Garrett read 100 pages in his new mystery novel. The book has a total of 250 pages.
What percent of the book has Garrett read?

Based on the given sample statistics (s²=25.98, n=51), the test statistic (χ²) should be calculated using the formula (n - 1) * s² / σ², and then compared to the critical value for the chi-square distribution with (n - 1) degrees of freedom at a significance level of α = 0.10 to determine whether to reject the null hypothesis or not.

To test the claim about the population variance σ² at the significance level α, we can use the chi-square test. Here's how you can perform the test with the given information:

State the null and alternative hypotheses:

The null hypothesis (H₀) is that the population variance σ² is greater than 16.6.

H₀: σ² > 16.6

The alternative hypothesis (H₁) is that the population variance σ² is less than or equal to 16.6.

H₁: σ² ≤ 16.6

Select the significance level (α):

The given significance level is α = 0.10 (or 10%).

Compute the test statistic:

The test statistic for the chi-square test of variance is given by:

χ² = (n - 1) * s² / σ²

Where:

n = sample size (51)

s² = sample variance (25.98)

σ² = population variance (claim value, 16.6)

Using the given values, we can calculate the test statistic:

χ² = (51 - 1) * 25.98 / 16.6

Determine the critical value:

The critical value for the chi-square test depends on the degrees of freedom and the significance level. Since we are testing a one-tailed hypothesis (σ² ≤ 16.6), we will use the lower tail of the chi-square distribution.

The degrees of freedom for the chi-square test of variance is given by (n - 1). In this case, it is 50 (51 - 1).

Using a chi-square distribution table or a calculator, you can find the critical value for α = 0.10 and 50 degrees of freedom.

Make a decision:

If the test statistic (χ²) is less than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Compare the test statistic (χ²) to the critical value. If χ² < critical value, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.

Interpret the decision:

Based on the comparison of the test statistic and the critical value, you can determine whether to reject or fail to reject the null hypothesis.

If the null hypothesis is rejected, it provides evidence to support the alternative hypothesis. If the null hypothesis is not rejected, there is not enough evidence to support the alternative hypothesis.

Please note that I am unable to provide the exact critical value without access to a chi-square distribution table or calculator. However, by following the steps above, you should be able to perform the test and interpret the results using the provided information.

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We need to use the properties of Pyramid and Right Angled Triangle in this question. The distance from apex to each vertex is 10.9.

A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces. The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex. All the faces, with the exception of the base, join at the apex, a vertex at the top. The base's shape is given by the apex, which is located in opposition to it. In the right pyramid, the apex is precisely over the center of the base. The center of the base will be where a perpendicular line from the apex to the base intersects.

So in the question they mentioned Altitude=10 and Base =6.

So using pythagorean theorem,

   x2=y2+(10)2-eq1

    with y half of the length of the diagonal of the base.

   2y=length of the diagnol

   and (2y)2 = 72

    ⇒4y2=72

   ∴y = 3√2.

So substitute y in eq1 and get x.

⇒ ( 3√2)2+(10)2=(x)2

⇒(x)2=118

∴x=10.86.

x≈10.9

We need to use the properties of Pyramid and Right Angled Triangle in this question. The distance from apex to each vertex is 10.9.

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Answer:

To find the solutions of the equation x^2+4x+3=0, you can use the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = 4, and c = 3. Plugging these values into the formula gives:

x = (-4 +/- sqrt(16 - 413)) / (2*1)

x = (-4 +/- sqrt(4)) / 2

x = (-4 +/- 2) / 2

This means the two solutions for x are (-4 - 2) / 2 = -3 and (-4 + 2) / 2 = -1.

So the biggest and lowest numbers you can get with the number x^2+4x+3=0 are -3 and -1, respectively.

Answer: The biggest number is  x= -1 and

                   the lowest number is    x= -3 .

Step-by-step explanation: Solution

or, x^2+4x+3=0

or, x^2+ ( 3+1 )x+3=0

or, x^2+3x + x +3=0

or, x (x + 3)+ 1(x + 3)=0

or, (x + 3) (x + 1)=0

Either,

        (x + 3)= 0  ,    (x + 1)= 0

     or, x= -3       ,    x= -1

Therefore, The biggest number is  x= -1 and

                   the lowest number is    x= -3 .

Answer:

No, you are not changing the value.

Step-by-step explanation:

Answer:

No, because then it would have different values and it wouldn't be rewriting it.

Step-by-step explanation:

Ex. 1/2. The decimal for this would be 0.5, right?

We aren't changing the value of the fraction. It is just another way of writing the value.

Hope this helped. :)

Also, I hope your headache goes away. Feel better soon. :D

ANSWERS

• A = 36.8°

• B = 23.2°

• a = 7.6

EXPLANATION

We can find B using the law of sines,

We have b = 5, c = 11 and C = 120°. Using the last two ratios,

Rise both sides of the equation to -1 - i.e. flip both sides,

Multiply both sides by b,

And take the inverse of the sine,

Replace with the values and solve,

Then, knowing that the sum of the measures of all the interior angles of a triangle is 180°, we find A,

Solving for A,

Finally, let's find a using the law of sines with the first and last ratios,

Solving for a,

Hence, the missing elements are A = 36.8°, B = 23.2° and a = 7.6.

