Mathematics High School

If SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325, find the probability that a randomly selected SAT score is between 1550 and 1575.

A.
0.5714

B.
0.9684

C.
0.0316

D.
0.5398

Answers

Answer 1
Mean, x_bar = 1518
Standard deviation, sigma = 325
Range required: 1550 ≤ X ≤ 1575

Z = (X - x_bar)/sigma

Z1 = (1550-1518)/325 ≈ 0.1
Z2 = (1575-1518)/325 ≈ 0.18

From Z tables,
P(Z1) = 0.5398
P(Z2) = 0.5714

P(1550≤X≤1575) = P(Z2) - P(Z1) = 0.5714 - 0.5398 = 0.0316

The correct answer is C.
Answer 2

Answer:

C.

0.0316

Step-by-step explanation:

Related Questions

Lines b and c are parallel. What is the measure of <6?
m<6 = 45
m<6 = 54
m<6 = 117
m<6 = 126

Answers

Answer:

m<6 = 54

St,ep-by-step explanation:

Lines b and c are parallel.

13x +9 and 5x+9 are consecutive exterior angles.

Consecutive exterior angles are supplementary.

[tex]13x+9+5x+9= 180[/tex]

Now we solve for x. combine like terms

[tex]18x+18= 180[/tex]

Subtract 18 from both sides

[tex]18x=162[/tex]

Divide both sides by 18

x=9

So the value of x=9

angle 6 and 5x+9 are vertical opposite angles . they are equal

m<6= 5x+9

Plug in 9 for x

m<6= 5(9)+9=54

m<6 = 54

Answer:

m<6 = 54

Step-by-step explanation:

Question 4 :)))))))$$$))))$$

Answers

380 * 0.05 = 19. 

£19 is your answer. 

What is the sum of the geometric sequence -4,24,-144...if there are 8 term? A.-959,781 B. 29,637 C. 26,661 D. 959,780 PLEASE HELP

Answers

it is d because I know it guys trust me it is easy.

Answer:

The sum of 8 terms of series is 959,780

D is correct

Step-by-step explanation:

Given: -4, 24, -144, ......

There are 8 terms.

We need to find the sum of 8 terms.

First term, a=-4

Common ratio, r=-6

[tex]a_n=-4\cdot(-6)^{n-1}[/tex]

Sum of 8 term

[tex]Sum=a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8[/tex]

[tex]Sum=\sum_{n=1}^{8}a_n[/tex]

[tex]Sum=-4+24-144+864-5184+31104-186624+1119744[/tex]

[tex]Sum=959,780[/tex]

Hence, The sum of 8 terms of series is 959,780

Ernesto tried to determine the solution for the system of equations using substitution. His work is shown below. x – y = 7 3x – 2y = 8 Step 1: x = y + 7 Step 2: 3(y + 7) – 2y = 8 Step 3: 3y + 7 – 2y = 8 Step 4: y + 7 = 8 Step 5: y = 1

Answers

The error is in Step 3.

_____
Simplifying 3(y +7) -2y = 8 should result in
  3y +21 -2y = 8

Step 4: y +21 = 8
Step 5: y = -13

four-barrel of colored marbles you randomly select three blue to Yellow 7 red eight green and two purple marbles. find the experimental probability of randomly selecting either green or purple marble

Standard number cube is rolled 180 times. Predict how many times 3 or 5 will be the result

The movie open the other day. So far 500,000 people have seen it. the producers of the movie needed to know if the people liked it. a random sample of 8000 people were asked as they were leaving the theater if they like the movie. of those interviewed 4,200 enjoyed the movie. predict the total number of people who have enjoyed the movie.

Jamestown Builders has a development of new homes. there are 6 different floor plans 7 exterior color than an option of either one car or two car garage . How many choices are there for one home?

if no digit may be used more than once how many 5 digits can be formed using only three digits. 8 1 2 5 and7?

Answers

only  two 56 32 hope it helps

The answer provides the experimental probability of selecting green or purple marbles, predicts the occurrences of rolling 3 or 5 on a number cube, and estimates the total number of people who enjoyed the movie.

