A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66



C20, point, 66, degrees, start text, C, end text and a standard deviation of 2 ^\circ \text{C}2



C2, degrees, start text, C, end text. The average temperature of Singapore is 26 ^\circ \text{C}26



C26, degrees, start text, C, end text.

What proportion of average city temperatures are lower than that of Singapore?

You may round your answer to four decimal places.

Answers

Answer 1

Answer:

0.9962

Step-by-step explanation:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score[/tex]

μ = 20.66°C, σ = 2°C

For x < Singapore temperature, i.e. x < 26

[tex]z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67[/tex]

From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962


Related Questions

how to know the equation and solve it?​

Answers

Answer:

i added all the values because the total angle of the interior triangle should give 180 °.

Given f(x) = -2x - 1, solve for x when f(x) = -7

Answers

-2(-7) - 1
14-1

ANSWER: 13

Write the expression below as a product of two factors.

12n + 8m - 4

Answers

Answer:

4(2m + 3n - 1)

I hope this helps!

Answer:

12=3*4 or 6*2.   8=4*2  and -4=4*-1

is the factors.

3.An increasing linear function with independent variable x and dependent variable y approaches the point (−1, 1). If this function is defined only when x is greater than −1 and y is greater than 1, what are the domain and range of this function?


A.The domain is (−1,+[infinity]) and the range is (−1,+[infinity]).


B.The domain is (−1,+[infinity]) and the range is (1,+[infinity]).


C.The domain is (1,+[infinity]) and the range is (−1,+[infinity]).


D.The domain is (1,+[infinity]) and the range is (1,+[infinity]).



4.The function y=3x−6 is defined for all values of y less than 12. Determine the value of x that corresponds to the upper boundary y=12.


A.18


B.6


C.2


D.54


5.The function y=2x+5 is defined for every y-value that is not less than 11. What is the domain of this function?


A.(−[infinity], 3)


B.[3,+[infinity])


C.(3,+[infinity])


D.(−[infinity], 3]

Answers

Answer:

3.

C. The domain is (1,+[infinity]) and the range is (-1,+[infinity])

4.

B. 6

5.

A. (-[infinity], 3)

Step-by-step explanation:

The Linear function has one independent and one dependent variable. The value of dependent variable can be found by taking the equation equals to 0. The domain function is set to analyse the range. The range can be set as -1 to 1. Any number between this is acceptable but outside this is not considered in the domain.


When substances go through chemical changes, which of the following will always happen?
OA. One or more substances will be completely destroyed.
OB. Exactly one new substance will form and one will be destroyed.
OC. One or more substances with different chemical properties will form
OD. A gas will form or a white solid will precipitate.

Answers

Answer:

C

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

Just remember this:

Mass can neither be created or destroyed

Jason Pawloski is married and claims 2 allowances. How much is withheld from his weekly paycheck of $550 for the last week of December for social security and Medicare taxes?

Answers

It is exactly answer$230

If you teach me how to mark brainlest i will mark you brainlest and you will get 20 points.

Answers

Answer:

tab on it.

Step-by-step explanation:

What property justifies 4x=7

Answers

Answer:

x=1.5

Step-by-step explanation:

Answer:

exact form x=7/4

decimal form x=1.75

mixed number form x=1 3/4

Step-by-step explanation:

Hooke’s law states that the distance that a spring is stretched by hanging object varies directly as the mass of the object. If the distance is 20 cm when the mass is 3 kg, what is the distance when the mass is 5 kg?

Answers

Answer:

33.3333333

Have a nice day!      :)

What is the distance from point to wx in the figure below?
W
24
Z 10 X
Pro
26
1012
y
O A. 10.5
Ο Ο Ο
OB. 10/3
C. 35
D. 10
O E. 5
O F. Cannot be determined

Answers

Answer:

D. 10

Step-by-step explanation:

Apex

Answer:

Step-by-step explanation:

Its D 10

The equation s =square root 30fd can be used to find the car's speed s in mph given the length d in feet of a skid mark and the friction factor f of the road. Police measured a skid mark of 90 feet on a dry concrete road. If the speed limit is 35mph, was the car speeding? Explain

Answers

Answer:

Yes, the car was speeding the speed limit.

Step-by-step explanation:

The given equation to find the car's speed, s (in mph), is

[tex]s=\sqrt{30fd}[/tex]

where, d is the length of the skid and f is the friction factor.

Police measured a skid mark of 90 feet, so d=90

As the road is dry and of concrete, therefore the friction factor, f=0.8.

So, the speed of the car

[tex]s=\sqrt{30\times0.8\times90} = 46.48[/tex] mph

The speed of the car is 46.48 mph which is more than the speed limit of 35 mph.

Hence, the car was speeding the speed limit.

the table models the linear relationship between the calories marcy burned and the time she spent on the bicycle. what is the rate of change of the calories marcy burned with respect to time

Answers

La kwkalalaobababanNananana

Gabriela asistió al buen fin y compró a crédito un refrigerador de $8,500.50, un televisor de $3,500.50, una computadora de $6,999.00 y una lavadora de $4,999.00. ¿A cuánto asciende la deuda de Gabriela?

Answers

Answer:

23,999

Step-by-step explanation:

Un refrigerador de $8,500.50

Un televisor de $3,500.50

Una computadora de $6,900.00

Una lavadora de $4,999.00

8,500.50 + 3,500.50 + 6,999.00 + 4,999.00 = 23,999.00

I don’t know what to do, if someone could please help me & explain, you’re the best!

Answers

Answer:

they follow the line test

Step-by-step explanation:

there are no repeating x values and if you make a line on each x value there wouldnt be any 2 on a line

Fill in the blank with Yes or No. Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15. 1. Is Rectangle A a scaled copy of Rectangle B? 2. Is Rectangle B a scaled copy of Rectangle A? 3. Is Rectangle A a scaled copy of Rectangle C?

Answers

Answer:

1. Yes

2. Yes

3. No

Step-by-step explanation:

Given

Rectangle A:

[tex]Length = 12; Width = 8[/tex]

Rectangle B:

[tex]Length = 15; Width = 10[/tex]

Rectangle C:

[tex]Length = 30; Width = 15[/tex]

Solving (1): Is Rectangle A a scaled copy of Rectangle B?

To do this, we simply determine the ratio of the length and width of both rectangles;

i.e.

[tex]Ratio = \frac{A}{B}[/tex]

For Length:

[tex]Ratio = \frac{12}{15}[/tex]

[tex]Ratio = 0.8[/tex]

For Width:

[tex]Ratio = \frac{8}{10}[/tex]

[tex]Ratio = 0.8[/tex]

Since both ratios are the same, then this statement is true

Solving (2): Is Rectangle B a scaled copy of Rectangle A?

This is the inverse of (1) calculated above.

Since (1) is true, then (2) is also true

3. Is Rectangle A a scaled copy of Rectangle C?

To do this, we simply determine the ratio of the length and width of both rectangles;

i.e.

[tex]Ratio = \frac{A}{C}[/tex]

For Length:

[tex]Ratio = \frac{12}{30}[/tex]

[tex]Ratio = 0.4[/tex]

For Width:

[tex]Ratio = \frac{8}{15}[/tex]

[tex]Ratio = 0.53[/tex]

Since both ratios are the not same, then this statement is false

3. The area of a rectangle is 5/8 square foot. The width of the rectangle is 24
feet. What is the length of the rectangle?
a) 25/16 feet
b) 25/5 feet
c) 14 feet
d) 4 feet

Answers

Answer: 14

Step-by-step explanation:

Well, we know that the formula to fugure out area is :Length times Width

We also know that WIdth is 24. So 24 times __ =5/8.

Now, how do you figure out __? Well, let's first replace that as a variable to make it easier. Let's choose: x   Now, we know that:

x * 24 = 5/8.

To figure out x, we need to do 5/8 divided by 24, right?  When you solve that, the answer would be 15. The closest is 14, so I think the answer is 14.

Translate the inequality and solve. Negative three times a number is less than six.

Answers

Answer:

x>-2

Step-by-step explanation:

The translated inequality to be solved is -3x<6

You divide -3 by both sides which switches the sign because it is negative, there fore the answer is x>-2.

Answer:

x<-18

Step-by-step explanation:

question.



Contrast the plate movements that cause the stresses in diagrams B and C How did geography affect the way Greeks made their livings?

Answers

Answer:

1. Greece made most of their living from the sea.

2. They became fishers and sailors to get food.

3. On their peninsula they had many different ways to trade with other countries.

4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.

5. Since Greece's sea's are dived from one another, it make trading fiercely independent.1. Greece made most of their living from the sea.

2. They became fishers and sailors to get food.

3. On their peninsula they had many different ways to trade with other countries.

4. Greece's mountains aren't good for growing crops, although their climate was mild ,so they could grow wheat, barley, olives, and grapes.

