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lozanna [386]
3 years ago
5

Preston bought a drum set priced at 187.90. The sales tax was found by multiplying the price of the drum set by 0.08. What was t

he drum set with the sales tax? Round to the nearest cent.
Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0

Answer:

202.90

Step-by-step explanation:

If 187.90 is the price before the sales tax, you will multiply it by the 0.08 tax which will give you 15.032. You take 15.032 and add it to 187.90 because that is the sales tax. And after you add it and round to the nearest cent you get 202.90

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A plane flew 193 km in 12 minutes. At a constant speed what was the speed of the air plane at km per hour?
Mrac [35]

Answer:

965  km per hour

Step-by-step explanation:

The total distance flown was 193km which was flown at  constant speed and took 12 minutes.  Dividing 193 by 12 gives us the km per minute

 193/12 = 16.0833333

but this isn't the correct answer, this is in km per minute, and the question asked for km per hour.  Since there are 60 minutes in an hour, multiply the answer by 60 to calculate how far the plane flew per hour.

16.083333333(60)  =  965

7 0
3 years ago
Pls answer first one to get it right and show work will get brainliest thanks :3
Setler79 [48]

Answer:

x=−12/5

Step-by-step explanation:

2(1.5x−2)=−0.5(−4x−32)

Step 1: Simplify both sides of the equation.

−2(1.5x−2)=−0.5(−4x−32)

(−2)(1.5x)+(−2)(−2)=(−0.5)(−4x)+(−0.5)(−32)(Distribute)

−3x+4=2x+16

Step 2: Subtract 2x from both sides.

−3x+4−2x=2x+16−2x

−5x+4=16

Step 3: Subtract 4 from both sides.

−5x+4−4=16−4

−5x=12

Step 4: Divide both sides by -5.

−5x−5

=12/−5

x=−12/5

7 0
3 years ago
The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16 centimeters. Find the lateral sur
ad-work [718]

The lateral surface area of the cylinder = 80 sq cm.

Step-by-step explanation:

Given,

The circumference of the base of the cylinder is 16 cm

So, 2 X pi X r = 16 cm ( where r be the radius of the base)

Now, the lateral surface of the cylinder = 2 X pi X r X H ( where H be the height = 5 cm)

= 16 X 5 sq cm

= 80 sq cm

Hope it helps you.

8 0
3 years ago
For which of the following counts would a binomial probability model be reasonable? a. The number of traffic tickets written by
timama [110]

Answer:

c. The number of 7's in a randomly selected set of five random digits from a table of random digits.

True, for this case we have a value fixed for n =5 and the probability is defined for each number 1/10 assuming numbers (0,1,2,3,4,5,6,7,8,9) so then the random variable "The number of 7's in a randomly selected set of five random digits" can be modelled with the binomial probability function.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n, p)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

The conditions to apply this distribution is that we have the parameters fixed n and p.

Let's analyze one by one the possible solutions:

a. The number of traffic tickets written by each police officer in a large city during one month.

False, the number of traffic tickets written by each police is not a fixed amount always, so then the value of n change and we can't apply a binomial model for this case.

b. The number of hearts in a hand of five cards dealt from a standard deck of 52 cards that has been thoroughly shuffled.

False, not all the hands of size 5 are equal and since we can't ensure this condition then the binomial model not apply for this case

c. The number of 7's in a randomly selected set of five random digits from a table of random digits.

True, for this case we have a value fixed for n =5 and the probability is defined for each number 1/10 so then the random variable "The number of 7's in a randomly selected set of five random digits" can be modelled with the binomial probability function.

d. The number of phone calls received in a one-hour period.

False, the number of phone calls change by the hour and is not always fixed so then we don't have a valu for n, and the binomial model not applies for this case.

e. All of the above.

False option C is correct.

5 0
2 years ago
Solve the inequality.
shusha [124]

Answer:

(3/2)x - 2 < 7

(3/2)x < 9

3x < 18

x < 6

answer is b

5 0
3 years ago
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