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4 years ago

The coordinates of point T are given. The midpoint of line ST is (5,-8). Find the coordinate of point S if T is (5,-15)

1 answer:

8 0

The easiest way to approach this problem would be to graph it. However, since I cannot do that, I will explain how to find the coordinate over writing. So, take note that the midpoint is at x=5 and the point T is at x=5. This shows that the line in which we are looking at is vertical. So we already know the x coordinate of S. (5,y)
Now, the midpoint is the point directly in the middle of 2 points. We need to find the distance from the midpoint to one of the points.
From -8 ---> -15. This is 7 units down from the midpoint. The other point S would be 7 units up from the midpoint.
-8 ----> -1. The coordinates of point S is (5, -1)
I hope this helps :-)

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A certain school district has specified 5 different novels and 4 different non-fiction books from which teachers can choose to a

shutvik [7]

Answer:

There are 60 different summer reading lists possible.

Step-by-step explanation:

A certain school district has specified 5 different novels and 4 different non-fiction.

Each summer reading list must have exactly 3 novels and 2 non-fiction books.

So, the number of different summer reading lists that are possible is given by:

$5C3\times 4C2$

= $\frac{5!}{3!2!} \times\frac{4!}{2!2!}$

= $10\times6=60$

Hence, there are 60 different summer reading lists possible.

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3 years ago

A football field is a rectangle where the length is 100 yards. If the total perimeter is 1040 feet, what is the

AleksandrR [38]

Answer:

Step-by-step explanation:

The width is 220 feet.

100 yards = 300 feet

300 x 2 = 600

1040-600 = 440

Since you have 2 equal sides representing the width 440/2 = 220

Check it by adding all sides to get perimeter:

220+220+300+300= 1040

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3 years ago

In a recent Super Bowl, a TV network predicted that 25 % of the audience would express an interest in seeing one of its forthcom

AleksAgata [21]

Answer:

The right solution is "-8.25".

Step-by-step explanation:

The given values are:

Sampled people,

n = 150

Null and alternative hypotheses will be:

$H_0:p=0.53$

$Ha:p\neq 0.53$

The z-statistics will be:

⇒ $z=\frac{\bar{p}-p_0}{\sqrt{\frac{p_0(1-p_0)}{n} } }$

On substituting the values, we get

⇒ $=\frac{0.2-0.53}{\sqrt{\frac{0.53(1-0.53)}{150} } }$

⇒ $=\frac{-0.33}{\sqrt{\frac{0.24}{150}} }$

⇒ $=\frac{-0.33}{0.04}$

⇒ $=-8.25$

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3 years ago

When divided by 3 I am 700 when divided by 7 I 300 what number am I

Gala2k [10]

It is 2100

700*3=2100

7*300=2100

There you go.

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3 years ago

Parvana record's the transactions for her bank account for the week . On Monday, she made a deposit of $45. On Tuesday she used

Andrews [41]

Answer:

The correct answer is +45; -18; -7.

Step-by-step explanation:

Parvana records the transactions for her bank account for the week .

On Monday, Parvana deposited $45. Thus Parvana made an addition of $45 in her account. Therefore a +45 integer is used to represent this transaction into her account.

On Tuesday she used her debit card to $18 for a new shirt. Thus Parvana made a deduction of $18 from her account. Therefore a -18 integer is used to represent this transaction into her account.

On Thursday she withdrew $7 from an ATM. Thus Parvana made a deduction of $7 from her account. Therefore a -7 integer is used to represent this transaction into her account.

Thus the integers +45; -18 and -7 are used to represent transactions in Parwana's account.

6 0

3 years ago