Answer: F
Step-by-step explanation:
Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives less than 118 miles in a day. Round your answer to four decimal places.
Answer:
0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.
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.
Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day.
This means that [tex]\mu = 90, \sigma = 36[/tex]
Find the probability that a truck drives less than 118 miles in a day.
This is the pvalue of Z when X = 118. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{118 - 90}{36}[/tex]
[tex]Z = 0.78[/tex]
[tex]Z = 0.78[/tex] has a pvalue of 0.7823
0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.
Please help!!!!!!!!!!!
Answer:
Circle on the left: 30 ft Circle in the middle: 4m Circle on the right: 10 mm
Step-by-step explanation:
I got these answers by multiplying the radius by 2. In the problem, they gave you the radius. The diameter is r*2, so that is how I got my answers.
Answer:
1. I think 30ft 2. I think 4m 3.I think 10mm
Help plz need the answer asap
Answer:
The video is blocked but you can type your question on here1
Step-by-step explanation:
If (3, -5) is an ordered pair of the function f(x), which of the following must be an ordered pair of the inverse of f(x)?
(3, -5)
(3, 5)
(-5, 3)
(5, -3)
Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).
How to determine which of the following must be an ordered pair of the inverse of f(x)To determine which of the given ordered pairs must be an ordered pair of the inverse of f(x), we need to find the inverse function of f(x) and check which ordered pair satisfies the inverse function.
Given that (3, -5) is an ordered pair of the function f(x), it means that f(3) = -5.
Now, let's find the inverse function of f(x) by swapping the x and y variables and solving for y:
x = f(y)
Substituting f(3) = -5:
3 = f(y)
Therefore, the inverse function of f(x) is y = 3.
Now, let's check which of the given ordered pairs satisfies the inverse function:
- For (3, -5):
When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, -5) does not satisfy the inverse function.
- For (3, 5):
When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, 5) does not satisfy the inverse function.
- For (-5, 3):
When we substitute x = -5 into the inverse function y = 3, we get y = 3. Therefore, (-5, 3) satisfies the inverse function.
- For (5, -3):
When we substitute x = 5 into the inverse function y = 3, we get y = 3. Therefore, (5, -3) satisfies the inverse function.
Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).
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What does (2+4(6))/2 equal?
16
13
14
10
Answer:
13
Step-by-step explanation:
You must use PEMDAS to solve this equation.
Solve everything in the parentheses first;
4(6) = 24
24 + 2 = 26
26 / 2 = 13
Final answer = 13
You are going to visit your aunt who lives 25 miles away . You have already traveled 7.7 miles. What percentage of the trip is still ahead of you?
The percentage of the trip that is still ahead of you is 69.2%.
What is the percentage?The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
You are going to visit your aunt who lives 25 miles away. You have already traveled 7.7 miles.
The percentage of the trip that is still ahead of you is calculated as,
P = [(25 - 7.7) / 25] x 100
P = (17.3 / 25) x 100
P = 0.692 x 100
P = 69.2%
More about the percentage link is given below.
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6/15=3/x
HELPP PLEASE
Answer:
15/2 or 7.5 :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{6}{15} = \frac{3}{x}[/tex]
simply cross multiply
[tex]6x = 45[/tex]
divide both sides by 6
[tex]\frac{6x}{6} = \frac{45}{6}[/tex]
hence x will be equal to [tex]7.5[/tex]
Is it required to for it to be in decimals?
(11x-28) + (10x-17) combine like terms
Answer:
21x-45
Step-by-step explanation:
(11x-28)+(10x-17)=11x-28+10x-17=21x-45
Hope this helps =]
Hey there!
(11x - 28) + (10x - 17)
= 11x - 28 + 10x - 17
COMBINE the LIKE TERMS
= (11x + 10x) + (-28 - 17)
= 11x + 10x - 28 - 17
= 21x - 45
Therefore, your answer is: 21x - 45
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
solve for x: 5/2x = 15/2 x=3
Answer:
3
Step-by-step explanation:
5/2⋅=15/2⋅=3
I'll give points and brainalist for answer / explanation
Answer:
D. 28.26 in²
Step-by-step explanation:
Area of a circle= πr²
r= 3
π= 3.14
A= (3.14)(3)²
A= 28.26 in²
-2 x -4 x -1 - -2 x -4
Answer:
-16
Step-by-step explanation:
(-2 * -4 * -1) - (-2 * -4) **use parenthesis to make easy
Multiply first parenthesis:
= -8
Multiply second parenthesis:
= 8
Combine (subtract):
-8 - 8 = -16
Answer:
-32
Step-by-step explanation:
your required answer is
-2 × -4 × 1 × -4 = -32
12x+6n-36 in standard form
(2x2)+(8-6)
Whats the answer
Answer:
6
Step-by-step explanation
following pemdas, we first multiply 2 x 2, which is four. Next, we do the other parenthesis, 8 - 6, which is two. 2 + 4 is 6.
Hope this helps!
Answer:
the answer is six
Step-by-step explanation:
2×2=4
then
8-6=2
4+2=6
You have the opportunity to purchase a MLB Franchise. The probability distribution of expected returns for the franchise is as follows:
Probability Rate of Return
0.1 –20%
0.2 0%
0.4 7%
0.2 15%
0.1 25%
The expected rate of return for your investment in the MLB Franchise is____Expected rate of return = ∑Piki. The standard deviation is_____.
Answer:
The expected rate of return is 6.3%.
The standard deviation is of 11.29%.
Step-by-step explanation:
Expected rate of return
Multiply each rate by its probability. So
[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]
The expected rate of return is 6.3%.
Standard deviation:
Square root of the difference squared between each value and the mean, multiplied by the probability. So
[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]
The standard deviation is of 11.29%.
If you don’t know I don’t answer (NO LINKS )
Uhh I might just answer this so the guy who did so much can get brainliest
-X-6
constant.
coefficient:
variable
Answer:
constant: -6
Coefficient: -1
Variable: x
Step-by-step explanation:
What is the value of y in the equation 3(3y-12)=0
Answer:
y = 4
Step-by-step explanation:
use the distributive property
9y - 36 = 0
+36 +36
9y = 36
divide by 9
y = 4
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
What is the horizontal asymptote of the function g(x)= 3(0.8)^x +6
Help me out pls and thank you very much !!!!!!!
Answer:
8
Step-by-step explanation:
Since this is a rectangle, the opposite sides are congruent.
So the lengths of DG and EF are equal
3x + 5 = 29
3x = 29 - 5
3x = 24
x = 24/3
x = 8
You move right 3 units. You end at (5, 2). Where did you start?
Answer:
8,2
Step-by-step explanation:
Cayle the cat 3.1.4 Suppose I am conducting a test of significance where the null hypothesis is my cat Cayle will pick the correct cancer specimen 25% of the time and the alternative hypothesis is that she will pick the cancer specimen at a rate different than 25%. I end up with a p-value of 0.002. I also construct 95% and 99% confidence intervals from my data. What will be true about my confidence intervals
Answer: hello the options related to your question is missing attached below are the missing options
answer : Neither the 95% nor the 99% intervals will contain 0.25 ( B )
Step-by-step explanation:
Given that ;
H0 : = 0.25
Ha : ≠ 0.25
p-value = 0.002
also 95% and 99% confidence intervals are constructed
p value = 0.002 i.e. < 0.01 ∝ < 0.05 ∝
This means that we reject null hypothesis in both cases when (∝ =0.05 and ∝ = 0.01 )
Hence The true statement about my confidence intervals is :
Neither the 95% nor the 99% intervals will contain 0.25
Muhammad Amanullah buys 4 apples for $1.12.
At the same price, how many apples can he buy for $2.52?
A-5
B-6
C-7
D-8
E-9
Answer: E) 9
Step-by-step explanation:
1.12/4 = 0.28
2.52/0.28 = 9
Answer:
9
Step-by-step explanation:
To find how much each apple costs, you have to divide the price by how many apples he brought.
1.12/4 = 0.28
Each apple costs $0.28
Now, you have to divide 2.52 by 0.28.
2.52/0.28 = 9
He can buy 9 apples at the same price with $2.52.
g The distribution of the monthly amount spent on childcare in a Midwestern city has a mean of $675 and a standard deviation of $80. A random sample of 64 families in this city paying for childcare is selected. Find the probability that the sample mean is less than $650. (Round the result to 4 decimal places.)
Answer:
0.0062 = 0.62% probability that the sample mean is less than $650.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
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.
Mean of $675 and a standard deviation of $80.
This means that [tex]\mu = 675, \sigma = 80[/tex]
A random sample of 64 families in this city paying for childcare is selected.
This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]
Find the probability that the sample mean is less than $650.
This is the pvalue of Z when X = 650.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{650 - 675}{10}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
0.0062 = 0.62% probability that the sample mean is less than $650.
The probability that the sample mean is less than $650 is 0.62%.
The z score is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]
From the normal distribution table:
P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%
The probability that the sample mean is less than $650 is 0.62%.
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Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)
here you go! hopefully this helps :))
PLS HELP ME OUT WITH THIS
Student A: 78, 99, 80, 85, 95, 79, 85, 96
Student B: 100, 80, 79, 75, 92, 93, 75, 78, 84
Student A Mean:
Student A Mean Absolute Deviation:
Student B Mean:
Student B Mean Absolute Deviation:
Student A Mean:
(78 + 99 + 80 + 85 + 95 + 79 + 85 + 96)/8 = 87.125
Student A Mean Absolute Deviation: 7.15625
Student B Mean:
(100+ 80+ 79+75+92+ 93+75+ 78+ 84) / 9 = 84
Student B Mean Absolute Deviation: 7.33
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y = 3x + 5
Step-by-step explanation:
slope:
11 - (-1) / 2 - (-2) = 12/4 = 3
slope intercept form is y = mx + b, so right now you have m = 3:
y = 3x + b
now, since you know x = -2 and y =-1 is a solution, you can plug those values in:
-1 = 3 * -2 + b
-1 = -6 + b
5 = b
This means the equation is y = 3x + 5
A 7-kg bag of apple for $10 ________ per kg
Answer:
10/7= $1.43 per kg
...........
0.7 kg = $1
7 kg - $10
? kg - $1
7 / 10 = 0.7
0.7 kg = $1
Let me know if I did something wrong :)
Can somebody help me please
Step-by-step explanation:
First, find complete data.
That would be 2, 12 and 5, 30
Divide the output by the input to get the relationship/constant.
12/2 = 6 30/5 = 6
So...
1 x 6 = 6
and
48 / 6 = 8
9514 1404 393
Answer:
(b) Output 6, Input 8
Step-by-step explanation:
One of the things you can look at is the ratio of output to input. Here, it is constant, which makes things a lot easier
output/input = 12/2 = 30/5 = 66/11 = 6
Then for input 1, output is 1×6 = 6.
For unknown input, we have ...
input × 6 = 48
input = 48/6 = 8
__
The two blanks are ...
input: 8; output 6
Prove that a+b/2≥√ab
Using Postulates and/or Theorems learned in Unit 1, determine whether PRQ MRN.
Show all your work and explain why the triangles are similar or why they are not
Please help and give a good explanation
Answer:
RM / RP = 10/18 = 5/9
RN/RQ = 7/21 = 1/3
Since the two ratios are not the same, triangle PRQ is not similar to triangle MRN.
Step-by-step explanation:
The triangles PRQ and MRN are not similar.
Similar triangles:Triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.
This means the ratio of there corresponding sides must be equal. The corresponding angles must be the same . Therefore, the following rules must apply:
∠R = ∠R
∠Q = ∠N
∠P = ∠M
The following proportion rule must apply below:
PR / MR = RQ / RN = PQ / MN
18 / 10 = 21 / 7
9 : 5 ≠ 3 : 1
Therefore, the triangles are not similar
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