Answer:
c) 0.6827
Step-by-step explanation:
We have to find P(-1<Z<1) by using z-table
P(-1<Z<1) = P(Z<1) – P(Z<-1)
P(-1<Z<1) = 0.841345 - 0.158655
P(-1<Z<1) = 0.682689
P(-1<Z<1) = 0.6827
Let 1st integer = xLet 2nd integer = x + 1 We set up an equation. x(x + 1) = 195 x2 + x = 195 x2 + x - 195 = 0
We will use the quadratic formula: x = (-b ± √(b2 - 4ac) / (2a) x = (-1 ± √(1 - 4(-195))) / 2 x = (-1 ± √(781)) / 2 x = (-1 ± 27.95) / 2 x = 13.48x = -14.78
<span>We determine which value of x when substituted gives us a product of 195.</span> 13.48(14.48) = 195.19-14.48(-13.48) = 195.19 <span>The solution is 2 sets of two consecutive number</span> <span>Set 1</span> The 1st consecutive integer is 13.48The 2nd consecutive integer is 14.48
<span>Set 2</span> The 1st consecutive integer is -14.48The 2nd consecutive integer is -13.48Hopefully this helped, hard work lol :)
Using mathematical operations we can conclude that the area of the given figure is 40 units².
<h3>
What are mathematical operations?</h3>
- An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
- The operation's arity is determined by the number of operands.
- A mathematical action is called an operation.
- Mathematical operations include addition, subtraction, multiplication, division, and finding the root.
So, the area of the figure:
Where x = 4, so the expression will become:
Now, do the mathematical operations to get the area of the figure as follows:
- x² + x² + x + x
- 4² + 4² + 4 + 4
- 16 + 16 + 8
- 40
'
Therefore, using mathematical operations we can conclude that the area of the given figure is 40 units².
Know more about mathematical operations here:
brainly.com/question/20628271
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Answer:
C.67
Step-by-step explanation:
Use the Pythagorean Theorem to solve this. First find the missing side. 23 squared plus 16 squared. Which equals 785 then you just find the square of that and it is 67.
Viola has 13 already.
She is going to work 15 days and make 12 each day. 15 x 12 = 180 new baskets.
Add the old and the new - 13 + 180 = 193 baskets total.
