What is the value of x?

What Is The Value Of X?

Answers

Answer 1

Answer:

x=22.5

Step-by-step explanation:

BM||DT

Using Intercept theorem/Intercept theorem

[tex]\frac{6}{6+15} =\frac{9}{9+x}[/tex]

6(9+x)=9*21

54+6x=189

6x=135

x=22.5

At least I think so


Related Questions

Which statement is the correct interpretation of the confidence interval in this illustration? The probability the true mean is between 76.08 and 83.92 is 0.95 or 95%. We are 95% confident that the true mean is between 76.08 and 83.92.

Answers

Answer:

We are 95% confident that the true mean lies between 76.08 and 83.92.

Step-by-step explanation:

The confidence interval approach is used to calculate an interval in which the true population mean exists. The confidence level 1-α associated with confidence interval depicts that how confident we are that the population mean lies in the estimated interval. In the problem that confidence level is 95%, so we are 95% confident that the true mean lies between 76.08 and 83.92.

Imagine that the interest rate on your savings account was 1% per year and inflation was 2% per year. After 1 year, how much would you be able to buy with the money in this account?
a. More than today
b. Exactly the same
c. Less than today
d. I do not know

Answers

Answer:

C Less than today

Step-by-step explanation:

If i save $100 at 1% per annum after 1 year I will get $101, but with inflation rate of 2%per annum a commodity that is worth $100 now will be worth $102 after 1 year so u can't buy same commodity I can buy today after 1 year even when my money has increase.

Final answer:

The purchasing power of money in a savings account would decrease after 1 year due to inflation.

Explanation:

To calculate how much you would be able to buy after 1 year, we need to consider the effect of both the interest rate and inflation. With an interest rate of 1% per year, your savings account would increase by 1% over 1 year. However, with an inflation rate of 2% per year, the price of goods and services would also increase by 2% over the same period.

This means that the purchasing power of your money would decrease. To calculate the actual increase or decrease in purchasing power, you can subtract the inflation rate from the interest rate. In this case, 1% - 2% = -1%.

Therefore, the correct answer is c. Less than today. After 1 year, you would be able to buy less with the money in your savings account.

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220-450÷3 to the 2nd power=​

Answers

You start off by looking at which operation to do first. According to PMDAS (parentheses, multiplication, division, adding, and subtracting) you would do division first so

220-450/3
220-150
Then you complete the rest
220-150=70
Hopefully this helps! :)

Answer:

70

Step-by-step explanation:

220-150=70

Kevin invested $8,000 for one year at a simple annual interest rate of 6 percent and invested $10,000 for one year at an annual interest rate of 8 percent compounded semiannually. What is the total amount of interest that Kevin earned on the two investments?A. $880
B. $1,088
C. $1,253
D. $1,280
E. $1,296

Answers

Answer:

Total interest =$1296

Step-by-step explanation:

Kevin invested $8,000 for one year at a simple annual interest rate of 6 percent

Simple interest = [tex]\frac{Pnr}{100}[/tex]

P=8000, n=1 year  and r=6

interest = [tex]\frac{8000(1)(6)}{100}[/tex]

Interest = 480  dollars

[tex]compound \ interest =P(1+\frac{r}{n} )^{nt}-p[/tex]

P= 10000, t=1, r=8%=0.08, n=2 for semiannually

[tex]compound \ interest =10000(1+\frac{0.08}{2} )^{2(1)}-10000[/tex]

Interest = 10816- 10000=816

Total interest = [tex]480+816=1296[/tex]

A wheel on carmen's bike is 1.1 m in diameter. Carmen races the bicycle for 93m. How many times dose the wheel turn as the bicycle travels this distance

Answers

93÷1.1= 84.545454545

Answer:approximately 30 times

Step-by-step explanation:

The wheel on Carmen's bike circular in shape and has a diameter of 1.1 meter.

Radius = diameter/2 = 1.1/2 = 0.55 meter.

When the wheel completes one revolution, the distance covered is equal to the circumference of the wheel.

The formula for determining the circumference of the wheel is expressed as

Circumference = 2πr

Where π is a constant whose value is 3.14

Circumference = 2 × 3.14 × 0.55 = 3.454 metres.

Carmen races the bicycle for 93m. Therefore, the number of times that the wheel of the bicycle turns as it travels this distance would be

93 / 3.454 = 26.9 times

Three red balls, 4 white balls, and 1 green ball are in a bag. A ball is drawn without replacement. What is the probability that 3 balls can be drawn without drawing the green ball?

Answers

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Three red balls, 4 white balls, and 1 green ball are in a bag. A ball is drawn without replacement.

total balls = 3 red + 4 white + 1 green = 8 balls

the number of balls that are not green is 7

pick 3 balls from 7 balls that are not green

[tex]nCr= \frac{n!}{r!(n-r)!}[/tex]

[tex]P(not \ green)=\frac{7C3}{8C3}[/tex]

[tex]7C3= \frac{7!}{3!(7-3)!}=35[/tex]

[tex]8C3= \frac{8!}{3!(8-3)!} =56[/tex]

[tex]P(3 \ balls \ drawn)=\frac{35}{56} =\frac{5}{8}[/tex]

What is (-7)^3 / (-7)^4 simplified? Can you walk me through the steps?

Answers

Answer:

(-7)∧-1

Step-by-step explanation:

(-7)^3 / (-7)^4  

taking each and simplifing it

-7³ = -7 x -7 x -7

(-7)∧4 = -7 x -7 x -7 x -7

(-7)^3 / (-7)^4  = (-7 x -7 x -7 ) / ( -7 x -7 x -7 x -7) = 1/-7

1/-7 ( 1/ means raise to power -1)

1/-7 = (-7)∧-1

Jacob and Ali want to run from one corner of a football field to the opposite corner. The rectangular football field is 50 yards wide and 120 yards long. Jacob runs around the perimeter of the field, while Ali runs in a straight line through the middle of the field. How many more yards does Jacob run than Ali?

Answers

Answer:

Jacob ran 40 yards more than Ali.

Step-by-step explanation:

Football field is in the shape of a rectangle having dimensions 120 yards × 50 yards

Since Jacob runs around the perimeter of the field from one corner to other corner, therefore, distance run by Jacob = [tex](\text{Length+width})[/tex]

Distance run by Jacob = 50 + 120 = 170 yards

Ali runs through the middle of the field diagonally on a straight line.

Therefore, distance covered by Ali = [tex]\sqrt{\text{length}^{2}+\text{width}^{2}}[/tex]

= [tex]\sqrt{(50)^{2}+(120)^{2}}[/tex]

= [tex]\sqrt{2500+14400}[/tex]

= [tex]\sqrt{16900}[/tex]

= 130 yards

Now difference between the distance covered by Jacob and Ali

= 170 - 130

= 40 yards

Therefore, Jacob ran 40 yards more than Ali.

Part A: In what way is the algorithmic process the same for integers and polynomials?


Part B: In what way is the algorithmic process different for integers and polynomials?


Select one answer for Part A and one answer for Part B.
A: Polynomial long division and integer division are not the same at all.

A: When using polynomial long division, the same process of divide, multiply, and bring down applies, just like when dividing integers.

A: When using polynomial long division, the multiply, subtract, and bring down portion applies just like when dividing integers.

B: When using polynomial long division, polynomial terms are added, not subtracted like in integer division.

A: When using polynomial long division, the same process of divide, multiply, subtract, bring down applies, just like when dividing integers.

B: Polynomial long division uses powers of variables instead of place values used when dividing integers, and only the first term of the divisor is considered in the divide step.

B: Polynomial long division treats remainders differently than they are treated in integer long division.

B: Polynomial long division and integer division are completely the same.

