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3 years ago

What is the midpoint of the long segment with endpoints (-2,-2) and(4,6)

Mathematics

1 answer:

Zarrin [17]3 years ago

7 0

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

We have the points (-2, -2) and (4, 6). Substitute:

$\x=\dfrac{-2+4}{2}=\dfrac{2}{2}=1\\\\y=\dfrac{-2+6}{2}=\dfrac{4}{2}=2$

<h3>Answer: (1, 2).</h3>

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there are 10 less trumpet players than saxophone players the number saxophone players is three times the number of trumpet playe

Oduvanchick [21]

T= trumpets

S= saxophones

T= s-10

S= 3t

Solve for t first in first equation by substituting the second equation into the first equation like this .

T=3t-10

T-3t=10

-2t=10

T=10/-2

T=5

Now substitute your t answer to second equation to find s .

S=3(5)

S=15

So you have 5 trumpets and 15 saxophones .

I hope this helps

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3 years ago

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Meteorologists look for weather trends across US states in the same geographical region. Kentucky and Illinois share a border. T

olya-2409 [2.1K]

The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

We have to evaluate the measures of center.

Firstly, we will calculate the mean.

Mean = (Sum of all the observations)/ (Total number of observations)

Mean = $\frac{57.5+55.1+52.2+55.6+55.6+54.4+54.5+58.3+57.3+55.7}{10}$

= $\frac{556.2}{10}$

= 55.62

Now, we will calculate mode.

Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.

Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.

Mode = 55.6

Now, we will calculate the median.

Firstly, we will arrange in the ascending order.

52.2, 54.4, 54.4,55.1 ,55.6, 55.6, 55.7, 57.3, 57.5, 58.3

Since there are 10 terms.

Median = $\frac{n}{2}$ th observation

Median = 5th observation.

Since, the 5th observation is 55.6.

Therefore, the median is 55.6

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4 years ago

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If a data value in a normal distribution has a negative z-score, which of the following must be true?

Tamiku [17]

<span>The data value must be less than the mean.</span>

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4 years ago

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Lex was chatting with his friends thomas and mike. He was wondering how much it will cost him to take a taxi from his house to w

UNO [17]

Answer:

$28.3

Step-by-step explanation:

x=rate for 1km

y=initial fee

Mike: $35 for 15km -> 35 = 15x + y

Thomas: $24.50 for 10km -> 24.50 = 10x + y

Using those two equations we see the following:

Mike paid $10.5 more for 5 more km. The initial fee remains unchanged, so we can calculate the rate for 1km, which is 10.5/5=2.1.

35 = 15x + y

24.50 = 10x + y

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Using that value with one of the original equations we can calculate the initial fee.

35 = 15x + y

35 = 15*2.1 + y

35 = 31.5 + y

3.5 = y

Mike paid 15*2.1=31.5 ($2.1 for every km) plus the initial fee, his total was $35.

We subtract the 31.5 from the 35(total) and get the initial fee, which is $3.5.

Km travelled times 2.1 (the rate for 1km) plus 3.5 (the initial fee).

12*2.1 + 3.5 = 28.3

Lex will pay $28.3 for the same taxi company to travel 12 km.

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Answer:

Step-by-step explanation:

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