Suppose the ages of cars driven by employees at a company are normally distributed with a mean of 8 years and a standard deviation of 3.2 years. What is the z score of a car that is 6 years old?

Answers

Answer 1

Z-scores are given by the formula [tex]z=(x-\mu)\div\sigma[/tex], where x is the data point you're using, μ is the mean and σ is the standard deviation. Using our information we have
z=(6-8)÷3.2=(-2)÷3.2=-0.625.

Answer 2

Answer:

z=(6-8)/3.2=(-2)/3.2=-0.625

Step-by-step explanation:

z=(6-8)/3.2=(-2)/3.2=-0.625

Related Questions

What is the equation of a line that is perpendicular to the line represented by y = 3/4 x - 1/2?

Answers

The slope of the given line is the x-coefficient, 3/4. The slope of a perpendicular line will be the negative reciprocal of that, -1/(3/4) = -4/3.

A line with a y-intercept of zero will do.
.. y = (-4/3)x

A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation. find the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating. round to the nearest thousandth if necessary.

Answers

65%= 0.65. The probability that all 11 selected graduates found a job in their chosen career would be (0.65)^11, because the probabilities are independent (one person getting a job in their field does not influence another person getting a job in their field). This comes out to 0.009 to the nearest thousandth.

The probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is [tex]0.009[/tex] (round to the nearest thousandth).

According to the question, at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.

At random 11 candidates are selected from the college so, the probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is-

[tex](0.65)^{11}=0.00875\\(0.65)^{11}\approx0.009[/tex]

Hence, the probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is [tex]0.009[/tex] (round to the nearest thousandth).

Learn more about probability here:

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which figure could be the intersection of two planes? A. ray B. line C. point D. segment

Answers

The answer to this question is (B)

Answer: The answer is B line

Step-by-step explanation:

BRIANLIESTTTTTTTTTTTT ASAP!

Answers

Step 7 is the only incorrect step. The denominator of the expression on the right should be 2a, not 4a.

Kaylee is painting a design on the floor of a recreation room using equilateral triangles. She begins by painting the outline of Triangle 1 measuring 52 inches on a side. Next, she paints the outline of Triangle 2 inside the first triangle. The side length of Triangle 2 is 75% of the length of Triangle 1. She continues painting triangles inside triangles using the 75% reduction factor. Which triangle will first have a side length of less than 26 inches?

Answers

Triangle 4. There you go

It was triangle 4 for my answer. You have different measurements but im sure its possibly the same answer. hope this helps!

Kelly is hanging shelves in her closet. She can buy shelves for $1.25 a foot. Kelly buys one 5-foot shelf and a shelf that measures 24 inches. The rest of her materials cost $90. How much change will she get it she pays with $100?

Answers

Hello!

There are 12 inches in a foot.

Kelly buys two shelves that measure 7 feet altogether, and the cost of each foot is $1.25.

Multiply the number of feet by the cost per foot.

7 × 1.25 = 8.75

Add this to the cost of the rest of her items.

90 + 8.75 = 98.75

Finally, subtract this from the $100 Kelly will use to pay.

100 - 98.75 = 1.25

ANSWER: Kelly will receive $1.25 change after her payment.

Please only math geniuses help, what is x+1/5y=-6 in slope intercept form?

Answers

y=-5x-30.

Subtract from each side (1/5y=-x-6 )
Then multiply by 5/1 on both sides to get rid of the 1/5 (y=-5x-30)

What type of association does the scatter plot show?

Answers

Scatter plots show how much one point or variable affects the other (or another point).

Answer:

wheres the scatter plot

Step-by-step explanation:

Find the common ratio geometric sequence please

Answers

recall that in a geometric sequence, you multiply the "current" one by the common ratio to get the "next" so, if you divide "next"/"current", the quotient is just the common ratio,

[tex]\bf \cfrac{27}{243}=\cfrac{3}{27}=\cfrac{\frac{1}{3}}{3}=\cfrac{\frac{1}{27}}{\frac{1}{3}}\implies \cfrac{1}{9}\impliedby \textit{common ratio}[/tex]

notice, all we did was, divide the value, by the number to its left-hand-side.

Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase or decrease per time period.

y=12(2)^t

Plz help!

Answers

See also https://brainly.com/question/8975313

The growth factor is 2.

The increase is (2 -1)*100% = 100% per period.

Mrs. Pine took tennis lessons. She traveled 15 miles one way at an average cost of $0.45 per mile. Her racket cost $84, balls cost 15.50, shoes cost $47.00, her warm-up was $32, and her shorts were on sale for $22. She paid 5% sales tax on her equipment and $25.00 per lesson for 10 lessons. Including the cost of round-trip travel for all 10 lessons, what did this cost?
A. $474.03
B. $486.53
C. $595.53
D. $608.03

Answers

The answer is C because ypi meed tp ad up the equipment witch will get you 210.525 an after that and then you take 30 X .45 yo get 13.5 after that u add 13.5 + 25 to get 38.5 and second to last you times it by 10 to get 385 and lastly you add the 210.525 + 385 = 595.525 rounded to 595.53

Answer:

$595.53

Step-by-step explanation:

o-ware

please help :)
.....................

Answers

There are web sites and videos that stand ready to show you how to bisect an angle.

The basic idea is that you draw an arc through both rays so that the points of intersection are the same distance from the vertex. Then, you construct a perpendicular bisector of the segment between those intersection points. That will bisect the angle.

For (3), you bisect each of the angles made by the original bisector. (1/2 of 1/2 = 1/4)

Carl puts 1.10$ in his penny bank every day in the month of July (31 days). His total savings was 55.00$ at the end of June. What is the best estimate for Carl's savings at the end of July? (no I did not make a typo)

Answers

Hello!

To estimate Carl's savings at the end of the month, we must round the $1.10 Carl puts in his bank to $1 as it is closest to $1, and then multiply that by the number of days in July (31).

1 × 31 = 31

A N S W E R:

The best estimate for Carl's savings at the end of the month of July is $31.

help with geometry please! will mark brainliest

Answers

1. The segment LO bisects one of the angles of the triangle shown in the figure attached, and divide the segment NM in two segments: NO and OM. Therefore, you must apply the Triangle Angle Bisector Theorem, which is shown below:

LN/LM=NO/OM

LN=10
LM=18
NO=4
OM=x (The value you want to find)

2. When you substitute this values in LN/LM=NO/OM, you have:

10/18=4/x
10x=(18)(4)
x=(18)(4)/10
x=72/10

3. Finally, you obtain:

x=7.2

The answer is: The value of "x" is 7.2

Nial is signing a lease for an apartment that rents for $1020/month. How much will he pay to move in if he must pay the first and last months' rent and a security deposit equal to 60% of his monthly rent?

2040

$2448

$2652

$2856

Answers

1020 + 1020 = 2040
%60 of 1020 is:612
2040+612=2652
so third one is true

Answer:

Option (c) is correct.

He pays $ 2652.

Step-by-step explanation:

Given : Nial is signing a lease for an apartment that rents for $1020/month.

We have to find the amount he pay to move in if he must pay the first and last months' rent and a security deposit equal to 60% of his monthly rent.

Since, given he must pay the first and last months' rent and a security deposit equal to 60% of his monthly rent.

Given monthly rent is $ 1020

That is 60% of his monthly rent = [tex]\frac{60}{100}\times 1020=612[/tex]

Thus, total amount he needs to pay is first month rent + last month rent + 60% of his monthly rent.

That is 1020 + 1020 + 612 = 2652.

Thus, He pays $ 2652.

Amare wants to ride a Ferris wheel that sits four meters above the ground and has a diameter of 50 meters. It takes six minutes to do three revolutions on the Ferris wheel. Complete the function, h(t), which models Amare's height above the ground, in meters, as a function of time, t, in minutes. Assume he enters the ride at the low point when t = 0. h(t) = · sin( t + ) +

Answers

Answer:

the correct answer is

h(t)= 25 * sin (1 pi t + (-0.5) pi) + 29

Step-by-step explanation:

The surface area of a cube is 150 cm2. what is the area of each face of the cube?

