conduct an anova at the alpha = 0.05 level to see if the state has an effect on the depression score. what is the corresponding f statistic and p value?

The statement (b) the sum is a binomial with a degree of 3 is correct.

Expressions are defined as the combination of constants and variables with mathematical operators.

We have expressions:

6s²t – 2st²

4s²t – 3st²

Adding the above two expressions, we get;

= (6s²t – 2st²) + (4s²t – 3st²)

Combining like terms:

= 10s²t - 5st²

The above expression has degree 3(2+1)

Thus, statement (b) the sum is a binomial with a degree of 3 is correct.

Complete question:

What is true about the sum of the two polynomials?

6s2t – 2st2

4s2t – 3st2

a.) The sum is a binomial with a degree of 2.

b.) The sum is a binomial with a degree of 3.

c.) The sum is a trinomial with a degree of 2.

d.) The sum is a trinomial with a degree of 3.

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Answer: Starting with the given equation:

(cos θ)(cos θ) + 1 = (sin θ)(sin θ)

We can use the identity cos² θ + sin² θ = 1 to rewrite the right-hand side:

(cos θ)(cos θ) + 1 = 1 - (cos θ)(cos θ)

Combining like terms, we get:

2(cos θ)(cos θ) = 0

Dividing both sides by 2, we get:

(cos θ)(cos θ) = 0

Taking the square root of both sides, we get:

cos θ = 0

This equation is true for θ = π/2 + kπ, where k is any integer. So the solutions to the equation are:

θ = π/2 + kπ, where k is any integer.

Enjoy!

Step-by-step explanation:

Answer:

I hope it's helpful...good luck

Answer: B

\(=\begin{pmatrix}7&13\\ 19&18\end{pmatrix}\)

Step-by-step explanation:

\(\begin{pmatrix}1&3\\ -2&5\end{pmatrix}\begin{pmatrix}-2&1\\ 3&4\end{pmatrix}=\begin{pmatrix}1\cdot \left(-2\right)+3\cdot \:3&1\cdot \:1+3\cdot \:4\\ \left(-2\right)\left(-2\right)+5\cdot \:3&\left(-2\right)\cdot \:1+5\cdot \:4\end{pmatrix}=\begin{pmatrix}7&13\\ 19&18\end{pmatrix}\)

The child's body weight is 28 kg. The ampicillin dose is 25 mg/kg. To find the required dose of ampicillin for the child, you need to multiply the child's weight by the dosage. 28 kg × 25 mg/kg = 700 mg The required dosage is 700 mg. A 250 mg capsule of ampicillin is given.

Therefore, the number of capsules required is calculated as follows. Number of capsules = Required dose/Capsule dosage = 700/250 = 2.8 capsules The number of capsules to be given is 2.8. Round up to 3 capsules to be given. Therefore, 3 capsules of ampicillin should be administered to the child.6a. A bottle that contains Dilantin has a concentration of 125 mg/mL and a volume of 5.0 mL. You may use the following conversion formulae to find out how many milligrams are contained in this bottle.

Dilantin bottle: 5.0 mL × 125 mg/mL = 625 mg/mL Therefore, there are 625 milligrams of Dilantin in a bottle of 5.0 mL. The oral suspension of Dilantin has a concentration of 125 mg/mL. The bottle is 5.0 mL in volume. To find the number of milligrams in the bottle, you need to multiply the concentration and volume. Concentration = 125 mg/mL Volume = 5.0 mL125 mg/mL × 5.0 mL = 625 mg The bottle contains 625 mg of Dilantin.6b. The patient requires a dose of 100 mg of Dilantin, which has a concentration of 125 mg/mL. To determine the volume of Dilantin that should be given, you may use the following conversion formula

Dilantin dose = Volume × Concentration

Rearrange the formula to solve for the volume.

Volume = Dilantin dose/Concentration

= 100/125 = 0.8 mL Therefore, 0.8 mL of Dilantin should be administered to the patient. patient requires a dose of 100 mg of Dilantin. The concentration of Dilantin is 125 mg/mL. To calculate the volume of Dilantin to be administered, we can use the formula Dilantin dose = Volume × Concentration Rearrange the formula to solve for the volume.

Volume = Dilantin dose/Concentration

= 100/125 = 0.8 mL Therefore, 0.8 mL of Dilantin should be administered to the patient.

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Answer:

B. The given value is a for the because the data collected represent a . statistic year sample

Step-by-step explanation:

A population is the total of similar items that are of interest to the researcher.

Since the researcher cannot measure each of these items he chooses a part of it to measure. This part of the population is called a sample.

A good sample is representative of the larger population. Deduction made from the sample is used to represent the whole population.

In this scenario the population is the whole year, and the sample is 41 days.

So the mean derived from the sample is statistic of sample from the year.

This can be used to make deductions about the whole year.

Answer:

Choice a : $96,600

Step-by-step explanation:

The net worth of a person is computed as total assets - total liabilities in money terms

Ben's assets are as follows:

Townhome: $195,000

Savings: $5000

Car: $38,000

Total Assets: 195000 + 5000 + 38000 = $238,000

Ben's liabilities

Home Loan: $120,000

Credit Card: $1,400

Car Loan: $20,000

Total Liabilities = 120000 + 1400 + 20000 = $141,400

Net Worth = 238000 - 141400 = $96,600   (Answer is choice a)

Answer:

A

Step-by-step explanation:

The part of the z-score denoting hundredths is found in the interior of the table.

In a standard normal distribution table, also known as a z-table, the z-scores are presented with two parts: the tenths and the hundredths. The tenths are found in the row headings (or sometimes column headings) on the edges of the table, while the hundredths are located in the columns within the interior of the table.

To find a specific z-score in a z-table, first identify the tenths value in the row headings, and then locate the corresponding hundredths value in the columns of the same row. The intersection of the row and column will provide you with the desired probability associated with that particular z-score. The z-table helps in calculating the area under the curve in a standard normal distribution, which is essential for various statistical analyses and probability calculations.

Remember, the z-score is a measure of how far a data point is from the mean in terms of standard deviations. A positive z-score indicates that the data point is above the mean, while a negative z-score indicates that it is below the mean.

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Answer:

C

Step-by-step explanation:

because acute angles have to be less than 90 degrees so therefore it's C.

Answer:

it would be c 78 degrees because under 90 degrees makes a acute angle anything that is under 90 degrees makes acute and anything over 90 degrees makes obtuse angle so c

Step-by-step explanation:

True.

If adding two positive integers results in a negative number, it means that an overflow has occurred. The overflow flag is set when the result of an operation is too large to be represented with the given number of bits.
If bx and dx both contain positive integers and adding them produces a negative result, the overflow flag will be set. This is because when two positive integers are added, the result should also be a positive integer. If the result is negative, it means there was an overflow during the addition process, and the overflow flag will be set to indicate this issue.

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Answer:

128

Step-by-step explanation:

you do 16 x 16 (256) and then divide it by 2

Answer:

x = -1

Step-by-step explanation:

-1 = x+6-6

Combine like terms

-1 = x

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−1=x+6−6

Step 1: Simplify both sides of the equation.

−1=x+6−6

−1=x+6+−6

−1=(x)+(6+−6)  (Combine Like Terms)

−1=x

−1=x

Step 2: Flip the equation.

x=−1

The probability that no numbers are repeated = \(\frac{720}{1000}=0.72\)

The probability that there are no repeated digits in a 3-digit pin number is 0.72.

Formula used:

\(P(n,r)=\frac{n!}{(n-r)!}\\ Probability=\frac{Number of favourable outcomes}{Total number of events in the samples pace}\)

There are 10 digits (0,1,2,3,4,5,6,7,8,9) to choose from.

Therefore, the total number of possible 3-digit pin numbers with no repeated digits is

\(P(10,3)=\frac{10!}{(10-3)!}\\P(10,3)= \frac{10!}{7!}\\P(10,3)=720\)

The total number of possible 3-digit pin numbers \(= 10 * 10 * 10 = 1000\).

Thus, the probability that no numbers are repeated = \(\frac{720}{1000}=0.72\)

Therefore, the probability that there are no repeated digits in a 3-digit pin number is 0.72.

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Answer:

3.3 or 10/3 or 3  1/3

Step-by-step explanation:

hope this helps

Answer:

\(x = \frac{10}{3}\)  

I hope this helps!

Answer:

She spend (8/10) or (4/5) of her cash on gift.

Step-by-step explanation:

4/5 is simplified.

but not simplified its 8/10

To determine on what interval the function f is increasing, we need to find the intervals where the derivative f'(x) is positive.

Since f'(x) is a product of three factors, it will be positive on an interval where all three factors are positive, or where two of the factors are negative and one is positive.
To determine these intervals, we can use a sign chart:

|   x    |  -∞  |   1  |   4  |   7  |  +∞  |
|:------:|:----:|:---:|:---:|:---:|:----:|
| (x-1)^2|  +   |  0  |  +   |  +   |  +   |
| (x-4)^7|  -   |  -   |  0  |  +   |  +   |
| (x-7)^4|  -   |  -   |  -   |  0  |  +   |
|f'(x)   |  -   |  0  |  +   |  0  |  +   |

From the sign chart, we see that f'(x) is positive on the intervals (-∞,1) and (4,7). Therefore, the function f is increasing on the interval (-∞,1) and (4,7).
In interval notation, we can write this as:
f is increasing on the intervals (-∞,1) and (4,7), or
f is increasing on the interval (-∞,1) ∪ (4,7).

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Answer:

10

Step-by-step explanation:

With this question you must find the LCM for 2 and 5.

Multiples of 2= 2,4,6,8,10

Multiples of 5= 5,10

10 is the least common multiple making it the first number that the boxes can be at the same height with.

Answer:

7

Step-by-step explanation:

Answer:

When you multiply the variables with different exponents, you add. When you multiply an exponent with another exponent, you multiply.

Step-by-step explanation:

Answer above

Answer:

70.2

Step-by-step explanation:

use a calculator

The probability that two random people being born on the same day is thus 1/365 or about 0.3%

We apply our probability model above to the task at hand.

First, we suppose Person 1. This person is born on a certain date of the year.

Since this is a random person, we can fix this person's birthday to a specific date (a number between 1 and 365) without loss of generality for the problem.

Let's say this person is born on 10. (i.e. January 10th)

Now, we take Person 2. In order to achieve the event that Person 2 is born on the same date as Person 1,

we need them to be born on 10. In other words, we seek the probability of Person 2 being born on 10.

Based on our model, we have that this probability is 1/365.

The probability that two random people being born on the same day is thus 1/365 or about 0.3%

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a) The change-of-coordinates matrix from basis A to basis B is C = [4 -1 0; -1 1 1; 0 1 -2].

b)  The vector [x]g for x = 3a + 4a2 + az is [11; -2; -6] in the basis B.

a. To find the change-of-coordinates matrix from basis A to basis B, we need to express the vectors in A as linear combinations of the vectors in B.

From the given information, we have

a = 4b – b2, a = -b1 + b2 + b3, and az = b2 – 2b3.

We can rewrite these equations as linear combinations:

a = 4b – b2 + 0b3, a = -b1 + b2 + b3, and az = 0b1 + b2 – 2b3.

Using these expressions, we can construct a matrix where the columns correspond to the vectors in A expressed in terms of the vectors in B. The change-of-coordinates matrix C is given by:

C = [4 -1 0; -1 1 1; 0 1 -2].

b. To find [x]g for x = 3a + 4a2 + az, we can use the change-of-coordinates matrix C.

First, we express the vector x in terms of the basis A:

x = 3(aj) + 4(az) + (az).

Then, we can rewrite x in terms of the basis B using the change-of-coordinates matrix:

[x]g = C[x]A.

Calculating the matrix-vector multiplication, we have:

[x]g = C * [3; 4; 1] = [11; -2; -6].

Therefore, the vector [x]g in the basis B is [11; -2; -6].

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Given question is incomplete, the complete question is below

Let A = {aj, az, az} and B = {bı, b2, b3} be bases for a vector space V, and suppose a = 4b – b2, a= -b + b2 + b3, and az = b2 – 2b3. a. Find the change-of-coordinates matrix from A to B. b. Find [x]g for x = 3a + 4a2 + az.

Answer:

|--|---------|---------|----------|-------|-------|-------|--------------|-|

-⅘ - 2.06  -2 6/7       -6    2/10   0.5   5 ⅗          11.5

(This is a rough answer, it just mainly just shows the order of the numbers).

Step-by-step explanation:

1. -4/5

2. - 2.06

3. -2 6/7

4. -6

5. 2/10

6. 0.5

7. 5 ⅗

8. 11.5

Answer:

35.225 I believe

Step-by-step explanation:

You can always check on Slader.

Answer:

negative

hope it helps;)

Answer:

i dont see any choices but whatever: -3

gcf = 7

= 7q(3b + 2 - 4r)

4x - 8y + 16z

gcf = 4

= 4(x - 2y + 4z)

1)

= 7q ( 3b+2-4r )

2)

= 4(x−2y+4z)

hope this helps

The probability that the red die shows a three and the blue die shows a number greater than three is 1/12

From the question, we have the following parameters that can be used in our computation:

Red die

Blue die

The sample space of a die is

{1, 2, 3, 4, 5, 6}

using the above as a guide, we have the following:

P(3) = 1/6

P(Greater than 3) = 1/2

So, we have

P = 1/2 * 1/6

Evaluate

P = 1/12

Hence, the probability of a three and and a number greater than three is 1/12

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Answer:

a

Step-by-step explanation:

The value of x will be; x = 14,000

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that  the equation 750 +0.05x = 1,100+ 0.025x

Here, we need to solve for x;

750 +0.05x = 1,100+ 0.025x

combine the like terms;

750 - 1,100= -0.05x + 0.025x

-350 = - 0.025x

x = 14,000

Therefore, the solution will be as;

x = 14,000

The value of x will be; x = 14,000

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The ratio between the circumference and curved surface area is 1:4.

Given, The circumference, which in geometry refers to a circle or ellipse's perimeter, is derived from the Latin circumference, which means "carrying around." In other words, the circumference would be the length of the circle's arc if it were opened out and straightened out to a line segment. The radius surrounding any closed figure is known as its perimeter more generally. A circle's circumference, or the location corresponding to a disk's edge, may also be referred to. Any one of a sphere's big circles can be considered to be its circumference, which is its length.

Circumference=2πr=6

r=6×(7/22)(1/2)

r=21/22

If the radius is doubled then,

2×(21/22)=21/11

Curved surface area=2πrh

=2×(22/7)×(21/11)×4

=336/7

=48

We know that circumference of a circle=2πr

=2×(22/7)×(21/11)

=12

Therefore, Circumference :CSA

=12:48

=1:4

Hence, the ratio between the circumference and curved surface area is 1:4.

So, option c is correct.

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