Mention the first executive members of Nigeria union of teacher and their respective
positions.

Answer:

False. The product of two negative integers is a positive integer.

We are asked to prove the congruency of the triangles GFM and BCM. To prove congruency we initially prove that angles:

Are congruent by the vertical angles theorem.

Also, since segments CB and FG are parallel, this means that:

This is by alternate interior angles theorem.

Finally, the congruency is proven by ASA (Angle Side Angle) since we have two congruent pairs of angles and we are given that sides CM and MF are congruent. Therefore, the triangles are congruent.

We can rewrite the equation of the circle as:

(x + 4)^2 + (y + 4)^2 = 12^2

So the center is (-4, -4) and the radius is 12 units.

For a circle of radius R and center (a, b) the equation is:

(x - a)^2 + (y - b)^2 = R^2

Here we have the equation:

x^2 + 8x + y^2 + 8y - 112 = 0

We can complete squares to get:

(x^2 + 8x) + (y^2 + 8y) - 112 = 0

(x^2 + 2*4*x + 4^2) +  (y^2 + 8y + 4^2) - 4^2 - 4^2 - 112 = 0

(x + 4)^2 + (y + 4)^2 = 112 + 16 +  16 = 144

(x + 4)^2 + (y + 4)^2 = 12^2

So we have a circle of radius of 12 units, with a center at (-4 , -4)

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Answer:

Hello your answer would be A

Step-by-step explanation:

hev nice day

[o]-[o]

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Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

The equivalent expression is 5 - 3x/2. Option D

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

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The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

Answer:

2.4

Step-by-step explanation:

Use formula y2-y1/x2-x1

Points = (-2,-7) and (3,5)

5 - (-7)/3 - (-2)

NB: Negative times negative gives positive.

5 + 7/3 + 2

12/5

2.4

Slope = 2.4.

Hope it helps. Please mark as brainliest.

The graph of the function y = 1/3x - 2 is added as an attachment

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

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Answer:

lily can make nine necklace and 3 beads are still left

Answer: 72

Step-by-step explanation:

\(V=\frac{1}{2}(3)(8)(6)=\boxed{72}\)

Answer:

\((x+3)^2=1\)

Step-by-step explanation:

Complete the square:

\(x^2+6x+8=0\)

\(x^2+6x+8+1=0+1\)

\(x^2+6x+9=1\)

\((x+3)^2=1\)

Therefore, the equation rewritten in \((x-h)^2=k\) form is \((x+3)^2=1\)

Answer:

2 : 5, or 2/5

Step-by-step explanation:

4 : (3 + 3 + 4) =4 : 10 = 2 : 5

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer: 9.311, 9.345, 9.35, 9.37, 9.4, 9.433

Step-by-step explanation:

But it's important to know how this is the answer. So let's look at the first digit right to the decimal. 3 is lower than 4, so our ordering will begin with 9.3.. But oh no, there are more than one decimals that have 3 to the right, so what should we do? Well, let's look at the digit after the 3. We have 9.31., 9.34, 9.35, and 9.37. Since the digits after 3 are all different, it will be easier to order them. It will begin with 9.311 (since 1 is the lowest number compared to the rest of the numbers), 9.345 (since the 4 is the second-lowest number), 9.35 (since 5 is the third lowest), and 9.37 (since 7 is the 4th lowest number). So we have ordered the first parts. SO far we have written 9.311, 9.345, 9.35, and 9.37. But we still have to order 9.4 and 9.433. Since there is no number after 9.4, we will add a 0 to the right of it, making it 9.40. then we can look at the second digit to the right in 9.433, and this number would be 9.43. Which one is smaller? 9.40 or 9.43?  9.40 is, so then after it will come 9.433. So now we have figured it out. add these to numbers in order onto the ones we already figured out, and you're done! Your answer is now: 9.311, 9.345, 9.35, 9.37, 9.4, 9.433.

Hopefully that made sense!

The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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Answer:

20

Step-by-step explanation:

The theoretical probability of drawing 2 red marbles from the bag with replacement is one-fifth, which means that the probability of drawing 2 red marbles in any one trial is 1/5 or 0.2.

The number of times Jonah is expected to select 2 red marbles in 100 trials can be predicted using the expected value formula:

Expected value = (Number of trials) x (Probability of success in one trial)

Expected value = 100 x 0.2

Expected value = 20

Therefore, a reasonable prediction of the number of times Jonah will select 2 red marbles in 100 trials is 20. Therefore, the answer is 20.

Answer: 20 i took the test

Step-by-step explanation:

52s is the maximum time that she can take on her last lap and still make the team.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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Answer:

what in the world

Step-by-step explanation:

number 1. is c

number 2. is d

number 3. is a

number 4. is c

number 5. is b

hope this helps

Answer:

MacKenzie earns 155.20 more than Anielle

Step-by-step explanation:

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.

V7 * V2 = V(7 * 2) = V14

Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.

This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.

In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

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The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer: B

Step-by-step explanation:

Add 47.6 and 7.32 to get 54.92.

Add 54.92 and 0.0574 to get 54.9774.

Add 54.9774 and 6 to get 60.9774.

We conclude that the correct option is alternative "B".

Answer:

30º= 1:00

90º=9:00

60º=2:00

150º=5:00

(The 1:00 'o clock is 30º, right? The 2:00 o' clock is double the degrees, 60º,  or 30+ 30= 60)

To find the volume, we use the equation for the volume of a cone

The radius is,

the height is,

Finally, we replace the values in the initial equation,

So, the volume is approximate 183 cm^3

The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

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Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

The graph of the linear equation, x = 6, is shown in the image attached below.

The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.

Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.

Thus, the graph of the linear equation, x = 6, is shown in the image attached below.

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Answer:

900 kg

Step-by-step explanation:

Let's assume the cost price (C.P.) of sugar is Rs. x per kg.

The total quantity of sugar is 1500 kg.

Let the quantity of sugar sold at 8% profit be represented by y kg.

The quantity of sugar sold at 18% profit would then be (1500 - y) kg.

Using the rule of alligation, we can set up the following proportion:

(8% profit) y kg

-------------- = ------

(18% profit) (1500 - y) kg

Simplifying the proportions, we find that the difference in percentages is 4% (18% - 14% = 4%) and 6% (14% - 8% = 6%).

The ratio of these differences is 2:3.

This means that for every 2 kg of sugar sold at 8% profit, 3 kg of sugar is sold at 18% profit.

Since y represents the quantity sold at 8% profit (2 kg), we can calculate the quantity sold at 18% profit (3 kg) as follows:

(2 kg) * (3/2) = 3 kg

Therefore, the quantity sold at 18% profit is 900 kg.