Answers

the area of each face is 25 cm

Answer:

6 25 5 these r the answers

Step-by-step explanation:

edge2021

A population of 55 foxes in a wildlife preserve doubles in size every 14 years. The function y equals 55 times 2 Superscript x , where x is the number of 14-year periods, models the population growth. How many foxes will there be after 28 years?

Answers

Since x is the number of 14-year periods, the first thing we do is divide 28 years by 14. 28/14=2. Now we use that in our function, [tex]y=55*2^x[/tex].

[tex]y=55*2^2=55*4=220[/tex]
There will be 220 foxes after 28 years.

Final answer:

To find the fox population after 28 years, we use the function y = 55 × 2^x, with x = 2 because 28 years is two 14-year periods. After calculating 2^2 and multiplying by 55, we find that there will be 220 foxes.

Explanation:

To calculate the number of foxes in a wildlife preserve after 28 years, given that the population doubles every 14 years, we start with the function y = 55 × 2^x, where x represents the number of 14-year periods.

Since 28 years is equivalent to 2 periods of 14 years, we will substitute x with 2:

Write down the equation substituting x with 2: y = 55 × 2^2.Calculate the exponent: 2^2 = 4.Multiply the base population by 4: 55 × 4 = 220.

Therefore, after 28 years, there will be 220 foxes in the wildlife preserve.

What is the set of all possible outcomes of a probability experiment?

Answers

So basically its all the numbers that are can be an answer for example if ur looking at a dice you set of all possible outcomes will be {1,2,3,4,5,6} because a dice has 6 possible out comes

Final answer:

The set of all possible outcomes of a probability experiment is called the sample space. It can be represented as a list, a table, or using set notation.

Explanation:

The set of all possible outcomes of a probability experiment is called the sample space. It is denoted by the symbol Ω. The sample space can be represented as a list, a table, or using set notation.

For example, if we are flipping a fair coin, the sample space would be {H, T}, where H represents heads and T represents tails.

In another example, if we were rolling a fair six-sided die, the sample space would be {1, 2, 3, 4, 5, 6}.

Learn more about Probability here:

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Select all of the following that are quadratic equations.

7x2 + 14x = 0
x3 - 3x2 + 1 = 0
5x - 7 = 0
x2 + 3x -5 = 0
x - 5 = 9x + 7
x2 - x = 3x + 7

Answers

A quadratic equation is one in which the highest exponent of x is 2.
[tex]7x^2+14x=0[/tex] is quadratic; the highest exponent is 2.
x³-3x²+1=0 is NOT quadratic. The highest exponent of x is 3, not 2.
5x-7=0 is NOT quadratic. The highest exponent of x is 1, not 2.
x²+3x-5=0 is quadratic; the highest exponent of x is 2.
x-5=9x+7 is NOT quadratic. The highest exponent of x is 1, not 2.
x²-x=3x+7 is quadratic; the highest exponent of x is 2.

The sum of two integers is 26. The larger of the two integer is 2 more than 3 times the smaller integer

Answers

if y is 16 the x is 2y+3=2•26+3= 51
i think this is the answer i forgot this but this is so easy.

Two integers are x and y
sum of two integers (x+y) = 26
x = 2 + 3y
plug that into equation above:
x + y = 26
(2+3y)+y = 26
4y +2-2 = 26-2
4y = 24
4y/4 = 24/4
y = 6
x = 2 + 3y = 2 + 18 = 20

What effect does replacing x with 6 have on the graph for the function f(x)?
F(x)=|x+3|-2

Answers

See attachments for your Answer

Answer:

The graph is shifted left 6 units

Step-by-step explanation:

Hope this helps all in need~!! :3 Have a wonderful day, and remember- You're the best! No one does you quite like you do<3

Jarrod walked 3 miles due north before turning left and walking 3.5 miles due west. He turned again and returned to his starting point by walking a straight path. What was the angle of the last turn? Round to the nearest degree.

Answers

see the attached figure

the angle of the last turn was angle alfa in the point C
tan(alfa)=3/3.5=0.8571
alfa=arctan(0.8581)=40.60°
Round to the nearest degree---------> alfa=41°

the answer is 41°

Please help thank you very much.

