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3 years ago

Solve using elimination. -9x + 2y = 5 9x − 4y = -19

2 answers:

7 0

-9 + 2y = 5
9x - 4y = -19

Add these equations to eliminate x:
-2y = -14

Then solve -2y = -14 for y:
-2y = -14
-2 -2
(Divide both sides by -2)

y=7

Substitute 7 for y in -9x + 2y = 5:
-9x + (2)(7) = 5
-9x + 14 = 5
-14 -14
(Subtract 14 from both sides)
-9x = -9
-9 -9
(Divide both sides by -9)
x = 1

(1,7)
Mark me Brainlest pls

almond37 [142]3 years ago

6 0

hi hruStep-by-step explanation:

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When a group of colleagues discussed where their annual retreat should take place, they found that all the colleagues: 25 would

raketka [301]

Answer:

63 people

Step-by-step explanation:

We have the following:

Let P: the subset of those 25 who would not go to a park

Let B: the subset of those 27 who would not go to the beach

Let C: the subset of those 24 that would not go to a cottage

Thus:

The intersection PB of subsets P and B consists of 10 people (i.e. neither a park nor a beach)

The intersection BC of subsets B and C consists of 7 people (i.e. neither beach nor cottage)

The intersection PC of subsets P and C consists of 6 people (i.e. neither a park nor a cottage)

We are also told that the PBC intersection of subsets P, B, and C consists of 4 person (i.e. would not go to a park, beach, or cottage)

The complement of the union of the sets P, B and C for the whole group consists of 6 people (that is, willing to go to the three places)

The formula to apply is as follows:

# (PUBUC) = #A + #B + #C - #AnB - #BnC - #AnC + #AnBnC

Replacing:

= 25 + 27 + 24 - 10 - 7 - 6 + 4

= 57 people

those who are willing to all who are 6 would be missing us, therefore:

57 + 6 = 63

The group consists of a total of 63 people.

8 0

3 years ago

What number is 120% of 70

kaheart [24]

70/x=100/120
(70/x)*x=(100/120)*x - we multiply both sides of the equation by x
70=0.833333333333*x - we divide both sides of the equation by (0.833333333333) to get x
70/0.833333333333=x
84=x
x=84

now we have:
<span>120% of 70=84</span>

8 0

4 years ago

1. The table shows the probabilities of a response chocolate or vanilla when asking a child or adult. Use the formula for condit

Stels [109]

$\begin{matrix}&\text{chocolate}&\text{vanilla}&\text{total}\\\text{children}&0.14&0.26&0.40\\\text{adults}&0.21&0.39&0.60\\\text{total}&0.35&0.65&1.00\end{matrix}$

a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as

$P(\text{chocolate}\cap\text{adults})=P(\text{chocolate})\cdot P(\text{adults})$

"Chocolate" has the marginal distribution given by the second column, with a total probability of $P(\text{chocolate})=0.35$ . Similarly, "Adults" has the marginal distribution described by the third row, so that $P(\text{adults})=0.60$ . Then

$P(\text{chocolate})\cdot P(\text{adults})=0.35\cdot0.60=0.21$

Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with $P(\text{chocolate}\cap\text{adults})=0.21$ .

The probabilities match, so these events are indeed independent.

Parts (b) and (c) are checked similarly.

b. Yes;

$P(\text{children})\cdot P(\text{chocolate})=0.40\cdot0.35=0.14$
$P(\text{children}\cap\text{chocolate})=0.14$

c. Yes;

$P(\text{vanilla})\cdot P(\text{children})=0.65\cdot0.40=0.26$
$P(\text{vanilla}\cap\text{children})=0.26$

5 0

3 years ago

True or False: If a chi-square test is significant (i.e., there is an association between the variables), we should look at the

AnnyKZ [126]

Answer: True.

Step-by-step explanation:

A conditional distribution in this case is a probability distribution for a sub-population. In other words, it represent the probability that a randomly selected item in a sub-population has a characteristic we’are interested in .

Partitioning the popular action assist us to see if the sub-population contains the characteristics we ere interested in I.e . Association

7 0

3 years ago

How to find the measure of an angle?

SashulF [63]

Answer:

You can use a protractor

Step-by-step explanation:

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3 years ago

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