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Simplify the expression 4^4/4^6

Answers

Answer 1

Answer:

Answer:

$1/16$

Step-by-step explanation:

$(4^(4) )/(4^(6) )$

$4^(4-6)$

$4^(-2)$

$(1)/(4^(2) )$

$(1)/(16)$

Answer 2

Answer:

Final answer:

By using the rules of exponents, we find that $4^4/4^6$ simplifies to $1/4^2$ , which equals 1/16.

Explanation:

The expression you're looking to simplify is $4^4/4^6$ . In mathematics, when you divide two numbers with the same base, you subtract the exponents. To simplify this expression, subtract the exponent 6 from the exponent 4. This gives us $4^(-2)$ , and any number raised to a negative exponent is 1 divided by the number raised to that exponent. Thus, the simplified form of the expression is $1/4^2$ or 1/16.

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You receive a fax with six bids (in millions of dollars):2.2,1.3,1.9,1.2 2.4 and x is some number that is too blurry to read. Without knowing what x is, the median a. Is 1.9 b. Must be between 1.3 and 2.2 c. Could be any number between 1.2 and 2.4

Answers

Answer:

b. Must be between 1.3 and 2.2

Step-by-step explanation:

The formula for calculating median is :

When n(number of observations in data) is odd = $((n+1)/(2) )^(th) observation$
When n is even = $(((n)/(2))^(th)obs. + ((n)/(2) + 1)^(th) obs. )/(2)$

Since in our data n is even so we use the formula for calculating median

= $(((n)/(2))^(th)obs. + ((n)/(2) + 1)^(th) obs. )/(2)$

First arranging data in ascending order we get :

1.2, 1.3, 1.9, 2.2, 2.4 and since we know nothing about our sixth value x so we assume that it may take any position in our data.

Now there may be cases for which position is x on ;

If x is the first obs in our data then our median = $(3^(rd)obs + 4^(th)obs )/(2)$ = $(1.3+1.9)/(2)$

= 1.6

If x is between 1.2 and 1.3 then also median will be 1.6 .

If x is between 1.3 and 1.9 then median will be somewhere between 1.3 and 1.9 .
If x is between 1.9 and 2.2 then median will be somewhere between 1.9 and 2.2 .

And If x is between 2.2 and 2.4 or after 2.4 then median = $(3^(rd)obs + 4^(th)obs )/(2)$

= $(1.9+2.2)/(2)$ = 2.05 .

So from all these observations we conclude that without knowing what x median of data must be between 1.3 and 2.2 .

Final answer:

The median of a set of bids can be found by arranging them in numerical order and selecting the middle value.

Explanation:

The median is the middle value of a set of data arranged in numerical order. In this case, we have a set of six bids: 2.2, 1.3, 1.9, 1.2, 2.4, and x (blurred number). To find the median, we first need to arrange the bids in numerical order:

Since there are six bids, the middle value will be the fourth number in the ordered list. Therefore, the median is 2.2.

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162:53:55AD and MN are chords that intersect at point B.

A circle is shown. Chords A D and M N intersect at point G. The length of A B is 9, the length of B D is x + 1, the length of M B is x minus 1, and the length of B N is 15.

What is the length of line segment MN?

4 units
6 units
18 units
24 units

Answers

Answer:18

Step-by-step explanation:

Answer:

Step-by-step explanation:

edg B)

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work in temperatures of 200-500 degrees. In a test of one type of mask, 24 of 55 were found to have their lenses pop out at 325 degrees. Construct and interpret a 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees.

Answers

Answer:

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.