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Dmitrij [34]
3 years ago
7

Rebecca’s boss pays her time and a half for overtime work. If her regular wage is $13.50 per hour, what is her overtime rate?

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Answer: 20.25

Step-by-step explanation: Rebecca can expect to be making her regular 13.50 an hour, however once time and a half hits she’s looking at taking her 13.50 and dividing it by 2. So 13.50 divided by two is 6.75. You then take that 6.75 and add it on top of her regular 13.50 hourly. Putting you at 20.25 for time and a half.

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Calculate the approximate probability that at least 2 children have been diagnosed with ASD among the 200 selected children.
mixas84 [53]

Answer:

The approximate probability that at least 2 children have been diagnosed with ASD among the 200 selected children is

0.01 or 1%.

Step-by-step explanation:

Number of selected children = 200

The probability of no child been diagnosed with ASD = P(None) = 198/200 = 0.99

Therefore, the probability of at least two children been diagnosed with ASD = 1 - 0.99 = 0.01.

This is the same as:

If 2 children have been diagnosed with ASD,

therefore, the approximate probability that at least 2 children have been diagnosed is:

2/200 = 0.01.  This value is equal to 1%.

The above are summed up in:

The probability of at least one = 1/200 = 0.05

Therefore, the probability of at least two = 0.05 * 2 = 0.01

b) Generally, to find the probability of at least one event happening, we calculate the probability of none and then subtract that result from 1. That is, P(at least one) = 1 – P(none).  For two events happening, the sum of the probability of at least one in two places is deducted from 1 to get the probability of at least two.

4 0
2 years ago
The answer and how to do it.
Kruka [31]

let x = orginal price of the shorts

$21 = x(100%-20%) * 1.05

$21 = x(80%) * 1.05

$21 = 0.8x * 1.05

Subtract 1.05 from both sides

$19.95 = 0.8x

Divide 0.8 from both sides

$24.9375 = x

So the orginal price of the shorts are about $24.94

4 0
3 years ago
Katya treated everyone in theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before
sweet-ann [11.9K]

let the price of pizza and soda( per 2 litre bottle) be x and y

from 1st condition

12x+2y=137.6.....(1)

from 2nd condition

x+y =11.95.......(2)

multiply eq. (2) by 2

2x+2y=23.9.....(3)

subtracting (1) and (3)

12x+2y=137.6

2x+2y= 23.9

10x = 113.7

x=113.7/10

x=11.37

2(11.37)+2y=23.9

22.74+2y=23.9

2y=23.9-22.7

2y=1.2

y=0.6

So the prices of  the pizza and soda are 11.37 and 0.6 dollars.

4 0
2 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Identify the domain for each of the given
avanturin [10]

Step-by-step explanation:

First, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

Then, with the variables defined, we have:

68594 vinyl records were sold in 1958 ---------> f (8) = 68594

91299 vinyl records were sold in 1961 ---------> f (11) = 91299

38720 vinyl records were sold in 1952 ---------> f (2) = 38720

161743 vinyl records were sold in 1967 ---------> f (17) = 161743

4 0
3 years ago
Read 2 more answers
Identify the axis of symmetry and vertex of f(x) = –2x2 –2x–1.
Leya [2.2K]

<span>Given the quadratic equation: f(x) = -2x^2 - 2x - 1, the axis of symmetry can be obtained by finding the line that divides the function into two congruent or identical halves. Thus, it should pass through the vertex and is equal to the x-coordinate of the vertex. </span>

<span>Note that a quadratic equation in standard form: y = ax^2 + bx + c, has the vertex located at (h,k) where, h = -b/2a and k is determined by evaluating y at h. In this case, a = -2, b = -2, thus, h = -0.5, k = 0.5. Thus, the vertex is located at (-0.5, 0.5) and the axis of symmetry is at x = -0.5. </span>

4 0
3 years ago
Read 2 more answers
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