What would be the slope for a line passing through the two points below?

Point 1: (1, 0.1) Point 2: (7, 26.8)

Answer:

discount=25%

selling price=$449

original price=?

Step-by-step explanation:

we have

original price=selling price + discount% of original price

original price-discount% of original price=$449

original price (1-25/100)=$449

original price=$449/0.75=$598.66

Answer:

y = 2 double check by plugging in the answer

Answer:

3

Step-by-step explanation:

To figure out y, you make x equal to zero, leaving -5y = -15. Then you just divide both sides by -5 to get y by itself, leaving y = 3.

The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800

Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.

Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.

The inequality that represents the situation becomes as;

25x + 65y ≤ 800

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Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Answer:

X= 1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

It takes Layla 45 minutes to make 9 bracelets on her own.

45 divided by 9 equals 5. It takes Layla 5 minutes to make one bracelet.

Layla and Amelia can make 9 bracelets in 20 minutes.

20 divided by 9 equals 2 and 2/9.

5 - 2 2/9= 2 7/9

2 7/9 times 9 equals 25

Amelia can make 9 bracelets in 25 minutes

So it takes Layla 56 minutes to make 9 ( 45 divided by 9 = 5) so that means in 20 minutes Layla will make 4 bracelets.

this means it will piece together as Layla would make 4 while Amelia makes 5. So i think on Amelia's own it'll take her 40 minutes.

so sorry if i'm wrong :(

a) Approximately 77.94% of possums have heads less than 95.4 mm.

b) Approximately 96.93% of possums have heads more than 85.8 mm.

c) Approximately 74.93% of possums have heads between 85.8 and 95.4 mm.

d) The maximum head length of the shortest 10% of possum heads is approximately 87.68 mm.

a) We can use the normal distribution to answer this question. Let X be the head length of a brushtail possum. Then X has a normal distribution with mean μ = 92.6 mm and standard deviation σ = 3.6 mm. We want to find P(X < 95.4 mm).

Using the standard normal distribution table or a calculator, we can find the z-score corresponding to a head length of 95.4 mm:

\(z = \frac{(95.4 - 92.6)}{3.6} = 0.78\)

Then, using the standard normal distribution table, we can find the probability that a standard normal variable is less than 0.78:

P(Z < 0.78) = 0.7794

Therefore, approximately 77.94% of possums have heads less than 95.4 mm.

b) Again, using the normal distribution with mean μ = 92.6 mm and standard deviation σ = 3.6 mm, we want to find P(X > 85.8 mm).

Finding the corresponding z-score:

\(z = \frac{(85.8 - 92.6)}{3.6} = -1.89\)

Using the standard normal distribution table, we find:

P(Z > -1.89) = P(Z < 1.89) = 0.9693

Therefore, approximately 96.93% of possums have heads more than 85.8 mm.

c) To find the percentage of possums with heads between 85.8 and 95.4 mm, we can subtract the probability of heads less than 85.8 mm from the probability of heads less than 95.4 mm:

P(85.8 < X < 95.4) = P(X < 95.4) - P(X < 85.8)

Using the same calculations as in parts (a) and (b), we get:

P(85.8 < X < 95.4) = 0.7794 - 0.0301 = 0.7493

Therefore, approximately 74.93% of possums have heads between 85.8 and 95.4 mm.

d) We want to find the maximum head length of the shortest 10% of possum heads. This is equivalent to finding the 10th percentile of the distribution. Using the normal distribution with mean μ = 92.6 mm and standard deviation σ = 3.6 mm, we want to find the head length x such that P(X < x) = 0.1.

Using the standard normal distribution table or a calculator, we can find the z-score corresponding to the 10th percentile:

P(Z < z) = 0.1

z = -1.28

Then, we can find the corresponding head length x:

x = μ + zσ = 92.6 + (-1.28)(3.6) = 87.68

Therefore, the maximum head length of the shortest 10% of possum heads is approximately 87.68 mm.

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Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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Making x the subject of the formula in this equation 4y = 4x - 6z/6 gives x = (24y + 6z)/4.

In this exercise, you are required to make "x" the subject of the formula in the given mathematical expression by using the following steps.

By multiplying both sides of the mathematical expression by 6, we have the following:

4y = (4x - 6z)/6

6 × 4y = (4x - 6z)/6 × 6

24y = 4x - 6z

By adding "6z" to both sides of the mathematical expression, we have the following:

24y + 6z = 4x - 6z + 6z

24y + 6z = 4x

By dividing both sides of the mathematical expression by 4, we have the following:

x = (24y + 6z)/4

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Answer:

462

Step-by-step explanation:

(11)C(6) = 11! ÷ 6! 5!

= (11 x 10 9 x 8 x 7) / (5 x 4 x 3 x 2)

= 462

Answer:

20

Step-by-step explanation:

it is because its a even number XD

Answer: b. 14

Step-by-step explanation:

quiz on edge 2020

A test is worth 140 points. Ten percent of those points are from one short-answer question. How many points is the short-answer question worth?

14 points :D

Answer: Skewed left, no outlier

Step-by-step explanation: You use the IQR and quartile 1&3 to find the number that defines an outlier. And for this one there are none

Answer:

28 inches

Step-by-step explanation:

the answer is 28 inches

12+16= 28

Number of snow snowed in January = 12 inches

Number of snow snowed this week = 16 inches

Number of snow snowed at all = 12+16

= 28 inches

hence it snowed 28 inches at all

Answer: -2x

Step-by-step explanation:

4x+(-6x)

When there is a + in front of an expression in a parentheses, the expression remains the same.

4x-6x

Collect like terms

-2x

The distance traveled by airplane is 180 miles.

The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°

The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.

Then, the total distance traveled by airplane will be:

= 100 miles + 80 miles = 180 miles.

The speed can be defined as the distance traveled by the total time taken.

Speed = distance/time

Speed = 180 miles/ 1 hour

Speed = 180 miles/60 minutes

Speed = 3 miles per minute

The angle of direction from its origin will be:

tan (x) = 100 miles/80 miles

x = tan⁻¹ ( 100/80)

x = tan⁻¹ ( 10/8) =  tan⁻¹ ( 5/4)

x = 51.34°

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The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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Answer:

0.9986 = 99.86% probability that you win less than 40

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\).

The probability of winning a slot machine is 5% and you are going to play 500 pulls.

This means that \(p = 0.05, n = 500\)

Mean and Standard deviation:

\(\mu = E(X) = np = 500*0.05 = 25\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.05*0.95} = 4.8734\)

What’s the probability that you win less than 40?

Using continuity correction, this is P(X < 40 - 0.5) = P(X < 39.5), which is the pvalue of Z when X = 39.5. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{39.5 - 25}{4.8734}\)

\(Z = 2.98\)

\(Z = 2.98\) has a pvalue of 0.9986

0.9986 = 99.86% probability that you win less than 40

The value of rate does he need to invest at in order to earn the $400 in interest is,

⇒ R = 4%

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Mr. Smith needs to earn $400 in interest on a $5000 investment.

And,  He can invest the money for two years.

Since, We know that;

Interest = PRT / 100

Substitute the given values, we get;

400 = 5000 × R × 2/100

⇒ 40,000 = 10,000R

⇒ R = 4

Thus, The value of rate does he need to invest at in order to earn the $400 in interest is,

⇒ R = 4%

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Answer:

Faces = 6

Vertices = 8

Edges = 12

Step-by-step explanation:

In a solid geometric shape :

         A face is a flat surface : faces = 6

         A vertex (plural: vertices) is a Corner : vertices = 8

         An edge is a particular type of line segment joining

                                                          two vertices : Edges = 12

Please find attached

thank you

The area of Integral is 19 sq units.

An integral in calculus is a mathematical concept that can be used to represent an area or an expanded version of an area. The basic components of calculus are integrals and derivatives. The terms antiderivative and primal are additional terms for integral.

In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or a new function, the derivative of which is the original function (indefinite integral).

Given:

∫ 3 0 | 8 x − 10 | d x

Now, the graph touches the x axis  

when 8x- 10 = 0

x= 10/8

x= 5/4

and, When x = 0, y = 10.

So, the limit range will be x = 0 to x = 5/4.

Now, Area of First triangle

= 10 x 5/4 x 1/2

= 25/4

and, Area of second triangle

= 14 x (3- 10/8) x 1/2

= 7 x 7/4

= 49/4

Hence, the total Area = 25/4 + 49/4 = 19 sq. units

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Answer:

-x^2+2x-3

Step-by-step explanation:

(x^2 - 3x) + (-2x^2 + 5x - 3)

Combine like terms

-x^2+2x-3

Answer:

The fourth answer

Step-by-step explanation:

What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3

The fourth answer

Answer:

there is not enough information because x and 55 are parrallel, not congruent.

Step-by-step explanation:

The equation of the line in fully simplified slope-intercept form is y = x + 7.

We have,

From the graph,

The coordinates of the line are:

(0, 7), (-7, 0), and (-2, 5).

We can use any coordinates the line touches on the graph.

We will use,

(0, 7) and (-7, 0)

The equation can be written in the form y = mx + c

m = (0 - 7) / (-7 - 0)

m = -7/-7

m = 1 ______(1)

And,

(0, 7) = (x, y)

So,

y = mx + c ______(2)

7 = 1 x 0 + c

7 = c

c = 7 ______(3)

Now,

From (1), (2), and (3).

y = x + 7

Thus,

The equation of the line in fully simplified slope-intercept form is y = x + 7.

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Answer:

10+5x

Step-by-step explanation: First 3x becomes a neggative thus saying there is a minus infront of it then combine the like therms with 8x making it 5x. Once you do that take 7 and add it to 3. Therefore the answer is 5x+10.

Combining like terms in the expression the simplified expression is

5x + 10.

We have,

To combine like terms and simplify the expression 7 - 3x + 3 + 8x, group the terms with the same variable (x) and then add or subtract their coefficients.

The expression can be rewritten as:

(-3x + 8x) + (7 + 3)

Combining like terms:

(5x) + (10)

Thus,

The simplified expression is 5x + 10.

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Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!

Answer:

5

Step-by-step explanation:

You start with each membership for each gym as your starting point, then you add the personal sessions to that number.

Silver Gym: 25 65 105

Fit Factor: 75 105

As you can see, it will take Sarah 5 sessions to have both costs equal