Tom wants to have $50,000 saved sometime in the future. How much must he deposit every month into an account that pays 1.45% interest, compounded monthly to reach the goal in 5 years?

Susie needs to select minimum 14 to be sure to get 6 marbles of the same color.

With replacement

(3R, 7G, 10B)

P(at least 1 red marble) = 1- p(no red marbles) = 0.5563

P(2R, 2G, 2B) = 0.0827

P(4B, 4G) = 0.0657

Without replacement

P(at least 1 red marble) = 1- p(no red marbles) = 0.6009

P(2R, 2G, 2B) = 0.0731

P(4B, 4G) = 0.0583

if we select 3+5+5=13 marbles then there is only one way that we won't have at least 6 marbles of the same color when 3R, 5G and 5B are selected, so to get 6 marbles of the same color, we need to select minimum 14, then we will be 100% sure.

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The probability of finding seven or fewer defective units in a sample of 100 units, given an average defect rate of 5%, is approximately 94.68%.

In probability theory, we can use the binomial distribution to calculate the probability of a certain number of successes (defective units) in a fixed number of trials (sample size), given a known probability of success (defect rate). In this case, we have a defect rate of 5% (or 0.05) and a sample size of 100.

To find the probability, we need to sum up the individual probabilities of encountering zero, one, two, three, four, five, six, and seven defective units. This can be calculated using the binomial probability formula or by using statistical software/tools.

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Answer:

84

Step-by-step explanation:

x= 4

21x = 21 (4) = 84

I hop im right!!

Answer:.....

Step-by-step explanation:

Answer:

Explanation:

(-6 + 3i) + (6 + 4i)

-6 + 6 = 0

3i + 4i = 7i

The indefinite integral of x^11 sin(3x^(13/2)) dx is -(2/13) * \(x^11 * cos(3x^(13/2)) / (9x^3) + (16/271) * sin(3x^(13/2)) + C\), where C is the constant of integration.

Substituting these into the integral, we get: integral of x^11 sin(3x^(13/2)) dx

= integral of sin(u) * x^11 * (2/39)u^(-9/13) du

= (2/39) integral of sin(u) * x^11 * u^(-9/13) du

Next, we can use integration by parts with u = x^11 and dv = sin(u) * u^(-9/13) du. Solving for dv, we get:

dv = sin(u) * u^(-9/13) du

= (1/u^(4/13)) * sin(u) du

Solving for v using integration, we get:

v = -cos(u) * u^(-4/13)

Now we can apply integration by parts:

integral of sin(u) * x^11 * u^(-9/13) du

= -x^11 * cos(u) * u^(-4/13) - integral of (-4/13) * x^11 * cos(u) * u^(-17/13) du

Substituting back u = 3x^(13/2) and simplifying, we get:

integral of x^11 sin(3x^(13/2)) dx

= -(2/39) * x^11 * cos(3x^(13/2)) * (3x^(13/2))^(-4/13) - (8/507) * integral of x^11 cos(3x^(13/2)) * x^(-3/13) dx + C

Simplifying further, we get:

integral of x^11 sin(3x^(13/2)) dx

= -(2/13) * x^11 * cos(3x^(13/2)) / (9x^3) - (8/507) * integral of x^(-28/13) cos(3x^(13/2)) dx + C

Finally, we can evaluate the last integral using the same substitution as before, and we get:

integral of x^11 sin(3x^(13/2)) dx

= -(2/13) * x^11 * cos(3x^(13/2)) / (9x^3) + (16/271) * sin(3x^(13/2)) + C

Therefore, the indefinite integral of x^11 sin(3x^(13/2)) dx is -(2/13) * x^11 * cos(3x^(13/2)) / (9x^3) + (16/271) * sin(3x^(13/2)) + C, where C is the constant of integration.

