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charle [14.2K]
3 years ago
13

Need answers asap rnn

Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0

Answer: of each shape? 3 & 4?

Step-by-step explanation:

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The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation that rela
Alexxx [7]

Answer:

y=(5/3)x

Step-by-step explanation:

Since y varies directly with x, then the constant of proportionality is equal to k=y/x. Since y/x=20/12=5/3, then k=5/3. This means the equation to relate x and y is y=(5/3)x

7 0
3 years ago
If f(x) is a third degree polynomial function, how many distinct complex roots are possible?
monitta

Answer:

0 or 2

Step-by-step explanation:

The Fundamental theorem of Algebra states that a polynomial of degree n has n roots.

Since degree 3 then there are 3 possible roots

Since complex roots occur in conjugate pairs then

There can be 0 or 2 complex roots.

3 0
3 years ago
Read 2 more answers
A certain system can experience three different types of defects. Let Ai (i = 1,2,3) denote the event that the system has a defe
emmainna [20.7K]

a.

P({A_1}^c)=1-P(A_1)=\boxed{0.86}

b.

P(A_1\cap A_2)=P(A_1)+P(A_2)-P(A_1\cup A_2)=\boxed{0.07}

c. By the law of total probability,

P({A_3}^c)=P((A_1\cap A_2)\cap{A_3}^c)+P((A_1\cap A_2)^c\cap{A_3}^c)

According to the inclusion/exclusion principle,

P((A_1\cap A_2)^c\cap{A_3}^c)=P((A_1\cap A_2)^c)+P({A_3}^c)-P((A_1\cap A_2)^c\cup{A_3}^c)

but by DeMorgan's law,

(A_1\cap A_2)^c\cup{A_3}^c={A_1}^c\cup{A_2}^c\cup{A_3}^c=(A_1\cap A_2\cap A_3)^c

So

P((A_1\cap A_2)^c\cap{A_3}^c)=(1-P(A_1\cap A_2))+(1-P(A_3))-(1-P(A_1\cap A_2\cap A_3))

and from there we find

P(A_1\cap A_2\cap{A_3}^c)=P((A_1\cap A_2\cap A_3)^c)-P((A_1\cap A_2)^c)=\boxed{0.05}

d. The event of having at most two of these defects is complementary to the event that all three defects occur simultaneously:

P((A_1\cap A_2\cap A_3)^c)=1-P(A_1\cap A_2\cap A_3)=\boxed{0.98}

3 0
3 years ago
What's the answer to x+5=10
noname [10]
X=5 because you subtract 5 from both sides and then you get x=5 remainding
6 0
3 years ago
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“If it is July then it is summer, and it is not July therefore it is not summer” Is this reasoning valid? Why or why not?
MAVERICK [17]

Answer:

No

Step-by-step explanation:

Summer starts in June and ends in August, so this is not valid.

Bam

6 0
3 years ago
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