The time it takes 5th graders to complete a particular mathematics problem are Normally distributed with a mean 2 minutes and a standard deviation of 0.8 minutes.
a. Find the probability that a randomly chosen 5th grader will take more than 2.5 minutes to complete the problem.

Answers

Answer 1

Answer

0.266

Step-by-step explanation:

x  ~ N(2,0.[tex]8^{2}[/tex])

P(x>2.5)

=P(Z>[tex]\frac{2.5-2}{0.8}[/tex])

=p(z >0.625)

=1-   Φ(0.625)

= 1 - 0.734

=0.266

Hope this helps please make me brainliest!


Related Questions

Find the simple interest paid to the nearest cent for each principal, interest rate, and time. $570, 2%, 4 years

Answers

Answer:

570 of 2% 4years

570×2÷100 4years

11.5 × 4÷12

3.8..

If you were to roll a standard six sided die, what is the probability of rolling a number less than what three other people rolled?

Answers

0.3333
I assume you mean on a 6-sided die? If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333 .

17. Write an equation in slope-intercept form for the line perpendicular to y = 3x - 9 that passes through the point (9,-9). Explain how you got your answer.

Answers

Answer:

y=-1/3x-6

Step-by-step explanation:

Perpendicular lines have slopes that are negative and reciprocal; if you multiply them together, the result is -1

so, to find the slope of the new line:

3m=-1

divide by 3

m=-1/3

the slope of the new line is -1/3

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept.

Here's our equation so far:

y=-1/3x+b

since the line passes through the point (9,-9), we can use it to solve for b

substitute into the equation:

-9=-1/3(9)+b

-9=-3+b

-6=b

b is -6

here's our equation

y=-1/3x-6

hope this helps! :D

1/2x - 7 = 1/3 (x- 12)

Answers

Answer:

x = 18

Step-by-step explanation:

1/2x - 7 = 1/3 (x- 12)

Multiply both sides by 3

3 * 1/2x - 3 * 7 = 3 * 1/3 (x - 12)

3/2x - 21 = x - 12

Collect like terms

3/2x - x = 21 - 12

1/2x = 9

Multiply both sides by 2

x = 2 * 9

x = 18

Answer:

x = 18

hope this helps! :)

Write an equation for the data in the table. Identify your variables.

Answers

First find the slope m. slope formula: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Let's use (0, -20) for x1 and y1; and (2, 10) for x2 and y2

[tex]\frac{10-(-20)}{2-0}[/tex] = [tex]\frac{30}{2}[/tex] = [tex]15[/tex]

Now find the y-intercept: the point where the graph crosses the y-axis. The y intercept always has an x value of 0. So -20 is the y-intercept

Use the slope formula [tex]y = mx + b[/tex]. Slope=m, y-intercept = b

y = 15x - 20

y is the money in the bank account in dollars

x is the day

please someone give me an actual answer.​

Answers

Answer:

option 2

Step-by-step explanation:

Mr. Turney wrote the value statement "x = 2" on the whiteboard. He asked his students to create an equation or inequality with this value as a solution.

Answers

Answer:

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

Step-by-step explanation:

Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.

To find - He asked his students to create an equation or inequality with

              this value as a solution.

Proof -

Given that, The value statement is ''x = 2''

We have to find out that equation in such a way that if we solve the equation , we get the value x = 2

There can be infinite many equation that give the value statement '' x = 2''

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

And many more.

Verification -

1. 2x = 4

⇒x = [tex]\frac{4}{2}[/tex]

⇒x = 2

Verified

2. 3x + 9 = 15

⇒3x = 15 - 9

⇒3x = 6

⇒x = [tex]\frac{6}{3}[/tex]

⇒x = 2

Verified

3. x + 5 = 7

⇒x = 7 - 5

⇒x = 2

Verified

4. 5x - 2 = 8

⇒5x = 8 + 2

⇒5x = 10

⇒x = [tex]\frac{10}{5}[/tex]

⇒x = 2

Verified

Question:show all of your work and includes all properties used on the right hand side of the Tabel.Solve the following equation for x, fill in the justification table for each.

Equation:3x+95x+21

Answers

Answer: 98x=21
= 3x+95x+21
=(3x+95x)+(21)
=98x+21

18 is 14 percent of what?

Answers

Answer:

18 is 14% of 128.5714

Step-by-step explanation:

it's 77.78

Step-by-step explanation:

14: 18*100 =

(14*100): 18 =

1400: 18 = 77.78

Now we have: 14 is what percent of 18 = 77.78

Question: 14 is what percent of 18?

Percentage solution with steps:

Step 1: We make the assumption that 18 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=18$100%=18.

Step 4: In the same vein, $x\%=14$x%=14.

Step 5: This gives us a pair of simple equations:

$100\%=18(1)$100%=18(1).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{18}{14}$100%x%=1814

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{14}{18}$x%100%=1418

$\Rightarrow x=77.78\%$⇒x=77.78%

Therefore, $14$14 is $77.78\%$77.78% of $18$18.

HELP ASAP!!!!!!! PLEASEEEEE

Answers

Answer:

B

Step-by-step explanation:

This asks for data from multiple people, and it not just a yes or no question

B the answer is b your welcome

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

C

Step-by-step explanation:

Hello There!

x = # of cars and y = # of vans

the total amount of vehicles is 12 so

x + y = 12

each car can hold 4 students and each van can carry 12 students

there are a total amount of 72 students

so 4x + 12y = 72

so from the given information we can conclude that the answer is C

Lucy scored 20 points in her basketball game. She made 4 of her free throws, worth 1 point each, and made no 3-point field goals. How many 2-point field goals did she make?
a. write an equation to represent this situation.

Answers

Answer:

Step-by-step explanation:

4x1=4, 20-4=16. 16/2=8. Lucy made 8 2 point field goals

A $1000 deposit is put into a savings account. Which of the following
compounding frequencies will ensure highest interest earned in 10 years?

A. Annually

B. Monthly

C. Quarterly

D. Semiannually

Answers

Answer:

B. Monthly

Step-by-step explanation:

Find the Volume of the Cube



Question 2 options:

A. 125 in3

B. 5 in3

C, 25 in3

D. 15 in3

Answers

C,25 in3 apoco si es eso que tú tienes o qué cosa es

The radius of a circle is 4 cm. Find its area in terms of Pi?

Answers

Answer:

50.27 cm

Step-by-step explanation:

4 to the second power=16

16×3.14=50.27

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!!

A student graphed f(x)=x and g(x)=f(x)−2 on the same coordinate grid. Which statement describes how the graphs of f and g are related?

A The graph of f is shifted up two units to create the graph of g.

B The graph of f is less steep than the graph of g.

C The graph of f is shifted down 2 units to create the graph of g.

D The graph of f is steeper than the graph of g.

Answers

Answer:

A The graph of f is shifted up two units to create the graph of g.

Step-by-step explanation:

Answer:
A) The graph of f is shifted up two units to create the graph of g.

Explanation:

One of my friends said to have had this questioning their test and they got a 100 so I’m sure it’s A. If this helped pls give brainliest I need to rank up thank you :)

Select all expressions that are equivalent to 2x+3x+8-3x-2.

Answers

Answer:

2x+6 since the +3 and -3x cancel each other out your only left with 2x

18. Write a similarity statement relating the three triangles in the diagram.

Answers

Triangle VWY is congruent to triangle XWV which is congruent to triangle XVY

During a sale, a store offered a 40% discount on a bed that originally sold for $840. After the sale, the discounted price of the bed was marked up by 40%. What was the price of the bed after the markup? Round to the nearest cent.

Answers

Answer:

$705.60

Explanation:

Discounted price:

$840 × (100% - 40%)

= $840 × 60%

= $840 ÷ 100 × 60

= $504

Markup:

$504 × (100% + 40%)

= $504 × 140%

= $504 ÷ 100 × 140

= $705.60

i hope this helps! :D

factorise (x+3)²-25
help meeeeee​

Answers

....................

