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3 years ago

-3x - 5y = -23 y = x +11

Mathematics

2 answers:

lutik1710 [3]3 years ago

4 0

Answer:

Step-by-step explanation:

for slope its -3/5

for y if its slope it m=1

but if it is inverse its x-11

Aleks04 [339]3 years ago

3 0

Answer:

x=−4 and y=7

Step-by-step explanation:

Rewrite equations

y = x + 11; −3x −5y = −23

Solve y = x + 11 for y

y = x + 11

Substitute x+11 for y in−3x−5y=−23

−3x−5y=−23

−3x−5(x+11)=−23

−8x−55=−23(Simplify both sides of the equation)

−8x−55+55=−23+55(Add 55 to both sides)

−8x=32

−8x

−8

(Divide both sides by -8)

x=−4

y=x+11

y=−4+11

y=7(Simplify both sides of the equation)

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A recent survey found that 70% of all adults over 50 wear

lubasha [3.4K]

Answer:

There is an 84.97% probability that at least six wear glasses.

Step-by-step explanation:

For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem we have that:

$n = 10, p = 0.7$

What is the probability that at least six wear glasses?

$P(X \geq 6) = P(X = 6) + `P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.8497$

There is an 84.97% probability that at least six wear glasses.

5 0

3 years ago

" Pentagon ABCDE and pentagon A’B’C’D’E’ are shown on the coordinate plane below.

vampirchik [111]

<span>The answer: b. translated according to the rule (x, y) → (x + 8, y + 2) and reflected across the x-axis

If you make the drawing of the situation you realize the you need a reflection through the x-axis, but first you need to translate the polygon several units to the left and upward.

You can see that all the x-coordinates have increased 8 units, so the solution has to include x + 8.

Also, you see that you have to move the polygon 2 units upward before doing the reflection so the solution has to include y + 2.

So, the answer is (x,y) ---> (x + 8, y + 2) and then reflection across the x-axis.

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6 0

3 years ago

Read 2 more answers

I sent pic for help. Question has 3 parts

anastassius [24]

P(head)=178/200
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2 years ago

What expression gives the distance between the points (4,6) and (7,-3)?

solniwko [45]

Answer:

$\sqrt{(-3^2-6)+(7^2-4^2)}$