Greg's points per basketball game are normally distributed with a standard deviation of 4 points. If Greg scores 43 points, and the z-score of this value is 4, then what is his mean points in a game? Do not include the units in your answer. For example, if you found that the mean is 33 points, you would enter 33.

Answers

Answer 1

Using the normal distribution, it is found that his mean number of points in a game is of 27.

Normal Probability Distribution

In a normal distribution with mean $\mu$ and standard deviation $\sigma$, the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, we have that the parameters are as follows:

$\sigma = 4, X = 43, Z = 4$.

We have to solve for the mean $\mu$, hence:

$Z = \frac{X - \mu}{\sigma}$

$4 = \frac{43 - \mu}{4}$

$43 - \mu = 16$

$\mu = 27$

His mean number of points in a game is of 27.

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Related Questions

Two hens can lay 2 eggs in 2 minlutes if that is the maximum speed how many hens can lay 500 eggs in 500 minutes

Answers

If two hens can lay 2 eggs in 2 minutes at their maximum speed, it means each hen lays one egg in 2 minutes. Therefore, in 500 minutes, each hen would lay 250 eggs (500 minutes divided by 2 minutes per egg).

To determine how many hens are needed to lay 500 eggs in 500 minutes, we divide 500 eggs by the number of eggs laid by each hen in 500 minutes. In this case, 500 eggs divided by 250 eggs per hen equals 2 hens.

So, you would need two hens to lay 500 eggs in 500 minutes at their maximum speed.

Help me find the linear function of question 9 please

Answers

them Explanation

To find the linear equation, we pick two points and insert into the equation below;

$\begin{gathered} y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ \text{where x}_1=0;y_1=-3_{} \\ x_2=6,y_2=0 \end{gathered}$$\begin{gathered} y-(-3)=\frac{0-(-3)}{6-0}(x-6) \\ y+3=\frac{3}{6}(x-0) \\ y+3=\frac{x}{2} \\ 2y+6=x \\ 2y-x=-6 \end{gathered}$

Answer:

$2y-x=-6$

4⁄6 + 2⁄4 + 3⁄5 = What is the answer

Answers

Answer:

53/30 or.... 1 whole number 23/30

Answer:

50/30

Step-by-step explanation:

2/3 + 1/2 + 3/5

20 + 15 + 18/ 30

= 50/30

After a 75% reduction, you purchase a new DVD player on sale for $136. What was the original price of the DVD player

The original price was of the DVD player

Answers

Answer:

$544

Step-by-step explanation:

To determine the original price of the DVD player considering that you know that it had a 75% reduction, you can use a rule of three as the price of $136 represents 25% of the original price and with this you can calculate the price that represents 100%:

$136 → 25%

x ← 100%

x=(136*100)/25=$544

According to this, the answer is that the original price of the DVD player was $544.

What are the coordinates of the vertices of the final image? A. P’(12, -6), Q’(8, -7), R’(4, -4), and S‘(7, -1) B. P’(12, 8), Q’(8, 9), R’(4, 6), and S‘(7, 3) C. P’(-12, 6), Q’(-8, 7), R’(-4, 4), and S‘(-7, 1) D. P’(12, 6), Q’(8, 7), R’(4, 4), and S’(7, 1)

Answers

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

find the exact value of tan A in simplest radical form

Answers

Answer:

they might not be the same numbers but you can do it with all of the step-by-step explanations I gave you just with the numbers you have

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AB represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

AC represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine tan m∠A, we would apply the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan A = √32/2 = (√16 × √2)/2

Tan A = (4√2)/2

Tan A = 2√2

Which decimal number is equal to
2/4?

Answers

Answer:

Step-by-step explanation:

2/4 2 goes into 2 1 time and 2 goes into 4 2 times so therefore 2/4 is = 1/2

1/2= .5

1.2.PS-9
Which numbers are rational?
8
11
7, 3.41, 0,
2
-9
3'
Select all that apply.