Answer:

(x + 8)(x - 2)

Step-by-step explanation:

(x+3)²-25

x² + 6x + 9 - 25

combine like terms:

x² + 6x - 16

(x + 8)(x - 2)

PLSS HELP! WILL GIVE BRAINLIEST!!

Answers

Answer:

the answer is c!

Step-by-step explanation:

:)

Does the number triple 5, 6, and 8 represent the lengths of sides of a right triangle? Explain. Will give Brainliest

Answers

Answer:

no

Step-by-step explanation:

to be a right triangle the smaller two sides squared  & added together would equal the square of the longer side

does 5² + 6² = 8²?

25 + 36 = 61, not 64 so it is not a right triangle

pls help
What is due to acids formed when atmospheric and volcanic gases mix with water

A chemical weathering
B mechanical weathering
C root- pry
D pedalfer

Answers

Answer:

your answer is A chemical weathering

Step-by-step explanation:

as when volcanic gasses and atmospheric gasses mix it can become a sort of acidic rain in some cases I hope this answer helps I apologize for any wrong answers this is not my best subject but I wanted to attempt this as I k ow a small amount about it!

The process described in the question is known as acid rain, which is a type of chemical weathering. The correct answer would be option (A) chemical weathering.

What is acid rain?

When atmospheric and volcanic gases mix with water in the atmosphere, they can form acids such as sulfuric acid and nitric acid. These acids can then drop to the earth as acid rain. In rare situations, the mixing of volcanic and atmospheric gases can result in acidic rain.

Acid rain can cause chemical reactions with minerals in rocks and soil, dissolving them over time. This can lead to the breakdown of the rock or soil, which is an example of chemical weathering.

Thus, the process described in the question is known as acid rain, which is a type of chemical weathering.

Hence, the correct answer would be option (A) chemical weathering.

Learn more about chemical weathering here:

https://brainly.com/question/29616084

#SPJ7

HELLLL I’ll give Brainlist

Answers

Helium if I was you I would have chooses helium haha

Can someone plzzzz help meeee!!!!!

Answers

Answer:

1. Interpret (L): To explain or to give meaning to.

2. Variable: (F) Something that can change or influence the results of an experiment.

3. Observe (I): To notice what occurs during an experiment.

4. Questions (B): The inquiry or problem relating to a topic that can be answered by conducting an experiment.

5. Scientific Method (A): A method of doing research that includes the steps of identifying a problem, gathering data, forming a hypothesis, testing a hypothesis, and drawing a conclusion.

6. Ethical (E): Following the rules of being being fair and honest.

7. Hypothesis (G): An educated guess or reasonable assumption.

8. Research (D): To conduct an investigation into current information about something.

9. Experiment (C): A test or trial performed in order  to discover something.

10.  Conclusion (K): The result or outcome of something.

11. Procedure (H): A sequence of steps involved in performing an experiment.

If this helps, please consider giving a thanks, a good rating, and Brainliest! Thanks!

Sam’s average speed when running in a marathon is 12 feet per sec (12 ft/sec). Find his average speed in miles per hour (mi/hr) AND Show the dimensional analysis


I like chicken nuggets :>

Answers

Answer:

dimension

speed =distance/time

[S]=M^0L¹T-¹

Plssssss help I need an answer

Answers

Answer:

Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos

Step-by-step explanation:

I need help on this question

Answers

Answer:

4.8ft

Step-by-step explanation:

Determine the value of y-x ( •︠ˍ•︡ ) ​

Answers

Answer:

822

rhdjd dbd fn f f fnf f g g

what is the productof(-3/5)and (-15)

Answers

Answer: ok i kown

Step-by-step explanation:

i kown

Step-by-step explanation:

[tex]( - \frac{3}{5} ) \times ( - 15) = \\ = \frac{3}{5} \times 15 = \\ = 3 \times 3 = 9[/tex]

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