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3 years ago

By what number we multiply -7/16 so that the product may be 46/28

Mathematics

1 answer:

Aliun [14]3 years ago

3 0

Answer:

The eq will be=-7/16 × x=46/28

x=46/28 ×-16/7

x=-192/49

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Triangle ABC is similar to triangle DEF.

Sav [38]

Answer: x=7.7, y=40

3/x = 15/38.5

38.5*3=115.5

115.5/15= 7.7

x=7.7

3/8 = 15/y

15*8=120

120/3= 40

y=40

orrrr you can just easily find the scale factor which is 5, multiply 8 by 5 and get 40. And 38.5/5 which is 7.7

7 0

2 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

Three families bought food at a baseball game. The Castillo family

NikAS [45]

Answer:

1.50

Step-by-step explanation:

3 0

2 years ago

12.956 rounded to the nearest whole number

Sveta_85 [38]

Answer:

Step-by-step explanation:

4 0

2 years ago

Multiply and simplify (4p +2) (6p-3) show work

quester [9]

Answer is 24p^2 - 6
you get this because you are suppose to use foil
4p x 6p
4p x -3
2 x 6p
2 x -3
when u do all that you get
24p^2 - 12p + 12p -6
combine like terms you get 24p^2 - 6

6 0

2 years ago