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3 years ago

The angle measurements in the diagram are represented by the following expressions;

Mathematics

1 answer:

Fudgin [204]3 years ago

3 0

Answer:

∠A=166°

Step-by-step explanation:

∠A=∠B

7x+40=3x+112

4x=112-40

x=18

∠A=7x+40=166

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If y - 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

choli [55]

Answer:

a) Only the set of ordered pairs {(0,3), (1, 6), (2, 9)) satisfies the

equation y - 3 = 3x

Step-by-step explanation:

Here, the given equation is : y - 3 = 3x

or , y - 3 x = 3

Now, check the value of equation for first ordered pair in each set.

a) {(0,3), (1, 6), (2, 9)) : Checking for (0.3)

y - 3x = 3 - 3(0) = 3

and 3 = 3 = Right side

Hence, {(0,3), (1, 6), (2, 9)) satisfies the equation.

b) {(3,0), (6, 1), (9, 2)} : Checking for (3,0)

y - 3x = 0 - 3(3) = -9

and -9 ≠ 3 (Right side)

Hence, {(3,0), (6, 1), (9, 2)} do NOT satisfy the equation.

c) {(1,3), (2,6), (3,9)} : Checking for (1,3)

y - 3x = 3 - 3(1) = 3 - 3 = 0

and 0 ≠ 3 (Right side)

Hence,{(1,3), (2,6), (3,9) } do NOT satisfy the equation.

d) {(3, 1), (6,2), (9,3)} : Checking for (3,1)

y - 3x = 1 - 3(3) = 1 - 9 = -8

and -8 ≠ 3 (Right side)

Hence,{(3, 1), (6,2), (9,3)} do NOT satisfy the equation.

4 0

3 years ago

Find the mean and standard deviation. Show all work. 1. X 0 1 2 3 4 P(x) .07 .38 .22 .13

Paraphin [41]

Answer:

Mean = 2.14

Standard deviation = 2.40

Step-by-step explanation:

The calculation of mean and standard deviation is shown below:-

$X = .07\times0 + 0.20\times 1 + 0.38\times 2 + 0.22\times 3 + 0.13\times 4\\\\ = 0 + 0.2 + 0.76 + 0.66 + 0.52$

= 2.14

So, the mean is 2.14

Now, For computing the standard deviation first we need to find out the variance which is shown below:-

Variance is

$Var(X) = P(X^2) - [P(X)]^2\\\\ P(X^2) = .07\times (0^2) + .20\times (0^1) + .38\times (0^2) + .22\times (0^3) +0.13\times (0^4)$

After solving the above equation we will get

= 5.78

Now, the standard deviation is $= \sqrt{Variance}$

$= \sqrt{5.78}$

= 2.404163056

= 2.40

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3 years ago

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Illusion [34]

Answer:

The correct answer is 17.5

5 0

3 years ago

Evaluate the expression for the given value of the variable.

navik [9.2K]

Answer:

I NOT 100% SURE BUT I THINK ITS .B)

Step-by-step explanation:

6 0

3 years ago

If f(c)=0, which of the following statements must be true?

Tju [1.3M]

Answer:

Step-by-step explanation:

If f(c)=0 then (c,0) is on the graph.

In general, if f(a)=b then (a,b) is on the graph.

By factor theorem if f(c)=0 then x-c is a factor.

If x-c is a factor then x-c will divide f(x) evenly. We know this because the remainder will be 0 because we know x-c is a factor of f.

The only choice that I have said in this whole thing that is true is C.

7 0

3 years ago

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