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3 years ago

The midpoint of the coordinates (4, 10) and (13,3) is __.

Mathematics

2 answers:

Leya [2.2K]3 years ago

7 0

Answer:

B. (8.5, 6.5)

Step-by-step explanation:

<u>Use midpoint formula to find the coordinates of the midpoint:</u>

x = (4 + 13)/2 = 17/2 = 8.5
y = (10 + 3)/2 = 13/2 = 6.5

Correct choice is B

Dima020 [189]3 years ago

7 0

$\\ \sf\longmapsto P(x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$\\ \sf\longmapsto P(x,y)=\left(\dfrac{4+13}{2},\dfrac{10+3}{2}\right)$

$\\ \sf\longmapsto P(x,y)=\left(\dfrac{17}{2},\dfrac{13}{2}\right)$

$\\ \sf\longmapsto P(x,y)=(8.5,6.5)$

Option B is correct

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Which comparison is not correct?

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3 years ago

Read 2 more answers

Riya took a train from his hometown to Mumbai . The journey lasted for 3 hrs 35 minutes . The train reached the station at 9:15

zhenek [66]

Answer: 5:40 am

Step-by-step explanation:

The train reached the station at 9:15 am after having travelled for 3 hrs 35 minutes.

The time the train departed from Riya's hometown was the time it arrived in Mumbai station less the time taken to travel:

= 9:15 - 3:35

First deduct the 3 hours:

= 9:15 - 3

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Remove the 35 minutes by first removing the 15 minutes

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7 0

3 years ago

Final exam scores are normally distributed with a mean of 74 and a standard deviation of 6. Approximately, what percentage of fi

notka56 [123]

Answer:

81.86%

Step-by-step explanation:

We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.

First of all we will find z-score using z-score formula.

$z=\frac{x-\mu}{\sigma}$

$z=\frac{68-74}{6}$

$z=\frac{-6}{6}=-1$

Now let us find z-score for 86.

$z=\frac{86-74}{6}$

$z=\frac{12}{6}=2$

Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.

Using normal distribution table we will get,

$P(-1$

$P(2>Z)=.97725$

We will use formula $P(a$ to find the probability to find that a normal variable lies between two values.

Upon substituting our given values in above formula we will get,

$P(-1$

Upon converting 0.81859 to percentage we will get

$0.81859*100=81.859\approx 81.86$

Therefore, 81.86% of final exam score will be between 68 and 86.

3 0

3 years ago

What is x in 8 ^ (x - 1 ) = 16 ?<br><br>Please help.

Anna007 [38]

Answer:

x=7/3

Step-by-step explanation:

8 ^ (x - 1 ) = 16

We need to rewrite 8 as 2^3 and 16 as 2^4

2^3 ^ (x - 1 ) = 2^4

We know that a^b^c = a^(b*c)

2^(3(x-1)) = 2^4

The bases are the same so the exponents are the same

3(x-1) = 4

Distribute

3x-3 = 4

Add 3 to each side

3x-3+3 = 4+3

3x = 7

Divide by 3

3x/3 = 7/3

x=7/3

4 0

3 years ago