Identify all sets to which this number belongs: 6.14

Natural, Whole, Integer, Rational
Whole, Integer, Rational
Integer
Rational
Irrational

which one? please help!

I believe it is a 33% chance.

The Difference in the amounts that Tsion and Ibrahim paid for their watches is £3.85.

To find the difference in the amounts that Tsion and Ibrahim paid for their watches, we need to convert the prices to the same currency. We can use the exchange rates given to convert both prices to pounds.

1 Singapore dollar = £0.58

72 Singapore dollars = 72 x £0.58 = £41.76

1 Hong Kong dollar = £0.09

399 Hong Kong dollars = 399 x £0.095 = £37.91

Therefore, Tsion paid £41.76 for the watch and Ibrahim paid £37.91 for the same model of watch.

To find the difference in the amounts paid, we can subtract the smaller amount from the larger amount:

£41.76 - £37.91 = £3.85

Therefore, the difference in the amounts that Tsion and Ibrahim paid for their watches is £3.85.

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Answer:

He payed $643.50 for the bike

Step-by-step explanation:

Because $585 + 10% = $643.50

(Sorry if wrong!)

Answer:

he paid $643.5 for it originally

585 x .1 = 58.5

585+58.5= 643.5

hope this helps

Step-by-step explanation:

Answer:

84 is your answer

Step-by-step explanation:

please mark me the brainlist

Answer:

84

Step-by-step explanation:

\(\frac{1}{2}*24*7 =\) 12 * 7 = 84

Answer: 23/45 or 0.51 rounded to the nearest hundredth

Step-by-step explanation:

4 1/9 can be written as 37/9, and 3 3/5 can be written as 18/5.

37/9-18/5 = (185/45) - (162/45) = 23/45 or 0.51

Complete question :

It is estimated 28% of all adults in United States invest in stocks and that 85% of U.S. adults have investments in fixed income instruments (savings accounts, bonds, etc.). It is also estimated that 26% of U.S. adults have investments in both stocks and fixed income instruments. (a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places. (b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

Answer:

0.929 ; 0.306

Step-by-step explanation:

Using the information:

P(stock) = P(s) = 28% = 0.28

P(fixed income) = P(f) = 0.85

P(stock and fixed income) = p(SnF) = 26%

a) What is the probability that a randomly chosen stock investor also invests in fixed income instruments? Round your answer to decimal places.

P(F|S) = p(FnS) / p(s)

= 0.26 / 0.28

= 0.9285

= 0.929

(b) What is the probability that a randomly chosen U.S. adult invests in stocks, given that s/he invests in fixed income instruments?

P(s|f) = p(SnF) / p(f)

P(S|F) = 0.26 / 0.85 = 0.3058823

P(S¦F) = 0.306 (to 3 decimal places)

Answer:

12 m²

Step-by-step explanation:

Let the perimeter of the rectangle be known as P, width of the rectangle be known as W, and the length of the rectangle be known as L.

Given Information:

We know that the perimeter is the sum of the boundaries of the rectangle. Therefore, the perimeter is equivalent to twice the sum of L and W.

Substitute the given variables into the perimeter equation;

Then, solve for the width of the rectangle;

Finally, solve for the area of the rectangle;

Therefore, the area of the rectangle is 12 m² (A)

Answer:

(9^3)^6

Step-by-step explanation:

This is an equivilant expression. Hope this helps!

Answer:             5

Step-by-step explanation: because

Answer:

7. y=x-2, 8. y=3/2x+4, 9.  y=-3/4x+8, 10. y=2x-7, 11. y=-5x-3, 12. y=4x-5,             13. y=-3x-1, 14. y=-1/2x+1, 15. y=3/2x+4

Step-by-step explanation:

First you have to plug in the points into y2-y1/x2-x1. This would make it      -2-0/0+1. Simplify this to get -2/1 which is -2. This makes the slope -2. Then plug in the slope into point intercept form y-y1=m(x-x1) where m is the slope. This time, I will use the point (0,-2). Therefore, the equation will be y+2=1(x-0) which is equal to y+2 =x-0 which is equal to y=x-2.

This is how you do all of the problems. For problem 13-15, you know that f(0)=-1 is (0,-1) and f(3)=-10 is (3,-10). Then you can solve the problems. I will not explain every single problem but will give you the answers.

Answer:

2(t-4)+1

2t-8+1

2t-7

The correct expression that represents the standard deviation of typical human body temperature in degrees Fahrenheit (F) is 9/5(0.4) + 32.

The expression 9/5(0.4) + 32 represents the conversion from Celsius to Fahrenheit using the formula F = (9/5)C + 32, where C represents the standard deviation in degrees Celsius.

The first term, 9/5(0.4), corresponds to the conversion factor from Celsius to Fahrenheit, where 9/5 is the ratio of the temperature scales and 0.4 represents the standard deviation in Celsius. Multiplying 0.4 by 9/5 gives the equivalent value in Fahrenheit. The second term, 32, is the offset needed to convert the temperature scales, as Fahrenheit starts at 32 degrees while Celsius starts at 0 degrees.

By substituting the given standard deviation of 0.4 into the expression, we can calculate the standard deviation of typical human body temperature in degrees Fahrenheit. Therefore, the correct answer is 9/5(0.4) + 32, which represents the standard deviation of typical human body temperature in degrees Fahrenheit.

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Answer:

213mi^2

Step-by-step explanation:

Answer:

y = 15x

Step-by-step explanation:

Given x and y are in direct variation then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 2, y = 30, then

30 = 2k ( divide both sides by 2 )

15 = k

y = 15x ← equation of variation

Answer:

d.)

Plot these inequalities:

Graphed below (shaded yellow region):

where all the inequalities meet or touches each other.

Answer:

Here is what I got hope it helps!!!!!!!

Step-by-step explanation:

Equivalent expressions are expressions with the same value.

The proper way to rewrite the equation is: \(\mathbf{(x + y)^2 = x^2 + 2xy + y^2 }\)

Jonah's equation is given as:

\(\mathbf{(x + y)^2 = x^2 + y^2}\)

To convince Jonah that Jonah's equation is wrong, Graham can do any of the following

Assume value for x and y

Let x = 2 and y = 4

\(\mathbf{(2 + 4)^2 = 2^2 + 4^2}\)

\(\mathbf{36 = 20}\)

The above equation is false.

So, it means that: \(\mathbf{(x + y)^2 \ne x^2 + y^2}\)

Expand the equation

We have:

\(\mathbf{(x + y)^2 = x^2 + y^2}\)

Open the bracket

\(\mathbf{x^2 + 2xy + y^2 = x^2 + y^2}\)

Cancel out common terms

\(\mathbf{2xy = 0}\)

The above equation is false.

So, it means that: \(\mathbf{(x + y)^2 \ne x^2 + y^2}\)

The proper way to rewrite the equation is:

\(\mathbf{(x + y)^2 = x^2 + 2xy + y^2 }\)

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Answer:

subtract 3 from both sides... what you do on one side you must do on the other. 3 -3 cancels each other out and 11-3=8 giving you 4x=8

servings = 6

molds = 113

package = 8

servings make = 113÷6=18.83

Answer:

y = -2x - 3

Step-by-step explanation:

-solve for y: y = 1/2x + 2

-perpendicular equals opposite slope: -2

-plug in the point: (1) = -2(-2) + b

                               1 = 4 + b

                                b = -3

put it all together: y = -2x - 3

The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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The “yearly tuition costs” as an independent variable which should be plotted on X-axis and “mid-career salary” as a dependent variable on Y-axis. The scatterplot is made of them.

Based on the table provided, it is possible to observe that there is not necessarily a clear relationship between the cost of tuition and mid-career salary.

While some of the colleges with higher tuition costs (such as MIT and Stanford) have high mid-career salaries, others (such as Harvey Mudd and Caltech) also have high mid-career salaries despite lower tuition costs. Additionally, some colleges with low or zero tuition costs (such as the US Naval Academy and West Point) also have high mid-career salaries.

Therefore, it is not safe to assume that a higher cost of tuition will necessarily translate into higher-paying jobs. The scatter plot of yearly tuition costs and mid-career salary is made.

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Using the formula for the equation of a circle and substituting the center and a point on the circle, we found that the equation of the circle with center (-5, 3) and containing the point (-1, 0) is (x + 5)^2 + (y - 3)^2 = 25.

The equation of a circle with center (h, k) and radius r is given by the formula:

\((x - h)^2 + (y - k)^2 = r^2\)

In this case, the center of the circle is (-5, 3) and the circle contains the point (-1, 0). Let's denote the radius of the circle as r. We can substitute the values into the equation and solve for r.

\((-1 - (-5))^2 + (0 - 3)^2 = r^2\)

\((4)^2 + (-3)^2 = r^2\)

\(16 + 9 = r^2\)

\(25 = r^2\)

Taking the square root of both sides, we get:

r = ± 5

So the radius of the circle is 5. Substituting the values of the center and radius into the equation, we have:

\((x - (-5))^2 + (y - 3)^2 = 5^2\)

\((x + 5)^2 + (y - 3)^2 = 25\)

Therefore, the equation of the circle with center (-5, 3) and containing the point (-1, 0) is\((x + 5)^2 + (y - 3)^2\)= 25.

