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Sergeu [11.5K]
3 years ago
8

Task 6

Mathematics
1 answer:
Doss [256]3 years ago
5 0

Answer:

His total earnings for sales of $948 is $425.84

Step-by-step explanation:

Let the percentage of his commission be a percentage with its value represented as x and b be his base salary , y as his total earnings

So we have;

y = x% of sales + base salary

for 849 sales and 417.92 , we have

417.92 = 8.49x + b •••••••(i)

for 1011 sales and 430.88 servings

430.88 = 10.11x + b ••••••(ii)

Subtract i from ii

12.96 = 1.62x

x = 12.96/1.62

x = 8

To get b, we substitute

430.88 = 10.11(8) + b

b = 430.88 - 10.11(8) = 350

Commission is 8% , base earnings is $350

So for total sales of 948;

y = 8% of 948 + 350

y = $425.84

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Choose the correct written expression for: (3 x 4) + (6 2).
Inga [223]

Answer:

The product of 3 and 4 plus the quotient of 6 and 2 (aka the second one)

Step-by-step explanation:

8 0
2 years ago
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Indigo Depot is having a clearance sale of their summer items. A swimsuit that originally cost $90 before any discount is on sal
nekit [7.7K]

Answer:

$43.20

Step-by-step explanation:

A swimsuit that originally cost $90 before any discount is on sale for 20% off.

X = price of swimsuit

X = 90

20% off = 90 * 0.8 = 72

The swimsuit is then put on clearance for an additional 40 % off the sale price.

72 * 0.6 = 43.2

what is the final price?

$43.20

6 0
2 years ago
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3. A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles. (20 points)
Vilka [71]

Answer:

a. The plane's speed in mph is 560

b. At this rate, the plane can travel 5,600 miles in 10 hours.

Step-by-step explanation:

In order to find the planes speed in mph, some simple arithmetic must be done and you should divide 3,360 by 6.   Now that you have determined that 3,360/6 equals 560, you know that in order to figure out how many miles the plane can travel in 10 hours, all you must do is multiply 560 by 10 which equals 5,600.

7 0
2 years ago
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Vadim26 [7]

Answer:

We conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

Step-by-step explanation:

We are given that a particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8000.

From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9800 miles.

<u><em>Let </em></u>\mu<u><em> = average miles for deluxe tires</em></u>

So, Null Hypothesis, H_0 : \mu \geq 50,000 miles   {means that deluxe tire averages at least 50,000 miles before it needs to be replaced}

Alternate Hypothesis, H_A : \mu < 50,000 miles    {means that deluxe tire averages less than 50,000 miles before it needs to be replaced}

The test statistics that will be used here is <u>One-sample z test statistics</u> as we know about population standard deviation;

                                  T.S.  = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean lifespan = 46,500 miles

            \sigma = population standard deviation = 8000 miles

            n = sample of tires = 28

So, <u><em>test statistics</em></u>  =  \frac{46,500-50,000}{\frac{8000}{\sqrt{28} } }

                               =  -2.315

The value of the test statistics is -2.315.

Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is less than the critical value of z as -2.315 < -1.6449, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

4 0
3 years ago
forty years ago gasoline cost $0.30 per gallon on average. ten years ago gasoline average about $1.50 per gallon. What is the pe
DiKsa [7]
It is as 5x's as much.
<em>$0.30 X 5 = $1.50</em>
Hope I helped
3 0
3 years ago
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