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Reil [10]
3 years ago
7

Determine if the statements below are true or false. Justify your answer. (a) If a fair coin is tossed many times and the last e

ight tosses are all heads, then the chance that the next toss will be heads is somewhat less than 50%. (b) Drawing a face card (jack, queen, or king) and drawing a red card from a full deck of playing cards are mutually exclusive events. (c) Drawing a face card and drawing an ace from a full deck of playing cards are mutually exclusive events.
Mathematics
1 answer:
denis23 [38]3 years ago
4 0

Answer:

(a) is False (b) is true (c) is true

Step-by-step explanation:

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This year, 1,272 students enrolled in night courses a a local college. Last year only 1,200 students enrolled. What was the perc
Ahat [919]

The percent increase in enrollment is 6 %

The operation used in first step is finding the difference between final value and initial value

<h3><u>Solution:</u></h3>

Given that This year, 1,272 students enrolled in night courses a a local college

Last year only 1,200 students enrolled.

To find: percent increase in the enrollment

The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.

<em><u>The percent increase is given as:</u></em>

\text { percentage increase }=\frac{\text { final value - initial value}}{\text { initial value }} \times 100

Here initial value (last year) = 1200 and final value(this year) = 1272

Substituting the values in above formula,

\begin{aligned}&\text { percentage increase }=\frac{1272-1200}{1200} \times 100\\\\&\text { percentage increase }=\frac{72}{1200} \times 100=6\end{aligned}

Thus percent increase is 6 %

4 0
3 years ago
The density of a certain material is such that it weighs 3 grams per fluid ounce of
olchik [2.2K]
About 101.44 grams per liter


Mark brainliest please

Hope this helps you
8 0
2 years ago
Determine the roots of the following function of the quadratic formula:<br> x^2-5x-4=0
noname [10]

Answer:

4,1

Step-by-step explanation:

(x-4)(x-1)

x=4 or x=1

7 0
3 years ago
Read 2 more answers
(3i+2)(2i-3)-√-16-2i^2+i^3
DedPeter [7]
See attachment for full explanation.

8 0
3 years ago
The polynomial p(x)=x^3+7x^2-36p(x)=x 3 +7x 2 −36p, left parenthesis, x, right parenthesis, equals, x, cubed, plus, 7, x, square
Iteru [2.4K]

Answer:

(x-2)(x+3)(x+6)

Step-by-step explanation:

Given the polynomial function p(x)=x^3+7x^2-36

We are to write it as a product of its linear factor

Assuming the value of x that will make the polynomial p(x) to be zero

Let x = 2

P(2) = 2³+7(2)²-36

P(2) = 8+7(4)-36

P(2) = 8+28-36

P(2) = 0

Since p(2) = 0 hence x-2 is one of the linear factors

Also assume x = -3

P(-3) = (-3)³+7(-3)²-36

P(-3) = -27+7(9)-36

P(-3) = -27+63-36

P(-3) = 36-36

P(-3) = 0

Since p(-3) = 0, hence x+3 is also a factor

The two linear pair are (x-2)(x+3)

(x-2)(x+3) = x²+3x-2x-6

(x-2)(x+3) = x²+x-6

To get the third linear function, we will divide x^3+7x^2-36 by x²+x-6 as shown in the attachment.

x^3+7x^2-36/x²+x-6 = x+6

Hence the third linear factor is x+6

x^3+7x^2-36 = (x-2)(x+3)(x+6)

8 0
3 years ago
Read 2 more answers
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