Answer:
0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean score of 501 points, and a standard deviation of 85 points.
This means that [tex]\mu = 501, \sigma = 85[/tex]
What is the probability that the student will have scored greater than 600 points on the quantitative section of the SATs?
This is 1 subtracted by the p-value of Z when X = 600. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{600 - 501}{85}[/tex]
[tex]Z = 1.165[/tex]
[tex]Z = 1.165[/tex] has a p-value of 0.878.
1 - 0.878 = 0.122
0.122 = 12.2% probability that the student will have scored greater than 600 points on the quantitative section of the SATs.
Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.90 inches. (Each question is worth 3 points) What percentage of full-term babies are between 19 and 21 inches long at birth
Answer:
66.48% of full-term babies are between 19 and 21 inches long at birth
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean length of 20.5 inches and a standard deviation of 0.90 inches.
This means that [tex]\mu = 20.5, \sigma = 0.9[/tex]
What percentage of full-term babies are between 19 and 21 inches long at birth?
The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 20.5}{0.9}[/tex]
[tex]Z = 0.56[/tex]
[tex]Z = 0.56[/tex] has a p-value of 0.7123
X = 19
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{19 - 20.5}{0.9}[/tex]
[tex]Z = -1.67[/tex]
[tex]Z = -1.67[/tex] has a p-value of 0.0475
0.7123 - 0.0475 = 0.6648
0.6648*100% = 66.48%
66.48% of full-term babies are between 19 and 21 inches long at birth
A total of 622 tickets were sold for the school play. They were either adult tickets or student tickets. There were 72 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
257
Step-by-step explanation:
A newly electric vehicle is designed to have a battery range of 400 miles and a standard deviation of 20 miles. assume the battery range distribution is normally distributed. the company tests 39 vehicles to determine if the battery is operating at specifications. the average range of the 39 vehicles is 398 vehicles with a standard deviation of 20 miles. find the 95% confidence interval for average battery range of the newly produced vehicle.
a) (393.72 , 406.28)
b) (391.52, 404.48
c) (393.52, 406.48)
d) (391.72, 404.28)
Answer:
b) (391.52, 404.48)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 39 - 1 = 38
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 38 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0244
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0244\frac{20}{\sqrt{39}} = 6.48[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 398 - 6.48 = 391.52.
The upper end of the interval is the sample mean added to M. So it is 398 + 6.48 = 404.48.
The CI is (391.52, 404.58), and the correct answer is given by option B.
What is the area of this composite figure
48.56cm2
49.12cm2
74.24cm2
36.56cm2
Answer:
D. 36.56 cm²
Step-by-step explanation:
The composite figure is composed of a rectangle and two semicircles.
The two semicircles makes 1 full circle.
Thus:
Area of the composite figure = area of rectangle + area of circle
= L*W + πr²
L = 6 cm
W = 4 cm
r = ½(4) = 2 cm
Area = 6*4 + π*2²
Area = 24 + 12.56
Area = 36.56 cm²
For football the KLAA south division has 6 teams. Find the number of different ways that first, second and third place can be decided. NO LINKS!!!
Answer:
20 ways
Step-by-step explanation:
by using combination rule :
6C3 = 6! /(3! × 3!)
= 6×5×4×3! / 3! × 3×2×1
= 20 ways
==========================================================
Explanation:
Order matters because we want to distinguish between first place, second place, and third place winners. So something like ABC is different from BCA.
We have 6 ways to pick a first place winner, then 5 for second place, then 4 for third place. Overall, there are 6*5*4 = 30*4 = 120 permutations
You could use the nPr formula with n = 6 and r = 3 as an alternative method
[tex]_n P _r = \frac{n!}{(n-r)!}[/tex]
The exclamation marks indicate a factorial.
Verify the identity:
sin(A + B)
sin( A B)
tan(-4) + tan(B)
tan(4) tan(B)
Answer:
i think is the answer is
sin(A+B)
Answer:
Numerator:
sin (A + B) = sin A cos B + cos A sin BDivide by cos A cos B:
sin A /cos A + sin B /cos B = tan A + tan BDenominator:
sin (A - B) = sin A cos B - cos A sin BDivide by cos A cos B:
sin A /cos A - sin B /cos B = tan A - tan BConnect all bits together to get:
sin(A + B) / sin(A - B) = (tan A + tan B) / (tan A - tan B)Tickets to a local movie were sold at $6.00 for adults and $4.50 for students. If 240
tickets were sold for a total of $1275.00, how many student tickets were sold?
Answer:Set it up as two equations. Start off by stating that x= the number of adult tickets, and y= the number of student tickets.
6x+4.5y=2175
x+y=430
State that y = 430-x, and substitute it into the second equation 6x +4.5(430-x)= 2175.
Solve for x. Then plug in what you get for x into the x+y=430 equation and solve for y. Your number of adult tickets should equal 160, and your number of child tickets should equal 270.
Step-by-step explanation:
Charlotte completed 12 pages of her 18-page report. What percent has she completed thus far?
Answer:
Charlotte has 23 of her book left to read. She can read 29 of it each day.
Step-by-step explanation:
Answer:
66.6666666667%
Step-by-step explanation:
12/18 = x/100
cross product
18x = 12(100)
18x = 1200
18× = 1200
__ _____
18 18
x=66.6666666667%
Kate's dog was learning to balance a ball on his nose. The
first day he balanced the ball 6 out of 20 times; the second
day, 8 out of 25 times. Which day did he do better?
Answer:
The answer is the first day
Drag each coordinate air to the correct location on the table
Quadrant
Quadrant
Quadrant
Quadrant
Reset
Next
Answer:
1-3, 2-1, 3-3, 4-4, 5-1, 6-3
Step-by-step explanation:
Its the top number in a row to colum
What is the measure <G?
(Explain how you got the answer if you could so I can understand.)
Answer:
59°
Step-by-step explanation:
½×(175-57) = ½×118 = 59°
Find all working solutions for x.
✓(x-5) - 5 = 3
Answer:
Step-by-step explanation:
✓(x-5) - 5 = 3
✓(x-5) - 8 = 0
(✓(x-5))² - 8² = 0
x-5 - 64 = 0
x - 69 = 0
x = 69
brainliest for answer
Answer:
what is the question?
Step-by-step explanation:
Answer:
i answered
Step-by-step explanation:
Teresa is loading her car with boxes that each weigh 4 pounds. If Teresa loads 9 of these boxes, find the combined weight of the boxes.
A.42 3/4
B.13 3/4
C.36 3/4
D.40 1/4
algebra 2 question need help.
Answer: Choice B) -1, -2, -3, -4, -5
All of the x coordinates change from positive to negative. Meaning that something like x = 2 becomes x = -2.
More specifically, the point (2,4) moves to (-2,4).
The y coordinate of each point stays the same.
2/3 divided by 7/12
PLSLSLSLSLSLLSLSL
Answer:
0.00793650794 or 8/7 in fraction form
Step-by-step explanation:
Find the reciprocal of the divisor
The graph shows Micah’s pay for working different numbers of hours. Graph of a diagonal line on a coordinate plane with ALTDCTime worked in hoursALTDC on x-axis and ALTDCPay in dollarsALTDC on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (2, 30), (4, 60), A and (14, 210). A is at (8, 120) Part A What are the coordinates of Point A on the graph? Enter your answer in the boxes. ( , ) LIVE Part B What does the ordered pair for Point A represent? Use the drop-down menus to show your answer. When Micah works hours, he makes $ .
Answer:
Step-by-step explanation:
The coordinates for point A is (8,120)
A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a 6.
Answer:
1/6
Step-by-step explanation:
Write down the image of A(5,8) under reflection about Y-axis is
Answer:
Step-by-step explanation:
use formula
P(x,)=P'(-x,y)
A(5,8)=A'(-5,8)
Please help meeee!!!!!!!!
Answer:
[tex]840[/tex]
Step-by-step explanation:
This is a good example of permutations. For the first slot on his shelf, Dylan has 7 trophies to choose from. Then 6, 5, and so on. Since he is only fitting 4 trophies on his shelf, we only continue until we have the slots filled. Thus, we have [tex]7\cdot 6 \cdot 5\cdot 4=\boxed{840\:\text{ways}}[/tex] to do so.
*Note: We do not divide by [tex]4![/tex] because in this case, order matters. A different order of the same four books still produces different arrangements, so the order matters.
help me plz find the value of x for which QR is parallel to RS
Given:
QR is parallel to RS.
To find:
The value of x.
Solution:
In the given figure, we have,
[tex]PR=12[/tex]
[tex]RT=2x-2 [/tex]
[tex]QS=21[/tex]
[tex]ST=3x-1[/tex]
Using basic proportionality theorem (BPT), we get
[tex]\dfrac{PR}{RT}=\dfrac{QS}{ST}[/tex]
[tex]\dfrac{12}{2x-2}=\dfrac{21}{3x-1}[/tex]
On cross multiplication, we get
[tex]12(3x-1)=21(2x-2)[/tex]
[tex]36x-12=42x-42[/tex]
[tex]36x-42x=12-42[/tex]
[tex]-6x=-30[/tex]
Divide both sides by -6.
[tex]x=\dfrac{-30}{-6}[/tex]
[tex]x=5[/tex]
Therefore, the value of x is 5.
The time it takes glyceraldehyde-3-phosphate dehydrogenase to convert aldehyde to carbolic acid follows a normal distribution with a mean of 19 milliseconds and standard deviation of 4.04 milliseconds.
a) What is the probability that it will take glyceraldehyde-3-phosphate dehydrogenase between 15 milliseconds and 20 milliseconds to convert aldehyde to carbolic acid?
b) What is the probability that it will take glyceraldehyde-3-phosphate dehydrogenase more than 20 milliseconds to convert aldehyde to carbolic acid?
c) What is the probability that it will take glyceraldehyde-3-phosphate dehydrogenase less than 15 milliseconds to convert aldehyde to carbolic acid?
For each probability, transform the normal random variable X with mean 19 and s.d. 4.04 to a standard normal random variable Z with mean 0 and s.d. 1, using the rule
Z = (X - 19) / 4.04
(a) Pr[15 ≤ X ≤ 20] = Pr[(15 - 19)/4.04 ≤ (X - 19)/4.04 ≤ (20 - 19)/4.04]
… ≈ Pr[-0.9901 ≤ Z ≤ 0.2475]
… ≈ Pr[Z ≤ 0.2475] - Pr[Z ≤ -0.9901]
(since Z is a continuous random variable)
… ≈ 0.4367
(b) Pr[X > 20] = Pr[(X - 19)/4.04 > (20 - 19)/4.04]
… ≈ Pr[Z > 0.2475]
… ≈ 1 - P[Z ≤ 0.2475]
(taking the complement probability)
… ≈ 0.4023
(c) Pr[X < 15] = 1 - Pr[15 ≤ X ≤ 20] - Pr[X > 20]
(also taking the complement)
… ≈ 0.1611
If I can buy 4 calculators for $190, how much does one cost?
I would really appreciate if someone answered.
Answer:
47.50 per calculator
Step-by-step explanation:
Take the total cost and divide by the number of calculators to get the cost of one calculator
190/4 =47.50
One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known demographic facts about the population. The 2010 census found that 13.9%, or 32,576,000, of the 235,016,000 adults, aged 18 and over, in the United States identified themselves as of Hispanic origin. Is the value 13.9% a parameter or a statistic?
a. 13.9% is a parameter derived from a national Census that sampled 32,576,000 adults
b. 13.9% is a statistic derived from a national Census that sampled 32,576,000 adults
c. 13.9% is a parameter derived from a national Census that includes all individuals in a population
d. 13.9% is a statistic derived from a national Census that includes all individuals in a population.
Answer: Choice C
13.9% is a parameter derived from a national Census that includes all individuals in a population
======================================================
Explanation:
A census is a term in statistics that means that you survey or poll every individual in the population. In this case, the population is the set of people in the United States. As you can probably guess, a census takes a very long time, requiring lots of money and a lot of people to conduct it. The US census takes place every 10 years. The last of which happened in 2020. Despite the long time gap, census workers are always gearing up in the background getting ready for the next census on the horizon (since it's such a massive undertaking).
Because taking a census in statistics requires so much energy, it's often more effective to form a sample and try to see what the characteristics of that sample are like. If the sample is representative enough (ie is unbiased), then the sample statistics should be fairly close to the parameter counterparts. In this situation, we could maybe randomly select 10 states of the 50 total, and then ask everyone in those states what their ethnicity is. In this case, we're using a cluster sampling technique.
pleaseee help me I really need thissssss
Find the value of x.
135°
5x
Answer:
Step-by-step explanation:
180-135=45
5x=45°
45 divided by 5 =9
X=9°
Answer: 9
Step-by-step explanation: The answers 9 cus 135+5x has to equal 180 so u do 180 -135 =45 than divid 45 to 5 which equals 9
What is the length of NP?
Answer:
[tex]c=\sqrt{174}[/tex]
Step-by-step explanation:
First, find the length of MP. This can be done with the Pythagorean Theorem.
We can use x as angle MP.
a² + b² = c²
10²+ 7² = x²
100 + 49 = x²
x² = 149
Take the square root to get
x = √(149)
Now do the Pythagorean Theorem for Triangle MNP. We can again use x for angle NP.
a² + b² = c²
5² + √(149)² = c²
25 + 149 = c²
c² = 174
c = √(174)
PLS DONT LIE OR FREE FLAG FOR U AND NO LINKS OR FLAGED
Answer:
16 ^3/2
Step-by-step explanation:
16 ^3/2 = 64, while all other choices are equal to 16.
Engro Incorporation wants to evaluate an acquisition of an equipment worth $200,000. Its marginal tax rate is 40 percent. If purchased, the depreciation of equipment will take place at straight line method. The salvage value of the equipment is assumed to be $20,000 at the end of its useful life of 10 years. If the equipment is purchased, Engro will finance the asset through borrowing from bank at annual before tax cost of 10%. further, if Engro decides to purchase the equipment, it will incur $1000 as annual maintenance expense each year. These expenses would not be incurred if the computer is leased. If leased, Engro can have the equipment at $28000 pre-tax rate per year, which is to be paid at the beginning of each year. Company’s weighted average after tax cost of capital is 12 percent.
Compute the net advantage to leasing (8 marks)
What alternative, leasing or owning, should be chosen
Answer:
I din nosjwjfkwifowockwofkwkfkekfkamcqkkr1o4k30rjdogiq
show that the subset is the partial ordering on the power set of S.
refer to the attachment