Answer:
A 0.014
Hope this helps!!!!
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
Does this line represent a positive or negative slope?
How do you know?
only answer if you really know the answer !
Answer:
positive it is moving to the positive side of the graph
Triangle ABC and triangle DEF are similar. What is the measure of side DF?
. A farm stand displays 3 baskets with 12 peaches in each basket and 2 baskets with 15 plums in each basket. A customer buys 8 pieces of fruit. Which equation shows how to find the number of peaches and plums, p, in the basket? *
1 point
3 + 12 x 2 + 15 - 8 = p
12 -3 + 15 - 2 x 8 = p
3 x 12 + 2 x 15 + 8 = p
3 x 12 + 2 x 15 - 8 = p
PLZZ HELP ME SOMONE NO FILES TO I NEED IT BY TODAY THIS WILL REALLY HELP ME!!!!!!!!!!
Step-by-step explanation:
the last one is the answer
Please help I forgot how to do this
Answer:
56.
Step-by-step explanation:
Formula for solving a triangle is 1/2 * base * height.
How many 10ths equivalent to 3/5
Answer: 6 tenths
Step-by-step explanation:
3/5 = 6/10 (multiply by 2)
There are 5 cups of tea in the pitcher. There are 10 fluid ounces of tea in the glass. In fluid ounces, how much more tea is in the pitcher than in the glass? Type in! QUICK!
Answer:
30 fl oz
Step-by-step explanation:
1 c = 8 fl oz
5c = 40 fl oz
40 fl oz - 10 fl oz = 30 fl oz
Answer:
3 fl oz
Step-by-step explanation:
I need to know the area!!!
Answer:
Area of Grass = 6 m²
Area of Cement = 24 m²
Area of Grass and Cement Together = 30 m²
Step-by-step explanation:
Area of Grass = 3m × 2m = 6m²
Area of Cement = (6m × 5m) - 6m² = 30m² - 6m² = 24m²
Area of Grass and Cement Together = 6m² + 24m² = 30m²
Determine the value of x and name the type of triangle.
8x + 2
70°
60°
The value of x
Type of triangle
8x+2+70°+80° = 180°
8x+132° = 180°
8x = 180°- 132°
x = 48°/8
Hence, x = 6
The population of racoons in a town increased by 10% from Year 1 to Year 2. The population of racoons in Year 2 is 66.
Answer:
59.4 year one
Step-by-step explanation:
i dont know if this what you mean but i think this is what you mean
In triangle ABC, the measure of angle B is 50 degrees.
Give possible values for the measures of angles A and C if ABC is an acute triangle.
Which of the following is not true when using the confidence interval method for testing a claim about μ when σ is unknown? Choose the correct answer below. A. The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results. B. The P-value method, the traditional method, and the confidence interval method are equivalent and yield the same results. C. For a two-tailed hypothesis test with a 0.05 significance level, one must construct a 95% confidence interval. D. For a one-tailed hypothesis test with a 0.05 significance level, one must construct a 90% confidence interval.
Answer:
The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results ( A )
Step-by-step explanation:
The False statement about using the confidence interval method when testing a claim about μ when σ is unknown is ; The P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results
This is because sometimes the values gotten from the p-value and confidence interval differs and this occurs mostly when the sample size is very small.
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 size of each sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want a 95% confidence level and that the error is smaller than 0.03.
Answer:
sample
Step-by-step explanation:
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
Please help giving brainliest please help
Answer:
G
Step-by-step explanation:
In the equation, 8.5 will represent how much money Oscar earns per hour, and the x represents how many hours he works. The inequality sign shows that the sum of 8.5x and 100 has to be at least 397.50 (397.50 and up), so H and J are automatically wrong. If Oscar had given his brother 100 dollars, there would be a subtraction sign, but there is an addition sign instead, meaning he gained 100 dollars that did not come from his job. It would be the most logical to say that his brother had given it to him, so G is the correct answer.
5x5x5x5x5x5+ 10-2x10x20
Answer:
15,235
Step-by-step explanation:
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
bit.[tex]^{}[/tex]ly/3a8Nt8n
Which expressions are equivalent to 6x−18 ?
Answer:
x + 5x - 18, 3(2x - 6), 2(3x - 9).
Step-by-step explanation:
x + 5x - 18
6x - 18
x + x + x - 10 - 8
3x - 10 - 8
3x - 18
3(2x - 6)
6x - 18
2(3x - 9)
6x - 18
6(x - 18)
6x - 108
The expression which are equivalent to 6x−18 are x + 5x - 18, 3(2x - 6), 2(3x - 9). The correct options are A, C, and D.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Solve all the given options,
Option A,
x + 5x - 18
6x - 18
Option, B
x + x + x - 10 - 8
3x - 10 - 8
3x - 18
Option, C
3(2x - 6)
6x - 18
Option,D
2(3x - 9)
6x - 18
Option,E
6(x - 18)
6x - 108
Therefore, the expression which are equivalent to 6x−18 are x + 5x - 18, 3(2x - 6), 2(3x - 9). The correct options are A, C, and D.
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
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
Find ? (inscribed angle)
9514 1404 393
Answer:
90°
Step-by-step explanation:
The inscribed angle is half the measure of the arc it subtends. A semicircle is an arc of 180°. Half that is 90°.
? = 90°
Sue needs 1/3 of a cup of flour for 1/4 of a batch of cookies. How much flour does she need for a whole batch of cookies?
***WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER***
Answer:
1 1/3 cups of flour
Step-by-step explanation:
1/3 x 4 = 4/3 = 1 1/3
Hope that helps! :)
-Aphrodite
In a manufacturing process, the assembly line speed (feet per minute) is believed to affect the number of defective parts found during the inspection process. Data (File 3) are collected on the number of defective parts for a variety of line speeds. Develop a linear regression equation that can be used to predict the number of defective parts given the line speed.
Line Speed Number of Defective Parts Found
20 21
20 19
40 15
30 16
60 14
40 17
Required:
a. Develop a scatter chart with line speed as the independent variable. What does the chart indicate about the relationship between line speed and the number of defective parts found?
b. Use the data to develop an estimated regression equation that could be used to predict the number of defective parts found, given the line speed. What is the estimated regression model?
c. Test whether each of the regression parameters βo and β1 is equal to zero at 0.01 level of significance. What are the correct interpretations of the estimated regression parameters?
d. How much of the variation in the number of defective parts found for the sample data does the model you estimated in part (b) explain?
Answer:
Jaime foxcgvxccvyyvytctvtvffddrgfgqvrctcrgctgtgtgygyg goku is the site
6. Priya can type 40 words per minute. Typing at that same rate, about
how many words can she type in 30 minutes?
Answer:
1200
Step-by-step explanation:
40 x 30=1200
Please help me solve this problem and explain the steps
Answer:
1086ft squared
Step-by-step explanation:
Find the inverse of each function
1. f(x) = 4/(x+2) - 2
2. f(x)= -2x^5 - 3
9514 1404 393
Answer:
1. f^-1(x) = 4/(x+2) -2
2. f^-1(x) = (-(x+3)/2)^(1/5)
Step-by-step explanation:
1. As with all "inverse function" problems, solve for y:
x = f(y)
x +2 = 4/(y +2) . . . . add 2
y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)
y = 4/(x+2) -2 . . . . . subtract 2
We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.
f^-1(x) = 4/(x+2) -2
__
2. x = f(y)
x +3 = -2y^5 . . . . add 3
-(x +3)/2 = y^5 . . . . . divide by 2
(-(x +3)/2)^(1/5) = y . . . . take the 5th root
f^-1(x) = (-(x +3)/2)^(1/5)
In typeset form, that is ...
[tex]\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}[/tex]
This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.
_____
The graphs show the function and inverse are symmetrical about the line y=x, as they should be.
What is the product?
5
-2.
-6
2
-7
8
-5
2.
6.
-2
-3
A
4 -3
-7
1
Mark this and retum
Step-by-step explanation:
correct answer is
[tex] \binom{ - 5 \: 2}{6 \: - 2} [/tex]
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?
PLEASE HELP 11 POINTS FOR THE CORRECT ANSWER
Answer:
[tex]\sqrt{43}[/tex]
Step-by-step explanation:
A snow storm hit Sanford with 7 inches of snow in 28
hours. What was the rate of the snowfall in inches per
hour?
Answer:
.25 in per hour
Step-by-step explanation:
you just divide 28/7 and you get the per hour and you can double check your work by doing .25 * any hour until you get 28
Answer:
it will be 4 inches per hour
Step-by-step explanation:
to find unit rate you will divide 28 and 7 and will get 4
Advanced Calculation Question:
Your patient weighs 150 kg. The ordered dose is 3 mEq/kg/hour to be given over 1 hour. The available
the medication is 1 mEq/mL. Over a one hour period _mL will be administered.