Answer:
The value is [tex]P(X \le 60 ) = 0.00135[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 90 \ minutes[/tex]
The standard deviation is [tex]\sigma = 10[/tex]
Generally 1 hours = 60 minutes
Generally the probability that the exam will be completed in one hour or less is
[tex]P(X \le 60 ) = 1 - P(X > 60 )[/tex]
Here
[tex]P(X > 60 ) = P( \frac{ X - \mu }{ \sigma } > \frac{ 60 - 90 }{ 10 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X > 60 ) = P( Z> -3 )[/tex]
From the z -distribution table the probability of ( Z> -3 )
[tex]P( Z> -3 ) = 0.99865[/tex]
[tex]P(X > 60 ) = 0.99865[/tex]
=> [tex]P(X \le 60 ) = 1 - 0.99865[/tex]
=> [tex]P(X \le 60 ) = 0.00135[/tex]
Lavonda took out a $7,500 loan with an APR of 3.875\% and agreed to pay it back monthly over 6 years
What is her monthly payment?
How much will she pay back in total?
What is the finance charge?
Answer:
Step-by-step explanation:
Given data
principal=$7500
rate= 3.875%= 0.03875
time =6years
The expression for the final amount for a simple interest is
A=p(1+rt)
A=7500(1+0.03875*6)
A=7500(1+0.2325)
A=7500(1.2325)
A=9243.75
$19243.75
1. What is her monthly payment?
given that it is spread over 6 years
there are 12*6 months= 72months
monthly pay=9243.75/72= $128.38
2. How much will she pay back in total?
=$19243.75
3. What is the finance charge?
the finance charge is the interest which is
$19243.75-$7500=$11743.75
solve for the variable 4a-9=7a+12
Thanks!!
Answer:
a = - 7
Step-by-step explanation:
Given
4a - 9 = 7a + 12 ( subtract 7a from both sides )
- 3a - 9 = 12 ( add 9 to both sides )
- 3a = 21 ( divide both sides by - 3 )
a = - 7
Answer:
a = -7
Step-by-step explanation:
Collin needs to write a four page essay if you ask 4/5 of a page each night how many nights will it take him to finish the essay
Answer:
5 nights.
Step-by-step explanation:
(4 pages) / (4/5 of a page) = 5 nights
Need help ASAP please anybody
Answer:
A
Step-by-step explanation:
The answer to this is A lol
Michael can ride his bike 3 miles in 24 minutes. At this rate, what is the distance, in miles, Michael can ride his in one hour?
Answer:
7.5 miles
Step-by-step explanation:
3x=24
x=8
60/8
7.5
Answer: 480 miles
Explanation: To find the distance Michael rode in miles, we have to find how many minutes he can ride in one mile. So we will divide 24(minutes) into 3(miles).
24 ÷ 3 = 8
Michael can ride 1 mile in eight minutes.
Since there are sixty minutes in one hour, multiply eight by sixty to find how many miles Michael can ride his bike.
8 × 60 = 480
Micheal can ride 480 miles in one hour.
Plz mark brainliest:)
over a long time, cable from acme cable co has a mean strength of 37.5 ksi with a known population standard deviation of 1 ksi. find the probability that a random piece of th ecable has a strength x lower than 36.0 ksi
Answer:
The value is
[tex]P(X < 36) = 0.066807[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 37.5 \ ksi[/tex]
The standard deviation is [tex]\sigma = 1 \ ksi[/tex]
Generally the probability that a random piece of the cable has a strength x lower than 36.0 ksi is mathematically represented as
[tex]P(X < 36) = P(\frac{X - \mu}{ \sigma } < \frac{ 36 - 37.5}{1} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 36) = P(Z < -1.5 )[/tex]
From the z table the probability of [tex](Z < -1.5)[/tex] is
[tex]P(Z < -1.5) = 0.066807[/tex]
So
[tex]P(X < 36) = 0.066807[/tex]
What is (1+2+3+4+5) + (1*2*3*4*5)?
HURRY
Answer:
135
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
(1+2+3+4+5)= 15
(1*2*3*4*5)= 120
15+120=135
point (2,-4) is reflected across the x-axis. what are the coordinates of it's image?
Answer:
(2,4)
Step-by-step explanation
x stays the same and y becomes positive
write the number below as a fraction in its simplest form
0.17 recurring
Answer:17/100
Step-by-step explanation:
Answer=8/45
Explaination
=
one approach is algebraically
x
=
0.177777
...
