A bank's loan officer rates applicants for credit. the ratings are normally distributed with a mean of 200 and a standard deviation of 50. if an applicant is randomly selected, find the probability of a rating that is between 200 and 275. your answer should be a decimal rounded to the fourth decimal place.
Answer:
the probability of a rating that is between 200 and 275 is 0.4332
Step-by-step explanation:
Given the data in the question;
if an applicant is randomly selected, the probability of a rating that is between 200 and 275
mean μ = 200
standard deviation σ = 50
P( 200 < X < 275 ) = P( X-μ / σ < x-μ / σ < X-μ / σ )
P( 200 < X < 275 ) = P( 200-200 / 50 < x-μ / σ < 275-200 / 50 )
= P( 0/50 < Z < 75/50 )
= P( 0.00 < Z < 1.50 )
P(Z < 1.50) - P(Z < 0.0)
from the standard normal table
P(Z < 1.50) = 0.9332
P(Z < 0.0) = 0.5000
so
P( 200 < X < 275 ) = 0.9332 - 0.5000
P( 200 < X < 275 ) = 0.4332
Therefore, the probability of a rating that is between 200 and 275 is 0.4332
How many cubes would it take to fill the box
Answer:
27359265815502254
Step-by-step explanation:
52758552
The classroom rug is 9 feet long and has an area of 72 square feet. What is the perimeter of the rug?
Answer:
34 Ft.²Explanation:
Area = width · length
The length of the rug is 9 feet. We need to find the width.
72 ÷ 9 = 8
Check to see if this is correct: width (8) · length (9) = area (72)
Now add the length and width together two times since a rug has 4 sides
8 + 8 + 9 + 9 = 34
The perimeter of the rug is 34 ft.²
define acute, right angle, obtuse, straight angle, reflex
Answer: here
Step-by-step explanation:
Acute Angle - An angle less than 90 degrees. Right Angle - An angle that is exactly 90 degrees. Obtuse Angle - An angle more than 90 degrees and less than 180 degrees. Straight Angle - An angle that is exactly 180 degrees. Reflex Angle - An angle greater than 180 degrees and less than 360 degrees.
Answer:
An Acute angle is an angle less than 90 degrees
An obtuse angle is an angle greater than 90 degrees
A right angle is an angle that is exactly 90 degrees
A straight angle is an angle that is exactly 180 degrees
A reflex is an angle greater than 180 degrees but less than 360 degrees
Step-by-step explanation:
A farmer packs eggs into cartons of 12. The farmer has 109
eggs. She wants to keep 13 of those eggs for her family.
How many cartons will the farmer be able to sell?
Answer:
109 divided by 12 is about 9.3 carton thingys so she would most likley sell 8
so she can keep some
Step-by-step explanation:
The farmer sells 6 cartoons.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total Eggs= 109
A carton contain= 12 eggs
If the farmer takes away 13 eggs, the eggs left
= 109 - 13
= 96 eggs.
So, the number of cartoons will famer sell
= 96 / 12
= 6 cartoons.
Hence, the farmer sells 6 cartoons.
Learn more about unitary method here:
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(11x^2+5y^2-8xy)+(x^2-7y^2+4x)
Answer:
4x2 - 3xy - 9y2
Step-by-step explanation:
If the original quantity is 10 and the new quantity is 12, what is the percent increase?
The percent increase is %.
Answer:
20.00% increase, lmk if you need an explaination
Which inequality represents the number line below?
x< 2
x > 2
x _< 2
x >_ 2
Answer:
x_<2
Step-by-step explanation:
its shaded in so you have to flip it
Answer:
The answer is
x_<2
The circle is shaded and the arrow is going to the left hand side
Aight come on i need the answer to this question
Answer:
A, E, F
Step-by-step explanation:
2/9 is the fraction equivalent of 0.222222 repeating. 4/15 is the fraction equivalent 0.266667 repeating. 7/11 is the fraction equivalent of 0.636364 repeating.
What quadrant is point (-9,2) located in?
Lmk.................
Answer:
A) 8t
Step-by-step explanation:
I hope this helps :)
Seven less than three times her number is between two and eleven(inclusive)
Answer:
3≤x≤6
Step-by-step explanation:
2≤3x-7≤11
2+7≤3x-7+7≤11+7
9≤3x≤18
9÷3≤3x÷3≤18÷3
3≤x≤6
Which statement describes this pair of congruent triangles?
H and N are congruent because they are both 58 degrees,
J and L are congruent because they are both 62 degrees,
and K and M are congruent because they are both 60 degrees.
Therefore triangle HJK is congruent to triangle NLM.
Answer:
The answer is C
Step-by-step explanation:
Kause i said so
A sum of two mixed numbers is given.
What is the missing number?
Answer:
16.
Step-by-step explanation:
The whole numbers stay the same so it stays as 2. The way they get 30 for the denominator is by multiplying the fraction 1/3 by 10 and 1/5 by 6. So now we have 10/30 and 6/30. Add them together, 10+6=16
3/4 X24 in simplest from
Answer:
3/4 x 24 = 3/4 x 24/1 = 72/4 = 18
Let me know if this helps!
