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:

5.67

Step-by-step explanation:


Related Questions

if one box has a surface area of 240 inches what is the surface area of 5 boxes??
#answernowuwuplease

Answers

Answer:1200

1 box=240

so if you take 240 x5 you get 1200

Step-by-step explanation:

If one box has a surface area 240 inches and you have 5 boxes, multiply 240 by 5. The answer is 1200 inches of surface area.

Solve the inequality 5y+4 ≤ 22-y and graph the solution set on a number line. Please explain how to do it!

Answers

Answer:

y≤3

Step-by-step explanation:

5y+4≤22−y

Step 1: Simplify both sides of the inequality.

5y+4≤−y+22

Step 2: Add y to both sides.

5y+4+y≤−y+22+y

6y+4≤22

Step 3: Subtract 4 from both sides.

6y+4−4≤22−4

6y≤18

Step 4: Divide both sides by 6.

6y/6≤18/6

y≤3

Hey there!

Let's solve your inequality step-by-step.

[tex]\fbox{5y+4≤22−y}[/tex]

Step 1: Simplify both sides of the inequality.

[tex]\fbox{5y+4≤−y+22}[/tex]

Step 2: Add y to both sides.

[tex]\fbox{5y+4+y≤−y+22+y}[/tex]

[tex]\fbox{6y+4≤22}[/tex]

Step 3: Subtract 4 from both sides.

[tex]\fbox{6y+4−4≤22−4}[/tex]

[tex]\fbox{6y≤18}[/tex]

Step 4: Divide both sides by 6.

[tex]\fbox{6y/6 ≤ 18/6}[/tex]

[tex]\fbox{y≤3}[/tex]

Answer:

[tex]\fbox{y≤3}[/tex]

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Charles needs a $10,000 loan in order to buy a car. Which loan option would allow him to pay the LEAST in interest? A) A 2-year loan with a 4.75% interest rate compounded annually. B) A 3-year loan with a 4.00% interest rate compounded annually. C) A 4-year loan with a 3.75% interest rate compounded annually. D) A 5-year loan with a 3.00% interest rate compounded annually.

Answers

formula used : [tex]\sf A = P(1 + \dfrac{r}{n})^{nt}[/tex]

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

✔A) A 2-year loan with a 4.75% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.75\%}{1})^{(1)(2)}[/tex]

[tex]\hookrightarrow \sf A = \$10,972.56[/tex]

interest : $10,972.56 - $10,000 = $972.56

B) A 3-year loan with a 4.00% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{4.00\%}{1})^{(1)(3)}[/tex]

[tex]\hookrightarrow \sf A = \$11248.64[/tex]

interest : $11,248.64 - $10,000 = $1248.64

C) A 4-year loan with a 3.75% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.75\%}{1})^{(1)(4)}[/tex]

[tex]\hookrightarrow \sf A = \$11586.50415[/tex]

interest : $11,586.50415 - $10,000 = $1586.5

D) A 5-year loan with a 3.00% interest rate compounded annually.

[tex]\hookrightarrow \sf A = 10,000 (1 + \dfrac{3.00\%}{1})^{(1)(5)}[/tex]

[tex]\hookrightarrow \sf A = \$ 11592.74074[/tex]

interest :  $11,592.74074 - $10,000 = $1592.74

Thus loan of 2-year loan with a 4.75% interest which is compounded annually will allow him to pay the least interest of only $972.56.

The least interest is 972.56 dollars. Then he has to select a 2-year loan with a 4.75% interest rate compounded annually.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the formula for the amount will be

[tex]A = P (1 + r) ^t[/tex]

A = Amount

P = Loan amount

r = rate of interest

t = time

The interest is given as

Interest = A - P

Charles needs a $10,000 loan in order to buy a car.

A) A 2-year loan with a 4.75% interest rate compounded annually. Then the amount will be

[tex]\rm A = 10000(1.0475)^2\\\\A = 10972.56[/tex]

Then the interest will be

Interest = 10972.56 - 10000

Interest = 972.56

The amount of interest is $972.56.

B) A 3-year loan with a 4.00% interest rate compounded annually.  Then the amount will be

[tex]\rm A = 10000(1.04)^3\\\\A = 11248.64[/tex]

Then the interest will be

Interest = 11248.64 - 10000

Interest = 1248.64

The amount of interest is $1248.64.

