Becky's statistics teacher was teaching the class how to perform the z-test for a proportion. Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped the coin 30 times and got heads 18 times.

Becky conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of heads is different from 50%.

Which answer choice shows the correct null and alternative hypotheses for this test?

Select the correct answer below:

H0:p=0.6; Ha:p>0.6, which is a right-tailed test.

H0:p=0.5; Ha:p<0.5, which is a left-tailed test.

H0:p=0.6; Ha:p≠0.6, which is a two-tailed test.

H0:p=0.5; Ha:p≠0.5, which is a two-tailed test.

The function is 4y - 7x = 0.

We need to determine whether y varies directly with x. If so, we need to identify the constant of variation.

What is direct variation?

Direct variation is a relationship between two variables in which one variable is a constant multiple of the other variable. This constant multiple is called the constant of variation.

Let's put the given function in the form of y = kx + b, where k is the constant of variation and b is the y-intercept.

4y - 7x = 0

=> 4y = 7x

=> y = (7/4)x

This function is in the form of y = kx, where k = 7/4.

Therefore, we can say that y varies directly with x, and the constant of variation is 7/4.

To know more about function refer here :

https://brainly.com/question/30721594#

#SPJ11

Answer:

5 1/2 is your second answer :)

Answer:

\(A)5\frac{1}{2}\)

Step-by-step explanation:

To multiply a number and a mixed number, first convert the improper fraction to a mixed number. This can be done by multiplying the "number" part of the mixed number by the denominator (number underneath the fraction bar) and then adding the result to the numerator. After doing so, one can either multiply the improper fraction by the number, and then simplify the result, or one can cross simplify the number and the denominator, then multiply by the numerator.

\(4 * 1\frac{3}{8}\\\\4 * \frac{11}{8}\\\\=\frac{44}{8}\\\\= \frac{11}{2}\)

Now one must convert this improper fraction to a mixed number. One can do this by diving the numerator by the denominator, writing the result as the "number" part of the mixed number, and then writing the remainder as the numerator of the fraction.

\(5\frac{1}{2}\)

Answer:

what grade you in

this looks like 4th grade

Answer: x = 13, Angle ABE = 51°

Step-by-step explanation:

Since angle ABC is 90° and angle EBC is 39°, subtract them.

90° - 39° = 51°

This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).

51 = 3 (x + 4)

Multiply 3 by x and 4.

51 = 3x + 12

Subtract both sides by 12.

39 = 3x

Divide both sides by 3.

x = 13

Answer:

value of x = 8

Step-by-step explanation:

well here,

line x is parallel to the line measuring 18

so the two triangles are similar to each other

hence ratio of their sides are equal

so 6/ 12 = x/ 16

=》1/2 = x/16

=》 x = 16 / 2

=》 x = 8

i hope u got it

have a nice day

Answer:

x = \(\frac{16}{3}\)

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

\(\frac{6}{6+12}\) = \(\frac{x}{16}\) , that is

\(\frac{6}{18}\) = \(\frac{x}{16}\) ( cross- multiply )

18x = 96 ( divide both sides by 18 )

x = \(\frac{96}{18}\) = \(\frac{16}{3}\)

Answer:B

Step-by-step explanation:

The answer is B

everyone should know this

Step-by-step explanation:

Cot t = Cos t / Sin t

Hope it helps

Solution

Let multiple choice questions be x

and

Let word problems be y

The sum of points for all question = 90

The number of questions = 25

A) The two variables that represent the situation are x for multiple-choice questions and y for word problems

B) The system of equations to represent the scenario are

3x +4y = 90----------(1)

x + y = 25 ----------- (2)

C) From equation (1 ) y = 25-x

substituting for y in equation (1) yields

3x + 4(25-x) =90

3x + 100 - 4x = 90

3x -4x = 90 -100

-x = -10

Hence x = 10

Substituting for x = 10 in equation (2), we have

10 + y = 25

y = 25 -10

y = 15

Therefore, Ms. Snows' test will have 10 multiple choice questions and 15-word problem questions.

The probability that a package shipped in a small size box will weigh more than 6 pounds is 0.9236, or 92.36%.

To find the probability that a package shipped in a small size box will weigh more than 6 pounds, we need to convert the weight of 6 pounds to the same unit as the mean and standard deviation given in the problem, which is pounds.

Since 1 pound is equal to 16 ounces, 6 pounds can be expressed as 6 * 16 = 96 ounces. Converting 96 ounces to pounds gives us 96 / 16 = 6 pounds.

