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2 years ago

Select the correct answer.

1 answer:

6 0

In the construction of the equilateral triangle EFG inscribed in a circle, Chase can find points F and G as D. Points F and G are points of intersection of two congruent circles centered at D and E.

<h3>What is an equilateral triangle?</h3>

It should be noted that an equilateral triangle simply means a triangle that has all the sides and angles to be equal.

After drawing the diameter of the circle through the center, it's important to open the compass to a width that's equivalent to the radius the circle.

In this case, it can be deduced that Points F and G are points of intersection of two congruent circles centered at D and E.

Learn more about triangles on:

brainly.com/question/17335144

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The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

melamori03 [73]

Answer:

We conclude that the mean wedding cost is less than $30,000 as advertised.

Step-by-step explanation:

We are given the following data set:(in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{236100}{8} = 29512.5$

Sum of squares of differences = 3408750

$S.D = \sqrt{\frac{3408750}{7}} = 697.82$

Population mean, μ = $30,000

Sample mean, $\bar{x}$ = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $ 697.82

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

Now,

$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it.

We conclude that the mean wedding cost is less than $30,000 as advertised.

8 0

4 years ago

The position of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be

salantis [7]

Solving the system of equations, it is found that a viable time that the trains are side by side is given by:

B. 15 sec

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

$y = 14t^2$

$y = 130t + 1200$

They will be side by side when:

$14t^2 = 130t + 1200$

$14t^2 - 130t - 1200 = 0$

It's solution is a quadratic function with coefficients a = 14, b = -130, c = -1200, hence:

$\Delta = (-130)^2 - 4(14)(-1200) = 84100$

$x_1 = \frac{130 + \sqrt{84100}}{28} = 15$

$x_2 = \frac{130 - \sqrt{84100}}{28} = -5.71$

Time is a non-negative measure, hence option B is correct.

More can be learned about a system of equations at brainly.com/question/24342899

5 0

2 years ago

Which of these numbers is irrational?

saw5 [17]

Sqrt16=4
sqrt2=irrational (meaning nevereneding and never repeating)
sqrt9=3
sqrt49=7

answer is B

6 0

3 years ago

Read 2 more answers

Find the whole using the percent proportion.

MAVERICK [17]

Answer:390

Step-by-step explanation:

130% of a=507

130/100 x a=507

13/10 x a=507

13a/10=507

Cross multiplying we get

13a=507x10

13a=5070

Divide both sides by 13

13a ➗ 13=5070 ➗ 13

a=390

3 0

3 years ago

A quarterback is sacked for a loss of 5 yards. On the next play, his team loses 15 yards. Then the team gains 12 yards on the th

liubo4ka [24]

The answer is a because a loss is negative

6 0

3 years ago