Answer:
24
Step-by-step explanation:
15+ + 1.5pi
19.7+
23.95
The translation rule from the blue figure to the black figure is -
There are three types of translations -
Given is that the blue figure is a translation of the black image.
We can write the translation rule as -
Hence, the translation rule from the blue figure to the black figure is -
Read more on translations at:
The complete question is attached below.
Let the event J = correct problems solved by Jacqueline,
and the event M = correct problems solved by Marc.
A. P(J) × P(M) = P(J ∩ M)
B. The probability that Jacqueline and Marc both can solve a problem in a math test is 0.93.
C. P(J) × P(M) = P(J ∪ M)
D. J and M are independent events.
E. The probability that Jacqueline and Marc both can solve a problem in a math test is 0.52
Answer:
Option A , D and E holds.
Step-by-step explanation:
Let the event J = correct problems solved by Jacqueline,
and the event M = correct problems solved by Marc.
Jacqueline solved 80% of problems correctly in a math
So, probability of correct problems solved by Jacqueline P(J)=0.80
Marc solved only 65% of the problems correctly.
So, probability of correct problems solved by Marc P(M)=0.65
Probability of correct problems Solved by Marc and Jacqueline :
=
=
=
So, Option E is correct.
we also know that and means intersection .
So, P(J) × P(M) = P(J ∩ M)
So, Option A is also correct.
Since option A holds .
So, property of independent events is satisfied :
Thus Option D also holds.J and M are independent events.
Hence Option A , D and E holds.
Answer:
Value is 7
Step-by-step explanation:
We are given the expression, .
It is required to evaluate the expression for c= 8.
So, after substituting the value of c= 8 in the given expression, we get,
= = 7
Hence, the value of the expression at c= 8 is 7.
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV
Answer:
III
Step-by-step explanation:
go 14 left and 5 down, and you're in the third quadrant
Answer:
III (Third quadrant)
Step-by-step explanation:
Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant. Hope this helps! :)
The scale factor of the dilation is calculated by dividing the length of the line after dilation by the length of the initial line. The length of a line is calculated using the distance formula. The center of dilation is the point from which the shape scales, but we can't determine its location without more information.
To find the scale factor of a dilation in a two-dimensional plane, we divide the length of the line after dilation by the length of the initial line. The length of a line can be calculated using the distance formula which is √[(x₂ - x₁)² + (y₂ - y₁)²].
For AB, the distance will be √[(5 - 9)² + (-4 - 4)²] = √[(-4)² + (-8)²] which equals √80. For A'B', the distance will be √(3 - 6)² + (-3 - 3)² = √[(-3)² + (-6)²] which equals √45. The scale factor (k) of the dilation is the ratio of these distances, so k = √45 / √80 which simplifies to √(9/16) or 3/4.
Unfortunately, without more information, such as a fixed point in the original shape, we can't determine the exact location of the center of dilation. But, conceptually, it's the point that the shape is scaling towards or away from during the dilation.
#SPJ11
Let
n-------> the number of nickels
d-------> the number of dimes
we know that
so
-----> equation A
-------> equation B
substitute equation B in equation A
------> equation that can be used to find n
Solve for n
find the value of d
therefore
the answer is
The equation that can be used to find n is
The number of nickels in the collection is