the distribution of scores on the sat is approximately normal with a mean of 500 and a standard deviation of 100. if the state college only accepts students from the top 40% of the sat distribution, what is the minimum sat score needed to be accepted?
Answers
To be in the top 10% of the population, a student must have a minimum SAT score of 628.
What is the standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.The square root of the variance is used to determine the standard deviation. An alternative method of calculating it is to identify the mean of a data set, compare each data point to the mean, square the differences, add them all up, divide by the number of points in the data set minus 1, and then calculate the square root.So, the minimum SAT score needed to be in the highest 10% of the population:
This is the 90th percentile, which is X when Z has a p-value of 0.9, or X when Z = 1.28. It is calculated as 100 - 10 = X.
\(\begin{aligned}&Z=\frac{X-\mu}{\sigma} \\&1.28=\frac{X-500}{100} \\&X-500=1.28(100) \\&X=628\end{aligned}\)
To be in the top 10% of the population, a score of 628 on the SAT is required.
Therefore, to be in the top 10% of the population, a student must have a minimum SAT score of 628.
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The correct question:
The distribution of scores on the SAT is approximately normal with a mean of mu = 500 and a standard deviation of sigma = 100. For the population of students who have taken the SAT.
What is the minimum SAT score needed to be in the highest 10% of the population?
Related Questions
97% of steel is made of iron. If there are 500 lbs of steel, approximately how many pounds are iron?
Answers
Answer:
485 Pounds of Iron
Step-by-step explanation:
500 x 97% or 500 x 0.97 = 485.
To improve the safety of motorists, modern cars are built so that the front-end crumples upon impact. A 1200 kg car is travelling at a constant velocity of 8 m/s. It hits a wall and comes to a complete stop. If the wall exerts a force of 38000 N on the car, how long would it take the car to come to rest?
Answers
The required time that took the car to stop is 0.25 seconds.
Given that,
A 1200 kg car is traveling at a constant velocity of 8 m/s. It hits a wall and comes to a complete stop. If the wall exerts a force of 38000 N on the car, how long would it take the car to come to rest is to be determined.
Distance is defined as the object traveling at a particular speed in time from one point to another.
Here,
u = 8
V = 0
force = 38000
m = 1200
Calculating accelartion, by newton's second law,
force = ma
38000 = 1200a
a = 31.6,
Applying the first equation of motion,
v = u + at
0 = 8 + -31.6t [took negative because the acceleration is in opposite direction]
8/31.6 = t
t = 0.25
Thus, the required time that took the car to stop is 0.25 seconds.
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can you please answer this question
Answers
Answer:
1/40
219/250
69/16
Step-by-step explanation:
1.
0.025=(025)/(1000)=1/40
2.
0.876=876/1000=219/250
3.
4.3125=43125/10000=1725/400=69/16
Camille and hiroki have decided to start walking for exercise. camille is going to walk 7 miles the first day and 3 miles each day after that. hiroki is too busy to walk on the first 2 days, so he decides to walk 5 miles each day until he has walked the same number of miles as camille. if camille and hiroki will have walked the same number of miles, how many days will camille have walked?
Answers
Camille will have walked for 5 days when she and Hiroki have walked the same number of miles.Let's call the number of days Camille walks "x". After the first day, she walks 3 miles each day, so her total distance after x days is 7 + 3(x - 1) miles.
Hiroki starts walking later, but he walks 5 miles each day. To make up for the two days he missed, he walks 5 miles each day for x - 2 days. His total distance after x days is 5(x - 2) miles.
For Camille and Hiroki to have walked the same number of miles, their distances must be equal:
7 + 3(x - 1) = 5(x - 2)
Expanding the right side:
7 + 3x - 3 = 5x - 10
Combining like terms:
3x + 7 = 5x - 3
Subtracting 3x from both sides:
7 = 2x - 3
Adding 3 to both sides:
10 = 2x
Dividing both sides by 2:
5 = x
So, Camille will have walked for 5 days when she and Hiroki have walked the same number of miles.
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Find the value of x????
Answers
Step-by-step explanation:
m∠1 + m∠2 = 180°
(4x - 20) + (x - 15) = 180°
4x + x - 20 - 15 = 180°
5x - 35 = 180°
5x = 180° + 35°
5x = 215°
x = 215/5
x = 43°
#CMIIWWhat is \(\frac{t}{8} = 58\) 100 points! Who ever answers it right and EXPLAIN IT GOOD FIRST gets a free brainliest!
Answers
T = 464.
8 times 58 = 464, so we do inverse operations
Answer: Use inverse operations to isolate the t; (multiplication.)
t/8 * 8 = t
58 * 8 = 464
The equation now looks like this:
t = 464
There is nothing left to simplify, so this is your answer.
Hope this helps!
1.
Which statement about f(x) = 2x2 – 3x - 5 is true?
A The zeros are - and -1, because f(x) = (x + 1)(2x + 5).
2
5
B The zeros are - and 1, because f(x) = (x - 1)(2x + 5).
2
C The zeros are -1 and, because f(x) = (x + 1)(2x-5).
The zeros are 1 and, because f(x) = (x - 1)(2x - 5).
Answers
9514 1404 393
Answer:
C. The zeros are -1 and 5/2, because f(x) = (x + 1)(2x-5).
Step-by-step explanation:
The zeros of the function are the values that make the factors zero. The factors need to multiply out to give the original standard-form equation.
The sign of the constant (-5) tells you the product of the constants in the factors must be -5. That is only true for choices B and C.
Additionally, the x-term needs to match the result of multiplying out the factors.
B. (x -1)(2x +5) = 2x^2 +3x -5 . . . . . . . . . wrong x-term (not -3x)
C. (x +1)(2x -5) = 2x^2 -3x -5 . . . . . . . . . matches the given f(x)
The factors of C are zero when x=-1, x=5/2.
Alicia’s family wants to save for a four-year college education for her. After some research, they estimate that the total cost will be about $78,000. How much should her family save if she is 12 years old and plans to go to college in 6 years?
Select one:
$6,500 each month
$1,100 each month
$4,350 each month
$550 each month
Answers
Answer:
Step-by-step explanation:
$1,100
Find a function f whose graph is a parabola with the given vertex and that passes through the given point. vertex (−1, 3); point (−2, −2)
Answers
Answer:
Equation of parabola in vertex form:
y = -5( x + 1)² + 3
Equation of parabola in standard form:
y = -5x² -10x - 2
Step-by-step explanation:
The vertex form equation for a parabola is
y = a(x - h)² + k
where (h, k) is the vertex and a is a constant
Given (h, k) = (- 1, 3)
h = -1 , k = 3
y = a( x - (-1) )² + 3
y = a(x + 1)² + 3
To find a, we know the parabola passes through point(- 2, - 2). Plug in x = -2, y = -2 and solve for a
- 2 = a( -2 + 1)² + 3
-2 = a(-1)² + 3
-2 = a · 1 + 3
-2 = a + 3
Subtract 3 from both sides:
-2 - 3 = a + 3 -3
-5 = a
or
a = -5
Equation of parabola in vertex form:
y = -5( x + 1)² + 3
The standard form of this parabola is y = ax² + bx + c
Expand (x + 1)² = x² + 2 · 1 · x + 1² = x² + 2x + 1
Therefore
y = -5( x + 1)² + 3 becomes
y = -5( x² + 2x + 1) + 3
y = -5x² -10x - 5 + 3
y = -5x² -10x - 2
what (-3) x 2 equal?
\(( - 3) \times 2\)
Answers
Answer:
-6
Explanation:
(-3) · 2
= -6
[Think of it as -3, twice]
(-3) + (-3)
= -6
Answer:
-3×2 = -6 (you add the negative to the 6 because negative times positive is negative)
Brian buys a computer for £3100. It depreciates at a rate of 5% per year. How much will it be worth in 5 years? Give your answer to the nearest penny where appropriate.
Answers
Answer: 2398.72
Step-by-step explanation:
Simply do 3100*0.95*0.95*0.95*0.95*0.95 ≈ 2398.72
Hope it helps <3
Answer:
$2398.72( I cannot use your dollar sign).
Step-by-step explanation:
If it decreases by 5% every year, then 3100*0.95=2945. Then 2945*0.95=2797.75. Then the 3rd year is 2797.75*0.95=2657.8625. Then 2,657.8625*0.95=2524.96938. Lastly, in the fifth year, it is 2524.96938*0.95=2398.72091. Then, I round off to the nearest penny(hundredths). The answer I get is $2398.72!
The discriminant of the equation x^2 - 4x + 4 = 0 shows there will be solution(s).
1. one real
2. one imaginary
3. two imaginary
4. no real or imaginary
Answers
Answer:
one real
Answer: 1
Step-by-step explanation:
Givens
a = 1
b = -4
c = 4
Discriminate
Discriminate = sqrt(b^2 - 4*a*c)
Discriminate = sqrt( (-4)^2 - 4 * (1)(4) )
Discriminate = sqrt ( 16 - 16)
Discriminate = sqrt(0)
Discriminate = 0
That means the 1 real root is - b / 2a = 4/(2*1) = - -2 = 2
A friend of yours was interested in determining whether the news media noticed campus events. Your friend decided to do a content analysis of the local paper.Your friend counted each story that mentioned his university's name. At the end of two months, 136 events had been counted. Your friend asked for your comments on his research. You told your friend:
Answers
The inference is that the person will tell the friend that he did manifest coding and he should have recorded the base.
