Write an algebraic expression for the verbal expression.

Vikentia [17]

Since there are a 100 cents in a dollar. the 100 is the denominator.
46/100, reduce; 23/50, can't be reduced any further. so 23/50 is the fraction.

7 0

3 years ago

Read 2 more answers

Give the equation for a circle with the given center and radius.Center at (-10, -4), radius = 5A. (x−10)^2+(y−4)^2=25B. (x−4)^2+

BaLLatris [955]

$D)(x+10)^2+(y+4)^2=5^2=25$

Explanation

Step 1

We know that the general equation for a circle is

$\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ \end{gathered}$

where

(h,k) is the center of the circel

and r is the radius

then, all we need to do is replace

Let

$\begin{gathered} \text{center}\Rightarrow(h,k)\Rightarrow(-10,-4) \\ \text{radius}\Rightarrow r\Rightarrow5 \end{gathered}$

replace the values

$\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-(-10))^2+(y-(-4))^2=5^2 \\ (x+10)^2+(y+4)^2=5^2=25 \end{gathered}$

therefore, the answer is

$D)(x+10)^2+(y+4)^2=5^2=25$

I hope this helps you

7 0

2 years ago

Which number best represents the slop of the graphed line?

Dafna1 [17]

It’s -1/5 good luck with the edmentum course girl

5 0

3 years ago

Laura picks 7 apples.Some apples are red and some are green. Fewer than 4 of the apples are red. How many of laura's apples coul

GrogVix [38]

Answer:

As many as 7 apples or as few as 4 apples could be green.

Step-by-step explanation:

Laura picks 7 apples.Some apples are red and some are green. Fewer than 4 of the apples are red. How many of laura's apples could be green?

x = total number of red apples

y = total number of green apples

Fewer than 4 of the apples are red.

x<4

That means that 3 or less of the apples are red

So, 7 - 3 = 4

That means that 4 or more apples are green.

7≥y≥4

That means that as many as 7 apples or as few as 4 apples could be green.

7 0

3 years ago

A club consists of 21 Republicans and 25 Democrats. If four people are chosen at random to be on a committee, what is the proba

Allushta [10]

Answer:

88.58% probability that at least one person from each political party will be chosen

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Also, the order which the people are chosen is not important. So the combinations formula is used to solve this problem.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

If four people are chosen at random to be on a committee, what is the probability that at least one person from each political party will be chosen?

Either only Republicans or Democrats are chosen, or at least one member from each party is chosen. The sum of these probabilities is 100%.

The easier way to solve this is first finding the probability that members are only from one party.

Probability of having members from only one party:

Desired outcomes:

Only Democrats:

4 from a set of 25.

Only Republican:

4 from a set of 21.

So

$D = C_{25,4} + C_{21,4} = \frac{25!}{4!21!} + \frac{21!}{4!17!} = 18635$

Total outcomes:

4 from 21+25 = 46 total members

$T = C_{46,4} = \frac{46!}{4!42!} = 163185$

Probability:

$p = \frac{D}{T} = \frac{18635}{163185} = 0.1142$

11.42% probability of having people from only one party in the committee

Probability of at least one person from each party:

p + 11.42 = 100

p = 88.58

88.58% probability that at least one person from each political party will be chosen

5 0

4 years ago