Experimental Probability Calculation: In the given scenario, there are 8 green marbles and 2 purple marbles, making a total of 10 marbles. The probability of selecting a green or purple marble is the sum of the individual probabilities, which is (8/10) + (2/10) = 0.8.

Expected Outcome of Rolling a Number Cube: Since a standard number cube has numbers 1 to 6, each number has an equal probability of 1/6. Predicting how many times 3 or 5 will be rolled out of 180 rolls can be calculated by (1/6 + 1/6) x 180 = 60 times each for 3 and 5.

Total Number of People Who Enjoyed the Movie: Based on the sample data, 4,200 out of 8,000 people enjoyed the movie. Extrapolating this to the total viewers, the predicted number of people who enjoyed the movie would be: (4,200/8,000) x 500,000 = 262,500 people.

Rewrite the radicand as two factors, one of which is a perfect cube.

3/250

Answers

[tex]\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ \cfrac{3}{250}\qquad \begin{cases} 250=2\cdot 5\cdot 5\cdot 5\\ \qquad 2\cdot 5^3 \end{cases}\implies \cfrac{3}{5^3\cdot 2}\implies \cfrac{1}{5^3}\cdot \cfrac{3}{2} \\\\\\ 5^{-3}\cdot \cfrac{3}{2}\implies (5^{-1})^3\cdot \cfrac{3}{2}[/tex]

Write the prime factorization of 18. Use exponents when appropriate and order the factors from least to greatest (for example, 

2

2

3

5

).

Submit


Answers

Prime factorization is when the numbers are divided until they cannot be divided anymore.

For example, the number 18.

18/2 = 9

9/3 = 3

So the prime factorization is 2,3,3

As it says use exponents: There are 2 threes. 3 x 3 is the same as 3²

3² x 2 should be your answer

hope this helps
Final answer:

The prime factorization of 18 is 2 x 3², dividing 18 first by 2 and then by 3 twice.

Explanation:

The prime factorization of a number represents that number written as the product of its prime factors. Let's take 18 as an example. First, we will find the smallest prime number that can divide 18, which is 2. When 18 is divided by 2, the quotient is 9. Then, we continue to divide 9 by the smallest possible prime number, which is 3. We can divide 9 by 3 two more times. Therefore, the prime factorization of 18 is 2 x 3², where 2 and 3 are the prime factors and ² is an exponent indicating that 3 is a factor twice.

Learn more about Prime Factorization here:

https://brainly.com/question/33295472

#SPJ3

Difference between ellipse circle parabola and hyperbola equations

Answers

The equation of a circle is:

(x - h)² + (y - k)² = r²

The equation of a parabola is:

(x - h)² = 4p(y - k)

The equation of an ellipse is: 

[tex] \frac{(x-h) ^{2} }{ a^{2} } + \frac{(y-k) ^{2} }{ b^{2} } = 1[/tex]

where variables a and b and the two different measurements of the vertices

The equation of a hyperbola is: 

[tex] \frac{((x-h)^{2} }{ a^{2} } - \frac{(y-k)^{2} }{ b^{2} } = 1[/tex] if it is with a horizontal transverse axis

[tex] \frac{ (y-k)^{2} }{ b^{2} } - \frac{ (x-h)^{2} }{ a^{2} } = 1[/tex] if it is with a vertical transverse axis

Notice these have a subtraction operation, the exact opposite ellipse. 


The solution is: these have a subtraction operation, the exact opposite ellipse.

What is parabola?

