Lynda regularly works a 40-hour work week and earns $16.00 per hour.
She receives time-and-a-half pay for each hour of overtime she works.
Last week she worked 43 hours.

a. What is her regular gross pay?

b. What is her hourly overtime rate?

c. What was her overtime pay?

d. What was her total pay for the week?

Step-by-step explanation:

Lowest common multiple (LCM) of 4 and 3 = 12.

Therefore 3/4 + 2/3

= 9/12 + 8/12

= 17/12 or 1 5/12.

Answer:

1 5/12

Step-by-step explanation:

To do this, we need to find the LCM of 4 and 3. The LCM of 4 and 3 is 12. Now, since 4x3 is 12, we multiply 3/4 by 3/3 to get 9/12. Now, we multiply 2/3 by 4/4 (since 3x4 is 12) to get 8/12. Now, we add only the top numbers to get 17/12. To simplify this, we divide 17 by 12 (check attached screenshot). The quotient (the answer) becomes the whole number, the divisor (12) becomes the denominator, and the remainder (5) becomes the numerator. This gets us 1 5/12.

Answer:

4 9 14 19 24 29

Step-by-step explanation:

Answer:

The numbers she wrote on the first six chair's were 9,14,19,24,29,34

Step-by-step explanation:

If your first chair is 4 you would want to add 4 and 5 to get 9 and add 5 to 9 to get every sum you get until you get the first six chairs

By using the formula of acceleration, it can be calculated that

Time taken by an earthworm  to accelerate from a speed of 0.01 m/s to 0.02 m/s over a distance of 0.9 m is 59.88 s

What is acceleration?

At first, it is important to know about velocity

Distance travelled by a body per unit interval of time in a particular direction is called Velocity

The rate of change of velocity is called acceleration.

Acceleration is a vector quantity as the direction is taken into account.

Initial velocity of earthworm (u)= 0.01 m/s

Final velocity of earthworm (v) = 0.02 m/s

Distance (s) = 0.9 m

We know,

\(v^2 = u^2 + 2as\\0.02^2 = 0.01^2 + 2 \times a \times 0.9\\0.02^2 - 0.01^2 = 1.8a\\(0.02 + 0.01)(0.02 - 0.01) = 1.8a\\a = \frac{0.03 \times 0.01}{1.8}\\a = 0.000167 \ ms^{-2}\)

Again,

v = u + at

0.02 = 0.01 + 0.000167\(\times\) t

t = \(\frac{0.02 - 0.01}{0.000167}\)

t = 59.88 s

Time taken by an earthworm  to accelerate from a speed of 0.01 m/s to 0.02 m/s over a distance of 0.9 m is 59.88 s

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The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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Answer:

Minimum--> 250

Q1--> 255

Q2--> (Median): 307

Q3--> 433

Maximum-->507

Step-by-step explanation:

To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.

First, we need to sort the data set in ascending order:

{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }

Minimum: 250

Maximum: 507

To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.

Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.

Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.

Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.

The equation of the line passing from found as y = 5.

The formula for finding the slope is;

m = Δy/Δx

Where, m is the slope

The given equation of line is;

x = 3 comparing it with standard form of equation;

y = mx + c

As, the equation is a straight line passing parallel to x axis, the slop of line x = 3 is ∞.

Thus, m₁ =  ∞.

Now, let the slops of the line passing from (-2, 5) is m₂,

The, as both line are perpendicular.

Thus,

m₁ x m₂ = -1

m₂ = -1/∞

m₂ = 0

The equation of line is found by

y - y₁ = m₂(x - x₁)

Put the values;

y - 5 = 0(x + 2)

y = 5

Therefore,the equation of the line passing from found as y = 5.

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Complete Question

The complete question is shown on the first uploaded image  

Answer:

The point of diminishing returns (x , y ) is  (11, 21462)

Step-by-step explanation:

From the question we are told that

     The function is  \(R(x) = 10,000 -x^3 - 33x^2 + 800x , \ \ 0 \le x \le 20\)

Here R(x)  represents revenue (in thousands of​ dollars) and  x  represents the amount spent on advertising​ (in thousands of​ dollars).