What is an inference?The options are:
He did manifest coding.
He did latent coding.
He should have recorded the base.
He did manifest coding and he should have recorded the base.
It should be noted that an inference simply means the conclusion that can be deduced based on the information given.
In this case, the friend was interested in determining whether the news media noticed campus events and decided to do a content analysis of the local paper.
Therefore, the the person will tell the friend that he did manifest coding and he should have recorded the base.
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You told your friend: d. he did manifest coding and he should have recorded the base.
How to determine the true statement?The missing options are:
a. he did manifest coding. b. he did latent coding.
c. he should have recorded the base.
d. he did manifest coding and he should have recorded the base.
e. he did latent coding and he should have recorded the base.
From the question, we understand that:
Each story is counted136 events were counted after 2 monthsAs a general rule, manifest coding include making use of the contents at the surface gotten from available data and questionnaires.
Because the stories that mentioned the university name can be gotten from publications, it means that your friend used manifest coding
Hence, the true statement is (d) he did manifest coding and he should have recorded the base.
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How much greater is the sum of the first 50 counting numbers greater than the sum of the first 100 counting numbers?.
Answers
The difference between the sum of the first 50 counting numbers and the sum of the first 100 counting numbers is 3775.
Here we have to find the difference between the first 50 counting numbers and first 100 counting numbers.
Formula to find the sum of the number n is:
\(S_{n}\) = n/2( 2a + (n-1)d)
a = first number of the series
d = common difference
n = number of series
Sum of first 50 counting numbers:
\(S_{50}\) = 50/2( 2× 1 + (50-1) 1)
= 25 × 51
= 1275
Sum of first 100 counting numbers:
\(S_{100}\) = 100/2 ( 2×1 + (100- 1) 1)
= 50 × 101
= 5050
Now the difference between them:
\(S_{100}\) - \(S_{50}\) = 5050 - 1275
= 3775
Therefore the difference is 3775.
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Find the volume of radius 7 cm in diameter of 12 cm in 3.14
Answers
The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.
To find the volume of a sphere with a radius of 7 cm, we can use the formula:
V = (4/3) * π * r^3
where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.
The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:
V = (4/3) * π * (6 cm)^3
V = (4/3) * 3.14 * (6 cm)^3
V = (4/3) * 3.14 * 216 cm^3
V = 904.32 cm^3
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Brainliest question please help me please
Answers
9514 1404 393
Answer:
34.44
Step-by-step explanation:
The distance formula can help you find the lengths of the diagonal sides.
d = √((x2 -x1)^2 +(y2 -y1)^2)
DO = √((6 -0)^2 +(0 -7)^2) = √(36 +49) = √85
OG = √((3 -6)^2 +(-4 -0)^2) = √(9 +16) = 5
The length of NG is 3 -(-3) = 6.
The perimeter is the sum of the side lengths:
P = DI +IN +NG +GO +OD = √85 +5 +6 +5 +√85 = 16 +2√85
P ≈ 34.43909 ≈ 34.44 . . . units
A person at a restaurant gets a 35% discount on her total bill. If her bill was $120, how much is her discount? How much is the total bill?
Answers
Answer:
so the discount is 42 and the bill is $78
Step-by-step explanation:
0.35*120=42
discount is 42
120-42=78
the bill is $78
c) Uranus has three moons less than Saturn. Together, they have thirty-three moons. How many
moons does each planet have?
Answers
Answer:
Uranus : 15
Saturn : 18
Step-by-step explanation:
Uranus = U
Saturn = S
1) U= S - 3
2) U+ S = 33
1)* U - S = -3
2)* U + S = 33
1)* + 2)* 2U = 30, so U = 15
Then Saturn will have 18 (because they add up to 33)
Round 2798.01 to 2 significant figure
Answers
The approximation of 2798.01 to 2 significant figures is 2800
How to round the expression to 2 significant figures?The expression is given as
2798.01
The approximation is given as
2 significant figures
The above means that we approximate the given expression such that only 2 significant figures are left
In this case, the 2 significant figures in the expression 2798.01 are 2 and 7
So, we start the approximation from 9
When 9 is approximated, the expression becomes
2798.01 = 2800
Hence, the approximation of 2798.01 to 2 significant figures is 2800
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Find the missing side.
Round your answer to the nearest tenth
Answers
The price of a sweater was reduced from $20 to $12. By what percentage was the price of the sweater reduced.
Answers
▪ Answer:
40%
▪ Step-by-step explanation:
Hi there !