The parabola is a plane curve which is mirror symmetrical and is approximately U-shaped. It fits several superficial different mathematical descriptions.

here, we have,

The equation of a circle is:

(x - h)² + (y - k)² = r²

The equation of a parabola is:

(x - h)² = 4p(y - k)

The equation of an ellipse is:

(x - h)²/ a² + (y - k)²/ b² = 1

where variables a and b and the two different measurements of the vertices

The equation of a hyperbola is:

(x - h)²/ a² - (y - k)²/ b² = 1 if it is with a horizontal transverse axis

(y - k)²/ b² - (x - h)²/ a²  = 1 if it is with a vertical transverse axis

Notice these have a subtraction operation, the exact opposite ellipse.

learn more on parabola:

https://brainly.com/question/1615961

#SPJ2

A metal washer is made by cutting out a circle 13.2 mm in diameter from a larger circle. To the nearest tenth, what is the area of the washer?

Answers

The area of the washer will be found by calculating the area of the shaded part.
Area of larger circle:
A=πr²
r=4.4+(13.2/2)=11 mm
thus
A=π×11²=380.13

Area of the small circle:
A=π×(13.2/2)²=136.85 mm

The area of the washer will be:
380.13-136.85
=243.28
~243.3 mm²

A man weighs 180 lb. He jogs a mile in 8 minutes. How many calories has he used up?

Answers

A man weighing 180 lb has burned approximately 100 calories by jogging one mile, based on the average estimate that jogging one mile burns almost 100 calories.

The question relates to the calculation of calories burned during exercise, specifically jogging. Based on the information provided that running or jogging one mile burns almost 100 calories, we can calculate the energy expenditure for a man weighing 180 lb who jogs a mile in 8 minutes.

Since the provided calories burned per mile is an average, the actual number might vary slightly based on individual metabolism and effort level, but it serves as a useful approximation.

To determine how many calories the man has used up, we can use the given information:

Running or jogging one mile burns almost 100 calories.The man jogs a mile, which means he has burned approximately 100 calories for that activity.

Therefore, the man has burned approximately 100 calories during his 8-minute mile jog.

Find the surface area of the equilateral triangular pyramid.

Answers

area  = 3 * 1/2 * 10 * 12 + 1/2 * 12 * 8  =  180 + 48 = 228 answer
the answer is 228. hoped this helped

When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. at the end of the 6th year, the tree was \frac{1}{5} taller than it was at the end of the 4th year. by how many feet did the height of the tree increase each year?

Answers

Let the height increase each year be x. If the initial height was 4 ft, then its height after 6 years would be 4 + 6x. This is 1/5 taller than its initial height, so
4 + 6x = 4(1 + 1/5)6x = 4/5x = 2/15 ft per year

The temperature has been going down at a constant rate. In 3 hours it went down 15 degrees. Which expression best shows the temperature change each hour? A.−15⋅−3 B. 15⋅3 C. −15÷3 D.15÷3

Answers

Hey there!

I think it’s either A or D

Hope this helps!

Find the distance d from (6.1, 5.9) to (-5.9, -4.1) .

A.
6.63
B.
15.62
C.
22.00
D.
244.00

Answers

distance formula:
√(x1-x2)^2+(y1-y2)^2

Answer:

your answer is B

Step-by-step explanation:

use the distance formula and the pythagorean theorem to find the distance, to the nearest tenth, from T (4,-2) to (-2,3).

Answers

Answer:
distance = [tex] \sqrt{61} [/tex] which is 7.8 to the nearest tenth

Explanation:
The distance between two points can be calculated using the following formula:
distance = [tex] \sqrt{(x2 - x1)^2 + (y2 - y1)^2} [/tex]

In the given, we have:
point (4,-2) representing (x1,y1)
point (-2,3) representing (x2,y2)

Substitute with the givens in the above formula to get the distance as follows:
distance = [tex] \sqrt{(-2-4)^2 + (3--2)^2} = \sqrt{61} [/tex] which is 7.8 to the nearest tenth

Hope this helps :)
T=(4, -2)=(xt, yt)→xt=4, yt=-2
P=(-2, 3)=(xp, yp)→xp=-2, yp=3

d=sqrt[ (xp-xt)^2+(yp-yt)^2 ]
d=sqrt[ (-2-4)^2+(3-(-2))^2 ]
d=sqrt[ (-6)^2+(3+2)^2 ]
d=sqrt[ 36+(5)^2 ]
d=sqrt( 36+25 )
d=sqrt(61)
d=7.810249676
To the nearest tenth
d=7.8

Answer: The distance, to the nearest tenth, from T (4,-2) to (-2,3) is 7.8


The probability of picking two black marbles from a box at random without replacement is 1091 . The probability of drawing a black marble first is 514 . What is the probability of picking a second black marble, given that the first marble picked was black?

