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SVEN [57.7K]
3 years ago
13

A worker get paid overtime at the rate of double normal time. For a week he works 40 hours of normal time and 8 hours of overtim

e, he gets paid $840. How much is his wage per hour for normal time?​
Mathematics
2 answers:
Norma-Jean [14]3 years ago
7 0
The answer is $15 per hour
ivolga24 [154]3 years ago
6 0

Answer:

His hourly wage is $17.50

His normal wage would be $700 evenly.

You might be interested in
An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.
MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years,  there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is \frac{21}{3000000}==0.000007.

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by q.

q=7\times 10^{-6}=0.000007.

So, the probability of survive, p=1-q

\Rightarrow p=1-7\times 10^{-6}=0.999993.

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

=\binom(n,r)p^rq^{n-r}

=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}

=(0.999993)^{48}=0.999664 (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total n skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

0.9=\binom {n }{r} p^rq^{n-r}

Here, r=n.

\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}

\Rightarrow 0.9=p^n

\Rightarrow 0.9=(0.999993)^n

\Rightarrow \ln(0.9)=n\ln(0.999993) [ taking \log_e both sides]

\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}

\Rightarrow n=15051.45

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0
3 years ago
Rewrite the function W= 50+2.3(h-60) in order to express height as a function of weight
OLga [1]
You need to solve the equation for h.

<span>W= 50+2.3(h-60)

Distribute the 2.3.

W = 50 + 2.3h - 138

W = 2.3h - 88

Add 88 to both sides.

W + 88 = 2.3h

Switch sides.

2.3h = W + 88

Divide both sides by 2.3.

h = (W + 88)/2.3
</span>
5 0
3 years ago
Suppose that an individual has a body fat percentage of 14.5% and weighs 167 pounds. How many pounds of her weight is made up of
fenix001 [56]
167 divided by 100 = 1.67
1.67 x 14.5= 24.215
answer to nearest tenth = 24.2
3 0
3 years ago
Read 2 more answers
PLEASE HELP NOW!!!<br> QRST is a square. Use the properties of a square to find the value of x.
Annette [7]

Answer:

x = 6

Step-by-step explanation:

QRST is a square.

QR = RS (sides of a square are equal)

7x - 10 = 5x + 2

7x - 5x = 10 + 2

2x = 12

x = 12/2

x = 6

7 0
2 years ago
Alma had four ants in her ant farm. She found three more ants outside and put them in the ant farm. She wanted to know how many
olga2289 [7]

Answer:

42

Step-by-step explanation:

4+3=7 7x6=42

5 0
3 years ago
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