           Now  differentiating  R(x) we have  

               \(R'(x) = -3x^2 +66x + 800\)

Finding the second derivative of R(x)

              \(R''(x) = -6x +66\)

at  inflection point    \(R''(x) = 0\)

    So      \(-6x +66 = 0\)

=>           \(x= 11\)

    substituting value of x into R(x)

     \(R(x) = 10,000 -(11)^3 - 33(11)^2 + 800(11) ,\)

      \(R(x) = 21462\)

Now the point of diminishing returns (x , y ) i.e (x , R(x) ) is

     (11, 21462)

Answer:

He paid $1343

Step-by-step explanation:

\(\frac{x}{1580} =\frac{15}{100}\)

Cross multiply

\(x100=23700\)

Divide 100 from both sides

\(x=237\)

1580 - 237 = 1343

Hope this is helpful

Answer:

He paid $1343

Step-by-step explanation:

Thanks for the pts

✌️❤️✌️

Answer:

Yes

Step-by-step explanation:

What is 15 percent of 45? = 6.75.

Option (b) is the correct answer: Perpendicular segments.

Perpendicular rays, perpendicular segments, perpendicular lines, and parallel lines are important concepts in geometry that describe the relationship between lines and line segments.

1. Perpendicular Rays: Perpendicular rays are two rays that intersect at point and form a right angle (90 degrees) at the point of intersection. The rays extend indefinitely in opposite directions from the point of intersection.

2. Perpendicular Segments: Perpendicular segments are line segments that intersect at a right angle. They share a common endpoint but do not extend indefinitely like rays. The right angle is formed at the point of intersection.

3. Perpendicular Lines: Perpendicular lines are lines that intersect at a right angle. They continue indefinitely in opposite directions and form four right angles at the point of intersection. Perpendicular lines are often denoted by a symbol ⊥.

4. Parallel Lines: Parallel lines are lines that never intersect. They remain equidistant from each other at all points. Parallel lines have the same slope and do not converge or diverge. In Euclidean geometry, parallel lines are denoted by a double vertical line symbol (||).

Understanding these concepts is fundamental in geometry as they help define angles, shapes, and spatial relationships. The properties of perpendicular and parallel lines play a crucial role in various geometric theorems and applications.

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Answer:

Step-by-step explanation:

15% of 400

15/100*400

15*400/100

6000/100

60

therefore ur answer is 60

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( \frac{15}{100} \times 400 \\ =15 \times 4 \\ = 60 \)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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Step-by-step explanation:

So we are given that the number we are looking for is \(c\). The problem says, "five more than a number". So, \(c+5\). 'Is' typically means equals.

\(c+5=-9\)

Then we can solve for \(c\).

\(c+5=-9\\c=-14\)

Hope this helps!

Answer:

If a runner jogs at a constant speed v, then the distance d he covers in time t can be given by the equation:

d(t) = v * t

Here, v is the speed of the runner in units of distance per unit time.

Hope this helps!

Answer:

I think its C

Step-by-step explanation:

Answer:

33084

Step-by-step explanation:

22056 divided by 2 =11028

altogether (on sunday and monday) the total amount would be..

22056+11028=33084

Answer:

33084

Step-by-step explanation:

If 22056 people came to the game on Sunday and Half as many people came on Monday, you do

22056 divided by 2. this is how many people cam on monday

Add this answer to 22056 and this is how many people came on both days.

Answer:

-8.66666666666666666666666666666666666

-9

Step-by-step explanation:

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

Not a right angle triangle

A right angle triangle

Not a right angle triangle

Not a right angle triangle

Step-by-step explanation:

We have to verify using Pythagorean triplets

18,24,30   is  right triangle

9,40,41   is    right triangle

22,29,36   is  NOT right triangle

5,13,14    is   right triangle

We are given the following data set:

10, 12,20, 15,17,10, 28,35, 28, 19,27, 25,22, 33, 37,14,21,20

Standard deviation = 8.043

Confidence level = 1 - Significance Level = 1 - 99.74% = 4.56% = 0.0456

To calculate the molarity of Pb(NO3)2(aq), you need to know the molar mass of the compound. The molar mass of Pb(NO3)2 is 331.21 g/mol.

