Answer:
<OPQ = 23 degrees
Step-by-step explanation:
Given
Interior angles m∠PNO=(x+14) and m∠NOP=(x−1)
Exterior angle = m<OPQ = (5x-2)
The sum of interior angles is equal to the exterior angle, that is;
m∠PNO+m∠NOP = m<OPQ
x+14 + x-1 = 5x-2
2x + 13 = 5x-2
Collect like terms;
2x-5x = -2-13
-3x = -15
x = 15/3
x = 5
Get <OPQ
<OPQ = 5x - 2
<OPQ = 5(5)- 2
<OPQ = 25-2
<OPQ = 23 degrees
Answer:
4x4 - x3 + 7x2 + 13x - 10
Step-by-step explanation:
(((4•(x4))+7x2)+6x)-(x3-7x+10)
((22x4 + 7x2) + 6x) - (x3 - 7x + 10)
3.1 Find roots (zeroes) of : F(x) = 4x4-x3+7x2+13x-10
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 4 and the Trailing Constant is -10.
of the Leading Coefficient : 1,2 ,4
of the Trailing Constant : 1 ,2 ,5 ,10
Final result :
4x4 - x3 + 7x2 + 13x - 10
hope this helps:)sorry if it doesnt
Answer:
Step-by-step explanation:
We'll use the standard equation y=mx+b to solve this problem. m is the slope of the line and b is the y intercept.
We know the slope, but we have to solve for the y intercept. To do this (I mean solve for 'b'), we need to know the slope, x value, and y value. We know the slope (-2/3), x= -3, and y=8. Let's plug this into y=mx+b and solve for b.
Let's plug all of this back into the first equation y=mx+b.
That's the answer to this problem.
I hope this helps.
Answer:
b. A smaller sample size would increase the effectiveness of a hypothesis test.
Step-by-step explanation:
A hypothesis test is an important procedure in the field of statistics. It evaluates any two mutually exclusive statements about a population that determines and tells which statement made best supports to the sample data provided.
Now we know that an increase in the sample size makes the hypothesis test more effective and sensitive and it is more likely to reject the null hypothesis.
The probability of making a type I error is known as the Alpha while the probability of making type II error is called Beta.
Thus the correct option is (b).
Answer:
6 - F - R = 2
Step-by-step explanation:
Since six eggs sat in a basket overnight, and a fox came and took an unknown amount, and a raccoon came and took an unknown amount, with which in the morning there were only two eggs left, to write an equation showing how six eggs were reduced to two eggs the following reasoning must be raised:
6 = Starting number
F = Eggs stolen by the fox
R = Eggs stolen by the raccoon
6 - F - R = 2
