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3 years ago

Which ordered pair is a solution to the system?

2 answers:

6 0

X + 4 y = 19
y = - 2 x - 4
------------------
x + 4 * ( - 2 x - 4 ) = 19
x - 8 x - 16 = 19
- 7 x = 29 + 16
- 7 x = 35
x = 35 : ( - 7 )
x = - 5
y = 10 - 4
y = 6
Answer:
A ) ( - 5 , 6 )

Galina-37 [17]3 years ago

5 0

The solution is A. (-5,6)

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Answer:

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Step-by-step explanation:

We are given the following in the question:

Population mean, μ =5.5 ounces

Sample mean, $\bar{x}$ = 5.23 ounces

Sample size, n = 64

Alpha, α = 0.05

Sample standard deviation, σ = 0.24 ounce.

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 5.5\text{ ounces}\\H_A: \mu < 5.5\text{ ounces}$

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

Formula:

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

Putting all the values, we have

$z_{stat} = \displaystyle\frac{5.23 - 5.5}{\frac{0.24}{\sqrt{64}} } = -9$

Now, $z_{critical} \text{ at 0.05 level of significance } =-1.645$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that cheddar popcorn weighed less than 5.5 ounces.

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