Answer:
2) 1
3) 9
4) 78
Step-by-step explanation:
2)
1 showed up the most
3)
range = max value - min value
range = 9 - 0
range = 9
4)
mode means which showed up the most,
78 showed up the most
Answer:
Step-by-step explanation:
Given,

we know,
(f-g)(x)=f(x)-g(x)
So, here we get
(f-g)(x)
=f(x)-g(x)
=
=
=
=
So, the answer is

Answer:
- Mean score=120
Step-by-step explanation:
- Areas of a triangle add upto 180degrees (63+78+x=180) 141+x= (x=180-141) x=39
- Areas on a straight line add upto 180degrees
180-78=102
180-63=117
180-39=141
- 102+117+141=360
- Mean=360/3 =120
Answer:
a) 1 / 12
b) 1 / 4
Step-by-step explanation:
The events are independent since they do not affect each other. The total probability of two independent events is the product of the probabilities of the two events.
a) When rolling a die, there are 6 outcomes, the numbers 1 - 6. There is only 1 outcome where you can get a 2. Therefore, the probability of rolling a two is 1/6.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with heads. The probability of getting head would be 1 / 2.
To find the the total, you multiply the probabilities of the two events: 1 / 6 * 1 / 2 = 1 / 12
b) As stated before, when rolling a die, there are 6 outcomes, the numbers 1 - 6. There are 3 outcomes where she can roll an even number: the numbers 2, 4, or 6. So, the probability of rolling an even number is 3 / 6 or 1 / 2.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with tails. The probability of getting tails would be 1 / 2.
Now, you multiply the two probabilities to get the total probability: 1 / 2 * 1 / 2 = 1 / 4
Answer:
36:85
Step-by-step explanation:
Given the right angled triangle as shown in the attachment, the cos of angle N can be gotten by simply using the CAH method in SOH CAH TOA.
According to CAH
Cos∠N = Adjacent/Hypotenuse
Hypotenuse is the longest of the triangle |ON| = 85
Since the opposite side to ∠N is 77, the third side will be the Adjacent side.
Adjacent side will be |NP| = 36
Therefore:
Cos∠N = 36/85
The ratio that represents the cosine of ∠N is 36:85