Answers

The correct answer to the question above is 4/13. Below it shows how it's achieved...

EQUATION: 
P(A|B) = P(A ∩ B)
                 P(B)

Step 1: Identify 
P(B) = 5/14 
P(A ∩ B) = 10/91

Step 2: Insert into the equation and Solve
10/91 ÷ 5/14
Use reciprocal to divide
10/91 × 14/5 
Simplify the answer 
140/455
Simplified (Final Answer)
4/13 






Final answer:

The probability of picking a second black marble, given that the first marble picked was black, is 1.

Explanation:

To find the probability of picking a second black marble, given that the first marble picked was black, we can use the formula for conditional probability: P(A|B) = P(A and B)/P(B).

In this case, A represents the event of picking a black marble on the second draw, and B represents the event of picking a black marble on the first draw.

We are given that P(B) = 514, and the probability of picking two black marbles without replacement is 1091. Therefore, P(A and B) = P(A|B) * P(B) = (1091/514) * (514/1091) = 1.

So, the probability of picking a second black marble, given that the first marble picked was black, is 1.

Write an inequality for the given statement: The sum of –18 and a number is more than 22. A. 18 – n < 22 B. 18 – n > 22 C. –18 + n < 22 D. –18 + n > 22

Answers

- 18 + n > 22

Obviously the answer is D

PROBABILITY PROBLEM! NEED HELP AND EXPLAIN/SHOW WORK

Answers

10 + 5 + 1 = 16 - all balls
The probability that the first ball is red:
[tex]P(R)=\dfrac{10}{16}=\dfrac{5}{8}[/tex]
The probability that the second ball is black:
[tex]P(B)=\dfrac{1}{15}[/tex]
Together:
[tex]P(R)\cdot P(B)=\dfrac{5}{8}\cdot\dfrac{1}{15}=\dfrac{1}{24}[/tex]

What is the value of z in the equation 3z − 7 = 14? (4 points)

Answers

good day ^-^ ///////////////

Answer:

7

Step-by-step explanation:

Graphic lesions to solve the system Y equals 1/3 X +6 and why equals 1/3 X +4

Answers

For this case we have the following functions:
 y = (1/3) x + 6
 y = (1/3) x + 4
 We note that both lines have the same slope in this case given by:
 m = 1/3
 Therefore, the lines are parallel.
 As they are parallel, they are not cut at any point.
 Thus, the system of equations has no solution.
 Answer:
 The system has no solution (parallel lines)
Graph the equations to solve the system Y equals 1/3 X +6 and y equals 1/3 X +4
Following the formula: y=mx+b,where:m= slopeb=y-interceptAs observed in the given equations, they have the same slope which is equal to 1/3 but each have different y-intercept which is 6 and 4.
Note that two lines are parallel if their slopes are equal and they have different y-intercepts. 
Upon graphing, it had seen that the two functions are parallel.See attached picture for the graph.

Which of the following sets shows all the numbers from the set {2, 3, 4, 5} that are part of the solution to the inequality 4n + 6 > 22?

Answers

5 is the only number to satisfy the equation. If you were to plug in 2, 3, or 4, you'd get these results.

[tex]4(2) + 6 > 22 \\ 8 + 6 > 22 \\ 14 > 22 \\ \: which \: is \: not \: true[/tex]
[tex]4(3) + 6 > 22 \\ 12 + 6 > 22 \\ 18 > 22 \\ \: also \: not \: true[/tex]

Answer:

the answer is  

{2, 3, 4}

Step-by-step explanation:

if 5 is the only one that works and it has to be inequality  so  

{2, 3, 4} can be the only answer

Johnny flips a coin three times. what is the probability he lands on heads every time

Answers

there is a 1/2 probability of landing on heads each flip

he flips it 3 times

so 1/2 x 1/2 x 1/2 = 1/8 probability of getting heads every time.

[tex] |\Omega|=2^3=8\\
|A|=1\\\\
P(A)=\dfrac{1}{8}=12.5\% [/tex]

HHHEEELLLPPP PLEASE
1] Amanda’s gross annual salary is $62,112.

What is the maximum amount of rent she can afford to pay?

Round your answer to the nearest dollar.

A $2588
B $1866
C $1449
D $1236

2] Jonathan is signing a lease for an apartment that rents for $1240/month.

How much will he pay to move in if he must pay the first and last months’ rent and a security deposit equal to 80% of his monthly rent?

A $2976
B $3472
C $3542
D $3720

Answers

Part 1
Rule of thumb for month rent: Rent ≤ 28% of monthly gross income

Then,
Month gross income = $62,112/12 = $5,176
Affordable rent = 0.28*5176 = $1,449.28
Rounding to nearest dollar;
Affordable rent = $1,449.
The correct answer is C.

Part 2
Monthly rent = $1240
Security deposit = 80% of rent = 0.8*1240 = $992
Amount to be paid = 1240*2 + 992 = $3472

The correct answer is B.

Answer:

first one would be c

Step-by-step explanation:

the rational roots of a polynomial function F(x) can be written in the form p/q,
where p is a factor of the constant term of the polynomial, and q is a factor of the leading coefficient

TRUE OR FALSE??

Answers

ANSWER

True

EXPLANATION

According to the Rational Roots Theorem,the rational roots of a polynomial function F(x) can be written in the form

[tex] \frac{p}{q} [/tex]

,

where p is a factor of the constant term of the polynomial, and q is a factor of the leading coefficient.

The polynomial must be written in standard form.

This means the polynomial must be written in descending powers of x.

The leading term is the first term of a polynomial written in standard form.

The constant term is the term independent of x.

Find the product. 4(−12)(−3) A) −144 B) −96 C) 144 D) 72

Answers

For this case we have the following expression:
 4 (-12) (- 3)
 Rewriting we have:
 We multiply 4 by -3:
 (-12) (- 12)
 We rewrite:
 (-1) (- 1) (12) (12)
 (1) (12) (12)
 (12) (12)
 144
 Answer:
 the product 4 (-12) (- 3) is:
 C) 144

Rewrite in simplest radical form x56x16

Answers

I must assume that by "x56" you actually meant "x^56," or "x to the 56th power.

If that's the case, then  x^56 * x^16 = x^(56+16) = x^72, or "x to the 72nd power".

If at all possible, see a teacher regarding your "x56x16."  It's very ambiguous.

A radio tower casts a shadow of 8.2 ft long and a 36-inches and a fourth-grader walking home cast a shadow of 1.5 inches. How tall is the radio tower?

Answers

Answer: 196.8

Step-by-step explanation:

Start off by reading the problem.

A radio tower casts a shadow of 8.2 ft long and a 36-inches and a fourth-grader walking home cast a shadow of 1.5 inches. How tall is the radio tower?

Then take what you know from the problem and put it in a fraction looking thing:

like this:

1.5 8.2

__ = __

36 x

So after you've done this you will want to:

Multiply 36 x 8.2 = 295.2

take 295.2 then Divide by 1.5

=196.8

Answer:

196.8

Step-by-step explanation:

helpppp! pls! 10 points

Answers

The product of the lengths of the parts of the chord is equal to the product of the lengths of the parts of the chord that divides it.

(7 cm)*(8 cm) = n*(4 cm)
(7*8 cm²)/(4 cm) = n
14 cm = n

[tex]n=\boxed{14}cm[/tex]

What is the volume of a cylinder with a diameter of 12 in. and a height of 7 in.?

Answers

Answer

Find out the  volume of a cylinder .

