Answer:
1030
Step-by-step explanation:
30+1000=1030
Answer:
Step-by-step explanation:
1. Given that the local ice cream shop is deciding whether or not to hire a new worker. The shop must pay the worker hourly and cover a daily cost for insurance. The cost to pay an hourly worker for one day is represented by the function y=10x+30 where x=hours.
We find that this is of the form y = mx + B where
m = 10 and B = 30
Hence slope = m = 10
Answer is 10,
and it represents the rate of change of y for a unit change in x.
2. The answer is the third option "No; the data doesn't suggest a causation, and many people are healthy who don't exercise." Correlation is two data set that are linked or connected together so in this case it would be a correlation because all of the data is close and connected to each other.
3. The answer is "Correlation, because time of day doesn't cause a person to run faster or slower ".
That's the correct answer because causation would mean there is a cause and effect and in the question, there is no cause. It can't be the last one because there is enough information. It also can't be the third one because there is a relationship since he shown he runs faster in the evening. Also I took the test and it was right!
Answer:
ST = 4
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
ST = 
PQ substitute values
- 32 + 9x = (- 5x + 28) ← multiply both sides by 2 to clear the fraction
- 64 + 18x = - 5x + 28 (add 5x to both sides )
- 64 + 23x = 28 ( add 64 to both sides )
23x = 92 ( divide both sides by 23 )
x = 4
Then
ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4
Answer: 1) 0.6561 2) 0.0037
Step-by-step explanation:
We use Binomial distribution here , where the probability of getting x success in n trials is given by :-
, where p =Probability of getting success in each trial.
As per given , we have
The probability that any satellite dish owners subscribe to at least one premium movie channel. : p=0.10
Sample size : n= 4
Let x denotes the number of dish owners in the sample subscribes to at least one premium movie channel.
1) The probability that none of the dish owners in the sample subscribes to at least one premium movie channel = 
∴ The probability that none of the dish owners in the sample subscribes to at least one premium movie channel is 0.6561.
2) The probability that more than two dish owners in the sample subscribe to at least one premium movie channel.
= ![P(X>2)=1-P(X\leq2)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\= 1-[0.6561+^4C_1(0.10)^1(0.90)^{3}+^4C_2(0.10)^2(0.90)^{2}]\\\\=1-[0.6561+(4)(0.0729)+\dfrac{4!}{2!2!}(0.0081)]\\\\=1-[0.6561+0.2916+0.0486]\\\\=1-0.9963=0.0037](https://tex.z-dn.net/?f=P%28X%3E2%29%3D1-P%28X%5Cleq2%29%5C%5C%5C%5C%3D1-%5BP%28X%3D0%29%2BP%28X%3D1%29%2BP%28X%3D2%29%5D%5C%5C%5C%5C%3D%201-%5B0.6561%2B%5E4C_1%280.10%29%5E1%280.90%29%5E%7B3%7D%2B%5E4C_2%280.10%29%5E2%280.90%29%5E%7B2%7D%5D%5C%5C%5C%5C%3D1-%5B0.6561%2B%284%29%280.0729%29%2B%5Cdfrac%7B4%21%7D%7B2%212%21%7D%280.0081%29%5D%5C%5C%5C%5C%3D1-%5B0.6561%2B0.2916%2B0.0486%5D%5C%5C%5C%5C%3D1-0.9963%3D0.0037)
∴ The probability that more than two dish owners in the sample subscribe to at least one premium movie channel is 0.0037.
A shape with rotational symmetry means it looks the same after a rotation. The image at number 3 is the only one that has rotational symmetry so answer yes for 3 and no for 1 and 2 okay
