in a binomial situation, n = 4 and π = 0.20. find the probabilities for all possible values of the random variable

The curve of the given vector equation is shown below: It can be seen that the arrow points towards the positive x-axis, which is in the direction of increasing t.

To sketch curve of the given vector equation, r(t) = < t , 2 - t , 2t >, and indicate with an arrow the direction in which t increases, we need to follow some steps.

Step 1: Create a table for the vector. We need to create a table and fill in the values for t, x, y, and z. Let's do it below:

\(tt (time)xx (position)x(t)x(t)(2−t)(2−t)2t2t\)

Step 2: Plotting the points. We can plot the points by simply taking the x, y and z values from the table created above. The curve will pass through these points. The curve will be three-dimensional.

Step 3: Indicate the direction of t. To indicate the direction of t, we use an arrow on the curve. The arrow is drawn such that it starts from the initial point and points in the direction in which the parameter (in this case, t) increases. In this problem, since t increases in a positive direction, we take the arrow pointing towards the positive x-axis.

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X°5

Step-by-step explanation:

From the two column proof we have been able to show that:

m∠6 = 20° and m∠4 = 160°

Two column proof is one of the most common formal proofs in elementary geometry courses. The known or derived statements are written in the left column, and the reason why each statement is known or valid is written in the adjacent right column.  

The complete two column proof is as follows:

Statement 1: a ║ b

Reason 1: Given

Statement 2: m∠6 = ¹/₈m∠4

Reason 2: Given

Statement 3: m∠6 + m∠4 = 180°

Reason 3: Supplementary Angles

Statement 4: m∠6 + 8*m∠4 = 180°

Reason 4: Substitution

Statement 5: m∠6 = 20° and m∠4 = 160°

Reason 5: Algebra

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Answer:

x = 9/2, y = 15/4

Step-by-step explanation:

The line intersecting two distinct points on both sides of the triangle are parallel

So the corresponding angles are equal
Also, we have a common angle at point A
So, both the triangles are similar by AAA criteria

Now, the sides will be proportional as the triangles are similar
4/7 = 5/5+y = 6/6+x
Solving this, we get y = 15/4 units
and x = 9/2 units

Answer:

not really sure but i need points

Step-by-step explanation:

This That This That THis THat

Answer:

y=x-1

Step-by-step explanation:

Answer:

13. 4,000+600+70+8

14. 90,000+8,000+400+30+8

Step-by-step explanation:

Answer:

13. 4,000+600+70+8

14.90,000+8,000+400+30+8

Step-by-step explanation:

Answer:

$223.45

Step-by-step explanation:

premium fuel: 4.59 x 545

= 2501.55

regular fuel: 4.18 x 545

=2278.1

2501.55-2278.1 = 223.45

Answer:

Step-by-step explanation:

Let's solve each problem one by one:

1. Adam has $2 and is saving $2 each day. Brodie has $8 and is spending $1 each day. After how many days will each person have the same amount of money?

Let's assume the number of days is represented by 'x'.

Adam's money after 'x' days = $2 + $2x

Brodie's money after 'x' days = $8 - $1x

To find the number of days when they have the same amount of money, we set up an equation:

$2 + $2x = $8 - $1x

Simplifying the equation:

$2x + $1x = $8 - $2

$3x = $6

x = $6 / $3

x = 2

Therefore, after 2 days, Adam and Brodie will have the same amount of money.

Answer: A. 5x + 4 = 3x - 2 (incorrect)

2. A number increased by 8 is equal to twice the same number increased by 7.

Let's represent the number by 'x'.

Equation: x + 8 = 2x + 7

Solving the equation:

x - 2x = 7 - 8

-x = -1

x = 1

Therefore, the number is 1.

Answer: D. x + 8 = 2x + 7 (correct)

3. Spot weighs 6 pounds and gains one pound each week. Buddy weighs 2 pounds and gains 2 pounds each week. After how many weeks will the puppies weigh the same?

Let's represent the number of weeks by 'x'.

Spot's weight after 'x' weeks = 6 + 1x

Buddy's weight after 'x' weeks = 2 + 2x

To find the number of weeks when they weigh the same, we set up an equation:

6 + 1x = 2 + 2x

Simplifying the equation:

x - 2x = 2 - 6

-x = -4

x = 4

Therefore, after 4 weeks, Spot and Buddy will weigh the same.

Answer: A. x + 6 = 2x + 2 (incorrect)

4. Five less than two times a number is equal to 4 less than the same number.

Let's represent the number by 'x'.

Equation: 2x - 5 = x - 4

Solving the equation:

2x - x = -4 + 5

x = 1

Therefore, the number is 1.

Answer: B. 2x - 5 = x - 4 (correct)

5. Ann has an empty cup and adds 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how many seconds will they have the same amount of water?

Let's represent the number of seconds by 'x'.

Ann's water after 'x' seconds = 1x ounces

Bob's water after 'x' seconds = 12 - 2x ounces

To find the number of seconds when they have the same amount of water, we set up an equation:

1x = 12 - 2x

Simplifying the equation:

1x + 2x = 12

3x = 12

x = 12 / 3

x = 4

Therefore, after 4 seconds, Ann and Bob will have the same amount of water.

Answer: A. -2x + 12 = -x + 6 (incorrect)

6. Tom has

12 candies and eats 2 each minute. Sue has 6 candies and eats 1 every minute. After how many minutes will they have the same number of candies?

Let's represent the number of minutes by 'x'.

Tom's candies after 'x' minutes = 12 - 2x

Sue's candies after 'x' minutes = 6 - 1x

To find the number of minutes when they have the same number of candies, we set up an equation:

12 - 2x = 6 - 1x

Simplifying the equation:

-2x + 1x = 6 - 12

-x = -6

x = 6

Therefore, after 6 minutes, Tom and Sue will have the same number of candies.

Answer: A. -2x + 12 = -x + 6 (correct)

The equivalent ratios to 8 to 3 following are :

16 to 6

24 to 9

To write equivalent ratios to 8 to 3, you can use multiplication.

For example, you can multiply both terms in the ratio by 2 to get 16 to 6, or by 3 to get 24 to 9.

In general, to write equivalent ratios, you can multiply or divide both terms in the ratio by the same number. For example, if the ratio is a:b, you can write equivalent ratios by multiplying or dividing both a and b by the same number.

For example, the following ratios are all equivalent to 8 to 3:

16 to 6 (obtained by multiplying both terms by 2)

24 to 9 (obtained by multiplying both terms by 3)

4 to 1.5 (obtained by dividing both terms by 2)

8 to 3 (the original ratio)

2 to 0.75 (obtained by dividing both terms by 4)

These ratios all represent the same relationship between the two quantities, but the numbers are different.

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The covariance and the correlation coefficient between two variables should always have the same sign is False.

The covariance and the correlation coefficient between two variables can have different signs. The covariance is a measure of the direction and strength of the linear relationship between two variables. It can be positive, indicating a positive relationship where both variables move in the same direction, or negative, indicating an inverse relationship where the variables move in opposite directions.

On the other hand, the correlation coefficient is a standardized measure of the linear relationship between two variables, ranging from -1 to 1. It can also be positive or negative, depending on the direction of the relationship, but its magnitude is always between 0 and 1, indicating the strength of the relationship.

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Answer:

H. 15 ft by 15 ft

Step-by-step explanation:

area of square = side²

225 ft² = side²

side = √(225 ft²)

side = 15 ft

Answer: H. 15 ft by 15 ft

Answer:

A

23778.71

Step-by-step explanation:

here you go Mark me as brainliest

Answer:

A ≈ 23800 cm²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = π × 87² = 7569π ≈ 23800 cm² ( to 3 significant figures )

Answer:

No

No

Yes

Yes

No

No

Step-by-step explanation:

I hope this helps

Answer:

I need this answer so badly

Answer:

Area of each sector=\(12.6cm^2\)

Step-by-step explanation:

We are given that

Length of each wooden od that connects the center of the fan to its edge ,r=12 cm

Total number of sectors=18

We have to find the approximate area of each sector.

