A researcher examines 27 sedimentary samples for bromide concentration. The mean bromide concentration for the sample data is 0.383 cc/cubic meter with astandard deviation of 0.0209. Determine the 90 % confidence interval for the population mean bromide concentration. Assume the population is approximatelynormal.Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.A chemist examines 25 geological samples for bromide concentration. The mean bromide concentration for the sample data is 0.502 cc/cubic meter with a standarddeviation of 0.0313. Determine the 98 % confidence interval for the population mean bromide concentration. Assume the population is approximately normal.Step 2 of 2: Construct the 98 % confidence interval. Round your answer to three decimal places.

Answers

Answer 1

Therefore, the 98% confidence interval for the population mean bromide concentration is approximately (0.449, 0.555).

T distribution

The t-distribution, also known as Student's t-distribution, is a probability distribution that is used to estimate the mean of a population when the sample size is small, and the population standard deviation is unknown. It is a continuous probability distribution that is similar to the standard normal distribution, but with heavier tails. The t-distribution is parameterized by a single parameter, called the degrees of freedom, which represents the number of independent observations used to calculate the sample mean.

The t-distribution is commonly used in hypothesis testing and confidence interval calculations. When testing a hypothesis about the mean of a population, the t-distribution is used to calculate the test statistic, which is then compared to a critical value from the t-distribution table to determine whether to reject or fail to reject the null hypothesis. When calculating a confidence interval for the population mean, the t-distribution is used to determine the margin of error around the sample mean.

The t-distribution becomes closer to the standard normal distribution as the degrees of freedom increase. When the sample size is large (typically over 30), the t-distribution and the standard normal distribution are almost indistinguishable.

by the question.

CI = 0.383 ± 1.706*(0.0209/√27) ≈ (0.362, 0.404)

Therefore, the 90% confidence interval for the population mean bromide concentration is approximately (0.362, 0.404)

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Related Questions

Divide the depth of the layer in kilometers by the total depth. For example, to calculate the part of the total depth that the crust represents, divide 40 by 6,046.

Multiply the quotient by the depth of the jar.

Answers

The percentage of each is 0.66% , 1.65% , 2.97% , 37.21% , 37.48%, 20.1% respectively

The percentage of the total for each layer is calculated by dividing the depth of the layer in kilometers by the total depth

Percentage = (layer depth in km / total depth) × 100%

Crust= (40 / 6046) × 100 = 0.66%

Lithosphere = (100 / 6046) × 100 = 1.65%

Asthenosphere = (180/6046) × 100 = 2.98%

Mantle = (2250/6046) × 100 = 37.21%

Outer core = (2266/6046) × 100 = 37.48%

Inner core = (1210/6046) × 100  = 20.01%

The Depth in centimeters for each layer multiply the depth of the jar, 16.5 cm, by the percent you calculated for the crust

Crust = 0.66 × 16.5 cm =0.11 cm

Lithosphere = 1.65 × 16.5 = 0.27 cm

Asthenosphere = 2.98 × 16.5 = 0.49 cm

Mantle = 37.21 × 16.5 = 6.14 cm

Outer Core = 37.48 × 16.5 = 6.18 cm

Inner Core = 20.01 × 16.5 = 3.30 cm

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The question is incomplete the complete question is :

i. Divide the depth of the layer by the total depth. For example, to calculate the percentage of the total depth that the crust represents, divide 40 by 6,046.

ii. Write your answer in the Percent column.

iii. Repeat for the rest of the layers.

Use the calculator to determine the depth in centimeters for each layer. This is the depth of sand

you will put in your jar.

i. Multiply the depth of the jar, 16.5 cm, by the percent you calculated for the crust.

ii. Write your answer in the Centimeters column.

iii. Repeat for the rest of the layers.

Divide the depth of the layer in kilometers by the total depth. For example, to calculate the part of

I don’t get it bc how I’m doing it, it give me 13.8 but it’s wrong

I dont get it bc how Im doing it, it give me 13.8 but its wrong

Answers

Answer:

Below

Step-by-step explanation:

The question states "round to nearest hundredth"   ....you rounded  to nearest 10th.....   I believe you can now find the correct answer...

in fraction form it is 13  11/13

choose the correct solution and graph for the inequality 4z - 5 < 29 or 4z + 3 > 15

Answers

The solution for the given inequalities is z < 6 or z > 3.

