Mathematics College

The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test (SAT) in a particular year had a mean of 490 and a standard deviation of 100. The distribution of SAT scores is bell-shaped.

What percentage of seniors scored between 390 and 590 on this SAT test?

Answers

Answer 1

Answer:

The value is  [tex]P( 390 < X < 590) = 68.3 \%[/tex]    

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 490[/tex]

    The standard deviation is  [tex]\sigma = 100[/tex]

   

Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as

     [tex]P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

    [tex]P( 390 < X < 590) = P( -1 < Z < 1 )[/tex]

=>  [tex]P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1 and  -1  is  

[tex]P(Z< 1 ) = 0.84134[/tex]

and

[tex]P(Z< - 1 ) = 0.15866[/tex]  

   [tex]P( 390 < X < 590) =0.84134 - 0.15866[/tex]

=> [tex]P( 390 < X < 590) = 0.6827[/tex]

Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as

=> [tex]P( 390 < X < 590) = 0.6827 *100[/tex]    

=> [tex]P( 390 < X < 590) = 68.3 \%[/tex]    

Related Questions

Plz answer quick I need to get it bc it’s a quiz

Answers

Answer:

slope equals 2

Step-by-step explanation:

graph points and calculate rise over run

the answer is 2 the slope is 2.

Multiply 8674 x 678 is what

Answers

Answer:

5880972

hope it helps..

how many diagonals does a nanogon have​

Answers

Answer:

nanogon have 27 diagnals

A nonagon has 27 diagonals

You move up 2 units and down 7 units. You end at (1, -2). Where did you start?

Answers

(5,-2)

that's all. up and down basically means that the point is moving along the x axis.

-4-5(2x -4) = 76
-6
9
-4
7

Answers

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

-4 -10x +20 = 76 . . . . . eliminate parentheses

-10x = 60 . . . . . . . . . . . subtract 16

x = -6 . . . . . . . . . . . . . . divide by -10

I don't know how to solve this.Please help!
3^x=2

Answers

So 3^X= 2 is an exponential equation. The inverse of an exponential in ln. so take ln of both sides to solve.

Another way is to change the exponential into a log equation
So that would be log with base 3 to the power of 2 equals x.

25 miles/hour =_meters/minute

Answers

670.56 meters. I hope it helps !
670.56 is correct!!!

A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 28
stores this year shows mean sales of 64 units of a small appliance, with a standard deviation of 13.8 units. During the same point in time last year, an SRS of 28 stores had mean sales of 48.958 units, with standard deviation 15.4 units. An increase from 48.958 to 64 is a rise of about 24%.


1. Construct a 99% confidence interval estimate of the difference μ1−μ2

μ1−μ2, where μ1 is the mean of this year's sales and μ2 is the mean of last year's sales.


(b) The margin of error is



2. At a 0.01 significance level, is there sufficient evidence to show that sales this year are different from last year?

Answers

Answer:

Confidence interval = (4.61972, 25.46428)

Margin of Error = 3.9078675

Step-by-step explanation:

Given that :

This year:

Mean (μ1) = 64

Standard deviation (s1) = 13.8

Sample size (n1) = 28

Last year:

Mean (μ2) = 48.958

Standard deviation (s2) = 15.4

Sample size (n2) = 28

99% confidence interval estimate of the difference μ1−μ2

α = 1 - 99% = 0.01

(μ1−μ2) ± t0.01,27 * (√s1²/n1 + s2²/n2)

t0.01, 27 = 2.770683 (t value calculator)

√s1²/n1 + s2²/n2 = √13.8^2/28 + 15.4^2/28 = 3.9078675

(64 - 48.958) ± 2.667(3.9078675)

15.042 ± 10.42228

(15.042 - 10.42228), (15.042 + 10.42228)

(4.61972, 25.46428)

The margin of error :

√(s1²/n1) + (s2²/n2)

√(13.8^2/28) + (15.4^2/28)

√(6.8014285 + 8.47)

√15.2714285

= 3.9078675

Please help me and explain this.

Answers

You are supposed to answer where the function, h(x), is decreasing. In other words, where is “y” decreasing.

In this graph, I believe it would be from (-3,4)U(8,infinity). I hope this helps.

