answering the questions,
2. 30 employees have children
studying in grade school, and
10 employees have no children
at all. What is the ratio of
employees who have children
studying in grade school to
employees who have no
children?

The probability that a truck drives between 122 and 127 miles in a day is 0.0165, rounded to four decimal places.

To find the probability that a truck drives between 122 and 127 miles in a day, we'll use the z-score formula and standard normal distribution table. Follow these steps:

Step 1: Calculate the z-scores for 122 and 127 miles.
z = (X - μ) / σ

For 122 miles:
z1 = (122 - 90) / 18
z1 = 32 / 18
z1 ≈ 1.78

For 127 miles:
z2 = (127 - 90) / 18
z2 = 37 / 18
z2 ≈ 2.06

Step 2: Use the standard normal distribution table to find the probabilities for z1 and z2.
P(z1) ≈ 0.9625
P(z2) ≈ 0.9803

Step 3: Calculate the probability of a truck driving between 122 and 127 miles.
P(122 ≤ X ≤ 127) = P(z2) - P(z1)
P(122 ≤ X ≤ 127) = 0.9803 - 0.9625
P(122 ≤ X ≤ 127) ≈ 0.0178

So, the probability that a truck drives between 122 and 127 miles in a day is approximately 0.0178 or 1.78%.

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There are 65, 19-bit sequences of 0s and 1s that start with a 0 and end with a 0 that exist.

Any subsequent 0 in the sequence must come exactly two or three spots down from the previous one.

We begin at point 1 and finish at position 19 in this instance.

That is, we advance along the line a whole of 18 positions.

In order to achieve 18, we must add all series consecutive 2s and 3s.

There are numerous methods for doing this:

Case 1: There is just one possible arrangement for nine 2s.

Case 2: Two 3s with six 2s - thus ⁸C₂ ways = 28 ways

Case 3: Four 3s with three 2s - thus ⁷C₄ ways = 35 ways

Case 4: Six 3s - Only 1 way to arrange.

Thus, the number of arrangements = 1 + 28 + 35 + 1 = 65 .

Therefore ,the total possible number of the sequence that cane be made is 65 .

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Considering the equations for the length of each segment, the numerical length of line ln is of 17 units.

Line segment ln is divided by the point m, hence the length of the line can be written according to the following equation:

ln = lm + mn.

The measures are given as follows:

Hence, using the equation we can solve for x, as follows:

ln = lm + mn.

4x + 9 = 2x + 7 + 3x

5x + 7 = 4x + 9

x = 2.

Hence the numerical length of line ln is given by:

ln = 4x + 9 = 4(2) + 9 = 8 + 9 = 17 units.

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Answer:

dylan

Step-by-step explanation:

The equation represents this situation is 45 - 4t = 37

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

The number of balls left = Sets of tennis balls * Number of  balls in each set - Tennis ball lost in each match * Number of matches

Substitute the known values in the above equation, so, we have the following representation

37 = 15 * 3 - 4 * t

Evaluate the products

37 = 45 - 4t

Rewrite as

45 - 4t = 37

Hence, the equation is 45 - 4t = 37

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Answer:

22 and 14

Step-by-step explanation:

22 divided by 2 is 11

11 plus 3 is 14

22 minus 14 is 8

The measures of central tendency of the first psychology exam in a semester are the average score, which was an 85.

The correlation coefficient and the range of scores from 95 to 65 are not measures of central tendency either.

The standard deviation is a measure of variability, not central tendency, that the measures of central tendency of the first psychology exam are the average and median scores. This states that the mode, correlation coefficient, range of scores, and standard deviation are not measures of central tendency.

Hence, the measures of central tendency for the first psychology exam in a semester are the average score (85) and the median score (80).

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The measures of central tendency for the psychology exam scores include the average, median, and mode.

The measures of central tendency of the first psychology exam in a semester include the average score, median score, and mode (most frequently occurring score).

The average score on the exam was 85, which represents the mean of all the scores.

The median score on the exam was 80, which represents the middle value when all the scores are arranged in order.

The most frequently occurring score was 82, which represents the mode of the scores.

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Answer:

What's the question very confused on how to answer...

Step-by-step explanation:

The difference quotient of the function f(x) = 4x² - 5x is 8x + 4h - 5.

The formula for difference quotient is expressed as:

\(\frac{f(x+h)-f(x)}{h}\)

Given the function in the question:

f(x) = 4x² - 5x

To solve for the difference quotient, we evaluate the function at x = x+h:

First;

f(x + h) = 4(x + h)² - 5(x + h)

Simplifying, we gt:

f(x + h) = 4x² + 8hx + 4h² - 5x - 5h

f(x + h) = 4h² + 8hx + 4x² - 5h - 5x

Next, plug in the components into the difference quotient formula:

\(\frac{f(x+h)-f(x)}{h}\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - (4x^2 - 5x)}{h}\\\\Simplify\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - 4x^2 + 5x)}{h}\\\\\frac{(4h^2 + 8hx - 5h)}{h}\\\\\frac{h(4h + 8x - 5)}{h}\\\\8x + 4h -5\)

Therefore, the difference quotient is 8x + 4h - 5.

