If two dice are rolled, what is the probability that the sum of the faces is 4, given that the first die rolled is odd?

Answer:

625

Step-by-step explanation:

4 × x = 2500

x=\(\frac{2500}{4}\)

x=625

Answer:

1500

Step-by-step explanation:

Parenthesis first, 3x10 is 30 5x10 is 50, 50x30 is 1500

Step-by-step explanation:

(4x + 6) + (3x + 14) + 90= 180 sum of angles in an triangle theorem

7x + 20 = 90 Algebra

x=10 Algebra

I hope this helps!!!!

Triangle ABC is similar to triangle QPR due to the transformations reflection, the triangles are similar by side-angle-side similarity theorem.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

- Rotation means that it rotates or turns the pre-image around an axis with no change in size or shape

- Reflection means that it flips the pre-image and produces the mirror-image with no change in size or shape or orientation

- Translation means that it slides or moves the pre-image with no change in size or shape but has changes in only the direction of the shape

- Dilation means that it stretches or shrinks the pre-image.

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. It should be noted that, corresponding angles are congruent.

Thus, we conclude that triangle ABC and triangle QPR are similar triangle based on the side-angle-side similarity theorem.

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Answer: reflected and then translated onto   only involve rigid motions    

congruent

Step-by-step explanation:

Triangle  abc

is

reflected and then translated onto

triangle qpr

. Since the transformations

only involve rigid motions

, the triangles are

congruent

.

Answer:

1 hour = 1.7 miles / 1.5 hours = ? Miles

1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles

Step-by-step explanation:

1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles

Answer:

Correct option: A -> AA postulate

Step-by-step explanation:

In the figure we can see that in triangle ABC we have:

A = 53°

B = 72°

And we can see in the triangle LMN that:

L = 53°

M = 72°

We have two pairs of angles (A - L  and B - M) that are congruent, and therefore we can use the case AA (angle-angle) to affirm that these triangles are similar.

So the correct option is A: AA postulate.

K' ( -2, 2) , L' (1,2) , M' (1,-1) , N' (-2,-1)

Firstly, we needt to identify the coordinates of the vertices of the quadilateral

Afterwards, we then perform the translation

The translation simply means we add 2 to the x-value and add 4 to the y-value

So if we had coordinates of a vertex as (x,y); upon translation, we will have (x + 2, y+ 4)

Let us identify the vertices;

K'

K (-4,-2)

L (-1,-2)

M (-1,-5)

N (-4,-5)

After translation, we have;

K' ( -2, 2) , L' (1,2) , M' (1,-1) , N' (-2,-1)

The bags of candy that was sold is 6

The bags of cookies that was sold is 10.

$8.50c + $4.50o = 79 equation 1

o - c = 6

o = 6 + c  equation 2

Where:

Substitute for o in equation 1 using equation 2

$8.50c + $4.50(6 + c) = 79

$8.50c + 27 + 4.50c = 79

$8.50c + 4.50c = 79 - 27

$13c = 52

c = 52 / 13

c = 4

Substitute for c in equation 2

0 = 6 + 4 = 10

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The area of the rectangular area is 12,800 sq ft and the side of the building has a length of 100 ft. The total length of fencing is 400 ft and the dimension of the side opposite the building is 128 ft.

The area of the rectangular area to be enclosed is 12,800 sq ft. The side of the building has a length of 100 ft. One side of the rectangle will be the length of the building and the other three sides will be bounded by fencing.Let the width of the rectangular area be x ft. Since the area of the rectangular area is 12,800 sq ft,x × (100) = 12,800x = 128 ft The total length of fencing to be used is 400 ft. Let the length of the fencing be y ft.2 (y + 100) = 400y + 100 = 200 ft The dimension (in feet) of the side of the rectangle that is opposite the building is 128 ft. Therefore, the required dimension is 128 ft. Note: Whenever solving a geometry problem, draw a diagram to understand the given information and to formulate an equation.

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The picture presented is relevant to corresponding angles because it exemplifies what a corresponding angle is.

To have a corresponding angle the first condition is to have two or more parallel lines. Parallel lines are those that are equidistant. Now, if these two or more parallel lines are crossed by another line, an angle will be created in each line and because the lines are parallel the angle will be the same for the liens involved. This exact concept is exemplified in the rubric cube because the parallel lines crossed by another line will have the same or corresponding angles.

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Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

To determine which planks Amanda should use to build the triangular-shaped kennel:

Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

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Except than x = 1, all real numbers fall within the function's domain.

Since there are no limitations on what we can substitute for x, the domain of a function, f(x), is all real numbers because any real numbers would make f(x) a defined function. As a result, when this is not the case, the domain of a function, f(x), is not all real numbers.

The rational function r(x) = 2x/(x-1) is defined as follows.

So, we set the denominator to zero and solve for x in order to determine the domain of r(x):

x - 1 = 0

x = 1

Hence, x = 1 is the only value of x that causes the denominator to equal 0. R(x) therefore has a domain of all real numbers other than x = 1.

