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dimulka [17.4K]
2 years ago
4

The number of CDs sold in 2010 was 114 million, down from 147 million the previous year. Find the absolute and relative percent

decrease
Mathematics
2 answers:
Eva8 [605]2 years ago
5 0

Answer: There is absolute decrease of 33 millions and relative decrease of 22.45%

Step-by-step explanation:

Since we have given that

Number of CDs sold in 2010 = 114 millions

Number of CDs sold in 2009 = 147 million.

As we need to find the Absolute decrease:

\text{ Absolute decrease }=147-114\\\\=33\ millions

Now, we need to find the relative decrease:

\text{ Relative decrease}=\frac{Difference}{Original}\times 100\\\\\text{ Relative decrease}=\frac{33}{174}\times 100\\\\\text{ Relative decrease}=22.45\%

Hence, there is absolute decrease of 33 millions and relative decrease of 22.45%.


hodyreva [135]2 years ago
4 0
<h2>Answer with explanation:</h2>

The formula to find the percent decrease is given by :-

\dfrac{\text{Decrease in amount}}{\text{Previous amount}}\times 100

Given : The number of CDs sold in 2010 was 114 million, down from 147 million the previous year.

Decrease in number of CDs = \text{147-114 million}=33\text{ million}

The percent decrease will be :_

\dfrac{33}{147}\times 100=22.4489795918\approx22.45\%

Hence, the relative percent decrease = -10.96%

The absolute percent decrease = 10.96%.

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5.
andrew-mc [135]

Answer:

The  angle of depression from Platform A to Platform B is 43.1^{\circ}

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the  platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the  angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}

Hence  the  angle of depression from Platform A to Platform B is 43.1^{\circ}

4 0
2 years ago
Suppose Frances is a researcher at Beaded Gemsz, a company that makes beaded jewelry. She wants to evaluate whether using better
Natalija [7]

Answer:

There is 8% (P=0.08) that Frances concludes that the new equipment increases the average daily jewelry production when in fact the new equipment has no effect.

Step-by-step explanation:

We have one-sample z-test with a significance level of 0.08 and a power ot the test of 0.85.

In this test, the null hypothesis will state that the new equipment has the same  productivity of the older equipment. The alternative hypothesis is that there is a significative improvement from the use of new equipment.

The probability that Frances concludes that the new equipment increases the average daily jewelry production when in fact the new equipment has no effect is equal to the probability of making a Type I error (rejecting a true null hypothesis).

The probability of making a Type I error is defined by the level of significance, and in this test this value is α=0.08.

Then, there is 8% that Frances concludes that the new equipment increases the average daily jewelry production when in fact the new equipment has no effect.

6 0
2 years ago
Ana wrote four statements to describe circle S. Statements: AB is a diameter. ST , SP and SQ are radii. SQ = 12 cm PQ = 12 cm Ar
wel

<em><u>Two</u></em> of the four statements that Ana wrote are <em><u>correct</u></em>. Number 1, "AB is a diameter" is incorrect, and so is number 3, "SQ = 12 cm". AB is not a diameter because it is instead a chord. "ST , SP and SQ are radii" is correct because they are straight lines from the center of the circle to the circumference of the circle, which is the exact definition of radius. The third statemet is incorrect because since ST is a radius and it equals 6, that means all radii are equal to 6. SQ is a radius of circle S, so it should also equal 6, not 12. The last statement is correct because PQ is a diameter of circle S. By rule, the diameter is always equal to double of the radius. The radius is 6, so 6 x 2= 12.

8 0
2 years ago
Mr. James has cylindrical beakers that measure 4 inches in diameter and are 9 inches high. What is the volume contained within t
kirill115 [55]
The equation to find the volume of a cylinder is V = pi•r^2•h.
The radius is half of the diameter.  Since Mr. James' beakers have a diameter of 4, their radius would be 2.  2 squared is 4.
Their height is 9 inches.
V = 3.14•4•9
V = 3.14•36
V = 113.04
The answer is C, or 113.04 cubic inches.
5 0
2 years ago
Read 2 more answers
What is the factored form of 36x4 – 25?
gladu [14]
36x^4 - 25=(6x^2)^2-5^2=(6x^2-5)(6x^2+5)
8 0
2 years ago
Read 2 more answers
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