A sailboat’s sail has three sides that are all the same length. Each side measures x−10 units. The sail’s perimeter is 63 units.

Oliver deposited $1,640.70 in a savings account that earns 2.6% simple interest. What will Oliver's account balance be in 8 mont

Evgesh-ka [11]

The answer would probably be the last one cuz it’s true and it has more then one thing

8 0

2 years ago

What is the absolute value equation for this graph?

Delvig [45]

Answer:

y = |x-3| -1

Step-by-step explanation:

The parent function has been shifted right 3 units and down 1 unit. That is f(x)=|x| has been moved to ...

y = f(x -3) -1

y = |x -3| -1 . . . . matches the last choice

6 0

2 years ago

In a sample of 70 stores of a certain company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi

uysha [10]

Answer:

We need at least 243 stores.

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.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

$n = 70, p = \frac{62}{70} = 0.886$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95% confidence using the large-sample method.

We need at least n stores.

n is found when M = 0.04. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}$

$\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}$

$n = 242.5$

Rounding up

We need at least 243 stores.

5 0

2 years ago

After 3 minutes, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended to −420 feet. Assuming a l

LiRa [457]

Answer:

$d(t) = -20t - 260$

Step-by-step explanation:

The depth function is:

$d(t) = mt + b$

After 3 minutes, a submarine had descended to −320 feet.

This means that $d(3) = -320$ . So

$d(t) = mt + b$

$-320 = 3m + b$

After 8 minutes, the submarine had descended to −420 feet.

This means that $d(8) = -420$ . So

$d(t) = mt + b$

$-420 = 8m + b$

From the first equation:

$b = -320 - 3m$

So

$-420 = 8m + b$

$-420 = 8m - 320 - 3m$

$5m = -100$

$m = \frac{-100}{5}$

$m = -20$

And

$b = -320 - 3*(-20) = -260$

So

$d(t) = -20t - 260$

7 0

3 years ago

3. (04.04 MC)

Marina CMI [18]

Answer:

Part A:

The graph passes through (0,2) (1,3) (2,4).

If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points. Using (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2

Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.

Since the slope is constant (the same) everywhere, the function is linear.

Part B:

A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.

An example is y=2x-3

A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3

A non-linear function contains at least one of the following,

*Product of x and y

*Trigonometric function

*Exponential functions

*Logarithmic functions

*A degree which is not equal to 1 or 0.

An example is...xy= 1 or y= sqrt. x

An example of a linear function is 1/3x = y - 3

An example of a non-linear function is y= 2/3x

3 0

2 years ago