Answers

9514 1404 393

Answer:

all except π are rational numbers

Step-by-step explanation:

Any ratio of integers, terminating decimal, or repeating decimal is a rational number. Pi (π) is represented symbolically because it cannot be written exactly. It is an irrational number.

All of the numbers listed except π are rational.

beinggreat78, you're looking for this

Answers

Answer:

z = 6

9 followed by a lowercase number, whether it's x, y, or z usually always means add 1 or multiply by an unknown number. In this case, we are multiplying.

$9 * 45 = 405(wrong)\\\\9 * 63 = 567(wrong)\\\\9 * 7 = 63(wrong)\\\\9 * 6 = 54(correct)$

That said, the answer is six.

PLEASE HURRY!!!!II WILL MARK BRAINLEST

Evaluate expression for the given variable

8/t;t = 4

PLEASE HELPPP TYSMM!!!!!!

Answers

Answer:

Step-by-step explanation:

To evaluate the expression substitute t = 4 into the expression, that is

8/t = 8/4 =2

Answer:8/2=4

Step-by-step explanation:

Find dy/dx by implicit differentiation.

x^2/x+y=y^2+7

Answers

Answer:

dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)

Step-by-step explanation:

x² / (x + y) = y² + 7

x² = (x + y) (y² + 7)

Take derivative of both sides with respect to x. Use power rule, product rule, and chain rule.

2x = (x + y) (2y dy/dx) + (y² + 7) (1 + dy/dx)

Simplify.

2x = (2xy + 2y²) dy/dx + y² + y² dy/dx + 7 + 7 dy/dx

2x = (2xy + 3y² + 7) dy/dx + y² + 7

2x − y² − 7 = (2xy + 3y² + 7) dy/dx

dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)

James had 568 books to put into 9 boxes. How many books were in each box? Where there any book left that needed another box?

Answers

Answer:

Step-by-step explanation:

yes when dividing it's a round off number so that means that there's more left over

Write the equation of a circle with centier (-5, -1) and a radius with endpoint (3,-2) on the circle.

Answers

The equation of the circle is (x + 5)² + (y + 1)² = 65 given that the center of the circle is (-5, -1)

Calculating the equation of the circle

To write the equation of a circle, we need to use the formula:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle, and r is the radius.

We are given that the center of the circle is (-5, -1), so we can substitute these values into the equation:

(x - (-5))² + (y - (-1))² = r²

(x + 5)² + (y + 1)² = r²

We are also given that the endpoint (3, -2) is on the circle, so we can use this information to find the radius.

The distance between the center and the endpoint is equal to the radius, so we can use the distance formula:

r² = (x + 5)² + (y + 1)²

r² = (3 + 5)² + (-2 + 1)²

r² = 65

Now we can substitute this value of r into the equation we found earlier:

(x + 5)² + (y + 1)² = 65

Therefore, the equation of the circle is (x + 5)² + (y + 1)² = 65.

Answers

a stick of butter weighs 1/4 a pound. you do 13x1/4
you get 3 1/4 pounds as a mixed number, 3.25 pounds as a decimal, and 13/4 pounds as a fraction. Hope this helped!

A Ferris wheel at a carnival has a diameter of 72 feet. Suppose a passenger is traveling at 5 miles per hour. (A useful fact: =1mi5280ft.)
(a) Find the angular speed of the wheel in radians per minute.
(b) Find the number of revolutions the wheel makes per hour. (Assume the wheel does not stop.)

Answers

a) The Ferris wheel has an angular speed is 12.222 radians per minute.

b) The Ferris wheel makes 116.712 revolutions in an hour.

How to understand and analyze the kinematics of a Ferris wheel

Kinematics is a branch of mechanical physics that studies the motion of objects without considering its causes. In other words, kinematics studies displacements, velocities and accelerations in translation, rotation and combined motion. In this case we find a Ferris wheel rotating around its axis at constant rate.

a) Then, the angular speed (ω), in radians per minute, is determined by the following product:

ω = v / R

Where:

v - Linear velocity at the rim of the Ferris wheel, in feet per second.R - Radius of the Ferris wheel, in feet.

