The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score on the test was 546 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score, to the nearest hundredth? Assume that the scores are normally distributed.

Answers

Answer 1

Answer:

638.16

Step-by-step explanation:

90% mark from z-score table is:

z = 1.28

We have also:

μ = 546 and σ = 72

According formula for z-score:

z = (x - μ)/σ

Substitute values and solve for x:

1.28 = (x - 546)/72x - 546 = 1.28*72x - 546 =  92.16x = 92.16 + 546x = 638.16

Related Questions

please help!! i’ll give you brainliest

Answers

Answer:

4

Step-by-step explanation:

Answer:

m = 5

Step-by-step explanation:

to one side length of 4 to 2, we divided by 2 so why not divide 10 by 2

10 ÷ 2 = 5

Please give me brainliest!

7 teachers chip in to buy Mr. Caulin Yankee Tickets. Together they paid $350 for the tickets. There was also a 6% shipping fee they had to pay. Part a) How much did they pay in total with the shipping fee?​ Part b) How much did ​each​ teacher pay for the tickets with the shipping fee? Please help I'm taking a test and we have to show the work

Answers

Answer:

$371

$53

Step-by-step explanation:

Given :

Number of tickets purchased = 7

cost of the 7 tickets = $350

Shipping fee = 6%

Total amount paid with shipping fee :

Cost of 7 tickets + (6% * cost of 7 tickets)

$350 + (0.06 * $350)

$350 + $21

= $371

Amount each teacher paid with shipping fee:

Total cost with shipping / 7

$371 / 7

= $53

can someone help me plz

Answers

Answer:

it would probably be around 1.8 or either 1.7

Sketch and solve the following triangles.

1. The legs of a right triangle measure 5cm and 12cm. What is the measure of its hypotenuse?

2. In ∆ABC and C is a right angle, if c = 12 and b = 10, find cos A.

3. In ∆ABC and C is a right angle, the opposite of ∠A = 12. if the hypotenuse = 13, find tan θ.

4. If sin A = [tex] \frac{15}{17} [/tex] What is tan A?

5. If cot θ = [tex] \frac{7}{24} [/tex] What is sec θ?

[tex]\large\tt{(Nonsense \: will \: be)} \\ \large \tt{( \: reported!)} [/tex]




Answers

Answer:

#1

Use Pythagorean:

c² = a² + b²

Apply to given and find c:

c² = 5² + 12²c² = 169c = √169c = 13 cm

#2

cos = adjacent / hypotenusecos A = b/ccos A = 10/12 = 5/6

#3

Assumed θ is ∠A, this is not too clear

We have:

a = 12c = 13

We know that:

tan A = a/b

Find b:

b = √c² - a² = √13²-12² = √25 = 5

So

tan A = 12/5

#4

Given

sin A = 15/17

We know that:

sin A = a/c, so a = 15 and c = 17tan A = a/b

Find b:

b = √c² - a²= √17²-15²= √64 = 8

So

tan A = a/b = 15/8

#5

Given

cot θ = 7/24

We know:

cot = adjacent / oppositesec = 1/cos = hypotenuse / adjacent

From the cot we have:

adjacent = 7, opposite = 24

Hypotenuse is:

√24² + 7² = √625 = 25

So,

sec θ = 25/7

A= pi2 and find the area of a circle with radius 5 cm. Use pi = 3.14

Answers

Answer:

78.5398163397

Step-by-step explanation:

5x5= 25xpi=78.5398163397

i need help with this question somebody please help !

Answers

Answer:

15

Step-by-step explanation:

f(x)=2x^2-3x+1

f(-2)=2*(-2)^2 -(3*-2)+1

=2*4-(-6)+1

=8+6+1

=15

f(-2)= 15

OPTION C is the correct answer

Please read the attachment i really need help with this its got all the info!

Answers

Answer:

[tex]200 \frac{43 \\ [/tex]

Which expression is equivalent to the given expression? -2x +8x -9 +4x +7x2 +2 A. B. C. D.

Answers

Answer:

The answer is "[tex]7x^2 +10x -7[/tex]"

Step-by-step explanation:

Let the given value is:

[tex]\to \bold{-2x +8x -9 +4x +7x^2 +2}\\\\[/tex]

Solving the given value:

[tex]\to7x^2 -2x +8x +4x-9 +2\\\\\to7x^2 +10x -7\\\\\to7x^2 +10x -7\\\\[/tex]

How many participants whose age fall between 31 to 33 years old?​

Answers

Note: Consider the below frequency distribution table of the ages of the participants is attached with this question.

