Help me please !! I don't understand

Solve the system of equations: y= -x + 9 y = - 3x + 8 X=

anygoal [31]

27 i believe
you would substitute y with 0 to find x then you would put 9 in for x to find y then you would go back to the first equation and put -19 in for y and then solve for x and get 27

5 0

3 years ago

Solving and Graphing a Compound Inequality

Marat540 [252]

Number 4 because if you do the thing then you will get 0

5 0

3 years ago

When three squares are joined at their vertices to form a right triangle, the combined area of two smaller squares is the same a

Artist 52 [7]

Answer:

b = 12 cm

Step-by-step explanation:

The Pythagora's Theorem

The area of a square of side length x is

$A = x^2$

We have three squares, two of which have side lengths of a=5 cm and b= 13 cm.

The combined area of the smaller squares is the same as the area of the largest square. We cannot say at first sight which square is the largest, we'll assume the square of side length of 13 cm is the largest one. Thus:

$5^2+b^2=13^2$

Where b is the unknown side length.

The above expression corresponds to the Pythagora's Theorem formula. Solving for b:

$b^2={13^2-5^2=169-25=144$

$b=\sqrt{144}$

b = 12 cm

7 0

3 years ago

2. Suppose that P(A) = 0.32, P(B) = 0.46, P(C) = 0.23, P(A ∪ B) = 0.57, P(A ∪ C) = 0.55, P(B ∪ C) = 0.49. a. Compute P(B ′ ). b.

Liula [17]

Answer:

Step-by-step explanation:

From the given information:

a.

Compute $P(B')$ :

$P(B') = 1 - P(B) \\ \\P(B') = 1 - 0.46 \\ \\ P(B') = \mathbf{0.54}$

b.

Compute P(A ∩ B)

P(A ∩ B) = P(A) +P(B) - P(A∪B)

P(A ∩ B) = 0.32 + 0.46 - 0.57

P(A ∩ B) = 0.21

Thus, since P(A ∩ B) ≠ 0, we can say that they are not mutually exclusive.

c.

P(A ∩ C) = P(A) +P(C) - P(A∪C)

P(A ∩ C) = 0.32 + 0.23 -0.55

P(A ∩ C) = 0

Thus, since P(A ∩ C) = 0, we can say that they are both mutually exclusive.

d. To determine P[(A ∪ B ∪ C)′]

i.e. none of the events occurring

Then :

P(B ∩ C) = 0.46 +0.23 -0.49

P(B ∩ C) = 0.20

Therefore:

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B ) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)

P(A ∪ B ∪ C) = 0.32 + 0.46 + 0.23 - 0.21 - 0 - 0.20 + 0

P(A ∪ B ∪ C) = 0.60

3 0

3 years ago

Explain what a P-value is. What is the criterion for rejecting the null hypothesis using the P-value approach?

ladessa [460]

Answer:

P-value or Probability value is the exact percentage where test statistics lie.The criterion for rejecting the null hypothesis using the P-value approach is that if P-value < Level of significance , then we reject our null hypothesis

Step-by-step explanation:

P-value or Probability value is the exact percentage where test statistics lie.

It also tells the probability of obtaining extreme results corresponding to our level of significance keeping in state that our null hypothesis is true or correct.

The criterion for rejecting the null hypothesis using the P-value approach is that if P-value < Level of significance , then we reject our null hypothesis i.e.

Suppose P-value is 2.33% and Level of significance is 5%, then we will reject our null hypothesis as 2.33% < 5%.

On the other hand, if P-value > Level of significance , then we cannot reject or accept our null hypothesis.

5 0

3 years ago