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2 years ago

In JKL and PQR, if JK = PQ, congruent to PQR. True or False

Mathematics

1 answer:

Kaylis [27]2 years ago

7 0

Answer:

True

Step-by-step explanation:

Two shapes are congruent if when turning, flipping or sliding one shape it can become another.

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How do I solve 4[2.5 + 3 (20 + 7)] ?

DerKrebs [107]

$4[2.5+3(20+7)]=4[2.5+3 \cdot 27]=4[2.5+81]=4 \cdot 83.5=334$

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3 years ago

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Triangle JKL is dilated by a scale factor of 5 to form triangle J'K'L'. Side K'L'

nikdorinn [45]

13, I believe? Sorry if you get it wrong

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2 years ago

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elena-s [515]

Answer:

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2 years ago

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand

viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 20\\H_A: \mu < 20$

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

Formula:

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

Putting all the values, we have

$z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

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3 years ago

Complete the patterns of the equivalent ratios by filling in the gaps.

gayaneshka [121]

21:3
9:3
3:1

there all a 3:1 ratio

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2 years ago