Given:

The frequency distribution table of the ages of the participants.

To find:

The number of participants whose age fall between 31 to 33 years old.

Solution:

In the given frequency distribution table the frequencies represents the number of participants of corresponding age group.

From the given frequency distribution table of the ages of the participants, it is clear that the frequency for age class 31-33 is 5.

Therefore, there are 5 participants whose age fall between 31 to 33 years old.

The area of the base of a cylinder is 42 square inches and its height is 11 inches. A cone has the same area
for its base and the same height. What is the volume of the cone?

Answers

Mark Brainliest please

Volume of a cylinder: =∗2∗ℎ
V=π∗r2∗h


Volume of a cone: =∗2∗ℎ3
V=π∗r2∗h3


Where is the volume, ≈3.1416, r is the radius, and h is the height.

Cylinders and cones both have circle-bases, which means that the base area is the area of a circle: ∗2 , which means we will let =∗2

where B is the base area.

Which means that:

Volume of a cylinder: =∗ℎ

Volume of a cone: =∗ℎ3/3


If the cylinder and cone have the same base area and the same height, then the volume of the cone is always 1/3rd of the volume of the cylinder.

cone=cyl / 3


Given that the cylinder and cone have the same base area and the same height: If the volume of the cylinder is 43 cm3
, then the volume of the cone is exactly 1/3rd of 43 cm3, as shown below:

cyl=43 cm3


cone=43 cm3

=43/ 3 cm3
=14* 1/ 3 cm3

Thus the volume of the cone is 14* 1/3 cm3
.


is 4(y - 2) + 4 = 2(2y - 2) no solution , one solution or infinitely many solutions?

Answers

Answer: Infinitely many solutions

Step-by-step explanation:

Let's start solving by using the distributive property and simplifying.

[tex]4(y-2)+4=2(2y-2)\\(4)(y)-(4)(2)+4=(2)(2y)-(2)(2)\\4y-8+4=4y-4\\\\4y+-8+4=4y-4\\4y-4=4y-4[/tex]

As you can see they formed into the same equation. This means that any number can sub in for y giving this infinite solutions.

using the image,find angle x and y​

Answers

Answer:

x =55 degrees

y = 35 degrees

Step-by-step explanation:

We know that the distance from the center of the circle to the circumference is the radius

that means the triangle starting out from O is isosceles since two of the sides are radii and thus the angle of those sides are the same

Let us call one of the angles z

we know that the sum of the angles in a triangle is 180 degrees

That simply means;

80 + 2z = 180

2z = 180-80

2z = 100

z = 100/2

z = 50 degrees

So the angles at each upper end of the cyclic quadrilateral are;

x + 50 and y + 50

we know that the angles that face each other in a cyclic quadrilateral are supplementary

Thus;

95 + y+ 50 = 180

y= 180-95-50

y= 180-145

y = 35 degrees

Now, for x, the angle supplementary to the angle that faces x+ 50 equals x + 50

Thus;

x + 50 = 105

x= 105-50

x = 55 degrees

o
50°
C с
B
In the diagram, AC is a diameter of the circle with center O. IfmZACB = 50°, what is mZBAC?
OA.
50°
OB.
40°
O c.
80°
D.
1000

Answers

Answer:

B,∠BAC=40°

Step-by-step explanation:

diameter makes 90° on the circumference.

∠CBA=90°

∠ACB+∠CBA+∠BAC=180°

50+90+∠BAC=180

∠BAC=180-140=40°

Find the standard deviation of the data set shown. Round your answer to the nearest tenth.

4,5,9,1,2,5

The standard deviation is about_________

Answers

Mark Brainliest Please

Answer:

Answer is gicen in the image attached.

Step-by-step explanation:

Standard deviation (SD) measured the volatility or variability across a set of data. It is the measure of the spread of numbers in a data set from its mean value and can be represented using the sigma symbol (σ). The following algorithmic calculation tool makes it easy to quickly discover the mean, variance & SD of a data set.

For more help check Khan academy video

https://www.khanacademy.org/math/statistics-probability/displaying-describing-data/sample-standard-deviation/v/sample-standard-deviation-and-bias

Answer:

2.6

Step-by-step explanation:

To calculate standard deviation:

(1) Find the mean - 4.33

4 + 5 + 9 + 1 + 2 + 5 = 26     26 / 6 = 4.333... ≈ 4.33

(2) Subtract the mean from each value and square each result

[tex](4 - 4.33)^2 = 0.1089[/tex]     [tex](5 - 4.33)^2 = 0.4489[/tex]     [tex](9 - 4.33)^2 = 21.8089[/tex]

[tex](1 - 4.33)^2 = 11.0889[/tex]    [tex](2 - 4.33)^2 = 5.4289[/tex]    [tex](5 - 4.33)^2 = 0.4489[/tex]

(3) Find a new mean with the new values from the previous step

0.1089 + 0.4489 + 21.8089 + 11.0889 + 5.4289 + 0.4489 = 39.3334

39.3334 / 6 = 6.555566667

(4) Take the square root of the new mean.