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In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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Between 21.7% and 30.7%

Explanation: To find the population percentage of yellow peas, we can use the formula for confidence interval:
Sample proportion +/- Z-score (standard error)
First, let's find the sample proportion of yellow peas:
Sample proportion (p-hat) = x/n = 152/580 = 0.2621
Next, we need to find the Z-score for a 99% confidence level. Using a Z-score table or calculator, we find that the Z-score is 2.576.
To find the standard error, we use the formula:
Standard error = sqrt(p-hat(1-p-hat)/n)
Standard error = sqrt(0.2621(1-0.2621)/580) = 0.022
Now, we can plug in the values into the formula for confidence interval:
0.2621 +/- 2.576(0.022)
The lower bound is 0.217 and the upper bound is 0.307.
Therefore, we can say with 99% confidence that the population percentage of yellow peas is between 21.7% and 30.7%.

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Answer:

y=-2x-13

Step-by-step explanation:

y=mx+b

3=-2(-8)+b

3=16+b

3-16=b

-13=b

We can solve a common base exponential equation of the form:

With the one-to-one property to get:

(a) In this case, we can take 4 as the common base, to get:

For f(x), we can use a linear equation of the form mx + b like 6x + 9, and for g(x) we can make it equal to -x² (we can use whatever equation we want because we are creating the complex exponential equation), then we get:

Since we have common bases, by means of the one-to-one property, we rewrite the above equation to get:

Simplifying and factoring:

6x + 9 + x² = x² - x²

6x + 9 + x² = 0

(x + 3)² = 0

Then, the solution to this equation is -3

(b) Similarly, taking logarithms on both side we get:

By dividing both sides by Log(4), we get:

As you can see, we got the same equation as in part (a), then the solution will be the same and it is x = -3

Answer:

too blurry pls send new pic

Step-by-step explanation:

Answer: 16 weeks rounded up.

Step-by-step explanation: If you have to pay for half of the trip. And you make $7.35/hr. And you work 16 hours per week.

$3692/2 = $1846

$1846/$7.35 per hour = 251.16 hours

251.16 hours/16 hours per week = 15.6975 weeks

aaaaaaaawwaaaaaaaaaaaaaaaa

The real zeros of the polynomial function P(x) = x⁵ − 50x³ + 49x are -1, 0, and 1.

To find the zeros of this function, we can factor it by first factoring out an x to get P(x) = x(x⁴ − 50x² + 49). Then, we can factor the quadratic expression inside the parentheses using the difference of squares formula, which gives us P(x) = x(x² − 1)(x² − 49). Simplifying further, we have P(x) = x(x − 1)(x + 1)(x - 7)(x + 7).

Therefore, the zeros of P(x) are the values of x that make each factor equal to zero. This gives us x = -7, -1, 0, 1, and 7. Since all of these values are real, we conclude that the number of real zeros of P(x) is 5.

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Answer:

11

Step-by-step explanation:

I divided 66 by 6.5 and got 10.153846153846153846153846153846 then I just rounded it to 11.  I actually went based off of radius and height. Hope this helps:)

The height of the cone is 11.

Since She figured that the scoop should hold approximately 66 in3 of liquid. The diameter of her cone is 6.5 in.

So for determining the height we simply divided the 66 by the diameter

So,

\(= 66\div 6.5\)

= 11

Therefore, we can conclude that The height of the cone is 11.

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Answer:

C = 30.8

Step-by-step explanation:

Circumference of a Circle:

C = 2πr

C = 2(3.14)(4.9)

C = 30.772

C = 30.8

Answer:

5. x = 8

8. x = 52

9. a) x/300 = 7/15

9. b) 140

Step-by-step explanation:

To find the exact difference, we have to subtract the two decimal points.

1. First, we'll subtract the whole number. Then, we'll subtract the decimal number. This will make mental math easier.

a. 7 - 3 = 4

b. 8 - 2 = 6

2. Add the answers together to get your final answer.

a. = 4.6

The exact distance between the two points is 4.6. If you can't figure this strategy out, do algorithm. The simplist way to solve this is to use a calculator, which I checked my answer on. Have a nice day! :)

Answer:

✓120=10.95

Step-by-step explanation:

Finding the square root of a number is the inverse operation of squaring that number. Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers. The square root of a number, n, written below is the number that gives n when multiplied by itself.

Answer:

whats that whos he

Step-by-step explanation:

This statement is not always true. It's only true if f(x) and g(x) are both non-decreasing functions.

If f(x) and g(x) are non-decreasing functions, the inequality f(x) ≥ g(x) for a < x < b holds, meaning that the values of f(x) are always greater than or equal to the values of g(x) for x within the interval [a,b]. Since the derivative of a non-decreasing function is non-negative, it follows that f'(x) ≥ 0 and g'(x) ≥ 0 for all x in the interval [a,b], which implies f '(x) ≥ g'(x) for a < x < b.

However, if f(x) and g(x) are not non-decreasing functions, this statement is not true. The inequality f(x) ≥ g(x) for a < x < b does not necessarily imply that the derivatives f '(x) and g'(x) will also be greater than or equal for all x in the interval [a,b].

Therefore, This statement is not always true. It's only true if f(x) and g(x) are both non-decreasing functions.

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The correct answers for this large university offering STEM are:

(A) To find the probability that a woman selected will not meet the age requirement, we add up the probabilities of her being 17, 18, or 19 years old:

(B) To find the probability that at least 30% of the women in the sample will not meet the age requirement, we can use the binomial distribution formula to find the probability that 0, 1, 2, ..., 30 women in the sample will not meet the age requirement, and then subtract this from 1 to get the complement:

Where:

(C) To compare the likelihood of a woman who does not meet the age requirement being selected in a stratified random sample versus a simple random sample, we need to find the probability of her being selected in each scenario.

In the stratified random sample, 30 women are selected from the group of women who do not meet the age requirement, and 70 are selected from the group who do meet the age requirement. So, the probability of a woman who does not meet the age requirement being selected in this scenario is:

In a simple random sample, a woman has a 0.223 probability of being selected if she does not meet the age requirement and a 0.777 probability of being selected if she does meet the age requirement. So, the probability of a woman who does not meet the age requirement being selected in this scenario is:

Since the probability of a woman being selected in the stratified random sample is greater than the probability of her being selected in a simple random sample, we can conclude that she is more likely to be selected in a stratified random sample.

This question should be provided as:

A large university offers STEM (science, technology, engineering, and mathematics) internships to women in STEM majors at the university. A woman must be 20 years or older to meet the age requirement for the internships. The table shows the probability distribution of the ages of the women in STEM majors at the university.

The university will select a sample of 100 women in STEM majors to participate in a focus group about the internships.

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Answer:

C. \(\frac{4}{5}\)

Step-by-step explanation:

In order to find the slope knowing two points, use the slope formula \(\frac{y_2 - y_1}{x_2-x_1}\). \(x_1\) and \(y_1\) represent the x and y values of one point the line intersects, and \(x_2\) and \(y_2\) represent the x and y values of another point the line intersects.

Knowing this, use the points (-4, -4) and (6, 4) for the formula. Substitute -4 for \(x_1\), -4 for \(y_1\), 6 for \(x_2\), and 4 for \(y_2\). Then, simplify:

\(\frac{(4) - (-4)}{(6) - (-4)} \\= \frac{4+4}{6+4} \\= \frac{8}{10} \\= \frac{4}{5}\)

Thus, \(\frac{4}{5}\) is the slope of the line.

The standard form quadratic equation with the supplied roots 2 and 7 is x²-9x+14.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

So the roots are 2,7

So the equation is

(x-2)(x-7)

=x²-2x-7x+14

=x²-9x+14

The quadratic equation in standard form with the given roots 2 and 7 is x²-9x+14.

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Answer:

A. Distributive Property

Step-by-step explanation:

The 2 is being distributed to the 5 and the 9.

Answer:

Distributive Property

Step-by-step explanation:

You are distributing 2➡️(5+9)

Answer:

the answer is 60 + 5x > 350

Answer:

\(a=\sqrt{55}\) or \(7.146\)

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

Answer:

x= 55

y=125

Step-by-step explanation:

y = 180 - 55

hope it's correct

Answer:

first answer

Step-by-step explanation:

Hi, this is correct because repeating decimals are rational numbers.

Rational numbers can be written by a fraction of integers.

If there is a pattern, it means that this is the division of two integers.

hope this helps

Answer:

yes

Step-by-step explanation:

-2x-12=-x^2 in standard form is x^2-2x-12=0

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