Answer:
Multiply each equation by the value that makes the coefficients of
x
opposite.
(
−
3
)
⋅
(
2
x
+
5
y
)
=
(
−
3
)
(
20
)
(
2
)
⋅
(
3
x
−
10
y
)
=
(
2
)
(
37
)
Step-by-step explanation:
To get the probability that at least 8 of the words on the test are words that students know we need to do the following calculations.
<span>=[C(16,8)*C(10,2) + C(16,9)*C(10,1) + C(16,10)*C(10,0)] / C(26,10)
</span>
=0.132
Answer:
60
Step-by-step explanation:
I would assume you want the answer step-by-step:
We can count carefully and read the question again.
It is asking for us to count by tens or add ten to the most recent integer in the pattern.
In that case, we can see that our answer will by 50 + 10 = 60.
Also, note, that this question is not very intellectually challenging! Next time ask a question like "What do they mean when they say this?" If you don't understand the wording.
Answer:
b
Step-by-step explanation:
b
Answer:
x² + (y + 5)² = 100
Step-by-step explanation:
If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).
Using the equation of a circle with center (h, k)
(x - h)² + (y - k)² = r² where r = radius of the circle.
Given that r = 10 units, and substituting the values of the other variables into the equation, we have
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-5))² = 10²
x² + (y + 5)² = 100
which is the equation of the circle.
