Consider a two-tailed test with a level of confidence of 99%. The p-value is determined to be 0.05; therefore, the null hypothesis ___________.

Equation of sphere passing through origin and center at (4, 1, 3) is : (x - 4)² + (y - 1)² + (z - 3)² = 26.

In order to find the equation of the sphere which passes through the origin and has its center at (4, 1, 3), we use the general-equation of a sphere : (x - h)² + (y - k)² + (z - l)² = r²,

where (h, k, l) represents the center of sphere and r = radius,

In this case, the center is given as (4, 1, 3), and the sphere passes through the origin, which is (0, 0, 0).

Since the sphere passes through the origin, the distance from the center to the origin is equal to the radius.

So, distance is : r = √((4 - 0)² + (1 - 0)² + (3 - 0)²)

= √(16 + 1 + 9)

= √26

Therefore, the equation of the sphere is : (x - 4)² + (y - 1)² + (z - 3)² = 26.

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Answer:

employee's hours worked per week

Step-by-step explanation:

check answer

Answer:

In this function, x represents the number of 2) HOURS WORKED PER WEEK.

Answer:

20 badges

Step-by-step explanation:

3×2=6 (indoor activities)

7×2=14 (outdoor activities)

6+14=20

Knowing that to calculate the area of a circle we use this formula:

A = pi * r² (taking pi = 3.14)

So we replace A by 314 and solve:

Answer: The radius of the circle is 10 cm.✅

base area = pi r2

9 pi = pi r2

9=r2

r= root 9

radius = 3cm

vol = 1/3pir2h

1/3pir2h=12pi

height =4cm

slant height = root ( r2+h2)

9+16=25 root 25 =5

slant height = 5cm

surface area = pir(r+(rooth2+r2))

=75.4cm2

Your longitude in DMS is 135 degree. So the option D is correct.

This is because there are 12 hours left in the local time ( i.e. 12 hours noontime or mid-day).

As UT (or GMT) time is 9 p.m., there are 9 hours between GMT time and local time.

9 hours = 9 × 60 minutes = 540 minutes

Now, we know that:

Every four minutes, the Earth turns one degree.

Thus, 1-degree longitude difference = 4 minutes

Or, 4 minutes of time difference = 1 degree of longitude

Or, 1 minute of time difference = 1/4 degree of longitude

Or, 540 minutes of time difference = (1/4) × 540 degrees of longitude

540 minutes of time difference = 135 degrees of longitude

Also, we can infer that the current location is in the Western hemisphere because we know that it is 9 hours behind GMT (or UT) time.

Hence, the longitude of the current location = 135⁰

So the option 4 is correct.

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The complete question is:

Your chronometer is set for Greenwich Mean Time (GMT or Universal Tim, UT). High noon at your present location is 9 pm UT. What is your longitude in DMS (not decimal degrees)?

1. 30° 18'W

2. 30° 16'W

3. 30° 17'W

4. none of the above

Answer:

q < 5 or q > 7

Step-by-step explanation:

-11 -2q > -21                          or                       4q + 1 > 29

-2q > -10                                                         4q > 28

q < 5                                                                q > 7

Answer:

B.

Step-by-step explanation:

-20 = -1/20

I HOPE YOU UNDERSTAND!!! ^u^

Answer:V=1/12pi-r^3

Step-by-step explanation:

Answer:

If your going to graph it , it would be x=3/2y+ -9/2

Step-by-step explanation:

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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The given set of probabilities are: (a) p(E1|E3) = 3/10, (b) p(E3|E2) = 1/2, (c) p(E2|E3) = 3/10, (d) p(E3|E1 ∩ E2) = 1/3, (e) E1 and E2 are not independent, (f) E2 and E3 are not independent.

(a) To find p(E1|E3), we need to find the probability that the bit string begins with 1 given that it has exactly three 1s. Let A be the event that the bit string begins with 1 and B be the event that the bit string has exactly three 1s. Then,

p(E1|E3) = p(A ∩ B) / p(B)

To find p(A ∩ B), we need to count the number of bit strings that begin with 1 and have exactly three 1s. There is only one such string, which is 10011. To find p(B), we need to count the number of bit strings that have exactly three 1s. There are 10 such strings, which can be found using the binomial coefficient:

p(B) = C(5,3) / 2^5 = 10/32 = 5/16

Therefore, p(E1|E3) = p(A ∩ B) / p(B) = 1/10.

