All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top academic charter school for free. Students who achieve a score of 92 or greater are admitted. This year the mean on the entrance exam was an 82 with a standard deviation of 4.5. a.What is the percentage of students who have the chance to attend the charter school
Answer:
1.32% of students have the chance to attend the charter school.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.
This means that [tex]\mu = 82, \sigma = 4.5[/tex]
a.What is the percentage of students who have the chance to attend the charter school?
Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{92 - 82}{4.5}[/tex]
[tex]Z = 2.22[/tex]
[tex]Z = 2.22[/tex] has a pvalue of 0.9868
1 - 0.9868 = 0.0132
0.0132*100% = 1.32%
1.32% of students have the chance to attend the charter school.
ONLY 20 MIN LEFT HELPPPP!!!!
Which value is included in the solution set for the inequality graphed on the number line?
A. –5
B. –2
C. 0
D. 3
Answer:
A
Step-by-step explanation:
The inquality is
[tex]x < - 2[/tex]
So x can only be - 5
what is 32x32x32x32x32x32x32x32
Answer:
1.0995116e+12
Step-by-step explanation:
Answer:
1,099,511,627,776
Step-by-step explanation:
32x32x32x32x32x32x32x32=1,099,511,627,776
Neveah is baking pancakes. If each pancake requires 3/4 cups of flour, how many pancakes can she make with 4 cups of flour?
Answer:
3 pancakes
Step-by-step explanation:
Answer:
3 pancakes
Step-by-step explanation:
Multiply 3/4 by 4/1 and you get 12/4 (multiple the top numbers and the bottom numbers). Simplify that down, 12 divided by 4 is 3. So, 3 whole pancakes
The sum of four numbers is 540. One of the
numbers, x, is 50% more than the sum of the other
three numbers. What is the value of x?
Answer:
chale. necesita. 20 caracteres
i need help. please, I do not understand much
Answer:
x ≥ -6
Domain is just all of the possible x values in a list
A value of 0.5 that is added to and/or subtracted from a value of x when the continuous normal distribution is used to approximate the discrete binomial distribution is called Group of answer choices probability density factor. factor of conversion. continuity approximation factor. continuity correction factor.
Answer:
continuity correction factor
Step-by-step explanation:
A value of 0.5 that is added to and/or subtracted from a value of x when the continuous normal distribution is used to approximate the discrete binomial distribution is called continuity correction factor.
Reason -
A continuity correction factor is used when you use a continuous probability distribution to approximate a discrete probability distribution.
answer all three questions please
Answer:
A iS THE ANSWER
Step-by-step explanation:
Marcy sees a game, Rolling-in-Gold, in which a contestant rolls a
cube with five red sides one gold side. A player wins the game
by rolling a gold. Is Rolling-in-Gold a fair game? If not, how
could the game be made fair? Explain.
Answer:
it's not fair, because it's only a 1 in 6 chance of rolling gold.
it would be fair if 3 of the 6 sides were gold
Answer:
it aint fair it only 1/6 listen to the other guy
Step-by-step explanation:
i needed points sorry
What is the answer of this question?
Answer:
Step-by-step explanation:
maybe D im not sure tho
Answer:
The answer is A)
review the graph. What is the component form and direction of the vector shown
a.) ⟨7,-3⟩ and 23 degrees
b.) ⟨-7,3⟩ and 23 degrees
c.) ⟨7,-3⟩ and 157 degrees
d.) ⟨-7,3⟩ and 157 degrees
Answer:
D
Step-by-step explanation:
Ed2021
Find the value of x in the triangle shown below
X=2
X=5
X= √5
X= √17
Answer:
the answer is [tex]\sqrt{17}[/tex]
Step-by-step explanation:
the Pythagorean theorem is [tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]. c is always the hypotenuse (the longest side) and a and b are the legs (the shorter sides) so 1 squared plus 4 squared is 17. there is no whole square root of 17 so the answer is [tex]\sqrt{17}[/tex]
Find angle measure angle AEC?
Answer:
An arc is a segment of a circle around the circumference. An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in radians or degrees, and we can easily convert between each with the formula
π
r
a
d
i
a
n
s
=
180
°
.
Step-by-step explanation:
Suppose that a researcher using data on class size (CS) and average test scores from 100 thirdgrade classes, estimates the following OLS regression. Test̂Score = 520.4 − 5.82 × CS n = 100, R 2 = 0.08, SER = 11.5
a. A class has 22 students. What is the regression’s prediction for this classroom’s average test score?
b. Last year, a class had 19 students, and this year it has 23 students. What is the regression’s prediction for the change in the classroom average test score?
c. The sample average class size across the 100 classrooms is 21.4. What is the sample average of the test scores across the 100 classrooms?
d. What is the sample standard deviation of test scores across the 100 classrooms?
This question is incomplete, the complete question is;
Suppose that a researcher using data on class size (CS) and average test scores from 100 third grade classes, estimates the following OLS regression. Test-Score = 520.4 - 5.82 × CS, n = 100, R² = 0.08, SER = 11.5
a. A class has 22 students. What is the regression's prediction for this classroom's average test score?
b. Last year, a class had 19 students, and this year it has 23 students. What is the regression's prediction for the change in the classroom average test score?
c. The sample average class size across the 100 classrooms is 21.4. What is the sample average of the test scores across the 100 classrooms?
d. What is the sample standard deviation of test scores across the 100 classrooms?
Answer:
a)
the regression's prediction for this classroom's average test score is 392.36
b)
the regression's prediction for the change in the classroom average test score is -23.28
c)
the sample average of the test scores across the 100 classrooms is 395.852
d)
the sample standard deviation of test scores across the 100 classrooms is 11.92887
Step-by-step explanation:
Given the data in the question;
Test-Score = 520.4 - 5.82 × CS, n = 100, R² = 0.08, SER = 11.5 -----1
the general formula for the average test score is as follows;
Test score = ^β₀ + ( ^β₁ × CS ) -------- 2
the general for change in test score ;
ΔTest Score = β[tex]_{ class-size[/tex] × ΔClass size -------- 3
General formula for the sum of squared residuals SSR
SSR = ( n - 2 ) SER² ----- 4
General formula for total sum of squares TSS
TSS = SRR / 1 - R² -------- 5
General formula for sample standard deviation;
Sy = √(TSS / (n-1) ) ------ 6
now, from the given formula;
^β₀ = 520.4
aslo, β[tex]_{ class-size[/tex] = ^β₁ = - 5.82
so
a) A class has 22 students. What is the regression's prediction for this classroom's average test score?
given that class size CS is 22, to get the regression's prediction for this classroom's average test score, we make use of formula 2 above;
Test score = ^β₀ + ( ^β₁ × CS )
so we substitute
Test score = 520.4 + ( -5.82 × 22 )
Test score = 520.4 + ( - 128.04 )
Test score = 520.4 - 128.04
Test score = 392.36
Therefore, the regression's prediction for this classroom's average test score is 392.36
b) Last year, a class had 19 students, and this year it has 23 students. What is the regression's prediction for the change in the classroom average test score.
we make use of formula 3 above
ΔTest Score = β[tex]_{ class-size[/tex] × ΔClass size
we substitute
ΔTest Score = -5.82 × ( 23 - 19 )
ΔTest Score = -5.82 × 4
ΔTest Score = -23.28
Therefore, the regression's prediction for the change in the classroom average test score is -23.28
c) The sample average class size across the 100 classrooms is 21.4. What is the sample average of the test scores across the 100 classrooms?
we make use of formula 2 above;
Test score = ^β₀ + ( ^β₁ × CS )
we substitute
Test score = 520.4 + ( -5.82 × 21.4 )
Test score = 520.4 + ( -124.548 )
Test score = 520.4 - 124.548
Test score = 395.852
Therefore, the sample average of the test scores across the 100 classrooms is 395.852
d) What is the sample standard deviation of test scores across the 100 classrooms.
first we make use of formula 4 above; to calculate the sum of squared residuals SSR
SSR = ( n - 2 ) SER²
we substitute
SSR = ( 100 - 2 ) (11.5)²
SSR = 98 × 132.25
SSR = 12,960.5
Also, for total sum of squares TSS, we use formula 5
TSS = SRR / 1 - R²
we that R² = 0.08; from the given formula
so we substitute
TSS = 12,960.5 / 1 - 0.08
TSS = 12,960.5 / 0.92
TSS = 14087.5
so, the sample standard deviation will be;
from formula 6 above
Sy = √(TSS / (n-1) )
we substitute
Sy = √(14087.5 / (100-1) )
Sy = √(14087.5 / 99)
Sy = √142.297979
Sy = 11.92887
Therefore, the sample standard deviation of test scores across the 100 classrooms is 11.92887
4a²-8ab+4b=????????????
Step-by-step explanation:
4a² - 8ab + 4b²
= (2a)² - 2 * 2a * 2b + (2b) ²
= (2a - 2b) ²
Hope it helps :)
There are 3 girls for every 2 boy at a party. There are 20 boys at the party.how many girl are there
Answer:
there will be 30 girls at the party
Answer:
There are 30 girls at the party.
Step-by-step explanation:
20 / 2 = 10
10*3 = 30
You divide the 20 boys at the party from the "every 2 boys", and you should get 10.
You then multiply the 10 by 3, for the 3 girls at the party and you should get 30 as an answer, so therefore you should get 30 as your answer.
What’s the dependent variable
Suppose your friends parents invest $20,00 in an account paying 5% compounded annually. What will the balance be after 8 years? The account balance will be $
Answer:
$2954.91 end of year eight
Step-by-step explanation:
2000 x 1.05^8 = 2000 x 1.04775 = $2954.91
Proof:
2000 x 1.05 = 2100 end of year one
2100 x 1.05 = 2205 end of year two
2205 x 1.05 = 2315.25 end of year three
2315.25 x 1.05 = 2431.01 end of year four
2431.01 x 1.05 = 2552.56 end of year five
2552.56 x 1.05 = 2680.19 end of year six
2680.19 x 1.05 = 2814.20 end of year seven
2814.20 x 1.05 = $2954.91 end of year eight
The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.1242 + 0.32 +3.3
for 2010 through 2016. Use this model to predict the number of vinyl album sales in the country in the year 2020 where
(2 = 10) (1 point)
• The number of vinyl album sales in the country in the year 2020 will be 20.5 million
The number of vinyl album sales in the country in the year 2020 will be 18.3 million
The number of vinyl album sales in the country in the year 2020 will be 7.74 million
O The number of vinyl album sales in the country in the year 2020 will be 21.12 million
Answer:
b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
Step-by-step explanation:
Given - The number of vinyl album sales (in millions) in a country x years after 2010 can be modeled by y = 0.12 x² + 0.3 x +3.3 for 2010 through 2016.
To find - Use this model to predict the number of vinyl album sales in the country in the year 2020 where x = 10
a) The number of vinyl album sales in the country in the year 2020 will be 20.5 million.
b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
c) The number of vinyl album sales in the country in the year 2020 will be 7.74 million.
d) The number of vinyl album sales in the country in the year 2020 will be 21.12 million.
Proof -
Given that,
The equation be - y = 0.12 x² + 0.3 x +3.3
Now,
Put x = 10 in above equation we get
y = 0.12×10² + 0.3×10 +3.3
= 0.12×100 + 3 + 3.3
= 12 + 6.3 = 18.3
⇒y = 18.3
∴ we get
The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
So,
The correct option be - b) The number of vinyl album sales in the country in the year 2020 will be 18.3 million.
Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3). Find the coordinates of G.
The coordinates of G are
Answer:
Coordinates of G = [tex](2,0)[/tex]
Step-by-step explanation:
Given: Three vertices of parallelogram DEFG are D(-4,-2), E(-3,1) and F(3, 3).
To find: coordinates of G
Solution:
Midpoints of a side joining points [tex](a,b),\,(c,d)[/tex] are given by [tex](\frac{a+c}{2},\frac{b+d}{2})[/tex]
Diagonals of a parallelogram bisect each other.
So,
Midpoint of DF = Midpoint of EG
Midpoint of DF = [tex](\frac{-4+3}{2},\frac{-2+3}{2})=(\frac{-1}{2},\frac{1}{2})[/tex]
Midpoint of EG = [tex](\frac{-3+x}{2},\frac{1+y}{2})[/tex]
Let coordinates of G be [tex](x,y)[/tex]
Therefore,
[tex](\frac{-1}{2},\frac{1}{2}) =(\frac{-3+x}{2},\frac{1+y}{2})\\\\\frac{-1}{2}=\frac{-3+x}{2},\,\frac{1}{2}=\frac{1+y}{2}\\\\-1=-3+x,\,1=1+y\\\\x=-1+3,\,y=1-1\\x=2,\,y=0[/tex]
So,
Coordinates of G = [tex](2,0)[/tex]
Please help me find the answer.
Answer:
a = 16 and b = 2
Step-by-step explanation:
What is the slope of the line (5, 1) and (-3, -1)
Help pleaseeeeeeee thanks
Answer:
so the answer is 5
Step-by-step explanation:
the equation will be for this is
7x + 20 = 55
7x = 55-22
7x = 35
x = 35÷7
x=5
QUESTION 2
[16]
Given the sequence: 2; 5; 8; 11; 14...
Prove that none of the terms of this sequence are perfect squares.
PLEASE HELP!!
