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WITCHER [35]
4 years ago
12

Hector works in a gas station and earns $10.60 per hour. Last week he worked 20 hours. What was his gross pay

Mathematics
1 answer:
Elena-2011 [213]4 years ago
5 0

gross pay is $212 because if he makes $10.60 per hour and he worked 20 hours so you would do $10.60 times 20 which gives you $212

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What is the surface area of the square pyramid?<br> (Figure is not drawn to scale.)
Reil [10]
Area of the base = 8^2 = 64

area of 1 traingle = 1/2 * 8 * 5.4 =  21.6

there are 4 triangular sides  so their area = 4 * 21.6  = 86.4

Total surface area = 64 + 86.4 =  150.4 cm2

D
6 0
3 years ago
at a certain real estate firm, realtor selling house recieve a comission:6% for the first 160,000 of the selling price, and 4% f
Natali [406]
Let the amount be x.

6% for the first 160000

= 6/100 * 160000 = 9600

4% for any amount exceeding 160000.

= 4/100 * (x -160000) = 0.04(x-160000)

The sum of both commission should be equal to 10560.

9600  +    0.04(x -160000)  = 10560

0.04(x -160000)  = 10560 - 9600

0.04(x -160000)  = 960  Divide by 0.04.

(x -160000)  = 960/0.04

(x -160000)  = 24000

x = 24000 + 160000 = 184000.

Selling price  = 184000
8 0
3 years ago
There are 4 cups in a quart and 4 quarts in a gallon how many cups are in a 5 gallon jug of water
wlad13 [49]
In 1 gallon, we have 4 quarts, and we have 4 cups in each quart, giving us 4 x 4 = 16 cups in 1 gallon. Multiply that by 5 to get 16 x 5 = 80 cups in a 5-gallon jug.
7 0
3 years ago
Let X equal the number of hours that a randomly selected person from City A reads the news online each day. Suppose that X has a
Nina [5.8K]

Answer:

P(Y>X) = \frac{17}{32}

Step-by-step explanation:

Recall that since X is uniformly distributed over the set [1,4] we have that the pdf of X is given by f(x) = \frac{1}{3} if 1\leq x \leq 4 and 0 otherwise. In the same manner, the pdf of Y is given by g(y) = \frac{1}{4} if 1\leq y\leq 5 and 0 otherwise.

Note that if Y is in the interval (4,5] then Y>X by default. So, in this case we have that P(Y>X| y in (4,5]) = 1. We want to calculate the probability of having Y in that interval . That is

P(Y>4) = \int_{4}^{5}\frac{1}{4}dy = \frac{1}{4}. Thus, P(Y\leq 4 ) = 1 - P(Y>4)= \frac{3}{4}.

We want to proceed as follows. Using the total probability theorem, given two events A, B we have that

P(A) = P(A|B)\cdot P(B) + P(A|B^c) \cdot P(B^c) In this case, A is the event that Y>X and B is the event that Y is in the interval (4,5].

If we assume that X and Y are independent, then we have that the joint pdf of X,Y is given by h(x,y) = f(x)g(y) = \frac{1}{12} when 1\leq x \leq 4, 1\leq y \leq 4. We can draw the region were Y>X and the function h(x,y) is different from 0. (The drawing is attached). This region is described as follows: 1\leq x \leq 4 and x\leq y \leq 4, then (the specifics of the calculations of the integrals are ommitted)

P(Y>X| y \in [1,4)) = \int_{1}^{4}\int_{x}^{4}\frac{1}{12}dy dx = \frac{1}{12}\int_{1}^{4} (4-x) dx = \frac{1}{12}\left.(4x-\frac{x}{2})\right|_{1}^{4}= \frac{1}{12}(4\cdot 4 - \frac{4^2}{2}-(4-\frac{1}{2}) = \frac{9}{2\cdot 12} = \frac{3}{8}

Thus,

P(Y>X) = 1\cdot \frac{1}{4} + \frac{3}{8}\cdot \frac{3}{4} = \frac{17}{32}

5 0
4 years ago
G(n) = 4n +4<br> h(n) = n +5<br> Find (g- h) (9)
Vinil7 [7]

Answer:

3n-1

Step-by-step explanation:

(4n+4) - (n+5)

i sperate it to be

4n-n and 4-5

so

3n-1 should be it

5 0
3 years ago
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