(b) To find p(E3|E2), we need to find the probability that the bit string has exactly three 1s given that it ends with 1. Let A be the event that the bit string has exactly three 1s and B be the event that the bit string ends with 1. Then,

p(E3|E2) = p(A ∩ B) / p(B)

To find p(A ∩ B), we need to count the number of bit strings that have exactly three 1s and end with 1. There are two such strings, which are 01111 and 11111. To find p(B), we need to count the number of bit strings that end with 1. There are two such strings, which are 00001 and 00011.

Therefore, p(E3|E2) = p(A ∩ B) / p(B) = 2/2 = 1.

(c) To find p(E2|E3), we need to find the probability that the bit string ends with 1 given that it has exactly three 1s. Let A be the event that the bit string ends with 1 and B be the event that the bit string has exactly three 1s. Then,

p(E2|E3) = p(A ∩ B) / p(B)

To find p(A ∩ B), we need to count the number of bit strings that have exactly three 1s and end with 1. There are two such strings, which are 01111 and 11111. To find p(B), we already found it in part (a), which is 5/16.

Therefore, p(E2|E3) = p(A ∩ B) / p(B) = 2/5.

(d) To find p(E3|E1 \ E2), we need to find the probability that the bit string has exactly three 1s given that it begins with 1 but does not end with 1. Let A be the event that the bit string has exactly three 1s, B be the event that the bit string begins with 1, and C be the event that the bit string does not end with 1. Then,

p(E3|E1 \ E2) = p(A ∩ B ∩ C) / p(B ∩ C)

To find p(A ∩ B ∩ C), we need to count the number of bit strings that have exactly three 1s, begin with 1, and do not end with 1.

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Squares are the numbers that are produced when a value is multiplied by itself.

If expression be \($9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$\) then the value exists \($11 \sqrt{2}-5 \sqrt{7}$\).

The radical symbol for the number's root is "√" in this instance. The square of the positive number is represented by multiplying it by itself.

Squares are the numbers that are produced when a value is multiplied by itself. In contrast, a number's square root exists a value that, when multiplied by itself, returns the original value.

The original number can be attained by multiplying the square root of an integer by itself.

Only a perfect square number can have a perfect square root. Even perfect squares have an even square root. An odd perfect square will contain an odd square root. A perfect square cannot be negative and hence the square root of a negative number exists not defined.

Let the expression be \($9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$\)

Now, \($\sqrt{8}=\sqrt{2 \times 2 \times 2}=2 \sqrt{2}$\)

\($\sqrt{28}=\sqrt{2 \times 2 \times 7}=2 \sqrt{7}$\)

therefore \(9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$\)

simplifying the given expression, we get

\($=9 \sqrt{2}-3 \sqrt{7}+2 \sqrt{2}-2 \sqrt{7}$\)

\($=9 \sqrt{2}+2 \sqrt{2}-3 \sqrt{7}-2 \sqrt{7}$\)

\($=11 \sqrt{2}-5 \sqrt{7}$\)

Therefore, the correct answer is option a) \($11 \sqrt{2}-5 \sqrt{7}$\)

The complete question is:

Simplify \($9 \sqrt{2}-3 \sqrt{7}+\sqrt{8}-\sqrt{28}$\)

a) \($11 \sqrt{2}-5 \sqrt{7}$\)

b) \($11 \sqrt{4}-5 \sqrt{14}$\)

c) \($6 \sqrt{5}$\)

d) \($6 \sqrt{9}$\)

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Answer: each store gets 787 pairs and 1 is left over

Step-by-step explanation:Divide 4723 by 6

The lack of calcium lines indicates that the star's outer atmosphere is not dense enough to produce observable absorption lines.

Calcium lines are dark absorption lines in the spectrum of a star or other astronomical object that are produced by the absorption of specific wavelengths of light by calcium atoms in the object's outer atmosphere.

If a star lacks calcium lines in its spectrum, it is likely to be a relatively young and hot star, with a surface temperature above about 7,000 K. This is because the calcium lines that are typically observed in the spectra of cooler stars are formed in the star's outer atmosphere, which is cooler and more diffuse than the layers closer to the star's core.

The absence of calcium lines in the spectrum of a star suggests that its outer atmosphere is relatively thin or transparent, and that the star's light is not passing through enough calcium-rich material to produce observable absorption lines.

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Answer:

a

Step-by-step explanation:

A Poisson random variable represents the number of occurrences of an event in a fixed interval of time or space. It is a discrete random variable, which means that it can only take on integer values, starting from zero. Therefore, the smallest numerical value that a Poisson random variable can be is zero.

This means that there is a possibility that the event will not occur at all during the given interval. For example, if we are counting the number of customers who visit a store in an hour, it is possible that no customers show up during that hour, resulting in a Poisson random variable of zero.

However, the probability of this occurring depends on the average rate of the event occurring, which is denoted by the parameter λ in the Poisson distribution. The larger the value of λ, the smaller the probability of a Poisson random variable being zero.

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Answer:

B. 12.40

Step-by-step explanation:

Add all the hours

Total profit divided by the amount of hours

Answer:

A & C

Step-by-step explanation:

Factors of 18 : 1, 2, 3, 6, 9, 18

18

/\

2 9

/\

3 3

Prime factorization : 18 = 2x3x3

18

/\

3 6

/\

2 3

Prime factorization : 18 = 3x2x3

To count the number of relations R on set A such that at least one ordered pair in R has element a as its first element, we can consider the total number of relations on A and subtract the number of relations that do not have a as the first element in any ordered pair.

Given:

- Set A has 6 elements.

- Element a is one of the elements in A.

- Element b is also an element in A, and it is distinct from element a.

The total number of relations on set A is given by 2^(n^2), where n is the number of elements in A. In this case, n = 6.

Total number of relations on A = 2^(6^2) = 2^36

Now, let's calculate the number of relations on A that do not have a as the first element in any ordered pair. For any ordered pair in a relation, the first element can be any of the remaining 5 elements in A (excluding a). Similarly, the second element can be any of the 6 elements in A.

Number of relations without a as the first element = 5 * 6^2 = 180

Therefore, the number of relations R on A such that at least one ordered pair in R has a as its first element is:

Number of relations with a as the first element = Total number of relations on A - Number of relations without a as the first element

Number of relations with a as the first element = 2^36 - 180

Please note that the resulting number is an extremely large number.

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The value of the integral by reversing the order of integration is (81/4)(96e^(12) - 1).

We need to evaluate the integral of 3y over the region R bounded by x=0, x=3, y=27, and y=6e^(4x) by reversing the order of integration.

To reverse the order of integration, we first draw the region of integration, which is a rectangle. Then, we integrate with respect to x first. For each value of x, the limits of integration for y are from 27 to 6e^(4x). Thus, we have:

∫(0 to 3) ∫(27 to 6e^(4x)) 3y dy dx = ∫(27 to 6e^(12)) ∫(0 to ln(y/6)/4) 3y dx dy

To find the new limits of integration for x, we solve y=6e^(4x) for x to get x=ln(y/6)/4. The limits of integration for y are still from 27 to 6e^(12).

Now, we can evaluate the integral using the reversed order of integration:

∫(27 to 6e^(12)) (∫(0 to ln(y/6)/4) 3y dx) dy = ∫(27 to 6e^(12)) (3y/4 ln(y/6)) dy

Integrating this expression gives:

(3/4)(y ln(y/6) - (9/4)y) from y=27 to y=6e^(12) = (81/4)(96e^(12) - 1)

Therefore, the value of the integral by reversing the order of integration is (81/4)(96e^(12) - 1).

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Answer:

12

Step-by-step explanation:

Answer:

false it 6480

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

36^1 = 36

5√36^4 ≠ 36

Answer:

8% off

Step-by-step explanation:

.2 off/2.5 total = 0.08

0.08 = 8%

Answer:

derivative on r^2 with respect to r

one time derivative is 2r

second time derivative is 2

third time derivative is 0

Answer:

You can click *BRAINLY* the symbol, which takes you to brainly home. Click the dropdown next to the little carrot and choose your desired subject.

Hope this Helps!

Answer:

2400 candies

Step-by-step explanation:

2 hrs - 80 boxes w/ 10 candies each = 800 candies

2 x 3 = 6

800 x 3 = 2400

So:

In 6 hours, the candy maker can make 2400 candies.

Hope this helped!

Answer:

2400 candy thank me later

The resultant answer after solving the given expression is (C) 2/3.

So, solve for ⁴√16/81:

Apply radical rule as follows:

We know, ⁴√16 = 2.

Then,

Then,

Therefore, the resultant answer after solving the given expression is (C) 2/3.

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