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monitta
4 years ago
14

Jim, Sergio, Sarah, Tyrone, Dawn, Simone, Maria, and Katrina have all been invited to a dinner party. They arrive randomly and e

ach person arrives at a different time.
Required:
a. In how many ways can they arrive?
b. In how many ways can Simone arrive first and lan last?
c. Find the probability that Simone will arrive first and lan last.
Mathematics
1 answer:
Mrrafil [7]4 years ago
5 0

Answer:

2

Step-by-step explanation:

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A dice is rolled, then a coin is tossed. What is the probability of getting a 5 then tails?
inn [45]

Answer:

1/12

Step-by-step explanation:

P(5) = number of 5's on the die / total sides

P (5) = 1/6

P ( tails) = number of tails/ total

              = 1/2

P (5, then tails)= P (5) *P ( tails)

                         = 1/6 * 1/2

                          = 1/12

5 0
3 years ago
Given: E is the midpoint of DF<br> Prove: 2DE = DF
Lostsunrise [7]
E is the midpoint so it's HALF of DF

Since it's half that means DE and EF have the same length.

Therefore DE multiplied by 2 is DF.

Considering DF is the full length.
6 0
4 years ago
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find the volume of the cylindrical to the nearest cubic foot that has a hieght of 3 ft and a radius of 5 ft
Nat2105 [25]
<h2>Answer:</h2>

<u>The volume of cylinder is </u><u>235.5 feet³</u>

<h2>Step-by-step explanation:</h2>

We know that

Volume of cylinder = πr²h

Putting the values

Volume of cylinder = 3.14* 5² * 3

Volume of cylinder =  235.5 feet³

7 0
4 years ago
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Evaluate the left hand side to find the value of a in the simplest form.
lana [24]

Answer:

a = \frac{7}{4}

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} = a^{(m+n)} , then

x × x^{\frac{3}{4} } = x^{(1+\frac{3}{4)} } = x^{(\frac{4}{4}+\frac{3}{4})  } = x^{\frac{7}{4} } , so

x^{\frac{7}{4} } = x^{a}

Since the bases on both sides are x, then equate the exponents.

a = \frac{7}{4}

7 0
3 years ago
What is the justification for each step in solving the inequality?
nexus9112 [7]
Let's solve your inequality step-by-step.
−5(4x+6)<−18x+6+4x
Step 1: Simplify both sides of the inequality.
−20x−30<−14x+6
Step 2: Add 14x to both sides.
−20x−30+14x<−14x+6+14x
−6x−30<6
Step 3: Add 30 to both sides.
−6x−30+30<6+30
−6x<36
Step 4: Divide both sides by -6.
−6x
−6
<
36
−6
x>−6

Answer:
x>−6
7 0
3 years ago
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