.
.
because one digit recurs multiply by 10 na dthen follow the method below
10x=1.777777777
x
=
0.17777777
Now,
9x=1.6
So,x=1.6/9=16/90
Hence,
x
=
8/
45
=
The formula for the area of a triangle is A= 1/2 bh, where b is the base of the triangle and h is the height of the triangle. What is the length of the base if the area is 22cm? and the height is 8 cm?
Answer:
The length of the base = 5.5cm.
Step-by-step explanation:
A = 1/2 bh
A = 22cm^2 h = 8cm.
22 = 1/2 b(8)
22 = 4b
hence b = 5.5cm.
Tyrone swam eight less than three times as many laps as Marcia if Tyrone swam 13 laps how many laps did Marcia swim
Answer:
63 laps
Step-by-step explanation:
Tyrone-13
Marcia-(Tyrone+8)x3
fill in the equation
(13+8)x3
21x3
63
Answer:
63
Step-by-step explanation:13+8=21
21x3=63
I hope this helps
Find the value of the missing number.
Answer:
x=45; y=27.
Step-by-step explanation:
1. y=90-(35+18)=27;
2. x=90-(18+y)=90-(18+27)=45.
What is the probability a server will refuse to serve alcoholic beverages to exactly 2 minors if he randomly checks the IDs of 5 of the 9 students in the establishment, and 4 of the 9 students are minors?
Answer:
10/21
Step-by-step explanation:
Probability = Expected outcome/total outcome
If he randomly checks the IDs of 5 of the 9 students in the establishment, the total outcome will be expressed as:
9C5 = 9!/4!5!
9C5 = 9×8×7×6×5!/5!×24
9C5 = 9×8×7×6/24
9C5 = 126
Total outcome = 126
For the expected
First we know that 4out of 9 students are minor, and we want to know the probability that exactly 2 are minor, this can be done in 4C2 ways
4C2 = 4!/2!2!
4C2 = 4×3×2/4
4C2 = 6
Also since 4 out of 9 are minor, then 5 are not minor and if out of every 5, exactly two are minor, then 3 are not.
Those not minor can be expressed in 5C3 ways
5C3 = 5!/2!3!
5C3 = 5×4×3!/2×3!
5C3 = 20/2
5C3 = 10
Total expected outcome = 4C2 × 5C3
Total expected outcome= 6×10 = 60
Hence, the probability a server will refuse to serve alcoholic beverages to exactly 2 minors will be;
= 60/126
= 30/63
= 10/21
If the runner travels 16 miles in 2 hours how many miles will she run in the first hour
Answer:
8 miles in the first hour
Step-by-step explanation:
Divide 16 by 2 to get the average speed of the runner. 16/2=8.
Which fraction is greater than 1/2
A.) 5/8 B.) 4/8 C.) 1/8 D.) 3/8
Answer:
A. 5/8
Step-by-step explanation:
If you want to find the equivalent of 1/2 in 8ths, what times 2 will give you 8? The answer is 4, so multiply the numerator and denominator by 4 to get 4/8. So, 4/8 is equal to 1/2, meaning that 5/8 is greater than 4/8. Hope this helped!
(-3)(-3)(-3) please help me I need the answer
Answer:
-27 ?
Step-by-step explanation:
^that's if ur multiplying
please help. algebra 1
Answer:
a. 2.84 :)
Step-by-step explanation:
6.92 - 4.08 = 2.84
a recipe calls for 2 carrots for every 3 stalks of celery walter is preparing the recipe for a group and uses 15 stalks of celery how many carrots should he use
Answer:
10 carrots
Step-by-step explanation:
have a good day!
Walter uses 10 carrots for every 15 stalks of celery
Which steps are needed to solve this equation?
b+ 6 = 21
O Subtract 6 from both sides of the equation.
The answer is b= 15.
Check the solution by substituting 15 for b.
O Subtract 6 from the left side and add 6 to the right side of the equation.
The answer is b= 27.
Check the solution by substituting 27 for b.
Add 6 to both sides of the equation.
The answer is b= 27.
Check the solution by substituting 27 for b.
Add 6 to the left side and subtract 6 from the right side of the equation.
The answer is b-15.
Check the solution by substituting 15 for b.
