Answer:
The perimeter of the dog run will use 67.2 feet of fencing.
Step-by-step explanation:
First find how long the width is.
24 * 2/5 = 9.6
The width of the fence is 9.6 feet.
To find the total perimeter, add double the length and width.
24 * 2 = 48
9.6 * 2 = 19.2
48 + 19.2 = 67.2
The product of all integers from 1 to 100 is 100!. The formula actually counts the number of factors 5 in n!, but since there are at least as many factors 2, this is equivalent to the number of factors 10, each of which gives one more trailing zero.May 15, 2020
The true statement about Sam’s conjecture is that the conjecture is not correct
<h3>How to determine if Sam’s conjecture is correct or not?</h3>
Sam’s conjecture is given as:
For x ≤ - 2
It is true that x^5 + 7 > x^3.
The inequality x ≤ - 2 means that the highest value of x is -2
Assume the value of x is -2, then we have:
(-2)^5 + 7 > (-2)^3
Evaluate the exponents
-32 + 7 > -8
Evaluate the sum
-25 > -8
The above inequality is false because -8 is greater than -25 i.e. -8 > -25 or -25 < -8
Hence, the true statement about Sam’s conjecture is that the conjecture is not correct
Read more about conjectures at
brainly.com/question/20409479
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Answer:
a) 
And we can find this probability using the normal standard table or excel and we got:
b) 
And we can find this probability using the complement rule and the normal standard table or excel 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".
Part a
Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:
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 normal standard table or excel and we got:
Part b
And we can find this probability using the complement rule and the normal standard table or excel and we got:
:) Brainliest pls?
Answer:
The zeros are {2, -3, -4} which need to be plotted on the x-axis.
Step-by-step explanation:
I'll find the zeros, aka x-intercepts, and you could probably graph them.
To find the zeros, let's factor this polynomial:
r(x) = (x - 2)(x^2+7x+12)
r(x) = (x - 2)(x + 3)(x + 4)
The zeros are {2, -3, -4} which need to be plotted on the x-axis.
