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makvit [3.9K]
3 years ago
14

Dominic Marzetti is a fish and game warden at Natural Bridge State Park. He works 38 hours per week and earns $20.85 per hour. W

hat is his straight-time pay each week?
Mathematics
1 answer:
Vladimir [108]3 years ago
4 0
Well, if we multiply 20.85(per hour) by 38(the hours he works a week), then you should get 792.30 .
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A laptop has a listed price of $816.98 before tax. If the sales tax rate is 9.75%, find the total cost of the laptop with sales
Art [367]

Answer:

896.64

Step-by-step explanation:

To find the final price of the laptop you take the entire price of the laptop, 1, and add the sales tax amount of .0975 to get 1.0975.  You multiply this amount with the listed price to get the final amount paid, the laptop plus sales tax.  $816.98 x 1.0975 = 896.6356.  This rounds to 896.64

6 0
3 years ago
Read 2 more answers
Compute​ P(x) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate thi
stich3 [128]

Answer:

The answers to the questions are;

A) P(X) where x = 12 is equal to 3.55 ×10⁻²

B) P(x) using the normal distribution is given by the probability distribution function and is equal to 3.453 ×10⁻²

C) The calculated probabilities of P(x=12) using the binomial probability formula and the probability distribution function differ by 9.7×10⁻⁴

D) The normal distribution be used to approximate this probability because     a. because np(1-p) %u2265 ⇒ np(1-p) ≥ 10

E) c. the value of fi represents the expected proportion of observation less than or equal to the ith data value.

Step-by-step explanation:

To solve the question, we note that

n = 58

p = 0.3

x = 12

Here we have n·p = 17.4 and n·q = 40.6 both ≥ 5 that is the normal distribution can be used to estimate the probability

A) We are to use the binomial probability formula to find P(X)

Where x = 12, we have P(12) = ₅₈C₁₂×0.3¹²×0.7⁴⁶

= 891794789340×0.000000531441×7.49×10⁻⁸ = 3.55 ×10⁻²

B) Using the standard distribution table we have

the z score for x = 12 given as z = \frac{x-\mu}{\sigma} = -1.55

From the normal distribution table, we have the probability that value is below 12 = .06057 while the normal probability distribution function which gives the probability of a number being 12 is given by

\frac{1}{\sigma\sqrt{2 \pi } } e^{\frac{-(x-\mu)^2}{2\sigma^2} }

where:

σ = Standard deviation = \sqrt{npq} = \sqrt{np(1-p)} = \sqrt{58*0.3*(1-0.3)} = 3.48999

μ = Sample mean = n·p = 58×0.3 =17.4

Therefore the probability density function is \frac{1}{3.49\sqrt{2 \pi } } e^{\frac{-(12-17.4)^2}{2*3.49^2} } = 3.453*10^{-2}

C)  The probabilities differ by 3.55 ×10⁻² -  3.453 ×10⁻² =  9.7×10⁻⁴

D) The normal distribution be used to approximate this probability because     n·p and n·p·(n-p) ≥ 5

E)   f_i represents the area under the curve towards left of the ith data observed in a normally distributed population.

Therefore, the value of fi represents the expected proportion of observation less than or equal to the ith data value  

5 0
3 years ago
Two hundred teenagers were surveyed to see what kind of background noise they preferred while doing homework. Which table best r
Lelu [443]

Answer:

i need help on that one to lol

Step-by-step explanation:

4 0
3 years ago
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What is the name for fax like those in problem five
77julia77 [94]
To answer you need to show question 5
7 0
3 years ago
Select the correct answer.
vivado [14]

Answer:

B will be the answer...

Step-by-step explanation:

The second equation in system B is only in terms of y, so we need to use elimination to eliminate the x term from the second equation in system A.

To do that, we need to multiply the first equation by 5.

5 (-x − 2y = 7)

-5x − 10y = 35

Add to the second equation.  Notice the x terms cancel out.

(-5x − 10y) + (5x − 6y) = 35 + (-3)

-16y = 32

Combining this new equation with the first equation from system A will get us system B.

-x − 2y = 7

-16y = 32

4 0
2 years ago
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