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antoniya [11.8K]
3 years ago
11

What does the line x = -5 look like? Horizontal vertical tilted right upwards or tilted right downwards

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer: Vertical Line

Step-by-step explanation: The line x = -5 is a vertical line at -5. All of the coordinates on the line have an x value of value, which results in a vertical line.

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A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean is x⎯⎯ = 770 and the
zhannawk [14.2K]

Answer:

For α=0.01 and two-tailed test: t=2.8188

For α=0.025 and two-tailed test: t=2.4055

For α=0.05 and two-tailed test: t=2.0739

For α=0.10 and two-tailed test: t=1.7171

Step-by-step explanation:

In this problem, we have to estimate the value of the statistic "t" of a sample of size n=23 (22 degrees of freedom), in which the sample mean is M=770 and the sample standard deviation is s=25.

The estimated standard deviation is

s_M=s/\sqrt{N}=25/\sqrt{23} =5.21

The critical values of the statistic t depends on the significance level:

The degree of freedom is known: df=22.

For α=0.01 and two-tailed test: t=2.8188

For α=0.025 and two-tailed test: t=2.4055

For α=0.05 and two-tailed test: t=2.0739

For α=0.10 and two-tailed test: t=1.7171

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<h2>○=> <u>Correct answer</u> :</h2><h2>\color{plum} = \tt\bold{30 \: cubic \: inches}</h2><h3>○=> <u>Steps to derive correct answer</u> :</h3>

Given :

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We know that :

\color{hotpink}\tt \: volume \: of \: a \: triangular \: pyramid\color{plum} \tt \: =  \frac{1}{3}Bh

Volume of the decorative pyramid :

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=\tt  \frac{90}{3}

\color{plum} =\tt 30 \:  {inches}^{3}

Therefore, the volume of the decorative pyramid with Ms. Jones = 30 inches³

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3 years ago
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