The scores on a standardized exam are normally distributed with a mean of 400 and a standard deviation of 50.

Approximately 40% of the scores are greater than which score?

370

387

413

430

Answers

Answer 1

Using the normal distribution, it is found that approximately 40% of the scores are greater than 413.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, we have that the mean and the standard deviation of the scores are given by:

[tex]\mu = 400, \sigma = 50[/tex]

Approximately 40% of the scores are greater than the 60th percentile, which is X when Z = 0.253.

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.253 = \frac{X - 400}{50}[/tex]

X - 400 = 50(0.253)

X = 412.65.

Rounding up, approximately 40% of the scores are greater than 413.

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Answer 2

Answer:

413

Step-by-step explanation:

I took the test k12


Related Questions

Joy is making hand-painted ornaments for
her family this year. Yesterday, she made 2
ornaments in 6 hours. This weekend, she
plans to spend a total of 15 hours making
ornaments.
If Joy works at the same rate, how many
ornaments will she make this weekend?

Answers

Answer:

1 ornament per 3 hours

in 15 hours she will have 7.5 of them done

Answer:

5 Ornaments

Step-by-step explanation:

First, we take into account that 24 hours are in one day. We then make the equation 6/24, which tells us that she can make 8 ornaments in 24 hours. That's not the answer we need though.

We will divide 2 by 6 = 0.33

We can take that and multiply it by 15 hours to get 5 ornaments total.

Hope this answer helped u out :D

Given: f(x)=x²+1 and f(g(x)) = 4x² + 4x +2. Find g(x).

Answers

Answer:

g(x)=2x+1

Step-by-step explanation:

(2x+1)^2+1=4x^2+4x+2

An icicle drips at a rate that can be represented by the function f(x) = −x2 11x − 18, where 0 ≤ x ≤ 10 and x is the number of hours after the sun has risen. when f(x) is a negative number, the icicle is not dripping. determine the values when the icicle starts and stops dripping. x = 2 and x = 9 x = −2 and x = 9 x = 2 and x = −9 x = −2 and x = −9

Answers

Quadratic functions are functions that have a leading degree of 2. The values when the icicle starts and stops dripping  is at x = 2 and 9

Application of intercepts of a function

Quadratic functions are functions that have a leading degree of 2.

Given the equation that represents the rate at which an icicle drips below:

f(x) = −x^2 + 11x − 18

If the icicle is not dripping at the point where f(x) is a negative number, hence point where the icicle starts and stops dripping is the point where f(x) =0

Substitute

−x^2 + 11x − 18 = 0

x^2 - 11x + 18 = 0

x^2 - 9x - 2x + 18 =0
x(x - 9)-2(x-9) = 0
x = 2 and 9

Hence the values when the icicle starts and stops dripping  is at x = 2 and 9

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HELP!!!!!
50 POINTS!

Answers

Answer:

true

false

false

false

Step-by-step explanation:

false 0,0  blue dot go right.                            

Can anyone solve this correctly?

Answers

Answer:

J. x = 1

Step-by-step explanation:

Write an equation based on the image of the scales.

3x + 6 = 9

Subtract 6.

3x = 3

Divide by 3.

x = 1

If you haven't learned to solve equations yet, the same thought process can be used with the scale image. The scales are balanced. To keep them balanced, remove 6 of the pieces marked "1" from BOTH sides of the scale. Then the scale will have three x's on one side and three "1"'s on the other side. So each x has to be one "1".

I give 20 points!!!
If I get 50 euros per month, how many months I need to buy a product for 640 euros

Answers

13 months

50+50+50+50+50+50+50+50+ 50+50+50+50+50= 650 which is enough to buy the product

kindly answer this please​

Answers

Answer:

See below ~

Step-by-step explanation:

13.

∠2 and ∠5 are adjacent as they lie right next to ∠1C. Angles 2 & 5

14.

∠5 will form a linear pair as they add up to 180°C. Angle 5

15.

∠2 = 180° - 70° - 50°∠2 = 60°B. 60°

16.

A. ∠RVT and ∠RVU

Answer:

13. C. Angles 2 and 5, becuase adjacent means the angles are touching and right next to each other, and three is too far away and is not buffering up to angle 1.

14. That would be C. angle 5, because linear pair angles are angles that share a line and would add up to 180, in this case only angle 5 does that.

15. B. 60 degrees, to find out angle 2, you first need to know the information that a line=180 degrees, and all three angles share a single line being line TQ. so all you have to do, is add up the angles you know, so 70+50=120, and then subtract them by 180, giving you the remainder that is unkown, in this case being angle 2, so 180-120=60.

16. A. angles RVT and angle RVU, remember, ajacent angles are angles that share a side and buffer each other, in which angles RVT and RVU are the only ones that do that.

can someone please help me with #1, -a-b pleaseee

Answers

Answer:

A - Isosceles

B - 9

Step-by-step explanation:

(20x - 10)

factor out the 10 so now it is

10(2x - 1)

simplify 20x - 10

Pat, Jo, Al, and Dan are finalists in a talent contest. How many different ways can Pat, Jo, Al, and Dan finish in first, second, third, and fourth place in the contest?

23 ways
10 ways
24 ways
12 ways

Answers

Answer:

24 ways!

Step-by-step

Pat, Jo, Al, Dan

Pat, Al, Dan, Jo

Pat, Dan, Jo, Al

Pat, Jo, Dan, Al

Pat, Al, Jo, Dan

Pat, Dan, Al, Jo List all permutations beginning with Pat.

Jo, Al, Dan, Pat

Jo, Dan, Pat, Al

Jo, Pat, Al, Dan

Jo, Al, Pat, Dan

Jo, Dan, Al, Pat

Jo, Pat, Dan, Al List all permutations beginning with Jo.

Al, Dan, Pat, Jo

Al, Pat, Jo, Dan

Al, Jo, Dan, Pat

Al, Pat, Dan, Jo

Al, Dan Jo, Pat

Al, Jo, Pat, Dan List all permutations beginning with Al.

Dan, Pat, Jo, Al

Dan, Jo, Al, Pat

Dan, Al, Pat, Jo

Dan, Jo, Pat, Al

Dan, Pat, Al, Jo

Dan, Al, Jo, Pat List all permutation beginning with Dan.

There are 24 ways for Pat, Jo, Al, and Dan to finish in first, second, third, and fourth place in the contest.

Using permutations, they are 24 different ways Pat, Jo, Al and Dan finish  in first, second, third, and fourth place in the contest.  

What is permutations?

A permutations is "a mathematical calculations of the number of ways  a particular data can be arranged".

According to the question,

Pat, Jo, Al and Dan finish  in first, second, third, and fourth place in the contest.

Formula for Permutation [tex]nP[/tex]ₓ = [tex]\frac{n!}{(n-x)!}[/tex]  where 'n' number of items set and 'x' is the item taken for Permutation.

In order to find number of ways first, second, third, and fourth place are arrangement or Permutation in the contest.

First, second, third and fourth are four places can be obtained by Pat, Jo, Al and Dan by four position

Formula for permutation P(n , n) = n!. Using this formula P(4,4) = 4!

= 1×2×3×4  =24 ways.

Hence, using permutations, they are 24 different ways Pat, Jo, Al and Dan finish  in first, second, third, and fourth place in the contest.  

Learn more about Permutation here

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Can someone help me out I will give u brainest

Answers

Answer:

A=4πr2=4·π·2.52≈78.53982 ==> A

Step-by-step explanation

the radius is 2.5 feet, the formula is given, then sub for pi and approx answers is 78.5

What is the IQR​ (interquartile range) of the data set represented? Minimum value = 5 Q1=9.5 Median = 17 Q3=23 Maximum value=28 11 12
13.5
23

Answers

Answer:

13.5

Step-by-step explanation:

Q3 - Q1   is the interquartile range

23- 9.5

Which values of c will cause the quadratic equation -x^2+3x+c=0 to have no real number solutions? Check all that apply.

