According to the histogram of travel times to work from the US 2000 census (Page 6 of "Journey to Work: 2000"), roughly what percentage of commuters travel more than 45 minutes?

Answer: 219

Step-by-step explanation:

Answer: C

Step-by-step explanation:

We can say with 98% confidence that the true average CPU time of the teleprocessing transactions falls between 5751 and 6278 milliseconds.

What is average?

In mathematics, the average is a value that represents the typical or central value of a set of numbers. It is also known as the mean and is calculated by adding up all the values in a set and then dividing by the number of values in the set.

To find the 98% confidence interval for the average CPU time, we can use the formula:

CI = \(\bar{x}\) ± t_(α/2,n-1) * (s/√n)

where:

\(\bar{x}\) = sample mean

t_(α/2,n-1) = critical value from the t-distribution with n-1 degrees of freedom and a significance level of α/2

s = sample standard deviation

n = sample size

First, we need to calculate the sample mean, sample standard deviation, and the critical value. Using Excel, we can find:

\(\bar{x}\) = 6014.9

s = 996.4

t_(α/2,n-1) = T.INV.2T(0.02, 69) ≈ 2.660

Plugging in these values into the formula, we get:

CI = 6014.9 ± 2.660 * (996.4/√70)

CI ≈ 6014.9 ± 263.5

Rounding to the nearest integer and putting the interval in ascending order, we get:

CI ≈ (5751, 6278)

Therefore, we can say with 98% confidence that the true average CPU time of the teleprocessing transactions falls between 5751 and 6278 milliseconds.

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Solution

Step 1

Write out the equations representing each slide in the problem

Let the hat be = x

The golden rabbit = y

The briefcase = z

Hence

5x + y +3z = $237 .......................(1)

7x+7z= $371 ..................................(2)

8x + 3y + z = $320 .................(3)

Step 2

Solve the equations by substitution of the value of z from equation (2) into equation (1) and (3)

From (2)

7z = 371 -7x

z = (371-7x)/7

Substituting this value into equation (1) and (3) gives

Step 4

Find the value of x and y by elimination method

Subtracting equation 7 and 6 we have

3 x: 14x +7y = 546

1x : 49x +21y=1869

------------------------------

42x +21y =1638

49x +21y = 1869

----------------------------

-7x + 0 = -231

x = -231/-7 = $33= Price of one hat

Substituting this value of x into equation (7), we have

49(33) +21y = 1869

21y = 1869 -1617

21y = 252

y = $12= price of one gold rabbit

Step 5

Find the value of z using equation 1

From 1

5(33) + 12 + 3z = 237

177 +3z= 237

3z = 237 -177

3z= 60

z= 60/3

z= $20

Step 6

Find the value of

4x + 7y + 2z

4(33) + 7(12) +2(20) =132 +84 + 40 = $256

The area of the triangle, when a = 2 and c = 3, is 1512 square centimeters.

We must apply the formula for the area of a triangle, which is provided by: to determine the triangle's area.

(1/2) * Base * Height = Area

We can enter the values of a = 2 and c = 3 into the formula given that the base length is 3ac2 and the height is 2 centimetres greater than the base length.

Base length =\(3ac^2 = 3 * 2 * (3^2) = 3 * 2 * 9 = 54\) centimeters

Height is calculated as Base Length + 2 (54 + 2 = 56 centimetres).

Using these values as a substitute in the formula, we obtain:

Area =\((1/2) * 54 * 56 = 1512\) square centimeters

centimetres square

It's crucial to understand that the calculation assumes the triangle is a right triangle with the specified base and height and that the given values of a and c are accurately used in the formula.

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The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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distribute the 3 in the parentheses

simplify common factors

add 18 on both sides and simplify

divide by 9 on both sides

Answer:

The area of the figure is 143 sq in

Step-by-step explanation:

10 in * 7 in = 70 sq in

12 in * 4 in = 48 sq in

5 in * 5 in = 25 sq in

A = 70 sq in + 48 sq in + 25 sq in

A = 143 sq in

The incorrect step is ln(x²) = ln(3x/0) because ln(x/y) = lnx - lny and the solutions are x = 0, 3

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

\(\rm a^b = c\\log_ac =b\)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

2ln(x) = In(3x) - [In(9) - 2ln(3)]

In(x²) = In(3x) - [In(9) - In(9)]

ln(x²) = ln(3x) - 0

ln(x²) = ln(3x/0)   (incorrect step)

ln(x²) = ln(3x)

x² = 3x  (correct step)

x² - 3x =0

x(x - 3) = 0

x = 0, 3

Thus, the incorrect step is ln(x²) = ln(3x/0) because ln(x/y) = lnx - lny and the solutions are x = 0, 3

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Answer:

240°

Step-by-step explanation:

measure of XWZ = 360 - 120 = 240°

The measure of arc wz is 240 degrees.

here, we have,

we know that,

A small arc is one with a measure of fewer than 180 degrees. A major arc is one with a measure greater than 180 degrees. A semicircle is an arc that divides a circle in half and has a measure of 180 degrees.

An arc is a continuous segment of a circle. There are two sections, one of which is larger than the other. The major arc is the larger one, and the minor arc is the smaller one.

Given:

From diagram, m ∠xz = 120 degrees.

We know that whole circle = 360 degrees

So, measure of arc wz = 360 - 120

                                     = 240

Hence, the measure of arc wz is 240 degrees.

