Helen has 14 cats but now only 5. what is the percent decrease?

ikadub [295]

Okay so Average Rate of Change is what it says;
It's the average of the rate of change

Change can be represented by a - b, for example, if I start 2 miles away from my house and I walk until I'm 3 miles away, I can say 3 - 2 = 1, I walked 1 mile

I'm sure you know what the average is, so let's move on

We're asked to find the average rate of change between minutes 25 and 13
In minute 25, the amount of money is 19.50
In minute 13 the amount of money is 16.50

There is 12 minutes between 25 and 13, and there is a $3 difference between $19.50 and $16.50

So, if it's asking for how many minutes per 1 dollar, then we saw a change of 3 dollars over 12 minutes, divide both numbers by three and we get
1 dollar / 4 minutes

7 0

4 years ago

A field in the shape of a right triangle has an area of 30

DedPeter [7]

The length of longer leg is 10 meters.

Solution:

Given, A field in the shape of a right triangle has an area of 30 square meters. One leg of the right triangle that forms the field is 4 meters longer than the other leg,

We have to find what is the length of the longer leg?

Let the length of one 1st leg be b, then length of 2nd leg will be b + 4

The area of triangle is given as,

$\text { area of right triangle }=\frac{1}{2} \times 1 \text { st leg length } \times \text { 2nd leg length }$

$\begin{array}{l}{30=\frac{1}{2} \times b \times (b+4)} \\\\ {2 \times 30=b \times (b+4)} \\\\ {2 \times 3 \times 10=b \times (b+4)} \\\\ {6 \times 10=b \times (b+4)} \\\\ {6 \times(6+4)=b \times (b+4)}\end{array}$

So, by comparison b = 6 , then lengths of two legs will be 6, 6+4 = 10.

Hence, the length of longer leg is 10 meters.

6 0

4 years ago

What is the perimeter of the polygon? pic provided.

allsm [11]

17 cm is the perimeter of the polygon

7 0

3 years ago

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It is estimated that, during the past year, 27% of all adults visited a therapist and 46% of all adults used non-prescription an

coldgirl [10]

Answer:

(a) The probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.

(b) The probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.

Step-by-step explanation:

Conditional probability of an event X given that another event Y has already occurred is:

$P(X|Y)=\frac{P(X\cap Y)}{P(Y)}$

Let A = an adult visited the therapist and B = an used non-prescription antidepressants.

Given:

P (A) = 0.27

P (B) = 0.46

P (A ∩ B) = 0.21

(a)

Compute the probability that a randomly selected adult who visited a therapist during the past year also used non-prescription antidepressants as follows:

$P(B|A)=\frac{P(A\cap B)}{P(A)} =\frac{0.21}{0.27} =0.77778\approx0.78$

Thus, the probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.

(b)

Compute the probability that a randomly selected adult visited a therapist during the past year, given that he or she used non-prescription antidepressants as follows:

$P(A|B)=\frac{P(A\cap B)}{P(B)} =\frac{0.21}{0.46} =0.4565\approx0.46$

Thus, the probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.

5 0

3 years ago

In 4 weeks, Mark earns an average of $400 per week. If, after working another 2 weeks at a constant salary, his average earnings

babymother [125]

The answer is 1400 because he got 400$ on the third to last week, 500$ on the second to last week, and 500$ on the last week. that adds up to 1400$

8 0

3 years ago

Read 2 more answers