Answers

Taking into account the discriminant of a cuadratic function, values of c ​​less than[tex]-\frac{9}{4}[/tex] cause the quadratic equation  -x²+3x+c=0 to have no real number solutions.

Discriminant of a cuadratic function

The function f(x) = ax²  + bx + c with a, b, c real numbers and a ≠ 0, is a function  quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).

The following expression is called discriminant:

Δ= b²- 4×a×c

The discriminant determines the amount of  roots of the function. The roots are those values ​​of x for which the expression is 0, so it graphically cuts the x-axis.

Then:

If Δ <0 the function has no real roots and its graph does not intersect the x-axis.If Δ> 0 the function has two real roots and its graph intersects the x-axis at two points .If Δ = 0 the function has a real root and its graph intersects the x-axis at a single point that coincides with its vertex. In this case the function is said to have a double root.

Value of c

In this case, for the quadratic equation -x²+3x+c=0 you know:

a= -1b= 3c= c

If the function has no real roots, the discriminant is less than zero (Δ <0). This is: b²- 4×a×c < 0

Substituting the corresponding values, you  get:

3²- 4×(-1)×c < 0

Solving:

9 + 4×c < 0

4×c < -9

c< (-9)÷4

c< [tex]-\frac{9}{4}[/tex]

Finally, values of c ​​less than[tex]-\frac{9}{4}[/tex] cause the quadratic equation  -x²+3x+c=0 to have no real number solutions.

Learn more about the discriminant of a cuadratic function:

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The height of a cylinder is 7 inches. another cylinder with the same size base has double the volume. what is the height of the second cylinder? 3.5 in. 7 in. 14 in. 28 in.

Answers

Answer:

14

Step-by-step explanation:

Which algebraic expressions are binomials? Check all that apply

Answers

Answer:

Of the ones listed, in the way they are written, the answers are x²y – 3x and 6y² – y.

Explanation:

A monomial is a constant, a variable, or the product of constants and variables.  A binomial is the sum or difference of two monomials.  

The first option, xy, is a monomial.  There is only one, so it is not a binomial.

The second one, x²y-3x, is the difference of two monomials; this means it is a binomial.

The third one, 6y²-y, is the difference of two monomials; this means it is a binomial.  

The last one, y²+4xy-x², is the sum and/or difference of at least three monomials (there is a plus at the end that makes me think there is more to it).  This means it is a trinomial, not a binomial.

Answer: B, C, and E.

Step-by-step explanation:

Since all three show the characteristics found in a binomial then these three are your answers. Plus I just did it on Edge.

:)

please help
3a-10pts
3b-10pts
3c-10pts

Answers

answer

Solved 3a. (10 pts) fa? x2 arctan (3.c) dx = 3b. (10 pts)

Step-by-step explanation:

brainlist me

a grocery gave a 25 discount on all items. if harry bought 248.50 worth of stuff. how much did he pay?

Answers

Answer: 186. 375

Step-by-step explanation:

25/100 × 248.50 /1 = 62.125

He paid 248.50 - 62.125

Which equation represents a line which is parallel to the line x-
8y = 48?

Answers

Answer:

y = 1/8x

Step-by-step explanation:

REMEBER: When the slopes are two lines are equal, they're parallel.

Given Equation:

x - 8y = 48 ---> This equation is in standard form.

⇒ -8y = -1x + 48

⇒ y = 1/8x + 6

As a result, the equation of the parallal line to the given equation x - 8y = 48 is:

⇒ y = 1/8x

From the top of a lighthouse 160 feet above sea level, the angle of depression to a boat
at
sea is 25 degrees. To the nearest foot, what is the horizontal distance from the boat to
the base of the lighthouse?

