round 79.6 to the nearest whole number
​

Answer:

A. 150 miles

B. 200 miles further

Step-by-step explanation:

Multiply 30 by 5 to find how far he traveled the first day

30 x 5 = 150 miles

For the second day, convert km to miles by making a proportion

\(\frac{5}{8}\) = \(\frac{x}{560}\)

x = 350 miles

Then, to find the difference, subtract the 350 - 150 = 200

the probability that all 36 problems in the homework will be completed in less than 180 minutes

P(∑\(\left \{ {{i=36} \atop {i=1}} \right.\) \(X_{i}\) < 180) = P(X<5) = P(Z<-1) = ∅(-1)

given that

there are 36 independent problems

mean(μ) = 6minutes

standard deviation(σ) = 3 minutes

sample standard deviation = σ/\(\sqrt{n}\)

 = 3/\(\sqrt{36}\)

 =3/6

 =0.5

the sample mean x of 36 questions answering time approximately follows a normal distribution with mean 6 minutes and sample standard deviation is 0.5 minutes

now we need to find the probability that all 36 problems in the homework will be completed in less than 180 minutes

P(∑\(\left \{ {{i=36} \atop {i=1}} \right.\) \(X_{i}\) < 180) = P(X<5) = P(Z<-1) = ∅(-1)

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The correct answer is option (a) 0.274 percentage points.

In the given expression, Pr(deny = 1| P/I Ratio, black) = φ(–2.26 + 2.74P/I ratio + 0.71black), the effect of increasing the P/I ratio from 0.3 to 0.4 for a white person is 2.74 percentage points.

The given expression is a logistic regression model that shows the relationship between the probability of being denied a loan (dependent variable) and P/I Ratio and black (independent variables).

The coefficient value for P/I Ratio is 2.74. It means that if we increase the P/I Ratio by one unit, then the probability of being denied a loan will increase by 2.74 percentage points.

Therefore, the increase from 0.3 to 0.4 will cause an increase of 2.74 * 0.1 = 0.274 or 0.27 percentage points.

Hence, the correct option is (a) 0.274 percentage points.

Regression R2 is not required to interpret the effect of increasing the P/I Ratio from 0.3 to 0.4 for a white person in the given expression.

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The length of arc PR to the nearest hundredth is 7.15 units

The formula for calculating the length of an arc is expressed as:

L = r theta

Given the following parameters

r = PQ = 5 units

theta = <PQR = 82π/180 rad

Substitute to have:

L = 5 * 82π/180 rad

L = 7.15 units

Hence the length of arc PR to the nearest hundredth is 7.15 units

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Answer: The answer is 7.16.

Answer:

Step-by-step explanation:

Use Pythagorean to work out the side length.

The perimeter is:

Answer:

102 cm is the perimeter of the rhombus

Answer:

I think it's either 7 but try your best and have a great day

I'll do problems 2 through 6 to get you started.

=================================================

Problem 1

You have the correct answer. You add the take home pay of his first job (504.64) to the amount he earns on his second job (40) to get 541.64 as his net monthly income.

=================================================

Problem 2

Add up any dollar amount that's leaving his pocket. Only focus on expenses that occur monthly. So we will ignore the one time payment of getting that theme park ticket, and we'll also ignore any gifts he buys.

In the second paragraph of the info you're given, all of the expenses we need are here. He has car insurance (110), gas and maintenance (65), and a cell plan (30). In total, his monthly expenses are 110+65+30 = 205 dollars per month.

=================================================

Problem 3

Subtract the net monthly income (problem 1) and the expenses (problem 2) to get the amount of discretionary spending he has

541.64 - 205 = 336.64

This value is a positive number, so that means he has money to do whatever he wants with it such as buying that park ticket or buying those gifts.

=================================================

Problem 4

His short-term goals are to buy the Six Flags ticket, and buy gifts for his friends and family. He also wants to buy an e-reader for himself.

These are all short-term goals as they are in a relatively short time window of less than a year.

Add up those values to get

135+200+80 = 415

So his short-term goals will cost a total of $415

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Problem 5

His long-term goals are saving up for college to pay for tuition and books. As the instructions say, long-term goals are ones that you need more than a year in advance to plan for. This is because the expense is much greater compared to those various short-term goal items.

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Problem 6

Subtract 135 from the net monthly income you calculated in problem 1

541.64 - 135 = 406.64

Answer:

C

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

If you look at the other ratios you can see a common pattern.

The top and the bottom have been multiplied by the same number.

Example: 1/2 and 7/14. Both 1 and 2 were multiplied by seven to make a true proportion.

So answer C was the only one that wasn’t multiplied by the same number.

Answer:

E(m) = 2,000 + 0.15(m + 20,000)

Step-by-step explanation:

The function calculates his monthly earnings E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.

Given that, Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000.

We need to calculate his monthly earnings (E) as a function of m, his monthly sales.

The composition of a function is an operation in which two functions say f and g generate a new function say h in the sort of manner that h(x) = g(f(x)). It method right here characteristic g is carried out to the characteristic of x. So, basically, a feature is implemented to the end result of another feature.

Now, the function for the given situation is E(m) = 2,000 + 15(m - 20,000).

The function is E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.

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The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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Check the picture below.

The intersection of two planes will always form exactly one line when they intersect.

Planes

A planes is the geometrical concept of a flat surface with no edges or thickness.

Some examples of plane figures are lines, rectangles, circles, and triangles.

Given,

Here we have the following statements.

The planes will always form two lines when they intersect.

The planes will sometimes form two lines when they intersect.

The planes will always form exactly one line when they intersect.

The planes will intersect at exactly one point.

Here we need to find the statement best describes the intersection of two planes

According to the concept of the two planes intersection,

"If two planes intersect with each other, then the intersection will always be a line."

Similarly, "If the planes don't intersect, then they are parallel."

So, based on this definition we have identified that, if the two planes are intersect, then it will form exactly one line.

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Answer:

sorry im not so sure about the anwer.

Step-by-step explanation:

...........

Well knowing that around

at age 40 giving birth to a child with down syndrome is about 46% or 47%

but at age 45 I'm pretty sure it's 3%

Hope this helps!

Answer:

The polygon has 9 sides (a regular nonagon).

Step-by-step explanation:

Angles in a Regular Polygon

A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that each angle (in a regular polygon) measures

\(\displaystyle \frac{180(n-2)}{n}\)

The regular polygon used by Dina for the logo is such that each interior angle measures 140°, thus:

\(\displaystyle \frac{180(n-2)}{n}=140\)

Multiply by n:

\(180(n-2)=140n\)

Operate:

\(180n-360=140n\)

Reducing:

\(40n=360\)

Solving:

n=9

The polygon has 9 sides (a regular nonagon).

The value of r and x in the common ratio of geometric progression is 5/3 and - 3/5

what is Geometric progression ?

Each succeeding term in a sequence known as a geometric progression (GP) is created by multiplying each term in the sequence before it by a fixed number known as a common ratio.

Solution;

we have two equations

r = 6/(3-x)----- [1]

r = (7-5x)/6----- [2]

6/(3-x) = (7-5x)/6

36 = 21 - 22x + 5x^2

5x^2 - 22x - 15 = 0

This can be factored as (5x+3)(x-5) = 0. The two solutions common ratio are x = -3/5, x = 5.

But, x=5 gives r<0, so we choose the 1st solution, x = -3/5.

Substitute in [1] to get he value for r:

r = 6/(3--3/5) = 6/(18/5) = 5/3.

Ans: r = 5/3, x = -3/5

Therefore, The value of r and x in the common ratio of geometric progression is 5/3 and - 3/5.

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Answer:

X is -3

Step-by-step explanation:

3 times 2x is 6x

3 times 4 is 12

so 6x + 12 = -6

-3 times 6 is -18.

So -18 + 12= -6

Answer:

B

Step-by-step explanation:

(48x-50y)-(35x-5y)

48x-50y-35x+5y

13x-45y

Answer:

9

Step-by-step explanation:

Summary: The range of a set of data is difference between the highest and lowest values. To find the range, first order the numbers from least to greatest. Then subtract the smallest value from the largest value in the set.

A definite integral is defined as the signed area under a function between certain limits (bounds) of integration.

An indefinite integral represents the family of antiderivatives of a function and is also known as its general integral or antiderivative.

An indefinite integral represents the family of antiderivatives of a function and is also known as its general integral or antiderivative. An indefinite integral does not have specific limits of integration; its result includes a constant of integration (usually denoted +C), which accounts for all possible constant shifts within its antiderivative.

