Write a function rule of a line in slope intercept form that is parallel to line 5x - 3y = 7 and has the same y intercept of the line 4x-y=9

Answer:

Step-by-step explanation:

32

The amount of error that you will accept in the upper tail of the confidence interval as follows

The amount of error that will accept in the upper tail is = 13.97

Amount of error = margin of error

Margin of error = [tex]Z\frac{\alpha }{2} \frac{s}{\sqrt{n} }[/tex]

93% = confidence interval =1- [tex]\alpha[/tex]

=1-.93

=0.07

Hence [tex]\frac{\alpha }{2}[/tex] =0.035

[tex]Z\frac{\alpha }{2} or t\frac{\alpha }{2} = 1.81[/tex]

This problem represents two tail test because a two-tailed test is a method in which the critical area of a distribution is two-sided and tests whether a sample is greater or less than a range of values.

And confidence interval are always two tailed.

So margin of error = [tex]1.81x\frac{1.99}{\sqrt{40} }[/tex]

= 0.57

Upper tail C.I = x + margin of error

=13.4+0.57

=13.97

Lower tail C.I = x - margin of error

= 13.4 - 0.57

=12.83

Hence the answer is, the amount of error that will accept in the upper tail is = 13.97.

To learn more about confidence interval click here https://brainly.com/question/14825274

#SPJ4

The constant of proportionality in terms of dollars per hour is A 40.

The constant of proportionality is used to illustrate the constant relationship between the variables.

In this case, a 3 hour lesson costs $120.00 and the cost of a lesson is proportional to the duration, in hours, of the lesson.

The constant will be the division of the values. This will be:

= $120 / 3

= $40

The correct option is A

Learn more about constant on:

brainly.com/question/28413384

#SPJ1

Answer: 12

is the rounded answer using the Pythagoras theorum.

:) hope it's right:)

Step-by-step explanation:

Answer: 0.8412

Step-by-step explanation:

NORAL follows a hyperbolic path.

Equation of hyperbola; x²/6400 + y²/33600 = 1

Given,

The coordinates where the two NAROL transmitters are located = (-200, 0) and (200, 0)

The distance from receiver to these transmitters = 160 miles

We have to find the standard form of the hyperbola that the receiver sits on ;

Here,

The transmitters behave as foci of the hyperbola.

The center of hyperbola; (h, k) = (0, 0)

The distance from center to focal point,

c = 200

Square both sides

c² = 40,000

The distance from the receiver to the transmitters  is given as:

2a = 160

Divide both sides by 2

a = 80

Square both sides

a² = 6400

We have:

b² = c² - a²

This gives

b² = 40000 - 6400

b² = 33600

The equation of a hyperbola is:

(x - h)²/a² + (y - k)²/b² = 1

So, we have:

(x - 0)²/6400 + (y - 0)²/33600 = 1

Therefore,

The equation of the hyperbola is:

x²/6400 + y²/33600 = 1

Learn more about hyperbola here;

https://brainly.com/question/25265561

#SPJ4

Answer:

c is correct.

Step-by-step explanation:

In c, the top equation stays the same.

Multiplying both sides of the bottom equation (3x - y = 4) by 2, we have

6x - 2y = 8.

The value of the expression 2b plus 4a minus a minus 2 plus 12b is 3a + 14b - 2.

Expression:

An expression is defined as the a combination of operators, constants and variables. And it may consist of one or more operands, and zero or more operators to produce a value.

Given,

Here we have the statement "2b plus 4a minus a minus 2 plus 12b".

Now, we have to find the simplified form of this statement.