Answers

Answer:

75 feet

Step-by-step explanation:

The perpendicular height from the base of the lighthouse to the top is 160 feet. The angle of depression is the angle that is adjacent to this side. The opposite of this angle is the horizontal distance from the boat to the base of the lighthouse, so we need to use the tangent. tan 25°=x/160, tan 25° is 0.466 so when we multiplty by 160 to find x, we get x=74.56, which rounded up is 75.

3*(2)=6+5 3*(2+5)
Please help

Answers

Answer:

6 = 413 is a not true statement

Step-by-step explanation:

I've attached my work below

Hope it helps, Let me know if you have any questions/concerns !

Have a nice rest of your day :)

I need help I don't understand​

Answers

Answer:

I think it's 6 because there are 6 sides that make up the cube, hopefully I'm right.

Answer:

All the lines put 10 above it

Step-by-step explanation:

All the dimensions (Number of squares) Are equal to ten

help asap please,i don’t get the question

Answers

Answer:

see below

Step-by-step explanation:

I do not know what the 'given expression' is, bu the three UN-highlighted expressions in each question 1 and 2  are equivalent

  Only the highlighted one is not equiv to the other three

100 POINTS!!!!!!!!!! PLEASE HELP NEED THIS DONE AS SOON AS POSSIBLE ASAP

Answers

Answer:

20.28

Step-by-step explanation:

Triangles; 4

Area of 1 Triangle; 2

Rectangles; 8

Semi Circle; 6.28

Area in total; 20.28

Hope This Helps! :)

Step-by-step explanation:

Area of the rectangle: 4×2=8

Area of the semicircle: πr² ÷ 2= 22/7×2² ÷2 = 12.57 ÷2 = 6.29

Area of one triangle: 1/2×2×2= 2

Area of total figure: 8+6.29+2+2= 18.29

Hope this helps =)

What is the 10th term in the increasing pattern shown?

1, 1, 2, 3, 5, 8, 13

Answers

Answer:

55

Step-by-step explanation:

(after the first "1") You need to add the previous two numbers together to get the next number in the pattern.

HELP HE:LP HELPPPPPPPPPPp

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(

8

,

2

)

Equation Form:

x

=

8

,

y

=

2

Step-by-step explanation below:

What type of angle is shown below?
29°
O A. Obtuse
O B. Acute
O C. Right
O D. Straight
Help pls

Answers

The answer would be acute because it is an angle less than 90 degrees

Answer:

B. Acute

Step-by-step explanation:

Any angle less than 90 degrees is an acute angle. A 90-degree angle is a right angle, and is typically marked with a little box. Any angle more than 90 degrees and less than 180 degrees is an obtuse angle. A 180-degree angle is a straight angle and is basically just a line.

Since 29 degrees is less than 90 degrees, we know that the answer is B, an acute angle.

I hope this helps! Have a lovely day!! :)

(also, here is a picture of examples of the different angles)

3Ix+5I=7

I= absoulute value symbol

Answers

Answer:

[tex]x = -\dfrac{8}3~~~~\text{or}~~~x = -\dfrac {22}3[/tex]

Step by step explanation:

[tex]~~~~~3|x+5|=7\\\\\implies |x+5| = \dfrac 73\\\\\implies x +5=\dfrac 73~~~\text{or}~~~x+5 = -\dfrac 73\\\\\implies x = \dfrac 73 -5~~~\text{or}~~~ x = -\dfrac 73 - 5\\\\\implies x = -\dfrac{8}3~~~~~~\text{or}~~~x = -\dfrac {22}3[/tex]

Find the distance between the two points in simplest radical form.
(1, -7) and (7,0)

Answers

Answer:

The distance between the two given points is equal to √85.

Step-by-step explanation:

Let's recall what the distance formula is:

[tex]\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }[/tex]

We are defined our two points as:

(x₁, y₁) → (1, -7)(x₂, y₂) → (7, 0)

We can rewrite this into our different "variables":

x₁ = 1y₁ = -7x₂ = 7y₂ = 0

Now given our distance formula and our variables, we can find the distance between the two points:

[tex]\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}[/tex]

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.

