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agasfer [191]
3 years ago
15

A six-sided die is tossed and a coin is flipped. What is the fractional probability that the die lands on 4 and the coin is head

s?
Mathematics
1 answer:
Nataliya [291]3 years ago
8 0

Answer:

1/12

Step-by-step explanation:

First we have to calculate the sample space i.e. The total number of outcomes,

(H represents heads, T represents Tails and Numericals represent the number on the die)

H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6

= 12 sample spaces

Ok now so what is the probability that the die lands on 4 and it pops up as heads. So when we see the total outcomes we see that such event has only one such outcome

The number of outcomes/Total number of outcome

So therfore we can represent it in fraction as

1 / 12

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Yesterday, Caitlin swam 20 laps in the pool. Hannah swam 4/5 as many laps As Caitlin. How many laps did Hannah swim?
Misha Larkins [42]

Caitlin = 20 laps

Hannah = 4/5 as many laps

Multiply the laps swan by Caitlin (20) by 4/5

20 x 4/5 = 80/5 = 16

Hannah swam 16 laps

6 0
1 year ago
From a carton containing 50kg of sugar 24 half-kilogram packets were taken . How many kilograms of sugar remained?
mart [117]
24 half-kg packets = 24 x 1/2 = 12kg

Sugar remained = 50 - 12 = 38 kg

Answer: 38 kg
3 0
3 years ago
Help me plzzzzzzzzzzz
Inga [223]

Answer:

A = 3

B = -5

C = 2

Step-by-step explanation:

The way to format a quadratic equation is: ax^2 + bx + c, so the first step to solving this is to format it in the right way, where the x^2 comes first, the x second, and the number alone.

After formatting, your equation should look like this: 3x^2 - 5x + 2

From here, you can see the the <em>a </em> is 3, the <em>b</em> is -5, and the <em>c </em>is 2

7 0
3 years ago
Solve each of these equations.<br><br> 1. 2(x+5)=3x+1<br><br> 2. 3y−4=6−2y<br><br> 3. 3(n+2)=9(6−n)
Anastasy [175]

Answer:

1. x=9

2. y=2

3. n=4

hello just helping out!

6 0
3 years ago
If sine theta equals three over four, what are the values of cos θ and tan θ?
ratelena [41]

Answer:

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus  three over root seven

Step-by-step explanation:

Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.

Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.

a²+b²=c²

a²=c²-b²

a²=4²-3²

a²=16-9

a²=7

a=√7

Then Cos ∅= opposite/ adjacent

=√7/4

Then Tan ∅ = opposite/adjacent

=3/√7

In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus  three over root seven.

7 0
3 years ago
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