When I multiply my number by four and add twenty, I get 4. What is my number?

Answer:

a. 0.6975

b. 0.25

c. The events are independent and inclusive

Step-by-step explanation:

a. The proportion of five-star football recruits in the nation that go to universities in the three most competitive athletic conferences = 75%

Therefore, the probability of a five-star football recruits chooses to go to a university in the three most competitive athletic conferences p(A) = 75% or 0.75

The proportion of the times five-star football recruits get full football scholarships = 93%

Therefore, the probability that a five-star football recruit get full football scholarships p(B) = 93% or 0.93

Therefore, the probability that a randomly selected five-star recruit who chooses one of the best three conferences will be offered a full football scholarship can be written as -the probability that a randomly selected five-star recruit who chooses one of the best three conferences and will be offered a full football scholarship is therefore;

p(A) ∩ p(B) = p(A) × p(B) = 0.75×0.93 = 0.6975

b. The probability that a randomly selected five star recruit will not select a university from one of the three best conferences = 1 - p(A) = 1 - 0.75 = 0.25

c. The events are independent as the given probability of occurrence of one event does not alter the probability of the other event

The events are inclusive events are exclusive events as P(A)and P(B) can take place simultaneously.

Answer:

The last three are all functions.

The first one is not because by defenition of function, an x value cannot have two y values.

The second one is because a function f(x) is the same thing as y

The third one is because x value does not repeat, and that is all that matters.

The fourth one is a function too since x values do not have two y values

Answer: Y= -9 + 3x/2

Step-by-step explanation: Down below Have a brilliant day-Lily ^_^

To find the limit of the given expression as x approaches 0, we can apply l'Hôpital's Rule, which states that if we have an indeterminate form of the type "0/0" or "∞/∞", we can take the derivative of the numerator and denominator until we obtain a determinate form.

Let's apply l'Hôpital's Rule to the given limit:

lim (5e^x - 5 - 5x) / (9x^2) as x approaches 0

Taking the derivative of the numerator and denominator:

lim (5e^x - 5) / (18x)

Now we can directly evaluate the limit by substituting x = 0 into the expression:

(5e^0 - 5) / (18(0))

(5 - 5) / (0)

0/0

We still have an indeterminate form of "0/0". Therefore, we can apply l'Hôpital's Rule again by taking the derivative of the numerator and denominator:

lim (5e^x - 5) / (18x)

lim (5e^x) / 18

Now we can evaluate the limit as x approaches 0:

(5e^0) / 18

(5) / 18

Therefore, the limit of the given expression as x approaches 0 is 5/18.

Learn more about numerator here: brainly.com/question/32515407

#SPJ11

Answer: B. 192

Step-by-step explanation: The area of the square is 170. The area of the triangle is 22.

There are 176,851 ways to store the bikes in four distinct warehouses if the bikes are indistinguishable and the warehouses are distinct.

Let's consider the two scenarios separately:

Scenario 1: Bikes and warehouses are considered distinct.

In this case, each bike and each warehouse is considered distinct. We need to find the number of ways to distribute 100 distinct bikes among 4 distinct warehouses.

To solve this, we can use the concept of stars and bars. Imagine we have 100 stars representing the bikes, and we want to separate them into 4 distinct groups (warehouses) using 3 bars.

The number of ways to distribute the bikes can be calculated as (100 + 3) choose 3:

Number of ways = (100 + 3)C3 = 103C3 = (103 * 102 * 101) / (3 * 2 * 1) = 176,851.

Therefore, there are 176,851 ways to store the bikes in four distinct warehouses if the bikes and warehouses are considered distinct.

Scenario 2: Bikes are indistinguishable, warehouses are distinct.

In this case, the bikes are indistinguishable, but the warehouses are distinct. We need to find the number of ways to distribute 100 identical bikes among 4 distinct warehouses.

This problem can be solved using the concept of stars and bars again. Since the bikes are indistinguishable, the placement of bars doesn't matter.

We can think of it as distributing the 100 bikes into 4 distinct groups (warehouses) using 3 bars. The number of ways to do this can be calculated as (100 + 3) choose 3:

Number of ways = (100 + 3)C3 = 103C3 = (103 * 102 * 101) / (3 * 2 * 1) = 176,851.

Therefore, there are 176,851 ways to store the bikes in four distinct warehouses if the bikes are indistinguishable and the warehouses are distinct.

Learn more about scenarios

brainly.com/question/15367590

#SPJ11

Answer:

0

9

2

5

Step-by-step explanation:

The size of the replacement payment, one year from now, is $3911.60.

To determine the size of the replacement payment, we need to calculate the future values of the two debts and then add them together.

For the first debt of $1900, which was due three months ago, we need to calculate the future value to the focal date of one year from now. Since it is already past due, we need to calculate the future value of the principal plus the interest for nine months (12 months - 3 months). Using the formula for compound interest:

FV1 = P1 * (1 + r1/n1)^(n1*t1)

where P1 is the principal, r1 is the annual interest rate, n1 is the number of compounding periods per year, and t1 is the number of years. Substituting the given values:

FV1 = $1900 * (1 + 0.073/1)^(1*9/12) = $1900 * (1.073)^(0.75) = $1945.65

For the second debt of $1600, borrowed two years ago for a term of five years at 7.3% compounded annually, we need to calculate the future value to the focal date of one year from now. Using the same formula:

FV2 = P2 * (1 + r2/n2)^(n2*t2)

where P2 is the principal, r2 is the annual interest rate, n2 is the number of compounding periods per year, and t2 is the number of years. Substituting the given values:

FV2 = $1600 * (1 + 0.073/1)^(1*4) = $1600 * (1.073)^4 = $1965.95

Finally, we add the future values of both debts:

Replacement payment = FV1 + FV2 = $1945.65 + $1965.95 = $3911.60

Therefore, the size of the replacement payment, one year from now, is $3911.60.

Learn more About payment from the link

https://brainly.com/question/29475683

#SPJ11

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

For more such questions on final cost

https://brainly.com/question/29509552

#SPJ8

Answer:

43721/100000

Step-by-step explanation:

To write 0.43721 as a fraction you have to write 0.43721 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.43721 = 0.43721/1 = 4.3721/10 = 43.721/100 = 437.21/1000 = 4372.1/10000 = 43721/100000

Answer:

43,721/99,999

Step-by-step explanation:

A non-terminating, repeating decimal can be written as a fraction.

How many digits repeat?

If the digits 43721 repeat, and the decimal number is

0.437214372143721..., then we can convert it into a fraction.

Let x = 0.437214372143721...                     Eq. 1

Then 100,000x = 43,721.4372143721...        Eq. 2

Now we subtract Eq. 1 from the Eq. 2.

      100,000x = 43,721.4372143721...

(-)                  x =          0.4372143721...

--------------------------------------------------

       99,999x = 43,721

x = 43,721/99,999

Answer: 43,721/99,999

The standardized value of 15 is -2.00 which is option B.

The standardized value of 15 when the sample mean equals 25 and the sample standard deviation equals 5 is -2.00.

Standardized value, also known as z-score, is a measure of how many standard deviations a data point is from the mean. It is calculated using the formula:

z = (x - μ)/σ

where z is the standardized value, x is the data point, μ is the sample mean, and σ is the sample standard deviation.

In this case, the sample mean (μ) is 25, the sample standard deviation (σ) is 5, and the data point (x) is 15. Plugging these values into the formula, we get:z = (15 - 25)/5z = -10/5z = -2.00

Therefore, when the sample mean equals 25 and the sample standard deviation equals 5, the standardized value of 15 equals -2.00, i.e., option B

To know more about standardized value refer here:

https://brainly.com/question/29035978#

#SPJ11

Answer:

slope is 3/8 y intercept is 6

Answer:

it will take 3 5/8 of gas to fill the tank

Step-by-step explanation:

14 1/2 - 10 7/8 can be re-written using improper fractions

29/2 - 87/8 We need a common denominator, which is 8

116/8 - 87/8 = 29/8 = 3 5/8 gal

The percentage of the questions which of are intermediate​ level are 31 %.

It is given in the question that practice questions for a textbook are marked with difficulty levels of​ easy, intermediate, and difficult.  It is also given that 42 of the 136 practice questions are rated as​ intermediate.

We have to find the percentage of the questions which of are intermediate​ level .

We know that,

Percentage of intermediate questions = (Number of intermediate questions/Total number of questions)*100

Hence, from the data given in the question, we can write,

Percentage of intermediate questions = (42/136)*100 = 30.88 % ≈ 31 %

To learn more about percentage, here:-

https://brainly.com/question/28269290

#SPJ4

Part A

Answer: x = 0

--------------------

Explanation:

Anything to the 0th power exponent is equal to 1, as long as the base isn't 0 itself. So (7^2)^x = (7^2)^0 = 1.

=========================================

Part B

Answer: x = any real number you want

--------------------

Explanation:

The 7^0 evaluates to 1, due to the rule discussed back in part A.

This means (7^0)^x = 1 becomes 1^x = 1. We can replace x with any real number and we would have 1^x always evaluate to 1.

For instance, if x = 3, then 1^x = 1^3 = 1*1*1 = 1. Multiplying out a string of 1's leads to 1 as the final result. We could even have 1^0 and we'd still evaluate to 1.

Answer:

Step-by-step explanation:

Part A: If (7^2)^x = 1, what is the value of x?

Any number (except 0) to the power of 0 gives 1 (Law of Exponents)

And there is no other power that gives 1 if base is not 1

7^2≠1 so x must be 0

Part B: If (7^0)^x = 1,  what are the possible values of x?

7^0 = 1 and 1 to any power always gives 1, so no mater what x we choose we always get 1

Answer:

2.625 powder is needed.

Step-by-step explanation:

14/4= 3.5

3.5*.75= 2.625

Answer: 153.94cm

Step-by-step explanation:

Answer:

A  =  49 cm ²

Step-by-step explanation:

A = πr²

   = 22/7 * 7 *7

      = 49 cm²

3/8 pints of milk will fill an empty mug of the same size.

In this question, we have been given Pia poured 1/4 pint of milk into an empty mug.

The milk filled 2/3 of the mug.

We need to find the pints of milk that will fill an empty mug of the same size.

Let 'm' pints of milk will fill an empty mug of the same size.

From given data, we get proportion.

⇒ (1/4) / (2/3) = m / 1

We simplify above equation to find the value of m.

⇒ (2/3) m = 1/4

⇒ m = (1/4) × (3/2)

⇒ m = 3/8

Therefore, 3/8 pints of milk will fill an empty mug of the same size.

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ1

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

Learn more about merchandise inventory from

https://brainly.com/question/27046371

#SPJ1

A type I error occurs when a researcher mistakenly rejects a true null hypothesis. In other words, it is a false positive result. Let's break down what happens in a type I error:

1. The researcher starts with a null hypothesis, which assumes that there is no significant relationship or effect between the variables being studied.

2. To test the null hypothesis, the researcher collects data and performs statistical analysis.

3. In a type I error, the researcher incorrectly concludes that there is a significant relationship or effect when, in fact, there is none.

4. This error can happen due to various reasons, such as sample size, random chance, or flaws in the experimental design.

To avoid type I errors, researchers typically set a predetermined significance level (often denoted as α) before conducting the study. The significance level represents the probability of making a type I error. By setting a lower significance level, such as α = 0.05, researchers aim to reduce the chances of mistakenly rejecting the null hypothesis.

In the context of the given question, if the researcher is trying to reduce error and avoid a type I error, it means they want to minimize the risk of incorrectly inferring findings to another practice setting. This would increase the confidence that nurses have in applying the research findings to their own work.

To know more about type I error refer here:

https://brainly.com/question/20914617

#SPJ11

Answer:

i think 6(k)^2 ?

Step-by-step explanation:

Answer:

1176 oz of drink

Step-by-step explanation:

112 * 4 = 448

112 * 3 = 336

112 * 2.5 = 280

112 * 1 = 112

The value of x in the intersecting chords is determined as 33⁰.

The value of x is calculated by applying intersecting chord theorem which states that the angle at tangent is half of the arc angle of the two intersecting chords.

From the given diagram, we will have the following equation;

m∠SRU = ¹/₂ ( arc TU - arc SU ) (exterior angle of intersecting secants)

The value of m∠SRU = x

The value of arc TU = 140⁰

The value of arc SU = 74⁰

The value of x is calculated as follows;

x = ¹/₂ (140 - 74)

x = ¹/₂ (66)

x = 33⁰

Thus, the value of x in the given chord is determined as 33⁰.

Learn more about chord angles here: brainly.com/question/23732231

#SPJ1

e) The test statistic and P-value for the chi-square test of homogeneity would be -1.75 and 0.004, respectively.

A chi-square test of homogeneity is a useful tool for comparing two or more categorical variables. In this case, the two variables are smoking (smokers and non-smokers) and alcohol consumption (those who had consumed alcohol in the past week and those who hadn't).

The chi-square statistic is calculated by finding the difference between the observed and expected frequencies of the two groups and squaring it. The expected frequencies are found by multiplying the sample size by the overall probability of success (in this case, drinking alcohol).

The P-value is then calculated based on the chi-square statistic and the degrees of freedom (in this case, one). In this case, the chi-square statistic is -1.75 and the P-value is 0.004.

For more questions like P-value click the link below:

https://brainly.com/question/14790912

#SPJ4

To draw a cubic spline through n data points on the X-Y plane, we need to determine 3n polynomials. (Option D)

A cubic spline is a method of fitting a piece wise-defined curve through a set of data points. The piece wise-defined curve consists of several cubic polynomials joined together at points called knots. The knots are chosen so that the resulting curve is smooth, that is, it has continuous derivatives up to the third order.To draw a cubic spline through n data points on the X-Y plane, we need to determine 3n polynomials.

Each cubic polynomial is defined by four coefficients, so we need to determine 4 x 3n = 12n coefficients. The coefficients are determined by solving a system of equations, which is obtained by imposing continuity and smoothness conditions at the knots. The continuity conditions require that the function values and the first derivatives match at the knots.

The smoothness conditions require that the second derivatives match at the knots. There are n-1 continuity conditions and n-1 smoothness conditions, so there are 2n-2 equations in total. Since each cubic polynomial has four coefficients, we need to determine 4 x 3n = 12n coefficients, which means that we need at least 12n equations. Therefore, we need to impose some additional conditions, which depend on the boundary conditions.

There are three common types of boundary conditions: natural, clamped, and periodic. The natural boundary condition requires that the second derivatives at the endpoints are zero. The clamped boundary condition requires that the first derivatives at the endpoints match the specified values. The periodic boundary condition requires that the function values and the first derivatives match at the endpoints. Depending on the boundary conditions, we need to determine one or two additional equations, which gives us a total of 2n or 2n+1 equations.

To know more about  polynomials refer here:

https://brainly.com/question/11536910

#SPJ11

Answer:

9.9\(cm^{3}\)

Step-by-step explanation:

Formula:

1/3(area of the base x height)

1/3 [2.175(2.175)(6.3)]

1/3(4.730625)(6.3)

1/3(29.8029375)

9.9343125

Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square.  The area of the square, we need to multiply 2.175 by 2.175.

9.9343125 rounded to the nearest tenth is 9.9

Helping in the name of Jesus.

Answer:

1 - 1/3

Step-by-step explanation:

Since 1/2 * 2/3 = 1/3, it should be the case that 1/3 divided by 2/3 gives 1/2 and that 1/3 divided by 1/2 gives 2/3. To divide fractions, we multiply the numerator by the reciprocal of the denominator, where the reciprocal of a number just interchanges the numerator and denominator of the number.

The value of TN for this problem is given as follows:

B. 30.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Then the value of x is obtained as follows:

8(x + 20) = 12 x 20

x + 20 = 12 x 20/8

x + 20 = 30.

x = 10.

Then the length TN is given as follows:

TN = x + 20

TN = 10 + 20

TN = 30.

More can be learned about the chords of a circle at brainly.com/question/16636441

#SPJ1

The equation that represents the relationship between m and n is written as: n = 7m.

A proportional relationship between two variables have a slope of constant of proportionality, k, which is y/x.

The equation that represents a proportional relationship is expressed in slope-intercept form as y = kx.

In this situation m = x, and n = y.

The constant of proportionality, k = n/m.

Find the constant of proportionality, k, using a pair of values from the given table, say (3, 21):

k = 21/3

k = 7

To write the equation, substitute k = 7 into n = km:

n = 7m.

Learn more about the equation of proportional relationship on:

https://brainly.com/question/6869319

#SPJ1

Answer:

I'm assuming that the number is supposed to be 4.32x10‾⁴, so if the new cell has half the diameter, then it's diameter would be 2.16x10‾⁴