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2 years ago

Express 4.16×(10)^3 in standard form

1 answer:

8 0

Since it is to the third, we move the decimal point three places over to the right:

4.16 ---> 4,160

What ever the power, move it over that amount.

If the power is negative,move it that amount to the left, making it smaller.

Hope this helps!

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Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f

STALIN [3.7K]

Answer: b) 84

Step-by-step explanation:

Let p be the prior estimate of the required proportion.

As per given , we have

p =0.5 (The probability of getting heads on a fair coin is 0.5)

Significance level : $\alpha: 1-0.90=0.10\\$

Critical z-value (using z-value table ) : $z_{\alpha/2}=1.645$

Confidence interval width : w= 0.18

Thus , the margin of error : $E=\dfrac{w}{2}=0.09$

Formula to find the sample size ( if prior estimate of proportion is known.):-

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

Substitute the values , we get

$n=0.5(1-0.5)(\dfrac{1.645}{0.09})^2$

Simplify ,

$n=83.5192901235\approx84$ [Round of to the next whole number.]

Hence, the number of times we would have to flip the coin =<u>84</u>

hence, the correct answer is b) 84

8 0

3 years ago

The sale price of every item in a store is 85% of its usual price.

IgorC [24]

Answer:

$25.5

Step-by-step explanation:

To find 85% of $30, we can simply multiply the usual price, $30, by the decimal form of the percentage.

The decimal form of 85% is .85.

Now, multiply.

30*.85=25.5

The sale price of the backpack is $25.5.

Hope this helps!

3 0

2 years ago

Use numerals instead of words. If necessary, use / for the fraction bar.

Step2247 [10]

Here, AB ║ CD ; EF ⊥ AB

Number of 90 degree formed by the intersections of EF and two parallel lines AB and CD is 8

Hope this helps!

7 0

2 years ago

Find the slope of the line will mark as brain

vodka [1.7K]

Answer negative 9 is the answer

Step-by-step explanation:

7 0

3 years ago

Which equation is the inverse of y=x^2+16

stealth61 [152]

The inverse of the equation is the square root of x-16. In order to find inverse switch the y and x values and try to isolate y

5 0

2 years ago