Answer:
23m-18
Step-by-step explanation:
2(7m−5)+(−8+9m)
Remove parenthesis
2(7m-5)-8+9m
expand
14m-10
14m-10-8+9
simplify
23m-18
Ask me for more questions brainliest please.
The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of minutes with a standard deviation of minutes. The health center makes appointments each day and is scheduled to be open for hours. What is the probability that the total time spent for students who have appointments for tomorrow will exceed hours? (Hint: hours minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Some data in the question are missing. The complete question is :
The health center of a small, private university requires students to have appointments for visits. Each appointment takes an average of 5.6 minutes with a standard deviation of 3.5 minutes. The health center makes 100 appointments each day and is scheduled to be open for 10 hours. What is the probability that the total time spent for 100 students who have appointments for tomorrow will exceed 10 hours? (Hint: 10 hours=600 minutes.) Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
Solution :
Let the time spent by [tex]$i^{th} $[/tex] students for the appointment be = [tex]$X_i$[/tex]
∴ E([tex]$X_i$[/tex]) = 5.6
V([tex]$X_i$[/tex]) = [tex]$3.5^2$[/tex]
n = 100
The required probability
[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]
Now, [tex]$E\left( \sum_{i=1} ^{100} X_i \right) = 100 \times E (X_i) $[/tex]
= 100 x 5.6
= 560
[tex]$V\left( \sum_{i=1} ^{100} X_i \right) = (100)^2 \times (3.5)^2 $[/tex]
Standard deviation = 3.5 x 100
= 35
[tex]$P\left( \sum_{i=1} ^{100} X_i \leq 600 \right)$[/tex]
[tex]$\Rightarrow P\left( \frac{\sum_{i=1}^{100} X_i -560} {35} \leq \frac{600-560}{35}\right)$[/tex]
[tex]$= \phi (1.14286)$[/tex]
= 0.8735
= 0.874 (round to 3 decimal places)
A rectangular parking lot is 3/4 mile long. If the area is 3/8 square mile, what is the width of the lot?
Answer:
it's .5 or 1/2
Step-by-step explanation:
3/8 ÷ 3/4 = 1/2
if the fourth term of an ap is 1 and sum of it first right term is 18 find the tenth term
which translation is demonstrated in the figure
write down the relation between mass and inerti
Answer:
The mass of an object is directly proportional to its inertia.
[tex]m\alpha I[/tex]
Where
m = mass
I = inertia
Step-by-step explanation:
We can first of all start by defining the two key terms present here - mass and inertia.
The mass of an object is the quantity of matter contained in the object.
The inertia of an object is the resistance of an object which is in a state of rest to motion
The mass of an object is directly proportional to its inertia.
The heavier an object is, the more inertia it has. To put things into perspective, you can easily push a bicycle because it does not really have a lot of mass, as opposed to pushing an eighteen-wheeler trailer.
Negative ten is no less than two times a number plus fourteen
can you please solve it
Answer:
-12≥x
Step-by-step explanation:
-10≥2x+14
-24≥2x
-12≥x
What is the value of the expression 8(-6.3)
Answer:
-50.4
Step-by-step explanation:
The following table shows claim amounts and their probabilities for an insurance company that offers homeowners’ insurance policies. Calculate the expected claim amount. That is, on average, how much will the insurance company have to pay in claims per policy holder?
$2250
$5000
$7500
$3250
plz help thank you thank you
Answer:
B
Only one that goes over once and up twice
Answer:
b is the answer I believe
WILL MARK BRAINLIEST!!!
The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons. What is the average rate of change in steel production over the eight days? Express the answer in tons per day.
A. +1.2
B. -1.2
C. +0.15
D. -0.15
Answer:
option D.
Step-by-step explanation:
average rate of change in steel production over the eight days=-0.15 tons per day
Step-by-step explanation:
The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons.
Production is dropped by 1.2 tons, so its negative
Average rate of change = Change in production / number of days
Average rate of change = -1.2/ 8= -0.15
so sorry -0.15
A project consists of three tasks: A, B, and C. Task A is known to take five days for sure. Tasks B and C are each dependent on A. B takes five days. C takes seven days with a probability of 0.5 and three days with a probability of 0.5. What is the expected completion time of the project
Answer:
The expected completion time of the project is:
10 days.
Step-by-step explanation:
Duration of Task A = 5 days
Task B and C depend on Task A
This implies that Task A must be completed before Task B and C can be started.
To complete Task B will take 5 days
To complete Task C will take 5 days (7 * 0.5) + (3 * 0.5)
Since Task A takes 5 days and Tasks B and C depend on Task A and Task B takes 5 days and Task C takes expected time of 5 days, it means that the project can be completed in 10 days (5 + 5) if tasks B and C are simultaneously carried out.
The expected completion time of the project is
(i)10 days if B&C are mutually independent
(ii)15 days if B &C are mutually dependent
What is the expected completion time of a task?Expected completion time of a task= p1x1 + p2x2
Where
p1 & p2 are probabilities.
x1 and x2 are samples.
p1=p2=0.5
x1=7
x2=3
Expected completion time of task C= 0.5*7+0.5*3 = 5 days
Task B and C will be due till task A is not accomplished.
Total time to accomplish task A = 5 days
Total time to accomplish task B= 5 days
Expected time to accomplish task C = 5 days
If tasks B and C are mutually independent
expected time to complete the project = 5+5=10days
If task C depends on task B
Expected time to complete the project = 5+5+5 = 15 days.
