SAT math scores for a particular year are normally distributed with a mean of 510 and a standard deviation of 80.

What is the probability that a randomly selected score is greater than 590? Enter the numerical answer only (no percent sign).

Answers

Answer 1

Using the normal distribution, it is found that there is a 16% probability that a randomly selected score is greater than 590.

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, the mean and the standard deviation are, respectively, given by [tex]\mu = 510[/tex] and [tex]\sigma = 80[/tex].

The probability that a randomly selected score is greater than 590 is one subtracted by the p-value of Z when X = 590, hence:

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

[tex]Z = \frac{590 - 510}{80}[/tex]

Z = 1

Z = 1 has a p-value of 0.84.

1 - 0.84 = 0.16.

0.16 = 16% probability that a randomly selected score is greater than 590.

More can be learned about the normal distribution at https://brainly.com/question/24663213


Related Questions

Solve each of the following equations. Show its solution set on the number line. |3x-4(x+1)|=2

Answers

Answer:

x= -6, -2

Step-by-step explanation:

Answer:

x=-6, x=-2

Step-by-step explanation:

peaches cost 1.79 per pound what equation is used to find c the total cost for p pounds of peaches

Answers

Answer:

[tex]\huge{\boxed{\bf\:1.79 * p}[/tex]

Step-by-step explanation:

Given,

Cost of 1 pound of peaches = 1.79

If pounds of peaches = p, then,

Cost of p pounds of peaches

= Cost of 1 pound × p pounds of peaches (p)

= 1.79 × p

[tex]\rule{150pt}{2pt}[/tex]

8. Instructions: Find the missing side of the triangle.

Answers

Answer:

197

Step-by-step explanation:

to solve Hypotenuse:

a^2+b^2=c^2

Plug in:

28^2+195^2=c^2

Solve:

784+38025=c^2

38809=c^2

sqrt 38809=sqrt c^2

c=191

I hope it helps!!!

find the m < VXW of the parallelogram

Answers

Answer: A

Step-by-step explanation:

Write in standard form 8,00,000 + 60,000 + 3,000 + 400 +30 + 2 = ​

Answers

Answer:

863432

Step-by-step explanation:

Add all numbers You will get answer

Answer:

863432.00

Step-by-step explanation:

800000

60000

3000

400

30

2

--------------

863432

_______

I NEED HELP ASAP !!!!!!!

Answers

Answer:

  $42,782.40

Step-by-step explanation:

You want to know how much more Glados paid than Shaq on a 30-year mortgage if their monthly payments were $755.99 and $637.15, respectively.

Added amount

Each month, Glados paid this amount more:

  $755.99 -637.15 = $118.84

Over the 360-month life of the 30-year loan, this excess amount adds up to ...

  360 × $118.84 = $42,782.40

Glados pays $42,782.40 more than Shaq for the same loan amount.

<95141404393>

What is the answer to this?

Answers

Answer:

0.216 cubic feet

Step-by-step explanation:

v = lwh (volume = length times width times height)

v = 0.6 x 0.6 x 0.6  OR 0.6^3

v = 0.216

What is the area of this figure?
18 ft
3 ft
15 ft
12 ft
9 ft
3 ft
square feet
Submit

Answers

Answer: Times it

Step-by-step explanation:

Answer:

90 square feet

Step-by-step explanation:

area of this figure = area of 1 rectangle + area of 2nd rectangle

= L×B + l × b

= 18 × 3 + 12 × 3

= 54 + 36

= 90 feet²

A pillar is fixed in the centre of a circular meadow with diameter of 60 metres. The angle of elevation of its top was found to be 60%, when observed from a point of the circumference of circular meadow. Find the height of the pillar from the ground.​

Answers

Answer:

17 meters

Step-by-step explanation:

|\ angle = 60 degrees here of triangle
|   \              <-- digitaly drawn triangle
|___\

cirlcle diameter is 60 meters, since pillar is at the center then the distance of the pillar to the edge of the circlular meadow is (60/2) 30 meters.

30 meters is opposite of the angle.