Please notice that the length of the radius is the half of the length of the diameter.

If we know that v = 5 mi / h and R = 36 feet, then the angular speed of the wheel is:

ω = [(5 mi / h) · (1 h / 60 min) · (5280 ft / 1 mi)] / [(0.5) · (72 ft)]

ω = 12.222 rad / min

The angular speed is 12.222 radians per minute.

b) A revolution is equal to an angular displacement of 2π radians and an hour is equal to 60 minutes. Then, we can derive the number of revolutions in an hour by dimensional analysis:

n = (12.222 rad / min) · (1 rev / 2π rad) · (60 min / h)

n = 116.712 rev / h

There are 116.712 revolutions in an hour.

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I can’t seem to figure it out

Answers

The dimensions of the circles are as follows

1. Chord AB = 9

2. Chord FG = 6

3. Chord KM = 8

4. Arc length XY = 105 degrees

5. Arc length TU = 85 degrees

6. Arc length TU = 130 degrees

7. QS is the diameter because it bisects the chord and perpendicular to the chord

8. QS is not a diameter because it does not bisect the chord

9. QS is not a diameter because it is not perpendicular the chord

What is the relationship between chord and intercepted arc

Chords with matching measurements share congruence due to being equidistant from the circle's center.

Congruent radii stem from each chord midpoint, indicating two equivalent right triangles are created; therefore, their respective intercepted arcs also equal in degree measurement.

Therefore, if two chords possess uniform lengths, they will intercept equal degrees along the circle.

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What is the slope of the line in the graph below? Show your work. PLEASE HELP PLEASE

Answers

Answer:

5/2

Step-by-step explanation:

The line crosses two points: (0,1) and (5,3)

You can then use the slope-point formula to find the slope:

(x1 - x2)/(y1 - y2) =

(0 - 5)/(1 - 3) =

-5/-2 =

5/2

Answer:

The slope of the line is 2/5

Step-by-step explanation:

Start counting where the y-intercept is. The y-intercept is at (0,1). The line is positive since it is increasing from left to right, so you need to count up and then to the right in order to find the slope. You need to find a point where the line intercepts a coordinate point directly on the line. If you look at the point (5,3) it is directly on the intersection that runs up and down. Start at 1 and count 2 up and 5 to the right. You will end up on the point (5,3). Hope this helps. Ask more questions if you need to

IM TIMED What is 3.71 simplified!!!!!!!

Answers

Answer:

if its asking for the tenths place its 3.7

if its asking for the ones place its 4

Step-by-step explanation:

the degree of 3x to the power of 2 y to the power of 4 + 7x to the power of 2 y to the power of 2 -8 is

Answers

Answer:

degree = 6

Step-by-step explanation:

3x^2 y^4 + 7x^2y^2-8 = 6

Answers

Answer:

39 ckfiffiofods9odoxdo

There are 3,072 books in the school library. If 96 students team up to read all the books and each student reads the same number of books, how many books will each student need to read? *

Answers

Answer:

Step-by-step explanation:

Equivlency:

3072/96 =32

Use the graph of g(x) to answer the following question.
The graph of g(x) is a translation of f(x) = x^2
Write the equation for g(x) in vertex form.

Answers

The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

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I need help finding this out whoever solves it will get brainliest

Answers

Answer:

10 pizzas

Step-by-step explanation:

3/8 = 3oz

3 cups= 24 oz

24/3=8

3/4=6oz

6/3=2

8+2=10

PLEASE HELP ASAP!!!
I'd really appreciate the help, thanks in advance.

The questions below can be solved using the relation between angular size, physical size and distance. For the questions below, provide a complete solution with explanation.

1. Find the Sun's diameter. The sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. What is the sun's approximate physical diameter? Compare your answer to the actual value of 1 390 000 km.

