You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time with an absolute deviation of at most 4 minutes. Complete the inequality to represent the time (in minutes) you hope to achieve.

Answers

Answer 1

Answer:28 ≤ x ≤40

Step-by-step explanation:Arrange the data from the smallest to the largest

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Identify the median value

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Getting the median

(33+35)/2 = 68/2 = 34 minutes

You want your time to be last year's median time with an absolute deviation of at most 6 minutes

This mean ±6 minutes, hence this will be 34 ± 6

34+6=40 and 34-6=28

The inequality will be 28 ≤ x ≤40


Related Questions

PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU 7x - 4x + 3

Answers

Answer:

7x - 4x + 3

3x + 3 = 6x

Step-by-step explanation:

7 - 4 = 3 meaning 7x -4x would be 3x as they are similar terms and then you add + 3 making it 6x

How many fewer boys’ shoes were 19 cm long than 22 cm long?

Answers

Answer:

6 boys

Step-by-step explanation:

I had a quizlet

A 3x33 cube is built out of twenty-seven 1x1x1 blocks. Then,
seven ixi blocks are removed. Specifically, the center block
from each of the six faces of the cube is removed and the center
block of the cube is removed. What is the total surface area of
the modified cube?

Answers

Answer:-7^2(negitive seven to the second power)

Step-by-step explanation:

What are the answers and explain

Answers

Answer:

Step-by-step explanation:

answers to what

?ummm can you rephrase this because I don’t understand

I need some help with these, I would appreciate it.

Answers

The first one I think is B

Find the length of JI

Answers

Answer:

12

Step-by-step explanation:

Assuming that KI is 15 units longs, we can set up an equation by  using the equations given.

2x-15+2x-6=15    /simplify

4x-21=15              /+21

4x=36                  /÷ 4

x=9

Now that we know that x is 9 units, we plug it into the given equation of the line.

2*9-6=12

Thus, JI is 12 units long.

I hope this helps!

12
Step by step explanation

Study the diagram of circle C, where two chords, AB and DE, are equidistant from the center.

If AB=3x − 7, and DE = 5(x − 5), what is the length of AB?
Enter the correct value.

Answers

The answer to what is the length of AB and the correct value is 20

I got a 100% on test

Bella went shopping for a new phone. To find the total plus tax, she multiplied the price of the phone by 1.075. What percent tax did she pay?

Answers

7.5% because 1.075 is equal to 107.5% but you want to find the tax so subtract the 100 since it’s only tax and u get 7.5%

help me please I don't understand ​

Answers

Step-by-step explanation:

Option 3 must be correct.

Plz i need an accurate answer help me plz. Choices -
-6 or 6

Answers

Answer:

6/2 or it can be 3 and that one will be with the one that says x=1 and 7 will be the answer for the one that says x=5 or it can be 14/2

Step-by-step explanation:

I hope this is what you mean

The sum of the angles of any triangles. Write each answer on the line provided beside the corresponding letter. Notice that angle C is in an equilateral triangle and angle D is in an isosceles triangle.

Answers

Step-by-step explanation:

A=60B= 60 c= 60 D=42E35F= 35G= 55H= 4 5 I= 45J= 1 5 k= 15 L= 75 M= 120 N= 21O= 69P= 21Q= 55R= 55s= 42T= 42u= 69

can someone help me with this?

Answers

Answer:haha no

Step-by-step explanation:

Construct a 98% confidence interval to determine whether there is any difference between the mean drug concentration in tablets produced at the two sites. Now analyze the data using a statistical test of hypothesis that the two means are different. Do the inferences drawn from the test of hypothesis and confidence interval agree

Answers

Answer:

Step-by-step explanation:

So, we are given two sites;

Site one: 91.28 , 92.83, 89.35, 91.90 82.85, 94.83, 89.83, 89.00, 84.62, 86.96, 88.32, 91.17, 83.86, 89.74, 92.24, 92.59, 84.21, 89.36, 90.96, 92.85, 89.39, 89.82, 89.91, 92.16, 88.67.

=> The mean = add up all the numbers/ the total numbers (which is 25). = 89.55.