[tex]\sqrt[]{x6.555566667} =2.560384086[/tex]

2.560384086 rounded to the nearest tenth is: 2.6

Find the x- and y-intercepts for the linear equation –3x + 4y = 24.

Answers

Answer:

x- intercept = - 8, y- intercept = 6

Step-by-step explanation:

To find the x- intercept let y = 0 and solve for x

- 3x + 4(0) = 24

- 3x = 24 ( divide both sides by - 3 )

x = - 8 ← x- intercept

To find the y- intercept let x = 0 and solve for y

- 3(0) + 4y = 24

4y = 24 ( divide both sides by 4 )

y = 6 ← y- intercept

Answer:

Step-by-step explanation:

-3x+4y-4y=24-4y

-3x=24-4y

-3x/4=24/4-4y/4

-3x/4=6-y

-3x/4+6=-y

I can't figure out the answer

Answers

3 should be the answer

Answer:

39

Step-by-step explanation:

y=arctan(0.8)=38.65=39

A boat travel 45 miles in three hours at this rate how many miles with a boat travel in half an hour

Answers

About 7.5 miles if you divide 45/3 is 15 so divide 15/2 which is 7.5

Answer:

7 1/2 miles per half hour

Step-by-step explanation:

First let's find how many miles you travel per hour. To find that, you divide 45 by 3. This gives you 15 miles per hour. Now we need to find how many miles in half an hour. To do this we are going to convert into minutes. We need to find out how many miles per minute. There are 60 minutes in 1 hour, so we will divide 15 by 60. That gives 0.25, or 1/4 mile per minute. So now that we know how many miles per minute, we can find out how many for half an hour. Half an hour is 30 minutes, so we are going to multiply 1/4 by 30. You will get 15/2. We need to make that a mixed number, and that gives us 7 1/2 miles per 30 minutes, or 7 1/2 miles per half hour.

I hope this helped :)

(edit: I just realized I did this the hard way. Sorry. The easier way would be to just divide 15 by 2 since it would take two halves of 15 to make the amount of miles per hour.)

No files just type in please and thank you

Answers

Tables--> 2

Each table--> (4*2) 8 boxes

Each box--> (8*6) 48 crayons

On each table--> 48/2

= 24 crayons on each table.

mark me brainliestttt :)))

y = 4 x − 1
y = − x + 4

Answers

Answer:

x=1 , y=3

Step-by-step explanation:

y = 4 x − 1

4(y = − x + 4)

y = 4 x − 1

4y= - 4 x +16

5y= 15

y=3

3=4x-1

+1     +1

4=4x

/4  /4

x=1

A car is traveling at a rate of 48 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 2 minutes? Do not round your answers.

Answers

Answer:

0.8 Miles per minute.  1.6 miles in 2 minutes

Step-by-step explanation:

It says 48 miles for 60 minutes. But we only want one minute, so we can divide 60 to get 1 and divide 48 by 60 to get 0.8 for 1 minute.

For the second question you want 2 munutes so you multily this rate by 2 (0.8*2) to get 1.6 miles.

Hope this helps

:)

how to use multiplication to find 4 divided by 1/8

Answers

Answer:

32, because when you are dividing by a fraction, you can multiply by the divident by reciprocal of the divisor.

Step-by-step explanation:

4 ÷ 1/8

4/1 ÷ 1/8

4/1 × 8/1

4 × 8

32

When you are dividing by a fraction, you can multiply by the divident by reciprocal of the divisor.

Answer:

32

Step-by-step explanation:

4

1

1

8

=(

4

1

)(

8

1

)

=

(4)(8)

(1)(1)

=32

What is the value of x in the proportion below?

StartFraction One-half over 4 EndFraction = StartFraction x over 28 EndFraction

Answers

Answer:

3 and one-half

Step-by-step explanation:

½/4 = x/28

⅛ = x/28

x = 28/8

x = 7/2 = 3½

Jane has a bag of candy.She gives 8 pieces to her friend. Then janes grandmother buys Jane 5 more pieces of candy than she had origanally.Now Jane has 27 pieces of candy.How many pieces of candy were in janes bag orignally

Answers

Answer:

40

Step-by-step explanation:

27+8+5=40 since 8 & 5 are the total amounts she took out of the original bag.

