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ale4655 [162]
3 years ago
14

Evaluate the expression 2ab^3 + 6a^3 - 4ab^2 when a = 2 and b = 4.

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0
The answer is A) 176 
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Explain weather or not the two triangles below could lie on the same line. Be sure to use the slope of each triangle in your jus
KonstantinChe [14]

Answer:

No, these triangles cannot lie on the same line.

Step-by-step explanation:

For two triangles to lie on the same line they must have the same slope.

The slope of the bigger triangle is

m=\frac{rise}{run} =-\frac{18}{10} =-1.8

and the slope of the smaller triangle is

m=\frac{rise}{run} =-\frac{2}{3} =-0.67

slopes are negative because the triangles are leaning to the left.

We see that the slopes of the two triangles are not the same; therefore, they cannot lie on the same line.

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If the dot product of two nonzero vector v1 and v2 is zero, what dose this tell us
tino4ka555 [31]

It means that the two vectors are perpendicular or orthogonal

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Lavaughn owns a small business selling ice-cream. He knows that in the last week 56 customers paid cash, 14 customers used a deb
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Answer:

0.05

Step-by-step explanation:

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2 years ago
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Determining Whether a Difference Is Statistically
SCORPION-xisa [38]

Using the z-distribution, it is found that:

  • The 95% confidence interval is of -1.38 to 1.38.
  • The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.

<h3>What is the z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm zs

In which:

  • \overline{x} is the difference between the population means.
  • s is the standard error.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The estimate and the standard error are given by:

\overline{x} = 0, s = 0.69

Hence the bounds of the interval are given by:

\overline{x} - zs = 0 - 1.96(0.69) = -1.38

\overline{x} + zs = 0 + 1.96(0.69) = 1.38

1.74 is outside the interval, hence:

  • The 95% confidence interval is of -1.38 to 1.38.
  • The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ2

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2 years ago
How long will it take light to travel to Earth from the Sun according to the equation?
melomori [17]
Average of eight minutes and twenty seconds to travel from the sun to the earth
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