=> The standard deviation = 3.005

SITE TWO: 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20 93.44 86.77 83.77 93.19 81.79.

=> The mean= add up all the numbers/ the total numbers (which is 25). = 89.033.

=> Standard deviation = 3.271.

NB: the assumption here is that the variance for both sites are the same.

STEP ONE: DETERMINE THE DEGREE OF FREEDOM AND THE CRITICAL VALUE.

The degree of freedom =( mean of site 1 ) + (mean of site 2) - 2 = (25 + 25) − 2 = 48.

Since the degree of freedom is 48, Recall that the value for alpha given = 0.02. Then, the critical value = 2.407.

STEP TWO: DETERMINE THE STANDARD DEVIATION AND THE STANDARD ERROR FOR BOTH.

Therefore, the standard deviation = √[( 25 - 1) × 3.005^2 + (25 -1) × 3.271^2) ÷ (25 +25 - 2) ] = 3.14.

Also, the standard error = standard deviation × ( √(1/ mean 1 + 1/mean 2) ..

Standard error = 3.14 × [ ✓( 1/25 + 1/25)] = 0.89.

STEP THREE: DETERMINE THE CONFIDENCE INTERVAL.

confidence interval = (89.548 - 89.033 - 2.41 × 0.89, 89.548 - 89.033 + 2.41 × 0.89) = (- 1.62, 2.65).

STEP FOUR: THE HYPOTHESES.

=> THE TWO TAILED TEST.

Jo:μ1​ = μ2​.

Ja: μ1​ ≠ μ2​.

Thus, the rejected region is {t : ∣ t ∣ > 2.7}

As critical value = 2.7 for the degree of freedom which is 48 and α=0.01.

If we do the t - test for this,.we will have;

(89.548 - 89.003)÷ ( standard deviation × √ ( 1/25 + 1/25). = 0.58.

So,from our t - value, is less or equals to the critical value, therefore, the null hypothesis is not rejected.

Also, from the p-value table which gives p=0.565. The p- value is greater than or equal to the alpha value(0.01). therefore, the null hypothesis is not rejected.

We are not going to reject the null hypothesis because the information gathered is not enough.

There are 4 trucks for every 5 cars in a parking lot. If there are 80 cars, how many trucks are in the parking lot?

Answers

Answer:

There are 64 trucks!

Step-by-step explanation:

What is the absolute value of 2-9i

Answers

Answer:

so we get as,

let, y = 2 - 9i

so the absolute value is |y|

so we get as,

|y| = 2-9i

so the absolute value is  |y|

|y|=√ 2 to the 2nd power plus 9 to the second power

so we get as,

|y|=

√81+4=√85

so the value is √85

Example:

| − 2 − i | = √ 5

Explanation:

Absolute value of a complex number  a + i b  is written as  | a + i b |  and its value as  √a 2 + b 2 .  

Hence, absolute value of  − 2 − i  is  √ ( − 2 ) 2 + ( − 1 ) 2 = √ 4 + 1 = √ 5 .

Step-by-step explanation:

What is the sum of ​23 17/27+8/9​ ?

Answers

Answer:

232533

Step-by-step explanation:

add the sum

Brandon is landscaping his backyard. He bought 2 7\8tons of decorative rock and 1 2\5 tons of boulders. How many total tons of rock did he buy?

Answers

Answer:

4 11/40 hope this helps :)

Step-by-step explanation:

Answer:

4 11/40

Step-by-step explanation:

I had this question

Three friends go grocery shopping together, and each buys the same kind of
oranges. LaMar buys 2 pounds (lb) and pays $1.00. Enrico buys 4 pounds and
pays $2.00. Anna buys 3 pounds and pays $1.50.
Identify the aranh and unit price that represent the orange costs.

Answers

Answer: C In my case

Step-by-step explanation:

Well you wanna choose the one with 1,2,3,4 as its pounds and that should be correct with the 50 cents in dollars.

Mr. Santiago has a flight from New York to Paris that covers a distance of 3,640 miles in 7 hours. If the plane travels at the same speed per hour, how many miles will it have traveled after 4 hours?

2. Josh watches 720 shows in one year. If he watches the same number of shows each month, how many shows does he watch in 5 months?

