A class' test scores are normally distributed with a mean of 48 points and a standard 
deviation of 3 points. What percentage of test scores are are between 47 and 52 
points? Round to the nearest hundredth of a percent.

Answers

Answer 1

Answer:

53.94%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 48 points

σ is the population standard deviation = 3 points

For x = 47 points

z = 47 - 48/3

= -0.33333

Probability value from Z-Table:

P(x = 47) = 0.36944

For x = 52 points

z = 52 - 48/3

= 1.33333

Probability value from Z-Table:

P(x = 52) = 0.90879

Hence, the probability of test scores that between 47 and 52 points is calculated as:

P(x = 52) - P(x = 47)

= 0.90879 - 0.36944

= 0.53935

Therefore, the percentage of test scores that are between 47 and 52

points is given as:

0.53935 × 100

= 53.935%

Approximately to the nearest hundredth of a percent ≈ 53.94%


Related Questions

select the right answer

Answers

Answer:

Blurry po

Step-by-step explanation:

Pwede kunan nyu ulit

a nuber to be multiplied is called

Answers

Answer:

7×5 4×5 777⁷7777777777×7

Answer:

it is called factors

Step-by-step explanation:

Any help on this please ?

Answers

Answer:

x=35

Step-by-step explanation:

because the angles are next to each other they are supplementary, which makes the total of the angle 180 degrees.

the equation would be:

180=x+14 +4x -9

add the like terms

180=5x =5

then subtract 5 from both sides

175=5x

then divide five from both sides

x=35

What is the height of the pyramid ???

Answers:
A: 7cm
B: 5cm
C: 14 cm
D: 10 cm

Answers

Given:

[tex]m\angle ACD=45^\circ[/tex]

Point B is the center of the base.

Each side of the base = 10 cm

To find:

The height of the pyramid.

Solution:

It is given that the measure of each side of the base is 10 cm. It means the base is square. The length of the diagonal of a square is:

[tex]d=a\sqrt{2}[/tex]

Where, a is the side length of the square.

Putting [tex]a=10[/tex] in the above formula, we get

[tex]d=10\sqrt{2}[/tex]

It is given that point B is the center of the base. It means point B bisect each diagonal of a base. So,

[tex]BC=\dfrac{d}{2}[/tex]

[tex]BC=\dfrac{10\sqrt{2}}{2}[/tex]

[tex]BC=5\sqrt{2}[/tex]

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

In triangle ABC,

[tex]\tan (45^\circ)=\dfrac{AB}{BC}[/tex]

[tex]1=\dfrac{h}{5\sqrt{2}}[/tex]

[tex]5\sqrt{2}=h[/tex]

[tex]7.0710678=h[/tex]

Round the value to the nearest integer.

[tex]h\approx 7[/tex]

The height of the pyramid is about 7 cm. Therefore, the correct option is A.

What is the inverse fraction of f(x)=x/x-2

Answers

Answer:

[tex]inverse \ of \ f(x) : \frac{2x}{x-1}[/tex]

Step-by-step explanation:

[tex]y = \frac{x}{x-2}\\\\swap\ x\ and \ y\\\\x = \frac{y}{y-2}\\\\x(y -2) = y\\\\xy - 2x = y\\\\xy - y = 2x\\\\y(x-1)= 2x\\\\y = \frac{2x}{(x-1)}[/tex]

Step-by-step explanation:

Given two one-to-one functions f(x)f(x) and g(x)g(x) if

(f∘g)(x)=xAND(g∘f)(x)=x(f∘g)(x)=xAND(g∘f)(x)=x

then we say that f(x)f(x) and g(x)g(x) are inverses of each other. More specifically we will say that g(x)g(x) is the inverse of f(x)f(x) and

denote it by

g(x)=f−1(x)g(x)=f−1(x)

Likewise, we could also say that f(x)f(x) is the inverse of g(x)g(x) and denote it by

f(x)=g−1(x)

Given the function f(x)f(x) we want to find the inverse function, f−1(x)f−1(x).

First, replace f(x)f(x) with yy. This is done to make the rest of the process easier.

