Four times a number n equals 9. Which of thefollowing equations represents this statement?

Answer:

\(1\frac{19}{24}\)

Step-by-step explanation:

1/4 can easily become 2/8 and 1/2 can become 4/8.

combine with 3/8 = 9/8 or \(1\frac{1}{8}\).

add 2/3 to that by first making them have the same denominator, 24.

16/24 + 27/24 = 43/24 which can be reduced to \(1\frac{19}{24}\).

Answer:

1 19/24

Step-by-step explanation:

3/8 + 1/4 + 2/3 + 1/2

The common denominator is 24

3/8 *3/3 + 1/4 *6/6 + 2/3 *8/8   + 1/2 *12/12

9/24 + 6/24 + 16/24 + 12/24

43/24

Changing to a mixed number

24/24 +19/24

1 19/24

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer: 10

Step-by-step explanation:

If water fell on 1 hector of land during rainfall of 10000 \(m^{2}\) then the volume of water that has fallen on the ground is 100 tonnes.

Given that water fell on 1 hector of land during rainfall of 10000 \(m^{2}\).

We are required to find the volume of water that has fallen on the ground.

1 hectare = 10000 \(m^{2}\)

1 cm = 0.01 m

Volume of full rain fall= 0.01 m * 10000 \(m^{2}\)

= 100 \(m^{3}\) = 100*1000 litres = 100000 litres.

1 litre of water weighs 1 kg.

So weight of the fallen rain = 100000 kg.

=100 tonnes.

Hence if water fell on 1 hector of land during rainfall of 10000 \(m^{2}\) then the volume of water that has fallen on the ground is 100 tonnes.

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Answer:

a) 0.0156 = 1.56% probability that all children will develop the disease.

b) 0.4219 = 42.19% probability that only one child will develop the disease.

c) 0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they carry the disease, or they do not. The probability of a children carrying the disease is independent of any other children, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The probability that their offspring will develop the disease is approximately .25.

This means that \(p = 0.25\)

Three children:

This means that \(n = 3\)

Question a:

This is P(X = 3). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156\)

0.0156 = 1.56% probability that all children will develop the disease.

Question b:

This is P(X = 1). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{3,1}.(0.25)^{1}.(0.75)^{2} = 0.4219\)

0.4219 = 42.19% probability that only one child will develop the disease.

c. The third child will develop Tay–Sachs disease, given that the first two did not.

Third independent of the first two, so just multiply the probabilities.

First two do not develop, each with 0.75 probability.

Third develops, which 0.25 probability. So

\(p = 0.75*0.75*0.25 = 0.1406\)

0.1406 = 14.06% probability that the third children will develop the disease, given that the first two did not.

Answer:

1 mile

Step-by-step explanation:

if she can travel half a mile in 5 minutes, she can travel another half of a mile in 10 minutes. this adds up to 1 mile.

Based on the given information, if p is the number of pens, you can write the following equation:

p + 5 - (p + 5)/2 = 16

the first term is the total number of pen Shanice had on Monday, 5 term is the bought she did on Tuesday, and the third term means that the number of pen she lost on Wednesday was half of the pens she had before that day, that is (p + 5). Finally, the numper of pan she has is 16, the right side of the equation.

Then, with an equation you can represent the given situation.

To determine the number of pens Shanice had on Monday, solve the equation as follow:

p + 5 - (p + 5)/2 = 16 apply distribution property left side

p + 5 - p/2 - 5/2 = 16 multiply by 2 both sides

2p + 10 - p - 5 = 32 simplify like terms left side

2p - p + 10 - 5 = 32

p + 5 = 32 subtract 5 both sides

p = 32 - 5

p = 27

Hence, Shanice had 27 pens on Monday.

Answer:

\(4n+5\)

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

The first shape

Step-by-step explanation:

as you can tell the side numbers are increasing for example...

triangle=3 sides

square=4 sides

pentagon=5 sides

so on and so forth

have a wonderful day!

Answer:

the Hexagon

Step-by-step explanation:

The pattern is adding one side to each shape. So after 5, it would be 6. And the shape that has six sides is the hexogon.

Answer:

Shen has $15, Brian has $45, and Melissa has $25

Step-by-step explanation:

Let x represent how much money Shen has.

Since Brian has 3 times what Shen has, his amount can be represented by 3x.

Since Shen has $10 less than Melissa, Melissa's amount can be represented by x + 10.

Create an equation to represent the situation, and solve for x:

x + 3x + x + 10 = 85

5x + 10 = 85

5x = 75

x = 15

So, Shen has $15 in their wallet.

Find how much Brian has by multiplying this by 3:

15(3) = $45

Find how much Melissa has by adding 10 to this:

15 + 10 = $25

Shen has $15, Brian has $45, and Melissa has $25.

Answer:

The probability that the battery in a critical tool fails at 32 hours was from manufacturer 2 is 0.625

Step-by-step explanation:

Given that:

60% of the batteries are from manufacturer 1

90% of these batteries last for over 40 hours

Let the number of the battery duration be n = 0.90

Therefore n' = 1 - 0.90 = 0.10

Let p = manufacturer 1  and q = manufacturer 2

q = 1 - p

q = 1 = 0.6

q = 0.4

Thus ; 40% of the batteries are from manufacturer 2

However;

Only 75% of the batteries from manufacturer 2 last for over 40 hours.

Let number of battery duration be m = 0.75

Therefore ; m' = 1 - 0.75 = 0.25

A battery in a critical tool fails at 32 hours.

Thus; the that the battery in a critical tool fails at 32 hours was from manufacturer 2 is:

\(= \dfrac{q \times m' }{ p \times n' + q \times m' }\)

\(= \dfrac{0.4 \times0.25 }{ (0.6 \times 0.1) + (0.4 \times 0.25 ) }\)

\(=\dfrac{0.1}{0.06+ 0.1}\)

\(=\dfrac{0.1}{0.16}\)

= 0.625

The probability that the battery in a critical tool fails at 32 hours was from manufacturer 2 is 0.625

The probability that the battery was from manufacturer 2 is 62.5%.

Since the Ambell Company uses batteries from two different manufacturers, and historically, 60% of the batteries are from manufacturer 1, and 90% of these batteries last for over 40 hours, while only 75% of the batteries from manufacturer 2 last for over 40 hours, if a battery in a critical tool fails at 32 hours, to determine what is the probability it was from manufacturer 2 the following calculation must be performed:

Therefore, the probability that the battery was from manufacturer 2 is 62.5%.

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Main Answer: $160,000

Concept and definitions should be there:

Cash flow statement indicates the cash flow from three components of the company namely cash flow from investing activity, cash flow from financing activity and cash flow from operating activity. It is also named as the statement of cash flows.

Given that,

The firm had $100,000 in the bank at the end of the prior year, and it’s working capital accounts except cash remained constant during the year. It earned $5 million in net income during the year but paid $900,000 in dividends to common shareholders. Throughout the year, the firm purchased $5.4 million of property, plant, and equipment — the majority having a useful life of more than 20 years and failing under the alternative depreciation system. You have just spoken to the firm’s accountants and learned that annual depreciation expense for the year is $460,000. The purchase price for the represents additions property, plant, and equipment before depreciation. Finally, you have determined that the only financing done by the firm was to issue long-term debt of $1 million at a 6% interest rate. What was the firm’s end-of-year cash balance? Recreate the firm’s cash flow statement to arrive at your answer. Write out your answer completely.

Solving part:

Opening cash balance =  $100,000

Net income                    =$5,000,000

Add: Depreciation         =$460,000

Add: Interest expenses =$50,000

Add: Dividend paid      = $900,000  

total balance                  =$6,510,000

Cash flow from investing activity:

Less: Purchase of machinery = $5,400,000

now, total balance                 =  $1,110,000  

Cash flow from financing activity:

To prepare the cash flow from Financing, we need to look at the Balance Sheet items

that include Debt and Equity. Besides, we need to include the cash dividends paid as cash outflows here.

Less: Interest paid  = $50,000

Less: Dividend paid=     $900,000  

                     total  =  $950,000

Closing balance of cash at bank = $160,000

Interest expense =Debt issued×Interest rate

                             =$1,000,000×5%

                             =$50,000.

Final Answer:  $160,000

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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The interest eared from the given amount, rate of interest and time period is $426.883.

Given that, amount = $700, rate of interest = 4% and time period = 2 years.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest is \(Amount=Principal(1+\frac{r}{100})^{nt}\)

Let the money deposited be x.

So, \(700=x(1+\frac{4}{100} )^{2\times12}\)

⇒ \(700=x(1+0.04)^{24}\)

⇒ \(700=x(1.04)^{24}\)

⇒ 700 = 2.563x

⇒ x=700/2.563

⇒ x=$273.117

So, interest = 700-273.117

= $426.883

Therefore, the interest eared from the given amount, rate of interest and time period is $426.883.

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Answer:

y=x-2

Step-by-step explanation:

4-0=4 = (change in y)

2--2=4 = (change in x)

change in y/change in x=4/4=1=x

gradient = x

y=x+c

Subtitute any coordinate

2=4+c

c=-2

so

y=x-2

Answer:

y=x-2

Step-by-step explanation:

Slope Intercept Form

y=x-2

Find Slope using equation below

Chose points I chose 2 as y2 and -2 as y2

4 is x2 and 0 as x1

Slope is 1

now choose a point and plug it in for x and y and plug slope in Equation

I chose (4,2)

2=4+b

subtract 4 by both sides

-2=b

Slope Form

So... y=x-2 is the answer

Answer:

y - 2= -8(x - 1)

(I believe so)

Step-by-step explanation:

Since the formula of a point-slope form is y-y1=m(x-x1), you should just substitue the values into the formula.

(If needed simplified version : y-2=-8x+8)

Using translation concepts, the graph of (x - 1)² + 1 is given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, we consider the parent square root function given by:

y = x².

The shifted function is:

y = (x - 1)² + 1.

Which:

Both the parent function(in red) and the shifted function(in blue) are plotted in the graph given at the end of the answer.

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Answer:

A

Step-by-step explanation:

i pick that answer because u have yo flip the number around

The inverse of the function is:

f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}

Option C is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the inverse of the function, we need to switch the x and y variables, and then solve for y.

So, we start by writing the function in terms of y:

y = f(x) = {-2, 3, 8, 13} corresponding to x = {-1, 0, 1, 2}

Now we switch the x and y variables:

x = f(y) = {-2, 3, 8, 13} corresponding to y = {-1, 0, 1, 2}

Next, we solve for y:

For x = -2, y = -1

For x = 3, y = 0

For x = 8, y = 1

For x = 13, y = 2

Therefore,

The inverse of the function is:

f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}

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Answer:

The line x = 3 is simply a vertical line that passes through every single point where x is equal to 3.

One that is is parallel and passes through (-4, 7) will be in the same format, just with another number.  The given point has an x-coordinate of -4, so the line is:

x = -4

Answer:

Ryan: (100/13)(1/1,609.34)(3,600) =

17.21 miles per hour

Ryan is faster than Juan, by about 2.21 miles per hour

Answer:

it is too blury to read

Step-by-step explanation:

a. The researcher should expect each person to get 17 guesses correct under the null hypothesis that the person is guessing.

b. Person A has a smaller p-value because the person's number of successes is further to the hypothesized number of successes.

At the null hypothesis, it is tested if the person is guessing, that is, if the proportion is of 0.5, hence:

\(H_0: p = 0.5\)

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the person is not guessing, that is, if the proportion is different than 0.5, hence:

\(H_0: p \neq 0.5\)

Considering the tested proportion of 0.5, the expected number of correct guesses on the 34 trials is of:

0.5 x 34 = 17 correct guesses.

The test statistic is given by the equation presented as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters that are the same for each person are given as follows:

\(p = 0.5, n = 34\)

The sample proportions are given as follows:

Then the test statistics are given as follows:

Person A is farther from the mean due to the higher test statistical, hence it has a smaller p-value.

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The solution (with steps) and answer are included in the images below.

Best of Luck!

Answer:

-0.8, 0.2, 1.2, and 2.

Step-by-step explanation:

Use a graphing calculator.

Plz mark as Brainliest! :)

Expected frequencies must be equal for all groups is correct option.

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Step-by-step explanation:

you just have to put that value in place of x in the function.

don't be so lazy you a hole do it yourself