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Temka [501]
3 years ago
7

A fire department spend $900 to purchase a new helmets and gloves the amount included a 6% sales tax what was the price of the e

quipment to the nearest dollar before tax?
Mathematics
2 answers:
Kisachek [45]3 years ago
7 0

Answer:

$954

Step-by-step explanation:

900 x 0.06=

54+ 900=

954

Scorpion4ik [409]3 years ago
5 0

Answer:

Sales tax is where you multiply the cost and the decimal of the percent(the sales tax). So it would be $900 X 0.06 AKA 6% to get $954 (YOUR ANSWER).


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ABCD is a trapezium AD and BC are parallel
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Part (a)

<h3>Answer:  12.1</h3>

-----------------------

Work Shown:

We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

Focus on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

x*sin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1

Make sure your calculator is in degree mode.

===================================================

Part (b)

<h3>Answer:  15.1</h3>

-----------------------

Work Shown:

Draw an xy coordinate grid.

Place point A at the origin (0,0).

Point B is 10 units above this, so B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.

Refer to the diagram below.

Apply the distance formula for the points C and D.

C = (x_1,y_1) = (18,10)\\\\D = (x_2,y_2) \approx (6.745085,10)\\\\

d = \text{ distance from C to D}\\\\d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d \approx \sqrt{ (18-6.745085)^2+(10-0)^2}\\\\d \approx \sqrt{ 226.673112 }\\\\d \approx 15.055667\\\\d \approx 15.1\\\\

Segment CD is roughly 15.1 cm long.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

4 0
2 years ago
A process that fills packages is stopped whenever a package is detected whose weight falls outside the specification. Assume tha
swat32

Answer:

The mean number of packages that will be filled before the process is stopped is 50.

Step-by-step explanation:

For each package, there are only two possible outcomes. Either it fails outside the specifications, or it does not. Packages are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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This means that p = 0.02

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This is when n = 1, as the process is stopped when a package is outside the specifications. So

E = \frac{n}{p} = \frac{1}{0.02} = 50

The mean number of packages that will be filled before the process is stopped is 50.

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