What would the value of X be?

Answer:

P(Take the bus|Junior)=0.57

Step-by-step explanation:

Conditional Probability

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:

[tex]{\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}}[/tex]

Where [tex]P(A\cap B)[/tex] is the probability that both events occur and P(B) is the probability that B occurs.

The two-way table shows statistics of students and we are interested to find the probability that, given the student is a junior (let's call it event B), they also take the bus (Event A). Thus, the probability we need to calculate is:

[tex]\displaystyle P(A\mid B)={\frac {P(A\cap B)}{P(B)}}[/tex]

Checking on the table, we can see that both events occur when the row and the column of both events coincide, i.e. 20 students out of a total of 100 students in total. Thus:

[tex]\displaystyle P(A\cap B)=\frac {20}{100}=0.2[/tex]

The probability that a student is classified as Junior is

[tex]\displaystyle P(B)=\frac {35}{100}=0.35[/tex]

The conditional probability is:

[tex]\displaystyle P(A\mid B)=\frac {0.2}{0.35}=0.5714[/tex]

P(Take the bus|Junior)=0.57

Answer:

1,823.20

Step-by-step explanation:

I'm smart!

Let they be x.

Cost of textbooks + laptops cant greater than total amount.

(cost of 1 textbooks * number of textbooks) + (cost of 1 laptop * number of laptops ≤ 6500

(30*116) + (x*439) ≤ 6500

3480 + 439x ≤ 6500

439x ≤ 3020

x ≤ 6.8(approx)

Last natural number is 6, says, they can buy 6 laptops at max.

Answer:

The number of text messages is 85 ⇒ B

Step-by-step explanation:

To solve this question

The form of the linear equation is y = m x + b, where

Plan A:

∵ The fee per message is $0.10

∴ m = 0.10

∵ The monthly fee is $35

∴ b = 35

∴ The total cost y = 0.10 x + 35

Plan B:

∵ The fee per message is $0.30

∴ m = 0.30

∵ The monthly fee is $18

∴ b = 18

∴ The total cost y = 0.30 x + 18

∵ Both plans cost is the same for one month

→ Equate the right sides of the two equations

∴ 0.30 x + 18 = 0.10 x + 35

→ Subtract 0.10 x from both sides

∴ 0.30 x - 0.10 x + 18 = 0.10 x - 0.10 x + 35

∴ 0.20 x + 18 = 35

→ Subtract 18 from both sides

∴ 0.20 x + 18 - 18 = 35 - 18

∴ 0.20 x = 17

→ Divide both sides by 0.20

∴ [tex]\frac{0.20x}{0.20}=\frac{17}{0.20}[/tex]

∴ x = 85

∴ The number of text messages is 85

Answer:

volume = about 117.81 feet^3

density = 0.763942 lb/ft^3

Step-by-step explanation:

this is if the piece of pine is cylindrical

Answer: y=1/4+3

Step-by-step explanation:

1. The slope is 12

2. (6 - 2)/(12+4)= 4/16= 1/4

y - 2 = 1/4(x + 4)

y - 2 = 1/4x + 1

y = 1/4x + 3

Answer:

y=1/2x-5/4

I hope this helps you and I hope you do well on whatever you are working on.

Answer:

True

Step-by-step explanation:

Answer:

3/-2

Step-by-step explanation:

All I did was put - 3/2 into my calculator and got the answer. I than found the answer for the rest of the fractions and only the first one equals to - 3/2.

Answer:

32.15

Step-by-step explanation:

Answer:

$32.58 per person

Step-by-step explanation:

Answer:

it is raining if and only if the ground is wet

Step-by-step explanation:

Answer:

you are correct

Step-by-step explanation:

Answer:

2.17 x 104

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image  

Answer:

a

[tex]P(X < 65) =  0.003467[/tex]

b

[tex]P(86 <  X <  110 )= 0.63928 [/tex]

c

[tex]P(X > 120 ) =0.062024[/tex]

Step-by-step explanation:

From the question we are told that

 The  mean is  [tex]\mu  =  \$ 100[/tex]

 The  standard deviation is  [tex]\sigma  =  \$ 13[/tex]

 Generally the probability that the  monthly utility bills is less than  $65  is  mathematically represented as

     [tex]P(X < 65) =  P(\frac{X  -  \mu }{\sigma }  < \frac{65  -  100 }{13 }   )[/tex]

Generally

  [tex]\frac{X  -  \mu }{\sigma } =  Z (The\ standardized \ value \ of\  X )[/tex]

So

 [tex]P(X < 65) =  P(Z < -2.70  )[/tex]

From the z-table

    [tex]P(Z < -2.70  ) =  0.003467[/tex]

So  

   [tex]P(X < 65) =  0.003467[/tex]

Generally the  probability that a randomly selected utility bill is between $86​ and $​110 is mathematically represented as

 [tex]P(86 <  X<  110 )=  P( \frac{86 -100}{ 13} <  \frac{X - \mu}{\sigma } < \frac{86 -100}{ 13}    )[/tex]

=>  [tex]P(86 <  X <  110 )=  P( \frac{86 -100}{ 13} < Z < \frac{110 -100}{ 13} )[/tex]      

=>    [tex]P(86 <  X <  110 )=  P(-1.08 < Z < 0.77 )[/tex]      

=>    [tex]P(86 <  X <  110 )= P(Z < 0.77 ) -  P(Z < -1.08 ) [/tex]    