5. Since Greece's sea's are dived from one another, it make trading fiercely independent.

A pie chart is used when

Answers

to compare parts of a whole

A child shot a toy rocket into the air from their playhouse which stood 5 ft above the ground. The rocket rose to 50 ft above the ground and landed on the ground 3.4 seconds later. The path of the toy rocket could be modeled by a quadratic function, , where h is the height of the toy rocket in feet after t seconds. ⦁ What is the practical domain of the function? ⦁ What is the practical range of the function? ⦁ How would the theoretical domain and range of the function differ from the practical domain and range of the situation?

Answers

Answer:

a. 0 ≤ t ≤ 3.4 s. b. 0 ≤ y ≤ 50 ft. c. i. -∞ ≤ t ≤ +∞. ii. -∞ ≤ y ≤ 50

Step-by-step explanation:

a. What is the practical domain of the function?

Since the toy rocket lands on the ground 3.4 seconds later, if the time it starts to fly in the air is time t = 0 and the time it lands is time t = 3.4 s, the practical domain of the function is 0 ≤ t ≤ 3.4 s.

b. What is the practical range of the function?

Since the rocket reaches a maximum height of 50 ft, if the maximum height of the toy rocket is y = 50 ft and it lands on the ground at y = 0, the practical range of the function is 0 ≤ y ≤ 50 ft.

c. How would the theoretical domain and range of the function differ from the practical domain and range of the situation?

i. The theoretical values of t is from is from t = -∞ to t = +∞. So, the theoretical domain is -∞ ≤ t ≤ +∞.

ii. Since the maximum value of the function is y = 50, and it also decreases to y = -∞. So, the theoretical domain is from y = -∞ to y = 50. So, the theoretical range is -∞ ≤ y ≤ 50

what is the distance between 1/4 and 3 1/16?

Answers

Answer:

2 13/16

Step-by-step explanation:

3/16 - 1/4

Please can some body help me with this!!!!
It’s due tomorrow ☹️

Answers

Answer:

x=6

DO=25

OG=35

Step-by-step explanation:

start by solving the length of DG to find x.

DO+OG=60

(4x-3)+(2x+21)=60

6x+18=60

6x=42

x=7

Now plug in x and solve.

DO=4(7)-3

DO=28-3

DO=25

OG=2(7)+21

OG=14+21

OG=35

(3-x)3y math homework pleassee help!! Also please include explanation

Answers

Answer:

9y - 3xy

Step-by-step explanation:

3y(3 - x)

Distribute;

3y*3 - 3y*x = 9y - 3xy

D. Neither
I will give brianlest to whoever is right

Answers

Answer:

Negative Infinity

Step-by-step explanation:

It is a negative slope, therefore as x moves towards positive infinity, y will move towards negative infinity.

how.would i solve this

Answers

Triangles LNM and SRT are similar, so corresponding angles are congruent. In particular, angles M and T are congruent. The interior angles of any triangle sum to 180º in measure, so

65º + 55º + (2x + 30)º = 180º

Solve for x :

(2x)º + 30º = 60º

(2x)º = 30º

x = 15

14. A linear function is negative for x <-6 and has a y-intercept of 1. If you correctly sketch a graph of the function, at
what point will the graph intersect the x--axis?
a. (0,6)
b. (6,0)
c. (-6,0)
d. (0,-6)

Answers

I did get the wrong one but when you did the same time I got you a good j 8337378 so it is c

Estimate 4.8 x 4.15.

Answers

Answer:

19.92

Step-by-step explanation:

4.8 x 4.15

Answer:

20 is the correct answer.

Step-by-step explanation:

Plzzzzzzz help ppllz

Answers

Answer:

x=25

Step-by-step explanation:

Given

Which of the following steps could be used to solve the equation 93 = x + 58?

Answers

Answer:

x=35

Step-by-step explanation:

93=x+58

-58   -58

35=x

x=35

Simply subtract 58 on both sides so it crosses out, isolating x.

Also x would be 35 in case you need that.

line I is the perpendicular bisector of MN. find m

Answers

Answer:

m = 68

Step-by-step explanation:

MN bisects it or splits it in half so we know N = M, which we could also write as 8x-12 = 5x+18 because they give us those equations

once you have 8x-12 = 5x+18 you can subtract 5x from both sides, so you will get 3x-12 = 18, then you can add 12 to both sides and you will get 3x = 30. Once you have narrowed down to this you can divide three by both sides making x = 10

Now that we know x =10 we can insert it into the equation

5(10) + 18 = m

50 + 18 = m

m = 68

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