Willka can cover 13. 5 m² with 3 L of paint.


Complete the table using equivalent ratios.


Area covered (in)


Paint (L)


13. 5


3


1


10

Answer:

1) 92,22,66

2) 106,13,61

3) 87,34, 59

4)20,74,86

Step-by-step explanation:

1) Let the unknown angle be x

92 + 22 + x= 180( Sum of angles in a triangle )

114+ x = 180

x= 180-114

   =66

2) 106+ 13 + x =180

119 +x = 180

x= 180-119

x= 61

3) 59+34 +x = 180

93+x = 180

x= 180-93

   =87

4) 86+74 +x=180

160 +x =180

x= 180-160

 =20

Answer:

the correct answer has to be c

Answer:

$11.78

Step-by-step explanation:

14.89+9.33=24.22

36-24.22=11.78

The probability that Lola pulled a red marble first and a yellow marble second is 0.134 or approximately 13.4%.

To calculate the probability that Lola pulls a red marble first and a yellow marble second, we can use the formula:

P(Red, Yellow) = P(Red) x P(Yellow|Red)

where P(Red) is the probability of pulling a red marble first, and P(Yellow|Red) is the conditional probability of pulling a yellow marble second given that a red marble was pulled first.

First, we can calculate P(Red):

P(Red) = number of red marbles / total number of marbles

P(Red) = 4 / (4 + 4 + 12)

P(Red) = 4 / 20

P(Red) = 0.2

So the probability of pulling a red marble first is 0.2.

Next, we can calculate P(Yellow|Red):

P(Yellow|Red) = number of yellow marbles remaining / total number of remaining marbles

P(Yellow|Red) = 12 / (4 + 3 + 11)

P(Yellow|Red) = 12 / 18

P(Yellow|Red) = 0.67

So the probability of pulling a yellow marble second given that a red marble was pulled first is 0.67

Now we can use the formula:

P(Red, Yellow) = P(Red) x P(Yellow|Red)

P(Red, Yellow) = 0.2 x 0.67

P(Red, Yellow) = 0.134

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The given equation represents an ellipse with a center at (0, -1) and a radius of 4/5.

To identify the conic and find the radius, let's analyze the given equation: x²/(16/25) + (y+1)²/(16/25) = 1.

We can rewrite the equation as:

[(x - 0)²] / [(4/5)²] + [(y + (-1))²] / [(4/5)²] = 1.

Comparing this equation with the standard form of an ellipse:

[(x - h)²] / a² + [(y - k)²] / b² = 1,

where (h, k) represents the center of the ellipse and a and b are the semi-major and semi-minor axes, respectively, we can determine the conic.

From the given equation, we can see that the denominators are both (4/5)², which means that a = b = 4/5. Since the semi-major and semi-minor axes are equal, we have an ellipse.

To find the center of the ellipse, we look at the signs in the equation. The center is at (h, k), which corresponds to (0, -1) in this case.

Therefore, the correct answer is:

Cb. Ellipse Center: (0, -1)

Regarding the radius, we need to find the value of a (which is equal to b). The radius can be calculated as the square root of a², so:

Radius = √[(4/5)²] = 4/5.

Therefore, the correct answer is:

Cb. Ellipse Center: (0, -1)

Circle Radius: 4/5.

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Answer:

A. 84.75/3.50= 24.214286

B. 24 pictures

Step-by-step explanation:

When I divided I got 24.214286 so I rounded down to 24 pictures.

Answer:

Use Mathaway and write the equation

Step-by-step explanation:

Answer:

x = -2.3

Step-by-step explanation:

-3x + 4 = 6

Subtract 4 from both sides.

-3x = 2

Divide both sides by -3

x = -2/3

(a) To find the proportion of trees that are more than a certain height, we need to calculate the area under the normal distribution curve to the right of that height. To do this, we can use a standard normal distribution table or a calculator.

First, we need to standardize the height by subtracting the mean and dividing by the standard deviation. Let's assume the mean height is μ inches and the standard deviation is σ inches.

Let X be a random variable representing the height of a cherry tree. We are given that X follows a normal distribution with mean μ and standard deviation σ.
To find the proportion of trees that are more than a certain height, let's say x inches, we can calculate the z-score using the formula:
z = (x - μ) / σ

Once we have the z-score, we can use a standard normal distribution table or a calculator to find the proportion of values that are greater than that z-score. This will give us the proportion of trees that are more than x inches tall.

(b) To find the proportion of trees that are less than a certain height, we can follow a similar approach. We calculate the z-score using the formula:
z = (x - μ) / σ
Then, we can use a standard normal distribution table or a calculator to find the proportion of values that are less than that z-score. This will give us the proportion of trees that are less than x inches tall.

