Answer:
I think that her taking the skateboard is 4 times as fast as her walking.
Step-by-step explanation:
I got this because she traveled twice as long and twice as fast on the skateboard, so if you multiply it together, there u have it.
Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.
Step-by-step explanation:
Firstly, the yield for stocks will be calculated as:
= return/ investment cost
= $3.15/$ 21.38
= 0.14733395
= 14.73%
The yield for bonds will be calculated as:
= Return/Investment cost
Return = 1,000 x 8.3% = 83
Investment cost = 1,000 x 105.166/100 = 1051.66
Yield = 83/1051.66
= 0.07892284
= 7.89%
Then, the difference between the yield will be:
= 14.73% - 7.89%
= 6.84%
Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.
So,
We need to convert the gallons into cups.
1 gal. = 16 c.
2 3/4 gal. = 2(16) + 3/4(16) = 32 + 12 = 44
3 5/8 gal. = 3(16) + 5/8(16) = 48 + 10 = 58
5 gal. = 5(16) = 80
There are 20 + 15 = 35 people. Therefore, Bob's friends will drink a total of 35 cups of lemonade, 35 cups of punch, and 35 cups of soda. We just need to subtract these amounts from what Bob has.
44 - 35 = 9 cups of lemonade
58 - 35 = 23 cups of punch
80 - 35 = 45 cups of soda
Obviously, then, Bob will have enough drinks.
He has 9 cups of lemonade, 23 cups of punch, and 45 cups of soda left over. In gallons, he has 9/16 gallons of lemonade, 1 7/16 gallons of punch, and 2 13/16 gallons of soda left over.
Answer:
0.6495
Step-by-step explanation:
This is question based on conditional probability
The probability that a customer plans to make a purchase = 0.32.
The probability that a customer plans not to make a purchase = 1 - 0.32
= 0.68
The probability of responding to an advertisement given that the customer plans to make a purchase = 0.63
The probability of responding to an advertisement given that a person does not plan to make a purchase = 0.16.
Given that a person responds to the advertisement, what is the probability that they plan to make a purchase is calculated as:
0.32 × 0.63/(0.32 × 0.63) + (0.16 × 0.68)
= 0.2016/ 0.2016 + 0.1088
= 0.2016/0.3104
= 0.6494845361
Approximately = 0.6495
<h3>
Answer: 30.78181 meters</h3>
The value is approximate. Round that however you need to.
========================================================
Explanation:
- lowercase a = side opposite angle uppercase A
- lowercase b = side opposite angle uppercase B
- b = AC
Using the law of sines, we can say:
a/sin(A) = b/sin(B)
45/sin(30) = b/sin(20)
b/sin(20) = 45/sin(30)
b = sin(20)*45/sin(30)
b = 30.78181 approximately
You'll need to make sure your calculator is in degree mode.
