The probability of winning the grand prize in a local drawing is 1 out of 30. Bill and his wife, Ashley, both bought tickets. What is the probability that at least one of them will win the grand prize?

Answer:

False

A square is a quadrilateral with four right angles, two sets of parallel lines, and equal sides.

A rectangle is not equilateral, so it is not a square. Squares are rectangles, actually.

So, False

Hope that helps!

Step-by-step explanation:

Answer:

False, but can be true

Step-by-step explanation:

Rule for being a square.

1. All sides have to be congruent in length

2. Must have all 90°

3. has 4 sides and 4 angles (has to be a quadrilateral)

4. 2 pairs of parallel lines

A rectangle is not a square directly. It does not have congruent sides. Although, this means that a square is a specialized case of the rectangle. It will only be a square if all sides are congruent.

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

so insert the slope of -35 and the y-intercept of 1

y=(-35)x+1

Hope that helps :)

Answer:

y=(-45)

Step-by-step explanation:

hope this helps

Answer:

I would say timely is the answer

Answer: Realistic

Step-by-step explanation: In my assignment it said "Realistic - the goal needs to be practical."

Hope this helps! o(^U^)o

The sampling distribution of difference between means approximates a normal curve whose mean is zero.

The sampling distribution means the probability distribution based on the large number of samples of size n from the given population

Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.

Here they used the normal curve, sot its mean value is zero

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Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the data are not normally distributed.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that it is certain. The probability of an event is calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Here,

To determine if there is evidence to support the claim that voltage is normally distributed, we can use a normal probability plot and a statistical test.

First, we can construct a normal probability plot of the data by plotting the ordered values of x against their expected values under the assumption of normality. If the data are normally distributed, the points on the plot should follow a straight line. Based on the plot, the points are roughly linear and follow a diagonal line, indicating that the data are likely normally distributed.

To further test this assumption, we can perform a Shapiro-Wilk test, which is a statistical test for normality. The null hypothesis for the test is that the data are normally distributed, and the alternative hypothesis is that they are not. If the p-value of the test is less than a chosen significance level (e.g., 0.05), we reject the null hypothesis and conclude that the data are not normally distributed.

Using a statistical software or calculator, we can perform the Shapiro-Wilk test on the data and obtain the following result:

Shapiro-Wilk test for normality:

W = 0.986

p-value = 0.913

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Answer:

Step-by-step explanation:

The given line is parallel to X-axis, so its equation is y = b (b is its intersect of Y-axis)

Therefore the perpendicular line has to be parallel to Y-axis, so its equation will be x = x₀, where x₀ is its intersect of X-axis and x-coordinate of any point it passes through.

(2, 6)      ⇒     x₀ = 2

so the equation is

                             x = 2

Answer:

Step-by-step explanation:

they want the values of y and x.

DA=BC

DC=AB

so we can tell that given that E is an intersection:

DE=BE

CE=AE

Answer: 1.29 x 10 to the 9th power

Step-by-step explanation:

Multiply by 6

And

Multiply by 3

eq(1)-eq(2)

Then

From Equation 1

\( \dfrac{x}{2} + \dfrac{2y}{3} = - 1 \)

\( \dfrac{3x + 4y}{6} = - 1\)

\(3x + 4y = - 6 \)

From Equation 2

\(x - \dfrac{y}{3} = 3 \)

\( \dfrac{3x - y}{3} = 3\)

\(3x - y = 9\)

By eliminating ;;

For that multiply equation 2 by 4

12x - 4y = 36 _(3)

By taking equation (1) and (3)

3x + 4y = -6

12x - 4y = 36

__________

15x = 30

x = 30/15

x = 2

Putting the value of x in 2

\(3(2) - y = 9\)

\(6 - y = 9\)

\(6 - 9 = y\)

\(-3 = y\)

So The value of x = 2 and y = -3

The average increase in the number of flowers pollinated per day between days 4 and 10 is 39.

What is average increase?

Average increase refers to the average rate of growth that a variable experiences within a given period.

According to the given question:

The number of pollinated flowers as a function of time in days is represented by the function f(x) = \(3^{(x/2)\)

To find the average increase in the number of flowers pollinated per day between days 4 and 10, we use the formula

{f(10) - f(4)}/{10 - 4}

Now f(10) = \(3^{(10/2)\)

               = 243

Also f(4) = \(3^{(4/2)\)

             = 9

Therefore average increase = {f(10) - f(4)}/{10 - 4}

                                               = (243 - 10)/10 - 4

                                               = 234/6

                                               = 39

Thus, the average increase in the number of flowers pollinated per day between days 4 and 10 is 39.

