NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

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

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

Answer:

Jaime foxcgvxccvyyvytctvtvffddrgfgqvrctcrgctgtgtgygyg goku is the site

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  

Answer:

[tex]\sqrt{43}[/tex]

Step-by-step explanation:

Answer:(125-81.25)/125 = 0.35 = 35%

Step-by-step explanation:

Answer:

Sam Houston

Sam Houston, c. 1850

7th Governor of Texas

In office December 21, 1859 – March 15, 1861

Lieutenant Edward Clark

Step-by-step explanation:

Answer:

1086ft squared

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

-4/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-10-(-2))/(9-(-1))

m=(-10+2)/(9+1)

m=-8/10

simplify

m=-4/5

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)

Answer:

1200

Step-by-step explanation:

40 x 30=1200

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.

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

Answer:

?

Step-by-step explanation:

Answer:

positive it is moving to the positive side of the graph

9514 1404 393

Answer:

Step-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.

Answer:

f(-5) = 13

Step-by-step explanation:

Substitute x with -5

f(-5) = -3 (-5) - 2

=> 15 - 2

=> 13

hope this helps and is right. p.s. i really need brainliest :)

if this is wrong then I am incredibly sorry!

Answer:

sample

Step-by-step explanation:

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:

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

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.

Answer: 6 tenths

Step-by-step explanation:

3/5 = 6/10 (multiply by 2)

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.

Step-by-step explanation:

the last one is the answer

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°