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.

Answer:

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

Answer:

it would probably be around 1.8 or either 1.7

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]

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°

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!

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.

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).

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

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.)

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.

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 :)))

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

Answer:

78.5398163397

Step-by-step explanation:

5x5= 25xpi=78.5398163397

Answer:

565.7 cubic units

Step-by-step explanation:

Volume of cylinder=2πrh

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

                               =180x(22/7)

                               =565.7

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

Answer:

You need to post the angle too

Step-by-step explanation:

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]

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.

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

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

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.

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.

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.

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

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

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

:)

Answer:

3 and one-half

Step-by-step explanation:

½/4 = x/28

⅛ = x/28

x = 28/8

x = 7/2 = 3½

Answer:

39

Step-by-step explanation:

y=arctan(0.8)=38.65=39

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

Answer:

#1

Use Pythagorean:

Apply to given and find c:

#2

#3

We have:

We know that:

Find b:

So

#4

Given

We know that:

Find b:

So

#5

Given

We know:

From the cot we have:

Hypotenuse is:

So,