16. A triangle contains a right angle if and only if it is a right triangle.

Converse:

The percentage of the data values in the box-and-whiskers plot, that are greater than or equal to 92, which is the 75th percentile, based on the five number summary, are 25 percent of the data.

The five number summary of a box-and-whiskers plot are value of the minimum, the first quartile, the median, the third quartile and the maximum value of the set of data.

Please find attached the possible box-and-whiskers plot in the question, obtained from a similar question on the internet

The five number summary from the box-and-whiskers plot are;

Minimum value = 82

The first quartile or the 25th percentile = 87

The median, second quartile or the 50th percentile = 90

The third quartile or the 75th percentile = 92

The value 92 on the data represents the 75th percentile, therefore, the percentage of the data that are greater than or equal to 92 are; 100 - 75 = 25 percent

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Answer:

4y-13/5

Step-by-step explanation:

-

1/5(20y-13)
Use the distributive property to multiply 1/5 by 20y−13.

Result: 1/5*20y+1/5(-13)

Now, multiply 1/5 and 20 to get 20/5.

Result: 20/5y+1/5(-13)

Divide 20 by 5 to get 4.

Result: 4y+1/5(-13).

Multiply 1/5​ and −13 to get -13/5.

4y+-13/5

4y-13/5.

The critical value of f(x) = 5x⁶ - 3x⁵ is x = 0.5 which is also its maxima point

f(x) = 5x⁶ - 3x⁵

differentiation w.r.t x

=> f'(x) = 30x⁵ - 15x⁴

Putting f'(x) = 0

30x⁵ - 15x⁴ = 0

=> x⁴(30x - 15) =0

=> 30x - 15 = 0

=> x = 15/30

=> x = 0.5 , 0

Critical number is 0.5 , 0

(B) To find where f(x) is increasing

for x > 0.5 ,

(30x-15) > 0 => x⁴(30x - 15) > 0

Therefore , f(x) is increasing at ( 0.5 , ∞ )

(C)To find where f(x) is decreasing

for x < 0.5 ,

(30x-15) < 0 => x⁴(30x - 15) < 0

Therefore , f(x) is decreasing at ( -∞ , 0.5)

(D) Differentiation f'(x) again w.r.t to x

f'(x) = 30x⁵ - 15x⁴

f"(X) = 150x⁴ - 60x³

Substituting critical values of x

=> 150(0.5)⁴ - 60(0.5)³

=>9.375 - 7.5

=> -1.875 < 0 , Hence , x = 0.5 is point of maxima

(E) no point of minima

Similarly , we can solve other parts

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Answer:

x is 38°

Step-by-step explanation:

180° - 142° = 38°.

Hope this will help❤️

Answer:

Hello! answer: 11

Step-by-step explanation:

these are vertical angles meaning they Will equal the same measure so... 10 × 11 = 110 110 + 50 = 160 therefore x = 11 HOPE THAT HELPS!

Answer:

Step-by-step explanation:

32

Answer:

A.

Step-by-step explanation:

I believe it is A. because there are the numbers that equal all together to get that domain.

Answer:

4 packages

Step-by-step explanation:

We have to do 980/250.

So after you get that, you would get 3.92. It would not make sense to get 3.92 packages since that isn't possible on Amazon using common sense. Therefore we must round 3.92 to 4 packages.

Answer:

Ms.Dangerfeild should order 4 bags

Step-by-step explanation:

250 times 4 is 1000 so Ms.Dangerfeild will have 20 extra erasers.

Answer:

1. 0/10

2. -9/0

Step-by-step explanation:

you want to do the second y- the first y / the second X-the first x

Answer:

the amount of garbage started to increase around 2005 or 2007

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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The roots of the given equation are √5, - √5, 2i, and - 2i      

The values of a variable for which the provided polynomial equals zero are referred to as a polynomial's roots. If n is the root of a polynomial p(x), then p(n) will be equal to zero.

Here we have

x⁴- x²- 20 = 0  

To find the roots of the Equation factorize the given equation

=>  x⁴- x²- 20 = 0    

Let t = x²

=>  t²- t - 20 = 0  

Split the middle term

=> t²- 5t + 4t - 20 = 0  

=> t(t - 5) + 4(t - 5) = 0

=> (t - 5) (t + 4) = 0

=> (t - 5) = 0   and  (t + 4) = 0

Take t - 5 = 0

=>  t = 5  =>  x² = 5

=> x = ±√5          

Take (t + 4) = 0

=> t = - 4 => x² = -4

=> x = ± √- 4                  

=> x = ± 2i         [ ∵ - 1 = i² ]

Therefore,

The roots of the given equation are √5, - √5, 2i, and - 2i                    

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The straight line distance from the airplane to the observer is 476. 70 feet

Note that there are six different trigonometric identities in mathematics, they are;

From the diagram shown, we have that;

Opposite side = 400 feet

Angle of elevation, θ = 40 degrees

Adjacent side = distance

Using the tangent identity, we have;

tan 40 = 400/x

x = 400/0.8391

x = 476. 7 feet

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True. Running the r bind function on V1 and V2 would give a warning.

The rbind function in R is used to combine or bind vectors, matrices, or data frames by rows. However, when using rbind(), the vectors being combined should have the same number of columns.

In this case, V1 has 6 elements, while V2 has 5 elements. Since the number of columns doesn't match, the r bind function would give a warning indicating that the binding operation is not possible due to the mismatched number of columns.

When attempting to combine V1 and V2 using rbind, R would throw a warning message similar to: "number of columns of result is not a multiple of vector length (arg x)". This warning indicates that the operation cannot be performed as intended due to the unequal number of elements in the vectors.

Therefore, running the rbind() function on V1 and V2 would result in a warning.

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#4

June is the most coldest.

How?

Mention the temperatures

January=+6°F

June=-24°F

November=-2°F

Lowest is the coldest .(June is the coldest month)

January = 6°F

June = -24°F

November = -2°F

By the above given observation we can say that June is the coldest as it has the lowest temperature in all.

16-p

1) 7+9=16

2) It states that  "then subtract p from the result" so that means 16-p which is the final answer because we cannot further substitute p without a known result

Answer:

x=15

Step-by-step explanation:

Please mark brainliest

Answer:

770

Step-by-step explanation:

So start by adding 140 + 70 and then you get 210 and then so you muliply 70*11 and you get 770.      :D

Let's start graphing the first inequality y > 3x - 4. Since this is already in its slope-intercept form, we can see right away that the y-intercept of its boundary line is at (0, -4) and the slope is 3.

Aside from the y-intercept, let's find another point on the line using the slope. We will add 3 on the y-coordinate of the y-intercept and add 1 on the x-coordinate.

Hence, we have another point on the boundary line at (1, -1).

Let's plot these two points (0, -4) and (1, -1) and connect them using a dashed line since the inequality is "greater than". Also, the shade of the graph will be above the line.

The graph of the first inequality y > 3x - 4 is:

Moving on to the second inequality y ≤ x + 1, the y-intercept is at (0, 1) and the slope is 1.

Let's find another point on the line using the slope by adding 1 on the y-coordinate of the y-intercept and 1 on the x-coordinate.

Therefore, we have another point on the line at (1, 2).

Let's plot these points (0, 1) and (1, 2) on the graph. Connect them using a solid line because the inequality symbol has "or equal to". The shade of the graph will be below the line since the inequality symbol is "less than".

The graph of the second inequality y ≤ x + 1 is:

Combining the two graphs, we have:

The solution to the two inequalities would be the common shaded region, hence, in the diagram, it will be the darker shade.

Based on the given choices, this is shown by Option D.

The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

The y-intercept of the median-median line for the given dataset is -2.25.

The median-median line is a line of best fit that is calculated by dividing the given data set into smaller groups of three points, computing the median of the x and y values in each group, and then finding the line that passes through the two median points. The y-intercept of the median-median line is the value of y when x is zero, which can be found by plugging in x = 0 into the equation of the line.

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Answer:

The answer for (a) is at the picture

(b) The vertex is (-2,7)

(c) Yes the parabola open downward

(d) -(x+2)^2+7 the turning point is at (-2,7) since it is where the group curves

Step-by-step explanation:

The time that it will take a group of 4 workers to do the same job, if each worker performs at the same rate is D. 15.

It should be noted that an expression simply illustrates the relationship between the variables that are given.

In this case, the group of 3 workers needs 20 days to do a certain job. Let the time taken for the 4 workers be x. This will bee illustrated as:

3/4 = x/20

Cross multiply.

4x = 3 × 20

4x = 60

Divide

x = 60 / 4

x = 15

They will use 15 days to to the job.

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The linear equation perpendicular to the segment that also bisects it is:

y = (-3/2)*x - 11/4

Here we know that we have a segment whose endpoints are (-1, -5) and (2, -3)

Then the midpoint of the segment (where our linear equation passes by) is:

( (-1 + 2)/2, (-5 - 3)/2) = (0.5, -4)

Now, we also want our line to be perpendicular to the segment, so the slope of the line must be the opposite of the inverse of the slope of the segment.

The slope of the segment is:

a = (-3 + 5)/(2 + 1) = 2/3

Then the slope of our linear equation will be  -3/2, it gives:

y = (-3/2)*x + b

Now we use the fact that our line passes through the point (0.5, -4), so we get:

-4 = (-3/2)*0.5 + b

-4 = -3/4 + b

-4 + 3/4 = b

-16/4 + 3/4 = b

-11/4 = b

The linear equation is:

y = (-3/2)*x - 11/4

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