Answer:
a) The insurance should be of 84.6 months, that is, approximately 85 months.
b) 0.0436 = 4.36% probability that it will malfunction before the insurance coverage ends.
c) The expected loss to the insurance company is of 2.18 million.
d) The company should expect to make a profit of $689,200.
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.
A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 90 months and a standard deviation of 3.5 months.
This means that [tex]\mu = 90, \sigma = 3.5[/tex]
A. For how many months should the satellite be insured to be 94% confident that it will last beyond the insurance date?
The 100 - 94 = 6th percentile, which is X when Z has a pvalue of 0.06. So X when Z = -1.555.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.555 = \frac{X - 90}{3.5}[/tex]
[tex]X - 90 = -1.555*3.5[/tex]
[tex]X = 84.6[/tex]
The insurance should be of 84.6 months, that is, approximately 85 months.
B. If the satellite is insured for 84 months, what is the probability that it will malfunction before the insurance coverage ends?
This is the pvalue of Z when X = 84. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z= \frac{84 - 90}{3.5}[/tex]
[tex]Z = -1.71[/tex]
[tex]Z = -1.71[/tex] has a pvalue of 0.0436
0.0436 = 4.36% probability that it will malfunction before the insurance coverage ends.
C. If the satellite is insured for 84 months, what is the expected loss to the insurance company?
0.0436 probability of losing 50 million. So
0.0436*50 = 2.18
The expected loss to the insurance company is of 2.18 million.
D. If the insurance company charges $3 million for 84 months of insurance, how much profit does the company expect to make?
1 - 0.0436 = 0.9564 probability of making 3 million.
0.0436 probability of losing 50 million
So
[tex]E = 0.9564*3 - 0.0436*50 = 0.6892[/tex]
The company should expect to make a profit of 0.6892 million, that is, $689,200.
i need help asap!!!!
Answer:
760 inches squared
Step-by-step explanation:
surface area -
4(14 x 10) + 2( 10 x 10) = 560+200=760
I was doing my homework when I come across this question, it says "substitute each given value of the variable to find which, if any, is a solution of the inequality." what does this mean?
Answer:
Step-by-step explanation:
Perimeter (P) of the quarter circle is the curve + both sides.
Perimeter of the curve
Perimeter of the sides
2 sides = 2r
Step-by-step explanation:
MUST HELP!!!! (50 POINTS) +BRAINLEST +5 STARS +THANKS ON PROLFILE!!!!
Figure A’B’C’ is an __________________________of figure ABC.
*fill in the blank*
Answer:
similar shape!!!!
Step-by-step explanation:
Answer:
Dialation
Step-by-step explanation:
Dilation is an increase in size, but does not change the shape
When a normal six sided die is rolled what is the probability of getting a 7
Answer:
0% chance
Step-by-step explanation:
Answer:
0/6
You can't roll a 7 on a 6 sided die.
A new treatment for depression involves a one month stay on a Caribbean island and daily therapy sessions with a team of 8 professionals. A researcher knows that people with untreated depression miss an average of μ = 4.30 days of work per month (σ = 1.1). It was found that a random sample of 121 depressed individuals who underwent the new treatment missed an average of M = 4.08 days of work per month following treatment. Thus, the research question is: what is the impact of this treatment on absenteeism (i.e., days missed from work)?
Answer:
A
Step-by-step explanation:
Harley read 5 books in january, 8 books in february, 4 books in march and 7 books in april. what is the average number of books harley reads per month
A: 7
B: 6
C: 6.5
D: 3
Answer:
B: 6
Step-by-step explanation:
Find the mean:
5+8+4+7= 24
24/4=6
HELP PLEASE
17. A triangle has sides of length x, X -3 And x+6 what is the perimeter of the triangle?
A.3x+3
B.3x^3+3
C.3x^3+18
D.3x+9
Answer:
A. 3x+3
Step-by-step explanation:
The perimeter is found by adding all the side lengths:
(x)+(x-3)+(x+6)
=1x+1x+1x-3+6
=3x+3
(Remember, add x-terms to x-terms, and numbers to numbers)
5(y +2/5) = -13
type the answer and how you got your answer and the best answer will get brainlist answer PLEASE IM BEGGING YOU TO HELP MEE
Answer:
y=-15
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
[tex]5(y + \frac{2}{5} ) = - 13 \\ 5y + 2 = - 13 \\ 5y = - 13 - 2 \\ y = \frac{ - 15}{5} \\ y = - 3[/tex]
therefore the value of y is equal to -3
Q4. Three students A, B and C had 3 soil samples. Each student poured 180 mL of water
into the soil samples they had. Time taken for the percolation of water through the three
soil samples was 25 min, 10 min and 40 min respectively. Which student had the soil with
the highest percolation rate?
Answer:
Student B
Step-by-step explanation:
Soil percolation is the porosity of soil to the downward flow of water through it. A soil with high percolation allows water to drain through it downwards in a less period of time.
From the given experiment by students, it takes 25 min for water to percolate through the soil sample of student A, 10 min for the soil sample of student B and 40 min for the soil sample of student C. Thus, the student that had the soil sample with highest percolation rate is B.
1. The pollution level in the center of a city at 6 am is 30 parts per million and it
grows in linear fashion by 25 parts per million every hour. If y is pollution
and t is time elapsed after 6 am, determine:
a. The equation that relates y with t.
b. The pollution level at 4 o'clock in the afternoon
Answer:
a) [tex]y(t) = 30 + 25t[/tex]
b) The pollution level at 4 o'clock in the afternoon is of 280 parts per million.
Step-by-step explanation:
The pollution level in the center of a city at 6 am is 30 parts per million and it grows in linear fashion by 25 parts per million every hour.
This means that the pollution in t hours after 6 am is given by:
[tex]y(t) = 30 + 25t[/tex], which is the answer to question a.
b. The pollution level at 4 o'clock in the afternoon
4 in the afternoon is 10 hours after 6 am, so this is y(10).
[tex]y(10) = 30 + 25*10 = 30 + 250 = 280[/tex]
The pollution level at 4 o'clock in the afternoon is of 280 parts per million.
Candice buys 2/8 of a container of roasted peanuts. Alan buys 2/3 of a container. Both containers are the same size. Candice says 2/8 is between 1/2 and 1, so she buys more peanuts than Alan. Is Candice correct? Explain.
Since my name is in this question, I'll answer it :)
Answer:
Yes, she's right.
Step-by-step explanation:
2/8 is simplified to 1/4. Between 1 and 1/2, it is 1/4. So yes, I (Candice) was right. :)
Solve: (x −6)−(4.5−x )= −1.5
PLZ HELP
Answer:
x=9/2 Hope this helps!
Step-by-step explanation:
Let's solve your equation step-by-step.
x−6−(4.5−x)=−1.5
Step 1: Simplify both sides of the equation.
x−6−(4.5−x)=−1.5
x−6+−1(4.5−x)=−1.5(Distribute the Negative Sign)
x+−6+(−1)(4.5)+−1(−x)=−1.5
x+−6+−4.5+x=−1.5
(x+x)+(−6+−4.5)=−1.5(Combine Like Terms)
2x+−10.5=−1.5
2x−10.5=−1.5
Step 2: Add 10.5 to both sides.
2x−10.5+10.5=−1.5+10.5
2x=9
Step 3: Divide both sides by 2.
2x/2=9/2
x=9/2
Answer is 9/2.
Joanne is buying a pair of shoes in Europe the length of her foot is 27.5cm
Answer:
42-43 Euro size
Step-by-step explanation:
it is a 9.5 in American so that is the size converted to Euro (42-43).
I don't know if that helped I cant say for sure it is correct.
Someone please explain how to do this!!
Answer:
o because the square is not of 4
HELP ASAP PLEASE
Which best describes parallel lines?
