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fredd [130]
3 years ago
9

Beth is buying a new washing machine that

Mathematics
1 answer:
Mazyrski [523]3 years ago
7 0

Beth will pay $ 405.45 for washing machine

<em><u>Solution:</u></em>

Given that, Beth is buying a new washing machine that  costs $450

Cost price = $ 450

She has a 15% off coupon

So, she has a discount of 15 % of 450

<em><u>Let us find the discount rate</u></em>

Discount rate = 15 % of 450

Discount\ rate = 15 \% \times 450\\\\Discount\ rate = \frac{15}{100} \times 450 = 0.15 \times 450 = 67.5

Thus discount rate is $ 67.5

<em><u>Therefore, sales price is given as:</u></em>

sales price = cost price - discount rate

sales price = 450 - 67.5 = 382.5

Thus she pays $ 382.5

Now she must pay 6 % sales tax

Let us find the sales tax rate

Sales tax rate = 6 % of 382.5

sales\ tax\ rate = 6 \% \times 382.5\\\\sales\ tax\ rate = \frac{6}{100} \times 382.5 = 0.06 \times 382.5 = 22.95

Thus sales tax rate = $ 22.95

<em><u>How much will Beth pay  for the washing machine?</u></em>

Total amount paid by Beth = sales price + sales tax rate

Total amount paid by Beth = 382.5 + 22.95 = 405.45

Thus Beth will pay $ 405.45 for washing machine

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3 7/12

Step-by-step explanation:

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2 years ago
What statement regarding the diagram is true?
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I believe the second one right, because if I remember two opposite angles of an outside angle = the outside angle.
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Instructions: Match each equations with correct type of event.
Mazyrski [523]

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

  • P(A)P(B|A) - Dependent event
  • P(A)+P(B) - Mutually exclusive events
  • P(A and B)/P(A) - Conditional events
  • P(A) . P(B) - Independent Events
  • P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}

Hence the correct match are -

  • \mathrm{P(A)P(B|A)\rightarrow} Dependent event
  • \mathrm{P(A)+P(B)}\rightarrow Mutually exclusive events
  • \mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow} Conditional events
  • \mathrm{P(A) . P(B)\rightarrow} Independent Events
  • \mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow} not Mutually exclusive events.

Learn more about Probability of Events here -

brainly.com/question/79654680

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1 year ago
What value of x is in the solution set of 3(x – 4) &gt; 5x + 2?
bonufazy [111]

We have to simplify and get the value of x from this inequality given:

Given inequality,

3(x - 4) > 5x + 2

Now let's simplify by using distributive property,

3x - 12 > 5x + 2

We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.

3x - 12 - 5x  - 2 > 0

- 2x - 14 > 0

Now, dividing -2 from both sides.

Note : As we are dividing a negative number from both sides, the sign of the inequality will be <u>reversed</u>.

\dfrac{ - 2x - 14}{ - 2}  >  \dfrac{0}{ - 2}

x + 7 < 0

Now subtracting -7 from both sides,

x + 7 - 7 < 0 - 7

x <  - 7

Or, Interval of the equal (- \infin, -7 ]

#CarryOnLearning

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3 0
3 years ago
PLEASE HELP QUICK
valentinak56 [21]

Answer: 28 in.

Step-by-step explanation:

its simple

7 0
3 years ago
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