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Ksenya-84 [330]
3 years ago
11

Find the first, fourth, and eighth terms of the sequence. A(n) = –5 • 2n–1

Mathematics
1 answer:
GenaCL600 [577]3 years ago
8 0

Answer:

-5; -40; -640

Step-by-step explanation:

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A small island in the middle of a river is eroding away. Each year, the island has 85% of the area from the previous year. After
Serggg [28]

Answer:

see the attachment for a graph

4.53 thousand square yards remain after 6 years

Step-by-step explanation:

The area can be described by an exponential equation that multiplies the area by 0.85 when the time variable increases by 1 year. Such an equation might be ...

a(t) = 10.2·0.85^(t-1)

The graph of this is attached.

After 6 years, the equation predicts

a(6) = 10.2·0.85^(6-1) ≈ 4.53 thousand square yards

of island will remain.

4 0
3 years ago
What is the z-score of a data value that is 3 standard deviations to the left of the mean?
patriot [66]

Answer:

Step-by-step explanation:

look up z-table

3 std div. = 0.00135

4 0
3 years ago
You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether t
antiseptic1488 [7]

Answer:

The statistical conclusion is:

a) Your results are significant; one's willingness to wear masks is not independent of one's age.

Step-by-step explanation:

From this experiment,

The null hypothesis is established as:

H 0 = one's willingness to wear masks is independent of one's age.

The alternate hypothesis is established as:

H 1 = one's willingness to wear masks is not independent of one's age.

In statistics, if the absolute value of the test statistic is greater than the critical value, we declare statistical significance and reject the null hypothesis.

Since the test statistic = 16.5, which is higher than the critical value of 7.82, this establishes statistical significance.  Thus, the null hypothesis is rejected.

Therefore, the statistical conclusion is that one's willingness to wear masks is not independent of one's age.

7 0
3 years ago
The polynomial below is a perfect square trinomial of the form a2 - 2ab + b2
Angelina_Jolie [31]

This is a true statement. Here's how we know. The factors of that general formula are (ax - b)(ax - b). If that is in fact the general formula of the quadratic shown, then our a would be 2 and our b would be 3, since 2 times 2 is 4 which is the leading coefficient, and 3 times 3 is 9 which is the constant. Those factors, filled in accordingly, would be (2x - 3)(2x - 3). If we FOIL those out we should get back the quadratic in question. FOILing gives us

4x^2-6x-6x+9

which of course simplifies to

4x^2-12x+9

8 0
3 years ago
3/4(x+21)=10 1/2 help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Luba_88 [7]

Answer:

-7

Step-by-step explanation:

6 0
3 years ago
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