The given inequalities are 4z - 5 < 29 or 4z + 3 > 15.

What is a inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequalities can be solved as follows:

4z - 5 < 29

Add 5 to both the sides of a inequality

4z - 5 + 5 < 29 + 5

4z < 24

Divide 4 to both the sides of a inequality

4z/4 < 24/4

z < 6

Solve 4z + 3 > 15

Subtract 3 to both the sides of a inequality

4z + 3 - 3 > 15 - 3

4z > 12

Divide 4 to both the sides of a inequality

4z/4 > 12/4

z > 3

So, z < 6 or z > 3

Therefore, the solution for the given inequalities is z < 6 or z > 3.

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choose the correct solution and graph for the inequality 4z - 5 &lt; 29 or 4z + 3 &gt; 15

Question: In a litter of kittens there are 3 white kittens, 2 black kittens, and 5 orange kittens. Answer using odds notation, where the ratio of a to b is expressed as a:b. 1. What is the ratio of orange kittens to black kittens

Answers

The ratio of orange kittens to black kittens can be expressed as 5:2.

In this design, 60% is orange and the rest is black.

The colour black and orange mixed together is called tangelo. A tangelo is a fruit that is a hybrid of a grapefruit and an orange.

In a RGB color space (made from three colored lights for red, green, and blue), hex #FFA500 is made of 100% red, 64.7% green and 0% blue.

To find the ratio of orange kittens to black kittens, we can compare the number of orange kittens (5) to the number of black kittens (2).

Therefore, the ratio of orange kittens to black kittens can be expressed as 5:2.

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I conduct a study of safe drivers for a major insurance company and collect data from a sample of 1,000 drivers and examine their driving records over a 10-year period. This study is using

Answers

The study conducted by the insurance company is an example of a longitudinal study.

A longitudinal study is a research design that involves collecting data from the same group of individuals over an extended period. In this case, the researchers collected data from the same group of drivers over a 10-year period.

The purpose of this study was to identify safe drivers, and the researchers collected data from a sample of 1,000 drivers. The sample size is an essential consideration in research because it affects the accuracy and reliability of the results.

A larger sample size generally provides more accurate results than a smaller sample size.

The researchers examined the driving records of the participants over a 10-year period. Driving records typically include information such as traffic violations, accidents, and other incidents that may affect a driver's safety on the road.

By examining these records, the researchers could identify drivers who had a history of safe driving.

The findings of this study can be used by the insurance company to develop policies and pricing strategies that encourage safe driving behavior.

For example, they may offer lower premiums to drivers who have a history of safe driving.

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A 12- V battery powers a series circuit that contains two lightbulbs. The voltage across one of the lightbulbs is 8 V. What fractional part of the circuits total energy is transformed in the second lightbulb?

Answers

Answer:

1/3

Step-by-step explanation:

12-8=4

4/12 = 1/3

latona did an experiment at a military barracks over the space of a few months to examine the effect of group size on group morale. he randomly assigned soldiers to the experimental and control groups and did a prettest and posttest. midway through the experiment, some of the soldiers were re-assigned to different stations across the u.s. causing the sample size to drop. which source of internal invalidity does this example reflect? question 8 options: a) maturation b) testing c) experimental mortality d) history

Answers

The source of internal invalidity reflected in this example is experimental mortality, as the drop in sample size due to soldiers being reassigned to different stations across the U.S. can lead to a decrease in statistical power and increased risk of bias in the results.

This example reflects the source of internal invalidity known as c) experimental mortality. Experimental mortality refers to the loss of participants during an experiment, which may cause issues with the overall validity of the results. In this case, the reassignment of soldiers to different stations across the U.S. caused the sample size to drop, potentially affecting the outcome of the study on the effect of group size on group morale.

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Review the graph of 2x – 7 – 3 ≥ y.