We can express the domain as follows in interval notation:

(-∞, 1) U (1, ∞)

Except than x = 1, all real numbers fall within the function's domain.

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Question:

Which of the following correctly describes the domain of the function shown below?

r(x) = 2x x-1

A. {x:x0}

B. {x: x = 1}

c. x all .real .numbers}

D. xx1}

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

The length of the rectangular painting is equal to 76 cm.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The area of a rectangular painting is 4636 cm². The width of the painting is equal to 61 cm.

The length of the painting is calculated as,

Area of rectangle = Length x Width

4636 = Length x 61

Length = 4636 / 61

Length = 76 cm

The length is 76 cm for the rectangle.

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Var(x)  is equals to 13.

Variance is a measure of the spread or dispersion of a set of data from its mean. It is calculated by taking the differences between each data point and the mean, and then squaring the differences. The larger the variance, the more spread out the data is from the mean.

The formula for variance is Var(x) = E(x^2) - (E(x))^2.

Given that E(x) = 1, Var(x^2) = 5, and E(x^2) = 14, we can plug these values into the formula and solve for Var(x).

Var(x) = E(x^2) - (E(x))^2
Var(x) = 14 - (1)^2
Var(x) = 14 - 1
Var(x) = 13

Therefore, the variance of x is 13.

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Answer:

yes it is rational, as it can be expressed in the form p/q where p=-2 and q=3

Step-by-step explanation:

log(2) * log(5) * log2(32) ≈ 1.052245.

We can simplify this expression by using the fact that log a(b^c) = c*log a(b) and the values of log(2) and log(5) which are approximately 0.301 and 0.699 respectively.

We have:

log(2) * log(5) * log2(32)

= log(2) * log(5) * 5

= 0.301 * 0.699 * 5

= 1.052245

Therefore, log(2) * log(5) * log2(32) ≈ 1.052245.

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A comprehensive outline with evidence for both the affirmative and negative cases is referred to as a detailed brief.

A detailed outline of both the affirmative and negative cases, along with the supporting evidence for each, is commonly referred to as a brief or a case brief in the context of debate or legal arguments. It is a document that summarizes the main arguments, evidence, and reasoning behind a position taken by either side of a debate or legal case.

Here's an example of how a brief for both the affirmative and negative cases on a hypothetical topic could be structured:

I. Affirmative Case

A. Introduction

Opening statement: Clearly state the resolution and the affirmative position.

Present a brief overview of the main arguments to be discussed.

B. Argument 1

State the first argument in support of the affirmative position.

Provide evidence, facts, or statistics to support the argument.

Offer logical reasoning or expert opinions that reinforce the argument.

Address potential counterarguments and provide rebuttals if necessary.

C. Argument 2

State the second argument in support of the affirmative position.

Provide evidence, facts, or statistics to support the argument.

Offer logical reasoning or expert opinions that reinforce the argument.

Address potential counterarguments and provide rebuttals if necessary.

D. Argument 3

State the third argument in support of the affirmative position.

Provide evidence, facts, or statistics to support the argument.

Offer logical reasoning or expert opinions that reinforce the argument.

Address potential counterarguments and provide rebuttals if necessary.

E. Conclusion

Summarize the main arguments presented in the affirmative case.

Reiterate the position and its significance in relation to the resolution.

II. Negative Case

A. Introduction

Opening statement: Clearly state the resolution and the negative position.

Present a brief overview of the main arguments to be discussed.

B. Argument 1

State the first argument against the affirmative position.

Provide evidence, facts, or statistics to support the argument.

Offer logical reasoning or expert opinions that reinforce the argument.

Address potential counterarguments and provide rebuttals if necessary.

C. Argument 2

State the second argument against the affirmative position.

Provide evidence, facts, or statistics to support the argument.

Offer logical reasoning or expert opinions that reinforce the argument.

Address potential counterarguments and provide rebuttals if necessary.

D. Argument 3

State the third argument against the affirmative position.

Provide evidence, facts, or statistics to support the argument.

Offer logical reasoning or expert opinions that reinforce the argument.

Address potential counterarguments and provide rebuttals if necessary.

E. Conclusion

Summarize the main arguments presented in the negative case.

Reiterate the position and its significance in relation to the resolution.

It's important to note that the specific structure and content of the brief may vary depending on the specific debate format or context. The above outline provides a general framework that can be customized and expanded upon as needed.

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The values of w typically vary, on average, from the mean of the distribution about 3.46.

The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.

For a geometric(p = 0.25) distribution, the variance is computed here as:

Var(X) = (1 - p)/ p2 = (1 - 0.25) / 0.252 = 12

Therefore, the standard deviation is computed as:

= ✓(12) = 3.46 observations.

This is the standard deviation of the given distribution here.

