All categories

2 years ago

The perimeter of a television screen is 94 inches it is 17 inches tall how wide is it

Mathematics

1 answer:

Nadya [2.5K]2 years ago

5 0

<h3>Answer: 30 inches</h3>

==========================================================

Explanation:

x = unknown width

For this rectangle, there are 2 sides of length x, and 2 sides of length 17.

The perimeter is P = 2x+2*17 = 2x+34

Set this equal to the given perimeter (94) and solve for x.

2x+34 = 94

2x = 94-34

2x = 60

x = 60/2

x = 30

The TV is 30 inches wide

You might be interested in

5.Sebuah kapal selam berada 420.5 m di bawah aras laut. Kapal selam itu menyelam sedalam 185.6 m dan kemudian menaik 200.9 m. Te

andrezito [222]

Translation:
5. A submarine is 420.5 m below sea level. The submarine dived 185.6 m deep and then climbed 200.9 m. Determine the new position of the submarine based on sea level.

4 0

3 years ago

longitud del radio de la circunferencia circunscrita a un heptágono regular si su diagonal de menor longitud mide 42 cm

oksano4ka [1.4K]

Answer:

The answer is easy.

Step-by-step explanation:

6 0

3 years ago

Which of the following statements best describes the location of −(−2) on a number line? It is 2 units to the right of 0. It is

ivolga24 [154]

Let say x = -(-2) where x is the distance of number on number line from 0.
x = -(-2)
x = +2.
Since +2 is positive quantity, positive quantities are written to the right of 0 on number line.
Hence it is 2 units to the right of 0.

3 0

3 years ago

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

-9x2 + 13x – 1=0<br><br> I need 3 answers, pls help me:)

kifflom [539]

The answer to this question is x = 13/9 = 1.444

5 0

3 years ago