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3 years ago

Use the distributive property to find the value of x.

Mathematics

1 answer:

damaskus [11]3 years ago

4 0

Answer:

1.5

Step-by-step explanation:

I did it

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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

A cylinder shaped drum is used as a garbage container. The drum has a height of 4 ft and a radius of 1.25 ft.

Marina86 [1]

V=hpir^2
h=4
r=1.25
v=4pi1.25^2
v=4pi1.5625
v=6.25pi
v=19.625
rounded to hundreth
v=19.63 ft³

7 0

4 years ago

Read 2 more answers

What is the area of this square?

Alex73 [517]

16 bc all sides of a square are congruent and area = LxW so 4x4=16

4 0

3 years ago

Choose the option that best completes the statement. 1. A figure has symmetry with respect to a plane Z if for every point A of

allochka39001 [22]

<span>1.perpendicular bisector.
2.midpoint.
3.perpendicular bisector.</span>

3 0

3 years ago

Read 2 more answers

1) The astronaut's sense of imbalance in a space flight is due to the rotation of a device in which he or she feels a fictitious

max2010maxim [7]

Answer:

n = 0.38 rotation per second

Step-by-step explanation:

The device rotates according to the mathematical equation :

$n=\dfrac{g^{0.5}}{2\pi r^{0.5}}$ ...(1)

Where n is the rotational speed and is measured in rotations per second (s).

r is radius of the circulator and is measured in meters (m).

We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).

$n=\dfrac{(9.8)^{0.5}}{2\pi \times (1.7)^{0.5}}\\\\=0.38\ \text{rotations per second}$

Hence, the rotational speed is 0.38 rotation per second.

8 0

3 years ago