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4 years ago

Drag each equation to show if it could be a correct first step to solving the equation 3(x+8)=42.

Mathematics

1 answer:

lubasha [3.4K]4 years ago

6 0

Answer:

The 2nd, 3rd, and last equations could be a possible first step.

The rest are no's.

Step-by-step explanation:

In the second equation, the 3 was distributed.

In the 3rd, it was separately distributed.

In the last, both sides were divided by 3.

The rest are knows because every equation gives us enough information.

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Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability,

Maurinko [17]

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that $p = 0.08$

Sample of 11 college graduates:

This means that $n = 11$

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662$

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

4 0

3 years ago

I don’t understand math

docker41 [41]

Answer:

it is y/5

Step-by-step explanation:

it says to transform it into an expression.

6 0

3 years ago

Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi

RSB [31]

Answer: $(0.273,\ 0.783)$

Step-by-step explanation:

Given : Total number of students who are asked to complete a survey anonymously : n= 240

Number of students

The proportion report that they have experienced bullying =54

Then , the proportion that students have experienced bullying = $p=\dfrac{54}{240}=0.225$

Significance interval : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

The confidence interval for the true proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.225\pm (1.96)\sqrt{\dfrac{(0.225)(1-0.225)}{240}}\\\\\approx0.225\pm0.0528\\\\=(0.255-0.528,\ 0.255+0.528)\\\\=(0.273,\ 0.783)$

8 0

3 years ago

the area of a rectangle with the width x-5 and the length x-12 is 44 square feet. what are the dimensions

Black_prince [1.1K]

Answer: 23

Step-by-step explanation:

7 0

3 years ago

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Vesnalui [34]

Answer:

Step-by-step explanation:

Just like the last time that you asked this question, when you multiply the x^2 part of the parabolic function by a certain coefficient, the graph is stretched by that amount. When you add a certain amount, the graph is shifted up that much. Hope this helps!

5 0

4 years ago