In the​ past, the mean running time for a certain type of flashlight battery has been 8.6 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result.
The hypotheses​ are:
H0: μ = 8.6 hours
Ha: μ > 8.6 hours
where μ is the mean running time of the new batteries.
Explain the meaning of a Type II error.A. The manufacturer will decide the mean battery life is greater than 8.3 hours when in fact it is greater than 8.3 hours. B. The manufacturer will decide the mean battery life is less than 8.3 hours when in fact it is greater than 8.3 hours. C. The manufacturer will decide the mean battery life is 8.3 hours when in fact it is 8.3 hours. D. The manufacturer will decide the mean battery life is 8.3 hours when in fact it is greater than 8.3 hours. E. The manufacturer will decide the mean battery life is greater than 8.3 hours when in fact it is 8.3 hours.

Answer:

\( \boxed{ \bold{ \huge{\boxed{ \sf{(12.5 \: , \: 11.5)}}}}}\)

Step-by-step explanation:

Let the points be A and B

Let A ( 13 , 15 ) be x₁ , y₁ and B ( 12 ,8 ) be x₂ , y₂

Finding the midpoint

\( \bold{ \boxed{ \sf{midpoint \: = (\: \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2}) }}}\)

\(\dashrightarrow{ \sf{ (\frac{13 + 12}{2} , \: \frac{15 + 8}{2} )}}\)

\( \dashrightarrow {\sf {(\frac{25}{2} \: , \: \frac{23}{2} )}}\)

\( \dashrightarrow{ \sf{(12.5 \: , \: 11.5)}}\)

Hope I helped!

Best regards! :D

If R(x, y) is a point that needs to be rotated about the origin, then coordinates of this point after the 90° rotation will be R'= (y, -x)

When rotated through 90° about the origin in the clockwise direction, the new position of point P (2, 3) will become P' (3, -2)  

So, each point has to be rotated and new coordinates have to be found. Then we can join the points and find the new positioned figure.

Thus, if R(x, y) is a point, then the coordinates of this point after the 90° rotation will be R'= (y, -x).

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Answer:

#5 more info is needed. #6 is a CD.

Step-by-step explanation:

#5 doesn't have the appropriate values given which in this case is how much money. #6 is most likely a CD because they tend to have bigger interest rates, unless if you needed to access it. If you needed to access this money, a savings account would most likely give you the best interest rates.

Answer: 2,208$

Step-by-step explanation:

To solve this problem, simply determine how much each attendee costs by doing 960$/30attendees = 32$/attendee.  Then, simply multiply this number by 69 to get: 2,208$

Hope it helps :) and let me know if you want me to elaborate further.

Answer:

5 1/2 cm

Step-by-step explanation:

It already gives you all the info needed. Add all of the numbers. AB+DE=3

BC+DC=2 1/2

2 1/2+3 = 5 1/2

Answer:

Step-by-step explanation:

Perimeter =  AB + BC + CD + DE + EA

Perimeter = AB + BC + DE + (AE + DC)

Perimeter = \(1\frac{3}{4}\) +  \(1\frac{3}{10}\) + \(1\frac{1}{4}\) + \(1\frac{1}{5}\)

Perimeter = \(\frac{35}{20} + \frac{26}{20} +\frac{25}{20} +\frac{24}{20} = \frac{110}{20}= \frac{11}{2}\)

Perimeter = 5½ cm

Step-by-step explanation:

y+159=180°{being straight angle}

y=180-159

y=21

again,

To find value of x

x + y+90°=180°{ sum of of triangles }

x+21+90=180

x=180-111

x=69°

hope it helps.

Answer:

Step-by-step explanation:

The scale factor required for the dilation of the living room is 1/3.

A scale factor is a multiplicative fraction that can be used to either increase or decrease (i.e resize) the shape of a given object. It is given by the expression:

scale factor =

Dilation is type of transformation that can be used to resize the dimensions of a given object. So that an image of the object is formed.

Therefore, the required scale factor is;

scale factor =

                  = 7/21 or 9/27

                  = 1/3

scale factor = 1/3

The scale factor of the dilation as required in the question is 1/3.

Answer:

1/3 to 1, or 1 to 3

Step-by-step explanation:

WXZY has length 27 inches and width 21 inches. W'X'Z'Y' has length 9 inches and width 7 inches. So the scale factor is 1/3 to 1, or 1 to 3.

Answer:

WVAD

Step-by-step explanation:

wdvvvvavdv

Answer: 20 tis it

Step-by-step explanation:

my man

Answer:c, the answer is c

Step-by-step explanation:

Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

Converting y - 3x = 4x to slope-intercept form:

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

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

We can show this in the following formula:

m2 = -1 / m1, where

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

-1 (y = 7x)

-y = -7x

----------------------------------------------------------------------------------------------------------

    -y = -7x

+

    y = -4x + 3

----------------------------------------------------------------------------------------------------------

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Answer:

2,4 3,5

Step-by-step explanation:

The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:

244 - (33456 / 3456) * 345 + 13.55 - 2

= 244 - 97.02 * 345 + 13.55 - 2

= 244 - 33494.1 + 13.55 - 2

= -33238.55

Therefore, 244-33456/3456*345+13.55-2 = -33238.55.

Answer: x=-3

Step-by-step explanation:

move -9 over to -12 and the 9 becomes positive and then add -12+9 and your answer will be negative

Answer: 20 \(\frac{1}{2}\)

Step-by-step explanation:

First of all, 5 \(\frac{4}{10}\) = 5.4

Remember, 1/10 = 0.1, 2/10 = 0.2, and so on.

This means we can change the equation to 25.92 - 5.4, which gives us 20.52.

This is close to 20.50, which is equivalent to 20 \(\frac{5}{10}\), which is equivalent to 20 \(\frac{1}{2}\).

We have to find the solutions represented by point A on graph.

point A is represented (1 , 5i)

1. (1 - 4i) - (2 + i)

= 1 - 4i - 2 - i

= -1 - 5i

This option is not correct because it does not as same point as A.

2. -1(1 - 4i) + (2 + i)

= -1 + 4i + 2 + i

= 1 + 5i

This solution is same as point A so this option is correct.

3. (-1 + 4i) - (2 + i)

= -1 + 4i - 2 - i

= -3 + 3i

This option is not correct because it does not as same point as A.

4. (-1 + 4i) + (2 + i)

= -1 + 4i + 2 + i

= 1 + 5i

This solution is same as point A so this option is correct.

Therefore options 2 and 4 are correct.

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The slope of a line parallel to 2y= 6x+8 is 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:

m₁ = m₂

By making y the subject of formula, we have:

2y = 6x + 8

y = 3x + 4

Therefore, the slope is 3.

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Answer:

C. Seasonal variation

Step-by-step explanation:

Distinct pattern around a trend line can be caused by seasonal variation.

Seasonal variation refers to a component of a time series which can be defined as the repetitive and predictable movement around the trend line in a year or less. It is caused by temperature, rainfall, public holiday and cycles of season

Seasonal variation can be detected by measuring the quantity of interest for small time intervals, such as days, weeks, months or quarters.

Firms affected by seasonal variation are usually interested in knowing their performance relative to the normal seasonal variation. They need to identify and measure this seasonality so as to help with planning.

Answer:

its 12

Step-by-step explanation:

i took the test

Answer:

The number of the more cups of sugar is 2 \(\frac{1}{5}\) cups

Step-by-step explanation:

Let us solve it step by step

∵ Mrs.Reily wants to make 3 batches of chocolate crinkle cookies

∵ Each batch requires 2 cups of sugar

→ Multiply 2 by 3 to find the number of cups of sugar she will

   need to make 3 batches

∴ The total number of cups of sugar = 2 × 3 = 6 cups

∴ She will need 6 cups of sugar to make 3 batches

∵ Mrs.Reilly only has 3 and 4/5 cups of sugar

→ Subtract it from the total number of cups of sugar

∴ The number of the more cups = 6 - \(3\frac{4}{5}\)

→ Change 3 \(\frac{4}{5}\) to an improper

∵  \(3\frac{4}{5}\) = (3 × 5 + 4)/5

∴  \(3\frac{4}{5}\) = \(\frac{19}{5}\)

∴ The number of the more cups = 6 -  \(\frac{19}{5}\)

→ Make 6 as a fraction by multiplying up and down by 5

∴ The number of the more cups = \(\frac{30}{5}\) -  \(\frac{19}{5}\)

∴ The number of the more cups = \(\frac{11}{5}\)

→ Chang it to a mixed number

∵ 11 ÷ 5 = 2 R 1

∴ \(\frac{11}{5}=2 + \frac{1}{5}\)

∴ The number of the more cups of sugar = 2 \(\frac{1}{5}\) cups

Answer: C. 1 1/3

Step-by-step explanation:

Slope is calculated by the change in y/the change in x.

Plug values from the table into the equation:

(19-15)/(4-1)

Evaluate and Simplify:

4/3 -> 1 1/3

Answer:

48.49 feet

Step-by-step explanation:

The diagrammatic sketch of the information provided in the question was attached in the image below.

From the image below, the distance between the two kites is denoted by (c) and can be determined by using the cosine angle rule which is expressed as:

\(c^2 = a^2 + b^2 -2ab cos \ C\)

where;

a = 110

b = 104

Cos C = 26°

Then;

\(c^2 = 110^2 + 104^2 -2(110)(104) cos \ 26 \\ \\ c^2 = 12100 + 10816- 22880 ( 0.8988) \\ \\ c^2 = 22916- 20564.544 \\ \\ c^2 = 2351.456 \\ \\ c= \sqrt{2351.456} \\ \\ \mathbf{ c = 48.49 \ feet}\)

Answer:

70 degrees

Step-by-step explanation:

The measure of the central angle equal the measure of the arc it intercepts.

So arc BC is 70 degrees.

Step-by-step explanation:

how many people in the party please ?

Answer:

A

Step-by-step explanation:

Answer:

a. A two-sample z-test for a difference in sample proportions

Step-by-step explanation:

We are told that there are two supermarkets in the research named X and Y.

That a random number of shoppers were selected in each supermarket.

Thus means we have two different sample proportion.. Since a different number of people were randomly selected from each supermarket and a different number of people purchased the product.

Thus, we will have 2 sample proportions one for supermarket X and the other for supermarket Y.

In addition, the position of the product was different in both supermarkets.

Thus, we can say that this is a 2 sample Z-test for difference in their sample proportion.

The option that is most appropriate method for analyzing the results is that a two sample z test for a difference in population proportions.

A Two-Sample Z-test is known to be a kind of test that is often employed so as to make a comparison of the means of two samples to know and show if it is feasible that they are a product of the same population.

Conclusively, When a two sample z test is employed in the data given above, one can know and show the various difference that can be seen in population proportions.

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Answer:

b. To provide an idea of what the population standard deviation might be

Step-by-step explanation:

Pilot sample can be regarded as the

small scale preliminary experiment whereby a smaller size of samples which is smaller compare to expected size is taken population of interest which gives the estimate for the population standard deviation.

The population standard mean is a parameter and it's been calculated from every entity of the population and

can be calculated using below formula

σ =√Σ (xi -μ)^2 /N

Where N= size of the population

σ= population standard mean

μ= population mean

Xi=each sample from the population