What number is the opposite of 0 ?

a.The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b.  the probability is 0.1399.

c. the quarterback can expect to throw about 2.27 passes before completing one.

d. the probability is 0.1865.

e. the probability is 0.7349.

The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.

a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:

P(X=k) = \((1-p)^{k-1}\)×p

where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.

The probability distribution table for the first six attempts is shown below:

X P(X=k)

1 0.44

2 0.56 ×0.44

3 0.56²×0.44

4 0.56³ × 0.44

5 0.56⁴ ×0.44

6 0.56⁵×0.44

b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:

P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰

= 0.56²×0.44

= 0.1399

Therefore, the probability is 0.1399.

c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:

E(X) = 1/p

where p is the probability of completion on each attempt.

In this case, p = 0.44, so the expected number of passes is:

E(X) = 1/0.44

= 2.27

Therefore, the quarterback can expect to throw about 2.27 passes before completing one.

d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:

P(X > 5) = 1 - P(X <= 5)

= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]

= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]

= 0.1865

Therefore, the probability is 0.1865.

e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:

P(X ≥ 4) = 1 - P(X < 4)

where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.

Using the binomial probability distribution table or calculator, we can find:

P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]

= 0.7349

Therefore, the probability is 0.7349.

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Answer:

The radius is 6!

Step-by-step explanation:

We know that both OA and OB lay on the circle, and O is the center.

In this equation you are trying to find O. We also know that OA = OB.

2x + 9 = 27 - x

2x = 18 - x (subtracted 9 from each side)

3x = 18 (added 1x to each side)

x = 6 (divided both sides by 3, to find x)

I hope this helps you! Comment if more help is needed :-)

PS: CALM YO TIDDIES!! STOP CRYING!! ASSDHSJDFSDHGJKJKJHL

Answer: The gram pacer test is a multi stage-

Step-by-step explanation:

Answer:

the 4

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

500,000, 40,000, 2,000, 900, 70

Answer:

Step-by-step explanation:

The correct answer is q

Because we have been given the equation p + q already so if we observe the equation carefully we see that if we add the variable q to the variable p we get the answer p + q

The answer choice which correctly draws a comparison between the end behaviors of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.

As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).

It therefore follows that as; x reduces (approaches -∞), the y value increases.

And, as x -increases (approaches +∞), the y-value decreases.

For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).

Consequently, as x reduces (approaches -∞), the y- values decrease.

And, as x increases (approaches +∞), the y-values decrease.

Ultimately, the two functions in discuss can be concluded to have; Choice C.

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Answer:

a)

b)-4

Step-by-step explanation:

a) f(13) = 13-7=

b) f(3)= 3-7= -4

The median number of hours slept by boys the previous night is 6.5 hours, while the median number of hours slept by girls the previous night is 7 hours.

The given line plots display the results of a survey of 10 boys and 10 girls regarding the number of hours they slept the previous night. To find the median, follow these steps:Put the observations in ascending order.Divide the data into two equal parts.

To locate the median of the data, find the value that is at the center of the data when ordered.To calculate the medians of the given line plots, we must first arrange the observations in ascending order and divide them into two equal parts.

We have 10 boys and 10 girls in total, so we will have 20 observations for each line plot: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10When arranged in ascending order,

the observations are as follows: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10 Now,

we must determine the medians for each data set. Since each data set has an even number of observations, the median is the average of the two middle values.

The medians for each data set are as follows: Boys’ line plot: (6 + 7) / 2 = 6.5Girls’ line plot: (7 + 7) / 2 = 7

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The coordinates of the point halfway between the origin and point B is [0, 5].

The coordinates of the midpoint of point A and point B is [5, 4].

The coordinates of the midpoint of point P and point Q is [7, 8].

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and then divide by two (2):

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

For line segment BO, we have:

Midpoint of BO = [(0 + 0)/2, (10 + 0)/2]

Midpoint of BO = [0, 10/2]

Midpoint of BO = [0, 5].

For line segment AB, we have:

Midpoint of AB = [(2 + 8)/2, (4 + 4)/2]

Midpoint of AB = [10/2, 8/2]

Midpoint of AB = [5, 4].

For line segment QP, we have:

Midpoint of QP = [(7 + 7)/2, (10 + 6)/2]

Midpoint of QP = [14/2, 16/2]

Midpoint of QP = [7, 8].

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The equation which can be used to solve for y, the length of the room according to the task content are;

According to the task content, the equations which can be used to solve for y, the length of the room according to the task content is to be determined.

Since the width of the room is 5 feet less than the length of the room.

Therefore, length = y and width = (y -5).

The area of the rectangle is therefore;

y (y -5) = 750

Therefore, the required equations are; 750 - y(y-5) = 0.

Or; y² - 5y = 750.

Or; (y + 25)(y – 30) = 0.

Therefore, the equation which can be used to solve for y, the length of the room according to the task content are;

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Answer:

Step-by-step explanation:

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.

Answer:

2/5 of a mile

Step-by-step explanation: steps in picture

Answer: They resold them for $30 more than the original price.

Answer: 37.5%

Step-by-step explanation:

$80 - $50 = $30,

$30/$80 = 0.375 > 37.5%

Answer:

2/10 because if the two fraction

The equivalent fractions of 8/11 = 16/22 , 24/33 , 32/44

The equivalent fractions of 1/10 = 2/20 , 3/30 , 4/40

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the first fraction be represented as A

Now , the value of A = 8/11

Let the second fraction be represented as B

Now , the value of B = 1/10

And , the equivalent fractions of A is given by

A = 8/11 , 16/22 , 24/33 , 32/44

And , the equivalent fractions of B is given by

B = 1/10 , 2/20 , 3/30 , 4/40

Hence , the fractions are solved

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The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5

From the question, we have the following parameters that can be used in our computation:

x(3x + 5)-5(2x - 1)

Open the brackets

So, we have

3x² + 5x - 10x + 5

Evaluate the like terms

So, we have

3x² - 5x + 5

Hence, the simplified expression is 3x² - 5x + 5

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The product of 2.3 × 1.5 from the area model is 3.45

The product of two numbers implies the multiplication of the two numbers. Here, the two numbers to be multiplied together are decimal numbers.

Using the long multiplication method.

     2.3

×     1.5    

   1 1 5

+ 2 3      

  3 . 4 5  

So, what we did basically is to first multiply the two numbers normally and then, decide how many decimal places are the two numbers which two.

Therefore, the product of 2.3 × 1.5 from the area model is 3.45

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B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

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Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

Answer:

C. all real numbers except -3 and 2

Step-by-step explanation:

These two numbers will make the denominator equal to zero.

The domain of the rational expression is all real numbers except -3 and 2. The correct option is C.

The domain of the function is defined as the set of all the possible values of the function. The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f make up this set (x). A function's range is the set of values it can take as input. After we enter an x value, the function outputs this set of values.

Given rational expression is,

E = x(x-2/(x- 2)(x+ 3)

For the above rational expression when we substitute the values of x as 2 and -3 the rational expression will give undefined values.

Therefore, the domain of the rational expression is all real numbers except -3 and 2. The correct option is C.

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(a) U is a subspace of L(V, W) (b) F is a linear map, and U is the null space of F. (c) The dimension of U is n - 1

The dimension of U is n - 1

(a) To demonstrate that U is a subspace of L(V, W), we must demonstrate that it meets the three subspace properties:

If T1 and T2 are in U, then T1 + T2 is in U as well, since if T1(v) = 0 and T2(v) = 0, then (T1 + T2)(v) = T1(v) + T2(v) = 0 + 0 = 0.

If T is in U and c is a scalar, then cT is in U, since if T(v) = 0, then (cT)(v) = c * T(v) = c * 0 = 0.

Containing the zero vector: Because 0(v) = 0, the zero transformation in L(V, W), indicated by 0, is in U.

As a result, U is a subspace of L. (V, W).

(b) To demonstrate that F is a linear map, we must demonstrate that it meets the following two properties:

Addition linearity: F(T1 + T2) = (T1 + T2)(v) = T1(v) + T2(v) = F(T1) + F(T2) (T2).

Homogeneity is defined as F(cT) = (cT)(v) = c * T(v) = c * F. (T).

As a result, F is a linear map. To demonstrate that U is the null space of F, we must first demonstrate that U is the set of all T in L(V, W) such that F(T) = 0. In other words, T(v) = 0.

(c) A basis for U can be used to calculate the dimension of U. Because U is a subspace of L(V, W), we may construct a basis for U by limiting a basis for L(V, W) to U. A basis for L(V, W) can be produced by designating as T1, T2,..., Tn the set of all transformations that send the standard basis vectors of V to the standard basis vectors of W. These transformations' constraints to U are T1, T2,..., Tn such that T1(v) = T2(v) =... = Tn(v) = 0. Because v = 0, T1, T2,..., Tn constitute a linearly independent set. As a result, dim(U) = n - 1.

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Step-by-step explanation:

sin45 deg = 6/b

Root2/ 2 = 6/b

you will find b value

a = 8 + x

tan45 deg = 6/x

1 = 6/x

x = 6

a = 8+6

= 14

The value of a is 16 units and the value of b is 11.42 units.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sine rule for triangles a/sinA = b/sinB = c/sinC.

Let, (a - 8) = x and the angle opposite to the side b is 90°.

Therefore,

b/sin90° = 8/sin45° = x/sin45°.

b/sin90° = 8/sin45°

b = 8/0.7.

b = 11.42.

11.42/sin90° = x/sin45°.

11.42 = x/0.7.

x = 8.

So, The value of a is (8 + 8) = 16 units.

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Answer:

y = mx - 4

Step-by-step explanation:

m is the slope, while -4 is the y intercept

We can pose this statement: Four to the fourth power, as follows:

We need to multiply the base, in this case, 4, four times itself.

The result for that is 256.

Hello

2/7 = 2x5/7x5 = 10/35

10/35 > 6/35

=> 2/7 > 6/35

To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.

Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:

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It is an example of Type I error.

About Type I error

The rejection of a null hypothesis (H0) when it is actually true is a Type I error. It is represented by the following condition,

Failure to reject a null hypothesis when it is true that it is false which is a Type II error.

How is this an example of Type I error?

The given case's hypothesis is described as follows:

H₀: The product has no effect on the plant's height.

Hₐ: The substance causes the plant to enlarge.

The sample claims that the product causes the plant to grow taller, however in reality, it has no effect on the plant's height.

Therefore, the sample recommends rejecting the null hypothesis even though it is true. Consequently, a result, this error is a Type I error.

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The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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Answer:

11

Step-by-step explanation:

we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7