Answer:
Subtract 6 from both sides and plug 15 back into b to check
Answer:
the answer is A.
you can solve this problem easily by subtracting 21 - 6 and you get your answer. :)
Mark is having birthday party.he brought 8 pizzas to be shared equally among 40 people. Which two equivalent representation could be use to determine how much pizzas each guest will receive
8÷40 = 40/8
8÷40= 8/40
40÷8= 40/8
40÷8= 8/40
Put the following equation of a line into slope-intercept form
2x - 2y = 6
Answer:
Y=-2x+3
Step-by-step explanation:
2x-2y=6
2y=-2×+6
y=-2×+6/2
y=-2x+3
The equation of a line into slope-intercept form is y = x - 3
The standard form of an equation in slope-intercept form is expressed using the equation y = mx + b
m is the slope of the line
b is the y-intecept
Given the equation 2x - 2y = 6
Divide through by 2
x - y = 3
-y = -x + 3
Multiply through by -1
-(-y) = -(-x) + (-3)
y = x - 3
Hence the equation of a line into slope-intercept form is y = x - 3
Learn more here: https://brainly.com/question/17003809
What number should you multiply this equation by to eliminate the decimals?
5x + 0.1x − 0.3 = 0.2x
Answer:
by 10
Step-by-step explanation:
determine whether the given function is linear or nonlinear. if it is linear determine the equation of the line
Danny bought 10 plastic disas. Each disc weighs 0.9 ounces. How much do the 10 plastic discs weigh in all?
Answer:
9
Step-by-step explanation:
Answer:
9 ounces
Step-by-step explanation:
In this equation, we are given two things. We know how much each disc weighs (.9 ounces) and we know how many discs Danny bought (10 discs).
To figure out how much the discs weigh, we must do the following steps:
We first step up the equation: 10 discs times .9 ounces
Then, we multiply the numbers to get our final answer: 10(.9 ounces)= 9 ounces
The 10 discs weigh a total of 9 ounces.
Determine the area under the standard normal curve that lies to the left of (a) z= -1.11 (b) z= -1.06 (c) z= -1.13, and (d) z= -1.49
All Insurance companies charge the same rate for a glven person.
True
False
Answer:
false i think
Step-by-step explanation:
Lorena borrowed $1950 to buy books and a tablet for her freshman year of college. She will pay off the loan in 10 months at an annual simple interest rate of 5.75%. How much interest will she be charged and what is the total amount she must pay at the end of the 10 months? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
Simple Interest = Principal * Rate * Time/100
Given
Principal (amount borrowed) = $1950
Rate = 5.75%
Time = 10month
Convert time to year
To do that, we will divide the value in months by 12 i.e Time = 10/12
Time = 5/6 years
Substitute into the formula and find the simple interest
SI = (1950 * 5.75*5/6)/100
SI = (1950 * 5.75*5)/600
SI = 56,062.5/600
SI = $93.4375
Hence she will be charged interest of $93.4375
To get the total amount after 10 months, we will use the formula;
Amount = Principal + Interest
Amount = $1950 + $93.4375
Amount = 2,043.4375
Hence she must pay back $2,043.4375 after 10 months
4. Ray RU bisects LQRS. If mSRU =
50° and m2QRU = (+10) . Find the value of x.
Find m2QRS. (Lesson 1.2) (1 point)
Answer:
X=60
m<QRS= 90
Step-by-step explanation:
assuming that it all adds up to 180
Add all like terms:
50+10+1/2x=180
1/2x+60=180
-60 -60
1/2x= 120
÷1/2= ÷1/2
x= 60
1. 1/2(60)+10
40
How to Solve X-3/8= 7/16
Answer:
x=13/16
Step-by-step explanation:
The question is asking us to isolate the variable x. This means that we need to add -3/8 to both sides of the equation. Because the denominators of the fractions 3/8 and 7/16 are not the same, we need to find a common denominator, which is 16. (So we change 3/8 to 6/16 because the two fractions are equal). Now that we have the fractions 6/16 and 7/16 we can add the two to get x=13/16
The domain of a function f(x) is x 20, and the range is ys-1. What are the
domain and range of its inverse function, F1(x)?
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Domain :
[tex]x \leqslant - 1[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Range :
[tex]y \geqslant 0[/tex]
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Thus the correct answer is (( B )) .
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