From the z-table

    [tex]P(Z < 0.77 ) = 0.77935[/tex]

and  

   [tex]P(Z < -1.08 ) =  0.14007[/tex]

So

     [tex]P(86 <  X <  110 )= 0.77935  -  0.14007 [/tex]    

=>   [tex]P(86 <  X <  110 )= 0.63928 [/tex]    

 Generally the probability that the  monthly utility bills is  more than $120  is mathematically represented as

         [tex]P(X >120 ) =  P(\frac{X  -  \mu }{\sigma }  > \frac{120  -  100 }{13 })[/tex]

=>   [tex]P(X > 120 ) =  P(Z > 1.538   )[/tex]

From the z-table

    [tex]P(Z > 1.54  ) =  0.062024[/tex]

So  

   [tex]P(X > 120 ) =0.062024[/tex]

Answer:

Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.

Step-by-step explanation:

In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean.

Let us consider a random variable, X that follows a normal distribution, N (µ, σ²).

Then Z is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is,

[tex]Z=\frac{x-\mu}{\sigma}\sim N(0, 1)[/tex]

This, z-score is known as the standardized score.

It is provided that the distribution of finishing time for men (say, X) was approximately normal with mean µ = 242 minutes and standard deviation σ = 29 minutes.

The finishing time for Clay was x = 289 minutes.

Compute Clay's z-score as follows:

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

   [tex]=\frac{289-242}{29}\\\\=1.67857143\\\\\approx 1.68[/tex]

Thus, Clay's standardized score is 1.68.

That is, Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.

Answer:

7 1/3 servings

Step-by-step explanation:

0.75x=5.5

x=5.5÷0.75

x=7.33333

 -or-

7 1/3 servings

Answer:

16

Step-by-step explanation:

All you have to do is add 14+34 which is 48. Since you know that she averaged 3 pieces of candy you have to divide 48 and 3 which is 16

Answer:

16...........................

Step-by-step explanation:

add total candies, divide by 3

Answer:

The pattern goes by subtracting -24 from the previous number

1st - 160

2nd - 136

3rd - 112

4th - 88

5th - 64

6th - 40

7th - 16

The 7th term is 16.

Answer:

B

Step-by-step explanation:

The part of the function where x <=2 is a line, so we can rule out C and D. Lastly, the part of the function where x<=2 has a slope of -2, so we can rule out A. That leaves us with the only possible answer B

Answer:

(-5,-3.5)

Step-by-step explanation:

Answer:

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

Step-by-step explanation:

A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

500 dollars

Step-by-step explanation:

Answer:

=16xy−31xz−9yz

Step-by-step explanation:

The required simplified solution of the given expression is 16xy - 9yz -31xz.

Given that,
To determine the simplified solution of the given expression,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= (-15xz-4xy)+(20xy-9yz-16xz)
Adding the coefficients of the alike terms.
= 16xy - 9yz -31xz.

Thus, the required simplified solution of the given expression is 16xy - 9yz -31xz.

Learn more about simplification here:

https://brainly.com/question/12501526

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Answer: It's letter A, because it's slope-intercept form.

Step-by-step explanation:

Answer: 1 1/3

Step-by-step explanation: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.

Hope this Helps :3

Step-by-step explanation:

Hey there!

Given;

[tex] = \frac{8}{9} + \frac{4}{9} [/tex]

Adding them.

[tex] = \frac{8 + 4}{9} [/tex]

[tex] = \frac{4}{3} [/tex]

Change into mixed number.

[tex] = 1 \frac{1}{3} [/tex]

Hope it helps....

The length of the rectangular room will be;

⇒ 18 feet

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The area of a rectangular room = 162 square feet

The width of the room = 9 feet.

Now,

Since, we know that;

Area of Rectangle = Length x Width

Let The length of the room = y feet

Substitute all the given values, we get;

The area of a rectangular room = Length x Width

162 = y x 9

Divide by 9, we get;

y = 162 / 9

y = 18 feet.

Thus, The length of the rectangular room will be;

⇒ 18 feet

Learn more about the rectangle visit:

https://brainly.com/question/18019422

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Answer:

44041.03

Step-by-step explanation:

A = P(1 + r/n)^nt

   = 12400(1 + .43/12)^12(3)

   = 12400(1.03583333)³⁶

   = 12400(3.55169589)

   = 44041.029

Answer:

  8(x +9) = 5

Step-by-step explanation:

The words "the sum of a number and 9" mean "x+9" when x is used to represent the number. The "8 times the sum" is 8(x+9). When that "equals 5", then we have the equation ...

  8(x +9) = 5

Answer:

dc   ,    ab

Step-by-step explanation:

on edge 2020

Answer:

Segment AD must be congruent to segment

✔ DC

.

Segment BC must be congruent to segment

✔ AB

.Step-by-step explanation:

correct on edge nov 2020

Consider a number line with 40, 60 and 80 marked.

The value 60 is the midpoint of 40 and 80 since (40+80)/2 = 120/2 = 60

If we curved the number line to fit along the round edge of the protractor, then we'll get the diagram you see here.

Ray OB cuts angle COA in two equal pieces (angle COB, angle BOA). This is another way of saying "ray OB bisects angle COA".

Answer:

21 is the mode

Step-by-step explanation:

a mode is the number in a set that occurs the most and 21 is the number that appeared the most in this set