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3 years ago

Alternate exterior angles are congruent.

Mathematics

1 answer:

Lemur [1.5K]3 years ago

3 0

Answer:

<1 = <8

Step-by-step explanation:

An angle that will form a pair of alternate exterior angles with <1 will be the angle that is found outside of the parallel lines but on the opposite side of the transversal that cuts across the two parallel lines.

<8 is an exterior angle, and also is alternate angle to <1. It forms a pair of alternate exterior angles pair with <1.

Therefore, <1 = <8

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Answer:

135

Step-by-step explanation:

simply You're asked 15% of 900 so

900 x 15/100 =135

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3 years ago

Turn 17 out 20 into a percent

katrin2010 [14]

Answer:

85%

Step-by-step explanation:

$\frac{17}{20} \times \frac{100}{1} \\ = 85\%$

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3 years ago

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Rama09 [41]

Answer:

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3 years ago

Factorise x^2 - 7 Please help :)

sergey [27]

Answer:

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Step-by-step explanation:

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3 years ago

Consider the following hypothesis test:H 0: = 17H a: 17A sample of 40 provided a sample mean of 14.12. The population standard d

Nonamiya [84]

Answer:

We conclude that the population mean is not equal to 17.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 17

Sample mean, $\bar{x}$ = 14.12

Sample size, n = 40

Alpha, α = 0.05

Population standard deviation, σ = 4

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 17\\H_A: \mu \neq 17$

We use Two-tailed z test to perform this hypothesis.

a) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{14.12 - 17}{\frac{4}{\sqrt{40}} } = -4.5536$

b) P-value can be calculated from the standard z-table.

P-value = 0.0000

c) Since the p-value is less than the significance level, we reject the null hypothesis and accept the alternate hypothesis. Thus, the population mean is not equal to 17

d) Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

e) Rejection Rule:

We reject the null hypothesis if it is less than lower critical value and greater than the upper critical value

If the z-statistic lies outside the acceptance region which is from -1.96 to +1.96, we reject the null hypothesis.

f) Since the calculated z-stat lies outside the acceptance region, we reject the null hypothesis and accept the alternate hypothesis. Thus, the population mean is not equal to 17.

4 0

3 years ago