To prove

Formula

[tex]Volume\ of\ cylinder = \pi r^{2}h[/tex]

Where r is the radius and h is the height.

As given

Diameter of 12 in. and a height of 7 in.

[tex]Radius = \frac{Diameter}{2}[/tex]

[tex]Radius = \frac{12}{2}[/tex]

Radius = 6 in

[tex]\pi = 3.14[/tex]

put all the values in the formula

[tex]Volume\ of\ cylinder = 3.14\times 6\times 6\times 7[/tex]

                                          = 791.28 in³

Therefore the volume of the cylinder is 791 .28 in³ .

Write the sum in sigma notation. 5 + 10 + 15 + 20 + 25 + 30 + 35 + 40 + 45 + 50

Answers

The sum in sigma notation for the sequence will be as follows:
From
5 + 10 + 15 + 20 + 25 + 30 + 35 + 40 + 45 + 50
first term=5
common difference=5
number of terms=10
n=nth term
thus the sum will be:
(i=2 to 10)∑(5(n-1)+5)

Please mark brainliest

The sum in sigma notation for the sequence as follows:

From

5 + 10 + 15 + 20 + 25 + 30 + 35 + 40 + 45 + 50

first term=5

common difference=5

number of terms=10

n=nth term

therefore the total will be:

(i=2 to 10)∑(5(n-1)+5

Other Questions
The ADA (1990) was designed to prohibit discrimination based on A)age. B)race C)national origin. D)physical or mental ability. which is a table of values for y = x - 12 Cette station d'accueil permet de se rveiller au son de votre iPod ou d'une station FM. Elle est dote d'un cran rtroclair et permet de recharger automatiquement la batterie de votre iPod. Tuner numrique FM intgr. Une entre auxiliaire qui vous permet de raccorder par cble une autre source audio pour plus de musique. Facilement transportable, cette station d'accueil fonctionne sur piles ou secteur. Vous pouvez l'emmener partout avec vous parce qu'il peut se connecter grce la wifi. Cette publicit est pour quel objet? C'est une publicit pour To reduce the stress of losing her job, alicia enrolled in a work retraining program that led to full-time employment. alicia's behavior best illustrates: PLZ HELP 20 POINTS!What is72 in simplest radical form? Cardiovascular Disease has long been an epidemic in our country but not in some European countries, even though they have a diet high in fat, alcohol, and many of them smoke (the French being the best example). What explanation can you provide for that? The running back for the Bulldogs football team carried the ball 3 times for a total loss of 6 3/4 yards. Find the average change in field position on each run. Enter the average change as a simplified mixed number. A 5.00 L sample of helium at STP expands to 20.0 L. What is the new pressure on the gas? Most elements, with the exception of a few like hydrogen, want to have _________ electrons in the outer energy level. Iron, an important component of the steel used in the construction of buildings, bridges, and railroads, combines with oxygen to form fe2o3, which we recognize as rust. at room temperature, iron Linguists agree the ability to speak a language sets humans apart from other animals because we can Which statement best describes the Englishmen's ranking on the island while Crusoe is back in England? Arthur took out a 20 year loan for $60,000 at an APR of 4.4% compounded monthly. Approximately how munch would save if he paid it off 3 years early Apex A. $4516.32,B. $1129.08,C. $376.36,D.$877.96 Comprehension The Universal Declaration of Human Rights is __________ . a. a standard toward which all nations should strive b. international law which is enforced in courts c. a copy of the American Bill of Rights d. a dream that has never been actually approved by the nations of the world Please select the best answer from the choices provided A B C D Which part of the brain is the "executive suite" that controls almost all brain activity?which part of the brain is the "executive suite" that controls almost all brain activity?cerebral cortexdiencephalonbrain stemcerebellum? Please help meo()o True or FalseGenetics account for all differences in animals. 10 point! Please Help! ASAP!!How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth. A 8.8 cubic inchesB 10.1 cubic inchesC 14.7 cubic inchesD 22.3 cubic inches What law passed by congress in the first two decades of the nineteenth century upheld slavery? Someone please help me?