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3 years ago

Which number line best shows how to solve -4-(-8)

Mathematics

1 answer:

Rama09 [41]3 years ago

7 0

Answer:

The first point should be plotted at -4, then there should be a line that goes up 8 units and gives us a final destination of 4.

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A coin is tossed 10 times. True or false, and explain: (a) The chance of getting 10 heads in a row is 1/1,024. (b) Given that th

Llana [10]

Answer:

a and b both are true.

Step-by-step explanation:

Given : A coin is tossed 10 times.

To find : True or false, and explain ?

Solution :

(a) The chance of getting 10 heads in a row is $\frac{1}{1024}$

Coin has two face head and tail.

The probability of getting head is $P(H)=\frac{1}{2}$

The probability of getting 10 heads in a row is

$P=(P(H))^{10}$

$P=(\frac{1}{2})^{10}$

$P=\frac{1}{1024}$

The chance of getting 10 heads in a row is $\frac{1}{1024}$ is true.

(b) Given that the first 9 tosses were heads, the chance of getting 10 heads in a row is $\frac{1}{2}$ .

The probability of getting 10 heads in a row is $P_1=(\frac{1}{2})^{10}$

The probability of getting 9 tosses were heads is $P_2=(\frac{1}{2})^{9}$

Given that the first 9 tosses were heads, the chance of getting 10 heads in a row is given by,

$P=\frac{P_1}{P_2}$

$P=\frac{(\frac{1}{2})^{10}}{(\frac{1}{2})^{9}}$

$P=(\frac{1}{2})^{10-9}$

$P=\frac{1}{2}$

Given that the first 9 tosses were heads, the chance of getting 10 heads in a row is $\frac{1}{2}$ is true.

3 0

4 years ago

A line that is perpendicular to the graph of 3x+2y=6 and contains the point (6,-3)

sdas [7]

Answer:

y = (-2/3)x +1

Step-by-step explanation:

The standard equation of a line is: y=mx+b where m-is the slope, and b-is the y intercept. Rewrite the given equation in standard form.

3x+2y = 6

2y = 3x+6

y= (3/2)x+3

So the given equation has the slope m =3/2 and y-intercept= 3

A line ⊥ to the given line will have the slope <u>negative reciprocal </u>so the line is

y= (-2/3 )x +b

To find b will substitute the given point (6,-3) in the new found equation

-3= (-2/3 )6 +b

-3= -4 +b

-3+4 = b

1 = b

The equation of the line that is perpendicular to the graph of 3x+2y=6 and contains the point (6,-3) is y = (-2/3)x +1

8 0

3 years ago

Charlie fancies ice cream candy bars and wants to share 3/4 of them with his friends. If he gives one to each of his 12 friends,

devlian [24]

Hdjcvjhduhdjvdfhthssngdhhhgdhh

5 0

4 years ago

A. find the value of a. B. Find the value of the marked angles.

Marat540 [252]

The marked angles are opposite angles, and as such they have the same measure. So, we have

$6a+11 = 2a+83$

Subtract 2a and 11 from both sides to get

$4a = 72$

Divide both sides by 4 to get

$a = \dfrac{72}{4} = 18$

Now that we know the value of a, we can compute the measure of the angles. We can also verify that the solution we found is correct by verifying that both expressions actually give the same result:

$6a+11 = 6\cdot 18 + 11 = 119$

$2a+83 = 2\cdot 18 + 83 = 119$

8 0

4 years ago

Read 2 more answers

2 in 1. Intermediate Algebra

laila [671]

So the first one is (7x)^(1/2) or square root of 7x minus - 5 square root all squared so

([7x^(1/2)]-[5^(1/2)]) times ([7x^(1/2)]-[5^(1/2)])

or 7x-(35x^(1/2))-5+(35x^(1/2)) or 7x-5

number 2
since 11 is 1/2 of 22 it can be written as

the square root of 3 or 3^(1/2)

5 0

4 years ago