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3 years ago

5

What is the answer to m^7 · m^−3?

1 answer:

elena55 [62]3 years ago

8 0

Answer:

M^4

Step-by-step explanation:

Here use product law which state- same base power should add

M^7-3

M^4

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Suppose you take a 15 question True or False quiz and you guess on every problem. You only get 3 correct. (a) What is the probab

lana66690 [7]

Answer:

0.648

No, that is not an unusually low number of correct guesses.

Step-by-step explanation:

Suppose you take a 15 question True or False quiz and you guess on every problem. You only get 3 correct. Then

$p=\dfrac{3}{15}=\dfrac{1}{5}=0.2$ - correct;
$q=1-p=1-0.2=0.8$ - o\incorrect.

The probability of getting 3 or fewer correct guesses is

$P(\text{3 or fewer})\\=P(0)+P(1)+P(2)+P(3)\\ \\=C^{15}_0p^0q^{15-0}+C^{15}_1p^1q^{15-1}+C^{15}_2p^2q^{15-2}+C^{15}_3p^0q^{15-3}\\ \\=1\cdot q^{15}+15pq^{14}+105p^2q^{13}+455p^3q^{12}\\ \\=(0.8)^{15}+15\cdot 0.2\cdot (0.8)^{14}+105\cdot (0.2)^2\cdot (0.8)^{13}+455\cdot (0.2)^3\cdot (0.8)^{13}\\ \\\approx 0.648$

Using the criteria that a number 3 is unusually low if P(3 or fewer) ≤ 0.05, we can state that 3 is not an unusually low number of correct guesses.

5 0

3 years ago

Which of the following are true statements? Select all that apply.

Gennadij [26K]

Since sine and cosecant are reciprocals, when one has a maximum the other has a minimum and vice versa.

That's choices B & D

Not sure what the question at the end is asking; at 90 degrees and also at -90 degrees the values of sine and cosecant are equal.

3 0

3 years ago

Read 2 more answers

GIVING BRAINLIEST Try the numbers 4, 5, 6, 7 in the equation 6 ⋅ x + 5 = 12 + 5 ⋅ x

Harrizon [31]

<h3>6 is a solution to equation 6x + 5 = 12 + 5x</h3>

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

6x + 5 = 12 + 5x

Try the numbers 4, 5, 6, 7 in the equation to test whether any of them is a solution

<em><u>Substitute x = 4</u></em>

6(4) + 5 = 12 + 5(4)

24 +5 = 12 + 20

$29 \neq 32$

Thus 4 is not a solution

<em><u>Substitute x = 5</u></em>

6(5) + 5 = 12 + 5(5)

30 + 5 = 12 + 25

$35\neq 37$

Thus 5 is not a solution

<em><u>Substitute x = 6</u></em>

6(6) + 5 = 12 + 5(6)

36 + 5 = 12 + 30

$41\neq 42$

Thus 6 is not a solution

<em><u>Substitute x = 7</u></em>

6(7) + 5 = 12 + 5(7)

42 + 5 = 12 + 35

47 = 47

Thus 6 is a solution

6 0

3 years ago

At the beginning of an environmental study, a forest covered an area of 1500km^2. Since then, the area has decreased by 6.3% eac

geniusboy [140]

The <em><u>correct answer</u></em> is:

$y=1500(0.937)^t$

Explanation:

An exponential function is of the form

$y=a\times b^x$ , where a is the initial population, b is 1 plus the amount of yearly change, and x is the number of years.

For our problem, a, the initial population, is 1500.

The yearly change is 6.3%; 6.3% = 6.3/100 = 0.063. Since it is decreasing, this is negative; 1+(-0.063) = 0.937.

We use t as the number of years.

This gives us

$y=1500(0.937)^t$

3 0

3 years ago

I need help on this question

nadezda [96]

Answer:

(12.2,-6.4)

Step-by-step explanation:

The results from Desmos are as shown.

The displayed values are (12.294, -6.353)

4 0

3 years ago