1Convert the following equation to slope-intercept formy-3=\frac{1}{8}\left(x+8\right)y−3=8(x+8)

Mathematics

1 answer:

zimovet [89]3 years ago

6 0

Answer:

y = 8x + 67

Step-by-step explanation:

The equation of a line in slop- intercept form is

y = mx + c

Given

y - 3 = 8(x + 8) ← distribute parenthesis

y - 3 = 8x + 64 ( add 3 to both sides )

y = 8x + 67 ← in slope- intercept form

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Find the number of ways to distribute six different toys to three different children such that each child gets at least one toy.

Lisa [10]

Answer:

Step-by-step explanation:

Given that there are six different toys and they are to be distributed to three different children.

The restraint here is each child gets atleast one toy.

Let us consider the situation as this.

Since each child has to get atleast one toy no of ways to distribute

any 3 toys to the three children each. This can be done by selecting 3 toys from 6 in 6C3 ways and distributing in 3! ways

So 3 toys to each one in 6x5x4 =120 ways

Now remaining 3 toys can be given to any child.

Hence remaining 3 toys can be distributed in 3x3x3 =27 ways

Total no of ways

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3 years ago

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe

-Dominant- [34]

Answer: 0.0031

Step-by-step explanation:

Binomial distribution formula :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes in the n independent trials of the experiment and p is the probability of success.

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Now, $P(x\leq3)=P(3)+P(2)+P(1)+P(0)$

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