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Part a: The expression that represents the area of the rectangle is A = (3x + 5)(6x + 11). To calculate the area, we must multiply the two sides of the rectangle together. The length of the rectangle is 3x + 5 units and the width of the rectangle is 6x + 11 units. Therefore, the area is (3x + 5)(6x + 11).

Part b: The degree of the expression obtained in part a is 2 and the classification is a binomial.

Part c: The closure property for polynomials states that the result of combining two polynomials is also a polynomial. In part a, we combined two polynomials, 3x + 5 and 6x + 11, to form the expression (3x + 5)(6x + 11). This expression is also a polynomial, demonstrating the closure property for polynomials. The closure property for polynomials allows us to combine two polynomials and still have a polynomial as the result. This is important in mathematics because it allows us to simplify equations and solve problems more quickly and efficiently.

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Answer:

Step-by-step explanation:

number of eggs in 2 boxes = 12

Total number of eggs = 20 x 6 = 120

12:120

Simplify

2:20

Simplify

1:10

pls mark me brainiest

M = A + |B| is the function's highest possible value. When sin or cos x equals 1, this maximum value is reached. m = A |B| is the function's lowest possible value. If either cos x or sin x is equal to 1, this minimum will be reached.

Example :

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The number of ice creams according to the probability,  Neither contain nuts nor are fat free is 6.

According to the statement

We have to find that the ice creams that neither are fat-free nor contain nuts.

So, For this purpose, we know that the

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

From the given information:

There are 35 flavors of ice cream at an ice cream parlor, 25 flavors contained ice creams.

Contain nuts = 25

Are fat free = 12

Are both = 8

Then

Contain nuts or are fat free = 25+12-8 = 29

Total = 35

Neither contain nuts nor are fat free = 35-29 = 6.

So, The number of ice creams according to the probability,  Neither contain nuts nor are fat free is 6.

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The solution to the compound inequality is x > 6 or x < -3

An inequality is a mathematical expression that has <, >, ≤ and ≥.

A compound inequality is an inequality that combines two simple inequalities.

Therefore, let's solve the compound inequality as follows:

2x - 4 > 8 or 3x - 1 < - 10

2x - 4 > 8

add 4 to both sides of the inequality

2x - 4 + 4 > 8 + 4

2x > 12

divide both sides by 2

x > 12 / 2

x > 6

3x - 1 < - 10

add 1 to both sides of the inequality

3x - 1 + 1 < - 10 + 1

3x < - 9

divide both sides by 3

x < -9 / 3

x < -3

Therefore, x > 6 or x < -3

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The solution to the compound inequality will be; x > 6 or x < -3

Inequality is defined as the relation which makes a non-equal comparison between two functions in an problem.

A compound inequality is defined as an inequality that combines two simple inequalities.

Therefore, solve the compound inequality that will be;

2x - 4 > 8 or 3x - 1 < - 10

2x - 4 > 8

Then add 4 to both sides of the inequality so,

2x - 4 + 4 > 8 + 4

2x > 12

Now, divide both sides by 2

x > 12 / 2

x > 6

3x - 1 < - 10

Again, add 1 to both sides;

3x - 1 + 1 < - 10 + 1

3x < - 9

Then divide both sides by 3;

x < -9 / 3

x < -3

Therefore, solution to the compound inequality is; x > 6 or x < -3

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Answer:

let g(x)=y

y=6(x-1)

interchange the values of x and y

x=6(y-1)

Make y the subject

x=6y-6

x+6=6y

(x+6)/6=y

The claim about the properties of abcdabcda, b, c, d, and a'b'c'd'a' b' c' d' a is false.

The claim states that abcdabcda, b, c, d, and a'b'c'd'a' b' c' d' a are prime. However, this claim is not true. The term "prime" refers to a number that is divisible only by 1 and itself, with no other divisors. In the given context, abcdabcda, b, c, d, and a'b'c'd'a' b' c' d' a are not numbers but rather variables or symbols representing unknown values. As such, they cannot be classified as prime or non-prime.

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Answer:

Total cost of 6 bags of popcorn and 3 drinks: \(\$39.75\)

Total cost of \(p\) bags of popcorn and \(d\) drinks: \(4.75p+3.75d\)

Step-by-step explanation:

Information given:

Therefore, the total cost of 6 bags of popcorn and 3 drinks must be \(6\cdot 4.75+3\cdot 3.75=\boxed{\$39.75}\)

The cost of \(p\) bags of popcorn and \(d\) drinks is then \(\boxed{4.75p+3.75d}\)

Answer:

x = -3

x = -1

Step-by-step explanation:

Answer:x=-3 x=-1

Step-by-step explanation: Subtract for 4 from both sides

(3x+2)=4x+5)

(3x+2)-4x=4x+5-4x

Answer:

Step-by-step explanation:

3. 10x + 6 = 8x

   8x = 10x + 6

   -2x = 6

  x = -3

4. y = 8(1) - 5= 8 - 5 = 3

   y = 8(2) - 5 = 16 - 5 = 11

    y = 8(5) - 5 = 40 - 5 = 35

    y = 8(0) - 5 = 0 - 5 = -5

    y = 8(-1) - 5 = -8 - 5 = -13

\(10x + 6 = 8x\)

\(6 = 8x - 10x\)

\(6 = - 2x\)

\(6 \div - 2 = x\)

\( - 3 = x\)

\(y = 8x - 5\)

When \( x = 1, y = \bold{ 3} \)

\(y = (8 \times 1)- 5\)

\(y = 8 - 5\)

\(y = 3\)

When \( x = 2, y = \bold{ 11} \)

\(y = (8 \times 2)- 5\)

\(y = 16 - 5\)

\(y = 11\)

When \( x = 5, y = \bold{35} \)

\(y = (8 \times 5)- 5\)

\(y = 40 - 5\)

\(y = 35\)

When \( x = 0, y = \bold{-5} \)

\(y = (8 \times 0)- 5\)

\(y = 0 - 5\)

\(y = - 5\)

When \( x = -1, y = \bold{-13} \)

\(y = (8 \times - 1)- 5\)

\(y = - 8 - 5\)

\(y = - 13\)

Answer:3216.99088

Step-by-step explanation:V=πr2h=π·82·16≈3216.99088

Answer:

There's no question attached or written out...

Step-by-step explanation:

So yeah....

Answer:

\(4x^4y^2\sqrt[3]{x^2y^2}\)

Step-by-step explanation:

Recall that \(a^{(\frac{b}{c})}=\sqrt[c]{a^b}\).

Therefore, we have:

\((8x^7y^4)^{\frac{2}{3}}=\sqrt[3]{(8x^7y^4)^2}\)

Use the exponent property \((a^b)^c=a^{(b\cdot c)}\) to simplify:

\((8x^7y^4)^{\frac{2}{3}}=\sqrt[3]{(8x^7y^4)^2}=\sqrt[3]{64x^{14}y^8}=\boxed{4x^4y^2\sqrt[3]{x^2y^2}}\)

Answer:

\(y=\frac{ac}{a-b-c}\)

Step-by-step explanation:

\(y(a-b)=c(y+a) \\ \\ y(a-b)=cy+ac \\ \\ y(a-b)-cy=ac \\ \\ y(a-b-c)=ac \\ \\ y=\frac{ac}{a-b-c}\)

Answer:

the first one is a lie

Step-by-step explanation:

caf is more 45 degrees than 25

From the probability, the quantity of various passwords that are conceivable assuming each character might be any lowercase letter or digit is 2,821,109,907,456 passwords

The most effective method to ascertain the probability

The accompanying information can be concluded:

Number of lower case letters = 26

Number of digits = 10

Total Characters = 26 + 10 = 36

Length of secret word = 8

The quantity of various passwords are conceivable assuming each character might be any lowercase letter or digit will be:

= (26+10)⁸ various passwords

= 2,821,109,907,456 passwords

The quantity of various passwords that are conceivable assuming each character might be any lowercase letter or digit, and something like one person should be a digit will be:

= 36⁸ - 26⁸

= 2,612,282,842,880 passwords

Finally, the probability that a substantial secret phrase will be produced will be:

= (36⁸ - 26⁸)/36⁸

= 0.93

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$42 is the amount Zahra will save each year

How to find how much Zahra will save every year?

Given that:

Zahra does 1 load of wash per day

Hot wash & warm rinse = 71 cents per load

Warm wash & cold rinse = 25 cents per load

Right now three-fourths of all her laundry is done with the hotter water

Right now:

cost of hot wash in a year = 0.71 x 3/4 x 365 = $194.3625

cost of warm wash in a year = 0.25 x 1/4 x 365 = $22.8125

Total cost =  $194.3625 + $22.8125 = $217.175

After the cut:

cost of hot wash in a year = 0.71 x 1/2 x 365 = $129.575

cost of warm wash in a year = 0.25 x 1/2 x 365 = $45.625

Total cost =  $129.575 + $45.625 = $175.2

Savings = Total cost of right now - Total cost after the cut

Savings = $217.175 - $175.2 = $41.975 = $42

Note: we have 365 days in a year

Therefore, Zahra will save $42 every year. Option b. is the answer

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Answer:

See below

Step-by-step explanation:

\(\frac{5}{3}v+4+\frac{1}{3}v=8\)

\(2v+4=8\) <-- Resulting equation after first step

\(2v=4\)

\(v=2\) <-- Actual solution

Answer:

75

Step-by-step explanation:

Given That :

Operation cost = $2250 per month

Purchase price per bike = $40

Average selling price per bike = $70

How many bicycles must the store sell each month to break even ;

Break even point = point at which there is net profit / loss = 0

Let number of bicycles store must sell = x

Operation cost + (purchase price * Number of bicycles) = selling price * Number of bicycles

2250 + 40x = 70x

2250 = 70x - 40x

2250 = 30x

x = 2250 / 30

x = 75

To break even 75 bicycles must be sold

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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