A set of 125 golf scores are normally distributed

with a mean of 76 and a standard deviation of

3. What percent of the scores are between 67 and 85?

Answer:

       480  ganara de comision de los 12000

para conseguir este resultado debes multiplicar 12000 por 4   y luego dividirlo por 100

Answer:

(7^2)^2

Step-by-step explanation:

(7^-2)*(7^6)=7^-2+6

......since the base 7 is the same, when u multiply them, you should add the exponents and keep 7 as it is. That will be 7^4, which in equivalent to ans D(7^2)^2

Answer:

yes

Step-by-step explanation:

because area of sphere equals =

\(4\pi \: r{2} \)

so if we doubled the radius the surface area will be doubled

The correct answer is  your friend needs to deposit approximately $13,334.45 annually from her 26th birthday to her 65th birthday to be able to make the desired withdrawals at retirement.

To determine the annual deposit your friend needs to make for her retirement fund, we'll calculate the present value of the desired withdrawals during retirement and then solve for the equal annual deposit.

Step 1: Calculate the present value of the withdrawals during retirement

Using the formula for the present value of an annuity, we'll calculate the present value of the $250,000 withdrawals per year for 20 years after retirement.

\(PV = CF * [1 - (1 + r)^(-n)] / r\)

Where:

PV = Present value

CF = Cash flow per period ($250,000)

r = Rate of return after retirement (5%)

n = Number of periods (20)

Plugging in the values, we get:

PV = $250,000 * \([1 - (1 + 0.05)^(-20)] / 0.05\)

PV ≈ $2,791,209.96

Step 2: Calculate the equal annual deposit before retirement

Using the formula for the future value of an ordinary annuity, we'll calculate the equal annual deposit your friend needs to make from her 26th birthday to her 65th birthday.

\(FV = P * [(1 + r)^n - 1] / r\)

Where:

FV = Future value (PV calculated in Step 1)

P = Payment (annual deposit)

r = Rate of return before retirement (8%)

n = Number of periods (40)

Plugging in the values, we get:

$2,791,209.96 = \(P * [(1 + 0.08)^40 - 1] / 0.08\)

Now, we solve for P:P ≈ $13,334.45

Therefore, your friend needs to deposit approximately $13,334.45 annually from her 26th birthday to her 65th birthday to be able to make the desired withdrawals at retirement.

Learn more about compound interest here:

https://brainly.com/question/24274034

#SPJ11

y= -4x-5 you can find this by seeing how far it goes up/down and where it starts:)

Solution to given logarithmic equations and inequalities are;

x = 1

x = 9

x = 261

x = 10/3

x = 4

3x² - 2x - 1 = 0

x = 1 or x = -1/3

x = 13

x = 0

x = 0 or x = 5

1. 3x = log6 216

Using the definition of logarithm, we have:

\(6^{3x} = 216\)

\(6^{3x} = 6^3\)

3x = 3

x = 1

2. x - 4 = log3 243

Using the definition of logarithm, we have:

\(3^{x - 4} = 243\)

\(3^{x - 4} = 3^5\)

x - 4 = 5

x = 9

3. log4 (4x - 20) = 5

Using the definition of logarithm, we have:

4⁵ = 4x - 20

1024 = 4x - 20

4x = 1044

x = 261

4. log9 (3 - x) = log9(5x – 15)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3 - x = 5x - 15

20 = 6x

x = 10/3

5. log81 (x + 20) = log81 (6x)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x + 20 = 6x

20 = 5x

x = 4

6. log9 (3x²) = log9 (2x + 1)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3x² = 2x + 1

3x² - 2x - 1 = 0

7. Using the quadratic formula, we have:

x = (-(-2) ± √((-2)² - 4(3)(-1))) / (2(3))

x = (2 ± √(16)) / 6

x = (2 ± 4) / 6

x = 1 or x = -1/3

8. log4(x - 1) = log4(12)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x - 1 = 12

x = 13

9. log7(5 - x) = log7 (5)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

5 - x = 5

x = 0

10. logx (5x) = 2

Using the definition of logarithm, we have:

x² = 5x

x² - 5x = 0

x(x - 5) = 0

x = 0 or x = 5

Note that x = 0 is not a valid solution, since log 0 is undefined. Therefore, the only solution is x = 5.

Learn more about logarithmic equations.

brainly.com/question/29094068

#SPJ11

The total number of pizzas that are possible between zero and ten toppings is 1024 pizzas.

Combinations in probability theory and other areas of mathematics refer to a sequence of outcomes where the order does not matter.

For example, when you're ordering a pizza, it doesn't matter whether you order it with ham, mushrooms, and olives or olives, mushrooms, and ham.

Total number of pizzas that are possible between zero and ten toppings is calculated as follows;

p = 2¹⁰ = 1024 pizzas

Thus, the total number of pizzas that are possible between zero and ten toppings is 1024 pizzas.

Learn more about combination probability here: https://brainly.com/question/251701

#SPJ4

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

Learn more about inverse here:

https://brainly.com/question/3831584

#SPJ9

There are 14 possible outcomes for the 7-question test.

Combinations are defined as the arrangement of objects or numbers in a way such that the order of the arrangement does not matter.

Given that the total number of questions is 7.

Each question has two possible outcomes, either true or false.

Given that, you randomly guess on all questions.

So you can guess either true or false for all questions.

That is, there are 2 possible options for each question.

And total number of questions = 7

Total number of possible outcomes = 2 × 7 = 14

Hence the total possible outcomes is 14.

To learn more about Possible Outcomes, click :

https://brainly.com/question/19567251

#SPJ7

The sequential criterion for functional limit is a way to determine the limit of a function as x approaches a certain value, by looking at the sequence of function values at points that approach that value.

The sequential criterion states that a function f(x) has a limit L as x approaches a if and only if for every sequence {xₙ} that converges to a, the corresponding sequence of function values {f(xₙ)} also converges to L.

In other words, if we can find a sequence of x values that approach the desired value, and the corresponding sequence of function values approaches a specific limit, then we can say that the function has a limit at that value.

This criterion can be useful in cases where we cannot directly evaluate the function at the desired value or when the function is undefined at that value. By examining the behavior of the function as it approaches the value from different directions, we can determine whether a limit exists and what its value is.

To learn more about criterion click on,

https://brainly.com/question/2861100

#SPJ4

0.077 ft/min

The water level is rising at a rate of 0.077 ft/min when the water is 5 inches deep.

This can be calculated by dividing the water volume being added per minute (9 ft3/min) by the trough volume (48 ft3).

This will give you the rate of water level rise (0.188 ft/min).

To get the rate when the water is 5 inches deep, you must multiply by 5/12 (0.077 ft/min).

Learn more about water volume

brainly.com/question/2085689

#SPJ11

The given binomial x² + 9 as given in the task content is not a difference of two squares because the arithmetic sign between the two terms represents a sum.

By observation; although the terms x² and 9 represent perfect squares, it follows that the sign between the two terms is an addition sign.

Hence, the given binomial does not qualify to be termed the difference of two squares.

Read more on difference of two squares;

https://brainly.com/question/3189867

#SPJ1

Answer:

4 23/40

Explanation:

Answer:

Second Option, 4 23/40

Step-by-step explanation:

7 3/8 = 59/8

2 4/5 = 14/5

14 x 8 = 112

5 x 8 = 40

112/40

59 x 5 = 295

8 x 5 = 40

295/40

295 - 112 = 183

183/40 = 4 23/40

Answer:

x= the square root of 7 and the negative square root of 7

Step-by-step explanation:

basically

x^2=7

can be converted into

x=7^1/2 (^1/2 is another way to say square root or represent square root)

x= 2.645751311 or -2.645751311

negative is included as a negative value to the power of 2 gives a positive value

hope this helps

Answer:

sorry i dont know

Step-by-step explanation:

Answer:

Sorry for the long wait i was taking my cumulative exam for precal and it took a bit but i hope im correct. My brain is fried and dont know if i even came close.

Sally will have to pay $50.52 in sales tax when she buys the Sarow boat.

Sales tax is a percentage of the purchase price of an item that the buyer pays to the government.

In this scenario, we will discuss how to calculate the sales tax that Sally will have to pay when she purchases a Sarow boat for $842, with a tax rate of 6%.

When we say that the sales tax rate is 6%, it means that for every dollar Sally spends on the Sarow boat, she has to pay an additional 6 cents to the government as tax. To calculate the amount of tax Sally will pay, we need to multiply the purchase price of the boat by the tax rate.

The formula to calculate the amount of sales tax is:

Sales tax amount = Purchase price x Tax rate

Using the given values, we can plug them into the formula and solve for the tax amount:

Sales tax amount = $842 x 0.06

Sales tax amount = $50.52

To know more about tax rate here.

https://brainly.com/question/12395856

#SPJ4

Answer: I dont get if your tryna evaluate but if you tryna evaluate with scientific notation its 1.625 x 10^14 thats what i got ima go with b--

Answer:

12 ounces

Step-by-step explanation:

there is 16 ounces in 1 pound. so all you have to do is multiply the 3/4 times 16

or

4 oz = 1/4 lb  therefor, 12 oz =  3/4 lb

Step-by-step explanation:

How to solve your problem

(x+5)=x

Solve

1

Subtract

5

from both sides

x+5=x

x+5

2

Simplify

Subtract the numbers

x=x-5

3

Subtract

x

from both sides

x=x-5

Simplify

Combine like terms

Combine like terms

0=-5

Result

0=-5

The input is a contradiction: it has no solutions

Answer:

x=x-5 or 0=-5

Step-by-step explanation:

subtract 5 from both sides

Answer:

$3,550 dollars

Step-by-step explanation:

6.4% off savings

- a total of $2,400

The percentage is that indicating the hundredth total amount in the saving account before withdrawing such that 6.4% of that is $2400 is $37500.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Let's suppose the total amount of money before withdrawing x.

It is known that x% of y is given as, (x/100)y.

Therefore,6.4% of x is (6.4/100)x = 0.064x

The 6.4% of the x is 2400

So, 0.064x = 2400

x = 2400/0.064 = $37500

Hence "The percentage is that indicating the hundredth total amount in the saving account before withdrawing such that 6.4% of that is $2400 is $37500.".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

The p-value is less than the significance level (typically 0.05), we reject the null hypothesis and conclude that the majority of teens in this age range do not respond better to the new drug therapy for autism.

The correct answer is not provided in the question. The chi-square test statistic cannot be used for testing hypotheses about a single proportion. Instead, we use a z-test for proportions. To find the test statistic, we first calculate the sample proportion:

p-hat = 411/900 = 0.4578

Then, we calculate the standard error:

SE = \(\sqrt{[p-hat(1-p-hat)/n] } = \sqrt{[(0.4578)(1-0.4578)/900]}\) = 0.0241

Next, we calculate the z-score:

z = (p-hat - p) / SE = (0.4578 - 0.50) / 0.0241 = -1.77

Finally, we find the p-value using a normal distribution table or calculator. The p-value is the probability of getting a z-score as extreme or more extreme than -1.77, assuming the null hypothesis is true. The p-value is approximately 0.0392.

Since the p-value is less than the significance level (typically 0.05), we reject the null hypothesis and conclude that the majority of teens in this age range do not respond better to the new drug therapy for autism.

Learn more about null hypothesis here:

https://brainly.com/question/28920252

#SPJ11

Given:

In right triangle \(GHI,m\angle I=90^\circ,GH=7.5,HI=7.2,GI=2.1\).

To find:

The ratio (fraction) for Tan H.