The height of the pillar is adjacent to the angle so use tangent to solve

Tan(60) = 30/x

Tan(60) = 1.7; make sure that calculator is in degrees and not in radians to not get an incorrect value

1.7 = 30/x --> 1.7x = 30

x = 30/1.7

x = 17.3205 meters

using 2 significant figures gives us 17 meters

An adult human body contains 10 pints of blood.How much fluid ounces is equivalent to 10 pints? (Please answers!)

Answers

Answer:

160 fluid ounces

Step-by-step explanation:

There are 16 ounces in one pint, therefore multiply the number of pints by 16 to get your answer.

16 * 10 = 160

Hope this helped ! <3 Brainliest please :)

The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0.75 cosine (startfraction pi over 30 endfraction (t minus 15)) 8. which number (from 1 to 12) is the minute hand pointing to at t = 0? 3 6 9 12

Answers

The height of the tip of the minute hand of a wall clock is 9 ft. Then the correct option is C.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(t-15)} \right ) + 8\\[/tex]

When t = 0, then the value of the h will be

[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(0-15)} \right ) + 8\\\\\\h =0.75 \cos \left ( \dfrac{\pi}{-450} \right ) + 8\\\\\\h =0.75 \cos \times 0.9999+ 8\\\\\\h = 0.74998+8\\\\\\h = 8.74889 \approx 9[/tex]

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

9

Step-by-step explanation:

The answer above is correct.

If mMVUW=(4x+6)° and mWUT=(6x+10)°, what is the measure of WUT

Answers

As ray UW bisects ( divides the angles into two equal parts )

WUT = WUV

6x - 10° = 4x + 6°

6x - 4x = 6° + 10°

2x = 16°

x = 16° ÷ 2 = 8°

Putting the value of x in the Angle WUT

6 × 8° - 10° = 48° - 10° = 38°

Q: Ribbon cost $1.44 for 3 m.
(1) What is the cost per meter?
(2) How much would 5 m of ribbon cost?
(3) How much ribbon could you buy for $12?

Answers

Answer:

1.44 divided by 3m will give $0.48/5 times 0.48 gives 2.412 times three divided by 1.44 gives$.25

Name two sides that appear to be perpendicular

Answers

Step-by-step explanation:

Adjacent sides of a square and a rectangle are always perpendicular to each other. Sides of the right-angled triangle enclosing the right angle are perpendicular to each other.

17. Which of the following transformations does NOT preserve congruence?

(x,y) - (y + 2,-x-1)

(x,y) - (x-3, y-2)

(x,y) -- (0.5x + 1,0.5y-2)

(x,y) - (-y-3,x+5)

Answers

(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.

what is transformation ?

An item in one space is mapped to another using a function known as a transformation in mathematics. A geometric shape or other mathematical object is altered by this method by shifting its location, direction, or size. Geometric qualities including symmetry, congruence, and resemblance are studied using transformations. Objects are frequently transformed through translations (moving), rotations (turning), reflections (flipping), and dilations (resizing an object). In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.

given

(x,y) - (y + 2,-x-1) is the transformation that DOES NOT maintain congruence.

In other branches of mathematics and science, including physics, calculus, and linear algebra, transformations are also employed.

To know more about transformation visit :-

https://brainly.com/question/11709244

#SPJ1

HELPPPPPPPPPPPP This figure is made up of a rectangle and parallelogram. What is the area of this figure? Enter your answer in the box. Do not round any side lengths. units² Coordinate plane with axes labeled x and y. A closed figure is formed by a parallelogram and rectangle. The vertices are negative 10 comma 2, negative 7 comma 3, negative 1 comma 3, 1 comma negative 3, negative 2 comma negative 4, and negative 4 comma 2.

Answers

Answer:

Area = 26 sq units

Step-by-step explanation:

If you put the points on a graph then you can see what you are working with. The parallelogram you can just count the squares to find the base and height. base = 6 and height = 1.

