Answer:
around 76.16
Step-by-step explanation:
30 squared + 70 squared = 5800
square root of 5800 = 76.16
a squared + b squared = c squared
Answer: 669
Step-by-step explanation:
Given, In a Gallup poll of randomly selected adults, 66% said that they worry about identity theft.
i.e. The proportion of adults said that they worry about identity theft. (p) = 0.66
Sample size : n= 1013
Then , Mean for the sampling distribution of sample proportion = <em>np</em>
= (1013) × (0.66)
= 668.58 ≈ 669 [Round to the nearest whole number]
Hence, the mean of those who do not worry about identify theft is closest to 669 .
Answer:
Step-by-step explanation:
Ok
Answer:
4.43 inches
Step-by-step explanation:
The volume of the hot tub is
V = l*w*h
We are given the volume in gallons which we need to convert to cubic inches
1 gallon = 231 in^3
350 gallons *231 in ^3/1 gallon = 80850 in ^3
Substituting in what we know, we can find the height of the tub
80850 = 76*60 *h
17.76026316 is the height of the tub
If the tub is 1/4 full
We take 1/4 of the height
1/4 * 17.76 = 4.432565789
The approximate height of the water is 4.43 inches
In 5 years, the ratio of their ages will be 5:1, so the difference in their ages will be 4 ratio units. Those 4 units correspond to 32 years, so each unit corresponds to 32/4 = 8 years.
Thus, in 5 years, Kate will be 8 and her father will be 40. Right now, Kate is ...
... 8 - 5 = 3 years old.
_____
<em>Using equations</em>
Let k represent Kate's current age. Then in 5 years Kate will be k+5, and we will have ...
... 5(k+5) = (k+5)+32 . . the relationship betewen their ages in 5 years
... 5k +25 = k +37 . . . . eliminate parentheses
... 4k = 12 . . . . . . . . . . . add -25-k
... k = 3 . . . . . . . . . . . . . divide by 4
Kate is 3 years old.