Replace every xx with a yy and replace every yy with an xx.

Solve the equation from Step 2 for yy. This is the step where mistakes are most often made so be careful with this step.

Replace yy with f−1(x)f−1(x). In other words, we’ve managed to find the inverse at this point!

Verify your work by checking that (f∘f−1)(x)=x(f∘f−1)(x)=x and (f−1∘f)(x)=x(f−1∘f)(x)=x are both true. This work can sometimes be messy making it easy to make mistakes so again be careful.

Explanation:

Setting y=f(x)

y=xx−2

this may be rearranged (intermediate steps shown) as follows

y(x−2)=x

x⋅y−2y=x

x⋅y−x=2y

x(y−1)=2y

x=2yy−1

This expression shows x in terms of y.

That is,

f−1(x)=2xx−1

Setting y=f(x)

y=xx−2

this may be rearranged (intermediate steps shown) as follows

y(x−2)=x

x⋅y−2y=x

x⋅y−x=2y

x(y−1)=2y

x=2yy−1

This expression shows x in terms of y.

That is, it is the inverse of function f(x).

That is,

f−1(x)=2xx−1

as required.

Pls help I don’t know how to do this

Answers

Answer:

the answer is D

BECAUSE it satisfied the conditions

The following graphs have no scales assigned to them. Which of them could
not possibly be density curves for a continuous random variable if they were
provided with the right scale?
Check all that apply.

A. Graph A
B. Graph B
C. Graph C
D. Graph D
E. Graph E

Answers

The graph A , graph C, could not possibly be density curves for a continuous random variable is they were provided with the right scale.

Given four graphs of different nature as options.

We are required to find the graph that is not continuous variable.

Continuous lines are those lines which when decreases, decreases with continuity and when increases,increases with continuity.

When we observe the graph A,graph C. In these graphs the value of function keeps increasing and decreasing a lot and not in continuity.

Hence graph A, graph C could not possibly be density curves for a continuous random variable is they were provided with the right scale.

Learn more about continuity at https://brainly.com/question/24637240

#SPJ1

Answer:

The answer is A, D, and E.

Step-by-step explanation:

The mean sustained wind velocity, v, can be determined by the equation v = 6.3 StartRoot 1013 minus p EndRoot, where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second? 103 millibars 194 millibars 363 millibars 910 millibars

Answers

Answer:

910 millibars

Step-by-step explanation:

According to the Question,

Given That, The mean sustained wind velocity equation [tex]v=6.3*\sqrt{1013-p}[/tex] And The mean sustained wind velocity is 64m/s (v=64) . where, p is the air pressure(in millibars).

Now, the air pressure at the center of a hurricane when the mean sustained wind velocity is 64 m/s is

[tex]64=6.3*\sqrt{1013-p}\\\frac{64}{6.3} = \sqrt{1013-p}\\[/tex]

on squaring both sides we get,

(10.1587)² = 1012 - p  ⇒ p = 908.80≈910millibar

p = 910millibars air pressure .

Answer: 910

Step-by-step explanation: Did the review and got it right

Sean and sarah spend $70 a month eating out how much money would they have after 15 years if they invested the money instead at 4 percent compounded monthly round your answer to the nearest hundredth

Answers

Answer:

Future Value= $17,170.12

Step-by-step explanation:

Giving the following information:

Monthly deposit (A)= $70

Interest rate (i)= 0.04/12= 0.0033

Number of periods (n)= 15*12= 180 months

To calculate the future value (amount saved), we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {70*[(1.0033^180) - 1]} / 0.0033

FV= $17,170.12

What is the y-intercept of the function f(x) = -4.2^x​

Answers

Answer:

[tex](0,-1)[/tex]

Step-by-step explanation:

The y-intercept always occurs when [tex]x=0[/tex]. To find the y-value of the y-intercept, substitute [tex]x=0[/tex] into your equation:

Given [tex]f(x)=-4.2^x[/tex], when [tex]x=0[/tex]:

[tex]f(x)=-4.2^0,\\f(x)=-(1)=-1[/tex]

Recall that [tex]n^0=1[/tex] for [tex]n\in \mathbb{R}[/tex]

Therefore, the y-intercept of this function is [tex](0, -1)[/tex].

write this expression using numbers and symbols two less then six times a number
a. 2n-6
b.2n+6
c.6n-2
d.6-2​

Answers

Answer:

d

Step-by-step explanation:

becaus ei did

PLEASE HELP!!! If the quadratic equation has the form y = ax 2and y = ax 2+ c, then their axis of symmetry must always be?

