Answer:
I think the answer is -140
Answer:
Step-by-step explanation:
Sting lights outlining the stage means that they will go around the perimeter, so we will need to find that. It gives us the area and the fact that the dimensions, length and width, will be whole numbers.
How do you find the area of a rectangle? you multiply length by width. So we need to find two numbers that multiply together to make 42. There re multiple pairs of numbers that do that, but the question is asking for what the least number of yards of string lights, so we need to find the values that make the perimeter the smallest.
Of course the perimeter is adding up all the sides. Since there are two lengths and two widths we can solve that like this
length + length + width + width
2* length + 2*width.
Now we just have to check all the options. What numbers multiply together to make 42?
2 and 21
6 and 7
14 and 3
Now we just have to check which gives the smallest perimeter
2*2 + 2*21 = 4 + 42 = 46
6*2 + 7*2 = 12 + 14 = 36
14*2 + 3*2 = 28 + 6 = 34
So the smallest perimeter is the second one, where one of the measurements is 6 yards and the other measurement is 7 yards. There's your answer.
The zeros for this function are -2, -1 and a double root of 0.
You can find this by first factoring the polynomial on the inside of the parenthesis. Polynomials like this can be factored by looking for two numbers that multiply to the constant (2) and add up to the second coefficient (3). The numbers 2 and 1 satisfy both of those needs and thus can be used as the numbers in a factoring.
x^2(x^2 + 3x + 2)
x^2(x + 2)(x + 1)
Now to find the zeros, we set each part equal to 0. You may want to split the x^2 into two separate x's for this purpose.
(x)(x)(x + 2)(x + 1)
x = 0
x = 0
x + 2 = 0
x = -2
x + 1 = 0
x = -1
Answer: 10
Step-by-step explanation:
The formula used for standard error is :-
, where is population standard deviation and n is the sample size.
Given: n = 4
Then, the difference would expected between the sample mean and the population mean will be :
Hence, the expected difference between the sample mean and the population mean = 10
Answer: -3/4
Step-by-step explanation:
first you have to apply distributive, which would end in 16x +24 =12, then apply the substraction property, which would end in 16x= -12 then pass 16 as dividing which would end in -12/16, which simplified is -3/4. Hope this helps!