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2 years ago

Find a function whose graph is a parabola with vertex (4,-5) and that passes through the point (2, 3).

Mathematics

1 answer:

algol [13]2 years ago

4 0

Answer:

4 ,-5

Step-by-step explanation:

<h3>I hope it's helpful for you </h3>

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The ordered pair D (-4,-2) has been plotted for you. If you reflected coordinate d over the x-axis, which point from part A woul

Serjik [45]

A= (-4,2)

The x value (-4) stays the same when reflected over the x-axis, so only the y-value gets reflected and therefore changed.
The resultant coordinate is (-4,2)

6 0

4 years ago

You leave a pile of sand in your backyard on a windy day. Every minute the wind blows away 10 percent of the remaining sand. You

Grace [21]

Answer:

10% of the remaining sand
You had 5 ft of sand
So y=5(.10(x))

8 0

3 years ago

Exhibit 5-9 Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected. R

Vikentia [17]

Answer:

Let X the random variable of interest "number of registered voters" in a random sample of n =5, on this case we now that:

$X \sim Binom(n=5, p=0.4)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

So then the best answer for this cas would be:

b. the number of registered voters in the nation

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of registered voters" in a random sample of n =5, on this case we now that:

$X \sim Binom(n=5, p=0.4)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

So then the best answer for this cas would be:

b. the number of registered voters in the nation

8 0

4 years ago

Suppose that 35 people are divided in a random manner into two teams in such a way that one team contains 10 people and the othe

Effectus [21]

Answer:

0.5798 or 57.98%

Step-by-step explanation:

The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).

Therefore, the probability that two particular people A and B will be on the same team is:

$P = \frac{_{33}C_8+_{33}C_{10}}{_{35}C_{10}} \\\\P=\frac{\frac{33!}{(33-8)!8!}+\frac{33!}{(33-10)!10!} }{\frac{35!}{(35-10)!10!}} \\\\P=\frac{69}{119} = 0.5798$

The probability is 0.5798 or 57.98%.

8 0

3 years ago

Solve for x.<br> y=a(x-h)^2+k

Natasha_Volkova [10]

Answer:

B ±sqrt((y-k)/a ) + h= x

Step-by-step explanation:

y=a(x-h)^2+k

Subtract k from each side

y-k = a(x-h)^2+k-k

y-k = a(x-h)^2

Divide by a

(y-k)/a = a(x-h)^2/a

(y-k)/a = (x-h)^2

Take the square root of each side

±sqrt((y-k)/a )= sqrt((x-h)^2)

±sqrt((y-k)/a )= (x-h)

Add h to each side

±sqrt((y-k)/a ) + h= (x-h+h)

±sqrt((y-k)/a ) + h= x

4 0

4 years ago

Read 2 more answers