Determine the probability of each event. Write impossible, unlikely,
as likely as not, likely, or certain. Then, tell whether the probability is
0, close to o, , close to 1, or 1.
1. randomly picking a blue card from a bag containing all blue cards
2. rolling an odd number on a number cube containing numbers 1 through
6
3. picking a red marble from 4 white marbles and 7 green marbles
Find each probability. Write your answer in simplest form.
4. A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking
you choose a file. What is the probability of drawing a number?
5. The names Phil, Angelica, Yolanda, Mimi, and Ed are on slips of
paper in a hat. A name is drawn without looking. What is the
probability of not drawing Ed?
6. A standard deck of cards contains 13 of each suit: red hearts,
red diamonds, black clubs, and black spades. What is the probability
of drawing a red card without looking?
A board game includes the 9 cards below.
Move
Move
Move
Move
Move
back
up
up
up
back
4.
2.
3.
1.
3.
Move
up
6.
Move
back
2.
Move
up
5.
Μονο
up
2.
7. Mia says the probability of moving back is the same as the probability
of moving up, Is she correct? What is the probability of moving back?
Explain.
8. Gavin needs to move up more than 4 spaces to win the game. Is he
likely to win on his next turn? What is the probability that he will not
win on his next turn? Explain.

Answer:

x = 2.1

Step-by-step explanation:

We have:

=

=> sin38 × x = sin90 × 1.3

=> x = 1.3 ÷ sin38

=> x = 2.11155001... = 2.1

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There are 26 letters in the alphabet, and 9 possible numbers, so the total number of possible passwords is 26 x 9 x 26 x 9 x 26 = 9,072,000.

First, there are 26 letters in the alphabet, so for the first character, there are 26 possible choices.

For the second character, there are 9 possible numbers, so for the second character, there are 9 possible choices.

For the third character, there are again 26 possible letters, so for the third character, there are 26 possible choices.

For the fourth character, there are again 9 possible numbers, so for the fourth character, there are 9 possible choices.

For the fifth character, there are again 26 possible letters, so for the fifth character, there are 26 possible choices.

Therefore, the total number of possible passwords is 26 x 9 x 26 x 9 x 26 = 9,072,000.

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The equation of the line is y = -2x+1.

Explanation.

Given:

The straight line passes throught the points (4,-3) and (2,1).

The objective is to find the equation of the line.

Consider the given points as,

The general equation of straight line is,

Here, m stands for slope of the line and b stands for the yintercept of the line.

The slope of the line can be calculated by the formula,

Substitute the given values in the above formula.

Thus, the slope value is obtained.

Now, the value of b can be calculated by the equation,

Substitute the obtained values in the above equation.

By comparing the above equation with the equation of striaght line y = mx+b,

The value of b can be obtained as, b = +1.

Hence, the required final equation of the line is y = -2x+1.

The given function is f(x) = 3x² + 3x - 3. We need to find various values of the function for different inputs.

(a) f(0) = 3(0)² + 3(0) - 3 = 0 + 0 - 3 = -3. Therefore, f(0) = -3.

(b) f(5) = 3(5)² + 3(5) - 3 = 75. Therefore, f(5) = 75.

(c) f(-5) = 3(-5)² + 3(-5) - 3 = 57. Therefore, f(-5) = 57.

(d) -f(x) = -1(3x² + 3x - 3) = -3x² - 3x + 3. Therefore, -f(x) = -3x² - 3x + 3. This tells us that the reflection of the graph of the original function about the x-axis is a downward parabola.

(e) f(x+2) = 3(x+2)² + 3(x+2) - 3 = 3(x² + 4x + 4) + 3x + 6 - 3 = 3x² + 15x + 21. Therefore, f(x+2) = 3x² + 15x + 21. This tells us that the graph of the function is shifted left by 2 units.

(f) f(5x) = 3(5x)² + 3(5x) - 3 = 75x² + 15x - 3. Therefore, f(5x) = 75x² + 15x - 3. This tells us that the graph of the function is stretched horizontally by a factor of 5.

(g) f(-x) = 3(-x)² + 3(-x) - 3 = 3x² - 3x - 3. Therefore, f(-x) = 3x² - 3x - 3. This tells us that the reflection of the graph of the original function about the y-axis is a rightward parabola.

