All categories

4 years ago

Which best explains why the equation 7×+3=7×+3 has infinitely many solutions

Mathematics

1 answer:

madreJ [45]4 years ago

4 0

Left and right side are exactly same, therefore "<span>the equation is true for any value of x.</span>"

Option B

You might be interested in

The University of Washington claims that it graduates 85% of its basketball players. An NCAA investigation about the graduation

Nonamiya [84]

Probabilities are used to determine the chances of events

The given parameters are:

Sample size: n = 20
Proportion: p = 85%

<h3>(a) What is the probability that 11 out of the 20 would graduate? </h3>

Using the binomial probability formula, we have:

$P(X = x) = ^nC_x p^x(1 - p)^{n -x}$

So, the equation becomes

$P(x = 11) = ^{20}C_{11} \times (85\%)^{11} \times (1 - 85\%)^{20 -11}$

This gives

$P(x = 11) = 167960 \times (0.85)^{11} \times 0.15^{9}$

$P(x = 11) = 0.0011$

Express as percentage

$P(x = 11) = 0.11\%$

Hence, the probability that 11 out of the 20 would graduate is 0.11%

<h3>(b) To what extent do you think the university’s claim is true?</h3>

The probability 0.11% is less than 50%.

Hence, the extent that the university’s claim is true is very low

<h3>(c) What is the probability that all 20 would graduate? </h3>

Using the binomial probability formula, we have:

$P(X = x) = ^nC_x p^x(1 - p)^{n -x}$

So, the equation becomes

$P(x = 20) = ^{20}C_{20} \times (85\%)^{20} \times (1 - 85\%)^{20 -20}$

This gives

$P(x = 20) = 1 \times (0.85)^{20} \times (0.15\%)^0$

$P(x = 20) = 0.0388$

Express as percentage

$P(x = 20) = 3.88\%$

Hence, the probability that all 20 would graduate is 3.88%

<h3>(d) The mean and the standard deviation</h3>

The mean is calculated as:

$\mu = np$

So, we have:

$\mu = 20 \times 85\%$

$\mu = 17$

The standard deviation is calculated as:

$\sigma = np(1 - p)$

So, we have:

$\sigma = 20 \times 85\% \times (1 - 85\%)$

$\sigma = 20 \times 0.85 \times 0.15$

$\sigma = 2.55$

Hence, the mean and the standard deviation are 17 and 2.55, respectively.

Read more about probabilities at:

brainly.com/question/15246027

8 0

3 years ago

Helpp i am really bad with math

Brut [27]

Answer:

1. 4y-12

2. c

For #1 you distribute the 4 to the y and the 3. 4 times 3 equals 12.

For #2 you factor out the 3 and you get 3(5x+1)

7 0

3 years ago

Read 2 more answers

Q. Mohammed calculated the volume of the prism as 240 cm3. Is he correct? *<br> a- yes <br> b- no

FrozenT [24]

Answer:

I gues s it s yes. if correct brainlest answer pla..

4 0

3 years ago

Read 2 more answers

Pls help due today or ill fail

Nezavi [6.7K]

Answer: Ok so I may be wrong but I got 84ft

Step-by-step explanation: The bottom looks like a rectangle so it would be 4 times 12. 4 times 12 equals 48. since the height is 4 it would be 10-4 which equals 6. 6 Times 12 divided by two equals 36. 36 plus 48 is 84.

7 0

3 years ago

Which products are negative?

Aliun [14]

Both A and D are negative products.

3 0

3 years ago