Answers

Answer:He traveled 2080 miles after 4 hours. He covered 3640 miles in 7 hours with a constant speed, so we can calculate the speed: 3640/7=520 miles/hour. After 4 hours, he traveled 520*4=2080 miles.

Step-by-step explanation:

marking brainly! Identify the coefficient in the term 7x2 y3.
2
3
7

Answers

Step-by-step explanation:

If you meant 7 times 2y^3, the coefficient term for y^3 would be 2 and coefficient of y^0 term (or the constant term) would be 7

2= n/3 n=?
In "One-strp multiplication &division equations

Answers

2 = n/3
Multiple both sides by 3
n = 6

Solve the equation-17x-16=-135

Answers

Answer:

x=7

Step-by-step explanation:

Add 16 to both sides

-17x-16+16=-135+16

Simplify

-17x=-119

Divide both sides by -17

-17x/-17=-119/-17

Simplify

x=7

Hope this helped! :)

Carley owns an ice cream stand. She wants to predict how many ice cream cones she will sell as a function of the average daily high temperature each month. The data for the past 777 months is shown in the table below.

Answers

Answer:

can you show me the data so i can see the temperature

Answer: Graph C

Step-by-step explanation: The answer is C (Took the quiz)- Khan Academy

Bailey has 8 pears.
Each pear weighs
1/4 pound. How
many ounces of
pears does Bailey
have?

Answers

The answer is 2 pounds.

Each pound weighs 1/4, so you divide 8 by 1/4 and you get 2.

3)m I really need help

Answers

Answer:  angle ULM = 120 degrees.

====================================================

Explanation:

We'll use the angle addition postulate. This is basically the idea where we can break any angle into smaller parts, or go in reverse to build up larger angles based on smaller pieces.

In this case, we can see that the smaller angles KLU and ULM combine to form the largest angle KLM. Think of it like puzzle pieces.

Let x be the measure of angle ULM

We can say the following

(angle KLU) + (angle ULM) = angle KLM

(36) + (x) = 156

36 + x = 156

To solve for x, we subtract 36 from both sides

36+x-36 = 156-36

x = 120

Angle ULM is 120 degrees.

-------------------

As a check,

(angle KLU) + (angle ULM) = 36 + 120 = 156

which matches with angle KLM, so the answer is confirmed.

ULM = KLM - KLU

ULM = 156 - 36

ULM = 120 degrees


In simple terms what exactly would cause this county to experience a food shortage

Answers

Answer:

obese people eating millions a day.

Step-by-step explanation:

What is the image of 2,-1 after a reflection over the y axis

Answers

There are no images included, but it would be -2,-1.

Please answer number 1? Thank you

Answers

Answer:

This is a normal distribution and we can use the standard score to compute for probabilities. We compute the standard score of the given.

Explnation:

z = (x - mu)/sd

z = (2625 - 2600)/50 = 25/50 = 0.5.

Consulting the z-table, P(z <= 0.5) = 0.6915.

P(z > 0.5) = 1 - P(z <= 0.5) = 1 - 0.6915 = 0.3085.

I hope this helped! <3

What is the equation you would set up to solve the following problem? DO NOT SOLVE THE EQUATION.
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?

Answers

4x + 5 = 25

x being the cost of each eraser

When using substitution to solve this system of equations, what is the result of the first step x=6y+3
x+2y=5

Answers

First step: you have to plug in 6y+3 into the equation and solve
Example: 6y+3+2y = 5

The result of first step is 6y+3+3y = 5 and values of x and y after solving are 1/4 and 9/2 respectively.

What is substitution method?

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

Given that, the two equations x=6y+3 and x+2y=5 being solved by substitution method

So, the equations are,

x=6y+3.......(i)

x+2y=5......(ii)

Substituting eq(i) in eq(ii)

6y+3+2y = 5

8y = 2

y = 1/4

Put y = 1/4 in eq(i)

x = 6x1/4+3

x = 9/2

Hence, The result of first step is 6y+3+3y = 5 and values of x and y after solving are 1/4 and 9/2 respectively.

For more references on substitution method, click;

https://brainly.com/question/14619835

#SPJ2

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