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3 years ago

How do I find the scale factor of this problem

Mathematics

2 answers:

OlgaM077 [116]3 years ago

7 0

Match the corresponding side and simplify the ratio The ratio is the scale factor.

ale4655 [162]3 years ago

5 0

Match up each of the corresponding sides, and simplify the ratio.
That ratio is the scale factor.

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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

Which of the following are incorrect expressions for slope? Check all that apply.

Crazy boy [7]

Pretty sure it’s B and D

7 0

2 years ago

-6(y+15)=-3y+6<br> what value of y makes the equation true

AlladinOne [14]

Answer:

y = -32

Step-by-step explanation:

-6(y+15)=-3y+6

Distribute

-6y - 90 = -3y +6

Add 6y to each side

-6y -90+6y = -3y+6y +6

-90 = 3y+6

Subtract 6 from each side

-90 -6 = 3y +6-6

-96 = 3y

Divide by 3

-96/3 = 3y/3

-32 = y

7 0

2 years ago

Read 2 more answers

Find the area of the shaded region round to the nearest tenth

Alenkinab [10]

Answer: 818.4

Step-by-step explanation:

Using the area of a sector formula, we get the area of the entire sector is $(\pi)(27.8^{2})\left(\frac{150}{360} \right)$ .

Using the formula $A=\frac{1}{2} ab \sin C$ , we get the area of the triangle is $\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ})$ .

So, the area of the shaded sector is $(\pi)(27.8^{2})\left(\frac{150}{360} \right)-\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}) \approx \boxed{818.4}$

6 0

2 years ago

HELP ASAP!!!!!!!!!!!!!

Igoryamba

Answer:

just calculate

Step-by-step explanation:

4 0

3 years ago