ≥ –7

Combine like terms

-8 ≥ –7

This is false, -8 is not greater than or equal to -7.

Plug -7 into x.

-7 – 6 ≥ –7

Combine like terms

-13 ≥ –7

This is false, -13 is not greater than or equal to -7.

B) x = 0 is the only solution that is true and works, so that is your answer.

Have a lovely rest of your day! :)

lim x→0 √(x²+4)-2/x²​

Answers

The limit of the given function is 1/2

Limit of a function

Given the following limit of a function

lim x→0 √(x²+4)-2/x²​

Substitute the limit to have:

√(0²+4)-2/0²​

√4 - 2/0

2-2/0

0/0 (ind)

Apply the L'hospital rule to have;

lim x→0 d/dx√(x²+4)-2/(d/dx)x²​

lim x→0 (x²+4)^-1/2 * 2x/2x

lim x→0 (x²+4x)^-1/2

Substitute

(4)^-1/2

1/2

Hence the limit of the given function is 1/2

Learn more on limit of a function here; https://brainly.com/question/23935467

#SPJ1

A recipe for pizza dough calls for 1 1/2 cups of water and 6 cups of flour. How much water is used per cup of flour?

Answers

Answer:

1/4 cups

Step-by-step explanation:

Answer: 0.25

Step-by-step explanation:

4x-(12 divided 3) +2x=20

Answers

Answer:

4

Step-by-step explanation:

Please answer this correctly without making mistakes

Answers

Dale should use the $15 dollars off coupon to save the most money which costs 47.00.

25% off of 47.00 is 45.49.

$15 off of 47.00 is 32.00.

The $15 off coupon makes the DVD player cost less, so he should use that one.

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