2. Find a Star's Diameter. The supergiant star Betelgeuse (in the constellation Orion) has a measured angular diameter of 0.040 arcsecond from Earth and a distance from Earth of 720 light-years. What is the actual diameter of Betelgeuse? Compare your answer to the size of our Sun and the Earth-Sun distance.

Answers

The physical diameter of the sun will be 1309000km and the percentage of difference between the diameters will be 5.8%.

How to calculate the diameter?

From the information, the sun has an angular diameter of about 0.5° and an average distance from the Earth of about 150 million km. The angular diameter in radians will be:

= 0.5π / 180

= 0.008727 radians

Distance from the sun = 150 × 10^6

The physical diameter of the sun will be:

= 150 × 10^6 × 0.008727

= 1309000km

The difference between the diameters will be:

= 1390000 - 1309000

= 8.1 × 10^4.

The percentage of difference will be:

= (8.1 * 10^4) / 1390000 × 100

= 5.8%

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solve pls brainliest

Answers

Answer:

33/36

Step-by-step explanation:

33/35

Step-by-step explanation:

Dividing 11/14 by 5/6 is the same as multiplying by 6/5 ( reciprocal)

In ΔFGH, h = 840 inches, � m∠F=93° and � m∠G=49°. Find the length of g, to the nearest 10th of an inch.

Answers

To find the length of side g in triangle FGH, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles in a triangle.

Let's use the formula:
g / sin(G) = h / sin(H)

Substituting the given values:
g / sin(49°) = 840 / sin(93°)

Now, we can solve for g. Rearranging the equation, we have:
g = (sin(49°) * 840) / sin(93°)

Using a calculator, we can evaluate this expression to find the approximate length of g.

g ≈ (0.7502 * 840) / 0.9998
g ≈ 630.168 / 0.9998
g ≈ 630.227

Therefore, the length of side g, rounded to the nearest tenth of an inch, is approximately 630.2 inches.

Rewrite the quadratic equation in the form y= a(x - h)2 + k.

y = 5x2 – 30.3 + 95

Y= ?

Answers

Y= 74.7

Lmk if this was right or not.

50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

It would take 21 weeks for the population to surpass 16,000.

The insect population P in a certain area fluctuates with the seasons and is estimated by the function P = 15,000 + 2500 sin(πt/52), where t is given in weeks.

For the population to surpass 16,000, we can set up the following equation:

15,000 + 2500 sin(πt/52) = 16,000

Subtracting 15,000 from both sides, we get:

2500 sin(πt/52) = 1000

Dividing both sides by 2500, we get:

sin(πt/52) = 0.4

We know that sin(πt/52) is positive when t is between 0 and 52 and between 104 and 156 since sine is positive in the first and second quadrants. Therefore, we can write:

πt/52 = sin⁻¹(0.4)

Multiplying both sides by 52/π, we get:

t = (52/π) sin⁻¹(0.4)

Using a calculator, we can evaluate sin⁻¹(0.4) to be approximately 0.4115 radians.

t = (52/π) (0.4115)

t = 21.02

Therefore, it would take 21 weeks for the population to surpass 16,000.

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Evaluate 26 +2⁶

A) 52

B)90

C)128

D) 481,890,304

Answers

Answer:

the answer is B

Step-by-step explanation:

2^6=64

64+26=90

Answer:

B) 90

Step-by-step explanation:

26 + 2⁶

Expand the power.

26 + (2 * 2 * 2 * 2 * 2 * 2)

Combine the twos.

26 + (4 * 4 * 4)

Combine two of the fours.

26 + 16 * 4

Multiply 16 and 4.

26 + 64

Add.

Which division problem is modeled in the image? A) 2 ÷ 6 = 3 B) 2 ÷ 3 = 6 C) 3 ÷ 2 = 6 D) 6 ÷ 3 = 2 the image has 3 circles an 2 stars in each circle

Answers

Answer:

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

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