Answer:
✓2=1.41421
✓5=2.23607
✓8=2.82842
✓11=3.31662
✓14=3.74166
Step-by-step explanation:
Therefore the numbers are increasing by three so they cant be perfect square
9514 1404 393
Answer:
squares are of the form 3n or 3n+1; the sequence is of the form 3n-1, so none of the sequence will be a square
Step-by-step explanation:
The given arithmetic sequence has first term 2 and common difference 3, so its explicit formula is ...
an = 2 +3(n -1) = 3n -1 . . . . for counting numbers n
__
All integers are of one of these forms: 3n-1, 3n, 3n+1, for some integer n. The squares of these are ...
(3n -1)² = 9n² -6n +1 = 3(3n² -2) +1 = 3k+1 for some k
(3n)² = 3(3n²) = 3k for some k
(3n +1)² = 9n² +6n +1 = 3(3n² +2) +1 = 3k+1 for some k
Note that none of these squares is of the form 3n -1.
Hence, the square of an integer cannot be in the given sequence.
CAN SOMEONE HELP IM SO CONFUSED PLEASE
I need help fast please
Answer:
what
Step-by-step explanation:
where is the question its not showing
How to solve this problem I need HELP!!!!
Answer:
a
Step-by-step explanation:
Answer:
to solve this problem I would convert -12/5 into the decimal -2.4 so that I could see it more clearly on the line graph.
after doing that it is easy to see that graph A. is the answer because it is the only one with points on -2.4 and -2.8
hope this helps <3
Find the slope and the y-intercept of the line. 2 y=- x+2 5
help please I need it now
Answer: Y = -x/2 + 12.5
Step-by-step explanation:
You wrote the equation strange so i don't really know if the end of the equation is a 25 or not
3.1.3 How far was the hiker at 10:30?
8km
ACTIVITIES
1. Siyabonga runs a car wash business. The monthly expenses for his business include:
R1 400,00 in salaries.
R5,20 per washed car, for water, soap and electricity.
Siyabonga charges R25,00 per car for a wash and vacuum.
1.1.White down a formula to represent the total monthly cost that Siyabonga incurs in running his car
wash business as dependent on the number of cars washed.
(2)
1.2.Write down a formula to represent the total monthly income that Siyabonga generates as dependent
on the number of cars washed.
(2)
1.3. Use trial and improvement to determine how many cars Siyabonga must wash per month in order to
break even and cover all business expenses.(2)
1.4.How much must Siyabonga earn in income per month in order to break even? (2)
1.5.The graphs below resent the total monthly cost and total income for Siyabonga's car wash business.
2.500
2,400
2,300
2 200
2,100
2,000
Answer:
[tex]y = 1400 + 5.2x[/tex] --- Running cost
[tex]y = 25 x[/tex] --- Monthly income
71 cars
R1775
Step-by-step explanation:
Given
Expenses
[tex]Salaries = 1400.00[/tex]
[tex]Others = 5.20[/tex] per car
Income
[tex]Rate = 25.00[/tex] per car
Solving (a): Expression for the running cost
This is calculated as:
[tex]y = Salary + Others * x[/tex]
Where
y = Total running cost
x = number of cars
So:
[tex]y = 1400 + 5.20 * x[/tex]
[tex]y = 1400 + 5.2x[/tex]
Solving (b): Expression for monthly income
This is calculated as:
[tex]y = Rate * x[/tex]
Where
y = Total income
x = number of cars
So:
[tex]y = 25.00 * x[/tex]
[tex]y = 25 x[/tex]
Solving (c): Break even
To do this, we equate the expressions in (a) and (b)
[tex]y = y[/tex]
[tex]25x = 1400 + 5.2x[/tex]
Collect Like Terms
[tex]25x -5.2x= 1400[/tex]
[tex]19.8x= 1400[/tex]
Solve for x
[tex]x = \frac{1400}{19.8}[/tex]
[tex]x = 71[/tex]
Solving (d): How much to break even
Substitute 71 for x in any of (a) or (b)
[tex]y = 25 x[/tex]
[tex]y = 25 * 71[/tex]
[tex]y = 1775[/tex]
Solving (e): There is no question to answer on the "graph"
Why does the quotient of 8 ÷ 1 not change when we add a place value in the dividend and the divisor to make 80 ÷ 10?
Answer:
Basically this is because division can be thought of as how many times does the divisor have to be multiplied in order to produce the dividend.
So you would need to multiply 1 8 times in order to produce the dividend,
Similarly, 10 goes into 80 8 times. The zeros are simply cancelled out in the division.