1. Delia purchased a new car for $23,350. This make and model straight line depreciates to zero after 13 years.
a. Identify the coordinates of the x- and y- intercepts for the depreciation equation.
b. Determine the slope of the depreciation.
c. Write the straight-line depreciation equation that models this situation.

Answers

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. [tex]m = -\frac{23350}{13}[/tex]

c. [tex]y = -\frac{23350}{13}x + 23350[/tex]

Step-by-step explanation:

Given

[tex]Years = 13[/tex]

[tex]Total\ depreciation = \$23350[/tex]

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

[tex]m = \frac{23350}{13}[/tex]

Because it is depreciation, it means the slope represents a deduction.

So,

[tex]m = -\frac{23350}{13}[/tex]

Solving (c): The straight line equation

The general format of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

[tex]b = y\ intercept[/tex]

In (a), we have that:

[tex]y\ intercept = 23350[/tex]

In (b), we have that:

[tex]Slope\ (m) = -\frac{23350}{13}[/tex]

Substitute these values in [tex]y = mx + b[/tex]

[tex]y = -\frac{23350}{13}x + 23350[/tex]

Hence, the depreciation equation is: [tex]y = -\frac{23350}{13}x + 23350[/tex]

What is the nth term rule of the linear sequence below?
-9, -5, -1,3,7,...

Answers

Answer:

Step-by-step explanation:

Given sequence

-9, -5, -1,3,7,...

Is A.P(,airthmetic progression)

So

nth term of an A.P =a+(n-1)d

Where a=first term (-9)

D=difference=(-5)-(-9)=4

So nth term=-9+(n-1)4

=4n-13

Answer is 4n-13

Select the correct answer. Given:In quadrilateral WXYZ , and bisect each other at point A. Prove: Quadrilateral WXYZ is a parallelogram. Statement Reason 1. and bisect each other. given 2. WA = YA XA = ZA definition of bisection 3. m∠YAZ = m∠XAW Vertical Angles Theorem 4. SAS criterion for congruence 5. ∠ YWX ≅ ∠WYZ Corresponding angles of congruent triangles are congruent. 6. || converse of Alternate Interior Angles Theorem 7. m∠XAY = m∠ZAW Vertical Angles Theorem 8. ∆XAY ≅ ∆ZAW SAS criterion for congruence 9. ∠XZW ≅ ∠ZXY Corresponding angles of congruent triangles are congruent. 10. || converse of Alternate Interior Angles Theorem 11. Quadrilateral WXYZ is a parallelogram. definition of parallelogram What is the missing statement in this proof? A. ∆XWY ≅ ∆ZYW B. ∆YAZ ≅ ∆WAX C. WY = XZ D. ||

Answers

Answer:

YAZ WAX is the answer...i couldn't put it as its shown on the problem but its the same letters

Step-by-step explanation:

i took the test and got 5/5....this answer was correct

Gina wants to make
hamburgers for 12 people.
Her recipe serves 8 people
and calls for 4.5 pounds of
ground beef. How much
ground beef should
Gia purchase?
h

Answers

Answer:

6.75 pounds

Step-by-step explanation:

This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.

[tex]4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x[/tex]

In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.

* stands for multiplication

From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.

Cleo buys 2/4 pounds of turkey. Tyler buys 1/2 pounds of turkey. Who buys more turkey? Pls explain.

Answers

Answer:

No one because They bought the same amount. 2/4 is equvalent to 1/2, meaning they both are half a pound. :)

Step-by-step explanation:

If this helps pls mark me brainliest

Have a great day :)

What additional information could be used to prove that triangle XYZ is congruent to triangle Fe.g. using asa or aas check all that apply

Answers

i hope this was able to help!!

answer: Answer: ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS. we need only one angle and side.

Answer:

its the first one and the last one ..that's the answer.

What is the following product?
(5-12-4/5)(512-43
PLEASE HELP ):

Answers

Answer:

-3658.2

Step-by-step explanation:

What are steps I need to take to find a? Please include working out ❤️❤️

Answers

142-38=104
Это и есть ответ

A downtown parking garage charges individuals to park a car according to the following rate schedule: $1.00 for the first hour, then $2 for each subsequent hour until the daily maximum charge of $9.00 is reached. These charges are represented in the graph below.

which of the following is true?