Answer:

Jane originally had 30 pieces of candy.

Step-by-step explanation:

27 plus the eight pieces she had before

gives you 35. Subtract it by the  5 pieces her grandma gave her and you get 30.

(Trigonometry) A ramp is needed to allow vehicles to climb a 2-foot wall. The angle of elevation for the vehicles to safely go up must be 30° or less, and the longest ramp available is 5 feet long. Can this ramp be used safely? Provide us with the angle x to the nearest 10th and a yes or no.

Answers

Answer:

The ramp is safe.

The unknown angle measure is, ([tex]23.6[/tex])

Step-by-step explanation:

Assume that the ground makes a (90) degree angle with the wall. This means that the formed triangle is a right triangle. Thus, one can use the right angle trigonometric ratios. These ratios are the following,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

The hypotenuse is the side opposite the right angle of a right triangle. This side's name doesn't change. However, the (opposite) and (adjacent) sides change names based on the angle one is using to describe them in the ratio.

In this case, one is given the side opposite to an angle, as well as the hypotenuse. However, one isn't given the measure of the angle. Thus, one should use the ratio of sine (sin) to find the unknown side. Let theta ([tex]\theta[/tex]) represent the measure of the unknown angle.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(\theta)=\frac{2}{5}[/tex]

Inverse operations,

[tex]\theta=sin^-1(\frac{2}{5})[/tex]

Simplify,

[tex]\theta=23.578178[/tex]

Since the value of ([tex]\theta[/tex]) is less than (30) degrees, the ramp can be used safely.

What is the volume of a cylinder with a base radius of 10 units and a height of 9 units?

Answers

Answer:

565.7 cubic units

Step-by-step explanation:

Volume of cylinder=2πrh

                               =2x(22/7)(10)(9)

                               =180x(22/7)

                               =565.7

565.7 - units of the cylinder Base

Find the value of LM and LN if M is between L and N.

LM = 7x + 4, MN = 20, LN = 10x

Answers

Answer:

LM = 20

LN = 160/7

Step-by-step explanation:

If M is between L and N, then LM = MN

Given

LM = 7x + 4, MN = 20, LN = 10x

7x+4 = 20

7x = 20 - 4

7x = 16

x = 16/7

LM = 16/7(7) + 4

LM = 16 + 4

LM = 20

LN = 10x

LN = 10(16/7)

LN = 160/7

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm, then the value of x is

Answers

Answer:

x = 8 cm

Step-by-step explanation:

Given that,

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.

We need to find the value of x.

In a square, all the sides are equal. So,

PQ = QR

2x +3 = 3x – 5

3+5 = 3x - 2x

x = 8

So, the value of x is equal to 8 cm.

What relationship do you notice between the total number of fish each has caught after each hour?

Answers

Answer:

Scott always has 2 more fish per hour or S=M+2

Step-by-step explanation:

5-3 = 2, 9-7 = 2,...

For any given hour, Scott has reeled in 2 more fish compared to Megan.

We can see this by subtracting Scott's amount and Megan's amount for any row.

Row One:  5-3 = 2Row Two: 9-7 = 2Row Three: 13-11 = 2Row Four: 17-15 = 2

Because any given row has the same difference, this tells us that the slopes of each are the same.

The equation for Megan is y = 4x-1 while Scott's equation is y = 4x+1

x = number of hours, y = number of fish caught

Lines with equal slopes indicate parallel lines. If these trends keep up, then Megan will never catch Scott (she'll always be 2 fish behind him).

Solve a / a-1 - a+5/a =0. Enter your solution as an improper fraction or as a decimal rounded to the nearest hundredth

Answers

Answer: [tex]1\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

The equation in terms of a is

[tex]\Rightarrow \dfrac{a}{a-1}-\dfrac{a+5}{a}=0\\\\\Rightarrow \dfrac{a}{a-1}=\dfrac{a+5}{a}\\\\\Rightarrow a^2=(a-1)(a+5)\\\\\Rightarrow a^2=a^2+4a-5\\\\ \Rightarrow 4a=5\\\\\Rightarrow a=\dfrac{5}{4}\ \text{or}\ 1\dfrac{1}{4}[/tex]

SOMEOM PLEASE GELP ME

Answers

Answer:

You need to post the angle too

Step-by-step explanation:

I believe the answer would be the the third one
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