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3 years ago

Find the endpoint if A (5,-2) and the midpoint is B (3,6), what is C

Mathematics

1 answer:

Zinaida [17]3 years ago

3 0

Answer:

C = (1, 14 )

Step-by-step explanation:

The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.

Find the average of endpoints and equate to coordinates of midpoint

A (5, - 2 ) , let C = (x, y ) , then

$\frac{x+5}{2}$ = 3 ( multiply both sides by 2 )

x + 5 = 6 ( subtract 5 from both sides )

x = 1

and

$\frac{y-2}{2}$ = 6 ( multiply both sides by 2 )

y - 2 = 12 ( add 2 to both sides )

y = 14

Coordinates of C = (1, 14 )

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A town recently dismissed 9 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of ag

raketka [301]

Answer: 0.1340

Step-by-step explanation:

The binomial distribution formula is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The number of employees over 50 years of age =7

The probability of employees over 50 years of age = $\dfrac{7}{7+15}=0.318$

Number of dismissed employees : n= 9

Now, the required probability will be :

$P(x =1)=^{9}C_1(0.318)^{1}(1-0.318)^{9-1}\\\\=(9)(0.318)(1-0.318)^{8}=0.133950588714\approx0.1340$

Thus, the probability that exactly 1 employee was over 50 = 0.1340

3 0

3 years ago

If <img src="https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B2y%7D%7Ba%7D%20" id="TexFormula1" title=" x = \frac{2y}{a} " alt=" x

inessss [21]

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$\bf D) \\\\\\ \cfrac{12\left( \frac{2y}{a} \right)}{y}\implies \cfrac{\frac{24y}{a}}{y}\implies \cfrac{24y}{a}\cdot \cfrac{1}{y}\implies \cfrac{24}{a}\quad \otimes \\\\\\ E) \\\\\\ \cfrac{12y}{\left( \frac{2y}{a} \right)}\implies \cfrac{12y}{1}\cdot \cfrac{a}{2y}\implies 6a\quad \checkmark$

4 0

4 years ago

A website received 2500 registered members in July. And the number of registered members in August decreased to 2245. What was t

quester [9]

Number of registrations a website received during July = 2500

Number of registrations a website received during August = 2245

Number by which the registrations decreased :

$=\tt 2500 - 2245$

$=\tt 255$

Thus, the registrations decreased by 255.

Let x be the perrcentage of decrease.

Which means :

$=\tt 255 = \frac{x}{100} \: of \: 2500$

$= \tt255 = \frac{x \times 2500}{100}$

$=\tt 255 = \frac{2500x}{100}$

$= \tt255 \times 100 = 2500x$

$= \tt25500 = 2500x$

$=\tt \frac{25000}{2500} = x$

$\color{plum} =\tt \bold{10.2\%}$

▪︎Thus, the percentage of decrease in the number of registered members = 10.2%

5 0

3 years ago

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let m represent

finlep [7]

Answer:

3.95(3) + 8.95b = 47.65

11.85 + 8.95b = 47.65

Subtract 11.85 from both sides.

8.95b = 35.8

Divide 8.95 from both sides.

b = 4

Hugh bough 4 books.

Step-by-step explanation:

3.95(3) + 8.95b = 47.65

11.85 + 8.95b = 47.65

Subtract 11.85 from both sides.

8.95b = 35.8

Divide 8.95 from both sides.

b = 4

Hugh bough 4 books.

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3 years ago

Would a yardstick be reasonable to measure the length of a canoe paddle

pishuonlain [190]

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4 years ago