How many times greater is the value of 83 than the value 0.083?

Tammy rents an apartment close to her school campus. The amount that she spends on rent is given by the equation r = 355m, where

inna [77]

answer is c because if it's not a and b then the only answers will be c and d and d is the same as the number so it's c

8 0

3 years ago

Find the rate of change between (-3,6) (0,-3)

marin [14]

<h3>The rate of change between (-3,6) (0,-3) is -3</h3>

Solution:

Given that,

We have to find the rate of change between (-3,6) (0,-3)

The rate of change is given as:

$Rate\ of\ change = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (-3, 6)\\\\(x_2, y_2) = (0, -3)$

Substituting the values we get,

$Rate\ of\ change = \frac{-3-6}{0+3}\\\\Rate\ of\ change = \frac{-9}{3}\\\\Rate\ of\ change = -3$

Thus rate of change is -3

3 0

3 years ago

Given:

lisov135 [29]

Answer:

c

Step-by-step explanation:

6 0

3 years ago

Suppose Sally has $28.00 in her bank account and starts saving $18.25 every week. Her friend Suzy has $161.00 in her bank accoun

Elza [17]

a.

Sally has $28.00 in her bank account and starts saving $18.25 every week.

Let x represent the number of weeks from when he have $28.00 in her account.

and y represent the amount in her account at week x;

We can write the function of the case as;

$y=mx+b$

where m is the amount she saves every week, and b the initial amount in her account.

$\begin{gathered} m=\text{ \$18.25} \\ b=\text{ \$28.00} \end{gathered}$

So, the function will be;

$y=18.25x+28$

b.

Her friend Suzy has $161.00 in her bank account and is withdrawing $15 every week.

Using the same rule as in a above;

$\begin{gathered} m=-15\text{ (withdrawing is negative)} \\ b=161 \end{gathered}$

The function will be;

$y=-15x+161$

c.

The graph of the two functions is shown below;

d.

The point where the two lines intersect is shown in the graph above.

The point is at;

$(4,101)$

Which is at week 4 and balance $101.

e.

The point at which they intersect is the point where they both have the same values.

It is the week when both Sally and Suzy have the same amount in there account.

So, at the fourth week (week 4) Sally and Suzy both have $101 in their account

3 0

1 year ago

The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0 (Think of these as

bija089 [108]

Answer:

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 70

Standard Deviation, σ = 3

Sample size, n = 36

Let the average score of all pro golfers follow a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(score of the 36 golfers was between 70 and 71)

$\text{Standard error of sampling} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = \frac{1}{2}$

$P(70 \leq x \leq 71) = P(\displaystyle\frac{70 - 70}{\frac{3}{\sqrt{36}}} \leq z \leq \displaystyle\frac{71-70}{\frac{3}{\sqrt{36}}}) = P(0 \leq z \leq 2)\\\\= P(z \leq 2) - P(z \leq 0)\\= 0.977 - 0.500 = 0.477= 47.7\%$

$P(70 \leq x \leq 71) = 47.7\%$

0.477 is the probability that the average score of the 36 golfers was between 70 and 71.

8 0

3 years ago