If A and B are independent events, then it must be true that P(ATB) = P(A).

Harold bought 20 toys for his nieces and nephews. The least expensive toy cost $8.21, and the most expensive toy cost $13.79. Wh

Usimov [2.4K]

The logical answer would be d

3 0

2 years ago

Read 2 more answers

Help pls look at the picture

Alika [10]

Answer:

Option A: $-\frac{4}{3}$ is the correct answer.

Step-by-step explanation:

Given that:

Slope of the line = $\frac{3}{4}$

Let,

m be the slope of the line perpendicular to the line with slope $\frac{3}{4}$

We know that,

The product of slopes of two perpendicular lines is equals to -1.

Therefore,

$\frac{3}{4}.m=-1\\$

Multiplying both sides by $\frac{4}{3}$

$\frac{4}{3}*\frac{3}{4}m=-1*\frac{4}{3}\\$

m = $-\frac{4}{3}$

$-\frac{4}{3}$ is the slope of the line perpendicular to the line having slope $\frac{3}{4}$

Hence,

Option A: $-\frac{4}{3}$ is the correct answer.

3 0

3 years ago

Which of the following is not a geometric sequence?

Leviafan [203]

A.

Because in mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

3 0

2 years ago

How do I solve this equation

Anestetic [448]

-x - y = 8
2x - y = -1

Ok, we are going to solve this in 2 parts. First we have to solve for one of the variables in one of the equation in terms of the other variable. I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.

-x - y = 8 add y to each side
-x = 8 + y divide by -1
x = -8 - y

So now we have a value for x in terms of y that we can use to substitute into the other equation. In the other equation we are going to put -8 - y in place of the x.

2x - y = -1
2(-8 - y) - y = -1 multiply the 2 through the parentheses
-16 - 2y - y = -1 combine like terms
-16 - 3y = -1 add 16 to both sides
-3y = 15 divide each side by -3
y = -5

Now we have a value for y. We need to plug it into either of the original equations then solve for x. I usually choose the most simple equation.

-x - y = 8
-x - (-5) = 8 multiply -1 through the parentheses
-x + 5 = 8 subtract 5 from each side
-x = 3 divide each side by -1
x = -3

So our solution set is

(-3, -5)

That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.

4 0

3 years ago

How do I find Trig ratios

nadya68 [22]

Trig ratios can only be used on right triangles with acute measures.

If given an angle and there are adjacent and opposite sides, then use tan(opposite/adjacent)

If given an angle and there is an adjacent side and a hypotenuse, then use cosine(adjacent/hypotenuse)

If given an angle and there is an opposite and adjacent side, then use sin(opposite/hypotenuse)

A common mnemonic device used to memorize the trig rules is SOH-CAH-TOA

8 0

3 years ago