Spencer is riding his bicycle 2 7/10 miles to the park. He rides 1 1/4 miles and stops to take a drink. How much farther does Spencer have to ride to the park? Show your work.
pls help asap ill give brainliest
Answer:
Third one
Step-by-step explanation:
An organization purchases 10 computers from a manufacturer with lifetimes modeled as exponential variables (mean of 5 years). What is the probability that at least 6 computers are functioning beyond 6 years
Answer:
0.0482 = 4.82% probability that at least 6 computers are functioning beyond 6 years
Step-by-step explanation:
For each computer, there are only two possible outcomes. Either it works beyond 6 years, or it does not. The probability of a computer working beyong 6 years is independent of any other computes. This means that the binomial probability distribution is used to solve this question.
As the lifetime of a computer is an exponential variable, the probability of a computer working beyond 6 years is found using the exponential distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Probability of a computer working beyong 6 years:
Mean of 5 years means that [tex]m = 5, \mu = \frac{1}{5} = 0.2[/tex]
The probability is:
[tex]P(X > 6) = e^{-0.2*6} = 0.3012[/tex]
What is the probability that at least 6 computers are functioning beyond 6 years?
10 computers means that [tex]n = 10[/tex]
0.3012 probability of a computer working beyond 6 years means that [tex]p = 0.3012[/tex]
This probability is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{10,6}.(0.3012)^{6}.(0.6988)^{4} = 0.0374[/tex]
[tex]P(X = 7) = C_{10,7}.(0.3012)^{7}.(0.6988)^{3} = 0.0092[/tex]
[tex]P(X = 8) = C_{10,8}.(0.3012)^{8}.(0.6988)^{2} = 0.0015[/tex]
[tex]P(X = 9) = C_{10,9}.(0.3012)^{9}.(0.6988)^{1} = 0.0001[/tex]
[tex]P(X = 10) = C_{10,10}.(0.3012)^{10}.(0.6988)^{0} \approx 0[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0374 + 0.0092 + 0.0015 + 0.0001 + 0 = 0.0482[/tex]
0.0482 = 4.82% probability that at least 6 computers are functioning beyond 6 years
Help pls
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I'm so late sksksks
Answer:
1395 ft²
Step-by-step explanation:
The total area of the green surfaces
= 15² × 5
= 1125 ft²
The area of each triangular surfaces
= 15 × 9 ÷ 2
= 67.5 ft²
The total area of triangular surfaces
= 67.5 × 4
= 270 ft²
The total area of the figure
= 1125 + 270
= 1395 ft²
name three of the main powers of the executive branch
The executive branch is headed by the president, whose constitutional responsibilities include serving as commander in chief of the armed forces; negotiating treaties; appointing federal judges (including the members of the Supreme Court), ambassadors, and cabinet officials; and acting as head of state.
This will help you.
They:
-Take care that the laws be faithfully executed
-Serve as commander in chief of the armed forces
-Carries out and enforces laws
The President of the United States is the head of the executive branch. It includes the president, vice president, the Cabinet, executive departments, independent agencies, and other boards, commissions, and committees.
Hope I was able to help. :DDD
Can someone pleaseee help
Answer:
Step-by-step explanation:
all you have to do is * 7 by 5 and divide by 2
help!!
a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply
Answer:
[tex](b)\ 2x - 9 = -1[/tex]
[tex](c)\ -2x + 12 = 4[/tex]
[tex](e)\ 2(x - 10) = -12[/tex]
Step-by-step explanation:
Required
Which equals [tex]x = 4[/tex]
[tex](a)\ 2x + 6 = 2[/tex]
Collect like terms
[tex]2x = 2 - 6[/tex]
[tex]2x = -4[/tex]
Divide both sides by 2
[tex]x = -2[/tex]
[tex](b)\ 2x - 9 = -1[/tex]
Collect like terms
[tex]2x = -1 + 9[/tex]
[tex]2x = 8[/tex]
Divide both sides by 2
[tex]x = 4[/tex]
[tex](c)\ -2x + 12 = 4[/tex]
Collect like terms
[tex]-2x =- 12 + 4[/tex]
[tex]-2x =-8[/tex]
Divide both sides by -2
[tex]x = 4[/tex]
[tex](d)\ 2(x + 2) = 10[/tex]
Divide both sides by 2
[tex]x + 2 =5[/tex]
Collect like terms
[tex]x = 5-2[/tex]
[tex]x = 3[/tex]
[tex](e)\ 2(x - 10) = -12[/tex]
Divide both sides by 2
[tex]x - 10 = -6[/tex]
Collect like terms
[tex]x = 10 - 6[/tex]
[tex]x = 4[/tex]
Hence, the equations with the required solution are:
[tex](b)\ 2x - 9 = -1[/tex]
[tex](c)\ -2x + 12 = 4[/tex]
[tex](e)\ 2(x - 10) = -12[/tex]
A picture has a height that is 2 times it’s width . It is to be enlarged to an area of 128 in 2
What will the dimensions of the enlargement be , if the equation to represent its area 2x 2 = 128
9514 1404 393
Answer:
8 in by 16 in
Step-by-step explanation:
In your equation, we presume that x represents the width. Solving for x, we have ...
2x² = 128 . . . . . . given equation
x² = 64 . . . . . . . . divide by 2
x = √64 = 8 . . . . square root
The enlargement will be 8 inches by 16 inches.
What does b equal in the picture below?
Answer:
87
Step-by-step explanation:
just subtract 16 from 103
Joanna needs a book to prop up a table leg. There are 8 Math books, 4 science books, and 5 history books. She
randomly selects a book, removing it from the shelf, and then selects another book. What is the probability that
Joanna selected two math books?
Answer:22% or 64/289
Step-by-step explanation: you take 8/17 which is math books over the total of books and multiply it together. simplify into a percent (if thats allowed)
8/17 x 8/17 = 64/289
Please help me with this problem. Do not send me a link to some random website. I do not trust the link given that requires me to download it nor does Brainly allow links to websites other than itself to be on its community or whatever.
Answer: [tex]\left[\begin{array}{ccc}|x|0|1|2|3|4|5|6|\\|P(x)|0|4|8|12|16|20|24|\end{array}\right][/tex]
b. P(x)= 4x
c. The graph would go in a straight line touching each point given.
Step-by-step explanation: To find the perimeter of a square you can use the equation 4(x). If you multiply each x value by 4 you'll get the P(x) values.
The cardinal number of {17, 18, 19, 20, ..., 95} is
Answer:
95
Step-by-step explanation:
a cardinal number is anything that is to 70 and the rest of the numbers above 70 are counting by 10s
Which value is NOT a solution of x^3 + 64 = 0
.Use the following data set to answer the questions below.
8, 15, 17, 19, 21, 82
1. What is the mean?
2. What is the median?
3. Is there an outlier? If so, what is the outlier?
4. What is the mean without the outlier?
Answer:
1. The mean is 162 divided 6 = 27 which is like 27 x 6 = 162
2. So since 17 and 19 are in the middle of course you will have to add that together 17 + 19 = 36 but then you MUST ALWAYS divide by 2 which 36 divided by 2 = 18
3. Yes there is a outlier. and i believe it's 82
4. i believe the mean will be 80 but then divided by 5 will be 16
hope this helped :D
Step-by-step explanation:
Please help!
Thank you ☺️
Answer:
I think it's,1,7,7 that will not make a triangle
hope this help
Answer and explainaction please. End of course test is next week and I want to make sure I can work out answers on my own! :)
Answer: This is what I get.
Step-by-step explanation:
Using the human species as an example, explain what is meant by a variation of traits.
Answer:
Every gene has many types of gene variants, which are called alleles. These alleles help the body prouperly code different types of variants. Humans have many different traits in their body, and that is how we have so many features. Genes are stored in chromosomes.
Answer:
Human variability, or human variation, is the range of possible values for any characteristic, physical or mental, of human beings. As the human species exhibits sexual dimorphism, many traits show significant variation not just between populations but also between the sexes.
Step-by-step explanation:
Submit
IM.MP3.PC.2020-2021
Question: 1-2
Examine the polygons on the coordinate plane.
162
Select the triangle that represents a translation of
GHK.
B В
A
H
D
B
Ο Ο Ο Ο
C С
A
С
Answer:
can you send a picture please
An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining. A sample of 243 brakes using Compound 1 yields an average brake life of 37,866 miles. A sample of 268 brakes using Compound 2 yields an average brake life of 45,789 miles. Assume that the population standard deviation for Compound 1 is 4414 miles, while the population standard deviation for Compound 2 is 2368 miles. Determine the 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places.
Answer:
The margin of error is of 623.2016.
The 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2 is (-8546.2016, -7299.7984).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem, and subtraction between normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the sum of the variances.
A sample of 243 brakes using Compound 1 yields an average brake life of 37,866 miles. The population standard deviation for Compound 1 is 4414 miles.
This means that [tex]\mu_1 = 37866, s_1 = \frac{4414}{\sqrt{243}} = 283.16[/tex]
A sample of 268 brakes using Compound 2 yields an average brake life of 45,789 miles. The population standard deviation for Compound 2 is 2368 miles.
This means that [tex]\mu_2 = 45789, s_2 = \frac{2368}{\sqrt{268}} = 144.65[/tex]
Distribution of the difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2.
The mean is:
[tex]\mu = \mu_1 - \mu_2 = 37866 - 45789 = -7923[/tex]
The standard deviation is:
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{283.16^2 + 144.64^2} = 317.96[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = zs[/tex]
[tex]M = 1.96*317.96 = 623.2016[/tex]
The margin of error is of 623.2016.
The lower end of the interval is the sample mean subtracted by M. So it is -7923 - 623.2016 = -8546.2016
The upper end of the interval is the sample mean added to M. So it is -7923 + 623.2016 = -7299.7984
The 95% confidence interval for the true difference between average lifetimes for brakes using Compound 1 and brakes using Compound 2 is (-8546.2016, -7299.7984).
In the box below, enter the value that is missing from the table.
170 is the answer
Given ,
520 = 0
.°.
420 = 520-100
320 = 520-200
?= 520-350 = 1700 = 520-520
Mark the relation
f(0)=520f(100)=520-100=420f(200)=520-200=320Similarly
f(350)=520-350=170All but one of the following cannot be used internationally
Answer:
I think national flag cannot be used internationallyStep-by-step explanation:
hope it helps youI need help plz (will give brainlyist)
Answer:
x=5/2 ft
Step-by-step explanation:
∵V=lbh
⇒15/16= 3/4×1/2×x
⇒(15/16)÷(3/8)=x
∴x=5/2 ft
6. Which TWO sets of numbers
have a difference of 5?
A. 12 and 7
B. 13 and 6
C. 11 and 8
D. 14 and 9
Answer:
A and D
Step-by-step explanation:
A: 12-7=5
B: 13-6=7
C: 11-8=3
D 14-9=5
Have a Fantastic Day! :D
A sphere has a radius of 5. What is its diameter?
Answer:
D=10
Step-by-step explanation:
Diameter of a Sphere
D = 2 r
D=2(5)
D=10
Answer:
Diameter = 10
Diameter - is the full thing
Radius - Is only half of the diameter.
Step-by-step explanation:
The picture will explain it to you visually
Help ASAP 6x - 3(2 – 3x)
Answer:
First: we expand
6x-(6-9x)
Then we simplify
6x-6+9x
Collect like terms
(6x+9x)-6
Simplify:
15x-6
The answer is 15x-6
b/-3 + 4 ^ 13 what is b
Answer: − b / 3 + 67108864
Step-by-step explanation:
Please help me ASAP please
Answer:
Equation: 45 - 21 = s
The second answer is 24.
You can check by adding 24 + 21 which is 45.
15
The graph below shows Jason's earnings based on the number of hours he works.
JASON'S EARNINGS
50
45
40
35
30
Earnings (dollars)
25
20
15
10
5
0 1 2 3 4 5 6 7 8
Number of Hours Worked
What point on the graph represents Jason's hourly pay rate?
А
(0,0)
B
(1, 15)
C (2, 30)
D
(3.45)
Answer:
B) (1,15)
Step-by-step explanation:
Because 1/15= 15 and so does everything else. But it iS the first point that we look at to see the answer of the rest.
alicias garden is 50 square feet. inside of her garden she plants a section of tomatoes that is 3 feet by 4 feet how much more spaces does she have left in her garden to plant other crops
Answer:
38 square feet. in return please subscribe to Amiredagoat Yt.
Step-by-step explanation:
If 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that, Alicia's garden is 50 square feet. inside her garden, she plants a section of tomatoes that is 3 feet by 4 feet
In daily life, area and perimeter are used for a variety of purposes, including determining a home's floor area, a footpath's circumference, a wire fence around a park, etc.
Area of Alicia's garden = 50 square feet
Area of a section of tomatoes that is 3 feet by 4 feet,
A=4 × 3
A=12 sq feet
The spaces she has left in her garden to plant other crops is,
=50 - 12
=38 square feet
Thus, if 50 square feet make up Alicia's garden. She plants a part of tomatoes within her garden that is 3 feet by 4 feet. She has 38 additional feet of room in her garden to grow various kinds of vegetables.
Learn more about the rectangle here:
brainly.com/question/15019502
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Solve the inequality. -4x < 24
Answer:
x > -6
Step-by-step explanation:
1) Divide both sides by -4
x > - [tex]\frac{24}{4}[/tex]
2) Simplify and solve to get answer.
x > -6.