Someone please help and explain will mark brainliest!!
Answer:
(a) x=5
(b) x= -1 1/3
(c) x= 1
Step-by-step explanation:
(a) (b) (c)
2(x-3)=4 −3(2x+1)=5 a(bx+c)=d
x−3=4/2 2x+1= − 5/3 d^1−1
x−3=2 2x= -5/3-3/3 d^0
x=2+3 2x= -5-3/3 x=1
x=5 2x= -8/3*2
x= -8/6
x= -4/3
Solve the system of equations.
9x - 3y = 12
y = 3x - 4
Answer:
Infinite solutions
Step-by-step explanation:
if you simplify, both equations are equal which means it can have infinite values
how do you slove thia
solve this system using elimination. 3x - 4y = -5, -10x + 4 = 12
Answer:
x = -4/5, y = 13/20
Step-by-step explanation:
-10x + 4 = 12
-10x = 8
x = -4/5
3x - 4y = -5
3(-4/5) - 4y = -5
-12/5 - 4y = -5
-4y = -13/5
y = 13/20
Double check:
3x - 4y = -5
3(-4/5) - 4(13/20) = -5
-12/5 - 13 = -5 (true)
Write the ratio men to women in its simplest form
Answer:
7:8
Step-by-step explanation:
men: women
70:80
7:8
Answer:
7 : 8
Step-by-step explanation:
Total number of adults in the survey = 150
Number of women = 80
Number of men = 150 - 80
= 70
Ratio of men : women = 70 : 80
= 70 /80
= 7 / 8
= 7 : 8
Hope it helps :)
Please mark my answer as the brainliest
Javier plays the saxophone. For 5 days each week, he practices for 1.5 hours. If he does this for 26 weeks, how many total hours will he practice?
Answer:
195 hours
Step-by-step explanation:
1.5 x 5 = 7.5
7.5 x 26 = 195
hope this helped don't know if you need a writen
Answer:44 i think
Step-by-step explanation:
26
1.5x=39+5=44
Plz answer correctly
Answer:
[tex]7[/tex]
Step-by-step explanation:
This means that there are 20 terms in between 11 and 31
[tex]31-11=20[/tex]
Since we know that the [tex]11th[/tex] term is [tex]29[/tex] and the [tex]31st[/tex] term is [tex]169[/tex], you can subtract the two to find out the values in between
[tex]169-29=140[/tex]
Now all we have to do is divide the values in between by the number of terms to find the common difference.
[tex]\frac{140}{20} =7[/tex]
Therefore the common difference is [tex]7[/tex]
PLSSSSSSSSSSSSSSS help me ASAP
Answer:
Use calculator soup while i was in college i used it and it helped SOOO much
Step-by-step explanation:
Franklin middle school is purchasing new buses for the following school year. There will be an additional 2,652 students who will be bus riders. Each new bus can hold 102 students what is the minimum number of additional buses the school will need to purchase
Answer:
26
Step-by-step explanation:
2,652÷102 which gives you 26
The minimum number of additional buses the school will need to purchase is 26.
What is division?The division is a method of distributing a group of things into equal parts.
According to the question
Total bus riders = 2652
Each bus can hold 102 students.
Minimum number of buses need to purchase
= [tex]\frac{2652}{102}[/tex]
= 26
Hence, the minimum number of additional buses the school will need to purchase is 26.
Find out more information about division here
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A stick was broken into two pieces. The length of the first piece is 28 cm more than the second piece. The total length of the two pieces is 56 cm. Find the length of the first piece.
y = 2x + 1
2x - y=3
Solve by substitution
Answer:
there is no solution
Step-by-step explanation:
y = 2x + 1
put into other equation
2x - 2x + 1 = 3
0x + 1 = 3
0x = 2
0/0x = 2/0
x = undefined
D Den uses 9 cups of raisins for every 2 cups of cereal
The graph shows the number of teaspoons of
lemon juice in cups of lemonade
Which number is
first in an ardered
pain?
To
18
19
Teaspoons of Lemon Juice
Which ordered pair represents a ratio equivalent to
the ratio of teaspoons of lemon juice to cups of
lemonade shown by the point on the graph?
A 16
C (93)
B (60)
D (164)
Oscar chose A as the correct answer. How did he
get that answer?
Kerry has 300 marbles. 25% of the marbles are green 15% of the marbles are red and the rest of the marbles are blue. How many blue marbles does he have
Answer:
180
Step-by-step explanation:
1%=3
25%=75
15%=45
100-(25+15)=60
60%=60*3=180
What is the answer to 6/8 ×2 =
Step-by-step explanation:
= 6 / 8 × 2
= 0.75 × 2
= 1.5
plz follow me
help me with this question thanks
Answer:
700
Step-by-step explanation:
175 divided by 3 is 58.3 and then you multiply 58.3 by 12 and get 700