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tester [92]
2 years ago
8

a catalog store has 6% of its orders returned for a refund. the owner predicts that a new candle will have 812 returns out of th

e16,824 sold. do you agree with this prediction? explain.
Mathematics
2 answers:
Yakvenalex [24]2 years ago
5 0

Answer:

disagree, 1009 candles will return out.

Step-by-step explanation:

A catalog store has 6% of its orders returned for a refund.

The number of new candles sold = 16,824

6% of the sale is returned for a refund = 6% of 16,824

                                                               = \frac{6}{100}\times 16,824

                                                               = 0.06 × 16,824

                                                               = 1009.44 ≈ 1009

No, I do not agree with this prediction of "812 candles will have returned out", because 6% of 16,824 is 1009 candles, that will have returned out.

levacccp [35]2 years ago
4 0
X / 16,824 = 6 / 100
16,824 x 6 = 100,944
100,944 / 100 = 1,009.44
Disagree, approx. 1,009 will be returned.

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Question:

The question is incomplete. The display technology was not given. Find below the complete question and the answers.

Display from technology:

Hypothesis Test Results

μ : Mean of variable      

H₀ : μ=2.7 miles

HA  : μ >2.7 miles

Variable     Sample Mean      Std. Err.        DF           T-Stat            P-value

Length            3.23601        0.285185      499        2.230166        0.0131

Step-by-step explanation:

From the result obtained, we have;

Null hypothesis:   H₀ : μ=2.7 miles

Alternative hypothesis:   HA  : μ >2.7 miles

Test statistics = 2.230166

P-value =  0.0131

Significant level: α = 0.05

Since the P value is less than the significance level, we can reject the null hypothesis.

There is no sufficient evidence to support the claim that the mean tornado length is greater than 2.7 miles

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2 years ago
If a boatman rows his boat 35km up stream and 55km downstream in 12 hours and he can row 30km upstream and 44 km downstream in 1
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To answer this item, we let x be the speed of the boat in still water. The speed of the current, we represent as y.

When the boat travels upstream or against the current, the speed is equal to x – y and x + y if it travels downstream or along with the current.

The time it takes for the an object to travel a certain distance is calculated by dividing the distance by the speed.

First Travel:    35 / (x – y)   + 55 / (x + y) = 12

Second travel: 30 / (x – y)   + 44 / (x + y) = 10

Let us multiply the two equations with the (x-y)(x+y)

This will give us,

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Using dummy variables:

Let a = x + y and b be x – y

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From the first equation,

                     b = 35a/(12a – 55)

Substituting to the second equation,

                30a + 44(35a/(12a – 55)) = 10a(35a/(12a-55))

The value of a is 11.

              b = 35(11)/(12(11) – 55))

              b = 5

Putting back the equations,

        x + y = 11

       x – y = 5

Adding up the equations give us,

  2x = 16

   <em> x = 8 km/hr</em>

The value of x, the speed of the boat in still water, is 8 km/hr. 

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