Mathematics Middle School

The speed of 10 cars on a certain highway stretch was recorded below. If the mean of the data is 63.2 with a standard deviation of 6.2, circle all data values with a z-score less than 0.5.
{49, 58, 60, 63, 64, 64, 65, 67, 70, 72}

Answers

Answer 1

Answer:

Data values: 63, 64, 64, 65

Step-by-step explanation:

[tex]Z=\frac{x-\mu}{T}\ or\ Z=\frac{\mu-x}{T}[/tex]

a.

[tex]0.5 = \frac{x-63.2}{6.2}[/tex]

x - 63.2 = 0.5 × 6.2

x = 66.3

b.

[tex]0.5 = \frac{63.2-x}{6.2}[/tex]

63.2 - x = 0.5 × 6.2

x = 60.1

values that falls within 60.1 < x < 66.3

= 63, 64, 64, 65

Related Questions

Triangle RST is made of points R(-10, 5.6), S(0, 7) and T(-6, -34).

If it is reflected across the x-axis to form triangle R'S'T', enter the coordinates of S'.

Answers

Answer:

S'= (0,-7)

Step-by-step explanation:

When reflecting coordinates across the x-axis, you would flip the sign of the y number (x,y) -> (x,-y). So in this case (0,7) -> (0,-7)

this thing on khan is killing me-

Answers

Answer:

The greatest value of y is y = 4, and it occurs when x = 5

(Not sure if it's correct but this is what I came up with)

Answer:

The greatest value of y is y = 4, and it occurs when x = 5

Step-by-step explanation:

WILL CHOOSE BRAINLIEST!!! A is (2,2). A' is (-1,-1). Which sequence of transformations best describes this transformation?

A. Reflection across the x-axis, dilation using k-1/2
B. Rotation 80°, dilation using k=1/2

Answers

Answer:

I believe A. reflection across the x-axis, dialation using k-1/2 looks better

Question 1) y=2/3x+1

Please answer both

Question 2) y= 3/2x + 1

Answers

Answer:

y= 2/3 x +1

the slope is 2/3

the y intercept is (0,1)

y= 3/2 x +1

I believe this is 4???

The first question answer is x=-2/3

The second question answer is x=-3/2
Hope I help

Whoever gets it right can have brainliest, but answer ASAP!

Answers

hello!

You can use the acronym PEMDAS to help you remember the Order of Operations in Maths.

Here's what it stands for:-

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

According to PEMDAS, the first operation is:-

Option A) 19-4

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

19 -4 should be used first as u can see pemdas says parentheses first

Write the absolute value equations in the form |x−b|=c (where b is a number and c can be either number or expression) that have the following solution sets: One solution: x=-3

Answers

Answer:

B=9

Step-by-step explanation:

X=-3 Plus c = b

C= 27

|x plus b| also = c

B=27 divided by 3

Answer is b=9
Explained

There is a 50% chance that a volleyball team will win any one of its four remaining games this year.
A spinner with 2 equal sections numbered 1 (win) and 2 (loss) is used to simulate the probability that the team will win exactly two of its last four games. The results of the simulation are shown below.
1221 1121 2211 2121 2221 2212 1122 1111 1222 1112
Out of 10 trials, there are favorable outcomes. Based on the simulation, the probability that the team will win exactly 2 of its last 4 games is .

Convince Me!
Does the probability that the team will win two games change when “exactly” is replaced with “at least”? Explain.

Answers

Answer:

1. 2

2. 50%

Convince Me: Yes, it will change, because there is still a small chance where they will lose all 4 games

Step-by-step explanation:

What is the peremeter and area of the photo below, also please show work .

Answers

Answer:

AA=216

PP=30

Step-by-step explanation:

Area: 216
Perimeter: 30

You have to add all the sides to get the Perimeter, but multiple if youre finding the Area

Help pls :,) (pls dont delete this) Is it C. or D.?

Answers

Answer:

C

Step-by-step explanation:

The story mostly talks about how money manangement should be tought in schools.

Answer:

C. Money skills should be taught at school.

Step-by-step explanation:

Brainlest please?

BRAINLIEST

Complete the missing number problem.

N = 32 ÷ (5 - 1)
N = 32 ÷ _

N = _

Answers

n=32÷4

n=8

N=8 because you subtract the 5 from 1 and get 4 then you divide 32 and 4 and you get 8

3.72 divided by 10^4 which of these shows and explains the correct location of the decimal point when the expression is evaluated?
A 0.0000372 because 4 zeros are placed in font of the number when you divide by 10 to the fourth power

B 0.000372 because the decimal point moves 4 places to the left when you divide by 10 to the fourth power

C 37,200 because the decimal point moves for places to the right when you divide by 10 to the fourth power

D 3,720,00 because 4 zeros are placed after the number when you divide by 10 to the fourth power

Answers

Answer:

B

Step-by-step explanation:

This is the answer because when you move the decimal point 4 places to the LEFT( moving left is for dividing while moving right will be for multiplying, also this only works for exponents of 10) it will equal to 0.000372.

Hope this helps.

Answer is B hope it helps

If a square has an area of 100ft², what is the length of one of the sides.

Answers

Answer:

The length of one side is 10 feet

Step-by-step explanation:

This is because the area of a square can be found through the formula side x side or [tex]side^{2}[/tex]. You can find the length of one side by finding the square root of the area. You would get both a positive and negative value for the square root but you want a positive value because a length cannot be negative.

An average adult giraffe is 18 feet tall. A newborn giraffe is about 6 feet tall/ Kayla is building a model of a mother giraffe and her newborn. She wants the model to be no more than 17 inches high.

Answers

Answer:

Mother = 17 inches and then Newborn = 5 (2/3) or 5.66666666667 inches

Step-by-step explanation:

I was sort of guessing based on your question what you were looking for. How I solved this is we know that since the average adult giraffe is 18 feet tall and the average newborn giraffe is 6 feet tall, then the adult giraffe is about 3 times as tall as the average newborn giraffe so the ratio is 3:1 adult: newborn. So with the mother at 17 inches, then since the newborn giraffe is, on average, 3 times smaller than the mother, it is therefore 17/3 = 5.666667 or 5 and 2/3s.

Evan randomly selects 30 marbles from a bag. His data is given in the table.

Color Number of Marbles
Red
9

White
3

Blue
8

Orange
4

Yellow
6

Based on Evan's data, enter a number in each box to correctly complete the sentences.
The probability of selecting a yellow marble is
.

If there are 300 marbles in the bag, a good estimate for the total number of red marbles in the bag is
.

Answers

The probability of selecting a yellow marble is #of yellow marbles/total # of marbles= 6/30 or .2 or 20%

If there are 300 marbles in the bag, a good estimate for the total number of red marbles in the bag is 90.

9/30=.3 = the percentage of red marbles
.3(300) = 90

High temperatures were recorded for 30 consecutive days: 50, 45, 49, 50, 43, 49, 50, 49, 45, 49, 47, 47, 44, 51, 51, 44, 47, 46, 50, 44, 51, 49, 43, 43, 49, 45, 46, 45, 51, 46. What is the range for the data set?

Answers

The answer is 21, you subtract the smallest number (30) by the biggest number (51)

Answer:

8

Step-by-step explanation:

highest number-lowest number=range

negative fractions on the number line 1

Answers

Answer:

-2/3

Step-by-step explanation:

Since there are 3 units from 0 to -1 and the mark is on the 2nd one it's 2/3

Send help its 50 points !

Answers

Step-by-step explanation:

According to picture we can see

Vertical angles

The opposite angles formed by two intersecting  lines

1, 6 and 9Complementary angles

The angles forming a right angle

2Adjacent angles4 and 5 (most of other angles can be added to this group)Linear pair

The angles forming a straight line

3, 7 and 8
According to picture we can see
Vertical angles
The opposite angles formed by two
intersecting lines
1. 6 and 9
Complementary angles
The angles forming a right angle
• 2
Adjacent angles
4 and 5 (most of other angles can be
added to this group)
Linear pair
The angles forming a straight line
3, 7 and 8

brainliest if it is right

Answers

Answer:

28.26

Step-by-step explanation:

9x3.14=28.26

Answer:

28.26

Step-by-step explanation:

First divide the diameter by 2, to get the radius.

