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3 years ago

3x - 4y = 18 x + 3y = -7

1 answer:

5 0

3x-4y=18
+3x   +3x
-----------------
-4y=3x+18
÷-4    ÷-4
----------------
y=-3/4x-6

x+3y=-7
-x    -x
------------
3y=-x-7
÷3    ÷3
--------------
y=-x-7/3

I think but not sure :)

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The scatter plot below shows the high temperature for one day and the number of coats in the theater coat check on that same day

Setler [38]

Answer:

the number of coats in the coat check will most likely decrease if the temperatures decrease.

Step-by-step explanation:

Im guessing this answer: Number of coats in the coat check will decrease because the graph shows negative association

But it could also be this answer: Number of coats in the coat check will decrease because the graph shows positive association

I think the graph shows a negative association because when the temperature goes down, the coat check goes down as well

6 0

2 years ago

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Sergio [31]

Answer:

Step-by-step explanation:

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2 years ago

What is the value of the expression [5 × (3 + 6)] – 8?

Sergeeva-Olga [200]

The answer is 37. Hope this helps!

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2 years ago

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Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court

Ksju [112]

Answer:

$(a)\dfrac{92}{117}$

$(b)\dfrac{8}{39}$

$(c)\dfrac{25}{117}$

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are without replacement.

(a)Probability that both appointees are men.

$P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}$

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed) $=P(MW)+P(WM)$

$=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}$

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.
Two women are appointed

P(at least one woman is appointed) $=P(MW)+P(WM)+P(WW)$

$P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}$

In Part B, $P(MW)+P(WM)=\frac{8}{39}$

Therefore:

$P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}$

5 0

2 years ago

ABCD is a rectangle. Find the length of each diagonal.ac=2(5a+1) bd=2(a+1).

Igoryamba

Rectangle diagonals are equal.

2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0

AC = 2(5a+1) = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2 
BD = 2(a+1) = 2(0 + 1) = 2 × 1 = 2

Ansver: AC = BD = 2

7 0

3 years ago