Answers

Answer:

axis of symmetry , x = 0

Step-by-step explanation:

For the quadratic equation of the form [tex]ax^2 + bx + c[/tex],

the axis of symmetry is the straight line  [tex]x =- \frac{b}{2a}[/tex]

( i)  Given equation y = ax² + 0x + 0

     b = 0, therefore axis of symmetry is x = 0

( ii ) Second equation y = ax² + 0x + c

    b = 0, therefore axis of symmetry is x = 0

Over 5 straight plays, a football team gained 8 yards, lost 4 yards, gained 7 yards, gained 3 yards, and lost 11 yards. What is the team's position no compared to their starting position? WILL GIVE BRAINLIEST ALSO BE CORRECT PLS THX

Answers

for this one, i’ll explain. set it up so it looks like this : 8-4+7+3-11, and then simplify.

can someone please help me with this i dont have much time left

Answers

Answer:

Step-by-step explanation:

sin A = opposite/hypotenuse

=5/13

cos A =adjacent/hypotenuse

=12/13

tan A =opposite/adjacent

=5/12

cosec A = hypotenuse/opposite

=13/5

sec A = hypotenuse/adjacent

=12/5

cot A = adjacent/opposite

=12/5

Solve for xx. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

50.8

Step-by-step explanation:

sin x = 6.2/8

sin x = 0.775

x = 50. 8

Bye , have a nice day ! :-)

Applying the sine ratio, sin ∅ = opposite/hypotenuse, the value of x, to the nearest tenth of a degree, is: 50.8°.

Hpw to Use the Sine Ratio?

When solving a right triangle involving the opposite side and hypotenuse, the sine ratio can be used which is, sin ∅ = opposite/hypotenuse.

Apply the sine ratio to find x

sin x = opp/hyp = 6.2/8

x = sin^(-1)(6.2/8)

x = 50.8°

Learn more about the sine ratio on:

https://brainly.com/question/2920412

#SPJ2

more help im dum lol

Answers

Answer:

32780

Step-by-step explanation:

Answer:

32,780

Step-by-step explanation:

It should be 30,000

I need help with angles in a triangle to find x
I need help with these. please :(

Answers

Answer:

[tex]a. \: \: x = {60}^{o} [/tex]

[tex]b. \: \: x = {24}^{o} [/tex]

Step-by-step explanation:

Hint :

Sum of angles = 180°

Simplify :

[tex]a. \: \: {x}^{o} + {40}^{o} + {80}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} + {120}^{o} = {180}^{o} [/tex]

[tex] {x}^{o} = {180}^{o} - {120}^{o} [/tex]

[tex] {x}^{o} = {60}^{o} [/tex]

[tex]b. \: 96+(x+12)+2x=180[/tex]

[tex]x+108+2x=180[/tex]

[tex]3x+108=180[/tex]

[tex]3x=180−108[/tex]

[tex]3x=72[/tex]

[tex]x = \frac{72}{3} [/tex]

[tex]x = 24[/tex]

Hope it is helpful...

Find the value of x.

Answers

Answer:

x = 82°

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°

x + 98° = 180° ( subtract 98° from both sides )

x = 82°

f(x) = x^2. What is g(x)?

Answers

Answer:

This becomes way easier if you have the knowledge of inverse functions.

Let me make this clear. You have f(x)=x2+1 f(x)=x2+1 and g(f(x))=1/(x2+4)g(f(x))=1/(x2+4). Now pause and think about the second function. The function is defined as g(f(x))g(f(x)), right. now what if there is some way that you could manipulate this function and some how change it to g(x)g(x). Or think about with what other function should you multiply f(x)f(x) [the function in g(f(x))g(f(x)) ] to get xx [so that the function would be g(x)g(x)]. It is f(x)−1f(x)−1 right.

