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4 years ago

The sum of the interior angle measures

Mathematics

1 answer:

Effectus [21]4 years ago

6 0

The angle A is 84 grades
The angle B is 112 grades
The angle C is 136 grades
The angle D is 28 grades

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Snade level courses & distance learning resources (también en español). Want to help us to

krek1111 [17]

I don’t want you going on a trip with x+2-1 coordinate of Q

7 0

3 years ago

Clothing sizes are not standardized across brands. Suppose that a large study of women's size 14 jeans revealed that the mean hi

kenny6666 [7]

Using the z-distribution, we have that:

The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.

The margin of error is of 0.8 in.

The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.

The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the sum of all observations divided by the number of observations. Hence:

$\overline{x} = \frac{44.5+43.0+46.6+42.9+43.7+43.9+42.4+43.2+43.1+44.4+46.1+44.7+44.4+43.9+44.7}{15} = 44.1$

The margin of error of a z-confidence interval is given by:

$M = z\frac{\sigma}{\sqrt{n}}$

In which:

z is the critical value.
$\sigma$ is the population standard deviation.
n is the sample size.

We have to find the critical value, which is z with a p-value of $\frac{1 + \alpha}{2}$ , in which $\alpha$ is the confidence level.

In this problem, $\alpha = 0.99$ , thus, z with a p-value of $\frac{1 + 0.99}{2} = 0.995$ , which means that it is z = 2.575.

Then, the margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 2.575\frac{1.2}{\sqrt{15}}$

$M = 0.8$

The margin of error is of 0.8 in.

The interval is:

$\overline{x} \pm M$

$\overline{x} - M = 44.1 - 0.8 = 43.3$

$\overline{x} + M = 44.1 + 0.8 = 44.9$

The interpretation is:

Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.

A similar problem is given at brainly.com/question/25300297

6 0

3 years ago

7/8, 3/10 whats the common denominator

Ivahew [28]

The common denominator is 40.

3 0

4 years ago

Read 2 more answers

Find the solution of ×\2-1/5=×\3+1/4 please help me with this

ale4655 [162]

Answer:

$x=\frac{27}{10}$

Step-by-step explanation:

Assuming that the beginning equation is $\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}$

First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator

$\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}$

Now, we can multiply each side by 60, which will remove the fractions

$30x-12=20x+15$

Now we can add 12 to each side

$30x=20x+27$

Now subtract 20x from each side

$10x=27$

And lastly, divide each side by 10

$x=\frac{27}{10}$

4 0

3 years ago

A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.

Rus_ich [418]

Answer:

y = 2*x + 4

Step-by-step explanation:

We know that a linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

So, here we know that our line must pass through the points (-2,0) and (0, 4)

Then the slope of this line is:

a = (4 - 0)/(0 - (-2))

a = 4/2 = 2

Then our line is something like:

y = 2*x + b

Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.

0 = 2*(-2) + b

0 = -4 + b

4 = b

Then the equation for our line is:

y = 2*x + 4

6 0

3 years ago