Area of semi-circle=\(\frac{1}{2}\pi r^2\)

Using the formula

Area of fan=\(\frac{1}{2}\pi (12)^2=72 \pi cm^2\)

Area of each sector=\(\frac{area\;of\;fan}{Total\;number\;of\;sectors}\)

Area of each sector=\(\frac{72\pi}{18}=\frac{72\times 3.14}{18} cm^2\)

Where \(\pi=3.14\)

Area of each sector=\(12.56cm^2\approx 12.6 cm^2\)

Answer:

$73

Step-by-step explanation:

Using the binomial test, the mean for the number of women struck by lightning in the null distribution is 324.

In the given question,

From the normal approximation to a binomial test:

From 1995 - 2008 in the US 648 people were struck by lightning.

There are 117 of them were women.

We want to see if this observation differs from the null hypothesis, that 50% of people who are hit by lightning would be women, based on the proportion of women in the population as a whole.

We have to find the mean for the number of women struck by lightning in the null distribution.

Total people(n)= 648

Total women= 117

The null hypothesis(P)=50%=50/100=0.50.

So the mean of number of women that struck by lightning in the null distribution.

Mean=n*P

Mean=648*0.50

Mean=324.

Hence, the mean for the number of women struck by lightning in the null distribution is 324.

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Answer:

Mention any Two study routes(courses or program) that higher education could offer.

The measurement 22.4 ft is more accurate, while the measurement  based on precision alone 5.82 ft is more precise.

Accuracy refers to how close a measurement is to the true or accepted value. In this case, since we don't have the true value or a reference point, we can't determine the accuracy directly. However, we can compare the measurements to each other to determine which one is closer to a commonly accepted value, if any.

Precision, on the other hand, refers to the consistency and reproducibility of a measurement. The measurement 5.82 ft has a higher precision because it has more decimal places, indicating a more refined measurement.

Therefore, based on precision alone, 5.82 ft is more precise. However, without a reference point or true value, we cannot determine the accuracy of either measurement.

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Among the provided answer options, the closest value to -0.555 is -0.55, which is option c. Therefore, option c (-0.55) is the value of c that satisfies P(Z ? c) = 0.71.

The notation P(Z ? c) represents the probability that a standard normal random variable Z is less than or equal to c. To find the value of c that corresponds to P(Z ? c) = 0.71, we need to determine the Z-score associated with this probability.

Using a standard normal distribution table or a calculator, we can find that a Z-score of approximately 0.555 corresponds to a cumulative probability of 0.71. However, since we are looking for the value of c in P(Z ? c), we need to consider the opposite inequality.

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The sample variance, denoted by S^2, is an unbiased estimator of the population variance σ^2. However, S^2 cannot attain the Cramer-Rao lower bound.

To show that S^2 is an unbiased estimator of σ^2, we need to demonstrate that its expected value is equal to σ^2. By definition, S^2 is calculated as the sum of squared deviations from the sample mean, divided by (n-1), where n is the sample size. Taking the expected value of S^2, we can show that it equals σ^2.

However, S^2 cannot attain the Cramer-Rao lower bound, which represents the minimum achievable variance for an unbiased estimator. The reason is that S^2 is based on the sample mean, which is itself a random variable and introduces additional variability. Therefore, S^2 cannot achieve the minimum variance bound set by the Cramer-Rao inequality.

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Answer:

p because variables are shown by letters not numbers

Hope this helped:)

Step-by-step explanation:

Answer:

Ryan's bank account decreases by $12 every week.

Step-by-step explanation:

To find the weekly change in Ryan's bank account, we need to divide the total amount withdrawn over the last 6 weeks by the number of weeks. If Ryan withdrew $72 over the last 6 weeks, and we divide that amount by 6, we get $72/6 = $<<72/6=12>>12 per week.

Therefore, the integer representing the weekly change in Ryan's bank account is 12. This means that Ryan's bank account decreases by $12 every week.