C) A 4-year loan with a 3.75% interest rate compounded annually.  Then the amount will be

[tex]\rm A = 10000(1.0375)^4\\\\A = 11586.50[/tex]

Then the interest will be

Interest = 11586.50 - 10000

Interest = 1586.50

The amount of interest is $1586.50.

D) A 5-year loan with a 3.00% interest rate compounded annually. Then the amount will be

[tex]\rm A = 10000(1.03)^5\\\\A = 11592.74[/tex]

Then the interest will be

Interest = 11592.74 - 10000

Interest = 1592.74

The amount of interest is $1592.74.

More about the compound interest link is given below.

https://brainly.com/question/25857212

Please help ASAP

A dart is thrown at the board 100 times at random.

About how many times is it likely to land in the shaded area?

Answers

The number of times that it is likely to land in the shaded area will be 40 times out of 100 times.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

A dart is thrown at the board 100 times at random.

The number of times that dart hit the board is 40 times. Then the probability is calculated as,

P = 40 / 100

P = 2/5

P = 0.40 or 40%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Another KA question pls answer lol

Answers

Answer:

-40m + 24

Step-by-step explanation:

to answer this question you should distribute the -8 to all the digits

-8m + 24 -32m

then you can add like terms

-8m and -32m become -40m

-40m + 24 is the answer

The answer is 24 - 32n - 8m. Use the distributive property to multiply m−3+4n by −8.

Solve this problem using the part-to-whole method
_____________________________________________________
Sofia went to the bakery and bought 12 cupcakes. Out of the 12 cupcakes, she has 3 chocolate flavored. What is the percentage of chocolate cupcakes?

Answers

This would be 25%.

Reason:

If there are 12 total cupcakes and 3 out of them are chocolate. Then 3/12 cupcakes are chocolate. Simply this fraction to 1/4 -> 1/4 = 25% = .25 etc
Ok here is your answer

If angle three is equal to 6x+16 and angle seven is equal to 2x+2 , solve for x.

Answers

Answer:

-3.5

Step-by-step explanation:

6x + 16 = 2x + 2

4x = -14

x = -3.5

Step-by-step explanation:

3 and 7 are equal because they are corresponding angles

6x+16=2x+2

6x-2x=2-16

4x= -14

x= -3.5

The fifth-grade teachers returned to school after the summer vacation and found all of the students’ desks in the hallway. The custodians agree to put all of the desks into the fifth-grade classrooms and arrange them. How could the desks in each classroom be arranged using the following student enrollment numbers?

Answers

This problem seems it can be worked in a couple different ways. But, I believe arranging the desks in rows of 6 & as many columns as needed depending on the number would be the best solution.

Hector is using wood to build a dog house. Each wall is 4/7 of a yard tall and 3/5 of a yard wide. Know that the area of each wall is the base times the height, how many square yards of wood will he need to build 4 walls of equal size?

a
1 2/3
b
1 13/35
c
12/35
d
1 4/12

Q2
Which of the following is equivalent to 4/10 x 3/8?

a
4 ÷ (10 x 3) ÷ 8
b
(4 + 3) x (10 + 8)
c
(4 x 3) ÷ (10 x 8)
d
(4 - 3) ÷ (10 - 8)

Answers

Answer:

a

Step-by-step explanation:

b

What is the area of the figure below?

40[tex]mm^{2}[/tex]
88[tex]mm^{2}[/tex]
80[tex]mm^{2}[/tex]
96[tex]mm^{2}[/tex]

Answers

Answer:

88mm^2

Sorry for not answering it early I know this answer is probably useless for you now

Step-by-step explanation:

Ok, suppose we were to divide this figure into two parts figure 1 & 2

like this... the picture is goven above

So, we can clearly see that figure 1 is a square as it has equal dimensions

and figure 2 is a rectangle because it should given in ur question but this is the only way to find out the area

So in figure 1 the dimensions are already give that the square is 8mm and on the other hand in figure 2 it is a rectangle, here only length is given - 6mm but width is not given. To find out the width it's simple, since the base of figure 1and2 is 12mm and the base of figure 1 is 8cm we can subtract it to get there rest of the base that is the base of figure 2.

So we get,

Base of figure 2 = Total base - Base of figure 1 = 12mm - 8mm = 4mm

Now since we have the dimensions, we only have to find the area of those two figures and add both areas to get the total are of the whole figure.

Area of figure 1

Area of square = side*side = 8*8 = 64mm^2

Area of figure 2

Area of rectangle = length*breadth = 4*6 = 24mm^2

Total area of the figures

Area of figure 1 + Area of figure 2 = 64mm^2+ 24mm^2 = 88mm^2

If you draw a right triangle inside a sphere, which statement about the legs of the right triangle is TRUE?
Each leg of the right triangle is greater than the radius of the sphere.
Each leg of the right triangle is equal to the hypotenuse of the sphere.
Each leg of the right triangle is less than the radius of the sphere.
Each leg of the right triangle is equal to the radius of the sphere.

Answers

Answer:

The 3rd one if I'm not mistaken. Correct me if I'm wrong, I'm so so sorry if it's incorrect

Answer:

Each leg of the right triangle is equal to the radius of the sphere.

Step-by-step explanation:

I took the quiz and it was right

HELP ASAP!!! DUE IMMEDIATELY!!!
3. Find Each Angle Measure. you only need to say the answer and on which one. I will be giving extra points to those who answer and answer legitimately

Answers

Answer:

Angle ABD is 16 degrees and Angle DBC is 74 degrees

Step-by-step explanation:

Question 6. x+9+11x-3=90. 12x+6=90 -6 on both sides and 12x=84 divide each side by 12 and x= 7 angle ABD is x+9 so 7 +9= 16. Angle measure of ABD is 16 degrees. Measure of angle DBC is 11x -3 so 11 times 7=77. 77-3= 74. So the measure of angle DBC is 74 degrees and this answer is right because they both add up to be 90 degrees. Hope this helped! :)

Walt grew 10 centimeters in one year. He is now 1.6 meters tall. How tall was Walt one year ago in centimeters? (4 points)
150 centimeters
160 centimeters
1,500 centimeters
1,600 centimeters

Answers

1m=100cm
1.6m=160cm
160-10=150
He was 150cm one year ago

Answer:

CORRECT OPTION IS 150 CENTIMETERS OR YOU CAN SAY 1.5M :)

Step-by-step explanation:

GIVEN:

Walt grew 10 cm in one year

He is now 1.6m

SOLUTION:

We know that 1 m = 100cm

So 1.6 m = 160cm

So one year ago he was:

160 - 10 = 150cm

So he was 150 cm or 1.5 m one year ago.

i have this in my notes tho the numbers r different and im not the smart QwQ

Answers

Answer:

52 Winners

Step-by-step explanation:

The regular price of an item is s dollars. If the item is on sale for 25% off the regular price, which expression represents the sale price, in dollars, of the item?

Answers

Answer:

0.75s

Step-by-step explanation:

The expression would be 0.75s where 0.75 represents the cost of the item after the 25% sale, and s representing the regular cost of the item.

Hope this helps :)

help, question is below :)))

Answers

Answer:

$43 million

Step-by-step explanation:

Step 1. Turn the sentence into an equation (total = T)

15.4 million = 0.36 (T)

Step 2. Solve for T

15,400,000 / 0.36 = T

42,777,777.78 = T

$42.8 million ≈ $43 million (rounded)

The final answer rounded to the nearest million is $43 million. This makes sense since $15.4 was only 36% of this total. Checking our math, 36% of $43 million is $15.4 million!

Hope this helps :)

Its should be 43 million

Eric started at sea level. He descended 13.7 meters and then ascended 15.2 meters. Write an addition expression in the form Descent + Ascent to represent this situation. Then calculate the sum and explain what it represents.

(A) (
) +


(B) The sum of
represents Eric’s location compared to
Choose...

Answers

here is your picture for the question

Estimate Each quotient. 1. 12.5/5 2. 17.5/8 3. 23.7/6

Answers

Yes they said it right ^^^

Answer:

1.) 3

2.) 2

3.) 4

The average weight of a male African elephant is 15,000 pounds. How many tons is this?

Answers

15,000lbs to ton would be 7.5 tons.

To convert pounds to tons, divide it by 2,000.

So 15,000 divided by 2,000 is 7.5, which is why it is 7.5 tons.

Hank pays $186 a week to rent a room. Next week his landlord is going to raise his rent to $196 per week. What is the percent of increase?

Answers

Answer:

The percent of increase is 5%

Step-by-step explanation:

It’s 10% of the increase rent

A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry. Based on past data, how many of the next 65 pieces of jewelry sold should you expect to be bracelets?