Now that we have the weight in pounds, we can use the normal distribution to calculate the probability.

The mean weight of small packages is given as 6.9 pounds, and the standard deviation is 10 ounces, which is equivalent to 0.63 pounds. To find the probability that a package weighs more than 6 pounds, we need to calculate the area under the curve to the right of 6 pounds.

To do this, we can use a standard normal distribution table or a statistical calculator. Using the standard normal distribution table, we can find the corresponding z-score for 6 pounds by subtracting the mean from 6 pounds and dividing by the standard deviation:

z = (6 - 6.9) / 0.63 = -1.429

Looking up the z-score of -1.429 in the standard normal distribution table, we find that the corresponding area to the right of -1.429 is 0.9236.

Therefore, the probability that a package shipped in a small size box will weigh more than 6 pounds is 0.9236, or 92.36%.

For more question on probability visit:

https://brainly.com/question/25839839

#SPJ8

Answer:

\((2x+7)(x+3)\)

Step-by-step explanation:

\(2x^2+13x+21\)

To solve, we will need to factor.

\(2x^2+13x+21\)

Now we got an answer!

\((2x+7)(x+3)\)

This is your answer!

Hope this helps!

The best way to measure the volume of a piece of cylindrical iron is by using water displacement (c). This method involves placing the cylindrical iron into a graduated cylinder partially filled with water.

To explain further, using a meter stick (a) can provide measurements of length, but it does not directly give volume. A balance (b) can measure the mass of the iron, but it does not provide information about the volume unless the density is known. However, by using water displacement (c), the volume can be directly determined without relying on the density or complex calculations. The water displacement method is effective because the volume of the submerged iron displaces an equal volume of water, allowing for an accurate measurement of the iron's volume.

When it comes to concentrated acids and bases, the question seems to be incomplete (8). If you have a specific question regarding concentrated acids and bases, please provide more details so that I can assist you further.

know more about displacement :brainly.com/question/30923109

#SPJ11

Apply angle sum property

\(\\ \rm\Rrightarrow 9x-2+3x-19+3x+6=180\)

\(\\ \rm\Rrightarrow 15x-15=180\)

\(\\ \rm\Rrightarrow x-1=12\)

\(\\ \rm\Rrightarrow x=13\)

Answer:

½(3.14)(4²)(2) = 50.24 ≈ 50 cm³

Step-by-step explanation:

The circumcenter of triangle ABC is (-5, 2)

What is the circumcenter?

The circumcenter of a triangle is the point that is equidistant from all three vertices of the triangle. It is the center of the circle that passes through all three vertices of the triangle.

To find the circumcenter of the triangle ABC with vertices A(-5,3), B(5, 8), C(-5.8) we can substitute the values of the coordinates into the formulas above:

x = (8 - 3) * (-5.8^2 + 3^2 - 5^2 - 8^2) - (3 - 8) * (-5^2 + 3^2 - (-5)^2 -3^2) / 2 * (3 - (-5)) * (8 - 3) - (3 - 8) * (-5.8 - (-5))

x = (-5)

y = (3 - (-5.8)) * (-5^2 + 3^2 - (-5)^2 -3^2) - (-5 - (-5)) * (3^2 + 3^2 - (-5.8)^2 - 8^2) / 2 * (3 - 8) * (-5 - (-5)) - (3 - 8) * (3 - (-5.8))

y = 2

Hence, the circumcenter of triangle ABC is (-5, 2)

To learn more about circumcenter, Visit

https://brainly.com/question/21299234

#SPJ1

Answer:

(0, 5.5)

Step-by-step explanation:

Midpoint of BC: ([-5 + 5]/2, (8 + 8)/2) = (0, 8)

Perpendicular bisector of BC has equation: x = 0

Midpoint of AC: ([-5 + (-5)]/2, (3 + 8)/2) = (-5, 5.5)

Perpendicular bisector of AC has equation y = 5.5

Point of intersection of the two perpendicular bisectors:

(0, 5.5)

Answer: (0, 5.5)

The definition of slope-intercept form y=mx+b is given below.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.

In the given question:-

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.

To learn more about slope of line, click the following link:-

https://brainly.com/question/24778489

#SPJ1

H₁ = 4 cm     {Height of the smaller cylinder}

H₂ = 6 cm    {Height of the larger cylinder}

Therefore the ratio of corresponding dimensions of these cylinders is:

6:4 = 1.5

If the ratio of corresponding dimensions of similar solids is k then the ratio of their volumes is k³.

So:

     \(V_2=(1.5)^3V_1\\\\V_2 = 3.375\cdot48\,cm^3=162\,cm^3\)

Answer:

Number 1 is S

Number 2 is 0.4

Number 3 is 8 yards per second

Number 4 is 4 hours.

out of a group of 12, the possible arrangements are possible are 495.

What do you mean by arrangements in permutation and combinations?

Finding the total number of different configurations for a collection of elements is a straightforward definition of the term permutation. According to permutation, the arrangement is classified as a non-distinct item, which essentially classifies things that are impossible to identify from one another.

according to the question, out of 12 people, 4 are to be chosen

so the possible arrangements are 12C4 =495

Hence, the possible arrangements are 495.

to learn about arrangements from the given link,

https://brainly.com/question/1216161

#SPJ4

Answer : Do what ? 0-0

Explanation : Seems you didn't add a screenshot or forgot to enter the answer

Answer:

Sry if it is wrong..........

Answer:

6. 0.22222222222

7. -0.0037037037

Step-by-step explanation:

Im nice at such questions so I gave the answer

hope it helps you... please mark me as BRAINLIEST

Answer:

Yes

Explanation:

The 0 in 6.40 is not significant.

Step-by-step explanation:

Assuming it is compounded annually:

A = P (1 + r)^t

where A is the final amount

P is the principal,

r is the annual rate,

and t is time in years.

A = 335 (1 + 0.052)^2.5

A = 380.26

Answer:

non of them are correct as per my knowledge

Answer:

2

Step-by-step explanation:

Answer:

Line b and line c are perpendicular.

Step-by-step explanation:

In order to find if the lines are parallel, perpendicular or neither, their slopes have to be found.

Slope is denoted by m and is calculated as:

\(m = \frac{y_2-y_1}{x_2-x_1}\)

Here (x1,y1) and (x2,y2) are the coordinates of the point through which the line passes.

Let m1 be the slope of line a

and line a passes through (−2, 1) and (0, 3)

\(m_1 = \frac{3-1}{0+2} = \frac{2}{2} = 1\)

Let m2 be the slope of line b which passes through (4, 1) and (6, 4)

\(m_2 = \frac{4-1}{6-4} = \frac{3}{2}\)

Let m3 be the slope of line c which passes through (1, 3) and (4, 1)

\(m_3 = \frac{1-3}{4-1} = \frac{-2}{3}\)

When two lines are parallel, their slopes are equal.

When two lines are parallel, the product of their slope is -1

None of the slopes are equal to each other so none of the lines are parallel

And

\(m2.m3\\= \frac{3}{2} * -\frac{2}{3}\\= -1\)

Hence,

Line b and line c are perpendicular.

Answer:

(-3/2, -13/2)

Step-by-step explanation:

To solve the system of equations graphically, we need to plot the two equations on the same set of axes and find the point of intersection.

To plot the first equation y = x - 5, we can start by finding the y-intercept, which is -5. Then, we can use the slope of 1 (since the coefficient of x is 1) to find other points on the line. For example, if we move one unit to the right (in the positive x direction), we will move one unit up (in the positive y direction) and get the point (1, -4). Similarly, if we move two units to the left (in the negative x direction), we will move two units down (in the negative y direction) and get the point (-2, -7). We can plot these points and connect them with a straight line to get the graph of the first equation.

To plot the second equation y = -x - 8, we can follow a similar process. The y-intercept is -8, and the slope is -1 (since the coefficient of x is -1). If we move one unit to the right, we will move one unit down and get the point (1, -9). If we move two units to the left, we will move two units up and get the point (-2, -6). We can plot these points and connect them with a straight line to get the graph of the second equation.

The point of intersection of these two lines is the solution to the system of equations. We can estimate the coordinates of this point by looking at the graph, or we can use algebraic methods to find the exact solution. One way to do this is to set the two equations equal to each other and solve for x:

x - 5 = -x - 8 2x = -3 x = -3/2

Then, we can plug this value of x into either equation to find the corresponding value of y:

y = (-3/2) - 5 y = -13/2

So the solution to the system of equations is (-3/2, -13/2).

Answer:

y < 3

Step-by-step explanation:

The line is y = 3

Since it is under the line,

y < 3

Since it is dotted, it will remain as y < 3

Hope this helps and be sure to mark this as brainliest! :)