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2 years ago

Mixed Review Available Online

Mathematics

1 answer:

gogolik [260]2 years ago

5 0

The correct classifications are:

<1 = <3 (corresponsing angle)
<1 = <6 (vertically opposite angle)
<1 = <8 (vertically opposite)
<2 = <4 (corresponding angle)

<2 = <5 (vertically opposite)

< 2 = <7 (vertcally opposite)

The point where two line meets or intersects is known as an angle.

From the diagram shown, we can see that line p is parallel to q, this shows that:

<1 = <3 (corresponsing angle)
<1 = <6 (vertically opposite angle)
<2 = <4 (corresponding angle)
<2 = <5 (vertically opposite)

Since <1 = <3, hence:

<1 = <8 (vertically opposite)

Since < 2 = <4

<2 = <4 = <7 (vertically opposite)

Note that the angle formed from the intersection of two lines that form X are vertically opposite angles

Corresponding angles are equal based on the geometry of the parallel lines

Learn more here: brainly.com/question/18197430

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victus00 [196]

Answer:

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Step-by-step explanation:

6 0

3 years ago

A local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. In o

Eduardwww [97]

Answer:

(A) $H_0$ : μ = 22 ; $H_A$ : μ ≠ 22

(B) Value of the test statistic = -2.69

Step-by-step explanation:

We are given that a local bottler in Hawaii wishes to ensure that an average of 22 ounces of passion fruit juice is used to fill each bottle. He takes a random sample of 65 bottles. The mean weight of the passion fruit juice in the sample is 21.54 ounces. Assume that the population standard deviation is 1.38 ounce.

We have to test the accuracy of the bottling process.

(A) Let, NULL HYPOTHESIS, $H_0$ : $\mu$ = 22 ounces {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

ALTERNATE HYPOTHESIS, $H_A$ : $\mu \neq$ 22 ounces {means that an average of 22 ounces of passion fruit juice is used to fill each bottle}

The test statistics that will be used here is One-sample z-test;

T.S. = $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean weight of the passion fruit juice = 21.54 ounces

$\sigma$ = population standard deviation = 1.38 ounces

n = sample of bottles = 65

(B) So, test statistics = $\frac{21.54-22}{\frac{1.38}{\sqrt{65} } }$

= -2.69

Hence, the value of test statistics is -2.69.

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3 years ago

Is the function shown in the graph one-to-one?

Cloud [144]

Answer:

yes

Step-by-step explanation:

The graph is of a function (one output for every input) that also passes the horizontal line test (one input for every output). Hence it is one-to-one.

For a function, the key for it being one-to-one is that it pass the horizontal line test.