Answers

Answer:

  A: When using polynomial long division, the multiply, subtract, and bring down portion applies just like when dividing integers

  B: Polynomial long division uses powers of variables instead of place values used when dividing integers, and only the first term of the divisor is considered in the divide step

Step-by-step explanation:

The above answers are pretty self-explanatory.

I find polynomial division easier, because the "trial division" step uses only the highest-degree terms, so always gives the exact result you need for the quotient. (There's no "guess and check" as with integer long division.) Powers of the variable take the place of powers of 10 (or whatever number base you're using) in integer long division.

__

For integer long division, the steps are ...

Divide the leading portion of the dividend by the divisor to determine the quotient digit.Multiply the divisor by the quotient digit and subtract the result from the dividend, paying attention to place value. If the quotient digit is too large (the difference is negative), choose a smaller value and repeat.Append the next succeeding digit of the dividend to the difference from the above step to form the new dividend and repeat from the first step until the desired quotient precision is achieved.If all given digits of the dividend have been exhausted, append zero to form the new dividend.Any remainder can be expressed as a fraction with the divisor as its denominator. (That fraction is added to the rest of the quotient.)

For polynomial long division, the steps are similar.

Divide the highest degree term of the dividend by the highest-degree term of the divisor to form the next term of the quotient.Multiply the quotient term just found by the divisor and subtract the result from the dividend to obtain the new dividend.Repeat from the first step until the degree of the dividend is less than that of the divisor. If this remainder is non-zero, it can be expressed as a fraction with the divisor as its denominator. (That fraction is added to the rest of the quotient.)

_____

Examples of each are shown in the attachments.

What is the 4-day SMA for the following closing prices: $56, $61, $50, $57, $60, $58, and $57.
Group of answer choices

$56, $61, $50, $57

$56, $57, $56.25

Answers

Answer:

In order to find the correct answer you must use finances and use algebraic equations . You may also have to use precalculus. There is a group of answer choices, its really difficult to find the answer without more instructions. I don't understand what answer your looking for. You may be able to find the answer using finances and other detailed measures. Try using graph paper and write down finances I'm trying my best to help you.

Step-by-step explanation:

finances                                                                                                                     Algebra                                                                                                                       Precalculus

$56, $57, $56.25 is the 4-day SMA for the following closing prices: $56, $61, $50, $57, $60, $58, and $57

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To calculate the 4-day SMA (Simple Moving Average)

We need to add up the closing prices for the last 4 days and divide the sum by 4.

We then move the window one day forward and repeat the process.

Using the given closing prices, we can calculate the 4-day SMA as follows:

Day 1: (56 + 61 + 50 + 57) / 4 = 56

Day 2: (61 + 50 + 57 + 60) / 4 = 57

Day 3: (50 + 57 + 60 + 58) / 4 = 56.25

Day 4: (57 + 60 + 58 + 57) / 4 = 58

The 4-day SMA for the given closing prices is: $56, $57, $56.25, $58.

Hence,  $56, $57, $56.25 is the 4-day SMA for the following closing prices: $56, $61, $50, $57, $60, $58, and $57.

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Daisy is going 12 mph and Sally is going 8 mph if they where 60 miles apart how many hours would it take for them to meet up

Answers

Answer:

3 hours

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s ----> the speed in mph

d -----> the distance in miles

t ----> the time in hours

x ----> distance traveled by Daisy to the meeting point

60-x ----> distance traveled by Sally to the meeting point

so

[tex]s=\frac{d}{t}[/tex]

Solve for d

[tex]d=st[/tex]

Distance traveled by Daisy to the meeting point

[tex]d=st[/tex]

we have

[tex]d=x\ mi\\s=12\ mph[/tex]

substitute

[tex]x=12t[/tex] ----> equation A

Distance traveled by Sally to the meeting point

[tex]d=st[/tex]

we have

[tex]d=(60-x)\ mi\\s=8\ mph[/tex]

substitute

[tex]60-x=8t[/tex] ----> equation B

substitute equation A in equation B

[tex]60-12t=8t[/tex]

solve for t

[tex]12t+8t=60\\20t=60\\t=3\ hours[/tex]

There are 45 students who play a woodwind instrument in the school band. Of these, 18 play the saxophone. What percent of these students play the saxophone

Answers

Answer:

40% students play the saxophone.

Step-by-step explanation:

Given:

Total Number of students who play woodwind instrument = 45

Number of students who play saxophone = 18

We need to find the percent of students who play saxophone.

Solution:

Now we can say that;

To find the percent of students who play saxophone we will divide Number of students who play saxophone by Total Number of students who play woodwind instrument and the multiply by 100.

framing in equation form we get;

percent of students who play saxophone = [tex]\frac{18}{45}\times100= 40\%[/tex]

Hence 40% students play the saxophone.

The percent of these students play the saxophone is 40%.

Using this formula

Percentage=Number of student that play saxophone/Number of student that play woodwind instrument×100

Where:

Number of student that play saxophone=18

Number of student that play woodwind instrument=45

Let plug in the formula

Percentage=18/45×100

Percentage=40%

Inconclusion the percent of these students play the saxophone is 40%.

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calculate the current in a circuit with resistance (r) of 30 and electromotive force (e) of 120vac​

Answers

Answer:

E=I(R+r)

R+r=30

I=E/(R+r)

I=120/30

I=4A

Step-by-step explanation:

Final answer:

Using Ohm's Law (I = E/R), the current in a circuit with a resistance of 30 ohms and electromotive force of 120 VAC is calculated as 4 amperes.

Explanation:

To calculate the current (I) in a circuit when given the resistance (R) and electromotive force (E), we can use Ohm's Law, which states that current is equal to voltage divided by resistance (I = E/R). Using the values from the question, the resistance is 30 ohms and the electromotive force is 120 VAC. Therefore, the current in the circuit can be calculated as follows:

I = E/R = 120 V / 30 Ω = 4 A

So, the current in the circuit is 4 amperes.

Aparty rental company has chairs and tables for rent. The total cost to rent 5 chairs and 6 tables is $65. The total cost to
rent 3 chairs and 2 tables is $25. What is the cost to rent each chair and each table?

Answers

Answer:the cost of renting each chair is $2.5

the cost of renting each table is $8.75

Step-by-step explanation:

Let x represent the cost of renting each chair.

Let y represent the cost of renting each table.

The total cost to rent 5 chairs and 6 tables is $65. This means that

5x + 6y = 65 - - -- - - - - - - -1

The total cost to rent 3 chairs and 2 tables is $25. This means that

3x + 2y = 25 - - - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 5, it becomes

15x + 18y = 195

15x + 10y = 125

Subtracting, it becomes

8y = 70

y = 70/8 = 8.75

Substituting y = 8.75 into equation 1, it becomes

5x + 6 × 8.75 = 65

5x + 52.5 = 65

5x = 65 - 52.5 = 12.5

x = 12.5/5 = 2.5

Jennifer made 5 Liters of punch for her party. Her brother made another 750 milliliters if they combine the two batches how many 180 milliliters servings would they have would there be any punch left over if so how much

Answers

Answer:

Step-by-step explanation:

The total amount of punch that Jennifer made for her party is 5 Liters. Her brother made another 750 milliliters.

1000 milliliters = 1 liter

750 milliliters = 750/1000 = 0.75Liter

if they combine the two batches, the total amount made would be

5 + 0.75 = 5.75Liter

= 5.75 × 1000 = 5750 milliliters

The number of 180 milliliters servings would be

5750/180 = 31 servings

There would be leftovers of 170 milliliters

Round all answers to the nearest whole number. How many of the people surveyed make less than 5 calls per day? What percentage of those surveyed make at least 9 calls per day? % How many people were surveyed?

