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3 years ago

What is the total cost of a $53.49 meal at a restaurant after including a 12% tip?

Mathematics

1 answer:

aliya0001 [1]3 years ago

4 0

Answer:

$59.9088 (or approx. $60)

Step-by-step explanation:

0.12 x $53.49

= $6.4188

$6.4188 + $53.49

= $59.9088

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An automobile manufacturer obtains the microprocessors used to regulate fuel consumption in its automobiles from three microelec

Anastaziya [24]

Answer:

The probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

Step-by-step explanation:

Given:

The probability of getting a microprocessor from firm A is, $P(A)=45\%=0.45$

The probability of getting a microprocessor from firm B is, $P(B)=30\%=0.30$

The probability of getting a microprocessor from firm C is, $P(C)=25\%=0.25$

Now, let event D be having a defective microprocessor at random.

So, as per the question,

Probability of producing a defective microprocessor from firm A is, $P(D/A)=6\%=0.06$

Probability of producing a defective microprocessor from firm B is, $P(D/B)=7\%=0.07$

Probability of producing a defective microprocessor from firm C is, $P(D/C)=5.5\%=0.055$

Now, probability of having a defective microprocessor when selected at random is given as:

$P(D)=P(A)\cdot P(D/A)+P(B)\cdot P(D/B)+P(C)\cdot P(D/C)\\P(D)=(0.45\times 0.06)+(0.30\times 0.07)+(0.25\times 0.055)\\P(D)=0.027+0.021+0.01375\\P(D)=0.06175\ or\ P(D)=0.06175\times 100\approx 6.2\%$

Therefore, the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.

5 0

3 years ago

Describe how you would estimate the square root of a number that is not a perfect square without using a calculator.

Mariulka [41]

Round of the number to the nearest whole number then multiply it by itself.

5 0

3 years ago

Solve for p.

Marat540 [252]

Hi there

3(p + q) = q
Solve for P

Use the distributive property
(3)(p) + (3)(q) = q
3p + 3q = q
3p = q-3q
3p = -2q
p = -2q/3

The answer is D

If you have any further questions please let me know :)

8 0

3 years ago

Read 2 more answers

Find the slope for the pair of points (1,1)(4,-4)

wolverine [178]

(1, 1) and (4, -4)

Slope formula is : m = (y₂-y₁) / (x₂-x₁)

In this case :

x₁ = 1 ; x₂ = 4 ; y₁ = 1 ; y₂ = -4

Now that you know what variable counts as what, we simply just need to plug everything in.

m = (-4 - 1) / (4 - 1)

Simplify.

m = -5/3

Therefore, your slope is -5/3

~Hope I helped~ :)

6 0

3 years ago

Sum and difference of 5+2.3

professor190 [17]

Answer:

sum: 7.3 difference:2.7

Step-by-step explanation:

5 0

3 years ago

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