2x + 7 = 5x - 8 (x - 4)

Answer:

c

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The answer is x = 81.25

Step-by-step explanation:

The proportion used is 65/x = 80%/100%

The probability that a person who files for their first divorce is at most 32 years old is 0.7881 (or approximately 78.81%).

Probability is the likelihood or chance of an event occurring. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½

according to the question the average age of first divorce in the United States is 28, and that the standard deviation is 5. We are asked to find the probability that a person who files for their first divorce is at most 32 years old.

So Let X be the random variable representing the age at first divorce. Now X ~ N(28, 5²), where N represents the normal distribution.

Then ,to find P(X ≤ 32), which is the probability that a person's age at first divorce is at most 32 years old.

By using the standard normal distribution, we get standardize X as follows:

Z = (X - μ) / σ = (32 - 28) / 5 = 0.8

where μ is the mean of X and σ is the standard deviation of X.

Now, we can use a standard normal distribution table or calculator to find the probability that Z is less than or equal to 0.8:

P(Z ≤ 0.8) = 0.7881 (rounded to four decimal places)

Hence, the probability that a person who files for their first divorce is at most 32 years old is 0.7881 (or approximately 78.81%).

Learn more about Probability here

https://brainly.com/question/30034780

#SPJ1

Answer:0.7881

Step-by-step explanation:

The mean is μ=28, and the standard deviation is σ=5.

1. Open Excel and click on any empty cell. Click Insert function, fx.

2. Search for NORMDIST in the search for a function dialog box and click GO.

3. Make sure NORMDIST is on top in select a function. Then click OK.

4. In the function arguments of the NORMDIST function, enter 32 for X, 28 for Mean, 5 for Standard_dev, and TRUE for Cumulative.

Thus, the answer, rounded to four decimal places, is P(X<32)≈0.7881.

Answer:

180

Step-by-step explanation:

Every hour is 60 minutes. To find the total number of minutes she studied, you would have to multiply 3 x 60.

3 x 60 = 180

Answer: 180 minutes.

Step-by-step explanation: 3 hours is equal to 60+60+60 because there is 60 minutes in 1 hour so 60+60 is 120+60=180 therefore, she studied for 180 minutes.

The probability that one or more of the children is a carrier of the recessive allele is 0.988.

The probability that one or more of the children is a carrier of the recessive allele can be calculated using the binomial theorem. The binomial theorem states that the probability of a success in a given trial is the sum of all probabilities of success minus the probability of none of the successes.

For the given scenario, we can assume that the probability of each child being a carrier is 0.25 (since each parent is known to be a carrier). The probability of one or more of the children being a carrier is then\((1-0.25^4) = 0.988.\)

To calculate this, we first calculate the probability of none of the children being a carrier, which is \((1-0.25)^4 = 0.316\). We then subtract this from 1 to get the probability of one or more of the children being a carrier:\((1-0.25)^4 = 0.316\)

Therefore, the probability that one or more of the children is a carrier of the recessive allele is 0.988.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ4

what's

14,184

as a mixed number

3.

A = pi x r^2

48 = 3.141... x r^2

÷ by value of pi

15.278... = r^2

Square root the ans, to get r

Thus, R = 3.908..... So, radius is 3.9

2.

Circumference = pi x diameter

87. = 3.141... x d

÷ by value of pi

27.692............. = diameter

Radius is twice the diameter. So, divide diameter by 2 to find the radius.

27.692.....÷ 2 = 13.846...

Thus, radius is 13.8cm

Hope this helps!

The integer that will make the inequality true is  0 .

The integer is a real rational number which is neither a fraction nor a decimal. There are 3 types of integers , positive integer , negative integer or zero integer.

An inequality is used to represent the range of values of a particular variable.

Given inequality is of the form:

3(n + 1) > 5(n − 3)

to solve the inequality we will use the distributive property,

or , 3n + 3 > 5n - 15

Now we will bring the like terms together ,

or, 3n - 5n > -15 - 3

or, -2n > -18

or, -n > -9

Now we reverse the sign to complete the solution:

or , n< 9

Hence of the given options only S:{0} satisfies the inequality.

To learn more about inequality visit:

https://brainly.com/question/20383699

#SPJ1

Answer: 5km

Step-by-step explanation: 2cm=1 km

10cm divided by 2 is 5km

The correct answer is "Oy-axis" as it represents the line of reflection for triangle DEF to triangle D'EF.

To determine the line of reflection that maps triangle DEF to triangle D'EF, we can examine the coordinates of the corresponding vertices.

Given that E' is located at (10, 4) and the corresponding vertex E in triangle DEF is at (-10, 4), we can observe that the x-coordinate of E' is the negation of the x-coordinate of E.

This suggests that the line of reflection is the y-axis. A reflection across the y-axis results in a transformation where the x-coordinate of each point is negated while the y-coordinate remains the same.

Since "Oy-axis" indicates the line of reflection from triangle DEF to triangle D'EF, it is the appropriate response.

for such more question on triangle

https://brainly.com/question/1058720

#SPJ8

The most appropriate graph to visualize the information is a PIE CHART. The frequency bar graph makes an independent bar of each fruit each, while it is ideal, it is not easy to identify the total or percentage of each.

Both charts could be used to make a display of the information given.

The frequency bar graph makes an independent bar of each fruit each, while it is ideal, it is not easy to identify the total or percentage of each.

The pie chart could be used to represent a whole of the 100 fruits as a single circle and divides the circle into parts based on the number of fruit belonging to each type including their respective percentages.

Also, since the number of fruits/types are just 5, using a pie chart gives a more accurate and readable visual representation of the information.

Learn more about of frequency here

brainly.com/question/15952755

#SPJ4

Answer:

The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.

Step-by-step explanation:

hope this helped:)

brainliest for the brains........................

The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.

Here, we have,

The factors of 54 are the numbers, that can divide 54 completely or evenly. When a pair of factors are multiplied together to produce the 54, then they are said to be pair factors. The factors divide the number completely. Hence, these factors cannot be a fraction.

Factors of 54: 1,2,3,6,9,18,27 and 54

Factor pairs of the number 54 are the whole numbers which are not a fraction or decimal number.

To find the factors of a number, 54, we will use the factorization method.

To find factors of 54, we have to divide 54 by all natural numbers from 1 to 54.

54 ÷ 1 = 54

54 ÷ 2 = 27

54 ÷ 3 = 18

54 ÷ 6 = 9

To learn more on division click:

brainly.com/question/21416852

#SPJ6

Answer:

the domain for the function y=log(x+3) is (-3,oo).

The domain of the function y = log(x + 3) is (−3, +∞), or in interval notation, (−3, ∞).

The domain of the function y = log(x + 3) is the set of all possible values that x can take without making the expression undefined.

For the logarithmic function y = log(x), the argument of the logarithm (x in this case) must be greater than zero, otherwise the result is undefined.

So, to find the domain of y = log(x + 3), we need to solve the inequality x + 3 > 0, which gives x > -3.

Thus, the function y = log(x + 3) is (−3, +∞), or in interval notation, (−3, ∞) is the answer.

For more details regarding domain, visit:

https://brainly.com/question/29452843

#SPJ7

Answer:

The balance in the account after 3 years is approximately $2313.94.

Step-by-step explanation:

The formula for calculating the balance in a continuously compounded account is:

B = Pe^(rt)

Where:

B = balance

P = principal

e = Euler's number (approximately 2.71828)

r = annual interest rate (as a decimal)

t = time in years

Using the given values, we have:

P = $2000

r = 0.051 (5.1% expressed as a decimal)

t = 3

Plugging these values into the formula, we get:

B = 2000e^(0.051*3)

B = 2000e^(0.153)

B = $2313.94 (rounded to the nearest cent)

Therefore, the balance in the account after 3 years is approximately $2313.94.

The volume = Base × height = 12× 7 = 84 Cm³

Answer:

84

Step-by-step explanation:

Answer:

Step-by-step explanation:

The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

Learn more about the median here:

https://brainly.com/question/28060453

#SPJ1

Answer:

6 movies = 1st plan

7 movies = 1st plan

8 movies = Either is fine. (They're the same price)

9 movies = 2nd plan

10 movies = 2nd plan

Step-by-step explanation:

6 movies (1st plan) = 20 + 5 × 6

                               = 50 (less than 60 so it is cheaper)

7 movies (1st plan) = 20 + 5 × 7

                               = 55 (less than 60 so it is cheaper)

8 movies (1st plan) = 20 + 5 × 8

                               = 60 (same as 2nd plan so either is fine)

9 movies (1st plan) = 20 + 5 × 9

                               = 65 (more than 60 so 2nd plan is better)

10 movies (1st plan) = 20 + 5 × 10

                               = 70 (more than 60 so 2nd plan is better)

Answer:

y = 5/4x - 6

Step-by-step explanation:

First, put 4x + 5y= -45​ in y = mx + b form

4x + 5y= -45​

5y = -4x - 45

y = -4/5x - 9

So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4

To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b

y = mx + b

-11 = 5/4(-4) + b

-11 = -5 + b

-6 = b

Plug in b and the slope into y = mx + b

y = 5/4x - 6

So, the equation is y = 5/4x - 6

Answer:

-57.6=x

Step-by-step explanation:

-22.3= x/3-3.1
-19.2=x/3
-57.6=x

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

for such more question on placement

https://brainly.com/question/16927451

#SPJ8

Answer:

no solution

Step-by-step explanation:

With some linear expressions, like this one, that has an answer of 0 has no solution

There are 19 nickels, 15 quarters, and 18 dimes in the collection.

Let's assume that there are n number of nickels in the collection.There are four fewer quarters than nickels, so the number of quarters will be n - 4.

There are 3 more dimes than quarters, so the number of dimes will be (n - 4) + 3 = n - 1.

The value of each nickel is $0.05, the value of each dime is $0.10, and the value of each quarter is $0.25.Using this information, we can form the following equation to represent the total value of the collection:

0.05n + 0.10(n - 1) + 0.25(n - 4) = 6.5Simplifying this equation, we get:0.05n + 0.10n - 0.10 + 0.25n - 1 = 6.50.40n - 1.10 = 6.50

Adding 1.10 to both sides, we get:0.40n = 7.60Dividing both sides by 0.40, we get:n = 19

Therefore, there are 19 nickels in the collection.There are four fewer quarters than nickels, so the number of quarters will be n - 4 = 19 - 4 = 15.

There are 3 more dimes than quarters, so the number of dimes will be (n - 4) + 3 = 15 + 3 = 18.

To learn more about : collection

https://brainly.com/question/13458417

#SPJ8

The tangent ratio is an illustration of the trigonometry identity

The value of x that is not a solution of tan(x) = 1 is 3\(\pi\)/4

The trigonometry identity is given as:

tan(x) = 1

Next, we test the x values using a calculator.

When \(x = -7\pi/4\), we have:

tan(-7\(\pi\)/4) = 1

When x = 3\(\pi\)/4, we have:

tan(3\(\pi\)/4) = -1

When x = 5\(\pi\)/4, we have:

tan(5\(\pi\)/4) = 1

When x = \(\pi\)/4, we have:

tan(\(\pi\)/4) = 1

Hence, the value of x that is not a solution of tan(x) = 1 is 3\(\pi\)/4

Read more about trigonometry identity at:

https://brainly.com/question/7331447

Answer:

\(10p {}^{2} - 5p + 6 + \frac{ - 9}{p - 4} \)

Step-by-step explanation:

10p²-5p+6

p-4√10p³-45p²+26p-33

- 10p³-40p²

-5p²+26p

- -5p²+20p

6p-33

- 6p-24

-9

Answer:

0.87

Step-by-step explanation:

The angles of rotation for a regular pentagon are:

A Regular Pentagon has five equal sides and five equal angles.

Since the sum of the interior angles of a polygon with n sides is given as:

(n-2) x 180°, then we have:

(5-2) x 180 = 540°.

Note that n = sides of pentagon which is 5

Since all angles in a regular pentagon are equal, each angle measures (540/5) = 108°.

The angles of rotation for a regular polygon are given by the formula 360/n, where n is the number of sides.

Therefore, the angles of rotation for a regular pentagon is:

360/5 = 72°,

Any other angles will be in the multiple of 72. Therefore we have:

Note that a full rotation is 360°.

Learn more about pentagon here:

https://brainly.com/question/858867

#SPJ1

The number of different committees that can be formed is 495

From the question, we have the following parameters that can be used in our computation:

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

Read more about combination at

https://brainly.com/question/11732255

#SPJ1