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Nezavi [6.7K]
3 years ago
10

Gerry earns 1.5 times her normal hourly rate for each hour she works after 40 hours in a week she worked 51 hours this week and

earned $734.50. What is her normal hourly rate?
Mathematics
1 answer:
Andre45 [30]3 years ago
7 0
Her normal hourly rate is $13 an hour, her overtime is $19.50
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<img src="https://tex.z-dn.net/?f=%28%20%7B5%7D%5E%7B3%7D%20%29%20%7B%7D%5E%7B5%7D%20" id="TexFormula1" title="( {5}^{3} ) {}^{5
WINSTONCH [101]

Step-by-step explanation:

({ {a}^{m}) }^{n}  =  {a}^{mn}

({ {5}^{3}) }^{5}

{5}^{5 \times 3}

{5}^{15}

Option A

4 0
3 years ago
Read 2 more answers
24. The original price of a DVD is $9. The sale price is 20% off
olasank [31]

20/100 = 0.20

0.20 * 9 = 1.8

9 - 1.8 = 7.2

The sale price of the DVD is $7.20.

7 0
4 years ago
Read 2 more answers
 A Finance professor created a multiple-choice examination with 100 questions for his students. Each question has five possible
seropon [69]

Answer:

a. 0.011 or 1.1%

b. 31.56% or 0.3156

c. 99.94% or 0.9994

d. 3.42% or 0.0342

Step-by-step explanation:

Given

Number of multiple choice questions = 100

Probability of success for students who have attended lectures and done their homework = 0.85

a. Using binomial distribution

Probability of correctly answering 90 or more questions out of 100

= \sum^{100}_{x=90}\left {100} \atop {x}} \right C (0.85)^x(0.15)^{100-x}\\=0.011

Since,

In Binomial Distribution

P(X=x) =\left {h} \atop {x}} \right.C  P^x q^{n-x}

where x=0,1,...,n

and q=1-P

Probability is therefore 1.1% or 0.011

b. Probability of correctly answering 77 to 83 questions out of 100

= \sum^{83}_{x=77}\left {100} \atop {x}} \right C (0.85)^x(0.15)^{100-x}\\=0.3156

The probability is therefore 31.56% or 0.3156

c. Probability of correctly answering more than 73 questions out of 100

= \sum^{100}_{x=73}\left {100} \atop {73}} \right C (0.85)^x(0.15)^{100-x}\\=0.9994

The probability is therefore 99.94% or 0.9994

d. Assuming that the student has answered randomly

Probability of success = 1/5 = 0.2

Probability of failure = 1 - 0.2 = 0.8

Probability of answering 28 or more questions correctly

= \sum^{100}_{x=28}\left {100} \atop {x}} \right.c  (0.2)^x(0.8)^{100-x}\\=0.0342

The probability is therefore 3.42%

5 0
3 years ago
In a bag of 100 marbles comprised of many colors, 25 are blue. suppose marbles are selected at random.
satela [25.4K]

Solution: The number of ways we can arrange 3 blue marbles if a set of 5 marbles is selected is:

\binom{5}{3}=\frac{5!}{(5-3)!3!}

                          =\frac{120}{2 \times 6}

                          =\frac{120}{12}=10

Therefore, there are 10 ways we could arrange 3 blue marbles.

3 0
3 years ago
Rewrite the expression in the form a^n (a^2/3)^-1
Zina [86]

Answer:

a(2+3) i thinkk :((

Step-by-step explanation:

3 0
3 years ago
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