Answers

Answer:

a). 18

b). 26%

c). 39

Step-by-step explanation:

Given question is incomplete; here is the complete question attached.

a). In this part we have to calculate the number of the people surveyed who make less than 5 calls.

From the given table,

Number of people surveyed who make less than 5 calls Or 1 - 4 calls = 18

b). Total number of people surveyed = 18 + 11 + 5 + 3 + 2 = 39

Number of people surveyed, make at least 9 calls = 5 + 3 + 2 = 10

Percentage of these people = [tex]\frac{\text{People who make calls more than 9 calls per day}}{\text{Total number of people surveyed}}\times 100[/tex]

= [tex]\frac{10}{39}\times 100[/tex]

= 25.64%

≈ 26%

c). Total number of people surveyed = 18 + 11 + 5 + 3 + 2 = 39

AHHHH HELP I WILL GIVE BRAINLY NO CAP NO CAP

Answers

Answer:

The answer to your question is letter A

Step-by-step explanation:

From the graph, we conclude that it is a vertical ellipse with center (0, 0).

Also from the graph, we calculate a and b

a = 11, a is the distance from the center to the vertical vertex

b= 9,  b is the distance from the center to the horizontal vertex

Equation

                        [tex]\frac{x^{2}}{9^{2}} + \frac{y^{2}}{11^{2}} = 1[/tex]

Simplification

                      [tex]\frac{x^{2}}{81} + \frac{y^{2}}{111} = 1[/tex]

Traditions clothing store is having a sale. Shirts that were regularly priced at $20 are on sale $17. Explain how to find the discount offered for the price of the shirts?

Answers

Answer:

Step-by-step explanation:

Let x represent the discount in percentage offered for the price of the shirts.

The regular price of the shirts was $20

The price for which the shirt was offered for sale is $17 which also represents the discounted price.

The discount would be

20 - 17 = $3

The percentage discount would be

The discount/ the regular price × 100%.

Therefore,

% discount = 3/20 × 100 = 0.15 × 100

= 15%

The rodriguez brother buys f boxes of frozen burger meat, each containing m slices of meat. Every week, the family eats b burgers. Write an equation in terms of f, m,, and b that represents the number of remaining burger meat,r, after 5 weeks

Answers

Answer:

[tex]r=f\times m-5b[/tex]

Step-by-step explanation:

Given:

Number of boxes of burger meat = [tex]f[/tex]

Number of slices of meat in each box = [tex]m[/tex]

Number of burgers the family eats each week = [tex]b[/tex]

Number of burger meat remaining = [tex]r[/tex]

To write: An equation in terms of [tex]f, m,\ and\ b[/tex] that represents the number of remaining burger meat, [tex]r[/tex], after 5 weeks.

Now, since each box contain 'm' slices.

Therefore, by unitary method, number of slices of meat in 'f' boxes is given as:

[tex]Total\ number\ of\ slices=f\times m[/tex]

Now, each week burger consumption = 'b'

So, 'b' slices of meat are eaten each week. Again by unitary method, the number of slices eaten in 5 weeks is given as:

[tex]\textrm{Number of slices eaten in 5 weeks}=5b[/tex]

Now, Slices remaining = Total number of slices - Number of slices eaten in 5 weeks.

Therefore, [tex]r=f\times m-5b[/tex]

Hence, the equation that represents the number of slices of burger meat remaining in terms of 'f', 'm', and 'b' is given as:

[tex]r=f\times m-5b[/tex]

Sue has $40,000 in her savings account. She use some of the money to put towards a house. She has $36,479 left. How much did she put towards the house. Solve and write an equation with a variable to represent the unknown.

