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2 years ago

2. Write the probability of each event when choosing one card at random from a standard

Mathematics

1 answer:

xeze [42]2 years ago

3 0

Answer:

Step-by-step explanation:

(King of Diamonds) = 1/52

(A Heart) = 1/4

(Red Three) = 1/26

(Red Card) = 1/2

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Simplify <img src="https://tex.z-dn.net/?f=%5Csqrt%7B-72%7D" id="TexFormula1" title="\sqrt{-72}" alt="\sqrt{-72}" align="absmidd

Dmitry_Shevchenko [17]

Answer:

$i3 \sqrt{8}$

Step-by-step explanation:

$\sqrt{ - 72} \\ \sqrt{ - 1} \times \sqrt{72} \\ \sqrt{ - 1} \times \sqrt{9} \times \sqrt{8} \\ i3 \sqrt{8}$

5 0

2 years ago

Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}$

Now you can rewrite it as:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}$

Next, multiply:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}$

Next, divide:

$(\frac{f}{g})(x)=(x+2)^2$

And lastly, simplify:

A good tip: $(x+y)^2=x^2+2xy+y^2$

$(\frac{f}{g})(x)=x^2+4x+4$

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

7 0

3 years ago

Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. What is the initial value of the linear function tha

kkurt [141]

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3 years ago

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8/2z=15/60 .solve proportion.

masya89 [10]

$\frac{8}{2z}=\frac{15}{60}\ \ \ \ \ |cross\ multiply\\\\2z\cdot15=8\cdot60\\\\30z=480\ \ \ \ |divide\ both\ sides\ by\ 30\\\\\boxed{z=16}$

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3 years ago

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Which of the following is the accurate APA format for writing out the bragger condition main effect result for dependent variabl

Svetllana [295]

Answer:

Answer is given below.

Step-by-step explanation:

3. Option a is correct

we ran a univariate ANOVA for 2 independent variables and 1 dependent variable.

for the bragger condition (truthful or non truthful), we got the F (1,116)=68.646 and p value = 0.000 < 0.01 that necessarily implies that there is no significant main effect of the bragger condition on the likeability of Edward.

4 0

3 years ago