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first choice, I'm positive

The total length of the lines that Pat draws on the second piece of paper is  40.5 cm

In order to divide the paper into a 3-by-3 grid, Pat draws 4 lines. The total length of the lines is 18 cm, so each line is 18/4 = 4.5 cm long.

Also, to divide the paper into a 6-by-6 grid, Pat draws 9 lines. Each line is 4.5 cm long, so the total length of the lines is:

= 9 * 4.5

= 40.5 cm.

Therefore, the total length of the lines that Pat draws on the second piece of paper is  40.5 cm

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Answer: Eddie had lunch later than Fatimah.

Step-by-step explanation: Eddie had lunch at 10 minutes to one, which is 12:50. Fatimah had lunch at 11:45. So if you subtract 11:45 from 12:50, you find that Eddie had lunch 1:05 later than Fatimah.

Answer:

Eddie had lunch later.

He had lunch 1 hour 5 minutes later

Step-by-step explanation:

Eddie had lunch 10 min before 1

which means at 12 50.

Fatimah had lunch at 11 45 . Earlier than Eddie.

Eddie had lunch after her.

and How much later?

11 45 to 12 45 is 1 hour.

12 45 plus 5 minute is 12 50.

so it is 1 hour 5 minute

Answer:

6:5 or \(\frac{6}{5}\)

Step-by-step explanation:

\(\frac{90}{75}\)  Divide by \(\frac{15}{15}\)

\(\frac{6}{5}\) or 6:5

According to TB incidence data from 2019, the true statement about TB incidence in that year is that "The Texas TB incident rate is above the national target."

TB incidence in 2019 refers to the statistical measure of the occurrence of tuberculosis disease within a specific region or population during that year. It provides valuable insights into the number of individuals infected by TB bacteria and the reported cases of the disease within the same timeframe. In this context, the available data indicates that the TB incident rate in Texas surpasses the national target. This suggests that the incidence of tuberculosis cases in Texas exceeded the desired level set as a goal at the national level.

It's important to note that without further details, such as the specific national target or the actual incidence rates, we cannot provide precise figures or make comparisons to other options. However, based on the given statement, we can conclude that the TB incident rate in Texas in 2019 was higher than the intended national target.

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The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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Answer:

False

Step-by-step explanation:

Answer:

If you mean the symbol = then true.

Step-by-step explanation:

equation = equal sign

The rock will achieve it's maximum height after it is thrown in option d) 2 seconds.

Quadratic functions are functions of polynomials consisting of variables and exponents and the degree of the variable is 2.

The standard form of a quadratic function is f(x) = ax² + b x + c.

Given that, rock's height h in feet is given by the equation,

h (t) = -5(t− 2)² + 45

      = -5(t² - 4t + 4) + 45

      = -5t² + 20t - 20 + 45

      = -5t² + 20t + 25

This is a quadratic function.

The graph of a quadratic function is a parabola.

Since the leading coefficient is negative, the parabola opens downward.

Maximum height of the rock will be the vertex of the parabola.

Vertex of the parabola with equation  ax² + b x + c is (-b/2a, f(-b/2a))

Time when the ball reaches maximum height = -20 / (2 × -5)

                                                                            = -20 / -10

                                                                            = 2

Hence the maximum height is achieved at a time of 2 seconds.

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Answer:

E. 35°, 70°

Step-by-step explanation:

Sum of angles add up to 180° in every triangle.

Step 1: Set up equation

a + 2a + 75 = 180

Step 2: Combine like terms

3a + 75 = 180

Step 3: Subtract 75 on both sides

3a = 105

Step 4: Divide both sides by 3

a = 35

So 1 angle is 35°

Step 5: Plug in a to find last angle

2(35) = 70°

Answer:

E. 35°, 70°

Step-by-step explanation:

The probability of drawing an orange marble on the first draw and a green marble on the second draw is 1/15 or approximately 0.067 or 6.7%.

To find the probability of drawing an orange marble on the first draw and a green marble on the second draw, we need to use the formula for conditional probability: P(A and B) = P(A) * P(B|A).

Here, A is the event of drawing an orange marble on the first draw, and B is the event of drawing a green marble on the second draw, given that an orange marble was drawn on the first draw.

The probability of drawing an orange marble on the first draw is 2/10, as there are 2 orange marbles out of a total of 10 marbles.

Once an orange marble is drawn and set aside, there are 9 marbles remaining, out of which 3 are green. Therefore, the probability of drawing a green marble on the second draw, given that an orange marble was drawn on the first draw, is 3/9.

Multiplying these probabilities, we get:

P(orange then green) = P(A and B) = P(A) * P(B|A) = (2/10) * (3/9) = 1/15

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Answer:

\(f(g(x)) = 6x^2+6x+11\)

Step-by-step explanation:

\(f(g(x)) = 2(3x^2+3x+7) - 3\\f(g(x)) = 6x^2 + 6x + 14 - 3\\f(g(x)) = 6x^2+6x+11\)