9 ÷ 2 = 4.5

2 x 3.14 = 6.28

6.28 x 4.5 = 28.26

Therefore, 28.26 is the correct answer

-kiniwih426

Bijou says the following steps can be used to find 0.62 of 7:

Step 1

Step 2

Step 3


Step 4


Change "of” to the multiplication symbol.

62 × 7 = 434

There are 0 decimal places in 7 and 2 decimal places in 0.62 for a total of 2 decimal places in the factors.

Move the decimal place in the product 2 places to the right to find the solution: 0.62 of 7 is 43,400.

In which step did she make her first error?

Step 1
Step 2
Step 3
Step 4

Answers

Step 3 was the error hope this helps

Find an equivalent expression for -3(2x+5)-(x-1)

Answers

Answer:

-7x - 14

Step-by-step explanation:

By simplifying the expression:

-3(2x+5) - (x - 1)

-6x-15 -x + 1

-7x - 14

Answer:

-7x - 14

Step-by-step explanation:

You can use the distributive property to find an equivalent expression.

Distribute -3 to 2x + 5.

(-3 × 2x) + (-3 × 5) = -6x + (-15) = -6x - 15

Distribute -1 to x - 1. (It is -1 because there is always a 1 in front of things like x = 1x and (x + 1) = 1(x + 1). 1 times anything equals the number it is multiplied by. There is a - sign in front of the parenthesis, which makes the invisible 1 a -1.)

(-1 × x) + (-1 × -1) = -x + 1

You can simplify the expression.

(-6x - 15) + (-x + 1) = -7x - 15 + 1 = -7x - 14

I hope this helps and please mark me as brainliest!

Whoever answers correctly can have brainliest
but answer asap

Answers

Answer:

1/20

Step-by-step explanation:

2/5 ÷ 1/8 = 1/20

Answer:

Step-by-step explanation:

B 1/20

Chang runs each lap in 8 minutes. He will run at least 11 laps today. What are the possible numbers of minutes he will run today?

Answers

if he runs 1 lap in 8 minutes. u will have to multiply 8 (the minutes) by 11 (the number of laps he does) to get ur answer

8•11= 88 minutes
8x11=88
Chang is going to run 88 minutes today

Find the value of y

(angles)

Answers

Answer:

40

Step-by-step explanation:

y+80 = 3y

80 = 2y

y = 40

40 because
3y-y(1y)=
2y
Then
80=2y
Divide by 2
40=y

How can the area of this triangle be determined by forming a rectangle?

Select from the drop-down menus to correctly complete the statements.

Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is
Choose... 2, 4, 11 ,13
units. The width of the rectangle is
Choose... 2,4,11,13
units. The area of the rectangle is
Choose... 13 26 30 169
square units.

The area of the triangle is half the area of the rectangle, so the area of the triangle is
Choose... 13 26 30 169
square units.

Answers

The area of rectangle is 2 * triangle and that is the answer
the answer is gonna be 2 triangle

HElp help help help help

Answers

Answer:

There is 1 line.

Answer:

There is only one line.

Step-by-step explanation:

I got it right on the assignment. Goodluck!

fill in teh blanks. 4356x3

Answers

Answer:

12,000, 900, 210, 18       4376x3=13128

Step-by-step explanation:

In the 1st box, you put the product of 4,000 x 3 = 12,000

In the 2nd, you put the product of 300 x 3 = 900

In the 3rd, you put the product of 70 x 3 = 210

In the 4th, you put the product of 6 x 3 = 18

Then you add your answers

12,000 + 900 + 210 + 18 = 13,128

The required partial product of 4376 × 3 is 13128.

What is the partial product?

In mathematics, partial products are defined as multiplying each digit of one integer by each digit of another number while keeping each digit's place value.