(c) To find the probability that a randomly chosen tree is between two heights, let's say a inches and b inches, we need to calculate the area under the normal distribution curve between those two heights. We can do this by calculating the z-scores for both heights using the formula:
z1 = (a - μ) / σ
z2 = (b - μ) / σ
Once we have the z-scores, we can use a standard normal distribution table or a calculator to find the proportion of values that are between those two z-scores. This will give us the probability that a randomly chosen tree is between a and b inches tall

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Answer: 2:5

Step-by-step explanation:

think of the ":" as the equivalent of to (ex. 2 to 5) 2 frogs to 5 turtles.

Answer:

0.04

Step-by-step explanation:

because its asking you to basiclly divide i hope this helped :)

Answer:

i think its 15 gallons of water if you do the math you can see it

Step-by-step explanation:

Check the picture below.

Answer:

Given that,

To find the distance between the points (2,2) and (-2,-1)

we know that,

Distance formula,

The distance between the two points (x1,y1) and (x2,y2) is,

Substitute the value we get,

the points (2,2) and (-2,-1)

Answer is: The distance between the point (2,2) and (-2,-1) is 5 units.

Answer:

C. 1/(x^3)

Step-by-step explanation:

Notice x^0=1

So this turns out to be x^-3 only

Simplify it and you get 1/(x^3)

Answer:

D. x^3

Step-by-step explanation:

Anything powered to zero is zero

If the numbers denoting the perimeter and area of the square are equal, the length of the diagonal will be 4√2 units.

What are Area and Perimeter?

An object's shape defines a region as its area. The area of a figure or any other two-dimensional geometric shape is how much space it takes up in a plane.

The whole length encircling a shape is referred to as its perimeter. Simply put, if a shape is stretched into a linear form, its perimeter is its length. In a two-dimensional plane, a shape's perimeter is the sum of its total dimensions.

Let the side of the square to be 'a'.

If Area and Perimeter of a square are equal then,

So,  Area = Perimeter

      a^2 = 4a

we get, a = 4 units.

Now, we can find the diagonal by using Pythagoras theorem,

We know that, Hypotenuse^2 = Base^2 + Perpendicular^2

Here, the hypotenuse will be the diagonal of the square.

So, We have,

            Diagonal^2 = 4^2 + 4^2

                                = 16 + 16

                                = 32

∴ Diagonal = √32 = 4√2 units.

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Answer:

7

Step-by-step explanation:

Mean is all of your numbers added up and then divided by the amount of numbers in total there are. So 2+4+6+9+14 = 35 35÷5 = 7

Hope this helped <3

Answer:

25

Step-by-step explanation:

M^2 = 100

P^2 = 4

100/4 = 25

the answer is simply #2 which is 5

The linear function is y = (-1/2)x + 4.

What is a linear function?

A linear function whose graph is a straight line and which is represented by an equation of the form y = ax + b where a and b are constants, a does not equal zero, and x is any real number.

Here, we have

Given,

A linear function has an x-intercept of 8 and a y-intercept of 4.

So, The two points on the line are (8, 0) and (0, 4).

Now, slope(m) = (4 - 0)/(0 - 8).

slope(m) = -4/8.

slope(m) = -1/2.

As it has a y-intercept of 4 it is the value of b, In y = mx + b.

Hence, the linear function is y = (-1/2)x + 4.

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Answer:

No solution occurs only for k = 1. (2) Infinitely many solutions occurs for no value of k. (3) A unique solution occurs for k = 1.

Step-by-step explanation:

Part A:

(26)x = 1

Solve for x by dividing both sides by 26:

X = 1/26

part B:

(50)x = 1

Solve for x by dividing both sides by 50:

X = 1/50

\(\\ \rm\Rrightarrow 26x=1\)

\(\\ \rm\Rrightarrow x=1/26\)

#B

\(\\ \rm\Rrightarrow 50x=1\)

\(\\ \rm\Rrightarrow x=1/50=0.02\)

The tolerable deviation rate decreases, it necessitates a larger sample size to maintain the desired level of confidence and accuracy in the Sampling size.

In attributes sampling, the tolerable deviation rate refers to the acceptable level of non-conforming items or errors in a population. It represents the maximum rate of deviation or non-conformance that is considered acceptable for a given attribute or characteristic being inspected.

When the tolerable deviation rate is decreased, it means that a lower level of deviation or non-conformance is deemed acceptable. This has an effect on the sample size required for the attributes sampling.

