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3 years ago

Decide!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

slega [8]3 years ago

7 0

Answer:

1458

Step-by-step explanation:

As per the question we are looking for a number which is a multiple of the greatest possible exponent of 3.

Let's see the exponents of 3 within 1-2017 interval:

3¹ = 3, 3²= 9, 3³ = 27, 3⁴ = 81, 3⁵ = 243, 3⁶ = 729, 3⁷ = 2187 > 2017

As we see the greatest exponent of 3 is 729.

There are two multiples of 729 in the given interval:

729*1 = 729 and 729*2 = 1458

So the last number is 1458

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stat: sample of 780 adults in the U.S.A., it was found that 80 of those had a pinworm infestation. You want to find the 99% conf

Anettt [7]

Answer: 554

Step-by-step explanation:

If prior population proportion is known, then the formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

As per given description, we have

p= 0.1

E=0.025

Critical z-value for 95% confidence : $z_{\alpha/2}=1.96$

Then,

$n=0.1(1-0.1)(\dfrac{1.96}{0.025})^2=553.1904\approx554$

Hence, the minimum sample size required = 554.

7 0

3 years ago

What are the X and Y intercepts of y= -2(x-4)2 +3

kari74 [83]

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

$y = -2(x-4)^2+3$

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, $-2(x-4)^2 + 3 = 0$

$-2(x^2+16+8x) + 3 = 0$

$-2x^2-32-16x + 3 = 0$

$-2x^2-16x -29 = 0$

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)

4 0

3 years ago

Find the midpoint between (-1, -1) and (-9,6).?

ryzh [129]

Answer:

(-5,-3.5) is the midpoint

Step-by-step explanation:

See photo for the step-by-step explanation

7 0

3 years ago

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Select the equations where x = 8 is the solution. Select all that apply (select 3).

seraphim [82]

Answer:

Step-by-step explanation:

1. x - 2 = 10

x = 10 + 2 = 12

2. 40 = 5x

40/5 = x

x = 8

3. x/2 = 8

Multiply by 2 on both sides

x = 16

4. x + 14 = 24

x = 24 - 14 = 10

5. x + 2 = 10

x = 10 - 2 = 8

6. x/8 = 1

Multiply by 8 on both sides

x = 8

No 2 5 and 6 is the correct answer

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3 years ago

Please help me A? B? C? D?

MrMuchimi

Answer:

Step-by-step explanation:

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2 years ago

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