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3 years ago

What is the 8th term of the following geometric sequence? 3, 15, 75, 375, …

1 answer:

3 0

$a_1=3\\a_2=3\cdot5=15\\a_3=15\cdot5=75\\a_4=75\cdot5=375\\\vdots\\\\\text{The general term of a geometric sequence}\ a_n=a_1r^{n-1}\\\\a_1-first\ term\\r-common\ ratio\\\\a_1=3,\ r=5\\\\\text{substitute}\\\\a_n=3(5^{n-1})\\\\8th\ term\to a_8\\\\\text{Substitute}\ n=8\ \text{to the equation of}\ a_n:\\\\a_8=3(5^{8-1})=3(5^7)=3(78125)=234,375\\\\Answer:\ 8th\ term=234,375$

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what is an art and a science that deals with the collection,organization,creative presentation and analysis of data? A.physics B

DENIUS [597]

Answer:

The answer is B. Statistics

7 0

3 years ago

A representative of a car manufacturer in the United States made the following claim in a news report. "Ten years ago, only 53 p

Harman [31]

According to the p-value, the correct option regarding the decision of the test hypothesis is:

v. No, because 0.283 > 0.05.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, we test if the proportion is still of 0.53, that is:

$H_0: p = 0.53$

At the alternative hypothesis, we test if it has increased, that is:

$H_1: p > 0.53$ .

<h3>What is the decision according to the p-value?</h3>

If p-value > significance level, we do not reject the null hypothesis.

If p-value < significance level, we reject the null hypothesis.

In this problem, the p-value is of 0.283 > 0.05, hence there is not sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago, which means that option V is correct.

More can be learned about p-values at brainly.com/question/16313918

3 0

3 years ago

Use the graph to answer the question. Find the slope

Liula [17]

We can take the two points given and plug them into the slope formula.

$\sf~m=\dfrac{y_2-y_1}{x_2-x_1}$

(-3, 3), (1, -5)
x1 y1 x2 y2

$\sf~m=\dfrac{-5-3}{1-(-3)}$

Subtract:

$\sf~m=\dfrac{-8}{4}$

Divide:

$\sf~m=-2$

8 0

4 years ago

Given: P is a point on the perpendicular bisector, I of MN.<br> Prove: PM = PN

Hatshy [7]

Answer:

Step-by-step explanation:

I can't make specific statements about the proof because the midpoint is missing.

Givens

There are two right angles created by where the perpendicular bisector meats MN. Both are 90 degrees.

MN is bisected by the point on MN where the perpendicular meets MN

The Perpendicular Bisector is is common to both triangles.

Therefore the two triangles are congruent by SAS

PM = PN Parts contained in Congruent triangles are congruent.

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3 years ago

A birthday celebration meal is $ 47.40 including tax, but not the tip. Find the total cost if a 15% tip is added to the cost of

Afina-wow [57]

Answer:

$54.51

Step-by-step explanation:

an easier way to do this is simply by multiplying 47.40x115%, which is 54.51.

another way to do this is by multiplying 47.40x15%, which is 7.11, then you'll have to added to 47.4, which gives you the same answer of 54.51

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4 years ago