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3 years ago

Find the midpoint of the segment with the following endpoints. (7,-6) and (4, -10)

Mathematics

1 answer:

Firlakuza [10]3 years ago

8 0

Answer:

(5.5,-8)

Step-by-step explanation:

(7 + 4)/2 = 5.5

(-6 + -10)/2 = -8

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Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time.

kenny6666 [7]

Answer:

No, the on-time rate of 74% is not correct.

Solution:

As per the question:

Sample size, n = 60

The proportion of the population, P' = 74% = 0.74

q' = 1 - 0.74 = 0.26

We need to find the probability that out of 60 trains, 38 or lesser trains arrive on time.

Now,

The proportion of the given sample, p = $\frac{38}{60} = 0.634$

Therefore, the probability is given by:

$P(p\leq 0.634) = [\frac{p - P'}{\sqrt{\frac{P'q'}{n}}}]\leq [\frac{0.634 - 0.74}{\sqrt{\frac{0.74\times 0.26}{60}}}]$

P $(p\leq 0.634) = P[z\leq -1.87188]$

P $(p\leq 0.634) = P[z\leq -1.87] = 0.0298$

Therefore, Probability of the 38 or lesser trains out of 60 trains to be on time is 0.0298 or 2.98 %

Thus the on-time rate of 74% is incorrect.

6 0

3 years ago

Find an equation of the line with an undefined slope and passes through the point (3, -4).

Hatshy [7]

Undefined means it goes through the x intercept, x=3

6 0

3 years ago

What is the center of a circle represented by the equation x92y62102

andreev551 [17]

The center of the circle is (-9, -6).

What is the center of the circle?

A circle's center is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

Here, we have

The equation of a circle is written as:

(x - h)² + (y - k)² = a²

Where (h, k) is the center and a is the radius of the circle.

Where (h, k) is the center and a is the radius of the circle.

(x + 9)² + (y + 6)² = 10² (Given)

From the equation, the center of the circle is (-9, -6)

The radius of the circle is 10.

In general form, the equation can be written as

x² + 18x + 81 + y² + 12y + 36 = 100

x² + y² + 18x + 12y + 17 = 0

Hence, the center of the circle is (-9, -6).

To learn more about the center of the circle from the given link

brainly.com/question/25938130

#SPJ4

8 0

1 year ago

If the rat moves through the maze randomly, out of 100 attempts, how many times would you expect Romeo to end up in room A? How

yuradex [85]

50 and 50 because half of 100 is 50 and 50

3 0

3 years ago

PLSSSS HELLPPPP MEEEEE I WILLL GIVEEE BRAINLIESSSTTT!!!!

earnstyle [38]

Answer:

$\displaystyle m=3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (6, 8)

Point (5, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]: $\displaystyle m=\frac{5-8}{5-6}$
[Fraction] Subtract: $\displaystyle m=\frac{-3}{-1}$
[Fraction] Divide: $\displaystyle m=3$

6 0

3 years ago

Read 2 more answers

Find the midpoint of the segment with the following endpoints. (7,-6) and (4, -10)​

Find the midpoint of the segment with the following endpoints. (7,-6) and (4, -10)