Answers

area = L x H
area = 12 * 3
area = 36 in^2
answer is C

Given: ABCD is a rectangle, AC ∩ BD = O, m∠ABD=30°, AC=16 in. Find BC.
I need the answer to this question ASAP!

Thanks!

Answers

∠BAC = ∠ABD = 30°
BC/AC = sin(∠BAC)

BC = AC*sin(∠BAC)
.. = (16 in)*sin(30°)
.. = 8 in

It is 8 inches as I have calculated

For the quadrilateral shown below, what is m∠a + m∠c ? A.)53 B.)137 C.)180 D.)233

Answers

I think it's C. I hope this helps!!

The value of the given expression m∠a + m∠c is 233 degrees and this can be determined by using the given data.

Given :

Quadrilateral ABCD.Angle B is 95 degrees.Angle D is 32 degrees.

The following steps can be used in order to determine the value of the given expression:

Step 1 - The sum of interior angles of the quadrilateral is 360 degrees.

Step 2 - According to the given data, angle B is 95 degrees and angle D is 32 degrees.

Step 3 - So, the value of the given expression can be calculated as:

[tex]\angle A+\angle B+\angle C+\angle D = 360[/tex]

[tex]\angle A+95+\angle C+32 = 360[/tex]

Step 4 - Simplify the above expression.

[tex]\angle A+\angle C = 360-95-32[/tex]

[tex]\angle A+\angle C = 233[/tex]

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/6321910

Answer for function

Answers

3, -6, 2 will be your three roots

What is the solution of 3+ (x-2)/(x-3) <=4

X<3
X<=3
X>3
X>=3

Answers

I believe that it's x<3

Answer:

A. X < 3.

Step-by-step explanation:

We have the equation, [tex]3 + \frac{x-2}{x-3} \leq 4[/tex]

Adding -4 on both sides, we get,

[tex]\frac{x-2}{x-3} -1 \leq 0[/tex]

i.e. [tex]\frac{x-2-x+3}{x-3} \leq 0[/tex]

i.e. [tex]\frac{1}{x-3} \leq 0[/tex]

So, we have the inequality [tex]\frac{1}{x-3} \leq 0[/tex].

Its critical points are given by x-3 = 0 which implies x = 3.

Now, we will find the region among the two [tex]( - \infty , 3 )[/tex] and [tex]( 3 , \infty )[/tex] that satisfies the inequality [tex]\frac{x-2}{x-3} -1 \leq 0[/tex]

Substitute x = 2 in the above inequality, we get -1 < 0, which is true. Again, substitute x=4 gives 1 < 0, which is false.

As x=4 lie in the region [tex]( 3 , \infty )[/tex] , it cannot be the solution of the given inequality.

So, the solution of the given inequality is the region [tex]( - \infty , 3 )[/tex] .i.e. x < 3.

Hence. option A is correct.

A large statue is in the shape of a square pyramid. Each side of the base of the square pyramid is 723 feet long and the height is 341 feet.

What is the volume of the statue?

___ft³

Answers

Simple. First write down the equation.
(a^2)h/3
Next, plug in the variables you know.
(723^2)341/3
(522,729)(113.67)
= 59,416,863 is your answer.
Hope this helps!

Answer:

The volume is[tex]=59,416,863ft^3[/tex]

Step-by-step explanation:

Given A large statue is in the shape of a square pyramid. Each side of the base of the square pyramid is 723 feet long and the height is 341 feet.

Base edge=a=723 feet.

Height=h=341 feet

As, [tex]\text{Volume of square pyramid is=}(a^2)\frac{h}{3}[/tex]

Substitute the values of a and h, we get

[tex]V=(723^2)\frac{341}{3}[/tex]

[tex]=(522,729)(113.67)[/tex]

[tex]=59,416,863ft^3[/tex]

What is 38.224 rounded to the nearest whole number?

Answers

Hello,

Here is your answer:

The proper answer to this question is "39".

8 is greater than 5 therefore it rounds up one.

Your answer is 39.

If you need anymore help feel free to ask me!

Hope this helps!

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