Therefore
The expected completion time of the project is
(i)10 days if B&C are mutually independent
(ii)15 days if B and C are mutually dependent
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Order from least to greatest
11. 357
2. 1.02
13. .80
4. .002
15. .05
16. .40
Answer:
0.002 , 0.05 , 0.40 , 0.80 , 1.02 , 2 , 4 , 11 , 13 , 15 , 16 , 357
Step-by-step explanation:
11 , 357 , 2 , 1.02 , 13 , .80 , 4, .002 , 15 , .05 , 16 , .40
What is the radius of a hemisphere with a volume of 6466 to the nearest tenth of a meter?
Answer:
14.6m
Step-by-step explanation:
volume of a hemisphere = (2/3)πr3
Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)
r = cube root ( 6466 * 3/2 * 1/ π)
r = 14.56
in the nearest tenth of a meter = 14.6 m
Alberto received an inheritance of $10,000 that he decided to put into a savings account and collect the interest. He has a choice of investing in one of two plans. The Gold savings account will allow him to invest his inheritance at 3% simple interest for 4 years. The Student savings account will allow him to invest his inheritance at 2.75% simple interest for 4 years. As part of a limited time promotion, the bank will give Alberto $1000 to be added to his principal if he opens a Student savings account. which plan will earn Alberto the most money after 4 years.
Answer:
tthw student saavings account
Step-by-step explanation:
X is normally distributed random variable with mean 63 and standard deviation 6, the probability that X lies between 45 and 81 is
Answer:
P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Step-by-step explanation:
Mean = 63
Standard Deviation =6
We need to find probability that X lies between 45 and 81 i.e P(45<X<81)
First we will find z-score for X=45 and X=81
For X=45 the z-score can be found using formula: [tex]z-score=\frac{X-\mu}{\sigma}[/tex]
Putting values and finding z-score
[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{45-63}{6}\\z-score=-3[/tex]
For X=45, z-score is -3
For X=81 the z-score can be found using formula: [tex]z-score=\frac{X-\mu}{\sigma}[/tex]
Putting values and finding z-score
[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{81-63}{6}\\z-score=3[/tex]
For X=81, z-score is 3
Now finding the probability of P(-3<z<3)
It can be solved as:
P(-3<z<3)=P(z<3)-P(z<-3)
Looking at the z-score table to find
P(z<3)= 0.9987
P(z<-3)=0.0013
So, P(-3<z<3)=P(z<3)-P(z<-3)
P(-3<z<3)=0.9987 - 0.0013
P(-3<z<3)=0.9974
or P(-3<z<3)= 99.74%
So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Use the number line to identify the least value, first quartile, median, third quartile, and greatest value of the data.
Ages of teachers (in years): 30, 62, 26, 35, 45, 22, 49, 32, 28, 50, 42, 35
Answer: least value - 22
first quartile - 29
median - 35
third quartile - 47
greatest value - 62
Step-by-step explanation:
Find the value of x in the parallelogram below.
Answer:
129
Step-by-step explanation:
the 2 angles together will equal 180 because that is half of a circle a circle is 360so what you do is subtract 180 minus 51 and get 129
A pack of gum that comes with 35 pieces is $2.88 how much is one piece of gum? (unit price)
Answer:
0.08
Step-by-step explanation:
The dosage of a certain medication is 1/4 ounce for every 50 pounds of body weight. How many ounces of this medication are required for a person who weighs 175 pounds. Write your answer as a decimal.
Step-by-step explanation:
175÷50=3.5
3.5×1/4=0.875
I GIVE BRAINLILSTE
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Answer:
A
Step-by-step explanation:
He increased by 10% because of 80% to 90% is 10%
So, the Answer is A
Answer:
12.5%
Step-by-step explanation:
The question is asking for the percent increase of 80%. So how much of 80% was the new percentage (90%) increased by.
First, find the difference 90-80=10
Then find the percent of 80 that the difference is.
10/80=0.125
0.125 in a percent form is 12.5%
So, there was a 12.5% increase.
WILL GIVE BRAINLIEST ANSWER!
You are locked out of your house and the only open window on the second floor is 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There is a bush along the edge of the house, so you will have to place the ladder 10 feet from the house. What length of the ladder do you need to reach the window?
This is past due I need help will give brainlist
Answer:
A
Step-by-step explanation:
Refer to the graph to estimate x when f(x)= 7/2
Answer:
x = 4
Step-by-step explanation:
We are asked to find the value of x when [tex] \frac{7}{2} [/tex].
Note that [tex] f(x) [/tex] is also y.
What this means is, what is the value of x when y = 7/2 = 3.5.
On the graph given, trace where y = 3.5. check the x-value that corresponds with it on the point on the line.
Thus, at y = 3.5, x = 4.
Therefore,
x = 4, when [tex] \frac{7}{2} [/tex].
Please help me with my question
Answer: use mahthway it hels
Step-by-step explanation:
Find the range of the function y=1/2x+3
When the domain is -2,0,2,4
-70+45+x=100
I need this right away!
Answer:
x=125
Step-by-step explanation:
The other answer choice is 30
Answer:
21 pencils
Step-by-step explanation:
b 21 pencils
please help me will mark brainliest
Collect like terms
−
8
d
2
−
3
d
2
Answer:
8,2,2,3
d,d,
HOPE THIS HELPS
Answer:
5d²
Step-by-step explanation:
Given
8d² - 3d² ← collect like terms by subtracting the coefficients, that is
(8 - 3)d²
= 5d²
complete the last four terms by dragging the missing value to correct locations in the expression
Answer:
Brainly does not have the correct answer listed as a choice - it should be [tex]2187y^{14}[/tex]
Step-by-step explanation: