The length of a cell phone is 1.41.4 inches and the width is 4.44.4 inches. The company making the cell phone wants to make a new version whose length will be 1.751.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This 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.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that \(p = 0.304\)

100 such adults

This means that \(n = 100\)

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

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

\(P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803\)

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

If the population of hamden was 350,000 in 1990. by 2000, the population had decreased to 329,000. The  percent of decreased is 6%.

To find the percent decrease, we first need to find the difference between the two populations:

Difference = 350,000 - 329,000

Difference = 21,000

Second step is to divide the difference by the original population and multiply by 100 to find the percentage:

Percent of decreased = (21,000 / 350,000) * 100

Percent of decreased = 6%

Therefore  the population of Hamden decreased by 6% between 1990 and 2000.

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The complete question is:

the population of hamden was 350,000 in 1990. by 2000, the population had decreased to 329,000. what percent of decreased is this?​

Answer:

Step-by-step explanation:

Use a^2 + b^2 = x^2

a = 15

b = 20

15^2 + 20^2 = x^2

225 + 400 = x^2

x^2 = 625       Take the square root of both sides.

√x^2 = √625

x = 25

Answer:

B. 46.

Step-by-step explanation:

First we set up the equation A(n)=-172 and substitute the given equation for A(n), giving us -172=8+(n-1)(-4). Simplifying, we get -180=(-4n+12), or -4n=-192, or n=48. However, n represents the number of terms in the sequence, and since the sequence starts with n=1, we need to subtract 1 from our answer to get the term number corresponding to A(n)=-172. Therefore, the answer is B) 46.

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Answer:

hi

Step-by-step explanation:

\(3x - 2 + 2x - 2 + x + 6 + 4x = 10x + 2\)

Multiplying by 1 keeps it the same. A number greater than 1 would be an increase and a number below 1 would be a decrease.

The decrease is 2.7% which is written as 0.027 as a decimal.

Subtract that from 1:

1 - 0.027 = 0.973

The multiplier would be 0.973

The scientific notation of the given number is 1.24×10⁻⁶.

The given number is 0.00000124.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Here, 0.00000124=1.24×10⁻⁶.

Therefore, the Scientific notation of the given number is 1.24×10⁻⁶.

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The equation of each line that satisfies the given conditions are:

1. y - 2 = 5/2(x - 3)

2. y - 4 = m(x + 3)

3. y = -3x + 5

1. Given the points, (3, 2) and (5, 7), find the slope (m):

Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)

m = 5/2

Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):

y - 2 = 5/2(x - 3)

2. Given:

A point = (-3, 4)

Slope (m) = 2

Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):

y - 4 = m(x + 3) [equation of the line]

3. Given:

Slope (m) = -3

Y-intercept (b) = 5

Substitute m = -3 and b = 5 into the equation y = mx + b:

y = -3x + 5

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Answer:

0.125%

Step-by-step explanation:

To find the percentage, just move the decimal place two places.

Answer:

Answer is c or 0.0104.

Step-by-step explanation:

12.5/12= 1.04...

1.04/100= 0.0104

Answer:

Where is it ?

Step-by-step explanation:

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

The heat of formation of HC₂H₃O₂ can be found using thermochemical data given. The heat of formation is energy released or absorbed in the formation of compound from its elements in their most stable states.

To calculate the heat of formation for acetic acid (HC₂H₃O₂), the following thermochemical data can be used:

- Heat of formation of carbon (C) = -394.36 kJ/mol

- Heat of formation of hydrogen (H) = +218.79 kJ/mol

- Heat of formation of oxygen (O) = -249.21 kJ/mol

The equation for the heat of formation of acetic acid is as follows:

HF(HC₂H₃O₂) = 2 x (heat of formation of hydrogen) + 1 x (heat of formation of carbon) + 3 x (heat of formation of oxygen)

Plugging in the values, we get:

HF(HC₂H₃O₂)= 2 x 218.79 + 1 x -394.36 + 3 x -249.21

Therefore, the heat of formation of acetic acid is -824.93 kJ/mol.

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Answer:

m= 0, -0.2

Step-by-step explanation:

that's what I got when I did it

Answer:

Step-by-step explanation:

200m^4 + 80m^3 + 8m^2 = 0

~Factor

8m²(5m + 1)(5m + 1) = 0

~Set everything to equal 0 and solve

8m² = 0 → m² = 0 → m = 0

5m + 1 = 0 → 5m = -1 → m = -1/5

5m + 1 = 0 → 5m = -1 → m = -1/5

Best of Luck!

Answer:

The set of ordered pairs that does not represent a function is {(6, -9) (-3, 6) (-3, 7) (-9, -2)}

I hope this helps you. :)

9514 1404 393

Answer:

Step-by-step explanation:

1. The horizontal asymptote is the y-value the function approaches, but does not reach. That value is y = 0. This equation is the equation of that asymptote.

__

2. The domain is the horizontal extent of the graph. It covers "all real numbers." (A)

__

3. The range is the vertical extent of the graph. As we said in part 1, the value y = 0 is never reached, so the vertical extent (range) is y > 0 (E).

__

4. The graph extends upward indefinitely as x extends to the left indefinitely. That is, y → infinity.

The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.

In this problem we know the three vertices of a triangle on a Cartesian plane and we must determine the coordinates of its image by applying rigid transformations. According to the statement, the vertices of the image are obtained by applying a translation formula:

P'(x, y) = P(x, y) + T(x, y)        (1)

Where:

If we know that P(x, y) = (2, - 4), Q(x, y) = (4, - 5), R(x, y) = (7, - 2) and T(x, y) = (- 6, 3), then the coordinates of the vertices of the image are:

P'(x, y) = (2, - 4) + (- 6, 3)

P'(x, y) = (- 4, - 1)

Q'(x, y) = (4, - 5) + (- 6, 3)

Q'(x, y) = (- 2, - 2)

R'(x, y) = (7, - 2) + (- 6, 3)

R'(x, y) = (1, 1)

The coordinates of the triangle P'Q'R' is P'(x, y) = (- 4, - 1), Q'(x, y) = (- 2, - 2) and R'(x, y) = (1, 1), respectively.

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The future value formula, given by

Can be used to obtain the Principal by substituting other values into the equation and solving for P

Step 1: List out the parameters given

FV =$8,700

r=7%=0.07

n=4 (since there are 4 quarters in a year)

t=6 (since it will be compounded 6 times a year)

Step 2: Substitute the values into the formula

Solving for P

P=$5737.11

Option B is correct

Answer:

Option (4)

Step-by-step explanation:

Let the equation of the linear function is,

f(x) = mx + b

where m = slope of the line

b = y - intercept

Since slope of a line passing through two points \((x_1, y_1)\) and \((x_2,y_2)\) is defined by,

m = \(\frac{y_2-y_1}{x_2-x_1}\)

Slope the line passing through (0, 6) and (3, 0),

m = \(\frac{6-0}{0-3}\)

m = -2

y-intercept given in the graph 'b' = -6

Therefore, linear function will be,

f(x) = -2x - 6

Option (4) will be the answer.

Answer: f(x)=-2x-6

Step-by-step explanation:

just took it

Answer:

Genotype: 100% rr
phenotype: 100% white

Step-by-step explanation:

since there are no dominant genes the cross will definitely be a rr genotype

Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).

To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.

With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.

Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.

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Answer:

6 m

Step-by-step explanation:

Side = x

Surface area = \(6x^2\)

\(6x^2 = 216\)

\(x^2 =36\)

x = 6

The answer is 6m

Hope this helps :)

Have a nice day!

The side length of the cube is calculated as 6m

Data;

The surface area of a cube is given as

\(A = 6x^2\)

This indicates all the six sides in the cube.

Let's substitute the values and solve for x

\(A = 6x^2\\216 = 6x^2\\\frac{216}{6} =\frac{6x^2}{6} \\x^2 = 36\\x= \sqrt{36} \\x = 6\)

The side length of the cube is calculated as 6m

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Answer:

thw answer is 8

Step-by-step explanation:

hoped I helped

Answer For the question:

8

The blood platelet count is an illustration of normal distribution,

Approximately 95% of the data lies within 2 standard deviations of the mean.

There are approximately 99.7% of women with platelet count between 65.2 and 431.8.

Given parameters are:

μ = 248.5

σ = 61.1

(a) The percentage within 2 standard deviation of mean or between 126.3 and 370.7,

Start by calculating the z-score, when x = 126.3 and x = 370.7

Z = x-μ / σ

Therefore,

Z = 126.3-248.5/61.1

Z = -2

Also,

Z = 370.7-248.5/61.1

Z = 2

The empirical rule states that:

Approximately 95% of the data lies within 2 standard deviations of the mean.

Hence, there are approximately 95% of women with platelet count within 2 standard deviations of the mean.

(b) The percentage with platelet count between 65.2 and 431.8

Start by calculating the z-score, when x = 65.2 and x = 431.8

Z = 65.2-248.5/61.1

Z = -3

And,

Z = 431.8-248.5/61.1

Z = 3

The empirical rule states that:

Approximately 99.7% of the data lies within 3 standard deviations of the mean.

Hence, there are approximately 99.7% of women with platelet count between 65.2 and 431.8.

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Using a numerical solver or iterative method, we can find that n is approximately 217.92 months. Rounded to two decimal places, this is 217.92 months.

How funds are calculated ?

The calculation of funds depends on various factors, such as the amount of money available, the interest rate, the length of time the money is invested, and any additional contributions or withdrawals made during the investment period.

We can start by using the future value formula to find the value of the trust fund in 30 years when your client turns 65. Let F be the future value of the trust fund, P be the present value of the trust fund, r be the interest rate, and n be the number of years:

F = P * (1 + r)^n

In this case, P is $1.19 million, r is 4.0% per year, and n is 30 years. Plugging these values into the formula gives:

F = $1,190,000 * (1 + 0.04)^30

F = $1,190,000 * 2.2084

F = $2,628,996

So the value of the trust fund when your client turns 65 will be $2,628,996.

Now we can use the present value formula to find how long the trust fund will last once your client starts to withdraw $20,500 per month. Let P be the present value of the trust fund, PMT be the monthly withdrawal amount, r be the monthly interest rate (which is 4.0% divided by 12), and n be the number of months:

P = PMT * ((1 - (1 + r)^-n) / r)

We want to find the value of n that makes P equal to $2,628,996 (the value of the trust fund when your client turns 65). Plugging in the values we know gives:

$1,190,000 = $20,500 * ((1 - (1 + 0.04/12)^-n) / (0.04/12))

Simplifying this equation requires some algebraic manipulation. We can start by multiplying both sides by (0.04/12):

$1,190,000 * (0.04/12) = $20,500 * ((1 - (1 + 0.04/12)^-n) / (0.04/12))

Simplifying further, we can multiply both sides by (1 + 0.04/12)^n:

$1,190,000 * (0.04/12) * (1 + 0.04/12)^n = $20,500 * (1 - (1 + 0.04/12)^-n)

Dividing both sides by $20,500:

($1,190,000 * (0.04/12) * (1 + 0.04/12)^n) / $20,500 = 1 - (1 + 0.04/12)^-n

Subtracting 1 from both sides:

1 - ($1,190,000 * (0.04/12) * (1 + 0.04/12)^n) / $20,500 = (1 + 0.04/12)^-n

Taking the natural logarithm of both sides:

ln(1 - ($1,190,000 * (0.04/12) * (1 + 0.04/12)^n) / $20,500) = -n * ln(1 + 0.04/12)

Now we can solve for n:

n = (ln(1 - ($1,190,000 * (0.04/12) * (1 + 0.04/12)^n) / $20,500)) / (-ln(1 + 0.04/12))

Using a numerical solver or iterative method, we can find that n is approximately 217.92 months. Rounded to two decimal places, this is 217.92 months.

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Answer:

They both hike 2 miles in 1 hour

Step-by-step explanation:

Jeff hikes 4 miles in 2 hours. so that means in 1 hour he hikes 2 miles. Lisa hikes the same amount of miles in an hour as Jeff