Step-by-step explanation:
yes, the 2 events are entirely independent
neither one influences the other.
Answer:yes
Step-by-step explanation:
I need help with all 4 questions plz
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1070 and a standard deviation of 204. Scores on the ACT test are normally distributed with a mean of 19.1 and a standard deviation of 5.2. It is assumed that the two tests measure the same aptitude, but use different scales.
(A) If a student gets an SAT score that is the 51-percentile, find the actual SAT score. Round answer to a whole number. SAT score =
(B) What would be the equivalent ACT score for this student? Round answer to 1 decimal place. ACT score =
(C) If a student gets an SAT score of 1417, find the equivalent ACT score. Round answer to 1 decimal place. ACT score =
Answer:
a) SAT score = 1075
b) ACT score = 19.2.
c) ACT score = 27.9.
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.
(A) If a student gets an SAT score that is the 51-percentile, find the actual SAT score
SAT scores have mean 1070 and standard deviation 204, so [tex]\mu = 1070, \sigma = 204[/tex]
51th percentile means that Z has a p-value of 0.51, so Z = 0.025. The score is X. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.025 = \frac{X - 1070}{204}[/tex]
[tex]X - 1070 = 0.025*204[/tex]
[tex]X = 1075[/tex]
SAT score = 1075.
(B) What would be the equivalent ACT score for this student?
ACT scores have mean of 19.1 and standard deviation of 5.2, which means that [tex]\mu = 19.1, \sigma = 5.2[/tex]. The equivalent score is X when Z = 0.025. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.025 = \frac{X - 19.1}{5.2}[/tex]
[tex]X - 19.1 = 0.025*5.2[/tex]
[tex]X = 19.2[/tex]
ACT score = 19.2.
(C) If a student gets an SAT score of 1417, find the equivalent ACT score.
Z-score for the SAT:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1417 - 1070}{204}[/tex]
[tex]Z = 1.7[/tex]
Equivalent score on the ACT:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.7 = \frac{X - 19.1}{5.2}[/tex]
[tex]X - 19.1 = 1.7*5.2[/tex]
[tex]X = 27.9[/tex]
ACT score = 27.9.
Tammy has scored 82, 78, and 93 on her previous three tests. What score does she need on her next test so that her average (mean) is 81?
Answer:
She needs a grade of 71 on her next text.
Step-by-step explanation:
Mean of a data-set:
The mean of a data-set is the sum of all values in the data-set divided by the number of values.
Tammy has scored 82, 78, and 93 on her previous three tests.
Thus, her grades are 82, 78, 93 and x, in which x is her grade in the fourth test.
There are 4 tests.
What score does she need on her next test so that her average (mean) is 81?
We have to find x when the mean is 81. So
[tex]\frac{82 + 78 + 93 + x}{4} = 81[/tex]
[tex]253 + x = 324[/tex]
[tex]x = 324 - 253[/tex]
[tex]x = 71[/tex]
She needs a grade of 71 on her next text.
Find the area of the figure.
7 cm
4 cm
4 cm
10 cm
10 cm
8 cm
19 cm
area cm2
Answer:
3404800
Step-by-step explanation:
7 x 4 x 4 x 10 x 10 x 8 x 19 x 2 = 3404800
Hope this helps!!!
Trying to finish this test at 3:30 am plz help
Given:
The given sum is:
[tex]\sum _{k=4}^9(5k+3)[/tex]
To find:
The expanded form and find the sum.
Solution:
We have,
[tex]\sum _{k=4}^9(5k+3)[/tex]
The expanded form of given sum is:
[tex]\sum _{k=4}^9(5k+3)=(5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)[/tex]
[tex]\sum _{k=4}^9(5k+3)=(20+3)+(25+3)+(30+3)+(35+3)+(4+3)+(45+3)[/tex]
[tex]\sum _{k=4}^9(5k+3)=23+28+33+38+43+48[/tex]
[tex]\sum _{k=4}^9(5k+3)=213[/tex]
Therefore, the correct option is C.
Ignacio shares 2.1 liters of water equally into 7 containers. How many milliliters are in each container?
Answer: 300 ml
Step-by-step explanation:
First and foremost, we should note that:
1000 milliliters = 1 liter
Therefore, 2.1 liters = 2.1 × 1000 = 2100 millimeters.
Therefore, since the liters of water is divided into 7 containers, the vlaue in each container will be:
= 2100 millimeters / 7
= 300 millimeters
I need help, please !
Answer: the answer is 8 because
Step-by-step explanation:
Please help me solve this problem
Answer:
90°
Step-by-step explanation:
It's simple, the angle of a line is 180°
∠EFG=90°
Line GD-∠EFG=180°-90°=90°
Please mark brainliest!
How can you get a good credit score?
Pay credit card and loan payments late.
Don't apply for credit.
Pay your loan payments on time, every time.
Go above your credit limit.
Answer:
Pay your loan payments on time, every time.
Step-by-step explanation:
The other answers either hurt or have no effect on your credit score.
The option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.
To get a good credit score, you should follow these steps:
Pay your loan payments on time, every time: Timely payments are one of the most crucial factors in building a good credit score. Consistently paying your bills and loans on or before the due date shows lenders that you are a responsible borrower.
Don't apply for credit excessively: Each time you apply for new credit, a hard inquiry is made on your credit report, which can temporarily lower your score. Applying for multiple credit accounts in a short period may signal financial instability to lenders.
Avoid options 1 and 4:
Paying credit card and loan payments late: Late payments negatively impact your credit score and show a lack of responsibility in managing credit.
Going above your credit limit: Maxing out your credit cards or going above the credit limit can harm your credit score as it indicates a higher risk of defaulting on your debts.
Hence, the option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.
Learn more about Loan here:
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4.Kini ang gipasa-pasa nga kinaiya sa pamaagi sa pamuyo sa mga tawo sa
usa ka lugar.
A.Kultura B.Materyal C. Di-Materyal
D.Kinaiya
aano mag two dinhi
Answer:
A
Step-by-step explanation:
The distance traveled by a certain truck varies directly to the amount of fuel the truck consumes. The truck traveled 130 miles on 10 gallons of fuel. At the same rate, how far would the truck travel on 6 gallons of fuel?
Answer: 78 Miles
Step-by-step explanation:
Find the perimeter of a quadrilateral with vertices at C (-2, 1), D. (2, 4), E (5,0), and. F (1, -3)
12 units
O 16 units
O 20 units
O 24 units
(PLZ HELP DUE IN 10 MIN)
Eber can mow 4 lawns in one hour. The equation l = 4h can be used to determine the number of lawns, 1. Eber can
mow in h hours. Create a graph to represent the number of lawns Eber can mow in 0 to 5 hours. Click on the
coordinate plane to place the points in the correct locations.
Answer:
See attachment for plot
Step-by-step explanation:
Given
[tex]l = 4h[/tex]
Required
Represent the scenario on a graph
When h = 0
[tex]l = 4h= 4 * 0 = 0[/tex]
When h = 1
[tex]l = 4 * 1 = 4[/tex]
When h = 2
[tex]l = 4 * 2 = 8[/tex]
When h = 3
[tex]l = 4 * 3 = 12[/tex]
When h = 4
[tex]l = 4 * 4 = 16[/tex]
When h = 5
[tex]l = 4 * 5 = 20[/tex]
So, we have:
[tex](h,l) = (0,0)[/tex]
[tex](h,l) = (1,4)[/tex]
[tex](h,l) = (2,8)[/tex]
[tex](h,l) = (3,12)[/tex]
[tex](h,l)= (4,16)[/tex]
[tex](h,l)= (5,20)[/tex]
See attachment for plot
.a) Imagine you and your friend get a new card with an 18% APR and a $10 minimum payment and use this card to purchase the same mobile phone. If the first friend pays the minimum each month, while the second friend pays $20, what will their balances be after one month?
Answer:
yes
Step-by-step explanation:
yes yes you need to do the thing yeah
Answer:
yes
Step-by-step explanation:
a) Imagine you and your friend get a new card with an 18% APR and a $10 minimum payment and use this card to purchase the same mobile phone. If the first friend pays the minimum each month, while the second friend pays $20, what will their balances be after one month?
Use the Law of Cosines to find the measure of ∠A. Round to the nearest degree.
a = 12, b = 5, c = 9
Use: a² = b² + c² – 2bc cos A
Answer:
Solution given:
a = 12, b = 5, c = 9
We have
: a² = b² + c² – 2bc cos A
12²=5²+9²-2×5×9 cos A
12²-25-81=-90 cos A
cos A=38/-90
A=cos -1(-19/45)
A=115°
is a required answer.
Daniel measures the growth of his tomato plant and records the results in the table.
What was the average rate of growth during this time period for his plant to thenearest tenth?
Answer:
1.2
Step-by-step explanation: it just is
PLEASE HELP MATH QUESTION 10 POINTS HELP ASAP PLEASE HELP
QUESTION IS IN LINKED IMAGE
Answer:
2x-3y=7. Linear
Blue graph. Linear
Table 3. nonlinear
y=-4. Linear
y=2x^2-4. Nonlinear
y=3/x-2. Nonlinear
what is the factored from of the polynomial function f(x)=x3-6x2+11x-6
Answer:
[tex]f(x) =(x-1)(x-2)(x-3)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^3-6x^2+11x-6[/tex]
Required
The factored form
[tex]f(x) = x^3-6x^2+11x-6[/tex]
Split
[tex]f(x) =x^3 -3x^2- 3x^2 +2x +9x -6[/tex]
Rearrange as:
[tex]f(x) = x^3 -3x^2 +2x - 3x^2+9x -6[/tex]
Factorize
[tex]f(x) = x(x^2 - 3x + 2) - 3(x^2 - 3x + 2)[/tex]
Factor out [tex]x^2 - 3x + 2[/tex]
[tex]f(x) = (x^2 - 3x + 2)(x - 3)[/tex]
Expand
[tex]f(x) = (x^2 - 2x - x + 2)(x - 3)[/tex]
Factorize
[tex]f(x) = (x(x - 2) - 1(x - 2))(x - 3)[/tex]
Factor out [tex]x - 2[/tex]
[tex]f(x) = (x - 1) (x - 2)(x - 3)[/tex]
Which set of three angles could represent the interior angles of a triangle?