(h) f(x + h) = 3(x + h)² + 3(x + h) - 3 = 3(x² + 2xh + h²) + 3x + 3h - 3 = 3x² + 6xh + 3h² + 3x + 3h - 3. Therefore, f(x + h) = 3x² + 6xh + 3h² + 3x + 3h - 3. This tells us that the graph of the function is shifted left by h units and up by 3h² + 3h units.

In summary, we can see that the function f(x) = 3x² + 3x - 3 has certain properties that help us understand its behavior under different transformations. These properties include shifts in the x- and y-directions, reflections about the x- and y-axes, and horizontal stretching. Understanding these properties can be helpful in analyzing and graphing functions in general.

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Answer:for 2 3/4 as a decimal is 0.75 and for 3 1/8 its 3.125

318 is 3.125 as a decimal and 312.50% as a percentage.

Step-by-step explanation:Hope this helped u also may i plz have brainlist?

(a) False. The set {x∈R^n | Ax=b} is not necessarily convex. It depends on the matrix A and the vector b. For example, if A is a non-convex matrix, then the set of solutions {x∈R^n | Ax=b} will also be non-convex.

(b) True. The set {(x₁,x₂) | x₂ ≤ 3x₁²} is convex. The inequality defines a downward parabolic region, and any line segment connecting two points within this region will lie entirely within the region. (c) False. Not all polygons on the R² plane are convex. For example, a polygon with a concave portion, such as a crescent shape, would not be convex.

(d) True. If S⊆R² is convex, then it must enclose a region of finite area. Convex sets do not have "holes" or disjoint parts, so they form a connected and bounded region. (e) False. If S₁⊆R² and S₂⊆R², and S₁∩S₂=ϕ (empty set), then S₁∪S₂ can be convex. If S₁ and S₂ are both convex sets that do not overlap, their union can still be a convex set. (f) True. If S₁⊆R² and S₂⊆R² are both closed sets, then their union S₁∪S₂ must also be closed. However, it may or may not be convex. The convexity of the union depends on the specific sets S₁ and S₂.

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n = 37, and tenth term = 18

Given progression,

36, 34, 32, ...

The sum of the first n terms is 0

First term(a1) = 36

The common difference (d)= 34-36 = -2,

The formula of the sum of the first n term is,

\(Sn = \frac{n}{2} [2a_{1} + (n - 1)d]\)

substitue the values Sn= 0, a1= 36, d= -2 in the above equation to find n

\(0\)= \(\frac{n}{2} [2(36) + (n-1) (-2)]\)

\(0 = \frac{n}{2}[72- 2n+ 2]\)

\(0 = \frac{n}{2}[74 - 2n]\)

\(74 - 2n = 0\)

\(2n = 74\)

\(n = \frac{74}{2}\)

\(n = 37\)

n = 37

The formula for finding the nth term(10th term):

\(a_{n} = a1 + (n - 1)d\)

n = 10, a1 = 36, d = -2

\(a_{10} = 36 + (10-1)(-2)\)

\(a_{10} = 36 + 9(-2)\)

\(a_{10} = 36 - 18\)

\(a_{10} = 18\)

\(a_{10}\) = 18

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It's worth noting that for larger sample sizes, the t-distribution approaches a standard normal distribution and we can use the z-value instead of the t-value for calculating confidence intervals.

To identify the appropriate t-value for a given combination of confidence level and sample size, we need to use a t-distribution table or calculator. Below are the t-values for the given combinations:

n=10, 99% confidence: The appropriate t-value is 3.169. This is found by looking up the t-value for 9 degrees of freedom (n-1) and 0.005 alpha level (0.01/2) in a t-distribution table or using a calculator.

n=20, 98% confidence: The appropriate t-value is 2.527. This is found by looking up the t-value for 19 degrees of freedom (n-1) and 0.01 alpha level (0.02/2) in a t-distribution table or using a calculator.

n=25, 80% confidence: The appropriate t-value is 1.319. This is found by looking up the t-value for 24 degrees of freedom (n-1) and 0.1 alpha level (0.2/2) in a t-distribution table or using a calculator.

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The probability of the arrow landing on an odd number is the number of odd numbers divided by the total number of possible outcomes. Therefore, the probability of the arrow landing on an odd number is  0.5 or 50%.