Hope this helps!

What the area of this shape

Answers

Answer: The Answer is 150.

I don't know if this is the right answer

Its asking to expand and simplify an expression for the area of this rectangle. ​

Answers

Answer:

4x^2 + 11x - 20

Step-by-step explanation:

area is width X heightmultiply the width (4x - 5) and the height(X + 4)I always imagine a multiplication grid for this kind of problem, with X and +4 at the top and 4x and -5 going down, and then combine termsyou get 4x^2 + 11x - 20

Answer:

(4x-5)(x+4)

4x squared- 16x -5x - 204x squared-21x - 20

The first three steps of completing the square to solve the quadratic equation 2? + 8x + 5 = 0 are shown
below.
Step 1: x² + 8.0 = -5
Step 2: x2 + 8x + 16 = -5+16
Step 3: (x + 4)2 = 11
What are the next 3 steps?

Answers

Answer:

x = 3/2

Step-by-step explanation:

Step 4: 2x + 8 = 11

step 5: 2x +8 - 8 = 11 -8

step 6: 2x/2 = 3/2

step 7: x = 3/2

Answer:

see explanation

Step-by-step explanation:

take the square root of both sides

step 4 : x + 4 = ± [tex]\sqrt{11}[/tex] ( subtract 4 from both sides )

step 5 : x = - 4 ± [tex]\sqrt{11}[/tex]

step 6 : x = - 4 - [tex]\sqrt{11}[/tex] , x = - 4 + [tex]\sqrt{11}[/tex]

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A group wants to visit a water park overthe summer. Tickets cost $10 for eachchild and $15 for each adult. The grouphas a total of $90 to spend on tickets tothe water park. The equation10x + 15y = 90 represents the totalcost of the water park tickets and isgraphed below. You invest $5000, add $25 each month, at 7.9% for 11 years. June is baking cupcakes for her birthday party. She has enough batter to make 16 chocolate cupcakes and 8 strawberry cupcakes. What fraction of the cupcakes is chocolate? Identify the calculation performed by the following code.function calcArea(length, width) { var rectArea = length*width; return rectArea;}var x = 8;var y = 6;calcArea(x, y); a. 48 b. 96 c. 28 d. 56 If a mother blooodds A body moving with an acceleration 2 m/s?then what is the change in velocity in 4sec. Read the passage. Then identify the most likely inference that can be drawnfrom the details.Santana ran breathlessly to the drama classroom, where severalpeople were gathered, reading a piece of paper taped to the classroomdoor. She stood on her tiptoes so she could see the list they werereading. She read it, then read it again. She sank down from her tiptoesand hung her head, then walked slowly away.A. Santana was encouraged to try out for a part in the play, thoughshe didn't want to.B. Santana found out that she got the starring role in the school play.O C. Santana hoped to get a part in a play, but she was disappointed.D. Santana read that the school would be putting on a play anddecided to try out. Please help witht 4 and 5 The peak of one mountain is 6 mi above sea level. The peak of another is 4 mi below sea level. What is the difference in altitude between the two mountain peaks? Write a function that receives a StaticArray and returns an integer that describes whether the array is sorted. The method must return: The length of a rectangle is3x + 7 and the width of therectangle is x 2.What is the area of the figure? For whom was this battle a victory?Bunker Hill explicate the irrelevance of learning styles Why will a struck tuning fork sound louder when it is held against a table?. Should career choices be made based on academic scores or personal interest? How did the introduction of asepsis change hospitals in the United States?A. It made hospitals more sanitary.B. It attracted a wider demographic of patients.C. It made the medical profession more formal.D. It increased the mortality rate. Which number is irrational? Question 2 options: A fraction A terminating decimal The square root of an imperfect square Zero ________ tend to emphasize the ways people strive for self-determination and self-realization. Group of answer choices What do you understand by environment? Which function has a horizontal asymptote of y = 3?