Generally, a decrease in the tolerable deviation rate will lead to an increase in the required sample size. The reason for this is that when the acceptable level of deviation is reduced, it becomes more stringent, and a larger sample is needed to ensure that the observed deviation rate is statistically representative of the population.

By increasing the sample size, there is a higher likelihood of capturing a sufficient number of defective or non-conforming items to make reliable conclusions about the population's quality level. This helps to reduce the risk of accepting a batch or population that actually has a higher defect rate than what is considered tolerable.

the tolerable deviation rate decreases, it necessitates a larger sample size to maintain the desired level of confidence and accuracy in the sampling results. The increased sample size allows for a more precise estimation of the population's quality level, providing greater assurance in decision-making regarding acceptance or rejection of the population based on the observed deviation rate.

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The graph of the exponential function is on the image at the end.

Here we want to graph the function:

f(x) = 0.5*(4)ˣ

To graph this (or any function) we can find some points on the function, and to do so, we need to evaluate it.

when x = 0:

f(0) =   0.5*(4)⁰ = 0.5

Then the point is (0, 0.5)

when x = 1

f(1) =   0.5*(4)¹ = 2

So we have the point (1, 2)

if x = 2

f(2) =   0.5*(4)² = 8

So we have the point (2, 8)

Now we can graph these points and connect them with a general exponential curve.

The graph of the exponential function is shown below.

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Answer:

The common continuous interval will be (0,∞).

Step-by-step explanation:

Given that,

The numerator = 12+√x

The denominator = √12+x

We know that,

For the numerator,

Any function under square root should be greater than and equal to the zero.

\(x\geq 0\)

So, the continuous interval is (0, ∞)

For the denominator,

\(\sqrt{12+x}>0\)

\(12+x>0\)

\(x>-12\)

The interval for the continuous and non zero function is,

(-12, ∞)

We need to calculate the continuous interval

Using given quotient

\(\dfrac{12+\sqrt{x}}{\sqrt{12+x}}\)

The continuous interval of numerator and  denominator are (0, ∞) and (-12, ∞).

Hence, The common continuous interval will be (0,∞).

Answer:

y= 3/5x + 3

Step-by-step explanation:

slope= 3/5

y intercept= 3

Answer: \(y=\frac{3}{5} x+3\)

Step-by-step explanation:

To find the equation of the graph, we need to know the slope and y-intercept. We can find the slope by using the formula \(m=\frac{y_2-y_1}{x_2-x_1}\). Then, we use a point to find the y-intercept. Let's use the points (0,3) and (-5,0).

\(m=\frac{0-3}{-5-0} =\frac{-3}{-5} =\frac{3}{5}\)

Now that we know the slope, we can plug in any point to find the y-intercept.

\(3=\frac{3}{5} (0)+b\)            [multiply]

\(b=3\)

Now, we know the equation is \(y=\frac{3}{5} x+3\).

Answer:

20.39

Step-by-step explanation:

15% of 29.99 is 4.4985

so

29.99-4.5

=

25.49

subtract the 20%

20% of 25.49

=

5.1

lastly,

25.49-5.1

=

20.39

The way that X and Y vary can be used to determine if a table is linear. A table is linear if, when X rises by 1, Y increases at a steady pace. By locating the initial difference, you may get the constant rate.

X  Y

1  2

2  4

3  6

4  8

It's linear in this table. There is a difference of two between Y1 and Y2, Y2 and Y3, and Y3 and Y4. As a result, Y's constant rate is 2.

X  Y

1  6

2  9

3  1

4  40

NOT a linear table, this one. Y does not rise at a consistent pace when X increases by 1, as evidenced by the differences of 3, 8, and 39 between Y1 and Y2, Y2 and Y3, and Y3 and Y4. This shows that there is no linear link between the two.

What is table of linear function ?

Well, a linear function is proportional, a straight line (on a graph). And the numbers must not have the same answer. For instance, if the X input is 5, and the Y output is 7. And then another X input is 5, and the Y output is 8, that's non-linear.

So, the Answer would be the third graph. This is because the X values are steadily increasing, and so are the Y values.

For the X and Y values, for each time X increases by 1, Y increases by -8. This is, linear because both sides are constantly and evenly increasing.

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The values of d that make the inequality 9d > 9 true are given as follows:

2, 4, 11.

Hence the equivalent inequality is given as follows:

d > 1.

The inequality in the context of this problem is defined as follows:

9d > 9.

To solve the inequality, we solve it similarly to an equality, isolating the desired variable d, hence the solution is given as follows:

d > 9/9

d > 1.

The > symbol means that the solution is composed by values that are greater than 1, hence the options are 2, 4, 6 and 11.

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