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3 years ago

Write an equation of a line in Slope Intercept from that passes through the points (3, -2) and 1,4

1 answer:

6 0

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{4}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-(-2)}{1-3}\implies \cfrac{4+2}{1-3}\implies \cfrac{6}{-2}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-2)=-3(x-3) \\\\\\ y+2=-3x+9\implies y=-3x+7$

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Lucy had math and reading homework tonight. Lucy can solve each math problem in 5 minutes and she can read each page in 2.5 minu

drek231 [11]

Answer:

$x=18,y=6$ , graph is there for reference.

Step-by-step explanation:

Given,

$x$ is the number of math problem Lucy solved.

$y$ is the number of pages she read.

She can do each math problem in $5$ minutes, therefore she can solve $x$ number of questions into $5 \times x=5x$ minutes.

She can read each page in $2.5$ minutes, therefore she can read $y$ pages in 2.5y minutes.

As per given detail,

$5x+2.5y=105$ equation 1.

And,

It is given that number of math problems Lucy solved is 3 times the number of pages she read.

$x=3y$ equation 2.

We need to find $x$ and $y$ intercept of each of the equation to graph them.

For $x-intercept$ put y=0

We will get $x=\frac{105}{5} =21$

Thus the point is $(21,0)$

Let us find $y-intercept$ by assuming $x=0$

we get $y=\frac{105}{2.5} =42$

Thus the point is $(42,0)$

Join these two points.

Similarly considering the other equation $x=3y$

Here x-intercept would be at $y=0$

We will get $x=0$

Thus the point is $(0,0)$

Let us assume on more point, say $x=30$ , we get $y=10$

Thus the point is $(30,10)$

Join these two points.

We will get a point of intersection at $(18,6)$

Thus $x=18$ and $y=6$

8 0

4 years ago

Refer to the accompanying technology display. The probabilities in the display were obtained using the values of n equals n=5 an

zubka84 [21]

Answer:

Yes, it is reasonable to expect that more than one subject will experience headaches

Explanation:

Notice that where it says "assume that 55 subjects are randomly selected ..." there is a typo. The correct statement is "assume that 5 subjects are randomly selected ..."

You are given the table with the probability distribution, assuming, correctly, the binomial distribution with n = 5 and p = 0.732.

p = 0.732 is the probability of success (an individual experiences headaches).
n = 5 is the number of trials (number of subjects in the sample).

The meaning of the table of the distribution probability is:

The probability that 0 subjects experience headaches is 0.0014; the probability that 1 subject experience headaches is 0.0189, and so on.

To answer whether it is reasonable to expect that more than one subject will experience headaches, you must find the probability that:

X = 2 or X = 3 or X = 4 or X = 5

That is:

P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5).

That is also the complement of P(X = 0) or P(X = 1)

1 - P(X = 0) - P(X = 1)

From the table:

P(X = 0) = 0.0014
P(X = 1) = 0.0189

Hence:

1 - P(X = 0) - P(X = 1) = 1 - 0.0014 - 0.0189 = 0.9797

That is very close to 1; thus, it is highly likely that more than 1 subject will experience headaches.

In conclusion, yes, it is reasonable to expect that more than one subject will experience headaches

6 0

3 years ago

Suppose It takes 6.4 pounds of seed to completely plant one acre of land. Joe has 18.5 acres of land. Find the amount of seed he

leonid [27]

$\begin{array}{ccll} lbs&acre\\ \cline{1-2} 6.4&1\\ x&18.5 \end{array}\implies \cfrac{6.4}{x}=\cfrac{1}{18.5}\implies (6.4)(18.5)=x\implies 118.4=x$

4 0

2 years ago

Which property of multiplication is used in the multiplication below?

olasank [31]

Zero property because you are using zeros to multiply

4 0

3 years ago

A class of students raised $1,000 for charity Tyler raised $28

Leya [2.2K]

Answer:

44 dollars

Step-by-step explanation:

28 minus 5 is 23

67 minus 23 is 44

6 0

4 years ago

Read 2 more answers