Yvette = 100-7x
Isandro = 0+3x
0+3x = 100 - 7x
0+3x+7x = 100 - 7x +7x
10x = 100
x = 10
So on the 10th time they have the same number, which is 30.
Each number in the sum is even, so we can remove a factor of 2.
2 + 4 + 6 + 8 + ... + 78 + 80 = 2 (1 + 2 + 3 + 4 + ... + 39 + 40)
Use whatever technique you used in (a) and (b) to compute the sum
1 + 2 + 3 + 4 + ... + 39 + 40
With Gauss's method, for instance, we have
S = 1 + 2 + 3 + ... + 38 + 39 + 40
S = 40 + 39 + 38 + ... + 3 + 2 + 1
2S = (1 + 40) + (2 + 39) + ... + (39 + 2) + (40 + 1) = 40×41
S = 20×21 = 420
Then the sum you want is 2×420 = 840.
Answer:
And we can find this probability using the complement rule and the normal standard distribution and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the number of attacks of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule and the normal standard distribution and we got:
Answer:
The kite is 73.4 feet above the ground.
Step-by-step explanation:
125 sin 34=
Cross multiply.
x=69.899112...
x=69.899112...
{Add 3.5, the distance from the ground to her hand:}
Add 3.5, the distance from the ground to her hand:
69.899112...+3.5=
73.399112...
The answer really depends on what b is. Unless you give me a number for what b equals I can’t solve it.