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3 years ago

X=6 y=2x-3 i’m doing Solve Systems of Equations by Substitution.

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

5 0

Y=9
because y=2•6-3
2x6=12
12-3=9

Oksana_A [137]3 years ago

4 0

y=9

Step-by-step explanation:

y=2(6)-3

y=12-3

y=9

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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.

5 0

4 years ago

Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie , how many cups of pineapple juice

chubhunter [2.5K]

we know that

Francine uses $2/3$ cup of pineapple juice for every $1/3$ cup of orange juice to make a smoothie

by proportion

Find the number of cups of pineapple for one cup of orange juice

$\frac{(2/3)}{(1/3)} \frac{cups\ pineapple}{cups\ orange} =\frac{x}{1} \frac{cups\ pineapple}{cups\ orange}\\ \\x*(1/3)=(2/3) \\ \\x=2\ cups\ pineapple$

therefore

<u>the answer is</u>

$2\ cups\ pineapple\ juice$

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4 years ago

Read 2 more answers

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zloy xaker [14]

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4 years ago

a piece of paper is 0.0075 in thick how many sheets of paper will be in a stack that is 2.25 inches high

boyakko [2]

Answer:

300

Step-by-step explanation:

That would be 2.25 / 0.0075

= 300

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3 years ago

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