$20 ........ 100%
$12 ..............x %
x = 12×100/20
= 1200/20
= 60%
100% - 60% = 40%
Good luck !
4/9 x 3/8 in simplest form
Answers
Answer:
4/9 x 3/8 = 12/72 as simplified as 1/6 in fraction form. 4/9 x 3/8 = 0.1667 in decimal form.
Step-by-step explanation:
surface area of a cube if the sides are 0.7
Answers
Answer:
\(SA = 2.94 \, \textrm{units}^2\)
Step-by-step explanation:
The surface area of a regular 3D figure can be represented as:
\(SA = A_{\textrm{\,1 side}} \cdot (\# \textrm{ of sides})\).
Therefore, the surface area of a cube is:
\(SA = s^2 \cdot 6\)
where \(s\) is the length of a side.
To solve this problem, simply input the given side length into the above formula:
\(SA = 0.7^2 \cdot 6\)
and simplify.
\(SA = 0.49 \cdot 6\)
\(SA = 2.94 \, \textrm{units}^2\)
What is the answer to this question?
Answers
thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 144 millimeters, and a variance of 49 . if a random sample of 50 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 2.6 millimeters? round your answer to four decimal places.
Answers
The answer is 0.0173. And this can be solved by the Central Limit Theorem.
This is a question that can be solved using the Central Limit Theorem. The Central Limit Theorem states that, as the sample size gets larger, the distribution of the sample mean tends to follow a normal distribution.
To answer the question, we need to use the formula for the probability that the sample mean will differ from the population mean by more than 2.6 millimeters. This formula is P(x<μ-2.6) + P(x>μ+2.6), where μ is the population mean and x is the sample mean.
In this case, the population mean is 144 millimeters and the sample mean is 50. Using this formula, we can calculate the probability that the sample mean would differ from the population mean by more than 2.6 millimeters as 0.0173. Rounding to four decimal places, the answer is 0.0173.
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You have collected 20 samples of 100 items each. The total number of defective items is 75. Determine the upper control limit (UCL) at a 99% confidence interval (z value =3 ). Answer A. 0.7935 B. 0.0945 C. 0.165 D. 0.0375
Answers
The upper control limit (UCL) at a 99% confidence interval with a z value of 3 is 0.165.(option c)
In statistical process control, the UCL is a key parameter used to determine the upper boundary for acceptable variation in a process. To calculate the UCL for a defect rate, we use the formula UCL = p' + z * sqrt(p'(1-p')/n), where p' is the proportion of defects in the sample, z is the z value corresponding to the desired confidence level, and n is the sample size.
In this case, we have collected 20 samples of 100 items each, and the total number of defective items is 75. Therefore, the proportion of defects in the sample is 75/2000 = 0.0375. Using the formula mentioned earlier, with a z value of 3 and n value of 100, we can calculate the UCL as follows: UCL = 0.0375 + 3 * sqrt(0.0375 * (1-0.0375)/100) ≈ 0.165.
Therefore, the correct answer is C. 0.165.
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Expand and simplify
√2(3-4√2)
Answers
\(3\sqrt{2} - 4 * (\sqrt{2})^2 = 3\sqrt{2} - 8\)
Answer = \(3\sqrt{2} - 8\)
Angelica spent 2/3
of an hour studying for her big science test each night Monday and Tuesday. She spent
an hour finishing her writing assignment on Wednesday and
of an hour doing her math on Thursday. How many minutes did she spend doing her homework and studying this week?
______ minutes
i need help and fast! please
Answers
She spend 1.167 minutes doing her homework and studying this week.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that Angelica spent 2/3 of an hour studying for her big science test each night Monday and Tuesday.
She spent 7/10 an hour finishing her writing assignment on Wednesday and 4/5 of an hour doing her math on Thursday.
Thus we have;
4/5 + 2/3 + 7/10
LCM will be;
5 x 3 x2 = 30
Therefore,
24/30 + 20/30 + 21/30
= 65/30 = 1.167
Hence, she spend 1.167 minutes doing her homework and studying this week.
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can you help answer part e of this question? (with workings out)
Answers
Answer:
0.86
Step-by-step explanation:
Probability of at least one set is green is
P = P(GG) + P(Green,not Green) + P(Not green, Green)
= (0.8 X 0.6) + (0.8x 0.4) + (0.2x 0.3)
=> 0.48 + 0.32 + 0.06
= 0.86
Hello i need help ASAP i cant figure this out its just like part A
and i i have 1 hour
Answers
Number of unmarked wolves: 928 - 232 = 696
probability of next wolf being unmarked = 696 / 928 = 0.75
0.75 x 100 = 75%
Answer: 75%