Otwo lines that are always equidistant
O two lines that curve to form a circle
O two lines that intersect at multiple points
O two lines that originate from the same point
What is the equation of the line that passes through the point (5, -6) and has a
slope of 3/5
Answer:
y = 3/5x + -9
or y = 3/5x - 9
Step-by-step explanation:
Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b
Here is what this equation stands for:
y = the y in the order pair you are given, in this case it would be -6
m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5
x = the x in the ordered pair you are given, in this case it would be 5
b = This is the y-intercept, you will mostly be solving for this most of the time
(5,-6)
(x, y)
y = mx+b (Use this Formula)
-6 = 3/5(5) +b (The numbers have been substituted within the formula)
-6 = 3+b (simplify the equation by multiplying the slope by the x)
-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")
-9 = b (solve)
y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)
I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!
PLEASE HELP I DONT GET THIS AND MY MOM IS MAD AT ME
A person is looking from a car to the top of a building. The angle of elevation to the top of the building from the car is 32°. The building is 200 feet away. How tall is the building? Round to the nearest foot.
Answer:
132.2 ft
Step-by-step explanation:
This is a right angle problem where 32 is the angle and 200 feet is the leg unederneath. To solve for the height we use tangent since we have the adjacent side and we are solving for the opposite side.
Steps:
1. tan32 = x/200
2. (tan32)200=x
3. x=132.2 ft
A scientist is investigating whether percent concentration can be used to predict density in apple juice. A scientist selected a random sample of 12 apple juice varieties and recorded the density, in pounds per cubic inch, and the percent concentration of each apple juice variety. The scientist wants to estimate the mean change in the density, in pounds per cubic inch, for each increase of 1 percent concentration of apple juice. Assuming the conditions for inference have been met, which of the following inference procedures is most appropriate for this investigation?
a. A linear regression t-interval for slope.
b. A matched-pairs t-interval for a mean difference.
c. A two-sample t-interval for a difference between means.
d. A one-sample t-test for means.
e. A two-sample z-interval for a difference between proportions
Answer:
The most appropriate inference procedure for the investigation is;
a. A linear regression t-interval for the slope
Step-by-step explanation:
Given that the slope of an horizontal line is zero, we have that there is no change in the y (dependent) variable when there is a change in the x-variable, therefore, it is important to find the true relationship between the two variables, 'x', and 'y'
The confidence interval of the slope is calculated and analyzed to determine if it excludes or includes, 0, such that, if the confidence interval exclude 0, then, it is unlikely that the slope is 0, therefore, there the relationship between the variables, 'x', and 'y' is significant
Therefore, a linear regression t-interval for the slope is most appropriate.
PLEASE HELP WILL MARK BRAINLIEST IF CORRECT
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.
A rhombus ABCD is shown with diagonal AC equal to 16.8 feet and diagonal BD equal to 11.9 feet
What is the area of the farm?
57.4 square feet
99.96 square feet
114.8 square feet
133.28 square feet
Answer:
99.96
but trust me I'm bad with big numbers but I think this ones right.
Answer:
99.96
Step-by-step explanation:
What is the area of the figure below?
15 in 2
20 in 2
30 in 2
25 in 2
Answer:
25 [tex]in^{2}[/tex]
Step-by-step explanation: we can move the little triangle on the side to the missing part of the square and it says the length of the little triangle is 2 so we can do 2+3 since the height of the square with the missing side is 3. then we end up with the height being 5 and the base being 5. we know that A=bh so we can do A=5x5 and get 25 in squared
pls mark me branliest!!
Answer:
25ft2
Step-by-step explanation:
5-(x-3)+4x simplify equation
Answer: 3x+8
Step-by-step explanation:
Answer:
3x+8
Step-by-step explanation:
5-(x-3)=4x
5-x+3+4x
3x+8
Uniform Distribution Notation Format Which of the following is the correct notation used for a uniform probability distribution where the smallest value of the random variable X is 9, and the largest value of the random variable X is 28. X - B{9, 28) X - U(28.9) You Answered U - X(9, 28) Correct Answer X - U(9,28)
Manny buys 16 apples at the market and 8 oranges. what are the ratios of apples to oranges ?