O 19°, 70°, 91°
O 47°, 12°, 31°
O 50°, 20°, 20°
O 25°, 25°, 100°
Answer:
19 degrees, 70 degrees, and 91 degrees.
Step-by-step explanation:
The interior angles of a triangle sum to 180 degrees. 19 plus 91 is equal to 110, add 70 to 110 and you'll get 180. :)
A new car is purchased for $18,000 and over time its value depreciates by one half
every 4 years. What is the value of the car 17 years after it was purchased, to the
nearest hundred dollars?
Answer:
900
Step-by-step explanation:
THIS IS THE CORRECT ANSWER
Reflect P (-5,10) over the x-axis. What are the coordinates of the reflected point? What quadrant is the reflected point in?
Answer:
I need the answer 2 QwQ....Consider the following question: How many years has each person played on the soccer team? Which best describes the question? It is a statistical question because the data may vary for each player. It is a statistical question because the data will all be the same. It is not a statistical question because the answers are all whole numbers. It is not a statistical question because there is only one answer per person.
Answer:
Its the first one
Step-by-step explanation:
It is a statistical question because the data may vary for each player. :)
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 41 feet, and the length of the other base is 36 feet. The height is 20 feet. What is the area of this section of the deck?
Answer:
Step-by-step explanation:
Phoenix and Stella found a box with a total of 216
books that needed to be shelved.Phoenix said he can
arrange all the books on 18 shelves with 12 books on
each shelf. Stella says she can arrange all the books
on 9 shelves with 24 books on each shelf. Who is?
Answer:
432
Step-by-step explanation:
216 + 216
= 432
Hope this helps!
Please mark me Brainliest!
Have a nice day
The following two-way table describes student's
after school activities. Find the probability that a
randomly selected student works, given that it's a
senior.
Grade
Sports
Music/Drama
Work
Sophomore
20
7
3
Junior
20
13
2
Senior
25
5
5
P( Work | Senior) = [?]
Round to the nearest hundredth.
Answer:
[tex]P(Work | Senior) = 0.14[/tex]
Step-by-step explanation:
Given
The attached table
Required
[tex]P(Work | Senior)[/tex]
This is calculated using:
[tex]P(Work | Senior) = \frac{P(Work \ n\ Senior)}{P(Senior)}[/tex]
This gives:
[tex]P(Work | Senior) = \frac{n(Work \ n\ Senior)}{n(Senior)}[/tex]
From the table:
[tex]n(Work \ n\ Senior) = 5[/tex]
[tex]n(Senior) = 25 + 5+ 5 = 35[/tex]
So:
[tex]P(Work | Senior) = \frac{5}{35}[/tex]
[tex]P(Work | Senior) = 0.14[/tex]
Answer:
14%
Step-by-step explanation:
add 25+5+5 (because that is all the numbers in the 'Seniors' row) and then take the 5 that is in the 'Work' column and put that over 25. (5/25 fraction as a percent is 14).
HELPP IF WRONG ILL REPROT
A store employee conducted a survey of 590 randomly selected customers. According to the survey, 177 of the customers often use coupons.
How many people would you expect to use a coupon if all 5,000 people in the community visited the store?
Question 7 options:
5,310 people
1,250 people
3,750 people
1,500 people
Answer:
Solution given
:total n[U]=590
customers using coupon n[C]=177
the percentage of all customers who often use coupons=177/590×100%=30%.
If n[U]=5000
no of customer using coupon be x
we have
30% of 5000=x
x=30/100×5000
x=1500
So1500 people would you expect to use a coupon if all 5,000 people in the community visited the store.A shopkeeper earns a profit of rupees 300 on Monday, a loss of rupees 150 on Tuesday, than a loss of rupees 200 on Wednesday and profit of rupees 50 and rupees 75 on thursday and friday respectively.Find his net profit or loss in 5 days.
Answer:
75 rupees in net profit
Step-by-step explanation:
Loss indicates subtraction, and profit indicates addition
300-150-200+50+75=75
what is 15.9% of 261
Answer:
41.499
Step-by-step explanation:
Answer:
41.499
Step-by-step explanation:
261x15.9%=261x159/100=41.499
what's the slope for coordinates (-5,-5) (5,3)?
Answer:
4/5
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (-5 - 3)/(-5 - 5)
slope = -8/(-10)
slope = 4/5
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