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The conditional probability values are 0.57 and 0.43

Missing information

              Has Eaten before   Have not           Total

Snack A     144                               108                252

Snack B      92                               228                320

Total          236                              336                572

Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person.

Given a person who has eaten snack A before, the customer will want to eat snack A

Given a person who has not eaten snack A before, the customer will want to eat snack

How to determine the probabilities?

The required probabilities are conditional probabilities, and they are calculated using:

P(A | B) = P(A and B)/P(B)

Using the above formula, we have:

The probability that a customer eats snack A given that the customer has eaten snack A before, to be:

P = n(Have eaten snack A)/n(Snack A)

This gives

P = 144/252

Evaluate

P = 0.57

Also, we have:

The probability that a customer eats snack A given that the customer has not eaten snack A before, to be:

P = n(Have not eaten snack A)/n(Snack A)

This gives

P = 108/252

Evaluate

P = 0.43

Hence, the probabilities are 0.57 and 0.43

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The probability of the mean height of the sample of boys being at least 6 cm higher than the mean height of the sample of girls can be calculated using a two-sample t-test. The t-test compares the means of two samples and determines whether they are different from one another. The t-test requires the assumption of equal variances and normal distribution of the data.

What does the math term "probability" mean?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Given that the variances are equal, the t-test statistic can be calculated as:

t = (mean_boys - mean_girls - 6) / (sqrt(variance/n))

where n is the sample size of each group (8 in this case).

The probability of observing a t-value as extreme or more extreme than this value can be calculated using the cumulative distribution function (CDF) of a t-distribution with n1 + n2 - 2 degrees of freedom.

Because you are looking for the probability that the mean height of the sample of boys is at least 6cm higher than the mean height of the sample of girls, this is a one-tailed test. The probability of a one-tailed test can be calculated by subtracting the probability of a two-tailed test from 1.

The probability can be calculated using a t-distribution table with 14 d.f. or using software such as R or excel.

It is important to note that the sample size is very small, with 8 boys and 8 girls, which may not be representative of the population. As sample size increases the probability of getting a significant difference increases.

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The actual distance between the two cities is given as follows:

204 miles.

The actual distance between the two cities is obtained applying the proportions in the context of the problem.

The scale factor is given as follows:

1/4 inch = 17 miles.

Hence:

1 inch = 17 x 4 = 68 miles.

The drawn distance is given as follows:

3 inches.

Hence the actual distance is given as follows:

3 x 68 = 204 miles.

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a) To determine if the treatment has a significant effect, we can perform a hypothesis test using the sample mean. The null hypothesis (H0) states that the treatment has no effect, while the alternative hypothesis (H1) states that the treatment does have an effect. In this case, we are conducting a two-tailed test with α = 0.05, meaning we are looking for extreme values in both tails of the distribution.

b) Using the same approach as in part a, we can calculate the z-score with a population standard deviation of σ = 12. Given M = 54, μ = 50, σ = 12, and n = 16, the z-score is calculated as z = (54 - 50) / (12 / √16) = 1.

To perform the test, we can calculate the z-score using the formula: z = (M - μ) / (σ / √n), where M is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size. In this case, M = 54, μ = 50, σ = 8, and n = 16.

Plugging these values into the formula, we get z = (54 - 50) / (8 / √16) = 2. Using a z-table or a statistical calculator, we find that the critical z-value for a two-tailed test with α = 0.05 is approximately ±1.96.

Since our calculated z-value of 2 is greater than the critical value of 1.96, we reject the null hypothesis. This means that the sample mean of 54 is statistically significant and provides evidence that the treatment has a significant effect.

Comparing the calculated z-value of 1 to the critical z-value of 1.96, we see that the calculated value is less than the critical value. Therefore, we fail to reject the null hypothesis.

In other words, the sample mean of 54 is not statistically significant when the population standard deviation is 12, and we do not have sufficient evidence to conclude that the treatment has a significant effect.

The magnitude of the standard deviation (σ) plays a crucial role in hypothesis testing. A larger standard deviation indicates that the data points are more spread out from the mean, resulting in a wider distribution. As a result, it becomes more challenging to detect a significant effect of the treatment, as the variability in the data increases. This is evident when comparing parts a and b of the question.

In part a, where the population standard deviation is σ = 8, the calculated z-value of 2 exceeds the critical value of 1.96. This indicates that the sample mean of 54 is statistically significant, suggesting a significant effect of the treatment.

On the other hand, in part b, where the population standard deviation is larger at σ = 12, the calculated z-value of 1 is smaller than the critical value.

Consequently, we fail to reject the null hypothesis, implying that the sample mean of 54 is not statistically significant, and we cannot conclude that the treatment has a significant effect.

Thus, a larger standard deviation reduces the ability to detect a  significant effect in a hypothesis test.

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