When you multiply a Binomial by itself, you are Squaring a __?

There will be 0.84% chances that resulting sequence in cat to occur.

Total number of nucleotides floating around = 10

Let the event of picking cat be "A"

Number of cat in group = 3

Probability of picking cat is picked at first position = P(A1) = 3 / 10

= 0.3

Probability of picking cat is picked at second position = P(A2) =  2 / 9

= 0.223

Probability of picking cat is picked at third position = P(A3) = 1 / 8

= 0.125

so , probability of picking cat in first position and again in second position and again in third position will be = P(A1) . P(A2) . P(A3)

= 0.3 × 0.223 × 0.125

= 0.0084 required probability

There will be 0.84% chances that resulting sequence in cat

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Venn diagram:

The percentage of students that studied mathematics = 25%
The percentage of students that studied electronics = 20%
The percentage of students that studied Communications = 55%
The percentage of students that studied both electronics and Communications subjects = 10%

P(studied Communications or electronics or both subjects)
= P(studied Communications) + P(studied electronics) - P(studied both electronics and Communications subjects)
= 55% + 20% - 10%
= 65%

Therefore, the probability that a student studied Communications or electronics or both subjects is 65%.

P(studied mathematics and Communications subjects)
= P(studied mathematics) × P(studied Communications)
= 25% × 55%
= 13.75%

Therefore, the probability that a student studied mathematics and Communications subjects is 13.75%.

Drawing a Venn diagram, we have 25% studying Mathematics (M), 20% studying Electronics (E), and 55% studying Communications (C).10% studied both Electronics and Communications.

Therefore, the percentages become as follows: M = 25% - 10% = 15% E = 20% - 10% = 10% C = 55%.

Part 2 - To obtain the probability that a student studied Communications or Electronics or both subjects

P(Communication or Electronics) = P(Communication) + P(Electronics) - P(Communication and Electronics) = 55% + 20% - 10% = 65%.

The probability that a student studied Communications or Electronics or both subjects is 65%.

Part 3 -To obtain the probability that a student studied Mathematics and Communications subjects,

P(Mathematics and Communications) = P(Mathematics) * P(Communications) = 25% * 55% = 13.75%.

The probability that a student studied Mathematics and Communications subjects is 13.75%.

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Answer:

540$

Step-by-step explanation:

Answer:

Step-by-step explanation:

How to Solve for l: s=l+w

if s = l + w

l = s - w

z >1 for the given inequality for x.

To solve the following inequality for x.

-26 + 13z + 2 > 2 132

Since there is no x in this I'm assuming we are looking for z

Step 1: Simplify both sides

15r - 26 > -13z + 2

Step 2: Add 13z to both sides

15r - 26 + 13z > -13z + 2 + 13z

28 - 26 > 2

Step 3: Add 26 on both sides

28 - 26 + 26 > 2 + 26

28z > 28

Step 4: Divide both sides by 28z / 28 > 28 / 28

z > 1

Hence the answer is z >1 for the given inequality for x.

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The set 3 = y + 1 and x = -6 does not belong to the four sets of equations because it a linear equation with one variable.

Linear equation has only one variable. The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution

While simultaneous equations are two or more equations that are satisfied by the same set of values for the variables.

we can observe that the pairs;

y = 3x + 1

y = 3x - 1,

-2x + y = 2

-4x + 2y = 4 and,

y - 1 = 2(x + 4)

y + 3 = -5(x + 1)

all have more than one variable and can give the same set of values to satisfy for each pair.

But the set;

3 = y + 1 and x = -6 only have one variable each and will have only on solution.

In conclusion, only the set of equations 3 = y + 1 and x = -6 with one variable does not belong.

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The exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.

The exterior angle adjacent to the largest interior angle in a triangle is equal to the sum of the other two interior angles.

Let's call the measures of the angles in the triangle x, x, and 2x. Then,

x + x + 2x = 180 degrees,

so 4x = 180 degrees, and

x = 45 degrees.

The largest interior angle is 2x, or 90 degrees. The exterior angle that is adjacent to this angle is equal to 180 degrees minus the interior angle, which is 180 - 90 = 90 degrees.

So the exterior angle adjacent to the largest interior angle in a triangle with a 2:2:4 angle ratio is 90 degrees.

