Answer:
1. 7:1
2. 1:8
Step-by-step explanation:
1. Start by counting the number of triangles. We see: 56 triangles. Then, count the hearts. We see: 8 hearts.
So, the ratio of triangles to hearts is 56:8 which we simplify to get: 7:1.
2. Start by adding triangles to hearts. We get: 56+8 which equals 64.
The amount of hearts equals 8 so the ratio of hearts to (hearts + triangle) is! 8:64 which equals 1:8.
Answer:
the probability that the woman is taller than the man is 0.1423
Step-by-step explanation:
Given that :
the men's heights are normally distributed with mean
68
standard deviation
= 3.1
And
the women's heights are normally distributed with mean
65
standard deviation
= 2.8
We are to find the probability that the woman is taller than the man.
For woman now:
mean
= 65
standard deviation
= 2.8

![\\ 1 -p \ P[(x - \mu ) / \sigma < (68-25)/ 2.8]](https://tex.z-dn.net/?f=%5C%5C%201%20-p%20%20%5C%20P%5B%28x%20-%20%5Cmu%20%29%20%2F%20%5Csigma%20%3C%20%2868-25%29%2F%202.8%5D)
= 1-P (z , 1.07)
Using z table,
= 1 - 0.8577
= 0.1423
Thus, the probability that the woman is taller than the man is 0.1423
Answer:
Julia has enough gas to mow the two yards.
Step-by-step explanation:
Given:
Julia needs
gallon of gas to mow first yard.
Julia needs
gallon of gas to mow second yard.
Julia has a total of
gallon of gas in in her can.
To find whether she has enough to mow both yards.
Solution:
Total gallons of gas needed to mow two yards can be found out by :
⇒ 
Taking LCD =80.
⇒ 
⇒ 
Adding the numerators.
⇒ 
⇒ 1.2125 gallons
Julia has
gallon = 1.5 gallons of gas in in her can.
Since
, thus we can say that Julia has enough gas to mow the two yards.
Answer:
D r = 4 − 4 cos(θ)
Step-by-step explanation:
Right on edge
Answer:
2x^2-18x
Step-by-step explanation: