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3 years ago

HELP ME !!!!!! instruction given the quadrilateral ABCD inscribed in the circle, find x and y

Mathematics

1 answer:

grin007 [14]3 years ago

5 0

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚

So using theorem we find that

∠A+∠C = 180

x + 108 = 180

x = 180 - 108

x = 72

∠B+∠D = 180

88 + y = 180

y = 180 - 88

y = 92

Answered by Gauthmath must click thanks and mark brainliest

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The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system.

Andrew [12]

Answer:

x = -5; y = 4, z = 1

Step-by-step explanation:

Given the row echelon form as:

$\left[\begin{array}{cccc}1&0&\ \ 4|&-1\\0&1&-1|&3\\0&0&\ \ 1|&1\end{array}\right]$

This matrix can be represented as:

$\left[\begin{array}{ccc}1&0&4\\0&1&-1\\0&0&1\end{array}\right]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right] \\\\Performing\ matrix\ multiplication\ gives:\\\\\left[\begin{array}{c}x+4z\\y-z\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right]$

Therefore:

z = 1

y - z = 3;

y = 3 + z = 3 + 1 = 4.

Hence, y = 4

x + 4z = - 1;

x = -1 - 4z = -1 - 4(1) = -5

x = -5

4 0

3 years ago

Use the given information to find the p-value. Also, use a 0.05 significance level and state the conclusion about the null hyp

faltersainse [42]

Answer:

$p_v =P(z>1.34)=1-P(z$

Step-by-step explanation:

1) Data given and notation n

n represent the random sample taken

Xrepresent the people with a characterisitc in the sample

$\hat p$ estimated proportion of people with the characteristic desired

$p_o=0.554$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the population proportionis higher than 0.554.:

Null hypothesis: $p\leq 0.554$

Alternative hypothesis: $p > 0.554$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

The value of the statisitc is already calculate and given:

$z=1.34$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a one right tailed test the p value would be:

$p_v =P(z>1.34)=1-P(z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we don't have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly higher than 0.554 .

3 0

3 years ago

50 points!

DENIUS [597]

Answer:

The right graph is the first one (figure attached).

Note that in a Speed vs Time graph, the constant speed is represented by a line with slope=0 (for example, segment 1), when the speed increases the slope is positive (for example, segment 2) and when the speed decreases the slope is negative (for example, segment 4).

Now, if we want to prove this, let’s read again the problem, dividing each section of the path Marc drove to his work (see figure attached):

1. He slowly pulls out of his driveway at a constant speed

2. and then his speed increases steadily

3. until he reaches the speed limit. He uses cruise control to drive the speed limit (he drives at constant speed)

4. until he comes upon some traffic (usually if you find some traffic you have to derease your spped)

5. He then slows down to a new constant speed.

6. When he gets near his office, his speed steadily decreases until he comes to a stop right in front of his office building (at this point the speed is zero)