determine whether a triangle with the side measures 15 M 14 M and 12 m is a right acute or obtuse angle

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

the answer is A

Step-by-step explanation:

slope is a rise over run or change in y over change in x

Answer:

A) 6.25%

Step-by-step explanation:

There are 3 vowels (A, E, I ) in the deck of 12 cards A thru L

The probability of drawing a vowel on the first draw is 3/12. Since the card is returned, the deck still has 12 cards, including 3 vowels and 9 consonants.

The probability of drawing a vowel on the second draw, given that a vowel was drawn on the first draw, is 3/12.

To find the probability of both events occurring, we multiply the probabilities:

P(vowel on first draw) x P(vowel on second draw given that a vowel was drawn on the first draw) = (3/12) x (3/12) = 9/144 = 1/16 = .0625 = 6.25%

ChatGPT

Answer:

last

Step-by-step explanation:

last because isometry is a shape moving rotating or reflecting across but sides are same since square became bigger and rhombus thinner only triangle is left

We know that the probability of an event happening is:

There are:

6 Students with blue eyes

7 students with brown eyes

3 students with hazel eyes

2 students with green eyes

The total of outcomes would be the total of students= 18 students

The percentage of choosing two students who do not have hazel eyes is: 83.3%

The linear equation written in the slope-intercept form is:

y = (-3/5)*x

The correct option is C.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here we can see that the line crosses through the poin (0, 0), so the y-intercept is 0.

b = 0

y = a*x + 0

y = a*x

To find the value of a, we can use another point on the graph.

We can see that the linear equation passes through (5, - 3), replacing these values:

-3 = a*5

-3/5 = a

Then the linear equation is just:

y = (-3/5)*x

The correct option is C.

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Answer:

I believe it's A) "In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality."

Step-by-step explanation:

I say this because that's essentially the first step when solving both an equation and inequality.

(In case you were wondering, the next step would be to divide -3 on both sides, in order to get x by its self.)

Hope this helps :)

The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.

By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (x, -y)

(1, -3)             →      (1, -(-3)) = (1, 3)

(3, -2)             →      (3, -(-2)) = (3, 2)

(4, -5)             →      (4, -(-5)) = (4, 5)

By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (-x, y)

(1, -3)             →        (-1, -3)

(3, -2)             →      (-3, -2)

(4, -5)             →      (-4, -5)

By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;

(x, y)                →      (y, x)

(1, -3)             →        (-3, 1)

(3, -2)             →      (-2, 3)

(4, -5)             →      (-5, 4)

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Answer:

Yes because it ends with 6.

Hope it helps!

Answer:

I'm sure that is a yes :))

Step-by-step explanation:

The conditions of a binomial distribution are met in this scenario, as there is a fixed number of trials, two possible outcomes for each trial, a constant probability of success for each trial, and the trials are independent.

The probability of success is important in determining the likelihood of a certain number of correct answers in this binomial experiment.

The conditions of a binomial experiment must be met for it to be considered a binomial distribution. In this scenario, a high school student is taking a multiple-choice test that has 10 questions with 4 choices each.

The first condition is that there must be a fixed number of trials, which in this case is 10 questions. The number of trials, n, must be constant and determined before the experiment takes place.

The second condition is that there must be two possible outcomes for each trial. In this scenario, the two outcomes are "correct" and "incorrect."

The third condition is that the probability of success must be constant for each trial. In this case, the probability of success would be 0.25 if the student randomly guesses on each question, as there are 4 choices for each question and the student only has a 1 in 4 chance of choosing the correct answer.

Finally, the trials must be independent, meaning that the outcome of one trial does not affect the outcome of any other trial. In this scenario, the questions are independent from each other and the student's choice on one question will not influence their choice on any other question.

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Step 1:

Write the slope formula in terms of rise and run.

Step 2:

Draw the line of rise and run

Pick two points where the line meet the vertical and the horizontal

Step 3

The volume (V) of a cylinder is π (r^2) (h). Substituting in the known values, you get V = 3.14 times 64 times 8, which is 1607.68 cubic units.

Answer:

AB=23.40cm

Step-by-step explanation:

(AB)²=(AB)²+(BC)²

(AB)²=22×22+8×8

=484+64

(AB)²=548

AB=23.40 cm

hope it helps...

have a great day!!

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

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Answer:

378+567-142÷5= 916.6

456(325-541)÷32= -3078

Step-by-step explanation:

Answer:

128 = 35x + 18y

Step-by-step explanation:

total = 35(MP3) + 18(DVD)

128 = 35x + 18y

Answer:

Step-by-step explanation:

The zeros are the values of x for which y = 0. Those are the points where the graph crosses the x-axis.

The graph passes through (0,0), so x=0 is one of the zeros.

The graph passes through the third tick to the right—note it is x=6, not x=3!

x=6 is the other zero.

Answer:

  [1]    x - 6y = 3

  [2]    x + 2y = 5

Graphic Representation of the Equations :

   -6y + x = 3        2y + x = 5  

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    x = -2y + 5

// Plug this in for variable  x  in equation [1]

  [1]    (-2y+5) - 6y = 3

  [1]     - 8y = -2

// Solve equation [1] for the variable  y

  [1]    8y = 2

  [1]    y = 1/4

// By now we know this much :

   x = -2y+5

   y = 1/4

// Use the y  value to solve for  x

   x = -2(1/4)+5 = 9/2

Solution :

{x,y} = {9/2,1/4}

Answer:

33433.2

Step-by-step explanation:

504 - 300 = 204

204 + 800 = 1004

100 / 3 = 33.3

1004 x 33.3 = 33433.2

Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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Answer:

Step-by-step explanation:

Well, since it was not given the interval let's use the interval [0,5] with n=10

So now, for the Trapezoidal Rule to approximate the area enclosed by the Integral of: \(f(x)=7\pi \sin(x)\)

\(T_{10}=\frac{b-a}{2n}[f(a)+2f(x_1)+ ....2f(x_{n-1})+f(b)]\) Plugging in:

\(T_{10}=\frac{5-0}{2*10}[f(0)+2f(\frac{1}{2})+2f(1)+2f(\frac{3}{2})+2f(2)+2f(5/2)+2f(3)+2f(7/2)+2f(4)+2f(9/2) +f(5)]\)

\(T_{10}=\frac{1}{4}[0+21.086+37+43.87+39.99+26.322+6.20-15.43-33.285-42.99-21.087]\)

\(T_{10}\approx 15.419\)

Now the same area according to Simpson rule:

\(S_{10}=\frac{b-a}{3n}[f(a)+4f(x_{1})+2f(x_{2})+4f(x_{3} )+2f(x_{4})+4f(x_{5})+2f(x_{6})+4f(x_{7})+2f(x_{8})+4f(x_{9})+f(b)]\\S_{10}=\frac{5}{3*10}[0+74.01+43.87+79.98+26.322+12.413-15.43-66.571-42.99-21.08]\approx 15.085\)

\(S_{10}\approx 15.0585\)

Answer:

0.006 cm

Step-by-step explanation:

1.2 cm per 200 envelopes =

= 1.2/200 cm/envelope

= 0.006 cm/envelope

1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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Answer:

A

Step-by-step explanation:

slope -3

y intercept (0,2)

Option A is correct, y=-3x+2 is the equation of the line that best represents the graph of the line.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The line passing through points (1, -1) and (-2, 8)

m=8+1/-2-1

m=-3

Now let us find the y intercept

8=-3(-2)+b

8=6+b

2=b

y=-3x+2 is the equation of line.

Hence, y=-3x+2 is the equation of the line that best represents the graph of the line.

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