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3 years ago

What is the value of 2^3+5^2

Mathematics

1 answer:

lakkis [162]3 years ago

5 0

Answer: The value of 2^3+5^2 is 18.

Step-by-step explanation:

2^3 = 2 × 2 × 2 = 8

5^3 = 5 × 2 = 10

10 + 8 = 18

I hope this helped! :D

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A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?

seraphim [82]

Answer:

$P\left(E\right)=\frac{55}{1024}$

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

$nCr=\frac{n!}{r!\left(n-r\right)!}$

Plug in n = 12 and r = 9

$=\frac{12!}{9!\left(12-9\right)!}$

$=\frac{12!}{9!\cdot \:3!}$

$=\frac{12\cdot \:11\cdot \:10}{3!}$ ∵ $\frac{12!}{9!}=12\cdot \:11\cdot \:10$

$=\frac{1320}{6}$ ∵ $3!\:=\:3\times 2\times 1=6$

$=220$

Thus, the probability will be:

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

$=\frac{220}{4096}$

$=\frac{55}{1024}$

Thus, the probability of the coin landing tails up exactly nine times will be:

$P\left(E\right)=\frac{55}{1024}$

4 0

3 years ago

Please help

Vlada [557]

We know that

When we have

$f(x)=ax^2 +bx+c$

Here ,

a is the leading coefficient

c is the constant term

so, we can compare it with

$f(x)=5x^2-7x+6$

so, we get

$a=5,c=6$

so,

leading coefficient is 5

constant term is 6......................Answer

4 0

4 years ago

2/3=x/6=9/y to find the value of y in this proportion you must divide 54 by

scZoUnD [109]

Answer:

You must divide $54$ by $4$

Step-by-step explanation:

we have

$\frac{2}{3}=\frac{x}{6}=\frac{9}{y}$

Step 1

Solve for x

$\frac{2}{3}=\frac{x}{6}$

$3x=6*2\\x=12/3\\x=4$

Step 2

Find the value of y

$\frac{x}{6}=\frac{9}{y}$

Substitute the value of x

$\frac{4}{6}=\frac{9}{y}$

$4y=9*6\\y=54/4\\y= 13.5$

therefore

You must divide $54$ by $4$

6 0

3 years ago

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The cost of a canoe rental is $15 deposit plus $6 per hour.The total rental cost is

Scrat [10]

Answer:

its 90

Step-by-step explanation:

3 0

3 years ago

7x(-3) x (-2)^2<br> help please!

Anvisha [2.4K]

[7×(-3)] × (-2)²
= (-21) × 4
= -84

5 0

4 years ago

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