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kupik [55]
3 years ago
6

The graphs of two linear equations are shown.

Mathematics
1 answer:
borishaifa [10]3 years ago
7 0

Answer:

(5/46, -99/23)

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Let a and b be the events of the fda approving and rejecting a new drug to treat hypertension, respectively. The events a and b
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The correct option is (d) Mutually exclusive events.

Let a and b be the events of the fda approving and rejecting a new drug to treat hypertension, respectively. The events a and b are mutually exclusive events.

Two events are mutually exclusive or disjoint in logic and probability theory if they cannot both occur at the same time. The results of a single coin toss, which can result in either heads or tails but not both, provide a clear illustration.

A statistical term used to describe events that cannot occur concurrently is "mutually exclusive." It is frequently used to refer to circumstances in which the occurrence of one event takes precedence over the other. For instance, it is impossible for war and peace to exist together. They are therefore opposed to one another.

Learn more about mutually exclusive events here

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What is k if : k!+48=48((k+1)^m)
lys-0071 [83]

Answer:

The value of k is greater than or equal to 0, i.e. k≥7.

Step-by-step explanation:

The given equation is

k!+48=48((k+1)^m)

The value of k must be a positive integer because k! is defined for k≥0, where k∈Z.

Subtract 48 from both the sides.

k!=48((k+1)^m)-48

k!=48((k+1)^m-1)

k!=48(k+1-1)(\frac{(k+1)^m-1}{(k+1)-1})

Using [\frac{r^m-1}{r-1}=r^{m-1}+r^{m-2}+...+1], we get

k!=48k((k+1)^{m-1}+(k+1)^{m-2}+...+1)

Divide both sides by 48k.

\frac{k!}{48k}=(k+1)^{m-1}+(k+1)^{m-2}+...+1

\frac{k(k-1)!}{48k}=(k+1)^{m-1}+(k+1)^{m-2}+...+1

\frac{(k-1)!}{48}=(k+1)^{m-1}+(k+1)^{m-2}+...+1

Note: The value of m can be 0 or 1.

The value of k is positive integer, so the right hand side of the above equation must be a positive integer.

Since RHS of the equation is positive integer, therefore (k-1)! is completely divisible by 48.

k-1\geq 6

Add 1 on both sides.

k\geq 6+1

k\geq 7

Therefore the value of k is greater than or equal to 0.

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4 years ago
Why does the fact family for 81 and 9 only have two number sentences?
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One fact family is 9 times 9 = 81
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