Which ordered pairs is a solution to −5x + 3y > 12?
(3, 9)


(-5, 5)


(3, -6)


(-2, -5)


(2, 8)


(-6, 0)

Answer:

0.0857

Step-by-step explanation:

What we need is, B R -G, successively. We do not add each probability, but multiply them.

P(1st marble is B) = 6 / 16

P(2nd marble is R) = 4 / 15

*your sample space decreases because you took one marble already before, the Blue one

P(3rd marble is not Green) = 12/14

** it's 12 because you took 2 non-Green marbles before

*** it's 14 because you took 2 marbles before

To arrive at the final answer, just multiply all probability.

Answer:

g(y) = √(3/2 y)

Step-by-step explanation:

To find the inverse of a function, we need to solve for x in terms of y and interchange x and y. That is, we need to write the given function f(x) = 2/3x^2 in the form y = 2/3x^2 and then solve for x in terms of y.y = 2/3x^2

Multiplying both sides by 3/2, we get:

3/2 y = x^2

Taking the square root of both sides, we get:x = ± √(3/2 y)

Note that we have two possible values of x for each value of y, because the square root can be either positive or negative. However, for a function to have an inverse, it must pass the horizontal line test, which means that each value of y can only correspond to one value of x.Therefore, we need to restrict the domain of the original function to ensure that it is one-to-one. The simplest way to do this is to take the range of the function and use it as the domain of the inverse function.The range of f(x) = 2/3x^2 is all non-negative real numbers, or [0, ∞). Therefore, we can define the inverse function g(y) as:

g(y) = ± √(3/2 y)

where we choose the positive square root to ensure that the function is one-to-one.Thus, the inverse of the function f(x) = 2/3x^2 is:

g(y) = √(3/2 y)

with domain [0, ∞).

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its 68

The expert part says 68

Answer:

there are unmatched parentheses

Answer:

25) -4, -1

Equation: -4x-1

27) 4, 4

Equation: 4x+4

29) 5/2,0

Equation: 5/2x

Step-by-step explanation:

Y=mx+b

Answer:

45

Step-by-step explanation:

Answer:

x = 40 degrees

Step-by-step explanation:

Triangle angle sum is 180 so 180 = 65 + 75 + x.

180 = 65 + 75 + x

180 = 140 + x

40 = x

Answer:

A, B and D

Step-by-step explanation:

√5 x √5 x √4 is basically 5 x 5 x 4 = 100, but the 100 still has the root sign

The sqrt of 100 is 10, since 10 x 10 = 100

Like said on the first line, it makes √100 and this is valid since the question does not say to simplify it

The probability that the individual must stop at at least one light that is 0.45.

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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Answer:

Step-by-step explanation:

multiply and divide your equation then subtarct it and you get your answer

Answer: i think its 4 -4 or 4 and 8

Step-by-step explanation: sorry if imma wrong

Answer:

Step-by-step explanation:

ANSWER

(part 1) 196 tiles

(part 2) $ 1.89

EXPLANATION

(part 1)

First we have to find the area of each tile, that is the product of the dimensions because it is a rectangle,

To compare it to the floor's area, we have to transform it into square feet. Knowing that 1 ft² = 144 in²,

This is a partial result, so it is best if we leave it as a fraction so we don't miss any decimals.

Now, the area of the floor is 350 ft². To find how many tiles Greg has to order, we have to divide the area of the floor by the area of each tile,

But the number of tiles has to be an integer. If Greg buys 197 tiles they will have to cut some (waste). If he buys 196 there will be some of the floor not covered. However we were asked to assume no waste, so Greg will have to order 196 tiles.

(part 2)

To answer this question we have to add 8% to the cost of the tile. The 8% of 1.75 is,

So the cost of each tile is,

Answer:

There were 89 retail stores in 1997.

Step-by-step explanation:

You know:

y =  11*x + 12

where y is the total number of stores and x is the number of years after 1990.

Being this a linear function (Linear functions are those functions that have the form y = mx + b as it happens in this case), to know the total number of stores and, then you must know the value of x, that is, the number of years after 1990, and replace that value in the given function.

To find out how many retail stores there were in 1997, then since 1990 7 years have passed, calculated by subtracting: 1997 - 1990 = 7

So, 7 is the number of years after 1990, then x=7

Replacing in the function y=11*x + 12 you get:

y=11*7+12

Solving:

y=77+12

y=89

There were 89 retail stores in 1997.

Part a

P=181,495/353,519

Part b

P=172,024/1,099,377

Answer:

7 miles / hour

Step-by-step explanation:

I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.

Givens

d (distance ) = 3.5 miles

t (time) = 1/2 hour

r (rate) = ?

Formula

r = d/t

Solution

The easiest way to do this is to change the fractions to decimals.

t = 1/2 = 0.5 hours

r = 3.5 / 0.5

r = 7 miles per hour.

According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:

A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.

Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.

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Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3x from both sides.

Step 3: Subtract 1 from both sides.

Let's solve your equation step-by-step.

1/3 (9x+3)=3x+1

Step 1: Simplify both sides of the equation.

1/3(9x+3)=3x+1

(1/3)(9x)+(1/3)(3)=3x+1(Distribute)

3x+1=3x+1

Step 2: Subtract 3x from both sides.

3x+1−3x=3x+1−3x

1=1

Step 3: Subtract 1 from both sides.

1−1=1−1

0=0

Answer:

All real numbers are solutions.

Answer:

A) reflection over the x-axis

Step-by-step explanation:

Answer:

A. Sailfish

Step-by-step explanation:

Looking at the problem, we need to focus on the speeds of the fishes. The sailfish has a max speed of 67.85 and the swordfish's is 60. Comparing the two values, 67.85 is greater, so Kesia should put the sailfish (A) on the cover of her report.

The fastest fish that should go to the cover of Kesia's report is Sailfish. Option A is correct.

The speed of an object is the amount of distance covered by an object within a specified period of time. The higher the distance, the higher the speed covered.

From the given information,

Provided the time is constant for both fish, we can conclude that the speed of the Sailfish is faster than the speed of the Swordfish.

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

50.24

-

And, you're not bad at math! You goot this correct! :)

Step-by-step explanation:

c=25.12

we can use this to find the raidus!

-

plug it back into the circumference formula first.

c=(pi)(d)

25.12=3.14*d

divide both sides by 3.14!

d=8 but we need the radius, so we just divide by 2. 8/2 = 4. so the raidus is 4!

-

now we plug it into the area of a circle formula.

π · r2

3.14 * 4^2

3.14*16

50.24

The diameter of the given circle is 9.87 cm.

Given.

Circumference = 31 cm

Now,

Circumference of circle = 2×π×r

r = Radius of Circle

Substitute the value of circumference in the formula,

31 = 2×π×r

31 = 2× 3.14 × r

r = 4.935 cm

Diameter of circle is double the radius of circle,

D = 2r

D = 2(4.935)

D = 9.87 cm

Hence diameter of the circle is 9.87 cm.

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a z-test for the proportional difference is the proper hypothesis test.

A hypothesis test can be used to find whether the deviation in proportions impacts the medication's effectivity. We may compare the secondary hypothesis—that the proportions are different—to the null hypothesis.

which states that the dimension of patients who show cut down blood pressure is the same for the two doses of the drug (50 mg and 100 mg).

Popular test statistics like the z-test can be applied to this hypothesis test and other statistical analyses.

\(z = (p1 - p2) / SE\)

where p1 and p2, for the 50 mg and 100 mg doses, respectively, are the sample proportions of patients who show fallen blood pressure, and SE is the standard error of the difference between the proportions.

the samples are assumed to be independent or dependent, impacts the SE formula. The samples in this instance are presumed to be independent because they came from various patients. Consequently, the equation for SE is:

\(SE = \sqrt(p1 \times (1 - p1)/n1 + p2 *\times(1 - p2)/n2)\)

here, the sample sizes for two doses is n1 and n2.

We can compute the z-test statistic based on the sample sizes and proportions and compare the result to a critical value or p-value to decide whether to accept or reject the null hypothesis.

Therefore, a z-test for the proportional difference is the proper hypothesis test.

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Answer:

no supplement

Step-by-step explanation:

Supplementary angles add to 180 degrees,

This angle is larger than 180 degrees by itself, so it has no supplement

Answer:

I think 72,000 because since the weightlifter is lifting 72 and it is kg. It is turned into grams. multiplied by 1000 so 72000

Answer:

Step-by-step explanation:

I wish I knew

Answer:

first option

Step-by-step explanation:

integers are like whole numbers but can also be negative

Answer:

A

Step-by-step explanation: