Answer:
a
Step-by-step explanation:
Answer:
c. 4/7
Hopefully this helped!
-Lavender Vye
The average starting salary for this year's graduates of a large community college is $30,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed. a. What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400? b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break? c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates? d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?
Answer:
0.048 ; 0.03593 ; (14320, 45680) ; 6000
Step-by-step explanation:
Given a normal distribution :
Mean salary (m) = $30000
Standard deviation (s) = $8000
A.) probability of having a starting salary of atleast 30400
P(x ≥ 30400)
Obtain the standardized value (Z) :
Z = (x - m) / s
Z = (30400 - 30000) / 8000
Z = 400 / 8000 = 0.05
P(Z ≥ 0.05) = 0.48006 (Z probability calculator)
b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?
P(X < 15600)
Obtain the standardized value (Z) :
Z = (x - m) / s
Z = (15600 - 30000) / 8000
Z = - 14400 / 8000 = - 1.8
P(Z < - 1.8) = 0.03593
c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates?
Zscore which corresponds to 0.95 is 1.96
Minimum:
-1.96 = (x - 30000) / 8000
-15680 = x - 30000
x = 14320
Maximum :
1.96 = (x - 30000) / 8000
15680 = x - 30000
x = 45680
d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?
P(X ≥ 43120)
Z = (43120 - 30000) / 8000
Z = 13120 / 8000
Z = 1.64
P(Z ≥ 1.64) = 0.050503
Hence,
0.050503 = 303
1 = x
x = 303 / 0.05050
= 6000
The perimeter of a rectangular field is 294 yards. If the length of the field is 92 yards, what is its width?
Answer:
w = 55 yards
Step-by-step explanation:
P = 2*(l + w)
P - perimeter, l - length, w - width
294 = 2*( 92 + w)
294/2 = 92 + w
147 = 92 + w
w = 147 - 92
w = 55
I need the answer of this, can you tell me the answer plz ( i need the eleventh one )
Answer:
I believe the area will double
well the area is affected because it will be double the size that it originally was
area=16×24
What is 140% of a dollar
Answer:
1.4 U.S. Dollar
Step-by-step explanation:
Which type of rock is shale?
A. Metamorphic
B. Extrusive igneous
C. Intrusive igneous
O D. Sedimentary
< PREVIOUS
Answer:
sedimentary
Step-by-step explanation:
Answer:
D. Sedimentary
Step-by-step explanation:
sedimentary
Jackie drinks a bottle of water and a bottle of orange juice every morning.
The bottle of water has 16.9 ounces. The bottle of orange juice has 15.2 ounces.
Which is the best estimate for the total amount Jackie drinks in the morning for an entire week
and gives a good explanation for that estimate?
Answer:
15.30
Step-by-step explanation:
use code tiko
Answer:
ayo what
Step-by-step explanation:
what is -2.24?
A. -224
B.-2.24
C. 2.24
D. 224
HURRY,HURRY,HURRY. IF CORRECT I GIVE BRAINLIEST.
Answer: B) -2.24
Step-by-step explanation:
Answer: it’s -2.24
Step-by-step explanation:
Because it’s already in decimal form and since it’s a negative decimals number it is -2.24
Volume = cm3 cylinder
When Brandon went bowling,it cost $4.95 per game, plus a one-time fee to rent shoes. Brandon played 5 games and paid $32. Write and solve a linear equation to find the cost to rent the shoes.
Answer:
$7.25
Step-by-step explanation:
4.95 x 5 = 24.75
32-24.75 = 7.25
A triangle has ∠1 and ∠2 as remote interior angles with respect to exterior angle ∠3. Given that m∠1 = 50 and m∠2 = 70, Alicia reasoned that m∠3 must be 60. Is Alicia correct? If not, explain Alicia's error.
Answer:
No, 60 is the third interior angle's mesure, not the exterior ∠3.
Step-by-step explanation:
Say that ∠1=∠A=50 and ∠2=∠B=70. The remote interior angles are the angles that are not touvhing the exterior angle. So ∠3 would be the the exterior angle to ∠C. ∠C=60 as the sum of the interior angles is 180.
The exterior angle is the angle formed by extending one of the triangle's sides. A straight line has the angle 180, so∠3=180-∠C=180-60=120.
which expressions correctly represent the decimal 57.036?
Answer:
57 + 0.036
good luck...
Mr.Lester needs less than 1/2 cup but more than 1/3 cup of flour to make a sauce.Which of the following could be the amount of flour that he needs?
Answer:1/4
Step-by-step explanation:
The flagpole in front of Silver Pines Elementary School is 18.375 feet tall. What is 18.375 rounded to the nearest tenth?
Answer:
18.4
Step-by-step explanation:
What is An equivalent fraction to 1/2 with a denominator as 10?
Answer:5/10
Step-by-step explanation:
1/2 x 5 = 5/10
a sand box has the length that is 5 1/2 and a width that is 4 4/5 feet. what is the area of the sandbox?
Answer:
26 2/5 feet
Step-by-step explanation:
Can someone help me ASAP!!!