A = b • h = 6•1 = 6

To find the lengths of the sides for the rectangle you must use distance formula or pythagorean theorem. I have shown this using Pythagorean theorem. The short side of the rectangle is marked x and calculated to have length sqroot10. See image.

The graph shows the length is twice as long. But I showed a separate calculation also using pythag.thm. to find the length of y, the long side is sqroot40.

Area of rectangle is:

A = b•h OR L×W

A=sqrt10×sqrt40

=20 See image.

Add the areas to get your final answer.

Fill in the table using this function rule

y=4x-12

Answers

Very top one is 8
Second from top is 12
Third from top is 20
Fourth from top is 28

Higher interest rate mortgage loans made to people with poor credit
scores.
O teaser rate
O subprime mortgage
O points
O adjustable rate mortgage

Answers

I don't know what you have to do but I'm trying to do my first answer srry

Answer:

I would say the last one..................


If a residual for a data point is 0, then the line of best fit is horizontal.
O True
O False

Answers

Answer:

false

Step-by-step explanation:

false

Maria and Sheila took part in a Mathematics competition. Sheila obtained 96 marks in the competition. If 2/5 of Maria's marks is equal to 1/4 of Sheila's marks, calculate the total marks obtained by both of them in the competition.​

Answers

Maria and Sheila total marks are illustrations of proportions

The total marks obtained by both is 156

How to determine their total marks?

The given parameters are:

Sheila = 96 marks

2/5 of Maria's marks = 1/4 of Sheila's marks

The second highlight above means that:

2/5 * Maria = 1/4 * 96

Multiply both sides by 5/2

Maria = 1/4 * 96 * 5/2

Evaluate the product

Maria = 60

Their total mark is then calculated as:

Total = Sheila + Mark

This gives

Total = 96 + 60

Evaluate the sum

Total = 156

Hence, the total marks obtained by both is 156

Read more about proportions at:

https://brainly.com/question/1781657

How would I solve the equation’s by cross multiplying number 4,5,9,10

Answers

Answer:

4) a = 6

5) m = 1

Step-by-step explanation:

4) use FOIL, First Inside Outside Last, when you cross multiply.

[tex]\frac{a+4}{a-1} =\frac{a-2}{a-4}[/tex]

[tex](a+4)(a-4) = (a-1)(a-2)[/tex]

I'm going to do the left side first.

[tex](a+4)(a-4)\\a^2-4a+4a-16\\a^2-16[/tex]

Now I'm going to do the right side.

[tex](a-1)(a-2)\\a^2-2a-1a+2\\a^2-3a+2[/tex]

Next I'm going to rewrite back as the equation and solve for a.

[tex]a^2 - 16 = a^2 -3a +2\\a^2 - a^2 -16 = a^2-a^2-3a+2\\-16-2=-3a+2-2\\-18=-3a\\-18/-3=-3a/-3\\a=6[/tex]

5) I'm going to use distributive propoerty when I cross multiply. Then I will setup an equation like number 4 and solve for m.

[tex]\frac{5m-2}{3}=\frac{8-3m}{5} \\[/tex]

[tex]5(5m-2)=3(8-3m)\\25m-10=24-9m\\25m+9m-10=24-9m+9m\\34m-10=24\\34m-10+10=24+10\\34m=34\\34m/34=34/34\\m=1[/tex]

A Classic Game in Mobile Legend has 10 players. How many different ways can a bronze, silver,and gold medals be obtained, assuming that medals can be won once?​

Answers

Step-by-step explanation:

Only the top player with the highest grade can be considered as MVP on the winning team.You can still be considered MVP even if you have less than 10 grade as long as you have the highest grade and your team won the matchYou can only considered MVP-loss if you have the highest grade and you qualify for a gold medalMedals for the winning teamBest case scenario: 1 MVP, 4 GoldWorst case scenario: 1 MVP, 2 Silver, 2 BronzeMedals for the losing teamBest case scenario: 1 MVP Loss, 1 Gold, 2 Silver, 1 BronzeWorst case scenario: 5 Bronze

What do a and b represent in the general term(tn)=an+b of sequence?​

Answers

The sequence Tn = an + b is an arithmetic sequence.

b represents the first term, and a represents the common difference

How to interpret variables a and b?

