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2 years ago

You bought a winter coat for S48.75. The original price was $75. What percent of the original price did you pay for the coat?

Mathematics

1 answer:

enot [183]2 years ago

4 0

Answer:

53.85%

Step-by-step explanation:

75-48.75= 26.25

26.25/48.75x100= 53.8461538462 Round 53.85%

Check Answer:

48.75 x 53.85%=26.251875 Round 26.25

48.75 + 26.25=75

Hence, the correct answer is 53.85%.

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What is 243.875 rounded to the nearest tenths on a number line

musickatia [10]

243.88 would be the nearest on a number line

8 0

2 years ago

At Least One Defective iPhone It has been reported that 20% of iPhones manufactured by Foxconn for a product launch did not meet

bija089 [108]

We can use the binomial theorem to find the probability that 0 out of the 15 samples will be defective, given that 20% are defective.
P(0/15) = (15C0) (0.2)^0 (1 - 0.2)^15 = (1)(1)(0.8)^15 = 0.0352
Then the probability that at least 1 is defective is equal to 1 - 0.0352 = 0.9648. This means there is a 96.48% chance that at least 1 of the 15 samples will be found defective. This is probably sufficient, though it depends on her significance level. If the usual 95% is used, then this is enough.

7 0

3 years ago

Solve dis attachment and show all work ( I got it all wrong and I want to know how to solve it )

DedPeter [7]

(a) First find the intersections of $y=e^{2x-x^2}$ and $y=2$ :

$2=e^{2x-x^2}\implies \ln2=2x-x^2\implies x=1\pm\sqrt{1-\ln2}$

So the area of $R$ is given by

$\displaystyle\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}\left(e^{2x-x^2}-2\right)\,\mathrm dx$

If you're not familiar with the error function $\mathrm{erf}(x)$ , then you will not be able to find an exact answer. Fortunately, I see this is a question on a calculator based exam, so you can use whatever built-in function you have on your calculator to evaluate the integral. You should get something around 0.5141.

(b) Find the intersections of the line $y=1$ with $y=e^{2x-x^2}$ .

$1=e^{2x-x^2}\implies 0=2x-x^2\implies x=0,x=2$

So the area of $S$ is given by

$\displaystyle\int_0^{1-\sqrt{1-\ln2}}\left(e^{2x-x^2}-1\right)\,\mathrm dx+\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}(2-1)\,\mathrm dx+\int_{1+\sqrt{1-\ln2}}^2\left(e^{2x-x^2}-1\right)\,\mathrm dx$
$\displaystyle=2\int_0^{1-\sqrt{1-\ln2}}\left(e^{2x-x^2}-1\right)\,\mathrm dx+\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}\mathrm dx$

which is approximately 1.546.

(c) The easiest method for finding the volume of the solid of revolution is via the disk method. Each cross-section of the solid is a circle with radius perpendicular to the x-axis, determined by the vertical distance from the curve $y=e^{2x-x^2}$ and the line $y=1$ , or $e^{2x-x^2}-1$ . The area of any such circle is $\pi$ times the square of its radius. Since the curve intersects the axis of revolution at $x=0$ and $x=2$ , the volume would be given by

$\displaystyle\pi\int_0^2\left(e^{2x-x^2}-1\right)^2\,\mathrm dx$

5 0

3 years ago

How many times larger is 4x10^7 than 5x10^5

irina1246 [14]

Answer:

8 times larger

Step-by-step explanation:

4 · $10^{7}$ = 4 · 10 · 10 · 10 · 10 · 10 · 10 · 10

4 · 100 · 100 · 100 · 10

400 · 10000 · 10

= 40000000

5 · $10^{5}$ = 5 · 10 · 10 · 10 · 10 · 10

50 · 100 · 100 · 10

5000 · 1000

= 5000000

40000000 ÷ 5000000 = 8

5 0

3 years ago

Let n represent the time in hours for the service call and C represents the total cost in dollars. Write an equation that relate

USPshnik [31]

Answer:

C(n) = pn

Step-by-step explanation:

Given :

n = time in hours for service call

C = total cost

Total cost = unit cost per hour * time in hours

If unit cost per hour = p

Hence,

C(n) = p * n

C(n) = pn

8 0

3 years ago