Answers

Answer:

x = $3,521

Step-by-step explanation:

let the amount of money that she put towards a house be represented by the variable x

Hence,

total savings = amount put towards house + amount left

$40,000 = x + $36,479   (rearrange)

x + $36,479  = $40,000   (subtract $36,479 from both sides)

x   = $40,000 -  $36,479

x = $3,521

11. A(-2,1), B(2,5), C(5,1) (round answers to the nearest tenth)

Perimeter___________

Area_______________




Answers

See the attached picture:

One store has 3 Managers and 12 Salespeople.Another store has 4 Managaers and 15 salespeople. Do both stores have equivalent ratios of managers to salespeople explain.

Answers

Answer:

The ratio of mangers to sales people of the stores are not equivalent as the ratios in their simplest form are not equal.

Step-by-step explanation:

Given:

One store has:

3 Managers and 12 sales persons

Another store has:

4 Managers and 15 sales persons.

To find if the ratio of mangers to sales people are equivalent.

Solution:

Store A:

Managers = 3

Sales people = 12

Ratio of mangers to sales people for store A = [tex]\frac{3}{12}[/tex] =[tex]\frac{3\div3}{12\div 3}=\frac{1}{4}[/tex]  (Simplest ratio)

Store B:

Managers = 4

Sales people = 15

Ratio of mangers to sales people for store B = [tex]\frac{4}{15}[/tex]

The ratio is in the simplest form and cannot be reduced further.

We can see that : [tex]\frac{1}{4}\neq \frac{4}{15}[/tex]

Hence, the ratio of mangers to sales people of the stores are not equivalent.

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 37 and a standard deviation of 9. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 28 and 46?

Answers

Answer:

0.6826

Step-by-step explanation:

Mean(μ) = 37

Standard deviation (σ) = 9

P(28 < x < 46) = ???

Using normal distribution

Z = (x - μ)/σ

For x = 28

Z = (28 - 37)/9

Z = -9/9

Z = -1

For x = 46

Z = (46 - 37)/9

Z = 9/9

Z = 1

We now have

P(-1 < Z < 1)

= P(Z < 1) - P(Z < -1)

From the table, Z = 1 = 0.3413

φ(Z) = 0.3413

Recall that

When Z is positive, P(x<a) = 0.5 +φ(Z)

P(Z<1)= 0.5 + 0.3413

= 0.8413

When Z is negative, P(x<a) = 0.5 - φ(Z)

P(Z< -1)= 0.5 - 0.3413

= 0.1587

We now have

0.8413 - 0.1587

= 0.6826

A relationship between two variables in which the variables vary in the opposite direction (i.e., one increases while the other decreases, or vice versa) is referred to as a:________ a) strongerb) weakerc) positived) negative

Answers

Answer: d) negative

Step-by-step explanation:

The term correlation is used to define the relationship between the two variables .

We say there is a positive relationship between them if one increases / decreases then other also  increases / decreases simultaneously.

Here, the variables vary in the same direction.

If one variable increases while the other decreases , then we call it a negative relationship between them.

Here, the variables vary in the opposite direction.

∴ A relationship between two variables in which the variables vary in the opposite direction (i.e., one increases while the other decreases, or vice versa) is referred to as a: negative correlation.

Hence, the correct answer is  d) negative

Tell which measure of central tendency best describes the data. Time spent on Internet (min/day): 75 38 43 120 65 48 52 A. Mean B. Median C. Mode

Answers

Answer:

B. Median

Step-by-step explanation:

We have been given data about time spent on Internet (min/day). We are asked to determine the best measure of central tendency for the given data.

Data: 75, 38, 43, 120, 65, 48, 52,

We can see that our given data has a very large value outlier (120), so it will increase the mean.

There is no mode for the given data set as no value repeats.

We know that median is best measure for data set with large valued outliers because median is not affected by outliers.

Therefore, option B is the correct choice.

The measure of central tendency that best describes the data is B. Median.

Which measure of central tendency best describes the data on time spent on the Internet?

Mean:

= (75 + 38 + 43 + 120 + 65 + 48 + 52) / 7

= 69.86

Median:

We arrange data in ascending order: 38, 43, 48, 52, 65, 75, 120. Since there are seven values, the median is the middle value: 52

Mode: There is no value that appears more than once in the data set.

Therefore, the measure of central tendency that best describes the data is B. Median.

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Packages of batteries normally sell for $4.99. They are now 20% off. How much would you have to pay?

Answers

Answer:

You will have to pay $ 3.99 for the package of batteries with 20% discount

Step-by-step explanation:

Standard price of the batteries packages = $ 4.99

Discount = 20% = 0.2

Discounted price = Standard price - Discount

Discounted price = 4.99 - (0.2 * 4.99)

Discounted price = 4.99 - 1.00 (Rounding to the next tenth)

Discounted price = 3.99

You will have to pay $ 3.99 for the package of batteries with 20% discount

Final answer:

A package of batteries with a 20% discount off the original price of $4.99 would be approximately $3.99 after subtracting the discount amount, which is $0.998.

Explanation:

To calculate how much the student would have to pay for packages of batteries that normally sell for $4.99 with a 20% discount, we first need to determine the amount of the discount. To find the discount amount, multiply the original price by the discount percentage:

$4.99 × 0.20 = $0.998

Now, subtract the discount amount from the original price to get the sale price:

$4.99 - $0.998 = $3.992

The discounted price will be approximately $3.99, as the final amount is traditionally rounded to the nearest cent.

A junk box in your room contains a dozen old batteries, five of which are totally dead. You start picking batteries one at a time and testing them. Find the probability of each outcome.

Answers

Answer:

7/12 of a chance

Step-by-step explanation:

If you have 12 batteries and 5 are dead, 12 - 5 is 7, so there's going to be 7/12 of a chance.

If radio station call letters must begin with either K or W and must include either two or three additional letters, how many different possibilities are there? There are different possibilities. (Simplify your answer.)

Answers

Answer:

Step-by-step explanation:

You have $50,000 to invest, and two funds that you'd like to invest in. The You-Risk-It Fund (Fund Y) yields 14% interest. The Extra-Dull Fund (Fund X) yields 6% interest. Because of college financial-aid implications, you don't think you can afford to earn more than $4,500 in interest income this year. How much should you put in each fund?

Answers

Answer:

Principal Fund Y = $18,750

Principal Fund X = $31,250

Step-by-step explanation:

Given;

Total amount to invest = $50,000

Maximum amount of interest =$4,500

For fund Y;

Let y represent the amount invested(principal) in fund Y

Interest = 14% = 0.14

Time = 1 year

Interest = principal × rate × time

Interest on fund y = y × 0.14 × 1= 0.14y

For fund X;

The amount invested in fund X can be given as

x =50,000-y

Rate = 6% = 0.06

Time = 1 year

Interest on fund X = x × 0.06 ×1 = 0.06x = 0.06(50,000-y)

Total interest = interest on fund Y + fund X

$4,500 = 0.14y + 0.06(50,000 - y)

4500 = 0.14y - 0.06y + 3000

0.8y = 4500-3000

0.8y = 1500

y = 1500/0.08

y = $18,750

x = $50,000 - $18,750

x = $31,250

Help plz, Worth 30 pts, Will give branliest!

Answers

A.11

Step-by-step explanation:

Here apply the interpolation formula to find the value of y

From the table, you can interpolate the value of y where x is 92 by using the points (91,10) and (98,15)

The formula to apply is;

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} *(x-x_1)[/tex]

where

(x₁,y₁)=(91,10)

(x₂,y₂)=(98,15)

(x,y)=(92,?)

Substitute values in the equation;

[tex]y-10=\frac{15-10}{98-91} *(92-91)\\\\y-10=\frac{5}{7} *(1)\\\\7(y-10)=5\\7y-70=5\\7y=5+70\\\\7y=75\\\\y=75/7=10.71\\\\y=11[/tex]

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