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slega [8]
3 years ago
5

Find the value of x.

Mathematics
1 answer:
Anna [14]3 years ago
7 0

Answer:

55.7°

Step-by-step explanation:

I hope this helps.

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Thuy rolls a number cube 7 times. which expression represents the probability of rolling a 4 exactly 2 times?
Nady [450]
The result of rolling a number cube 7 times is a 7-digit number composed of digits 1,2,3,4,5 and 6 so that digits can repeat. The total number of possibilities is 6^7.

The number of possibilities where 4 appears exactly two times is 5^5*(7!-6!/2).
 5^5 is the number of 5-digits numbers composed of digits 1,2,3,5 and 6 so that digits can repeat.
7! is the number of permutations of digits 1,2,3,4,4,5 and 6.
6! is the number of permutations of digits 1,2,3,{4,4},5 and 6.
We don't want to subtract all numbers where digits 4 appear side by side. That's why we must divide 6! by 2.

Finally, the probability is P=5^5(7!-6!/2)/7^7
6 0
3 years ago
Read 2 more answers
What fraction is equivalent to 36/60 and the sum of the numerator and denominator is 24
almond37 [142]

Answer:

The fraction is \frac{9}{15}

Step-by-step explanation:

\frac{36}{60} = \frac{x}{y}

Where x and y are the numerator and denominator of our new fraction respectively.

Also given is that x + y = 24

So  \frac{x}{y} = 36 ÷ 60 = 0.6

x = 0.6y

Substituting x in x + y = 24 gives;

0.6y + y = 24 , 1.6y = 24

y = 24 ÷ 1.6 = 15

x = 24 - 15 = 9

So our fraction is \frac{9}{15}

5 0
3 years ago
What is 180% as a decimal
bazaltina [42]

Answer:

1.80 this is the correct answer

7 0
3 years ago
Read 2 more answers
10 POINTS!!! PLEASE ANSWER SOON! THANK YOU!
Aloiza [94]

The answer would be 5.291 10 to the power of 12

5 0
3 years ago
Find the sum of first 15 terms of an AP whose 4th and 9th t terms are -15 and -30 respectively.
Serga [27]

Answer:

Sum of the first 15 terms = -405

Step-by-step explanation:

a + 3d = -15 (1)

a + 8d = -30 (2)

Where,

a = first term

d = common difference

n = number of terms

Subtract (1) from (1)

8d - 3d = -30 - (-15)

5d = -30 + 15

5d = -15

d = -15/5

= -3

d = -3

Substitute d = -3 into (1)

a + 3d = -15

a + 3(-3) = -15

a - 9 = -15

a = -15 + 9

a = -6

Sum of the first 15 terms

S = n/2[2a + (n − 1) × d]

= 15/2 {2×-6 + (15-1)-3}

= 7.5{-12 + (14)-3}

= 7.5{ -12 - 42}

= 7.5{-54}

= -405

Sum of the first 15 terms = -405

7 0
3 years ago
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