Answer:
D Antenna #4
Step-by-step explanation:
As per given graph we can write the function
- the intercept is zero, as x=0, y=0
- at x=2, y=30 ⇒ 30= 2*15
- at x=4, y=60 ⇒ 60= 4*15
The slope is 15, so the function is
And the function for the antenna revolving at twice the rate would be
Comparing data in given tables we can see it is D Antenna #4
- x= 22 ⇒ y= 22*30= 660
- x=24 ⇒ y= 24*30= 720
Answer:
5/6
Step-by-step explanation:
There are six sides on a die, and they are asking the probability of not rolling a 4. So it would be 5 out of 6
Have a good day :)
Answer:
-5
Step-by-step explanation:
multiple the second equation by negative then subtract or add the equations and the answer will be negative 5
Answer:
27, 90 and 63
Step-by-step explanation:
Given
Ratio of triangle sides
Required:
The length of each side
Triangles in a triangle add up to 180.
The side with ratio 3 is:
The side with ratio 10 is:
Lastly:
The side with 7 as its ratio
Hence, the angles are: 27, 90 and 63
#1
The uniforms are numbered 0, 1, 2, ..., 99. That's 100 numbers. Half of them are odd and half of them are even. So the probability that any one of the uniforms is odd is 1/2 just like the probability that any one uniform is even is 1/2.
(a) The numbers on the uniforms are independent of one another. That is, the number of her cross-country uniform does not in any way determine the number on her basketball uniform and vice versa. This means that we can find the probability that each is odd and multiply these together using what is called the counting principle. The probability that all are odd is:
(1/2)(1/2)(1/2)=1/8
(b) This is done the same way we did part (a). Since the probability of any one uniform being odd is the same as it being even (1/2), the answer here is the same: (1/2)(1/2)(1/2)=1/8
(c) This problem differs from that in (a) and (b). There is only one way for all three uniforms to be odd numbers: (odd, odd, odd) or all even (even, even, even). However, there are multiple ways for the uniforms to be two odd and one even. If the uniforms are listed in order: cross-country, basketball, softball we can get exactly one even in any of three ways:
even, odd, odd
odd, even, odd
odd, odd, even
The probability for any one of these possibilities is (1/2)(1/2)(1/2)=1/8 but since there are three way the probability that we get even exactly once is equal to (3)(1/8) = 3/8
