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2 years ago

What is the value of x

Mathematics

2 answers:

fenix001 [56]2 years ago

6 0

Answer:

x=27

Step-by-step explanation:

a(a+b)=c(c+d)

10(42+10)=13(x+13)

520=13x+169

x=27

Alexus [3.1K]2 years ago

3 0

Try and put 42 I’m pretty sure that’s the correct answers since the chords are congruent

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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}$

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2 years ago

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Yuri [45]

Answer:

Step-by-step explanation:

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2 years ago

Find the measure of angle X.

Alik [6]

The triangle is an isosceles triangle so that means the base angles must be congruent.

The sum of the interior angles of a triangle add up to 180 degrees.

Subtract 52 degrees from 180 degrees.

180 - 52 = 128

Divide 128 degrees by 2.

128/2 = 64

m∠X = 64°

8 0

3 years ago

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Find the surface area of the triangular prism. and equation plz

Firdavs [7]

Answer:

648

Step-by-step explanation:

A=Ph

P=perimeter of triangle

P=6+6+6

P=18

h= height of prism

h=38

A=ph

A=18*36

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2 years ago

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FIRST ANSWER GET BRAINLEST

liraira [26]

Let's call x the price of a box of slime.

Gianna spent 4 × $58 for art supplies so 4(58) + 8x all together. We have

392 ≤ 4(58) + 8x ≤ 472

We can work with both inequalities at once. 4(58)=232 so we subtract that from all three sides.

160 ≤ 8x ≤ 240

Divide all three sides by 8, a positive number so the inequalities don't flip.

20 ≤ x ≤ 30

Answer: Least: $20, Most: $30

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3 years ago

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