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Answer: 30 rides I think

Step-by-step explanation:

Answer:

30 rides

Step-by-step explanation:

y = mx + b

0 = -.5x + 20 - 5

0 = -.5x + 15

-15 = -.5x

30 = x

Answer:

D.9a+19b

Step-by-step explanation:

7(a+3b)+2(a-b)

7*a=7a

7*3b=21b

2*a=2a

2*-b=-2b

7a+21b+2a-2b

7a+2a=9a

21b-2b=19b

Hope this helps:)

Answer: they dont have the same numbers

Step-by-step explanation:

Answer:

Function A is 2

Function B is 5

Difference is -3

Step-by-step explanation:

The y intercept is the rate of change or the value of zero

Answer:

she starts w/ $900 I think

Step-by-step explanation:

Answer:

1. 900

2. 50 dollars

3. 6 weeks

4. 300 dollars

5. 75 dollars

1. when the number of weeks are at 0, the money she has in her account is 900. So, she has 900 dollars in her account at the beginning.

2. she starts off with 900. The next week, she has 850 in her account, then 800, and so on. therefore, she spends 50 dollars a week.

3. 1/3 times 900 is 300, so she needs to spend 300 dollars. 300/50 is 6, so it will take her 6 weeks to spend 300 dollars.

4. If she spends 50 a week over 12 weeks then multiply 50 and 12. You get 600. we know she starts with 90p, so 900-600 is 300. she spends 600 and ends up with 300 in 12 weeks.

5. we know she spends 50 a week. 50 times 1.5 is 75, so hee brother spends 75 dollars a week

Answer:

good luck

Step-by-step explanation:

good luck

Answer: 9,676,000

Step-by-step explanation:

Increase the digit by 1 if the previous digit is 5 or above

Answer: 9676000

Step-by-step explanation:  you have to go the thousands place and round up because anything 5 or below round up

Answer:

yes, because if you input 5 for x it would be -8

and if u input -9 for y it is right as -8 is closer to 0 than -9

The time taken for 21,000 spectators to vacate the stadium, if only 15 exits are functional is 28 minutes

A variation is a relation between a set of values of one variable and a set of values of other variables

Let E, N and T represent the number of exits, the number of spectators and the time taken to exit the stadium respectively

We can write the variation as:

T α N/E

T = kN/E  (where k is constant of proportionality)

when N = 25,000, E = 25, T = 20:

T = kN/E

k = TE/N

k = (20×25)/25000 = 0.02

when N = 21,000 and E = 15:

T = kN/E

T = (0.02×21,000)/15 = 28 minutes

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If the columns of matrix B are linearly dependent, then the columns of AB are also linearly dependent.

Suppose the columns of matrix B are linearly dependent, which means there exist constants c₁, c₂, ..., cₙ (not all zero) such that c₁b₁ + c₂b₂ + ... + cₙbₙ = 0, where b₁, b₂, ..., bₙ are the columns of B.

Now, let's consider the product AB. Suppose A is an m × n matrix.

The jth column of AB is given by the product AB(:, j) = A(b₁j) + A(b₂j) + ... + A(bₙj), where b₁j, b₂j, ..., bₙj are the jth columns of B.

Substituting the linear dependence relation for the columns of B into the expression for AB(:, j), we get:

AB(:, j) = A(c₁b₁ + c₂b₂ + ... + cₙbₙ)

         = c₁A(b₁) + c₂A(b₂) + ... + cₙA(bₙ)

Since matrix multiplication distributes over column vectors, we have:

AB(:, j) = c₁A(b₁) + c₂A(b₂) + ... + cₙA(bₙ)

This shows that the jth column of AB can be expressed as a linear combination of the columns of A, multiplied by the corresponding coefficients c₁, c₂, ..., cₙ. Therefore, if the columns of B are linearly dependent, the columns of AB are also linearly dependent.

In conclusion, if the columns of matrix B are linearly dependent, then so are the columns of the product AB.

Complete Question:

Show that if the columns of B are linearly dependent, then so are the columns of AB.

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Answer:

Step-by-step explanation:

64% as a fraction in its simplest form is 32/50.

As a decimal, 64% is equal to 0.64.

Answer:

The second one (answer of 3), but the other ones could've worked, they were just calculated wrong.

Step-by-step explanation:

Here's why each one did or didn't work:

First answer- you had the right idea by cancelling out the two in the denominator, however if you're going to divide 2, you have to divide it from everything in the equation. Meaning you would divide 4 by 2 to get 2, and then add the 1 + 2 to get final answer 3.

Second answer- since you added the numerator separately and then did the basic division, this worked.

Third one- similarly to the first one, you would have to also divide the 2 by 2 to get 1, then adding 1 + 2 to get 3.

The relative frequency distribution of the three categories includes

We must get percentage of students in Yes (Y), No (N) and No Response (NR) categories to allow us to create the relative frequency distribution for the athletic department.

Data:

The total number of students surveyed is 1000.

The percentage of students who answered Yes will be:

= (Y / Total) * 100

= (733 / 1000) * 100

= 73.3%

The percentage of students who answered No will be:

= (N / Total) * 100

= (162 / 1000) * 100

= 16.2%

The percentage of students who did not respond will be:

= (NR / Total) * 100

= (105 / 1000) * 100

= 10.5%.

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Answer:

y-coor

Step-by-step explanation:

The complement of the given event is that 29% of the person's credit card purchases are less than seventy dollars.

To describe the complement of the given event, we need to first understand what complement means in probability theory. The complement of an event is the set of outcomes that are not included in the event.

So, the given event is that 71% of a person's credit card purchases are seventy dollars or more. This means that 100% - 71% = 29% of the person's credit card purchases are less than seventy dollars. This is the complement of the given event.

Hence, the complement of the given event is that 29% of the person's credit card purchases are less than seventy dollars.

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If we use the ordered pair (5, -2), then we have:

5 - 4*(-2) ≥ −5

5 + 8 ≥ −5

13 ≥ −5

This is true, so the ordered pair (5, -2) is a solution.

An ordered pair will be a solution of an inequality only if it makes the statement true.

In this case, it means that the left side is equal or larger than the right side.

So, what we need to do is evaluate the given points in the inequality, and see which one makes the inequality true.

If we use the ordered pair (5, -2), then we have:

5 - 4*(-2) ≥ −5

5 + 8 ≥ −5

13 ≥ −5

This is true, so the ordered pair (5, -2) is a solution.

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Answer: (5,1) and (4, -2)

Step-by-step explanation:

I had the same quiz with this question. :)

Answer:

0.015625

Step-by-step explanation:

the answer is 0.015625

Answer:

1/4^3

Step-by-step explanation:

1/4^7 x 1/4^-4 = 1/4^ 7+-4

=1/4^3

Answer:6

Step-by-step explanation:

when dividing by a fraction. you can multiply by its reciprical

15/4 *8/5

(15*8)/(4*5)

120/20

If you need to simplify

6

EDIT: answer above got this right before me. for some reason I did 8*5 as 30  :/

a) The null hypothesis (H0) states that the population average amount dispensed is equal to 8 ounces. The alternative hypothesis (Ha) states that the population average amount dispensed is different from 8 ounces.

b) To test the hypothesis, we can perform a one-sample t-test. The sample mean is 7.983 ounces, which is slightly below the hypothesized value of 8 ounces. We want to determine if this difference is statistically significant.

c) By conducting the one-sample t-test, we can calculate the p-value associated with the observed sample mean of 7.983 ounces. The p-value represents the probability of obtaining a sample mean as extreme as the observed value, assuming that the null hypothesis is true.

If the calculated p-value is less than the significance level (0.05 in this case), we reject the null hypothesis in favor of the alternative hypothesis, indicating evidence that the population average amount dispensed is different from 8 ounces. If the p-value is greater than the significance level, we fail to reject the null hypothesis, suggesting that there is not enough evidence to conclude that the population average is different from 8 ounces.

The interpretation of the p-value in this case is that it represents the probability of observing a sample mean of 7.983 ounces or a more extreme value, assuming that the true population mean is 8 ounces. A small p-value indicates that the observed sample mean is unlikely to have occurred by chance alone under the assumption of the null hypothesis. Therefore, a small p-value provides evidence against the null hypothesis and suggests that the population average amount dispensed is likely different from 8 ounces.

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Answer:

Prejudice is just a feeling. Discrimination is acting on that negative feeling.

Step-by-step explanation:

Answer:

prejudice is from the mind with no real reason to act in that way and discrimination is excluding or treating unfairly for things people cannot control like race, ethnicity, sex. discrimination often compares one thing to another

Answer:

option a.

2_/2

...................

After finding out the value of ln (52) and rounding value it to the nearest ten thousandth, we have the value as 3.9512.

Given logarithm function is ln (52).

We have to find out the value of the logarithm by rounding it to the nearest ten thousandth.

The easiest way to do this is to make use of a calculator where we can put the value of natural log.

After putting ln (52) in the calculator, we have

ln (52) = 3.951243719

In order to round the answer of ln (52) to the nearest ten thousandth, we have to first check if the number after the ten thousandth one is greater than 5 or if it is not.

Here, the ten thousandth number is 2. The number after the ten thousandth one is 4 which is less than 5. So, there will be no increase in the ten thousandth number.

Therefore, rounding the value of ln (52) to the nearest ten thousandth, we have the value as 3.9512.

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The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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