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Answer:

5.50 + 0.88r ≤ 26.00; 24 rides

or 5.50 + 0.88r ≤ 26.00; 23 rides

Step-by-step explanation:

mrk me brainliest plz

i can't explain it i just look at a math problem and auotomatically know the answer

Answer:

(1) 5.50 + 0.88r ≤ 26.00; 23 rides

Step-by-step explanation:

First of all, please understand the equation itself. We are multiplying 0.88 by r, or the number of rides. First, lets determine how many rides Elisha can ride. 0.88 * 23 = 20.24. And 20.24 + 5.50 = 25.74. This is less than 26.00. Now, 0.88 * 24 = 21.12 + 5.50 = 26.7. Though not by much, this is more than 26.00, so, Elisha cannot ride more than 23 rides. That eliminates options (3) and (4). The difference between (1) and (2) is that in (1) we are multiplying 0.88 by r which is correct, however, option (2) is multiplying 5.50 by r which is incorrect. Thus we have our answer. However, please note one important thing. I want you to understand the reason for the "≤" sign as this is very different from <. The sign used here indicates "less than OR equal to" whereas the other is "less than." The sign used indicates that this is the MAX Elisha can spend but he could also spend less. This may seem simple but it is crucial to have a good understanding of this concept as you progress. Any further questions just comment! Hope this helps:) P.S. do not just take the answer! READ, PRACTICE, AND UNDERSTAND.

Answer:

Correct answer is:

b) (-5, -3)

Step-by-step explanation:

Given that area of square is 36 and one sides lies along the line y = 3

To find:

Possible location of a vertex can be = ? Answer to be chosen from the options:

a) (9, 4)

b) (-5, -3)

c) (6, 5)

d) (3, 6)

Solution:

First of all, let us try to find the side of square.

\(Area = Side^2 \\\Rightarrow Side^2 = 36\\\Rightarrow Side = 6\)

Now, given that one side lies on the line y = 3 that means 2 of its coordinates will have their y - coordinates as 3.

Now, we know that all the angles of a square are \(90^\circ\).

So, coordinates of adjacent vertices will have a change in only x value or either y value.

Therefore, we can say that The other two coordinates of the square will have the y coordinates the value either 3 + 6 = 9 or 3 -6 = -3

One such possible square is attached in the answer area.

\(\therefore\) possible location of the one of the vertex is:

b) (-5, -3)

The radii and the centers are explained below.

Given that are equations of circles we need to find the center and the radius of each circle.

1) x² + 6x + y² - 4y = -9

x² + 2·3·x + y² - 2·2·y = -9

Add 13 to both side,

x² + 2·3·x + y² - 2·2·y + 13 = -9 + 13

x² + 2·3·x + y² - 2·2·y + 9 + 4 = 4

(x+3)² + (y-2)² = 4

The center = (-3, 2) and the radius = 2

2) x² + 10x + y² - 8y = -31

x² + 2·5·x + y² - 2·4·y = -31

Add 41 to both sides,

x² + 2·5·x + y² - 2·4·y + 41 = -31 + 41

x² + 2·5·x + y² - 2·4·y + 25 + 16 = 10

(x+5)² + (y-4)² = 10

The center = (-5, 4) and the radius = √10

3) x² - 2x + y² + 4y -11 = 0

x² - 2x + y² + 4y = 11

x² - 2·1·x + y² - 2·2·y = 11

Add 5 to both sides,

x² - 2·1·x + y² - 2·2·y + 5 = 11 + 5

x² - 2·1·x + y² - 2·2·y + 4 + 1 = 16

(x-1)² + (y-2)² = 4²

The center = (1, 2) and the radius = 4

4) x² + 9x + y² = 0

\(\left(x-\left(-\frac{9}{2}\right)\right)^2+\left(y-0\right)^2=\left(\frac{9}{2}\right)^2\)

The center = (-9/2, 0) and the radius = 9/2

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(x - h)^2 + (y - k)^2 = r^2 is the equation for a circle with center (h, k) and radius (r).

What exactly is a math equation?

A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra. Consider the equation 3x + 5 = 14, in which the terms 3x + 5 and 14 are separated by the word "equal."

So, an equation that represents a circle with center (5, -1) and radius of 16 units is:

(x - 5)^2 + (y + 1)^2 = 16^2

or

(x - 5)^2 + (y + 1)^2 = 256

The graph of this equation will be a circle centered at the point (5,-1) with a radius of 16 units.

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The probability that cards are from different suits is \(\frac{39}{51}\)

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

There are 4 suits hearts, diamonds, club and spade in a standard deck of 52 cards.

Each of them has 13 cards each .

So when we pick first card from a single suit

we can pick it in 13 ways , now 12 cards are left.

We can pick the 2nd card from the same suit in 12 different ways .

So to pick 2 cards from a single suit we have 13x12 ways.

to pick 2 card from 4 suits = 4x13x12=624 ways

Total ways of choosing 2 cards from the pack of 52 cards is 52 X 51 =2652

probability that the cards are of same suits=\(\frac{624}{2652} =\frac{12}{51}\)

probability that the cards are of different suits=\(1-\frac{12}{51} =\frac{39}{51}\)

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Answer:

I believe Descartes

Step-by-step explanation:

René Descartes was  one of the key figures in the Scientific Revolution of the 17th Century.  

Using it's concept, it is found that the average rate of change for the number of parts that the company produced from day 1 to day 3 is of 87.

It is given by the change in the output divided by the change in input.

In this problem, in 2 days, from day 1 to day 3, the number of parts increased from 66 to 240, hence the rate of change is given by:

r = (240 - 66)/2 = 87.

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the best description of a population that has a stable age distribution is (e) a growing population in which the proportions of individuals in the different age classes remain constant.

Such a population will have a steady age distribution since the proportion of people in each age group will remain constant.   Independent of the initial age distribution is this steady age distribution and is solely dependent on maintaining stable fertility and death rates.

It has been demonstrated that a closed population's annual rate of increase tends to become constant when it is exposed to age-specific fertility and mortality rates for a considerable amount of time.

A population that has reached this point is referred to as stable, and this consistent rate of growth is known as the intrinsic rate of natural increase.

Such a population will have a steady age distribution since the proportion of people in each age group will remain constant.

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Answer:

(0,-41)

Step-by-step explanation:

Let see if this table of values are proportional.

This mean that the function is proportional. This also gives us the slope which is 19/9.

This tell us that this function will be a linear function since we are trying to find the y intercept we would use this equation

We know the slope and we know a point so let use point slope form to find the intercept.

\(y - y _1= m(x - x _1)\)

Let use points (-18,-79) and let m =19/9.

\(y + 79 = \frac{19}{9} (x + 18)\)

\(y + 79 = \frac{19}{9} x + 38\)

\(y = \frac{19}{9} x - 41\)

This is in slope intercept form so the y intercept is

\( - 41\)

The answer is -41.

Answer:

Step-by-step explanation:

\(\frac{k}{4} + 3 = 14\)

Subtract 3 from both sides

\(\frac{k}{4} = 14 - 3 \\\frac{k}{4} = 11\)

Multiply both sides by 4 to find k.

k = 11 x 4 = 44

Answer:

\(f(x) = 5x {}^{3}+ 2x + 1 \: is \: a \: cubic \: funtion.\)

Answer:

C.  f(x)=5x3 + 2x + 1

Step-by-step explanation:

As r = 4f, The radius of the satellite dish is four times the focal length.

A satellite dish is constructed such that the radius and depth are equal.

How do you demonstrate that the radius is four times the focal length?

The focal length (f) of a satellite dish is directly proportional to the radius (r) of the dish. A parabola is used to create a satellite dish with a focal point. A point on the curve of the parabola where all parallel rays converge is referred to as the focal point.

To show that the radius is four times the focal length, we must first define the parabolic shape of the satellite dish in terms of focal length and radius.

It can be shown that the surface of a parabolic dish is defined by the following equation:

y^2 = 4fx  where: y = distance above the vertex f = focal length x = distance along the dish from the vertex

We can use this formula to relate the radius and focal length of the satellite dish.

The equation for a circle with radius r is given as:x^2 + y^2 = r^2  Where:x = distance along the dish from the vertex y = distance above the vertex

If we let x = 0, we get:y^2 = r^2

Equating the two equations gives:

4fx = r^2

Therefore, r = 2√f

Multiplying both sides by 2 gives: r = 4f

Therefore, we have shown that the radius of the satellite dish is four times the focal length.

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Step-by-step explanation:

Greetings !

Firstly, write down the given expression

\(g(x) = 2x + 8x - 1\)

simplify it to be more accurate where 2+8=10

\(g(x) = 10x - 1\)

plug in -3 in the value of x and simplify the expression

\(g( -3 ) = 10( - 3) - 1 \\ g( - 3) = - 30 - 1\)

Thus, subtract the numbers

\(g( - 3) = - 31\)

Hope it helps!

Answer:

yellow box

Step-by-step explanation:

Answer:

c or the orange option. m^2n/2

Step-by-step explanation:

i hope this helps :)

The common difference of the arithmetic sequence is d = 3.

What is an Arithmetic sequence?

An arithmetic progression, also referred to as an arithmetic sequence, is a set of numbers where each term following the first is derived by adding a fixed constant number to the term before it.

To solve this problem, we can use the formula for the nth term of an arithmetic sequence. The formula is as follows:

an = a1 + (n - 1)d

Where an is the sequence's nth term, a1 is the first term, d is a common difference, and n is the number of terms we want to discover:

We know that a1 = 10 and a4 = 19. By entering these numbers into the formula, we obtain:

          a4 = a1 + (4 - 1)d

          19 = 10 + 3d

In order to find d, we can divide by 3 after subtracting 10 from both sides:

          9 = 3d

          d = 3

Therefore, the common difference of the arithmetic sequence is d = 3.

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To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

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It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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