To find the probability that the arrow will point at an odd number on a circular board with 8 equal parts, we'll first determine the total number of odd numbers present and then divide that by the total number of possible outcomes.

Step 1: Identify the odd numbers on the board. They are 1, 3, 5, and 7. The game consists of spinning the arrow on a circular board with 8 equal parts, which means there are 8 possible outcomes or numbers. Since we want to know the probability of landing on an odd number, we need to count how many odd numbers are on the board. In this case, there are four odd numbers: 1, 3, 5, and 7.

Step 2: Count the total number of odd numbers. There are 4 odd numbers.

Step 3: Count the total number of possible outcomes. Since the board is divided into 8 equal parts, there are 8 possible outcomes.

Step 4: Calculate the probability. The probability of the arrow pointing at an odd number is the number of odd numbers divided by the total number of possible outcomes.

Probability = (Number of odd numbers) / (Total number of possible outcomes)
Probability of landing on an odd number = Number of odd numbers / Total number of possible outcomes
Probability of landing on an odd number = 4 / 8

Step 5: Simplify the fraction. The probability of the arrow pointing at an odd number is 1/2 or 50%.

So, the probability that the arrow will point at an odd number is 1/2 or 50%.

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Answer:

About 3.41 inches per year

Step-by-step explanation:

2 cm per 12 week

52 weeks in a year

52/12 = about 4.33

2 cm * 4.33 =  about 8.67 cm

2.54 cm = 1 inch

8.67/2.54 = about 3.41 inches per year

Hope this helps!

(pls mark brainliest)

Answer:

B and D

Step-by-step explanation:

\(1. \: 2x - 3 + 5 {x}^{2} = 0 \\ 2. \: 5 {x}^{2} + 5x - 3x - 3 = 0 \\ 3. \: 5x(x + 1) - 3(x + 1) = 0 \\ 4. \: (x + 1)(5x - 3) = 0 \\ 5. \: x = - 1 \: \: \: \frac{3}{5} \)

Answer:

I think the answer is 72600

The volume of a cube with side length of 8 units is 512 units³.

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

The faces of a cube are all equal.

Therefore,

volume of a cube = s²

where

Therefore, let's find the volume of a cube with side length of 8 units.

s = 8 units

Volume of the cube = 8³

Volume of the cube = 8 × 8 × 8

Volume of the cube = 512 unit³

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Answer:

0

Step-by-step explanation:

(5-5)/(-4+3) = 0/-1 = 0

The value of y-intercept is 490.

This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept. The key message is (0, y).

A straight line's Y intercept is simply the point at which the line intersects the Y axis. The line crosses the Y axis at 1 in the diagram above. The point is denoted by and the Y intercept is equal to 1. (0,1). Keep in mind that the point's x-coordinate is always zero for the y-intercept.

2x + 3y = 1,470

3y = 1470 – 2x

y = 1470/3 – 2/3x

y = 490 – 2/3x

y = -2/3 * x + 490

the slope is -2/3

and y intercept is 490

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The standard error with "mean of 7 for some characteristic of interest and a standard deviation of 9.6 and a sample is drawn from this population of size 64" is 1.2.

Standard deviation of the theoretical distribution of a large population of such estimates is equal to the standard error, which is a measure of an estimate's statistical accuracy. The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.

Here,

Sample size=64

Standard deviation= 9.6

Error=Standard deviation/Sample size

=σ/√n

=9.6/√64

=9.6/8

=1.2

The sample is taken from this population of 64 people, with a mean of 7 for some relevant characteristics, a standard deviation of 9.6, and a standard error of 1.2.

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The approximate demand when the price is decreased to $2.25 is 4,800 boxes.

We know that demand is inversely proportional to price, so we can set up the following equation:

x ∝ 1/p

If x denotes demand and p denotes price. We can introduce a proportionality constant k to this equation:

x = k/p

Using the information in the problem, we can calculate the value of k. The demand is 1,800 boxes when the price is $6:

1,800 = k/6

Solving for k, we get:

k = 6 x 1800

k = 10,800

Now we can use this value of k to find the demand when the price is $2.25:

x = 10,800/2.25

x ≈ 4,800

Therefore, the approximate demand when the price is $2.25 is 4,800 boxes.

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Answer:

40m

Step-by-step explanation:

Radius is half of diameter

$36  is remaining into Blake's account after a deposite of $96.