Solution:

In a right triangle,

\(Tan\theta=\dfrac{Perpendicular}{Base}\)

In \(\Delta GHI\).

\(Tan H=\dfrac{GI}{HI}\)

\(Tan H=\dfrac{2.1}{7.2}\)

It can be written as

\(Tan H=\dfrac{21}{72}\)

\(Tan H=\dfrac{7}{24}\)

Therefore, the fraction for Tan H is \(\dfrac{2.1}{7.2}\) or it can be written as \(\dfrac{7}{24}\).

The p-value is 2 * 0.0708 = 0.1416.

To find the p-value associated with a z test statistic of 1.47 in a two-tailed test, we need to calculate the probability of observing a test statistic as extreme or more extreme than 1.47 in both tails of the standard normal distribution.

The p-value is the probability of observing a test statistic as extreme or more extreme than the observed value. In a two-tailed test, we need to consider both tails.

To find the p-value, we can use a standard normal distribution table or a statistical calculator. In this case, using a standard normal distribution table, we find that the area to the right of 1.47 is 0.0708.

Since it is a two-tailed test, we need to consider both tails. Therefore, the total p-value is twice the area in one tail.

Know more about probability here:

https://brainly.com/question/32004014

#SPJ11

The volume of the rectangular prism is 144 cubic inches.

The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the given dimensions are 3 inches by 12 inches by 4 inches.

To find the volume, we multiply the length (3 inches) by the width (12 inches) and then multiply the result by the height (4 inches):

Volume = 3 inches × 12 inches × 4 inches = 144 cubic inches.

This means that the prism can hold 144 cubic inches of space or fill a container with a capacity of 144 cubic inches.

The volume of an object is a measure of the amount of three-dimensional space it occupies. In this case, the rectangular prism has a length of 3 inches, a width of 12 inches, and a height of 4 inches. By multiplying these dimensions together, we determine that the volume of the prism is 144 cubic inches.

To know more about volume, refer here :

https://brainly.com/question/28058531#

#SPJ11

Answer:

Never second guess yourself

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

when I add 65+72 and the answer gave me and I find the square root of that number

Answer:

Step-by-step explanation:

zoom factor=1/2

new dimensions=11/2,16/2

or 5.5 ,8

Answer:

The answer is 2x+48

Step-by-step explanation:

1: Distribute

6(3x+4)-4(2x-6)-8x

18x + 24 - 4(2x-6)-8x

2: Distribute

18x + 24 - 4(2x-6)-8x

18x + 24 - 8x + 24 - 8x

3: Add the numbers

18x + 24 - 8x + 24 - 8x

18x + 48 - 8x - 8x

4: Combine like terms

18x + 48 - 8x - 8x

2x+48

Solution:

2x+48

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

True. There is a statistically significant difference from the population proportion.

For the hypothesis test, the null hypothesis is that the population proportion of 25-year-olds who are married is p = 0.50. The alternative hypothesis is that the population proportion of 25-year-olds who are married is not equal to 0.50, i.e. p ≠ 0.50. The test statistic is a two-tailed test with a z-test since the population standard deviation is unknown.

Given the data, the sample proportion is 0.24. The standard error is calculated as follows:

Standard Error = \($\sqrt{\frac{p(1-p)}{n}}$\)

= \($\sqrt{\frac{0.50(1-0.50)}{776}}$\)

= 0.024

The z-statistic is then calculated as follows:

z = \($\frac{0.24 - 0.50}{0.024}$\)

= -10.42

With the z-statistic, we can then calculate the p-value, which is the probability of observing a result at least as extreme as the one we got given that the null hypothesis is true. The p-value is calculated as follows:

p-value = \($2 \times \Phi(-10.42)$\)

= 0.01

Since this p-value is less than the significance level (0.01), we can reject the null hypothesis and conclude that there is a statistically significant difference from the population proportion.

True. There is a statistically significant difference from the population proportion.

Learn more about the random sample here:

https://brainly.com/question/12719656.

#SPJ4