Answers

Answer:

In the graph, a white dot means that the value does not belong to the set, while the colored dot means that the value does belong.

Let's analyze each statement (from top to bottom)

1)The x-axis represents the number of hours, and the y-axis the charge.

Then let's find x = 2.

You can see that there is a colored dot at y = $3, and a white dot at y = $5.

Then the price for exactly two hours is $3, not $5.

Then this first statement is wrong.

2) You can assume that 20 minutes is in between x = 0 and x =1, then from that point, you can see that the equivalent value of y is $1. Then the individuals who park only for 20 minutes will be charged with $1,

This statement is wrong.

3) 1 hour and 15 minutes is in between 1 and 2 hours.

And as you can see, for 1 < x ≤ 2, the price is $3. Then this statement is correct.

4) Here we have x > 4.

In the graph you can see that all values of x > 4 are mapped into the black part of the graph, which is equivalent to the maximum charge of $9.

Then this statement is correct.

Write the slope intercept form of the equation of the line through the given point plz

Answers

I think it’s y=8x-13

helpp plssssss i need

Answers

the answer to your question is 3m^4

Answer:

3m^4

Step-by-step explanation:

x^y

x is the base and y is the exponent

Daniel has 1615 Skittles stored in boxes. If there are 85 boxes, how many Skittles must go in each box?

Answers

Answer:

19

Step-by-step explanation:

While it's really easy to just divide, I'm sure your teacher wants an equation so:

1615=85x                                                      here x= skittle boxes

1615/85=x            In this line you can use divide to cancel out the multiplication, giving you

x=19

                 

One pound of beef costs $4.25. One pound of turkey cost $2.85. How much more does 1.25 pounds of the beef cost than 1.25 pounds of turkey?

Answers

Answer: $1.75

Step-by-step explanation:

Increase 1.25 by 4.25

5.31

Presently increase 1.25 by 2.85

3.56

Take away 3.56 from 5.31

1.75

Answer:

Beef= 5.75

Turkey=4.35

Beef cost is $1.40 more than turkey.

Step-by-step explanation:

Find the product. Enter your final answer as a simplified fraction.
-1/8•7•2/5=

Answers

Answer:

-7/20  

Step-by-step explanation:

Answer:

-1/140

Step-by-step explanation:

-1/8*7*2/5

-7/8*2/5

-7/20

You move down 6 units and left 9 units. You end at (-5, -3). Where did you start?

Answers

(4, 3) i think lol goodluck

if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb witha mean of 130 and 27.3

Answers

Answer:

The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.

Step-by-step explanation:

Let X = weight of pilots.

It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.

Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:

[tex]P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52[/tex]

Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.

Find the product
(3x+4y)(x+y)

Answers

Answer:

Step-by-step explanation:

(3x+4y)(x+y)

Solution=3x^2+4xy+3xy+4y^2

=3x^2+7xy+4y^2

3x^2 + 7xy + 4y^2 I believe

Use a calculator, spreadsheet, or another tool to solve for the unknown sides of the given right triangle. The length of the hypotenuse is 12. a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B. Round your answers to four decimal places.

Answers

Answer:

27

Step-by-step explanation:

2 TIMES 3

The length of the side a and b is 2.0837 and 11.8176 respectively.

Length of side a and b to be determine, hypotenuse is 12 and a is the length of the side opposite the 10 degree angle and b is the length of the opposite angle B.

What is trigonometry?

Trigonometry is branch of mathematics that helps in elevation and angle problems.

Let assume that one angle of triangle is right angle.
So in right angles triangle,
hypotenuse = 12
cos10 =  length of b /12
length of b = 12 cos10
length of b = 11.8176

Now,
sin 10 =length of a/ 12
length of a = 12 sin10
length of a = 2.0837

Thus, the length of the side a and b is 2.0837 and 11.8176 respectively.

Learn more about trigonometry here:
https://brainly.com/question/26719838

#SPJ2

Please please help me get the anwser I just want the anwser I got a 33.3 on my last attempt and this is my last please :( I will literally give you 87 points I need help ASAP please I set it to 87 points please take Time and anwser correctly or I will report please :( I only have 11/6/2020

Answers

Answer: A

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Tiffany took her friends out to dinner. If the dinner was $29.53 and she gave a 20% tip, how much money did she spend on dinner?

Answers

Answer: The answer is 35.43 because 29.53 times 20% is 5.90, so you add 5.90 to 29.53 to get 35.43.

Helppppppp
I need to find the area for this

Answers

Answer:

126

Step-by-step explanation:

70+56

Other Questions
fill in each blank with the most appropriate form of the present subjunctive.1. Mi esposa y yo queremos que los mdicos _______(ENTENDER) que los cambios que quieren toman tiempo.2. Es importante que mi familia y yo ______(EMPEZAR) a tomar menos caf.3. Quiero que mi familia _______ (RECONOCER) la importancia de hacer cambios para nuestra salud.4. Los mdicos quieren que sus pacientes _____ (PODER) seguir las instrucciones.5. El mdico quiere que yo _____ (IR) a un especialista.6. HELP!!! 100 POINTS!!!Vasco Nunez de Balboa crossed from the Atlantic Ocean to the Pacific Ocean using a land route that he was the first European to find. Why was his discovery of the Isthmus of Panama so important?Select one:a. The crossing point was free of natives and thus safe to cross.b. It is, by far, the shortest land route between the Atlantic and Pacific Oceans.c. This was Balboa's first of many trips across the Atlantic Ocean.d. The Isthmus of Panama was the first isthmus ever discovered. what is NOT a plank variation?A. Single-leg plankB. Standard plankC. Wood plankD. Knee plank The amplitude of a wave is related to the energy of a wave. Did you see anything on the screen that made you think this or could prove your point? How could you demonstrate this relationship? So far this month Raul calculated that he will earn $30 in commission for his $200 in product sales. If Raul would like for his commission to be $132, how much MORE does he need in sales? a. $102b. $880c. $588D. 680 Multiple Select: What were some factors that led to U.S. imperialism? (Choose 3) *A(connections with European nationsB(access to ports and coaling stationsC(it was a necessity for their countries to surviveD(belief in cultural superiorityE(new markets to sell American goods find the lowest degree polynomial that has vertical asymptotes at x=2,3 goes through the points (-2,0), and (-3,0) and has a horizontal tangent at y=2 This week, 957 people went to the beach. Last week, 1,207 people went to the beach. The number of people who went to the beach fell by what percent? Use pencil and paper. Explain how you know whether the answer is greater than or less than 25% Describe how plants reproduce asexually. Do states have different governments? Does government bind states together? If so, how? 6x + 21y = 103-6x + 23y = 51 This unit, you have learned several formulas and equations. Match the formula or equation with what the answer represents.1.______100% + percent = or100% - percent =2._______-original x percent =*when the percent is written as a decimal3._____original x (1.00 + percent) = ororiginal x (1.00 - percent) =*when the percent is written as a decimal4.________new - original x 100% = ___________ original5._________| measured - actual | x 100% = ______________ actual6.measured - actual = __________________________________________________________________Column Ba.formula to find errorb.total change in the percentc.formula to find the percent of change when given two numbersd.amount something increases or decreasese.equation to find the total amountf.formula to find percent of error The U.S. Constitution has survived for asurprisingly long time. What quality of the Constitution has enabled it to last for so long?A. The separation of federal government and state governmentsB. The decision to split the power between three branchesC. The ability to make amendmentsPlease help!!!! 10 points PLZZZZ HELPPPP THIS IS A TIMED TESTTT!!DEFG has been dilated to DEFG. Use a pair of corresponding sides to determine the scale factor. solve 7x -2 + 10x + x + 6x How are the landforms of Northern and Southern Europe alike? How are they different? A garden hose fills a 2-gallon bucket in 5 seconds. The number of gallons, g, is proportional to the number of seconds, t, that the water is running. Select all the equations that represent the relationship between g and t 5. Veronika works at Future Shop and earns $10.50/h plus 6% commission on sales. Last week Veronika worked 40hours. What was Veronika's weekly gross salary if her total sales were $2050? What is the solution to the equation 23(y6)=(y+2)+1 2 3 ( y - 6 ) = - ( y + 2 ) + 1 ? 1 WILL GIVE BRAINLIST!!For which topic would a live demonstration work BEST in a speech?a. how electricity is producedb. how to repair a watchc. how two chemicals violently reactd. how to change the oil in a car