What is Integer?

In Mathematics, integers are the collection of whole figures and negative figures. analogous to whole figures, integers also doesn't include the fractional part. therefore, we can say, integers are figures that can be positive, negative or zero, but can not be a bit. We can perform all the computation operations, like addition, deduction, addition and division, on integers. The exemplifications of integers are, 1, 2,,8,-9,-12, etc. The symbol of integers is “ Z “.

Blake's deposit amount =$96

He had overdrawn his account = $60

So, remaining amount into Blakes account = $96 - $60 = $36

Therefore, $36  is remaining into Blake's account after a deposite of $96.

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Answer:

1. F

2. (2,2)

3.  points P and E

Step-by-step explanation:

Answer:

A box has 6 pencils. Each pencil weighs x grams. The 6 pencils weigh a combined total of 54 grams.

Step-by-step explanation:

Answer:

36 mins

Step-by-step explanation:

0.5 miles/6 mins = 3 miles/x mins

In order to convert the ratio from 0.5 miles to 3 miles, 0.5 was multiplied by 6. Therefore, to keep the ratio the same, 6 minutes must also be multiplied by 6 to find x. This means the answer is:

3 miles/36 mins

Answer:

3x + 21 is your answer

Step-by-step explanation:

3(x+7)

3 × x = 3x

3 × 7 = 21

3x = 21

The change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

To quantify the change in the area of the surface of a cube when its side length triples from s units to 3s units, we can set up an integral.

Let's denote the side length of the cube as "x". The initial side length is "s" and the final side length is "3s". We want to find the change in surface area, which is the difference between the final surface area and the initial surface area.

The surface area of a cube with side length "x" is given by 6x², as each face of the cube has an area of x² and there are 6 faces.

The change in surface area can be calculated as:

ΔA = ∫(6x²) dx,

where the integral is taken from the initial side length "s" to the final side length "3s".

Now let's evaluate the integral:

∫(6x²) dx = 2x³ + C,

where C is the constant of integration.

To find the change in surface area, we substitute the limits of integration:

ΔA = [2x³]s to 3s

= 2(3s)³ - 2s³

= 2(27)s³ - 2s³

= 52s³

Therefore, the change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

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Answer:

(a) False

(b) False

(c) True

Step-by-step explanation:

(a) If we had measured the heights of the men and women in centimeters (1 inch= 2.54 cm), the correlation coefficient would have been 2.54 times larger.

No, since changing the units of measurement does not change the correlation coefficient

(b) There is a strong negative association between the heights of men and women because women are always smaller than the men they date.

Negative association means that as one variable increases, the other decreases, Here, we see that as the heights of the men increase, the height of the women do not reliably decrease, hence there is no strong negative asscoiation

(c) There is a positive association between the heights of men and women.

We see from the values given that as the heights of men increase, so do the heights of women and vise versa, so there is a positive association between the heights of men and women

The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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After 37 bounces, the ball's height will be less than 1 foot.

The initial height of the ball is 50 feet.

After first bounce, the ball will reach a height of:

= 50 feet * (1 - 10%)

= 45 feet.

After second bounce, it will reach a height of:

= 45 feet * (1 - 10%)

= 40.5 feet.

Height decreases by 10% after each bounce.

We have to set up an equation:

50 feet * (0.9)^n < 1 foot

Simplifying:

0.9^n < 1/50

Taking the logarithm:

n * log(0.9) < log(1/50)

n > log(1/50) / log(0.9)

n > 37.1298771746

n > 37.13.

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To find the limit of (x + x²)/(9 − 4x²) as x approaches infinity, we can first try to apply l'Hospital's Rule, which states that if the limit of the ratio of the derivatives exists, then it is equal to the original limit.

However, in this case, a more elementary method is available: dividing both the numerator and denominator by the highest power of x.

1. Divide both the numerator and denominator by x²: lim (x/x² + x²/x²) / (9/x² - 4x²/x²) x→[infinity]

2. Simplify the expressions: lim (1/x + 1) / (9/x² - 4) x→[infinity]

3. As x approaches infinity, the terms with x in the denominator will approach 0: lim (0 + 1) / (0 - 4) x→[infinity]

4. Simplify the expression: (1) / (-4) The limit of (x + x²)/(9 − 4x²) as x approaches infinity is -1/4.

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