Rosie works as a riveter and earns $20.50 per hour for a base 40-hour week. If she works overtime, she earns time-and-a-half, that is, 1.5 times her base rate of pay up to 10 more hours of overtime, and then double-time, that is, twice her base rate beyond that. One particularly busy season, Rosie worked 53 hours per week for 10 weeks. What did Rosie earn that season? (Do NOT include punctuation in your answer.)

the probability that there is at most one purple marble when three marbles are randomly chosen from the bag is approximately 0.770.

To find the probability that there is at most one purple marble when three marbles are randomly chosen from the bag, we need to consider the different scenarios:

Scenario 1: No purple marbles are chosen

In this case, we can choose 3 marbles from the remaining yellow, green, and red marbles. The number of ways to choose 3 marbles from a set of 22 marbles (8 yellow + 9 green + 5 red) is given by the combination formula: C(22, 3).

Scenario 2: One purple marble is chosen

In this case, we need to choose 2 marbles from the remaining yellow, green, and red marbles, and 1 marble from the 3 purple marbles. The number of ways to choose 2 marbles from 22 marbles and 1 marble from 3 marbles is given by the combination formula: C(22, 2) * C(3, 1).

The total number of ways to choose 3 marbles from the 25 marbles in the bag (8 yellow + 9 green + 3 purple + 5 red) is given by: C(25, 3).

To find the probability, we sum the probabilities of both scenarios and divide by the total number of ways to choose 3 marbles:

Probability = (Number of ways for scenario 1 + Number of ways for scenario 2) / Total number of ways

Probability = (C(22, 3) + (C(22, 2) * C(3, 1))) / C(25, 3)

Using a calculator or computer program to calculate the combinations, we can find:

Probability ≈ 0.770

Therefore, the probability that there is at most one purple marble when three marbles are randomly chosen from the bag is approximately 0.770.

The correct answer is 0.770, corresponding to option 0.770.

learn more about Probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

The number 280 equals 80% of the number 350.

The percentage is represented by %. It is the given definition for a fraction whose denominator is equal to 100.  See the following example:

50%=50/100 * 100 = 0.5* 100

The percentage is considered a math tool with several applications and areas, for example: medicine, engineering, investments, supermarkets, drugstores,banks etc.

The question asks the representation of the number 280 in relation to the number 350 in percentage. Thus, you should do:

280/350 *100 = 4/5*100=0.8*100=80%

Therefore, the percentage of 350 in relation to the value 280 is 80%

Read more about the percentage here:

brainly.com/question/24304697

#SPJ1

each matrix may be extended by the identity matrices to convert all entries to integers.
allow A' = A + 2I = [3 0 0; 0 2 1]
B' = B + I = [1 1 0; 0 1 1]

A' and B' are actually integer matrices, although they still have the same null area and column area as A and B. As a end result, A = [3 0 0; 0 2 1]
B = [1 1 0; 0 1 1]

these matrices share the same null space and column area and are not multiples of each other.
The elements of a matrices are generally denoted via a image, inclusive of a, b, c, etc., and are organized in a specific order. Matrices are used in many regions of arithmetic, including linear algebra, calculus, and geometry.

Matrices are represented by enclosing the elements in brackets or parentheses. as an example, a 2x3 matrix A can be represented as:
A = [ a11, a12, a13 ]
[ a21, a22, a23 ]

To know more about matrices click here
brainly.com/question/30841639
#SPJ4

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Learn more about hypothesis on:

brainly.com/question/15980493

#SPJ12

The number of llamas in the petting zoo has 13, and the number of kangaroos is 34.

Let the number of llamas in the petting zoo be x, and the number of kangaroos in the petting zoo be y.

Thus, we can write two equations from the given conditions:

Equation 1: x + y = 47

Equation 2: 4x + 2y = 120

(since each llama has 4 legs and each kangaroo has 2 legs)

Simplifying equation 2:2x + y = 60

Now we have two equations with two unknowns.

To solve them, we can either use substitution or elimination.

Using substitution, we can solve equation 1 for y in terms of x:y = 47 - x

Now we substitute this expression for y in equation 2:2x + (47 - x) = 60

Simplifying: x + 47 = 60x = 13

Now we can use either equation 1 or 2 to find y:x + y = 47y = 47 - xy = 47 - 13y = 34

Therefore, the petting zoo has 13 llamas and 34 kangaroos.

To know more about similar question visit:

https://brainly.com/question/16625661

#SPJ11

Answer:

204

Step-by-step explanation:

4(3x+6)

Substitute the x with 15

4(3*15+6)

4( 45 + 6)

Distributive property

4*45 + 4*6

180 + 24

204

Hey there!

The answer to your question is \(204\)

To evaluate this, we simply start by plugging the given x value, 15, into the expression, and then solve:

\(4[3(15) + 6]\)      Plug in X

\(4(45 + 6)\)          Multiply

\(180 + 24\)           Distribute the 4

\(204\)                   Add

Hope it helps and have a great day!

The number of hot cocoas the Ai Mi would be expected to sell with a high temperature of 64 ºF is given as follows:

60.

As the graph of the linear function is given, the most practical way to define the function is using the slope-intercept format, as follows:

y = mx + b.

In which the coefficients are given as follows:

From the graph, when x = 0, y = 111, hence the intercept b is given as follows:

b = 111.

When x increases by 5, from 0 to 5, y decays by four, from 111 to 107, hence the slope m is obtained as follows:

m = -4/5

m = -0.8.

Hence the function that predicts the amount of hot cocoa sold for a high temperature of x ºF is given as follows:

y = -0.8x + 111.

The prediction for a high temperature of x = 64 is given as follows:

y = -0.8(64) + 111

y = 60 hot cocoas, rounded.

The graph is given by the image presented at the end of the answer.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The required volume of the rectangular prism is 765792 cubic centimeters. None of the options are correct.

To find the volume of a rectangular prism, you can use the formula:

Volume = length (l) * width (w) * height (h)

Given:

l = 412 cm

w = 312 cm

h = 6 cm

Volume = 412 cm * 312 cm * 6 cm
Volume = 128544 * 6 cubic centimeters
Volume = 771264 cubic centimeters

Thus, the volume of the given rectangular prism is 771264 cubic centimeters.

Learn more about volume here:

https://brainly.com/question/31621849

#SPJ12

The equation of the transformation is y = ∛(x - 7) + 5

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

"The cubic function shifts 7 units right and 5 units up."

The representation of a cubic function is:

y = ∛x

And, the transformations are given as

These transformations can be represented as

(x, y) = (x - 7, y + 5)

So, we have the following equation

y = ∛(x - 7) + 5

Hence, the function after the transformation has an equation of y = ∛(x - 7) + 5

Read more about transformation at

https://brainly.com/question/4280198

#SPJ1

The method used to assign probabilities when the results of experimentation or historical data are used to assign probability values is referred to as the relative frequency method.

The relative frequency method is a way to assign probability values to events based on how often they have occurred in the past.

The probability of an event is determined by counting the number of times the event has occurred in a given set of observations, and dividing that number by the total number of observations. For example, if a certain event has occurred 20 times out of 100 total observations, the probability of that event would be 0.2 (20/100). This method is based on the idea that the probability of an event is related to its frequency of occurrence in a large number of trials.

Learn more about relative frequency method here: https://brainly.com/question/5054850

#SPJ4

Answer:

Step-by-step explanation:

First, we need to look at the simpler equation. We see that the top equation is the simpler one.

y=-2x + 6

Now we plug that equation with the other one.

6x + 3(-2x + 6) = 18

6x -6x + 18 = 18

18 = 18

Since we see that 18 = 18. We know that this equation is a true equation. We can plug the y-variable in first and it will still be a true statement.

. Write the equation for the line: (Hint: there are two points given to you!)

________________________

y= mx + b

the slope is m

or

(y - y1) = m (x - x1)

___________________

points (x,y)

point 1 (4, 4) x1 = 4; y1 = 4

point 2 (3 , -1) x2= 3; y2 = -1

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

m=(-1 - 4 )/( 3 - 4)

m= -5/-1 = 5

(In this case, you choose which point you want to put as point one and point two, you will always get the same answer)

____________________

(y - 4) = 5 (x - 4)

y= 5x -20 +4

y= 5x - 16

The equation for the line is y= 5x - 16

__________________

Do you have any questions regarding the solution?

Answer:

Step-by-step explanation:

Step one:

given data

initial count of fish= 850

final count of fish= 500

Required

% decrease

Step two:

% decrease= final-initial/initial*100

substitute

% decrease= 850-500/850*100

% decrease=350/850*100

% decrease= 0.41*100

% decrease= 40.1%

The percent decrease is approximately 40%.

Answer:

The percent decrease is approximately 70%

2400+60n= store's operating costs

120n=store's profits

120n=2400+60n is the break-even point

60n=2400

n=40 bikes need to be sold monthly to break even.

Answer:

\(\Huge \boxed{\mathrm{52\°}}\)

Step-by-step explanation:

Complementary angles add up to 90 degrees.

There are two angles in this case.

Let the first angle be x.

Let the second angle be x+14.

The sum of these two angles is 90.

x + x + 14 = 90

Combine like terms.

2x + 14 = 90

Subtract 14 from both sides.

2x = 76

Divide both sides by 2.

x = 38

Let x = 38 for the second angle.

38 + 14 = 52

The two angles are 52 degrees and 38 degrees.

52 degrees is 14 degrees more than complementary angle.

Answer:

\(\huge\boxed{ Angle = 52\ degrees}\)

Step-by-step explanation:

Complementary angles add up to 90 degrees

So, Let the first angle be x then the second angle will be x + 14

Given condition is:

x + x + 14 = 90

2x + 14 = 90

Subtracting 14 to both sides

2x = 90 - 14

2x = 76

Dividing both sides by 2

x = 38

So, the second angle that is 14 degrees more than 38

=> Second Angle = 38 + 14

=> Second Angle = 52 degrees

Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

Read more on car loan here:

https://brainly.com/question/25696681

#SPJ4

The function that models each variation is : \(z = \frac{5 x}{y}\)

value of z = 20/9

The inverse variation property states that , whenever the product of values of two quantities is a constant value then there is opposite variation between them . Or we can also say that if the productive nature of two corresponding values is constant, then one quantity is inversely varies with second quantity. whereas, The direct variation state that the both values will show same pattern i.e. if one value will increase then another will also increase with the same amount or if one decrease another will also decrease.

In the question given,

First of all find the value of K in the model by putting in the values of x, y, and z so that to find the function model.

z = k (x) / (y)

put value of x=6, y=2 and z=15

15 = k (6) /2

k= 5

Thus we can write the equation as,

z=5x / y

put x=4, y=9

z = 20 / 9

Thus, z = 20/9

To know more about variation , visit :

brainly.com/question/14632732

#SPJ4

The number line that satisfies the inequality is 4,5,6,7,........∞

i.e

4_5_6_7_8_9_10_11_12_13_14__________∞

Given,

3(8-4x)<6(x-5)

We need to find a number line that represents the solution set to this inequality.

Find the value of x which satisfy the inequality.

x= -1

3(8-(-4) < 6(-1 - 5)

3(8+4) < 6(-6)

36 < -36

Not true.

x = 0,

3(8-4x)<6(x-5)

3(8 - 4x0) < 6(0 - 5)

3(8 - 0 ) < 6 (-5)

24 < -30

Not true.

x = 1

3(8-4) < 6(1-5)

3x4 < 6x-4

12 < -24

Not true.

x=2

3(8-8) < 6(2-5)

0 < 6x-3

0 < -18

Not true.

x=3

3(8-12) < 6(3-5)

3x-4 < 6x-2

-12 < -12

Not true.

x=4

3(8-16) < 6(4-5)

3x-8 < 6x-1

-24 < -6

True.

x=5

3(8-20) < 6(5-5)

3x-12 < 0

-36 < 0

True

x=6

3(8-24) < 6x1

3x-16 < 6

-48 < 6

True.

x = 7,8,9,10,,,,,, will be true.

And x = -1,-2,-3,-4,,,,,,,, will not be true.

Thus the number line that satisfies the inequality is 4,5,6,7,.........∞

4_5_6_7_8_9_10_11_12_13_14__________∞

Learn more about inequality here:

https://brainly.com/question/13260153

#SPJ1

To dilate a circle by a determined scale factor k you have to work on the standard equation of the circle

You have to multiply the radius by the squared scale factor:

So, if do example you want to dilate a circle by a scale factor 3, you have to multiply the radius by the square of 3

The formula of the circle dilated by k=3 is

Using the binomial distribution, considering that he scores between 13 and 15 points in 60% of his games, he is expected to score 13-15 points in 9 games out of the remaining 15.

For each game, there are only two possible outcomes, either he scores between 13 and 15 points or he does not. His score on a single game is independent of any other game, hence the binomial distribution is used to solve this question.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

\(E(X) = np\)

In this problem:

Then:

E(X) = np = 15 x 0.6 = 9.

He is expected to score 13-15 points in 9 games out of the remaining 15.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

-3

Step-by-step explanation:

when you look at it go to where x is -2 then go down to where the blue line goes on the point

Answer:

acute and equilateral

Step-by-step explanation:

because all the angles are given equal

Answer:

Acute and equilateral

Step-by-step explanation:

All angles in this triangle are less than 30 degrees and all sides are equal

Answer:

The slope of given equation in standard form

                \(m = \frac{-7}{9}\)

Step-by-step explanation:

Explanation:-

Given equation of the line 7x + 9y = 14

The given equation in slope-intercept form, y = mx + b

Slope - intercept form   \(y = \frac{-7}{9} x + \frac{14}{9}\)

Comparing  m = - 7/9

Here m = -7/9

        C = 14/9

The slope of given equation in standard form

                \(m = \frac{-7}{9}\)

Answer:

12xto the 3 + 27x squared

9514 1404 393

Answer:

  (-3, 3)

Step-by-step explanation:

The midpoint of a line segment is the average of the end point coordinates:

  ((1, 1) +(-7, 5))/2 = (1 -7, 1 +5)/2 = (-6, 6)/2 = (-3, 3) . . . midpoint coordinates

Answer:

D

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Coefficient is the number attached to a variable .

Pls mrk me brainliest i need to get the next rank

Answer:

1 and 5

Step-by-step explanation: