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3 years ago

If you toss a coin 4 times what is the probability of getting all heads

1 answer:

3 0

What is the probability that you will get exactly zero heads? What is the probability that you will get exactly one head? What is the probability that you will get exactly 4 head? If it helps, there are 2 to the 4th power... 24 possibilities for the sequence of four flips. Try writing them all out and see if you can spot a pattern.

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To the nearest tenth, find the perimeter of ∆ABC with vertices A(-1,4), B(-2,1) and C(2,1).

swat32

First we need to find the length of each side of the triangle , and for that we need to use the distance formula, that is
$d =\sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2}$
$AB = \sqrt{(1-4)^2 +(-2+1)^2}= \sqrt{10}$
$\sqrt{BC} = \sqrt{(1-1)^2 + (2+2)^2}=4$
Perimeter is the sum of all sides.
$Perimeter = AB + BC + AC = \sqrt{10}+4 +\sqrt{18}$
$Perimeter= 11.4$

7 0

3 years ago

How do I find the sum of this series? Question D

raketka [301]

Sum of an infinite geometric sequence with the common ratio r, and the first term a1 is $\frac{a_1}{1-r}$

we notice
-2 times -1/4=1/2,
1/2 times -1/4=-1/8
so a1=-2
r=-1/4 or -0.25

so the sum is
$\frac{-2}{1-(-0.25)}$ =
$\frac{-2}{1+0.25}$ =
$\frac{-2}{1.25}$ =
$\frac{-8}{5}$ =
the sum is -8/5 or -1.6

8 0

4 years ago

What is the factor of 25a2+b2?

Neko [114]

Answer:

(5a+b)⋅(5a−b)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "b2" was replaced by "b^2". 1 more similar replacement(s).

STEP

Equation at the end of step 1

52a2 - b2

STEP

Trying to factor as a Difference of Squares

2.1 Factoring: 25a2-b2

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5

Check : a2 is the square of a1

Check : b2 is the square of b1

Factorization is : (5a + b) • (5a - b)

7 0

3 years ago

Need help on this question

Alja [10]

He uses 15 gallons. Because 270/6 = 45. Meaning he drives 45 miles per gallon. So 675/45=15. 15 gallons he will need to use to drive 675 miles.

7 0

3 years ago

Twice the difference of a number c and forty.

dybincka [34]

Answer:

Equation ----> 2(c - 40)

c = -40

Step-by-step explanation:

2(c - 40)

= (2c) - (80)

= 2c - 80

= $\frac{2c}{2}$ + $(\frac{-80}{2})$

c = -40

4 0

3 years ago

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