The general term is given as:

Tn = an + b

The above term is an arithmetic sequence.

An arithmetic sequence is represented as:

Tn = T1 + (n - 1)d

Where T1 represents the first term, and d represents the common difference

By comparing Tn = an + b and Tn = T1 + (n - 1)d, we have:

b = T1

a = d

This means that b represents the first term, and a represents the common difference

Read more about sequence at:

https://brainly.com/question/7882626

Please help I need to pass the lesson

Answers

Answer:

2 1/3

Step-by-step explanation:

if joshua has enough juice than  this is how much he needs

Yo I need to bring up my math grade bad so
y>-x+4
(please show it graphed already :D

Answers

Answer: See attached

Step-by-step explanation:

y > -x + 4

   [] The line will be dashed as this is only greater than, not greater than an equal to like ≥

   [] We will shade above the line because the values are greater than

   [] The line will have a slope of negative one

   [] The line will have a y-intercept of 4

   

    If you need more than the graph and the details above please let me know.

On the same coordinate plane, mark all points (x, y) that satisfy each rule.
y = -3 -X

Answers

The rule y = -3 - x is an illustration of a linear equation

The points on the coordinate plane with the rule y = -3 - x are (0,-3), (1,-4) and (2,-5)

How to determine the points?

The rule of the points is given as:

y = -3 - x

When x = 0, we have:

y = -3 - 0

y = -3

When x = 1, we have:

y = -3 - 1

y = -4

When x = 2, we have:

y = -3 - 2

y = -5

From the above computation, we have the following points

(0,-3), (1,-4) and (2,-5)

Hence, the points on the coordinate plane with the rule y = -3 - x are (0,-3), (1,-4) and (2,-5)

Read more about coordinate planes at:

https://brainly.com/question/10737082

The measure of an angle is 88 degrees. FInd the measure of its complement and the measure of its supplement.

Answers

Answer:

Step-by-step explanation:

Complementary angles add to 90 degrees, so the measure of its complement is 90-88=2 degrees.

Supplementary angles add to 180 degrees, so the measure of its supplement is 180-88=92 degrees.

(GIVING BRAINLIEST)
(Forming and solving simultaneous equations)
Pierre has more money than Alex.
If Pierre gave Alex £20, they would have the same amount.
If Alex gave Pierre £22, then Pierre would have twice as much as Alex.
How much does each one actually have?

Answers

Answer:

Pierre has  £ 146 and

Alex has  £ 106

Step-by-step explanation:

Let the money with Pierre be = p

Let the money with Alex = a

If Pierre gave Alex £20, they would have the same amount.

So, we should subtract £ 20 from p and add £ 20 to a

p - 20 = a + 20

     p    = a + 20 + 20

 p    = a + 40 ----------------(I)

If Alex gave Pierre £22, then Pierre would have twice as much as Alex.

p + 22 = 2*(a -22)

 p + 22 = 2a - 44      

         p  = 2a - 44 - 22

         p = 2a - 66

p -2a    = - 66   -----------------(II)

Substitute p = a + 40 in equation (II)

a + 40 - 2a = -66

 a - 2a + 40 = -66

     -a            = - 66 - 40

              -a  = - 106

      Multiply both sides by (-1)

[tex]\boxed{a = \£ \ 106}[/tex]

Substitute a = 106 in equation (I)

p = 106 + 40

[tex]\boxed{p = \£ 146}[/tex]

Thanks!! I'm just really confused abt this one question on IXL. I just need to answer this question and then I'm done.

Answers

Answer:

11/15

Step-by-step explanation:

simplify ( 1 - i ) ( 1 - i ) or ( 1 - i ) ^ (2)​

Answers

Answer:

-2i.

Step-by-step explanation:

( 1 - i ) ( 1 - i )

= 1(1 - i) - i(1 - i)

= 1 - i - i + i^2

Now i^2 = -1 so we have:

1 - 2i - 1

= -2i        

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