To determine the composition of transformations that maps figure efgh to figure efgh, we need to first identify the transformations involved.

A transformation is a change in position, size, or shape of a figure. In this case, we can see that figure efgh has not changed in size or shape, so the transformation must involve a change in position.

One possible transformation that could be involved is a translation, which involves moving the figure along a straight line without changing its size or shape. Another possible transformation is a rotation, which involves turning the figure around a fixed point.

To find the composition of transformations that maps figure efgh to itself, we need to experiment with different combinations of translations and rotations until we find one that works. For example, we could first rotate the figure 90 degrees clockwise around its center, and then translate it 2 units to the right and 3 units up. This composition of transformations would move figure efgh to a new position, but still maintain its size and shape.

Alternatively, we could first translate the figure 2 units to the right and 3 units up, and then rotate it 90 degrees counterclockwise around its center. This would also result in a new position for the figure, but with the same size and shape as the original.

In conclusion, there are multiple compositions of transformations that could map figure efgh to itself, including combinations of translations and rotations. It is important to experiment with different options and test them to ensure that they maintain the size and shape of the figure.

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Answer: its C

Step-by-step explanation:

Answer:

Original Money Earned: $10,000

To increase this by 5 percent, we need to multiply $10,000 by 0.05 (5%).

$10,000 x 0.05 = $500

Allison makes $500 (5% of $10,000) per month, so you would add that to the sum of your answer after every previous month.

Now, let's add that.

Feb : $10,000 + 500 = $10,500

Mar : $10,500 + 500 = $11,000

Apr : $11,000 + 500 = $11,500

May : $11,500 + 500 = $12,000

Jun : $12,000 + 500 = $12,500

Jul : $12,500 + 500 = $13,000

Aug : $13,000 + 500 = $13,500

Sep : $13,500 + 500 = $14,000

Oct : $14,000 + 500 = $14,500

Nov : $14,500 + 500 = $15,000

Dec : $15,000 + 500 = $15,500

Allison can fill a series with a trend function in excel to calculate monthly income.

To calculate Allison's monthly income from February to December using Excel, you can use the fill series with a trend function.

1. Open a new Excel spreadsheet.
2. In cell A1, type "January" and in cell B1, type "$10,000" (without quotes) as Allison's January income.
3. In cell A2, type "February".
4. In cell B2, type the formula "=B1*1.05" (without quotes). This formula calculates the income for February by increasing January's income by 5 percent.
5. Click on cell B2 to select it, then move your cursor to the bottom right corner of the cell until the cursor changes into a small black cross.
6. Click and hold the left mouse button, then drag the cursor down to cell B12, which corresponds to December.
7. Release the left mouse button. Excel will fill the series with a trend, calculating the income for each month from February to December.

Hence, Excel is used to calculate Allison's monthly income from February to December, taking into account the expected 5 percent increase per month.

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The value of BA.BC vector is 18 cm² as side lengths are 6 cm.

A triangle is a closed two-dimensional geometric figure with three sides, three angles, and three vertices. It is one of the basic shapes in geometry and is formed by connecting three non-collinear points with straight line segments. The sum of the interior angles of a triangle is always 180 degrees, and there are various types of triangles, such as equilateral, isosceles, scalene, right-angled, acute-angled, and obtuse-angled triangles. Triangles are used in a wide range of applications, from architecture and engineering to physics and computer graphics.

Here,

To find the area of the AABC, we can use Heron's formula:

s = (AB + BC + CA)/2 = (6 + 6 + 6)/2 = 9

Area = √(s(s-AB)(s-BC)(s-CA))

= √(9(9-6)(9-6)(9-6))

= 27/4 cm²

To find the height of the AABC corresponding to side AB, we can use the formula:

Area = 1/2 * AB * height

Rearranging, we get:

height = 2 * Area / AB = 2 * 27/4 / 6 = 9/4 cm

Therefore, the area of AABC is 27/4 cm², and the height corresponding to side AB is 9/4 cm.

For the second part of the question, we can use the Law of Cosines to find the angle between sides BA and BC:

cos(A) = (BA² + BC² - CA²) / (2 * BA * BC)

= (6² + 6² - 6²) / (2 * 6 * 6)

= 1/2

A = arccos(1/2) = 60 degrees

Using this angle, we can find the length of side BA . BC:

BA . BC = 2 * AB * BC * cos(A)

= 2 * 6 * 6 * cos(60)

= 18 cm²

Therefore, BA . BC = 18 cm²

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Using the standard deviation value of these interarrival times, the coefficient of variation is 0.012.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

The standard deviation to mean ratio, or coefficient of variation (CV), illustrates the degree of variability in proportion to the population mean. The dispersion increases with increasing CV.

Formula is given by:

\(CV = \frac {\sigma}{\mu}\)

\(\sigma = 0.02\)

Mean for the time of 0.02 sec is = 79 * 0.02

=1.58

CV= 0.02/1.58

=0.012

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Answer:

14

Step-by-step explanation:

a = 3

b = 4

\(b(a + 4)-3(3 + 2)+3 - 2\\a = 3,b=4\\4(3+4)-3(5)+3 - 2\\4(7)-15+3 - 2\\28-14\\\\14\)

Answer:

No graphs????????????

Step-by-step explanation:

Answer: 0.5626

Step-by-step explanation:

just divide 9 by 16

Answer:

a) .000064

b) .2621

c) .9984

Step-by-step explanation:

esta correcta confianza en me

Answer:

y - 190 = 55(x - 2)....distribute thru the parenthesis

y - 190 = 55x - 110....now add 190 to both sides

y = 55x - 110 + 190..simplify

y = 55x + 80 <== slope intercept form (y = mx + b)

i found this on brainly:)

Step-by-step explanation:

Answer:

the flat rate is the right answer on edge

Step-by-step explanation:

Answer:

\(G(x) = 6-x^{4}\)

Step-by-step explanation:

The red graph is the blue graph translated up 3 units, so the answer is \(G(x) = 6-x^{4}\).

The net income for Griffin's Goat Farm, Inc., was \(\$184,340\).

The operating cash flow (OCF) for Kerber's Tennis Shop, we can use the following formula:

\(OCF = EBIT + Depreciation - Taxes + \triangle Working Capital\)

where EBIT is earnings before interest and taxes.

Calculate EBIT by subtracting interest expense from operating income:

EBIT = Operating Income - Interest Expense

We do not have the information for operating income, but we can use the fact that interest expense was. \(\$165,000\) to calculate EBIT.

EBIT = Interest Expense / (1 - Tax Rate)

= \(\$165,000 / (1 - 0)\)

= \(\$165,000\)

Calculate the change in working capital (Δ Working Capital). We are told that the company reduced its net working capital investment by \(\$69,000\), which means that working capital increased by  \(\$69,000\).

Therefore:

\(\triangle Working Capital = \$69,000\)

Now, we can calculate OCF:

OCF = EBIT + Depreciation - Taxes + Δ Working Capital

=\(\$165,000 + 0 - 0 +\ $69,000\)

=\(\$234,000\)

Therefore, the firm’s 2018 operating cash flow (OCF) was \(\$234,000\) .

To calculate the net income for Griffin's Goat Farm, we can use the following formula:

Net Income = EBIT - Interest Expense - Taxes

where EBIT is earnings before interest and taxes. We can calculate EBIT as:

EBIT = Sales - Costs - Depreciation

= \(\$686,000 - \$332,000 - \$65,000\)

=\(\$289,000\)

Next, we need to calculate taxes. We are given a tax rate of 24%, so:

Taxes = Tax Rate x (EBIT - Depreciation)

= \(0.24 \times (\$289,000 - \$65,000)= \$56,160\)

Now, we can calculate net income:

Net Income = EBIT - Interest Expense - Taxes

= \(\$289,000 - \$48,500 - \$56,160= \$184,340\)

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Answer:

It is multiplication

Step-by-step explanation:

It is multiplication because when you divide 9,460,730,472,580.8 by 299,792,458 you will get 31557.6 so that means,

9,460,730,472,580.8/299,792,458 = 31557.6

so, 299,792,458 * 31557.6 = 9,460,730,472,580.8

So the answer is Multiplication by 31557.6

Let me know if it was Helpfull.

Answer:

3/4

Step-by-step explanation:

up 3 right 4

Answer:

1. 1/3

Step-by-step explanation:

Slope = Rise/run

=> It rises by 1, then runs by 3

=> Therefore, slope = 1/3

The correct answer is A. 5 + 9 = 9 + 5 is an example of the commutative property of addition.

The commutative property of addition states that the order of the numbers being added does not affect the sum. In other words, for any two numbers a and b, a + b = b + a. In this example, 5 + 9 = 9 + 5, which shows that the order of the numbers being added does not change the sum.

B. (9 + 2) + 8 = 9+ (2 + 8) is an example of the associative property of addition.

C. 4+ 7 = 3 +4 is not an example of commutative property as its not true 4+7 != 3+4

D. 6 x 1 = 6 is an example of identity property of multiplication.

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Answer:

-2

Step-by-step explana

Answer:

Step-by-step explanation:

12.6/4.2 = 3

Answer:-3

Step-by-step explanation:

Answer:

y= 0 1 2 3 4

Step-by-step explanation:

just minus 2 by all of the numbers from x

Answer:

40x+65y≤2,400 and x+y≤45

Step-by-step explanation:

Answer:

idkkk im trying to figure it out as quick as i cannn

Step-by-step explanation: