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3 years ago

5

Tell whether the statement is sometimes, always, or never true. Explain your reasoning. The x-coordinate of a point on the x-axi

s is zero.

2 answers:

Tom [10]3 years ago

3 0

I think this would be sometimes true

MakcuM [25]3 years ago

3 0

This is sometimes true!

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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 <u>without replacement.</u>

(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

3 years ago

Can anyone help me with this pleaseeee :(

vivado [14]

Answer:

x=65

Step-by-step explanation:

x-5=60

Add 5 to both sides

x=65

7 0

2 years ago

COMPLETE THE SQUARE TO REWRITE Y=X>2+8X+3 IN VERTEX FORM , AND THEN IDENTIFY THE MINIMUN Y-VALUE OF THE FUNCTION

kicyunya [14]

Answer:

The vertex form is y = (x + 4)² - 13

The minimum value of the function is -13

Step-by-step explanation:

∵ y = x² + 8x + 3

∵ 8x ÷ 2 = 4x ⇒ (x) × (4)

∴ We need ⇒ x² + 8x + 16 to be completed square

∴ y = (x² + 8x + 16) - 16 + 3 ⇒ we add 16 and subtract 16

∴ y = (x + 4)² - 13 ⇒ vertex form

∵ The vertex form is (x - a)² + b

Where a is the x-coordinate of the minimum point and b is y-coordinate of the minimum point (b is the minimum value of the function)

∴ The minimum value is -13

6 0

3 years ago

Three out of four student surveyed in a school said they will vote for nuncio for class president. Predict how many of the 340 s

elena55 [62]

3/4 is .75. translate that to percentages, and you get 75%. This means that it is likely that 75% of the 340 students in total will vote for Nuncio.
write it out:
.75*340
solve:
255

about 255 students are likely to vote for Nuncio

5 0

4 years ago

Read 2 more answers

Help me please i am confused on what to do

padilas [110]

It would be 32 minutes

5 0

3 years ago

Read 2 more answers