Using the equation, concentration = moles/liters, we can calculate the molarity of the Pb(NO3)2(aq) solution.

First, we need to calculate the moles of Pb(NO3)2. We can do this by converting the mass of the precipitate (19.40 g) to moles. Moles = mass (g) / molar mass (g/mol).

Therefore, moles of PbCl2 = 19.40 g / 331.21 g/mol = 0.05833 moles.

Next, we can calculate the molarity of Pb(NO3)2. Molarity = moles/liters.

Therefore, the molarity of Pb(NO3)2 = 0.05833 moles/ 0.2 liters = 0.29165 M.

The probability that the next chew Penelope removes from the bag will be apple or lime as a percent is 60.6%.

Here, Number of apple and lime is 9 + 11 =20

Total bag contains = 13 + 9 + 11 = 33

Probability = Number of apple or line / Total

                   = 20 / 33

                   = 60.6 %

Thus, The probability that the next chew Penelope removes from the bag will be apple or lime as a percent is 60.6%.

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Answer:

y=-1x+3

Step-by-step explanation:

Answer:

5/6 or 0.83 (the 3 is repeated)

Step-by-step explanation:

To reduce this fraction, simply divide the numerator and denominator by 2 (the GCF). So, 1012 = 10÷212÷2 = 5/6. Thus, 1012 is equivalent to 5/6 in the reduced form.

Answer: x = 9

Step-by-Step Solution:

Hypotenuse = 15 units

Base = 12 units

Altitude = x units

Using Pythagoras Theorem,

=> Hypotenuse^2 = Base^2 + Altitude^2

(15)^2 = (12)^2 + x^2

225 = 144 + x^2

225 - 144 = x^2

81 = x^2

x^2 = 81

x = √81

=> x = 9

Therefore, Altitude = 9 units

a. distribution of X is  (257,45)

b. Probability that a randomly hit fly ball travels less than 284 feet is 0.2257

c. The 70th percentile for the distribution of distance of fly balls is 290 feet.

What do you mean by normal distribution?

In statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable.

It is given that we have a normal distribution with mean of 257 feet and standard deviation of 45 feet.

X be the distance in feet for a fly ball.

a. As mean of the normal distribution is 257 and standard deviation is 45 feet

Therefore, distribution of X is (257,45)

b. Probability that a randomly hit fly ball travels less than 284 feet,

P(X < 284) =

The z-score can be calculated as

z = (x - μ)/σ = (284-257)/45 = 27/45 = 0.6

So, the equivalent z-score form can be given as:

P(X < 284) = P(Z < 0.6) = 0.2257

c. The 70th percentile of the distribution of fly balls is given by a raw score such that:

P(X < x)=70%⇒ x = ?

Using formula , z = (x - μ)/σ  ⇒ x = zσ + μ

P(Z < z) = 0.7000

Now, we can use the cumulative standard normal distribution table:

z = 0.7000 + 0.04  = 0.74

Finally, the required random variable can be computed as:

x = zσ + μ  = 0.74 × 45 + 257 = 33.3 + 257 = 290.3

That means P(X < 290.3) feet =70%

Therefore, the 70th percentile of the distribution of fly balls is approximately 290 feet

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.

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

Answer:

63 / 9 = 7 groups

(40)(7) = 280 tickets

Step-by-step explanation:

Step-by-step explanation:

There is a total of 63 students divided into into 9 groups which means there are 7 students in each of the 9 groups.

(63÷ 9) = 7

9 Groups w/ 7 in each

=  7 x 40 = 280

Answer:

i think its -tan(-0) I'm not sure sorry if you get it wrong

Answer:

Step-by-step explanation:

72ft square 2

if that helps if not sorry !