A definite integral is defined as the signed area under a function between certain limits (bounds) of integration. The real number that represents its net area between it and x-axis during an interval.

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The statement "Decisions can never be made without the benefit of knowledge gained from sampling" is false.

Sampling refers to the process of selecting a subset of data from a larger population to make inferences about that population. While sampling can be useful in some decision-making contexts, it is not always necessary or appropriate.

In many decision-making situations, there may not be a well-defined population to sample from. For example, a business owner may need to decide whether to invest in a new product line based on market research and other available information, without necessarily having a representative sample of potential customers.

In other cases, the costs and logistics of sampling may make it impractical or impossible.

Additionally, some decision-making approaches, such as decision tree analysis, rely on modeling hypothetical scenarios and their potential outcomes without explicitly sampling from real-world data. While sampling can be a valuable tool in decision-making, it is not a requirement and decisions can still be made without it.

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The solution is shown below:

In addition to two-way selection, most programming languages provide another selection concept known as multiway selection. Multiway selection chooses among several alternatives. C has two different ways to implement multiway selection: the switch statement and else-if construct.

Given condition:

adds 1 to minors if age is less than 18, adds 1 to adults if age is 18 through 64 and adds 1 to seniors if age is 65 or older.

if age < 18:

   minors += 1

else if age < 65:

   adults += 1

else:

   seniors += 1

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Answer:

Step-by-step explanation:

-24, 24, 48, 72

Hope this helps :)

Answer:

Step-by-step explanation:

C because it is given that from 0 to (a,0) only need steps and similarly with b only need b amount of steps to reach (0, b). Therefore to reach point P, you just need (a, b).

Answer:

There two images below,

one is the final product and one of how it was reflected

If a is an invertible n×n matrix, the eigenvalues of a and its inverse a−1 are related in the following way:

1. The eigenvalues of a and a−1 are reciprocals of each other. This means that if λ is an eigenvalue of a, then 1/λ is the corresponding eigenvalue of a−1.

To understand this, let's consider an example:

Suppose a is a 2x2 invertible matrix with eigenvalues λ1 and λ2. If we find the inverse of a, denoted as a−1, its eigenvalues will be 1/λ1 and 1/λ2.

2. For a more general case, let's consider raising a to an arbitrary integer power m. The eigenvalues of a and am are related as follows:

- If λ is an eigenvalue of a, then λ^m is an eigenvalue of am.

Let's illustrate this with an example:

Suppose a is a 2x2 invertible matrix with eigenvalues λ1 and λ2. If we raise a to the power of m, denoted as am, its eigenvalues will be λ1^m and λ2^m.

In summary, when a is an invertible n×n matrix, the eigenvalues of a and a−1 are reciprocals of each other. Moreover, raising a to an arbitrary integer power m results in the eigenvalues of am being the eigenvalues of a raised to the power of m.

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Answer:

7

Step-by-step explanation:

Answer:

Sam's is 7in shorter

Step-by-step explanation:

\(10-3=7\)

Answer:

Distance-Rate-Time and other Products

In this lesson, we will investigate the relationship between the distance traveled, the rate or speed or travel, and the time that it takes to travel that distance at that rate. We will also look at a few other related products.

Distance = (Rate)(Time)

The equation that relates distance, rate, and time is

d = rt

Where d is the distance traveled, r is the rate, and t is the time. On the CAHSEE exam, you will be given two of these and will be asked to use the above equation to find the third.

Example 1

It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?

Solution

We are given that it takes 1/2 an hour for the trip. This is a time:

t = 1/2

We are given that he averages 34 miles per hour. This is a rate:

r = 34

We are asked how few he has traveled. This is a distance. We use the d=rt equation:

d = rt

= (34)(1/2)

= 17

Markus lives 17 miles from work.

Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.

Exercise 1

The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?

9 miles

Example 2

Elena always rides her bicycle at a speed of 15 miles per hour. On Sunday, she goes on a 24 mile bike ride. How many hours does this ride take?

Solution

The speed of 15 miles per hour is a rate. The key words that tell us that this is a rate are "speed" and "miles per hour". We can write:

r = 15

Next, 24 miles is a distance. We have:

d = 24

Now use the d=rt equation to get

24 = 15t

To solve this, divide both sides by 15 to get

t = 24/15

Both are divisible by 3, so this fraction reduces to

t = 8/5 = 1.6

Elena's ride takes 1.6 hours.