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3 years ago

What is five fourths of a right angle

2 answers:

7 0

A right angles is 90 degrees
if you mean 5/4 of the MEASURE of a right angle then
90 times 5/4 (because in math 'of' means multiply)
90 tmes 5/4=450/4=225/2=112.5 degrees

SVETLANKA909090 [29]3 years ago

4 0

5/4 of 90 degrees:
90*5/4=112.5 degrees

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A fair coin is tossed three times and the events A, B, and C are defined as follows: A: \{ At least one head is observed \} B: \

Yanka [14]

Answer:

a) $P(A)=0.875$

b) $\text{P(A or B)}=0.875$

c) $\text{P((not A) or B or (not C))}=0.625$

Step-by-step explanation:

Given : A fair coin is tossed three times and the events A, B, and C are defined as follows: A: At least one head is observed, B: At least two heads are observed, C: The number of heads observed is odd.

To find : The following probabilities by summing the probabilities of the appropriate sample points ?

Solution :

The sample space is

S={HHH,HHT,HTT,HTH,TTT,TTH,THH,THT}

n(S)=8

A: At least one head is observed

i.e. A={HHH,HHT,HTT,HTH,TTH,TTH,THH,THT}

n(A)=7

B: At least two heads are observed

i.e. B={HHH,HTT,TTH,THT}

n(B)=4

C: The number of heads observed is odd.

i.e. C={HHH,HTT,THT,TTH}

n(c)=4

a) Probability of A, P(A)

$P(A)=\frac{n(A)}{n(S)}$

$P(A)=\frac{7}{8}$

$P(A)=0.875$

b) P(A or B)

Using formula,

$\text{P(A or B)}=P(A)+P(B)-\text{P(A and B)}$

$\text{P(A or B)}=\frac{n(A)}{n(S)}+\frac{n(B)}{n(S)}-\frac{\text{n(A and B)}}{n(S)}$

$\text{P(A or B)}=\frac{7}{8}+\frac{4}{8}-\frac{4}{8}$

$\text{P(A or B)}=\frac{7}{8}$

$\text{P(A or B)}=0.875$

(c) P((not A) or B or (not C))

A={HHH,HHT,HTT,HTH,TTH,TTH,THH,THT}

not A = {TTT} = 1

B={HHH,HTT,TTH,THT}

C={HHH,HTT,THT,TTH}

not C = {HHT,HTH,THH,TTT} = 4

So, not A or B or not C = {HHH,HHT,HTH,THH,TTT}=5

$\text{P((not A) or B or (not C))}=\frac{5}{8}$

$\text{P((not A) or B or (not C))}=0.625$

4 0

3 years ago

If you apply the changes below to the cubic parent function, F(x)=x3, what is the equation of the new function if it reflects ac

gavmur [86]

Answer:

g(x) = 7(-x)³

Step-by-step explanation:

The cubic parent function is given as; f(x) = x³

Now, we are told that it reflects across the y-axis. This means that the new function will take the form;

g(x) = f(-x)

Thus, the new function is;

g(x) = (-x)³

Now,we are told that this new function stretches by multiplying by 7. Thus, we now have;

g(x) = 7(-x)³

6 0

3 years ago

The point (2.5, 1) is also on the line. What is the vertical change between (2.5, 1) and (5, 2)? What is the horizontal change?

BabaBlast [244]

Answer:

In a general point (x, y) the horizontal component is the x-component, and the vertical component is the y-component.

then if we have the points (a, b) and (c, d)

The vertical distance or change between these points will be the difference between the y-components, and the horizontal distance or change is the difference between the x-components.

Then the vertical change between the points (2.5 , 1) and (5, 2) is:

2 - 1 = 1 unit.

The horizontal change between the points (2.5, 1) and (5, 2) is:

5 - 2.5 = 2.5 units.

4 0

3 years ago

Convert 8 7/9 yard into in

ZanzabumX [31]

Answer:

316 in.

Step-by-step explanation:

12 inches = 1 foot

8 feet. = 96 inches

And, add 7/9 of a yard.

Your answer is 316 in.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Thanks so much for any help!!

alekssr [168]

Answer:

7/5

Step-by-step explanation: To find the square root of a fraction, find the square root of the top and bottom.

Please thank, hope this helps.

6 0

2 years ago