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Answer:

27 gallons

Step-by-step explanation:

A rectangular room is a rectangular prism. The floor and ceiling are the bases. The walls are the lateral faces. The lateral are of a rectangular prism is the product of the perimeter of the base and the height of the prism.

lateral area = Ph

lateral area = 2(10 ft + 18 ft) × 8 ft

lateral area = 448 ft²

area of walls = 448 ft²

area of three coats = 3 × 448 ft² = 1,344 ft²

area covered by 1 gallon of paint = 50 ft²

number of gallons of paint needed = 1344 ft² / 50 ft² = 26.88

Answer: 27 gallons

Answer:618.014

Step-by-step explanation: It may look like hundredths which is where must people mess up but it is instead thousandths.

Answer:

the answer is B.

Step-by-step explanation:

PLZZ MARK BRAINLIEST

Answer:

Step-by-step explanation:

The domain includes all x values, and here, it is [-2, 4].

1.) 1

Let's start with 18 degrees and then subtract 12 degrees from it

18-12=6

Now let's take 6 degrees and subtract 5 from it

6-5=1

At 2 pm the temperature was 1 degree.

2.) $125

Start with the total amount John had ($250) and then subtract his remaining amount ($125) to find out how much he withdrew.

$250-$125=$125

Answer:

50 degrees

Step-by-step explanation:

PLZ MARK BRAINLIEST

Answer: Each trial isn’t being classified as a success or failure, so X is not a binomial variable.

Step-by-step explanation:

X is not a binomial variable since each trial is not categorized as a success or failure.

The likelihood of failure increased to the power of the difference between the number of successes and the number of tries is multiplied by the chance of succeeding raised to the power of the number of successes.

The chance of success for the trials in question in a binomial distribution must stay constant. Because there are only two possible outcomes when flipping a coin, the likelihood of doing so is 0.5 for each trial.

Since lX indicates the typical number of pets in the sample and their outcomes are independent, X is not a binomial variable.

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Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

Answer:

false

Step-by-step explanation:

theyre not proportional because 100*2=200 but 35*2 is not 45 :)

Answer:

True

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

How Far Can A Snail Travel In One Hour

If a snail can travel over half an inch per minute, that means in one hour a snail can travel up to 40 inches. If you want to think about how far this is in feet, it means that snails move up to 3.5 feet per hour.

Consider the fact that the average human being can walk about a mile, or 5280 feet, in one hour.

This means that snails can take up to 1,500 days, or over 4 years, to travel just one mile.

Answer: 2

Step-by-step explanation: 12 x 3 first becuase pemdas

Given data:

The given number is 105.

The three quarter for the given number is,

Thus, the three quarters of the given number is 78.75.

3/4 x 105 = 78.75

Here we will explain how to calculate 3/4 of 105.

3/4 of 105 are simply 3/4 times 105, which can be written as follows:

3/4 x 105

3/4 x 105 = 78.75

or

The fraction for three-quarters is 3/4. Simply dividing 3/4 = 0.75 as a decimal, which is another way to express it.

You can see that the result of multiplying 0.75 by 105 is the same as the answer given before.

0.75 × 105 = 78.75

Additionally, you might find it helpful to know that the result of multiplying 0.75 by 100 is 75.00. This indicates that our response of 105.00 is 78.75

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Answer:

1/2

Step-by-step explanation:

Let's say the number is 1.5

1.5 = 1 + 0.5

(1.5 = 1 + 0.5)*10 ==> multiply by 10 to remove decimals

15 = 10 + 5

5 is half of 10

Hence, 0.5 is half of 1 ==> 0.5 = 1/2

Answer:

- 108

Step-by-step explanation:

Substitute s = - 3 into the expression

- 3 | 15 - (- 3) | + 2(- 3)³

= - 3 | 15 + 3 | + 2(- 27)

= - 3 | 18 | - 54

= - 3 × 18 - 54

= - 54 - 54

= - 108

If the expression  (4k + 8)/4 simplifies to an expression of the form ak + b, then the value of a/b is 1/2

The expression is (4k + 8) / 4

The expression is the mathematical statement that consist of the different variables, numbers and the mathematical operator. The mathematical operators are addition, subtraction, division and multiplication.

The given expression is (4k + 8)/ 4

Solve the expression

(4k + 8) / 4 = 4k/4 + 8/4

Divide the terms

=k + 2

The result is in the form of ak + b

The value of a = 1

The value of b = 2

The value of a/b = 1/2

Therefore, the value of the expression a/b is 1/2

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Answer:We want to find the average rate of change of the graph on the interval 1 ≤ x ≤ 3.

The correct option is B: -4

We know that for a given function f(x) the average rate of change on the interval a ≤ x ≤ b is given by:

Here we have the interval  1 ≤ x ≤ 3, and by looking at the graph we can see that:

f(3) = 1

f(1) = 9

Then the average rate of change is:

So the correct option is B.

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Step-by-step explanation:

Answer:

plane EHV

Step-by-step explanation:

To find the other name of plane T, we have to find any three non-collinear points on the plane T.

It means we have to find any three points which lie on the plane T but in a single straight line.

From the given figure it is clear that points E, H and V lie on plane T and they are not collinear.

Therefore, the other name of plane T is plane EHV.

Note: There are many other possible names of plane T, EHV is one of them.

The cross-sectional area of the second wire will be 875 cmil.

A cross-section is the non-empty intersection of a solid body in three dimensions with a plane in geometry and science.

Given that one wire has a cross-sectional area of 1,250 cmil and a resistance of 7 ohms the second piece of wire is identical except for the cross-sectional area has a resistance of 10 ohms.

The formula for resistance is:-

R = ( ρl) / A

7 = (ρl) / 1250.......................(1)

10 = (ρl) / A    .......................(2)

Solve the above two equations.

( 7 / 10 ) = A / 1250

A = 125 x 7

A = 875 cmil

Therefore, the cross-sectional area of the second wire will be 875 cmil.

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