Here,
4376 × 3 = [4000 + 300 + 70 + 6] × 3

Simplifying using the distribution of 3,
= 4000 × 3 + 300 × 3 + 70 × 3 + 6 × 3
= 12000 + 900 + 210 + 18
= 13128

Thus, the required partial product of 4376 × 3 is 13128.

Learn more about the partial products here: https://brainly.com/question/24716925
#SPJ7

Answer the following about 4,240/8 estimating.

Answers

Answer: The answer to the equation 4,240/8 = 530

Step-by-step explanation:

4,240 divided by 8 = 530

4,000 divided by 8 = 500

4,800 divided by 8 = 600

(For part B 500 would be an underestimate of the answer to 4,240/8 and 600 would be an overestimate of 4,240/8)

What is the average rate of change over the interval 2 ≤ x ≤ 4?

Answers

Answer:

:2.50:The average rate of change over the interval −2≤x≤2 is:(f(2) − f(-2)) / (2 − -2)

Step-by-step explanation:

A rate of change formula is used to calculate the rate which describes how one quantity changes in relation to the change in another quantity

I buy a bed which normally costs £270 on a scheme where the price of the bed is increased by 60% but I only pay back £18 a month.
How long will it take to fully purchase the bed?

Answers

Answer:

it would take 2 years or 24 months

Step-by-step explanation:

60 percent of 270 is 162 add that to 270 and you get 432 divide that by 18 because that's what you're paying every month and you get 24 which is the numbe rof months it will take you to pay the bed off.

To cross check we can multiply 18 and 24 and you get 432.

Answer:

=432

Step-by-step explanation:

270-60%=162

162+270=432

432÷18=24

24×18=432

help me i cant figure this out

Answers

Answer:

is 214

Step-by-step explanation:

1. find the there side of outside, which are 6,7 and 5. 2 you have to multiplay 6x5, 7x5 6x7. 3 you got to add all, so is 107, however you have to multiplay by 2, so the answer is 214

Other Questions
The warning tag on a lawn mower states that it produces noise at a level of 91.0 dB. What is the intensity of this sound in watts per meter squared Who is one of the most prolific World War 2 Auschwitz survivors who won a noble peace prize? Write the equation for each translation of the graph of y=|x+2|. a) one unit up b) one unit down c) one unit to the left d) one unit to the right 3. A U.S. MNC needs to raise capital of $100 million by issuing bonds. The firm can either raise US$ at 5% interest rate or issue foreign bond in Germany denominated in Euro at 6%. The Euro is expected to depreciate by 2% in the following year. What is the best alternative and how much is the effective dollar cost Do you think we like to think of America as being a GOOD country therefore its hard to think of the negative actions of our people/government? Do you think it was appropriate and necessary to forcibly remove (those who survived) first nation groups from their ancestral lands? Do you think is it possible that people would repeat the actions today under similar circumstances? Find x. Round your answer to the nearest tenth of a degree. (Please help) Can anyone help me on assignment 8: personal organizer on edhesive? What percentage of 340 is 425? (A) 80% (B) 85% (C) 125%. (D) 152% what term refers to the process in which the traits of survivng animals or organisms are passed on to future generations while the traits of the animals or organsims that dont survive die along with that creature How were aztec teachers regarded? Help!Populations of which taxa are likely to benefit if the numbers of voles and mice increased? write about what life was like for African Americans on the home front during World War II Find the area of the composite figure.69 square feet48 square feet70 square feet82 square feet Emily walked 5 2/6 miles in the morning and another 3 3/5 miles in the afternoon What was the total distance she walked? PLEASE HELP (questions in photo) Ill mark brainliest British law placed a high tax on: help pls......, 50 points A right triangle has a hypotenuse with a length 12 and a leg withlength 5. How long is the triangle's other leg? Riccardo Frierson deposits $1,200 in savings account. The account pays a 3.5% annual interest rate. He makes no other deposits or withdrawals. How much simple interest does his account earn in 6 months? Heres another geometry workbook question I need help with!