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skad [1K]
3 years ago
7

If David earns $8/hr. plus 1.5 times his normal rate for any hours over 40, then how many hours of overtime each week does he ne

ed to work on average if he needs to make at least $500 a week over the summer in order to save enough to go to college?
OPTIONS:
15 hr
38 hr
5 hr
55 hr
Mathematics
1 answer:
hodyreva [135]3 years ago
8 0
55 hours 40 hours at $8 an hour equals $320 so then 15 hours which is the rest of the 55 hours at 12 an hour equals $180 and $320+$180=$500
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The Venn diagram shows the results of two events resulting from rolling a number cube.
tankabanditka [31]

Answer:

P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{1}{3}

P(A) =\frac{2}{3}

P(B) =\frac{1}{2}.

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

So

P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

P(A) = \frac{4}{6} = \frac{2}{3}

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

So

P(B) = \frac{3}{6} = \frac{1}{2}.

Now

P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}

P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}

6 0
4 years ago
During a recent snowstorm, Boston got 2.8
ipn [44]

New York got 4.64 times more snow than Boston did.

If Boston got 2.8 feet of snow and New York City got 13 feet, the amount of feet that New York got more than Boston is:

= Amount of snow New York got / Amount of snow Boston got

= 13 / 2.8

= 4.64 more than Boston

New York therefore got about 4.64 more snow than Boston did

<em>Find out more at brainly.com/question/24074411. </em>

6 0
3 years ago
How do you graph y=-1.5<img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20" id="TexFormula1" title=" x^{2} " alt=" x^{2} " align
lorasvet [3.4K]
y=-1.5 x^{2} +6 \\ \\ x=-3 \Rightarrow y=-1.5*(-3)^2+6 =-1.5*9+6=-13.5+6=-7.5\\ \\x=-2 \Rightarrow y=-1.5*(-2)^2+6 =-1.5*4+6=-6+6=0\\ \\x=-1 \Rightarrow y=-1.5*(-1)^2+6 =-1.5*1+6=-1.5+6=-4.5\\ \\x=0 \Rightarrow y=-1.5*0^2+6 =6

x=1 \Rightarrow y=-1.5*(1)^2+6 =-1.5+6=-4.5\\ \\ x= 2 \Rightarrow y=-1.5*2^2+6 =-1.5*4+6=-6+6=0\\ \\x=3 \Rightarrow y=-1.5*3^2+6 =-1.5*9+6=-13.5+6=-7.5


6 0
4 years ago
1. Jennifer earns 25% commission as a salesperson for her company. If she sells $1850 worth of product, how much commission does
elixir [45]

Answer:

$462.50

Step-by-step explanation:

Find 25% of 1850:

1850(0.25)

= 462.5

So, she earns $462.50 in commission

7 0
3 years ago
What is the equation of circle C???
BigorU [14]

Answer:

(x-5)²+(y-7)²=80

Step-by-step explanation:

3 0
3 years ago
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