On a coordinate plane, a curve goes through (0, negative 3) and increases up through (8.5, 0) and (10, 5). Everything below the line is shaded and is labeled 2 Superscript x minus 7 Baseline minus 3 greater-than-or-equal-to y.

What is the least integer value that satisfies the inequality 2x – 7 ≥ 3?

7
8
9
10

Review the graph of 2x 7 3 y.On a coordinate plane, a curve goes through (0, negative 3) and increases

Answers

The least integer value that satisfies the inequality   \(2^{x-7} - 3\) ≥ y is 7.

What is Exponential function?

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round.

Here, In the given function

            Least possible value of 2ˣ⁻⁷ is 1

                     2ˣ⁻⁷ = 2⁰

    On comparing both sides, we get

                 x-7 = 0

                  x = 7

Thus, The least integer value that satisfies the inequality   2ˣ⁻⁷-3≥ y is 7.

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Answer:

7

Step-by-step explanation:

edg 2022

Find the discount in percent, when MP = ₹625 and SP = ₹562.50
HELPP!!!

Answers

Answer:

10% discount

Step-by-step explanation:

1. 625-562.5=62.5

2. 62.5/625 is 10%, so 10% discount.

*Please mark me as brainliest

strawberries are $1.95 a pound. Write an expression for p pounds of strawberries

Answers

Answer:

dollar

Step-by-step explanation:

Answer:

1.95x

Step-by-step explanation:

x equals the # of pounds of the strawberries

What is the square root of x?
Given x is twice as much as y.
Given y is 1/4 of z.
Given z is 1/2 of 1600.

Answers

The square root of the algebra value x is 20.

Substitution algebra

Substitution in algebra simply means putting numbers where the letters are.

There are three algebra values given which are; x, y, and z

x = 2y

y = (1/4) of z

z = (1/2) of 1600

hence,

z = 1/2 × 1600

z = 800

we substitute the value of z in y = (1/4) of z

so y = 1/4 × 800

y = 200

also, we substitute the value of y in x = 2y

so x = 2 × 200

x = 400

take the square root of x and its value

√x = √400

√x = 20.

Therefore, by proper substitution of the algebra values, the square root of x is derived to be 20.

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Reece and sarah share some money in the ratio 9:16

reece says that sarah gets more than 60% of this money

show that reece is correct (3marks)

Answers

Hence it is proved that Reece is correct.

What is meant by percentage?

%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given that Reece and Sarah share some money at a ratio of 9:16

Let the total money be x.

Then, Sarah's share = x*16/25 = 0.64*x

That is 64% of the total money.

Which is greater than 60% of the total money.

Therefore, Reece is correct.

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Find the distance between the following pair of points.

A(-3,1), B(7,13)

Answers

Answer:

15.6 units (3 s.f.)

Step-by-step explanation:

The distance between 2 points is given by the formula below, where \((x_1, y_1)\) is the first coordinate and \((x_2, y_2)\) is the second coordinate.

\(\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}\)

Using the distance formula above,

distance between A(-3, 1) and B(7, 13)

= \(\sqrt{(13-1)^{2} + [7-(-3)]^{2} } }}\)

= \(\sqrt{12^2+(7+3)^2}\)

= \(\sqrt{244}\)

= 15.6 units (3 s.f.)

Additional:

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Can someone please help my daughter. It's on a timer so she has 10 minutes left. No links people no links no links. The question is in the picture. It's the question Number 2.​

Can someone please help my daughter. It's on a timer so she has 10 minutes left. No links people no links

Answers

Answer: 108° ; 165°

Step-by-step explanation:

180(n - 2) is the formula to figure out the total degrees in a polygon.

A pentagon has 5 sides, so:

180(5-2) = 180(3) = 540°

Divide the total degrees by the number of angles (a pentagon has 5 angles):

540° ÷ 5 = 108°

24-gon:

180(24 - 2) = 180(22) = 3960°

3960° ÷ 24 = 165°

Answer: 108° ; 165°

Step-by-step explanation:

180(n - 2) is the formula to figure out the total degrees in a polygon.

A pentagon has 5 sides, so:

180(5-2) = 180(3) = 540°

Divide the total degrees by the number of angles (a pentagon has 5 angles):

540° ÷ 5 = 108°

24-gon:

180(24 - 2) = 180(22) = 3960°

3960° ÷ 24 = 165°

Solve the system below.
y= -3/4x-4
2y-2=x

Answers

Hope this helps you with what you are looking for
Solve the system below. y= -3/4x-42y-2=x

Create a data set with at least 7 values so that the median is 12.

Answers

Answer:

5, 7, 8, 12, 13, 17, 20

Step-by-step explanation:

REMEMBER: THE MEDIAN IS THE 'MIDDLE NUMBER' OF A DATA SET

Also, in order to find the median, the numbers must be in numerical order.

PLEEEEEEEEEASE HEEEEEEEEELP

In a large harbour there are many docks, labeled alphabetically, which are built side by side in a straight line. Dock A and Dock K are located 2.3 km apart along this line. There is a Dock L on an island outside the harbour such that is 45° and is 64°. How far is the island dock away from each of the other two docks?

Answers

Answer:

distance island dock to Dock A = 4.99 km

distance island dock to Dock K = 6.35 km

Step-by-step explanation:

Always make a scetch to visualize the situation.

You need to construct two triangle both with a streight angle, so you can use Pythagoras to calculate the unknown distances between the island dock L, and each of the other two docks A an K.

I chose to introduce an extra letter, the letter C. In total you have the letters A K L and the letter C.

The letter C has a streight angle of 90° between ACL and it has the same streight angle of 90° with KCL. It is crucial that you see that the distance of LC is exactly the same in triangle LAC and that LC has exactly the same distance in the other triangleLKC.

The distance between AK = 2.3 km.

I define the distance between K and point C as 2.3 + x, because the distance x is unknown.

KC = 2.3 + x

Further more, when you make a picture, you can see that the distance between A and point C = x.

From such a picture, it would show clearly, that K is further away in respect to L then point A. From the picture it would be clear that the angle of LKC is smaller then the angle of LAC, so LKC = 45° and LAC = 64°.

Because angle LKC = 45° and we choose C to have an angle of 90°, the TRIANGLE LKC must be a special triangle... In any triangle, the sum of the three angles together, must add up to 180° .

If that is true, then we have 45 + 90 + 45 (because that adds up to 180). Now that means triangle LKC must have two equal sides (because of the same angels of 45° ).

So we know the distance KC = LC and we already defined KC = 2.3 + x.

Now we know enough to solve the problem.

AK = 2.3 km

angle of LKC = 45°

angle of LAC = 64°

AC = x

KC = 2.3 + x

LC = KC

LC = 2.3 + x

Try to calculate the distance x by using tan. After that you can use Pythagoras to find the other distances.

tan(LKC) = ( LC ) / ( KC )

tan(LKC) = ( x+2.3 ) / ( x+2.3 )

That is not helpful. Let's try the other triangle...

tan(LAC) = LC / AC

tan(LAC) = ( x+2.3 ) / x

tan(64) = ( x+2.3 ) / x

Solve the equation which means you try to find the value for x.

x * tan(64) = ( x+2.3 )

tan(64) * x -x = 2.3

tan(64) * x - 1* x = 2.3

Try to get x outside of the braquets...

x* ( tan(64) - 1 ) = 2.3

x* (2.0503038415793 - 1 ) = 2.3

1.0503038415793 * x = 2.3

x = 2.3 / 1.0503038415793

x = 2.19

Now use Pythagoras a² + b² = c² in triangle LAC to find distance LA.

LA² = AC² + LC²

AC = x = 2.19

LC = 2.3 + x = 4.39

LA² = 2.19² + 4.39²

LA = SQRT( 4.79 + 20.16 )

LA = SQRT( 24.95 )

LA = 4.99 km

Now use Pythagoras a² + b² = c² in triangle LKC to find distance LK.

LK² = KC² + LC²

KC = 2.3 + x = 4.39

LC = 2.3 + x = 4.39

LK² = 4.39² + 4.39²

LK = SQRT( 20.16 + 20.16 )

LK = SQRT( 40.32 )

LK = 6.35 km

can someone help me answer that question​

can someone help me answer that question

Answers

Answer:

I think is the first option but if not sorry:(

Step-by-step explanation:

I only need letter D

I only need letter D

Answers

Answer:

its how much money he will get

Step-by-step explanation:

Brennan, a farmer, orders a large box of ladybugs to control pests in his greenhouse. To make sure that he was shipped as many ladybugs as he ordered, he decides to figure out approximately how many ladybugs there are in the box. He catches 30 ladybugs, marks them with special paint, and returns them to the box. Then a little while later, he catches 390 ladybugs and counts 13 marked ladybugs among them. To the nearest whole number, what is the best estimate for the ladybug population

Answers

Answer:

900

Step-by-step explanation:

1.analyze problem

2. 30/13*390

3.900

Consider the following: x 29 62 75 99 108 y 215 225 173 129 111 1) what is slope of the regression line predicting y from x,rounded to 2 decimal places?

Answers

The slope of the regression line predicting y from x is 0.30.

Given that,

x              y

29          215

62          225

75          173

99         129

108        111

So, the coordinate points are (29, 215) and (62, 225)

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Here, slope = (225-215)/62-29)

= 10/33

= 0.30

Therefore, the slope of the regression line predicting y from x is 0.30.

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complete the equation so that it has infinitely many solutions. 2x-7(x+10) = x-

Answers

The complete equation will be 2x-7(x+10) = x-7x/2-70/2

What is equation?

When two expression are connected by an equal sign, then it said to be an equation.

Given that,  the equation, that it has infinitely many solutions. 2x-7(x+10) = x-?

Condition for two equations, aₓ₁+bₓ₁+cₓ₁ = 0 and aₓ₂+bₓ₂+cₓ₂ = 0 have infinitely many solutions is,

aₓ₁/aₓ₂ = bₓ₁/bₓ₂ = cₓ₁/cₓ₂

Now,

2x-7(x+10) = 2x-7x-70

2x-7x-70 = x- (given)

Completing to get a form of aₓ₁/aₓ₂ = bₓ₁/bₓ₂ = cₓ₁/cₓ₂

x-7x/2-70/2

Checking for infinitely many solutions,

aₓ₁ = 2, bₓ₁ = -7, cₓ₁ = -70, aₓ₂ = 1, bₓ₂= -7/2 and cₓ₂ = -70/2

aₓ₁/aₓ₂ = 2/1 = 2, bₓ₁/bₓ₂ = -7/-7/2 = 2 and cₓ₁/cₓ₂ = -70/-70/2

Therefore, aₓ₁/aₓ₂ = bₓ₁/bₓ₂ = cₓ₁/cₓ₂

Hence, the equations having infinitely many solutions, are 2x-7(x+10) = x-7x/2-70/2

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Solve for x. Round your answer to the nearest tenth.
12
14

Solve for x. Round your answer to the nearest tenth.1214

Answers

It is 14 for your answer ma’am

Can someone please help me with this problem?

Can someone please help me with this problem?

Answers

Answer: 18/9 if not it's something along that-

Step-by-step explanation:

7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-

Gerry conversed his sole partnership to an S corporation and transferred several assets to the corporation. The assets cost $19,570 and had an adjusted basis of $9,600. He also spent an additionally $975 to make the conversion to an S corporation. What is his beginning basis in the S corporation?

Answers

Gerry's beginning basis in the S corporation is $20,545.

To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.

The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.

The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.

To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.

In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.

Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.

This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.

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Which of the following Python methods is used to perform chi-square goodness of fit tests? Select one. a. chisquare from scipy.stats submodule b. f_oneway from scipy.stats submodule c. anova_Im from scipy.stats submodule d. tukeyhsd from scipy.stats submodule

Answers

The Python methods is used to perform chi-square goodness of fit tests is option (a) chisquare from scipy.stats submodule

The chisquare method from the scipy.stats submodule in Python is used to perform chi-square goodness of fit tests. This test is a statistical technique used to determine if an observed categorical frequency distribution differs from a theoretical distribution. The chisquare method takes two arguments: the observed frequency distribution and the expected frequency distribution.

