-2xt+y =4 what’s the slope and y intercept

A stem-and-leaf plot is most useful for which reasons below? Select all that apply.

liq [111]

Answer:

A,C,D

Step-by-step explanation:

5 0

3 years ago

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A ball was kicked into the air from a balcony 20

Ainat [17]

Max ht is at the vertex of the parabola, at t = -b/2a
t = -32/-32 = 1
h(1) = -16 + 32 + 20
= 36 feet
hope this helps

5 0

3 years ago

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Nikki is 5 years older than Jamie. The product of their ages is 126. Which equation could be used to find Nikki’s age, n?

slavikrds [6]

Answer:

126 = n × (n - 5)

Step-by-step explanation:

If Nikki's age is n and she is 5 years older than Jamie, then Jamie is 5 years younger than Nikki's n number of years.

7 0

4 years ago

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Anettt [7]

Answer:

Choice C: approximately 121 green beans will be 13 centimeters or shorter.

Step-by-step explanation:

What's the probability that a green bean from this sale is shorter than 13 centimeters?

Let the length of a green bean be $X$ centimeters.

$X$ follows a normal distribution with

mean $\mu = 11.2$ and
standard deviation $\sigma = 2.1$ .

In other words,

$X\sim \text{N}(11.2, 2.1^{2})$ ,

and the probability in question is $X \le 13$ .

Z-score table approach:

Find the z-score of this measurement:

$\displaystyle z= \frac{x-\mu}{\sigma} = \frac{13-11.2}{2.1} = 0.857143$ . Closest to 0.86.

Look up the z-score in a table. Keep in mind that entries on a typical z-score table gives the probability of the left tail, which is the chance that $Z$ will be less than or equal to the z-score in question. (In case the question is asking for the probability that $Z$ is greater than the z-score, subtract the value from table from 1.)

$P(X\le 13) = P(Z \le 0.857143) \approx 0.8051$ .

"Technology" Approach

Depending on the manufacturer, the steps generally include:

Locate the cumulative probability function (cdf) for normal distributions.
Enter the lower and upper bound. The lower bound shall be a very negative number such as $-10^{9}$ . For the upper bound, enter $13$
Enter the mean and standard deviation (or variance if required).
Evaluate.

For example, on a Texas Instruments TI-84, evaluating $\text{normalcdf})(-1\text{E}99,\;13,\;11.2,\;2.1 )$ gives $0.804317$ .

As a result,

$P(X\le 13) = 0.804317$ .

Number of green beans that are shorter than 13 centimeters:

Assume that the length of green beans for sale are independent of each other. The probability that each green bean is shorter than 13 centimeters is constant. As a result, the number of green beans out of 150 that are shorter than 13 centimeters follow a binomial distribution.

Number of trials $n$ : 150.
Probability of success $p$ : 0.804317.

Let $Y$ be the number of green beans out of this 150 that are shorter than 13 centimeters. $Y\sim\text{B}(150,0.804317)$ .

The expected value of a binomial random variable is the product of the number of trials and the probability of success on each trial. In other words,

$E(Y) = n\cdot p = 150 \times 0.804317 = 120.648\approx 121$

The expected number of green beans out of this 150 that are shorter than 13 centimeters will thus be approximately 121.

7 0

3 years ago

The diameter of a circle is 14 in. Find its area in terms of π π.

maksim [4K]

Answer:

49π in²

Step-by-step explanation:

Step 1: Find the radius.

To find radius given diameter, just divide the diameter by 2: $\frac{14}{2}$
14/2 = 7, so the radius is 7.

Step 2: Apply area of circle formula.

The formula to find the area of a circle is πr², where r = radius.
Now, plug in the value of r: π(11)².

Step 3: Simplify.

π(11)²
π(121)
121π

Since we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².

4 0

3 years ago