So let us find f(x)f(x) inverse. f(x)=x2+1f(x)=x2+1 then f(x)−1=x−1−−−−−√f(x)−1=x−1 right [ just swipe the xx with f(x)

Como se encuentra la mediana?

Answers

Answer:

Para encontrar la mediana: Organice los puntos de datos de menor a mayor. Si el número de puntos de datos es impar, la mediana es el punto de datos intermedio de la lista. Si el número de puntos de datos es par, la mediana es el promedio de los dos puntos de datos intermedios de la lista.

Step-by-step explanation:

que tenga un lindo día

WILL MARK BRAINILIEST
are the angles corresponding, alternate interior, alternate exterior, or constructive interior​

Answers

Answer:

maybe it is corresponding

Which word describes the slope of the line?

O Positive

O Negative

O Zero

O Undefined​

Answers

Answer:

Option (1)

Step-by-step explanation:

Slope of a line is defined by the rule,

Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Here, Rise and Run of the line are positive.

Therefore, sign of the slope of the line will be positive.

Option (1) will be the correct option.

answer please? a girl needs help like right now:))

Answers

Answer:

No

Step-by-step explanation:

ACD should be one of them CAE

Convert 5 km 36 m into km

Answers

Answer:

5.036 km

Step-by-step explanation:

36  m ÷ 1000  = 0.036 km

5 km + 0.036 km = 5.036 km

That’s the answer becoz it correct

Pls help me solve pls show how you got the answer

Answers

Answer:

48 length units

Step-by-step explanation:

area of each squre = 9

side length of each square = sqrt(9) = 3

Length of each side of grid = 4*3 = 12

Perimeter of grid = 4 sides = 4*12 = 48 length units

ANSWER:

48length units

hope this helps

To make a profit, a company’s revenue must be greater than its operating costs. The company’s revenue is modeled by the expression 7.5x – 100, where x represents the number of items sold. The company’s operation costs are modeled by the expression 79.86 + 5.8x. How many items does the company need to sell to make a profit?

Answers

Answer:

106 items

Step-by-step explanation:

We are actually finding the "break even" point, where revenue = costs.

Set the revenue 7.5x - 100 equal to the costs 79.86 + 5.8x:

7.5x - 100 = 79.86 + 5.8x

Group the x terms together:    

1.7x  - 100  =  79.86

and then group the constants together on the right side:

  1.7x = 179.86

Solving for x, we get 105.8 (items)

Round this up:  106 items

The company will begin making a profit as production passes 106 items.

Answer:

first one : 7.5x -100 > 79.86 + 5.8x

second one : x > 105.8

last one : 106

Step-by-step explanation:

PLEASE ANSWER DOWN BELOW FOR POINTS

Answers

Why all ya questions be ma hard like dammm

Two complementary angles have measures 4x and x + 50. Find x.

Answers

Answer:

x =17

Step-by-step explanation:

Complementary angles add to 90

4x+ x+5 = 90

Combine like terms

5x+5 = 90

Subtract 5 from each side

5x+5-5 = 90-5

5x = 85

Divide by 5

5x/5 = 85/5

x =17

Given the following system of equations, what value of x makes the equations true?
x+y= 3.25
x-y= 1.75

Answers

x=2.5!! hope this helps
Answer: x=2.5 , y=0.75

Explanation:

x+y=3.25 => y=3.25-x ——(1)

x-y=1.75 ——(2)

Substitute equation (1) in (2) then,

x-(3.25-x)=1.75

x-3.25+x=1.75

2x-3.25=1.75

2x=1.75+3.25

2x=5

x=5/2=2.5

Substitute vale of x in equation (1) we get

y=3.25-2.5

y=0.75

Therefore, x=2.5 , y=0.75

The picture is above I’ll mark as brainliest.

Answers

Answer:

8

Step-by-step explanation:

32 ÷ 4 = 8

32 ÷ 8 = 4 :D

4x8 = 32

32 divided by 4 is 8. 8 is your answer.

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