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lilavasa [31]
1 year ago
7

A coin is tossed and a die is rolled simultaneously. What is the probability of getting a head and a number less than 3?

Mathematics
1 answer:
laila [671]1 year ago
7 0

Answer: 1/6

Step-by-step explanation:

The probability of getting a head is 1/2.

The probability of getting a number less than 3 is 1/3.

  • Out of the 6 possibilities, two satisfy this condition: 1 and 2. So, the probability is 2/6 = 1/3.

Since the events are independent, the probability is (1/2)(1/3)=1/6.

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If 94 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $1.75 and total receipts for the
Tasya [4]

Answer:

52 adults and 42 children attended the concert

Step-by-step explanation:

Given:

Total attendees=94 people

Adults tickets=$2.5

Children tickets=$1.75

Total receipts=$203.5

Let adults=a

Children=c

a+c=94 (1)

2.5a + 1.75c=203.5 (2)

From (1)

a+c=94

a=94-c

Substitute a=94-c into (2)

2.5a + 1.75c=203.5

2.5(94-c) + 1.75c=203.5

235-2.5c+1.75c=203.5

-0.75c=203.5-235

-0.75c=-31.5

Divide both sides by -0.75

-0.75c/-0.75=-31.5/-0.75

c=42

Substitute c=42 into (1)

a+c=94

a+42=94

a=94-42

=52

a=52

Therefore,

52 adults and 42 children attended the concert

3 0
3 years ago
Tasha invests $5,000 annually at 6% and an additional $5,000 annually at 8%. Thomas invests $10,000 annually at 7%. Which statem
Setler79 [48]

Answer:

B is correct.

Step-by-step explanation:

Compound Interest Formula:

V(t)=P(1+\frac{r}{n})^{nt}

Tasha invests in two ways

Case 1:

  • Principal P=$5,000
  • Rate of Interest r=0.06
  • Time t=t
  • n=1

V(t)=5000(1+0.06)^t

V(t)=5000(1.06)^t

Case 2:

  • Principal P=$5,000
  • Rate of Interest r=0.08
  • Time t=1
  • n=1

V(t)=5000(1+0.08)^t

V(t)=5000(1.08)^t

Total amount yield by Tasha = 5000[(1.06)^t+(1.08)^t]

Thomas Investment

  • Principal P=$10,000
  • Rate r= 0.07
  • t=t
  • n=1

Total amount yield by Thomas = 10000(1.07)^t

Now we make table for Tasha and Thomas different value of t

    t                  Tasha                  Thomas

   1                  $10,700                 $10,700  

   2                 $11,450                  $11,449

   3                 $12,254                 $12,250

   4                 $13,115                  $13,108

In table we can see Tasha investment will yield more from Thomas.

Thus, Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

8 0
3 years ago
Read 2 more answers
What is the value of x in the equation (2x + 1)1/3 + 3 = 6
OleMash [197]

Answer:

x = 4

Step-by-step explanation:

8 0
3 years ago
1. A bag contains rubber bands with lengths that are normally distributed with a mean of 6 cm of length, and a standard deviatio
romanna [79]
Roughly 1.7 percent of the bands are shorter than 3cm. We calculate the z score of the data point in standard distribution. By definition of z score, we use score minus mean divided by standard deviation. z=(3-6)/1.5=-2. A z score of -2 corresponds to approximately 1.7%, in other words, roughly 1.7 percent of data is less than 3cm.
4 0
3 years ago
Please help me if you can. Please​
Ira Lisetskai [31]

Answer:

1) 2a^2b-4a^3b^6-6+ab

sorry i can only do number 1 rn.

Step-by-step explanation:

5 0
3 years ago
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