How to do mixed fractions

The only binomial random variable among the choices is 1: the number of US adults with type O-negative blood in a random sample of 100 individuals.

To determine whether a random variable follows a binomial distribution, it must meet the following criteria:

The experiment consists of a fixed number of trials.

Each trial results in one of two possible outcomes, which we will call success and failure.

The probability of success is the same for each trial.

The trials are independent.

Using these criteria, we can determine which of the following choices are binomial random variables:

The number of US adults with type O-negative blood in a random sample of 100 individuals.

This is a binomial random variable because:

The experiment consists of a fixed number of trials (100 individuals sampled).

Each trial results in one of two possible outcomes (has O-negative blood or does not have O-negative blood).

The probability of success (having O-negative blood) is the same for each trial (7%).

The trials are independent.

The number of US adults who have type O-negative blood.

This is not a binomial random variable because:

The experiment does not consist of a fixed number of trials.

Each individual in the population does not have only two possible outcomes (has O-negative blood or does not have O-negative blood).

The probability of success is not the same for each individual in the population.

The trials are not independent because the number of individuals with O-negative blood affects the probability of success for future trials.

Therefore, the only binomial random variable among the choices is 1: the number of US adults with type O-negative blood in a random sample of 100 individuals.

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Answer:

Step-by-step explanation:

(3-1)/(-2-3)= -2/5

y - 1 = -2/5(x-3)

y - 1 = -2/5x + 6/5

y - 5/5 = -2/5x + 6/5

y = -2/5x + 11/5

standard form is

5y = -2x + 11

2x + 5y = 11

The minutes it will take for the tank to be 3/5 full is 720 minutes.

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 3/5.

The first step is to determine how many gallons the tank would have when it is 3/5 full. To determine this value, multiply the volume of the tank by 3/5.

Gallons when the tank is 3/5 full = 3/5 x  48,000 = 28,800

Now, divide the speed of the water by the gallons in the tank when it is 3/5 full.

28,800 / 40 = 720 minutes

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The process of evaluating a decision in the face of uncertainty by quantifying the likelihood and magnitude of an undesirable outcome is known as risk analysis

Risk analysis is define as the the process of identifying and analyzing potential issues that could negatively impact key business initiatives or projects. This process is done in order to help organizations avoid or mitigate those risks.

So, The process of evaluating a decision in the face of uncertainty by quantifying the likelihood and magnitude of an undesirable outcome is known as risk analysis

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Use the substitution method to solve the system of equations.

Notice that the coefficient of y in the first equation is 1:

Then, isolate y from the first equation. Next, replace the expression for y in the second equation to obtain a single equation with the x-variable only:

Solve for x:

Replace the value of x into the expression for y:

Therefore, the solution for the given system of equations is:

Answer:

-35

Step-by-step explanation:

-|35|

-35

Answer:

-35

Step-by-step explanation:

−|−5⋅(−7)|

Multiply inside the absolute values

−|35|

Take the non negative value inside the absolute value

- 35

Answer:

x = (8-6i)/10

x = (8+6i)/10

Step-by-step explanation:

Based on the information provided, it can be determined that there are 120 steps visible on the escalator at any given time.

Assume that there are x total steps, e for the escalator speed, and b for Bob's pace.

Bob noticed 75 stairs and climbed the entire escalator in the time it took him to ascend it. As a result, the escalator must have added an extra x + 75 steps.

Let e and b be the speeds of the escalator and Bob, respectively.

Alice took 150 steps at a speed of (3b-e) step rate as she descended the stairs.

Bob took 75 steps at a speed of (b+e) each step as he ascended.

Since, Al and Bob were walking the same distance at a time , we have,

150(3b-e) = 75(b+e)  

Solving  these two equation we get ,  e/b = 3/5

Thus while Bob took 75 steps to go up, the escalator contributed an extra

3/5 * 75 = 45 steps

Finally, there is a total of 75+45=120 steps in the length of the escalator.

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The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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Answer: 15,840 Ft.

Step-by-step explanation: Brainliest, Please and Thank you :)

Answer:

Step-by-step explanation:

Let's start with definitions.

Domain: Indicates the values that x can be, has a certain set

Range: Indicates the values that y can be, has a certain set

To find the domain of a graph, we want to see where all the x values fit. In the graph below's case, the domain would be  -3<x≤1

To find the range, we need to see where all the y values fit. In the graph below's case, the range would be -4≤y<0.

Notice how some of them are < instead of ≤. This is because they have an open circle. When a point has an open circle, it means that point can't be included in the equation, hence the < instead of ≤

Let \(e^{f(x)}\) be an exponential function, the derivative of this is found by the formula below.

In summary, we multiply the general expression by the derivative of the exponent. Let's apply it and get results.

Answer:

9x^2 + 2x - 5

Step-by-step explanation:

7x^2 - 5x + 3

2x^2 + 7x - 8

__________

9x^2 + 2x - 5

Option B is the correct answer.

An expression has numbers, variables, and mathematical operations. The factors of the expression 4x³+x²-8x-2 by grouping are x²(4x+1)-2(4x+1).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The factors of the expression by grouping can be done as,

\(4x^3+x^2-8x-2\)

Take x² as the common factor from the first two terms while -2 from the last two terms,

\(4x^3+x^2-8x-2\\\\=x^2(4x+1)-2(4x+1)\)

Thus, the factors of the expression 4x³+x²-8x-2 by grouping are x²(4x+1)-2(4x+1).

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Answer:

The width, x, is in the interval (0, 7), or 0 < x < 7.

Step-by-step explanation:

width = x

length = 7x + 7

area = x(7x + 7)

x(7x + 7) < 392

7x² + 7x - 392 < 0

x² + x - 56 < 0

(x - 7)(x + 8) < 0

We have two points of interest on the number line:

-8 and 7

That makes three intervals of interest:

(-∞, -8), (-8, 7), (7, ∞)

Now we test a number from each interval.

Try -10:

(x - 7)(x + 8) < 0

(-10 - 7)(-10 + 8) < 0

(-17)(-2) < 0

34 < 0 False

Interval (-∞, -8) does not work.

Try 0:

(x - 7)(x + 8) < 0

(0 - 7)(0 + 8) < 0

(-7)(8) < 0

-56 < 0 True

Interval (-8, 7) works.

Try 10:

(x - 7)(x + 8) < 0

(10 - 7)(10 + 8) < 0

(3)(18) < 0

54 < 0 False

Interval (7, ∞) does not work.

Since we are dealing with a rectangle, the length and width must be positive numbers.

The interval (-8, 7) works mathematically for the width, but it must be limited to positive numbers, so the width must be in the interval

(0, 7)

After comparing the image and the figure, we found that the direction and angle of rotation are 180° counterclockwise rotation.

A transformation known as a rotation involves turning the figure either clockwise or counterclockwise. The centre of rotation is the fixed location where the rotation occurs. The term "angle of rotation" refers to the amount of rotation. A figure can be rotated 90 degrees, or a quarter turn, in either a clockwise or counterclockwise direction. You have rotated the figure 180 degrees when you have spun it exactly halfway. The figurine may be rotated 360° by turning it all the way around. A counterclockwise turn has a positive magnitude because a clockwise rotation indicates a negative magnitude. Rotational symmetry exists in every regular polygon. When an object is rotated around its centre, it retains its original appearance. The object is then referred regarded as having rotational symmetry.

Let's write the coordinates of the original figure,

A = (1, -5)

B = (6, -2)

C = (6, -5)

D = (1, -8)

Now, if we rotate it 90 degrees counterclockwise, the coordinates are:

A' = ( 5, 1)

B' = (2, 6)

C' = (5, 6)

D' = (8, 1)

Now if we rotate it again 90 degrees counterclockwise, the coordinates are:

A'' = ( -1, 5)

B'' = (-6, 2)

C'' = (-6, 5)

D'' = (-1, 8)

Now from the figure, let's write the coordinates.

A' = ( -1, 5)

B' =  (-6, 2)

C' = (-6, 5)

D' =  (-1, 8)

This is the same as the coordinates of the second 90 degrees counterclockwise rotation.

Since we did two 90 degrees rotations, we can say we did a total of 180° counterclockwise rotation.

Therefore after comparing the image and the figure, we found that the direction and angle of rotation are 180° counterclockwise rotation.

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Answer: 180 degrees counterclockwise rotation.

Answer:

220 lifeguards

Step-by-step explanation:

We have to divide the length of the beach by the interval of the stationed lifeguards.

13.2 / 0.06 = 220 lifeguards

There are 220 lifeguards.

False. Null and alternative hypothesis are not statements about descriptive statistics.

Null and alternative hypothesis are fundamental concepts in hypothesis testing, a statistical method used to make inferences about population parameters based on sample data. These hypothesis are not directly related to descriptive statistics, which involve summarizing and describing data using measures such as mean, median, standard deviation, etc.

The null hypothesis (H0) represents the default or no-difference assumption in hypothesis testing. It states that there is no significant difference or relationship between variables or groups in the population. On the other hand, the alternative hypothesis (H1 or Ha) proposes that there is a significant difference or relationship.

Both null and alternative hypotheses are formulated based on the research question or objective of the study. They are typically stated in terms of population parameters or characteristics, such as means, proportions, correlations, etc. The aim of hypothesis testing is to gather evidence from the sample data to either reject the null hypothesis in favor of the alternative hypothesis or fail to reject the null hypothesis due to insufficient evidence.

Finally, null and alternative hypotheses are not statements about descriptive statistics. Rather, they are statements about population parameters and reflect the purpose of hypothesis testing in making statistical inferences.

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(a) 95% confidence interval for the difference between female and male times is (11.954, 255.591).

(b) The assumptions and conditions for the two-sample t-test are met, so we can use the results of the test and confidence interval.

a) To construct a 95% confidence interval for the difference between female and male times, we can use a two-sample t-test. Let's denote the mean time for female swimmers as μf and the mean time for male swimmers as μm. We want to test the null hypothesis that there is no difference between the two means (i.e., μf - μm = 0) against the alternative hypothesis that there is a difference (i.e., μf - μm ≠ 0).

The formula for the two-sample t-test is:

t = (Xf - Xm - 0) / [sqrt((s^2f / nf) + (s^2m / nm))]

where Xf and Xm are the sample means for female and male swimmers, sf and sm are the sample standard deviations for female and male swimmers, and nf and nm are the sample sizes for female and male swimmers, respectively.

Using the data from the plots, we get:

Xf = 917.5, sf = 348.0137, nf = 15

Xm = 783.7273, sm = 276.0625, nm = 28

Plugging in these values, we get:

t = (917.5 - 783.7273 - 0) / [sqrt((348.0137^2 / 15) + (276.0625^2 / 28))] = 2.4895

Using a t-distribution with (15+28-2) = 41 degrees of freedom and a 95% confidence level, we can look up the critical t-value from a t-table or use a calculator. The critical t-value is approximately 2.021.

The confidence interval for the difference between female and male times is:

(917.5 - 783.7273) ± (2.021)(sqrt((348.0137^2 / 15) + (276.0625^2 / 28)))

= 133.7727 ± 121.8187

= (11.954, 255.591)

Therefore, we can be 95% confident that the true difference between female and male times is between 11.954 and 255.591 minutes.

b) Assumptions and conditions for the two-sample t-test:

Independence, We assume that the observations for each group are independent of each other.

Normality, We assume that the populations from which the samples were drawn are approximately normally distributed. Since the sample sizes are relatively large (15 and 28), we can rely on the central limit theorem to assume normality.

Equal variances, We assume that the population variances for the female and male swimmers are equal. We can test this assumption using the F-test for equality of variances. The test statistic is,

F = s^2f / s^2m

where s^2f and s^2m are the sample variances for female and male swimmers, respectively. If the p-value for the F-test is less than 0.05, we reject the null hypothesis of equal variances. If not, we can assume equal variances. In this case, the F-test yields a p-value of 0.402, so we can assume equal variances.

Sample size, The sample sizes are both greater than 30, so we can assume that the t-distribution is approximately normal.

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6 cm, C. He did not square the length of the given leg

Explanation

to solve this we need to use the Pythagorean theorem

T.P states for all rigth triangles:

then

Step 1

let

a=2.3

b=b

c=6.4

replace

Step 2

What mistake might the student have made?

check

A)He added the two given values

B) He subtracted the two given values

C)He did not square the length of the given leg

D. He did not square the length of the hypotenuse​

so, the answer is C

I hope this helps you

Step-by-step explanation:

The probability of Jack taking 2 red candies is 3/28.

What do you mean by a union in probability?
The letter "U" (union) stands for "or." Specifically, P(AB) represents the probability of that event A or event B occurring. The sample points that are present in both event A and event B must be counted in order to determine P(AUB).

The new probability set made up of all the elements from both sets is created when two sets are joined. When two sets intersect, a new set is created that includes every element from both sets.

Solution Explained:

Given in the question,

A bag contains 3 red and 5 green candies.

Total possibilities is 3 + 5 = 8  

Jack takes a candy at random and eats it  

A/Q there are 3 red candies out of 8, the probability is given by,

P(R) = 3/8

Now there are 2 red candies out of 7, so the probability is given by,

P(R') = 2/7

The probability of both events is given by,

P(2R) = P(R) × P (R') = 3/8 × 2/7 = 3/28

Therefore, the probability of Tim taking 2 red candies is P(2R) = 3/28

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Answer:

208/8=26

Step-by-step explanation:

Each friend would get 26 beads.

The probability that a random sample of 100 bulbs will have an average life of more than 1,870 hours is approximately 14.69%

To find the probability that a random sample of 100 bulbs will have an average life of more than 1,870 hours, we need to use the mean, standard deviation, and sample size provided.

First, we need to find the standard error (SE) for the sample:
SE = (standard deviation) / √(sample size) = 190 / √100 = 19 hours

Next, we need to find the z-score for the given average life (1,870 hours):
z = (sample mean - population mean) / SE = (1870 - 1850) / 19 ≈ 1.05

Finally, we use a z-table to find the probability associated with this z-score. For a z-score of 1.05, the probability is 0.8531, which represents the area to the left of the z-score. However, we need the probability to the right (more than 1,870 hours), so we subtract this value from 1:

Probability = 1 - 0.8531 ≈ 0.1469

Thus, the probability that a random sample of 100 bulbs will have an average life of more than 1,870 hours is approximately 14.69%.

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Answer: The numbers on a distance of 3.2 units from −4 on a number line are -7.2 and - 0.8 .

Step-by-step explanation:

The numbers on a number line are from - infinity to + infinity whose center is at 0.Om left sides of 0 , there are negative integers and on the right side there are positive integers.

So, The numbers on a distance of 3.2 units from −4 on a number line are

-4 - 3.2 and -4+3.2

= - (4+3.2)  and - (4-3.2)

= -7.2 and - 0.8

Hence, the numbers on a distance of 3.2 units from −4 on a number line are -7.2 and - 0.8 .

Answer:

−7.2 and −0.8

Step-by-step explanation:

Have a blessed day

(-4)+12+(-20)

= 12 + (-24)

= -12

Answer:

-12

Step-by-step explanation:

The solution is in the picture ^_^ I hope it helps

According to Dr. Rick Malone, the best source of data for making inferences as to how dangerous persons of interest actually are may be a combination of various sources. These sources could include the person's criminal history, mental health records, and other indicators such as previous acts of violence or threats made towards others.

It is important to gather as much information as possible before making any conclusions about an individual's level of danger.
In addition to these sources, Dr. Malone also emphasizes the importance of utilizing technology and artificial intelligence to aid in the assessment process. This could involve using algorithms to analyze social media activity or other online behavior that may be indicative of potential danger.
It is crucial to approach the process of assessing an individual's level of danger with caution and to recognize that no single factor should be used to make a definitive determination. Rather, a comprehensive approach that takes into account a multitude of factors is necessary in order to accurately assess the potential risk posed by a person of interest. By utilizing a combination of sources and incorporating technological advancements, it is possible to gather a more complete picture of an individual's behavior and make informed decisions about how best to manage any potential threats.

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