Find the power of A for the matrix A = [1 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 -1]. A^16 = [1 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 -1]

Answer:  

area = pi*24^2/4 = 452 yd^2

so that means you will need 452/59 = 7.6 (or 8) gallons

Answer:

303.2 cubic inches

Step-by-step explanation:

20.6in × 3.8in ×2.9in + 3.7in × 7.1in × 2.9in

= answer

Yes, there is evidence to suggest that the population mean life span in Hawaii is less than 77 years.

The hypothesis test in question aims to determine if there is sufficient evidence to support the claim that the population mean life span in Hawaii is less than 77 years.

The null hypothesis (H₀) assumes that the mean life span is equal to 77 years, while the alternative hypothesis (H₁) suggests that the mean life span is less than 77 years.

To conduct the hypothesis test, a significance level (α) of 5% is chosen, which corresponds to a 95% confidence level.

Since the question asks whether the population mean is less than 77 years, this is a left-tailed test.

Using the given sample information, the test statistic can be calculated using the formula:

t = (x - µ) / (s / √n), where x is the sample mean (71.4), µ is the population mean (77), s is the sample standard deviation (20.65), and n is the sample size (20).

By plugging in the values, the test statistic is calculated to be t = (71.4 - 77) / (20.65 / √20) ≈ -1.64.

To determine whether the test statistic falls in the critical region, the critical value for a left-tailed test at α = 0.05 is obtained from the t-distribution table or calculator.

With 19 degrees of freedom, the critical value is approximately -1.73.

Since the test statistic (-1.64) is not less than the critical value (-1.73), we fail to reject the null hypothesis.

This means that there is insufficient evidence to conclude that the population mean life span in Hawaii is less than 77 years at a 5% level of significance.

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Answer:

it's the 2nd one

Step-by-step explanation:

hoped I helped:)

Answer:

62.8319 mi²

Step-by-step explanation:

The volume formula here is V = (area of base)(height),

If we fill in the given measurements, we get:

V = π(2 mi)²(5 mi) = 62.8319 mi²

a) To find the probability that the mouse weighs less than 332 grams is calculated using the z-score formula which is: z= (x-μ)/σ where, x=332μ=409σ=24z= (332−409)/24z=−3.21

Hence, P (x < 332) = P (z < -3.21)

The probability that the mouse weighs less than 332 grams is approximately equal to 0.0007. Therefore, the answer is 0.0007 (rounded to four decimal places).

b) To find the probability that the mouse weighs more than 480 grams is calculated using the z-score formula which is: z= (x-μ)/σwhere,x=480μ=409σ=24z= (480−409)/24z=2.96

Hence, P (x > 480) = P (z > 2.96)

The probability that the mouse weighs more than 480 grams is approximately equal to 0.0015. Therefore, the answer is 0.0015 (rounded to four decimal places).

c) To find the probability that the mouse weighs between 332 and 480 grams is calculated using the z-score formula which is: P (332 < x < 480) = P (-3.21 < z < 2.96)

Hence, the probability that the mouse weighs between 332 and 480 grams is approximately equal to 0.9980. Therefore, the answer is 0.9980 (rounded to four decimal places).

d) The probability of a randomly chosen mouse weighing less than 332 grams is found to be P (x < 332) = 0.0007 which is less than 5%. Therefore, it is unlikely that a randomly chosen mouse would weigh less than 332 grams. Hence, the answer is "Yes, the likelihood is less than 5%".

e) To find the cutoff for the heaviest 6% of this type of mouse can be done by using the Z-table, that gives the z-score for any given probability. For the heaviest 6%, we need to find the z-score corresponding to a probability of 0.94 (100% - 6%). Hence, the Z-score for 0.94 probability is 1.55. Cutoff weight = μ + Z-score * σ= 409 + 1.55 * 24 = 447.2 ≈ 447 (rounded to the nearest whole gram). Therefore, the answer is 447 (rounded to the nearest whole gram).

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Answer:

Area of rectangle =

[tex]l \times b[/tex]

= 5x *( 5x -4)

=

[tex] {25x}^{2} - 20x[/tex]

Perimeter of rectangle = 2(l + b)

=2(5x +5x -4)

= 2(10x - 4)

= 20x - 8

We would need 337,500 pounds of sand to completely fill the cube with sides measuring 15 feet across if it were a perfect cube.

The volume of a cube is calculated by taking the length of one side and raising it to the power of 3. In this case, the cube has sides that measure 15 feet each, so the volume can be calculated as:

Volume of cube = (Length of one side)^3 = (15 feet)^3 = 3,375 cubic feet

To fill the cube with sand, we would need to add enough sand to completely fill this volume. The weight of the sand we need can be calculated using its density. The density of sand varies depending on the type of sand, but a common density for dry sand is around 100 pounds per cubic foot.

Therefore, the weight of sand needed to fill the cube would be:

Weight of sand = (Volume of cube) x (Density of sand) = 3,375 cubic feet x 100 pounds per cubic foot = 337,500 pounds

It is worth noting that the real cube sculpture at the University of Michigan is not a perfect cube and is not filled with sand.

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Answer: 1/4

Step-by-step explanation: Probability is favorable outcomes/ all outcomes, to first choose a science book, the probability is 10/20, or one-half, and then to pick one again, is also 1/2, so you multiply them together to find the probability of both happening and you get 1/4!

The estimated simple linear regression equation is y = 46.2 + 589.2x, with a coefficient of determination (r^2) of 0.7523.

The coefficient of determination (r^2) measures the proportion of the total variation in the dependent variable (y) that can be explained by the independent variable (x) in a linear regression model. In this case, the coefficient of determination is 0.7523, indicating that approximately 75.23% of the variation in the dependent variable (y) can be explained by the independent variable (x) using the given regression equation. This means that the linear relationship between x and y accounts for 75.23% of the variability observed in y. The remaining 24.77% of the variation is attributed to other factors not included in the model. A higher value of r^2 indicates a stronger relationship between the variables.

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Answer:

68oz

Step-by-step explanation:

1) 3lbs x 16oz = 48

Now we know 3lbs is 48oz. since one pound is 16 ounces, 3 pounds is 48 ounces.

2) 48 + 20 = 68oz

3) The total weight of both packages is 68 ounces.

Jesus loves ya, have a great day!

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

John 8:12 - When Jesus spoke again to the people, he said, "I am the light of the world. Whoever follows me will never walk in darkness, but will have the light of life."

Answer:

b = -8

Step-by-step explanation:

Attachment.....added.

Hope it helps :)

Step-by-step explanation:

X=40/8

X=5 Answer

hope it helps

Answer:

X= 5

Step-by-step explanation:

NOTE: DIVIDE 8 IN BOTH SIDE

8X/8 = X

40/8 = 5

SO X = 5

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

+3

Step-by-step explanation:

(+6) ÷ (+2)

=6/2

Divide the numbers; 6/2=3

=3

Hope this helped!!!

A) The DEQ x² + y² + 7xyy' = 0 is not homogeneous.

B) The DEQ x² + y² + 5xy' = 0 is homogeneous.

C) The DEQ x - y - 8xy' = 0 is not homogeneous.

D) The DEQ 2x + y = yy' is not homogeneous.

To determine if each of the given differential equations (DEQs) is homogeneous, we need to check if they satisfy the property of homogeneity, which states that all terms in the equation must have the same total degree.

A) The DEQ x² + y² + 7xyy' = 0:

The term x² has a degree of 2.

The term y² has a degree of 2.

The term 7xyy' has a degree of 2 + 1 + 1 = 4.

DEQ A is not homogeneous.

B) The DEQ x² + y² + 5xy' = 0:

The term x² has a degree of 2.

The term y² has a degree of 2.

The term 5xy' has a degree of 1 + 1 = 2.

DEQ B is homogeneous.

C) The DEQ x - y - 8xy' = 0:

The term x has a degree of 1.

The term -y has a degree of 1.

The term -8xy' has a degree of 1 + 1 = 2.

DEQ C is not homogeneous.

D) The DEQ 2x + y = yy':

The term 2x has a degree of 1.

The term y has a degree of 1.

The term yy' has a degree of 1 + 1 = 2.

DEQ D is not homogeneous.

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Answer:

0.4c

Step-by-step explanation:

Given that :

Price of mp3 is reduced by 60%

Let initial price of mp3 = c

Discount on price = 60% = 0.6

Discounted price = initial price - discount on price

Discounted price = c - 0.6c

Discounted price = 0.4c

Using Ancient Egyptian multiplication, the values are obtained as: (a)  74 × 64 = 2724: (b)  129 × 413 = 35405: (c)  58 × 692 = 30456: (d)  4968 × 1234 = 6148172.

Ancient Egyptian multiplication, also known as Egyptian multiplication or the method of multiplication through doubling and halving, is a method used by ancient Egyptians to multiply two numbers.

It involves breaking down one of the numbers into a sum of powers of two and then adding the corresponding multiples of the other number. Here's how you can compute the given multiplications using ancient Egyptian multiplication:

(a) 74 × 64:

We start with the number 1 and keep doubling it until we reach a number greater than or equal to 74. We then create a column for each power of 2 that was used, and write the corresponding multiple of 64 in each column. Finally, we add the numbers in the columns corresponding to the powers of 2 that make up 74.

1  ×  64 =  64

2  ×  64 = 128

4  ×  64 = 256

8  ×  64 = 512

16 ×  64 = 1024

32 ×  64 = 2048

Adding the numbers corresponding to powers of 2 that make up 74:

64 + 0 + 0 + 512 + 0 + 2048 = 2724

Therefore, 74 × 64 = 2724.

(b) 129 × 413:

1  ×  413 =  413

2  ×  413 =  826

4  ×  413 = 1652

8  ×  413 = 3304

16 ×  413 = 6608

32 ×  413 = 13216

64 ×  413 = 26432

Adding the numbers corresponding to powers of 2 that make up 129:

413 + 0 + 1652 + 0 + 6608 + 0 + 26432 = 35405

Therefore, 129 × 413 = 35405.

(c) 58 × 692:

1  ×  692 =  692

2  ×  692 = 1384

4  ×  692 = 2768

8  ×  692 = 5536

16 ×  692 = 11072

32 ×  692 = 22144

Adding the numbers corresponding to powers of 2 that make up 58:

692 + 1384 + 0 + 5536 + 0 + 22144 = 30456

Therefore, 58 × 692 = 30456.

(d) 4968 × 1234:

1   ×  1234 =   1234

2   ×  1234 =   2468

4   ×  1234 =   4936

8   ×  1234 =   9868

16  ×  1234 =  19668

32  ×  1234 =  39468

64  ×  1234 =  78936

128 ×  1234 = 157872

256 ×  1234 = 315744

512 ×  1234 = 631488

1024 × 1234 = 1262976

Adding the numbers corresponding to powers of 2 that make up 4968:

1234 + 2468 + 4936 + 0 + 19668 + 39468 + 78936 + 157872 + 315744 + 0 + 1262976 = 6148172

Therefore, 4968 × 1234 = 6148172.

Using the ancient Egyptian multiplication method, we have computed the products for the given multiplications.

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d.0.003 choice correctly shows 0.3% as a decimal.

Here, we have,

given that,

the percent is: 0.3%

now, we know that,

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. percentage.

now, we get,

0.3%

=0.3 ÷ 100

=0.003

now, we know, 0.003 is a decimal.

so, we get,

d.0.003 choice correctly shows 0.3% as a decimal.

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Answer: 55

Step-by-step explanation:90-31= 59

59-4=55

Answer:

A. the first one is true because when x = 5, 4x - 1 equals 19. The second inequality doesn't allow for it to equal 19.

B. 9 is the value that makes the equation true. See below for work to show.

Step-by-step explanation:

4x -1 </= 19 is true because it's "less than or equal to" and when you change the x to 5, the answer is exactly 19.  4(5) - 1 = 19. The other sentence is "4x - 1 is less than 19", and that means it can't equal 19 for that sentence to be true.

Math + words = confusion sometimes. Does that make sense?

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

Now let's solve

5x + 2 = 47

Subtract 2 from both sides

5x = 45

divide both sides by 5

x = 9

Please lmk if you have questions.

Answer:

19/99

Step-by-step explanation:

We can see here that option A. Reliability; valid; reliable completes the sentence.

A researcher is an individual who engages in the systematic investigation and study of a particular subject or topic to expand knowledge, gain insights, and contribute to the existing body of information in that field. Researchers can be found in various disciplines, such as science, social sciences, humanities, technology, and more.

Thus, it will be:

They decided to use "Depression Index of Diagnosis" because it has a higher reliability than the other and only when it is valid it can be reliable.

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The amount paid on September 19 that is equivalent to $1,900 paid on December 1, with an interest rate of 5.9% compounded daily, is approximately $1,930.53.

To determine the amount paid on September 19 that is equivalent to $1,900 paid on December 1, we can use the concept of compound interest.

The formula to calculate compound interest is:

A = P(1 + r/n)^(nt)

Where:

A = final amount

P = principal amount (initial payment)

r = annual interest rate (in decimal form)

n = number of times interest is compounded per year

t = time in years

In this case, we need to find the equivalent amount on September 19. The time between September 19 and December 1 is approximately 74 days.

Using the formula, we can calculate the equivalent amount as follows:

A = 1900(1 + 0.059/365)^(365/74)

Calculating this expression will give us the equivalent amount on September 19. Let me calculate that for you.

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Answer:

Need to add picture

Step-by-step explanation:

Answer is : 9692

cxcvbnm

Answer:

12.61 miles

Step-by-step explanation:

The distance of lighthouse B from lighthouse A, the distance from lighthouse A to the boat and the distance of lighthouse B from the boat all form a triangle. Since lighthouse B is west of lighthouse A, and at a distance of 9 miles form lighthouse A, light house A is at a bearing of North 90° East of lighthouse B. The distance from lighthouse A to the boat is 6 miles, and the bearing of the boat from lighthouse B is North 64° East.

So, the angle between the distance from lighthouse B to the boat and lighthouse B to lighthouse A is 90° - 64° = 26°

Since we have two sides and an angle, we use the sine rule

a/sinA = b/sinB where a = 6, A = 26°, b = 9, B = unknown

So, sinB = bsinA/a

= 9sin26/6

= 3(0.4384)/2

= 1.3151/2

= 0.6576

B = sin⁻¹(0.6576)

= 41.11°

≅ 41.1°

We now find the third angle in the triangle, C(the angle facing the distance from lighthouse B to the boat) from

26° + 41.1° + C = 180° (sum of angles in a triangle)

67.1° + C = 180°

C = 180° - 67.1° = 112.9°

Using the sine rule again to find the third side, c(the distance from lighthouse B to the boat), we have

a/sinA = c/sinC

c = asinC/sinA

= 6sin112.9°/sin26°

= 6(0.9212)/0.4384

= 5.5271/0.4384

= 12.61 miles