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3 years ago

10

A single die is rolled. find the probability of rolling an odd number or a number less than 4.

1 answer:

bonufazy [111]3 years ago

6 0

Odd no. 3/6 = 1/2
less than 4 3/6 = 1/2

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Solve for y. 4y+5/3 = y-8/2 y = -4 y = -5 y = -8

horrorfan [7]

Answer:

<h3>y = -34/5</h3>

Step-by-step explanation:

$\dfrac{4y+5}{3}=\dfrac{y-8}{2}\qquad\text{multiply both sides by }\ 2\cdot3=6\\\\6\!\!\!\!\diagup^2\cdot\dfrac{4y+5}{\not3_1}=6\!\!\!\!\diagup^3\cdot\dfrac{y-8}{\not2_1}\\\\2(4y+5)=3(y-8)\qquad\text{use distributive property}\\\\(2)(4y)+(2)(5)=(3)(y)+(3)(-8)\\\\8y+10=3y-24\qquad\text{subtract 10 from both sides}\\\\8y=3y-34\qquad\text{subtract 3y from both sides}\\\\5y=-34\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{34}{5}}$

5 0

3 years ago

How do you factor x^3-2x^2-35x?

natima [27]

X^3 -2x^2 -35x

=x(x^2-2x-35)

=x(x-7)(x+5)

5 0

3 years ago

Read 2 more answers

Let f(x) = cx^k be a power function such that f(13) is four times the size of f(1). What is the power k?

Ivenika [448]

Answer:

0.540

Step-by-step explanation:

Hi there,

To get started in order to solve this, please recall the property of logarithms.

This question is a bit tricky, but doable. Best way to solve this is first compare the two functions:

$f(x) = cx^{k} \\ f(13)=4f(1)$

Now, let's see what the function gives at 13 and 1:

$f(13)=c13^{k}\\f(1)=c1^{k}$

Something to recognize is that 1 to the power of <em>anything</em> is just 1, so f(1) is reduced to:

$f(1)=c$ We are making progress!

Next, we can set both f(13) forms equivalent to each other, watch this:

$f(13)=f(13) = 4f(1)$ but we know what f(1) is equal to, and let's substitute our knowns:

$c13^{k}=4c1^{k} = 4c$ the c constant on both left and right side cancel out:

$13^{k}=4$ Now, take the logarithm form of both side of the equation. I used natural log, but you can also use common logs:

$ln(13^{k})=ln(4)$ ⇒ $k*ln(13)=ln(4)$ this was performed using <em>the power log rule. </em>

Isolate k:

$k=\frac{ln(4)}{ln(13)} =0.540$ using a calculator.

If you liked this solution, hit Thanks or give a rating!

thanks,

8 0

3 years ago

Help me please!! This is due at 3:00 pm

hammer [34]

X=3

It’s a right angle so it's equal to 90 degrees and both sides are congruent.

7 0

3 years ago

Jamal starts work in January with a salary of RM 3650 per month.He gives 10% of his salary to his mother.How much money does Jam

kati45 [8]

Answer:

Earns 56,500

Tax 56,500 × 10/100

=5,650

Invest = 50,850 × 50/100

= 25,425

Food = 25,425 × 30/100

=7,627.5

Shopping = 17,797.5 × 20/100

=3,559.5

Remaining = 14,237.5

3 0

3 years ago