Answer:
4.968
Step-by-step explanation:
Is this linear, exponential growth, exponential decay, or neither?
Answer:
Linear Exponential Decay.
Step-by-step explanation:
It is linear exponential decay,
it is decreasing by -7,
everytime x goes up 1, y goes down -7,
this line has a slope of -7/1.
Slope: -7x
y-intercept: (0,2)
Mopeds (small motorcycles with an engine capacity below 50 cm^3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.8 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped.
Required:
a. What is the probability that maximum speed is at most 49 km/h?
b. What is the probability that maximum speed is at least 48 km/h?
c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?
Answer:
a) 0.1038 = 10.38% probability that maximum speed is at most 49 km/h
b) 0.2451 = 24.51% probability that maximum speed is at least 48 km/h
c) 0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean value 46.8 km/h and standard deviation 1.75 km/h.
This means that [tex]\mu = 46.8, \sigma = 1.75[/tex]
a. What is the probability that maximum speed is at most 49 km/h?
This is the pvalue of Z when X = 49. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{49 - 46.8}{1.75}[/tex]
[tex]Z = 1.26[/tex]
[tex]Z = 1.26[/tex] has a pvalue of 0.8962
1 - 0.8962 = 0.1038
0.1038 = 10.38% probability that maximum speed is at most 49 km/h.
b. What is the probability that maximum speed is at least 48 km/h?
This is 1 subtracted by the pvalue of Z when X = 48. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{48 - 46.8}{1.75}[/tex]
[tex]Z = 0.69[/tex]
[tex]Z = 0.69[/tex] has a pvalue of 0.7549
1 - 0.7549 = 0.2451
0.2451 = 24.51% probability that maximum speed is at least 48 km/h.
c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?
Zscores between Z = -2.5 and Z = 2.5, which is the pvalue of Z = 2.5 subtracted by the pvalue of Z = -2.5
Z = 2.5 has a pvalue of 0.9938
Z = -2.5 has a pvalue of 0.0062
0.9938 - 0.0062 = 0.9876
0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations
The number 31.5 is 37.5% of what number?
A. 69
B. 84
C. 315
D. 375
Answer: B
Step-by-step explanation:
please help me im stuck on this question
Answer:
78.0 kilo
Step-by-step explanation:
85.8- 93.6= 7.8
101.4-93.6= 7.8
85.8-7.8 = 78.0 kilo
The length of a rectangle is 20 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units in your answer
Answer:
48
Step-by-step explanation:
Melinda is planning to attend a private university after she graduates from high school in 3 years. She is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the private university for one year is $22,500. Her family has promised to contribute $13,500 each year she is in school. Which plan shows the minimum amount of money Melinda must contribute to her savings to have enough money to pay for her first year of tuition? A: save $250 per month for the next 3 years B: Save $375 per month for the next 3 years C: Save $625 per month for the next 3 years D: Save $750 per month for the next 3 years
Answer:
A: save $250 per month for the next 3 years
Step-by-step explanation:
Melinda has three more years in high school as stated in the question.
One year private university tuition = $22,500
Support from family = $13,500
Amount that Melinda has to pay = $22,500 - $13,500 = $9000
Number of months in three years = 3 * 12 = 36 months
If she must save $9000 in 36 months
Then $x must be saved in 1 month
x = $9000/36
x = $250
Which numerator makes the statement true enter the correct answer in the box 1/4<5/12< /6?
Answer:
3/6
Step-by-step explanation:
1/4 is less than 5/12
5/12 is less than 3/6
1/4 is also less than 3/6
Answer:
.ndmmdmdmdmndndndndnnxnd
Step-by-step explanation:
.
Birth control pills have a theoretical annual efficacy of 99.5%, but a real-worls efficacy of only 95%. If a college student takes the pill for the four years she is in college, what is the probability that she will become pregnant at least once using the real world efficacy rate?
A. 0
B. 0.005
C. 0.020
D. 0.185
Answer: In my opinion B. 0.005 is the correct answer
Step-by-step explanation:
hope it help youWhich system of equations has a solution of (-2,0,1)
The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The system of the equations that has a solution of (-2, 0, 1) will be
Let the number of variables be x, y, and z.
Then we have
Then the first equation will be
x + y + z = -1
Then the second equation will be
x + y + 2z = 0
Then the third equation will be
x + 2y + 3z = 1
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
find length of side (x)
Answer:
choice D) x = 6.6
Step-by-step explanation:
sin 27° = 3/x
0.4540 = 3/x
x = 6.6
What is the value of x?
Answer:
Solution given:
38°=x°+10°[vertically opposite angle]
x°=38°-10°=28°
is your answer
What’s the answer helpppp
Answer:
the answer would be the second one
Answer:
Second choice
Step-by-step explanation:
18=2x9
9=3^2
X^7=(x)x^6)
root 18x^7
=3x^3root 2x
Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The radius is 8 and the height is 3
Answer:
Rounded to the nearest hundredth, the volume of the cylinder is 603.19.
Step-by-step explanation:
There really isn't an explanation to this, so my apologies if you need one.
I hope I helped you, and a "Brainliest" is always appreciated! ☺
9514 1404 393
Answer:
192π ≈ 603.19 cubic units384π ≈ 1206.37 cubic unitsStep-by-step explanation:
The volume of a cylinder is given by the formula ...
V = πr²h
For the given radius and height, the volume is ...
V = π(8)²(3) = 192π ≈ 603.19 . . . . cubic units
When the height is doubled, the volume is doubled:
V = π(8)²(6) = 384π ≈ 1206.37 . . . . cubic units
What would been the volume?
Answer:
Multiply 43x15x5
Step-by-step explanation:
length x whight x hight
Please help me with this ASAP ASAP please please help
Answer:
Step-by-step explanation:
Base perimeter : 4 x 2 x π = 8π cm
LA = 8π x 4 = 32π cm^2
Base area: 4^2 π = 16π cm^2
SA = 2 x 16π + 32 = 64π cm^2
V = 16π x 4 = 64π cm^3
a large chocolate bar has a base area of 49.47 square feet and its length is 0.5 foot shorter than twice its width find the length and the width of the bar
Step-by-step explanation:
Okay try doing one side will be equal to length or one of those..L×W×H
Select How many numbers are 10 units from 0 on the number line?
Answer:
2 numbers are 10 units from 0
Step-by-step explanation:
2 numbers are 10 units from 0. If you start from zero and count 10 units to the right, you should be at a positive number. But, you can also move 10 units to the left. If you do this, you should be at a negative number that is ALSO 10 units away from 0, just in a different direction than positive number. both are 10 units from 0. There always 2 numbers, one 10 units to the right of zero, and one 10 units to the left of zero. Hope this helped! Tell me if I'm wrong or right.
Answer: 2 numbers
Step-by-step explanation:
I'm assuming you are talking about a normal number line and if so, you can count 10 units up and down.
When you do that, you find -10 and 10 which are two numbers so the answer would be 2 numbers
This is assuming that you are talking about a normal number line
Please tell me if I'm right or wrong and I hope this helps someone!
There are 400 pupils in a primary school.
Of the 400 pupils, 88 play a musical instrument.
Express the number of pupils who play a musical instrument as a fraction of the 400
pupils.
Give your answer in its simplest form.
Answer:
11/50
Step-by-step explanation:
[tex] \frac{88}{400} = \frac{11}{50 } [/tex]
Answer:
total number of pupils = 400
number of pupils play musical instruments = 88
number of pupils who play a musical instrument as a fraction form = 88/400
in simplest form = 11/50
A lumberyard charges $ 1 per cut to trim boards. Bob buys a 12-ft board and wants it out into twelve 1-ft pieces. How much will he be charged for the cutting? The correct answer is $11.
Answer:11
Step-by-step explanation:
There are 11 cuts to make 12 pieces on 1ft each
Can someone please help me I will mark u brilliant
Answer: The answer is 84 cubic feet.
Step-by-step explanation:
V= l*w*h
V=14*12*1/2
V= 84
-4(3x - 2x + 4y)
Simplify the expression
Answer:
− 4 x − 16 y
Step-by-step explanation:
Answer:
− 4 x − 16 y
Step-by-step explanation:
Muhammad, your client, comes to your office. He is from Pakistan and is an avid cricket player. His annual salary and bonus/incentive compensation income, earned as the president of an engineering firm in Virginia, is usually $2 million. He is in the top tax bracket. Muhammad would like to donate $1 million to the Pakistani Cricket Foundation in Islamabad (the foundation is not a U.S. registered charity) to support cricket in his homeland. He assumes he will get an income tax deduction for this.
1. Will Muhammad likely get an income tax deduction for his planned $1 million donation? Why or why not?
2. Should you try to persuade Muhammad to be more patient and make the donation in his will? Why or why not?
Solution :
It is given that Muhammad annual income is $ 2 millions. He wants to donate $ 1 million to the Pakistani Cricket Foundation to support cricket.
1. Muhammad believes that donating the amount will help him getting a income tax deduction, but he is not eligible for the tax deduction even if he donates. This is because income tax is deducted only if one donates to a US qualified charitable organization that is a 501(c) 3 type of organizations for any federal tax purposes. The Pakistani Cricket Foundation is not a US qualified charitable organization.
2. Yes, I would persuade Muhammad to be more patient and continue to make donations on his will to some conservation organizations as well. This will help the organization to spend the fund on some useful activities and can also get some tax benefits for the taxa purposes under section 170(h) and 2013(c).
Help Plzzzzzzzzzzzzzzzzzzz
[tex](x+3)^{2}=19[/tex]
The coordinates of G are
The coordinates of vertex G are (2,0). I did this.
what is the slope of the line that passes through the points (5,3) and (-4,1)
Answer:
x = 1
y . =2
slope =
[tex]\frac{y}{x} \\\\\frac{2}{1} \\\\Slope = 2[/tex]
Step-by-step explanation:
What are the answer I don’t need the process
Step-by-step explanation:
Don't you need a key for what K equals to solve this?
Find the area of the polygon.
Answer:
74.5
Step-by-step explanation:
13.5 * 4.5 = 60.75
5.5 * 2.5 = 13.75
60.75 + 13.75 = 74.5
Please help I’ll mark you brainliest if correct!
Answer:
89.5
Step-by-step explanation:
Answer:
89.5
................................
Find the missing side lengths. Leave your answers as radicals in simplest form.
9514 1404 393
Answer:
x = 18y = 9Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are ...
1 : √3 : 2
In the same order, the given side lengths are ...
y : 9√3 : x
Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:
9(1) : 9√3 : 9(2) = y : 9√3 : x
Then y = 9·1 = 9, and x = 9·2 = 18.
The missing side lengths are x = 18, y = 9.
Madison was given a large box of 48 chocolates for her birthday. If she eats exactly 5
chocolates each day, how many chocolates would Madison have remaining 5 days
after her birthday?
Answer:
The answer is 23 chocolates
Step-by-step explanation:
You do 5 times 5 for her eating 5 chocolates a day for 5 days to get 25 and then you take 48 and subtract it by 25 and you get 23