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anygoal [31]
2 years ago
6

Write an equation of the line that passes through the points (-3,-9) and (5.-9). y =

Mathematics
1 answer:
Degger [83]2 years ago
8 0
Y=0x+-9

have a nice day and please consider giving me brainliest if i helped you at all!
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If a/b and c/d are rational expressions then a/b divided by c/d =a times d/b times c true or false
Tomtit [17]

Answer:

(a d)/(bc)

Step-by-step explanation:

a/b ÷ c/d

Copy dot flip

a/b * d/c

ad / bc

4 0
3 years ago
A professor pays 25 cents for each blackboard error made in lecture to the student who pointsout the error. In a career ofnyears
marta [7]

Answer:

(a) The probability that <em>Y</em>₂₀ exceeds 1000  is 3.91 × 10⁻⁶.

(b) <em>n</em> = 28.09

Step-by-step explanation:

The random variable <em>Y</em>ₙ is defined as the total numbers of dollars paid in <em>n</em> years.

It is provided that <em>Y</em>ₙ can be approximated by a Gaussian distribution, also known as Normal distribution.

The mean and standard deviation of <em>Y</em>ₙ are:

\mu_{Y_{n}}=40n\\\sigma_{Y_{n}}=\sqrt{100n}

(a)

For <em>n</em> = 20 the mean and standard deviation of <em>Y</em>₂₀ are:

\mu_{Y_{n}}=40n=40\times20=800\\\sigma_{Y_{n}}=\sqrt{100n}=\sqrt{100\times20}=44.72\\

Compute the probability that <em>Y</em>₂₀ exceeds 1000 as follows:

P(Y_{n}>1000)=P(\frac{Y_{n}-\mu_{Y_{n}}}{\sigma_{Y_{n}}}>\frac{1000-800}{44.72})\\=P(Z>  4.47)\\=1-P(Z

**Use a <em>z </em>table for probability.

Thus, the probability that <em>Y</em>₂₀ exceeds 1000  is 3.91 × 10⁻⁶.

(b)

It is provided that P (<em>Y</em>ₙ > 1000) > 0.99.

P(Y_{n}>1000)=0.99\\1-P(Y_{n}

The value of <em>z</em> for which P (Z < z) = 0.01 is 2.33.

Compute the value of <em>n</em> as follows:

z=\frac{Y_{n}-\mu_{Y_{n}}}{\sigma_{Y_{n}}}\\2.33=\frac{1000-40n}{\sqrt{100n}}\\2.33=\frac{100}{\sqrt{n}}-4\sqrt{n}  \\2.33=\frac{100-4n}{\sqrt{n}} \\5.4289=\frac{(100-4n)^{2}}{n}\\5.4289=\frac{10000+16n^{2}-800n}{n}\\5.4289n=10000+16n^{2}-800n\\16n^{2}-805.4289n+10000=0

The last equation is a quadratic equation.

The roots of a quadratic equation are:

n=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}

a = 16

b = -805.4289

c = 10000

On solving the last equation the value of <em>n</em> = 28.09.

8 0
3 years ago
If fx = 2x^2 + 3 and g(x) = x^2 - 7 find (f - g) (x)
Semmy [17]

(f-g) (x) means to subtract g(x) from f(x)

F(x) = 2x^2 +3

g(x) = x^2

This becomes:

2x^2 + 3 - x^2 = x^2 +3

3 0
2 years ago
A garden table and a bench cost $600 combined. The cost of the garden table is three times the cost of the bench. What is the co
Sonja [21]
This is how I'd solve it:

bench = x           x+3x=600 
table = 3x               4x=600
                                 x=150

The bench costs <u>$150</u> and the table costs <u>$450</u>; combined, they cost $600, so it's correct. I hope this helps you!
3 0
2 years ago
Read 2 more answers
If you draw two cards from the deck at the same time, what is the probability that they will both be hearts?
koban [17]

Answer:

The probability is 1/17.

Step-by-step explanation:

The total number of ways in which 2 cards can be selected from a pack of 52 cards is \binom{52}{2}

The total number of combinations of 2 cards with hearts equals \binom{13}{2}

Thus the probability of the event that both the cards have hearts becomes

P(E)=\frac{\binom{13}{2}}{\binom{52}{2}}=\frac{1}{17}

4 0
2 years ago
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