Answer:
3x+y=2
Step-by-step explanation:
Just remember that standard form is expressed as Ax+By=C. I also attached a picture to prove that 3x+y=2 is the standard form equation that makes up the line.
Hope this helps and answers your question :)
37 POINTS PLEASE HELPPPPP!!!!!!
Solution:
We can see that each term when subtracted by 4, gives the next term.
This means that:
n₁ - 4(2) + 4(1) = n₂Let's substitute the values to check:
=> n₁ - 4(2) + 4(1) = n₂ => n₁ - 8 + 4 = n₂ => n₁ - 4 = n₂ => 18 - 4 = 14=> 14 = 14 (Proved)Now, we can find the nth term aₙ by using the formula:
18 - 4(nth term) + 4(1) = Value of nth termTo check that the formula is correct, let's substitute the value of nth as the fifth term of the sequence.
18 - 4(nth term) + 4(1) = Value of nth term=> 18 - 4(5) + 4(1) = Value of 5th term=> 18 - 4(5) + 4(1) = Value of 5th term=> 18 - 20 + 4 = Value of 5th term=> 18 - 16 = Value of 5th term=> 2 = Value of 5th termNow, let's find the fifth term mentally. Keep subtracting 4 until you reach the fifth term.
=> 18 - 4 = Second term of sequence=> 14 = Second term of sequence=> 14 - 4 = Third term of sequence=> 10 = Third term of sequence=> 10 - 4 = Fourth term of sequence=> 6 = Fourth term of sequence=> 6 - 4 = Fifth term of sequence=> 2 = Fifth term of sequenceWe are getting the same result from both ways.
In conclusion, our formula to find the nth term is "18 - 4(nth term) + 4(1)".
Brian’s birthday is on 10 January and he is having a party that day. Five days before this, he is meeting his brother for lunch and ten days after his birthday he is meeting his sister for lunch. Both of these lunch meetings are at the weekend (i.e. on Saturday or Sunday). On which day of the week is Brian’s birthday?
Answer:
wednesday i think idk (sorry if wrong)
Step-by-step explanation:
Derek wants to buy a skateboard for $56.00. The store
is offering a discount of 5% on all items. What price will
Derek pay for the skateboard, not including tax?
Answer: 53.2$
Step-by-step explanation:
5/100 × 56 = 2.8
So, 56.00 $ - 2.8$ = 53.2$
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.61 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are between 2.21 and 3.01?
Answer:
68%
Step-by-step explanation:
We start by calculating the z-scores of both
z-score = (x-mean)/SD
for 2.21
z-score = (2.21-2.61)/0.4 = -1
For 3.01
z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1
So what we want to find is the percentage between -1 SD and 1 SD of the mean
This is the percentage corresponding to the probability
P(-1 < x < 1)
According to the empirical rule, this is a value of;
68.269%
Which of these triangle pairs can be mapped to each other using a reflection
and a translation? Triangles LRK and ARQ are connected at point R.
Triangle L R K is reflected across point R to form triangle ARQ. Triangles LP
Kand QR A are shown. Triangle LPK is reflected across a line to form
triangle QRA. Triangle QR A is shifted to the right of triangle L P K. Triangles
LPK and QR A are shown. Triangle LPK is shifted down and to the left to
form triangle QRA. Triangles LP K and QR A are shown. Triangle LPK is
rotated to form triangle QRA. Triangle QR A is also shifted to the right.
Answer:
b
Step-by-step explanation:
b b b b b b b b b b b b b b b b b b b b bb b b b b b b b b b b b b b b b b b
yes
Which answer choice represents the difference of 20 and 3 times a number?
A) 3j + 20
B) 20(3j)
C) 20 - 3j
D) (20 • 3)j
Charlie runs 7 miles in 80 minutes. At the same rate, how many miles would he run in 64 minutes?
Answer:
5.6 miles
Step-by-step explanation:
Cross Multiplying to solve for x
x = 7*64/80
x = 5.6mi
Answer:
5.6 miles in 64 minutes
What is the answer to 5 3x + 12- 6x = -9
Answer:
x=-21/47
Step-by-step explanation:
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Step-By-Step on how to solve it is in the attached picture below.
Hope this helps! :)
ASAP plz I need help
Answer: 30
Step-by-step explanation:
Plug in x for the expression
6^2 + x - x^2
36 + (3) - (3)^2
36 + 3 - 9
39 - 9
= 30
Two elves can make 5 toys in 10 minutes How many toys can 4 elves make in 30 minutes?
Answer:
30 toys
Step-by-step explanation:
PLEASE MARK BRAINLIEST
A recipe needs 1/2 cup of water for every 2 cups of sugar. If you plan to use 8 cups of sugar, how much water will you need?
Answer:
you need 2 cups of water. :)
Step-by-step explanation:
In 2010, there were approximately 75,000 songs released all year.
Approximately how many songs were released per month?
Simplify square root 3^15
Answer:
Take the square root of 3 then raise it to the 15 th power, i.e. (√3)15. Raise 3 to the 15 th power then take the square root, i.e. √315.
Answer:
D
Step-by-step explanation:
3^7 square root of 3
What’s the unite rate
Answer:
unit rate is that which compares two unit.