What is the zero of r(x)=8/3x-16

Write using exponents (-4n)(-4n)(-4n)(-4n)(-4n)

(-4n)^5 because there are five of them.

4 0

4 years ago

A pizzeria charges $8 for a large cheese pizza, plus $2 for each topping. The total cost for a large pizza is given by the equat

Leni [432]

Slope is the rise and run of a point on the graph to the other
the y intercept is where a line crosses the y axis for example, (0,5) so 5 is the y intercept

(0,8), (1,10), (2, 12), (3, 14), (4, 16), (5, 18)

7 0

4 years ago

Read 2 more answers

Lines l and m are perpendicular. if the slope of line m is -4/3, what is the slope of line l?

azamat

Since they are perpendicular the slopes of the two lines must be opposite (meaning they must have opposite signs such as "1" and "-1") as well as be reciprocals (meaning the fraction must be flipped, in example with this problem as the reciprocal of "-4/3" is "-3/4")

the slope of line L must be 3/4

8 0

4 years ago

Reducing fractions 5 to 30.

Crazy boy [7]

Answer:

$5 \leqslant x \leqslant 30$

4 0

3 years ago

The Wall Street Journal reported that the age at first startup for 90% of entrepreneurs was 29 years of age or less and the age

Hitman42 [59]

Answer:

(a) $\hat p\sim N(0.90,\ 0.0212^{2}})$

(b) $\hat q\sim N(0.10,\ 0.0212^{2}})$

(c) Not different.

Step-by-step explanation:

The information provided is:

The age at first startup for 90% of entrepreneurs was 29 years of age or less.
The age at first startup for 10% of entrepreneurs was 30 years of age or more.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

(a)

Let p represent the proportion of entrepreneurs whose first startup was at 29 years of age or less.

A sample of n = 200 entrepreneurs is selected.

As n = 200 > 30, according to the Central limit theorem the sampling distribution of sample proportion can be approximated by the normal distribution.

Compute the mean and standard deviation as follows:

$\mu_{\hat p}=p=0.90\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.90(1-0.90)}{200}}=0.0212$

So, $\hat p\sim N(0.90,\ 0.0212^{2}})$ .

(b)

Let q represent the proportion of entrepreneurs whose first startup was at 30 years of age or more.

A sample of n = 200 entrepreneurs is selected.

As n = 200 > 30, according to the Central limit theorem the sampling distribution of sample proportion can be approximated by the normal distribution.

Compute the mean and standard deviation as follows:

$\mu_{\hat q}=q=0.10\\\\\sigma_{\hat q}=\sqrt{\frac{q(1-q)}{n}}=\sqrt{\frac{0.10(1-0.10)}{200}}=0.0212$

So, $\hat q\sim N(0.10,\ 0.0212^{2}})$ .

(c)

The standard deviation of sample proportions is also known as the standard error.

The standard deviation of p is, 0.0212.

The standard deviation of q is, 0.0212.

Thus, the standard errors of the sampling distributions in parts (a) and (b) are same.

5 0

3 years ago