Answers

Answer:

30

24 : 28 would equal 6 : 7

[tex]6/13[/tex] x 65 = 30

Use the proportion of the bracelets

The no. of bracelets are expected to sold are 30 pieces.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given that, A jewelry store recently sold 24 bracelets and 28 other pieces of jewelry, which is 6 : 7 so, for every 6 pieces of bracelets 7 pieces of other types of jewelry are sold.

∴ No. of pieces of bracelets expected to sold are,

= 6/(6 + 7)×65.

= (6/13)×65.

= 6×5.

= 30 pieces.

learn more about ratios here ;

https://brainly.com/question/13419413

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A worker uses exactly 4 screws and 7 bolts to put a metal desk together. If each metal desk requires the same ratio of screws to bolts, which statement is true?

A)The worker uses exactly 140 screws and 80 bolts to make 20 metal desks.

B)The worker uses exactly 80 screws and 140 bolts to make 20 metal desks.

C)The worker uses exactly 17 screws and 14 bolts to make 10 metal desks.

D)The worker uses exactly 14 screws and 17 bolts to make 10 metal desks.

Answers

Answer:

B

Step-by-step explanation:

screws:bolts

4:7 = 1

80:140 = 20

It costs $100 to join a fitness center, plus a monthly fee. You spent $700 last year at the fitness center. How much was the monthly fee? Write and solve an algebraic equation to determine the monthly fee.

Answers

Answer:

Monthly fee is $50

Step-by-step explanation:

100 + 12x = 700

12x = 600

x = 50

100 being the initial fee, 12x being the monthly fee (as there is 12 months in a year).

monthly fee is 50. so we started with 700 a year but since it cost 100 to join we minus it from 700 so it will be 600. and since there are 12 months in a year we divide 600 by 12 and that equals 50.

What is 6 5/7 rounded around the nearest whole number

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

5/7 is 0.714....

7 is greater that 5 so u round up to 7

Graph the image of △UVW after a reflection over the line y=-x

Will give brainliest if correct!

Answers

Answer:

Step-by-step explanation:

Rule: (x, y) → (-y, -x)

This means that the x, will now become y, and the y will now become x.

U (-7, -4) → (4, 7)

V (1, -4) → (4, -1)

W (-5, -9) → (9, 5)

U' (4, 7)

V' (4, -1)

W' (9, 5)

*View the attached graph*

Yellow is the original figurePurple is the figure after a reflection over the line y=-x

Hope this helps!

Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112.

Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal.

Find the number of pairs of shoes he must sell to meet his daily earnings goal.

Answers

Step-by-step explanation:

Equation to determine how many pairs of shoes :- S = 40 + 4.5x

Where,

S is Earnings

x is Shoe

⇒ 112 = 40 + 4.5x

⇒ 40 + 4.5x = 112

⇒ 4.5x = 112 - 40

⇒ 4.5x = 72

⇒ 4.5x/4.5 = 72/4.5

⇒ x = 16

[tex]\therefore [/tex] Roger must sell 16 shoes per day to meet his daily earning goal

Rodger must sell a total of 16 shoes

What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer:

114.9 meter

Step-by-step explanation:

v=(2/3)πr^3

diameter=2r

r=7.6/2

r=3.8

(2/3)π* (3.8)^3

~36.58π meter

if the teacher wants you to use 3.14 as π (like instead of writing the symbol of π), then 36.58*3.14=114.9 meter

Use the image to solve. I'm pretty sure it would be undefined but im not sure.
Thanks

Answers

Answer:

This line has a slope of 0, with the equation being y = -4

Step-by-step explanation:

  Slope can be found with change in y over change in x

[tex]\frac{-4--4}{-2--3} =\frac{-4+4}{-2+3}=\frac{0}{1} =0[/tex]

       Note: We can tell by just looking at the line it will have a slope of 0. A line straight up and down vertically is one with an undefined slope, but a horizontal line has a slope of 0 since there is no incline/decline.

can someone help please?

Answers

Answer:

A

Step-by-step explanation:

Because rational numbers always terminate

katie uses 2 cups of carrots in a casserole that serves 12 people. how many cups of carrots will she use to server 18 people?

1 cup

1 1/2 cups

3 cups

4 cups

Answers

Answer:

3 cups

Step-by-step explanation:

2/12 = 1/6

1/6 * 3 = 3/18

3 out of 18 cups, so 3 cups.

the correct answer is 3 cups :)
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