Answer:
2:1 or 16:8
Step-by-step explanation:
Answer:
2:1
Apple: orange
Step-by-step explanation:
Divide the number of apples by the number of oranges
Snow Play Ski Park costs $35 entry fee and then $5 per hour. If you have $60, how long can you be at Snow Play Ski Park?
Part A - Identify the independent and dependent variables.
Answer:
You can be in the snow play ski park 5hours
Step-by-step explanation:
First 60$ - 35$=25$
1h=5$
2h=10$
3h=15$
4h=20$
5h=25$
So you can pay 35$ for the snow play ski park and then you can be there 5hours.So 35$ for the entry+25$ for the 5 hours=60$
PS:Can I be a brainliest pls. And have a nice day and sry for my english i m not so good but i wanted to help you.cya
pls help will mark brainliest
Answer:
80in²
Step-by-step explanation:
Hey There!
So the first step of this problem is to find the width of the scale drawing
To do so we need to find the scale factor
To find the scale factor we divide the length of the room by the length of the scale factor
32/8=4
so the scale factor is 4
now to find the width
40/4=10
so the width of the scale drawing is 10 in
now we can find the area given the length and the width
10x8=80in²
so we can conclude that the area of the scale drawing is 80in²
What is the greatest common factor of 138 and 345?
Answer:
Step-by-step explanation:
Step by Step Solution. Calculate Greatest Common Factor for : 138, 345. Factorize of the above numbers : 138 = 2 • 3 • 23. 345 = 3 • 5 • 23. Build a prime factors table. ...
Why learn this.
Terms and topics. GCF calculator.
Related links. Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy. LCM on Purplemath.
Answer:
69 I believe.
Step-by-step explanation:
A cube has a edge of 8 cm it is cur into two equal parts calculate the ratio of total surface area
Answer:
[tex]Ratio = 3: 2[/tex]
Step-by-step explanation:
Given
Shape: Cube
[tex]L = 8cm[/tex]
The surface area is calculated as:
[tex]Area = 6*L^2[/tex]
[tex]A_1 = 6*8^2[/tex]
[tex]A_1 = 384[/tex]
When it is cut by half; the length is affected; so, it forms a cuboid of the following dimension:
[tex]L = \frac{8}{2} = 4[/tex] --- Length
[tex]W = 8cm[/tex] --- Width
[tex]H = 8cm[/tex] --- Height
The surface area is:
[tex]Area = 2 *(L*W + H * L + W * H)[/tex]
[tex]A_2 = 2 *(4*8 + 8 *4 + 8 * 8)[/tex]
[tex]A_2 = 2 *128[/tex]
[tex]A_2 = 256[/tex]
So, the ratio of surface area is:
[tex]Ratio = A_1 : A_2[/tex]
[tex]Ratio = 384 : 256[/tex]
Divide by 128
[tex]Ratio = 384/128 : 256/128[/tex]
[tex]Ratio = 3: 2[/tex]
What simplified ratio correctly compares 36 inches to 4 feet?
Drag and drop the appropriate numbers into the boxes.
:
2 3 4 6 9 36
Answer:
3/4 or 3-4
.......................
charlie uses the expression 2x + 2x to represent the perimeter of a square. What does the variable x represent in this expression?
The area
The perimeter
The side lengths
The sum of 2 side lengths
Answer:
D The Sum of 2 Numbers
Step-by-step explanation:
2+2=4 > 24 > 24 + 24
Answer:
The side length
Step-by-step explanation:
Samir and Christian had a total of 360 marbles Samir lost 28 marbles while Christian brought 18 more marbles both of them had an equal number of marbles in the end how many marbles did Samir have at the beginning
Step-by-step explanation:
Marbles altogether = 360
Marbles Samir Lost = 28
360 - 28 = 332
Marbles Christian bought 18
332 + 18 = 350
Marbles both had in the end = 350 ÷ 2 = 175
Marbles Samir have at the beginning = 175 + 28 = 203
Answer = 203