It returns the chi-square test statistic and the p-value. If the p-value is less than the significance level, we reject the null hypothesis that the observed distribution and the expected distribution are the same. This method is widely used in various fields, including biology, finance, and social sciences, to test the hypothesis about the distribution of categorical data.

Therefore, the correct option is (a) chi-square from scipy.stats submodule

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Find the slope of the tangent line to the given polar curve at the point specified by the value of ?.
r=cos(theta/3)
theta=pi

Answers

The value slope of the tangent line to the polar curve at the point specified by θ = π is slope = - (√3/6) -0.2887.

The slope of the tangent line to the polar curve at the point specified by the value of θ,  to find the derivative of the polar curve with respect to θ and then evaluate it at the given value of θ.

The polar curve is given by the equation r = cos(θ/3).

To find the derivative of r with respect to θ, the chain rule dr/dθ as the derivative of r with respect to θ.

r = cos(θ/3)

Taking the derivative of both sides with respect to θ:

dr/dθ = d/dθ(cos(θ/3))

To differentiate cos(θ/3), the chain rule. Let u = θ/3, then:

du/dθ = 1/3

The derivative as:

dr/dθ = d/dθ(cos(u)) × du/dθ

dr/dθ = -sin(u) × (1/3)

Substituting back u = θ/3:

dr/dθ = -sin(θ/3) × (1/3)

The derivative at the given value of θ = π:

slope = dr/dθ evaluated at θ = π

slope = -sin(π/3) ×(1/3)V

Since sin(π/3) = √3/2,

slope = - (√3/2) ×(1/3)

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Bert and Ernie are planning to go on a tiger hunt. They will need to climb a mountain during their trip. They currently can only read a map and need help calculating the slope. The slope of the mountain is represented by the two points (–2, –1) and (3, 5). What is the slope?

Answers

Answer: 6/5

Step-by-step explanation:

Given the points:

(–2, –1) and (3, 5)

x1 = - 2 ; y1 = - 1 ; x2 = 3 ; y2 = 5

Slope is the change in y divided change in x

Slope = change in y / change in x

Slope = (y2 - y1) / (x2 - x1)

Slope = (5 - (-1)) / (3 - (-2))

Slope = (5 + 1) / 3 +2

Slope = 6 / 5

what is 24 • –31?? pls help

Answers

Rearrange equation
-(24•31)

Multiply

Solution
-744

Answer:   It's -744.

  Multiply the first colum (-1,4) and then the second (2,-3) while also adding a zero. Remember it is both the 30 and the negative while multiplying.

     Hope this helped:)

Pedrito gastó la cuarta parte de su propina en golosinas, las dos quintas partes en juegos y la octava parte se la regaló a su hermano menor. ¿Qué fracción de su propina todavía le queda?

Answers

Answer:

La fracción de la propina que todavía le queda a Pedrito es:

9/40 (nueve cuarentavos).

Step-by-step explanation:

Para obtener la respuesta, se debe realizar una resta de fracciones, en este caso la haremos de solo dos fracciones por ocasión para que quede muy bien entendido. La totalidad de la propina de Pedrito corresponde a una unidad (es decir 1 entero), por lo tanto, a ese número le restaremos lo que gastó en golosinas, lo cual es una cuarta parte o 1/4:

\(1-\frac{1}{4}=\frac{3}{4}\)

Una vez Pedrito ha gastado una cuarta parte en golosinas, aún le quedan tres cuartas partes o 3/4, ahora a ese número le restaremos las dos quintas partes o 2/5 que gastó en juegos:

\(\frac{3}{4}-\frac{2}{5}=\frac{7}{20}\)

Una vez gastadas dos quintas partes en juegos aún le quedan siete veinteavos o 7/20, por último, a este número le restaremos la octava parte o 1/8 que le regaló a su hermano menor:

\(\frac{7}{20}-\frac{1}{8}= \frac{9}{40}\)

Por lo tanto, al final de sus gastos y obsequios, a Pedrito le quedan 9/40 o nueve cuarentavos de su propina.

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