In order to find the simplified form,

First we have to convert the statement into expression form, then we get

2b plus 4a minus a minus 2 plus 12b = 2b + 4a - a - 2 + 12b

Now, we have to combine the like terms, then we get,

=> (2b + 12b) + (4a - a) - 2

Perform the appropriate arithmetic operations, then we get the simplified form of the expression as,

=> 14b + 3a - 2

Now, we have to arrange them in order then we get,

=> 3a + 14b - 2

To know more about Expression here.

https://brainly.com/question/14083225

#SPJ1

Answer:less than

Step-by-step explanation:304 is a smaller number than 340

The length of the chord is 6

Simply said, a circle is a rounded form without any edges or line segments. It has the geometric form

The circle's general equation is written as follows: x2 + y2 + 2gx + 2fy + c = 0. The center of the circle in this general form of the equation of a circle is (-g, -f), and its radius is given by r = g2+f2cg2+f2c.

The circle's general equation is written as follows: x2 + y2 + 2gx + 2fy + c = 0. The coordinates of the circle's center and radius are determined using this general form. The equation in this case represents a circle that does not pass through the origin because c is a constant term.

We possess

4x2+4y2−12x+32y=27…(1)

We shall have y=0 when the specified circle intersects the x-axis, therefore

4x2+4y2−12x+32y=27

=>4x2−12x=27

=>4x2−12x−27=0…(2)

The answers to (2) are:

x1=−3/2

x2=9/2

Thus, the supplied circle intersects the x-axis at the following points:

A(−3/2,0) and B(9/2,0)

The length of the chord we want is defined as the distance d between these sites. The well-known formula for calculating the distance between points A and B is used to calculate the distance d:

d=root((9/2−(−3/2))^2+(0−0)^2)

√=6^2

=6

To know more about circles click the following link:-

https://brainly.com/question/24375372

#SPJ1

Answer:

30 inches

Step-by-step explanation:

1 ft=12 inches

We multiply this fraction by 12

2 1/2x12

5/2x12/1

60/2

30 inches

Hopes this helps please mark brainliest

The probability that the sample mean will be between 181 and 185 is 0.3039.

Given,

The mean of a population, μ = 180

Standard deviation, σ = 36

Number of sample observations, n = 84

We have to find the probability that the sample mean will be between 181 and 185;

Lets convert 181 and 185 into z scores;

z = (x - μ) / (σ/√n)

z = (181 - 180) / (36/√84)

z = 1/3.93

z = 0.25

z = (185 - 180) / (36/√84)

z = 5 / 3.93

z = 1.27

Lets look z score table;

The area to the left of z = 0.25 is 0.5987

The area to the left of z = 1.27 is 0.8980

The probability that the z is between 0.25 and 1.27 would be 0.8980 – 0.5887 = 0.3039.

That is,

The probability that the sample mean will be between 181 and 185 is 0.3039.

Learn more about probability here;

https://brainly.com/question/6598268

#SPJ4

Answer:923.36

Step-by-step explanation:

Answer: 50% ion know

Step-by-step explanation: its half and half sorry im st*pid

Answer:

a= g=9.81 m/s square

Mass given to us = 30 kg

Therefore we have to find the acceleration of the object,

As there is no air and mass is irrelevant in free fall, the acceleration the object experiences will be equal to the force of gravity. On our planet, the gravitational pull on an item falling there is approximately:

9.81 m/s square.

To learn more about resistance click here:

https://brainly.com/question/460763

#SPJ1

Answer:

y = 3x

Step-by-step explanation:

12x = 4y is the same as

4y = 12x  Now divide both sides by 4

y = 3x

If a shoe size of 6 is added to the data, there wouldn't be any change in the IQR. Therefore, the correct answer option is: B. the IQR remains a 2.

IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.

Mathematically, interquartile range (IQR) is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):

IQR = Q₃ - Q₁

Based on the given data set, the following interquartile ranges was calculated by using Microsoft Excel:

Now, the interquartile range (IQR) is given by:

IQR = Q₃ - Q₁

IQR = 8 - 2

IQR = 2

Adding a shoe size of 6 to the data set, the first and third and interquartile ranges remained the same, which implies that the interquartile range (IQR) would remain as two (2).

Read more on IQR here: https://brainly.com/question/17083142

#SPJ1

Answer: The IQR stays the same therefor the option is "the IQR remains a 2."

Step-by-step explanation:

Answer:

A. 18 roses were red.

B. 30 roses were not red.

C. 5/8 were not red.

Step-by-step explanation:

In order to do this question, we first need a calculator. Then, we take three eighths and divide them on the calculator to get:

3 divided by 8 = 0.375.

Then, on the calculator again, we take the 48 roses and find the percentage of the roses that were red, by multiplying it by 0.375:

0.375 x 48 = 18.

A. 18 roses were red.

Now, for the next question, how many roses were not red. We take the 48 roses and subtract it from the roses that were red, which were 18 roses:

48 - 18 = 30.

B. 30 roses were not red.

Now, to find the fraction of the roses that weren't red. We take the 30 roses that weren't red and divide it by the total amount of 48 roses:

30 divided by 48 = 0.625.

In order to make 0.625 into a fraction, we take the higher, but lowest 100th place we can make for 0.625:

625/1,000.

Now, we simplify it:

625 divided by 5 = 125

1,000 divided by 5 = 200

Now, we have 125/200.

Simplify more:

125 divided by 5 = 25

200 divided by 5 = 40

Once more:

25 divided by 5 = 5

40 divided by 5 = 8

Our final fraction is 5/8.

C. The fraction of the roses that were not red are 5/8.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

14 backpacks

Step-by-step explanation:

people: 4 x 2 = 8

backpacks: 7 x 2 = 14

1/9 is Square root of expression .

What in mathematics is a square root?

= √1/x²  * √x²/81

= √x²/ x² * 81

= √1/81

= 1/9

Learn more about square root

brainly.com/question/3120622

#SPJ13

Answer:

Square root of 45

Step-by-step explanation:

Using pythagoras theorem:
6^2+3^2 = 36+9 = 45

which is [tex]\sqrt{45}[/tex]

Answer:

See below

Step-by-step explanation:

3 * 3 = 9 obviously

a negative number times a negative number equals a positive number

  so   -3  * -3 = + 9

Answer: THERE ARE NO RESTRIcTIONS

Step-by-step explanation: X cancels out every number

The decimal form of the number of filed goals Emily made is 0.32

Total number of attempts Emily made = 25

Total number of field goals = 8

We need to represent the filed goals in decimal

What is decimal?

A decimal is a number that includes a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.

feild goals is 8 out of 25

so, it is 8/25

= 0.32

Therefore, the decimal form of the number of filed goals Emily made is 0.32

To learn more about decimal refer here

https://brainly.com/question/1563738

#SPJ4

All the equations that have 10² = 100 as a solution are given as follows:

We have to solve the equations and verify if the solution is equals to 100.

All the equations have the following format:

ax = b

Isolating the variable x, the solutions are given as follows:

x = b/a.

The first equation is:

0.031x = 31

The solution is:

x = 31/0.031 = 1000 = 10³.

The second equation is:

0.501x = 501

The solution is:

x = 501/0.501 = 1000 = 10³.

The third equation is:

4.08x = 408.

The solution is:

x = 408/4.08 = 100 = 10². (one of the correct options).

The fourth equation is:

0.97x = 97.

The solution is:

x = 97/0.97 = 100 = 10². (one of the correct options).

The fifth equation is:

0.55x = 550.

The solution is:

x = 550/0.55 = 1000 = 10³.

The equations are:

The problem asks for which of these equations 10² = 100 is a solution.

More can be learned about the solution of equations at https://brainly.com/question/25896797

#SPJ1

Answer:

0.35 because above all the probs were below 50 meaning that it was hard for them to even score one goal per game

Step-by-step explanation:

Answer: C

Step-by-step explanation:

12 %- 2 = -6

hope this helps :)

Answer:

224

Step-by-step explanation:

(27x9) - 19

243 - 19 = 224

Answer:

x=11

Step-by-step explanation: