what the answe
Evaluate the following limits. Note that each choice is redectly once lim 0-10-17 1 lim --00419x+17 20 lim -3. 6-7 4-190-17 300 4 00 lim -30° +603-74 4x4-19.? +17

Answer:

slope={-8-7}/{5--4)=-15/9=-5/3

we use - × -=+

The corresponding probabilities are: A. P(R) = 0.72 B. P(R') = 0.28 C. P(A ∩ R) = P(R) * P(A | R) = 0.72 * 0.51 = 0.367 D. P(A | R) = 0.51 E. P(A ∩ R') = P(R') * P(A | R') = 0.28 * 0.10 = 0.028 F. P(A' ∩ R) = P(R) * P(A' | R) = 0.72 * 0.49 = 0.352 G. P(A' ∩ R') = P(R') * P(A' | R') = 0.28 * 0.90 = 0.252

(a) The tree diagram with the corresponding probabilities is:

A (0.51) A' (0.49) A (0.10) A' (0.90)

(b) The proportion of students who earn an A and don't attend class regularly is:

P(A ∩ R') = 0.028

(c) The chance that a randomly chosen student will earn an A in the class is:

P(A) = P(A ∩ R) + P(A ∩ R')

= 0.367 + 0.028

= 0.395

(d) Given that a student earned an A, the chance they attend class regularly is:

P(R | A) = P(A ∩ R) / P(A)

= 0.367 / 0.395

≈ 0.9291 (rounded to four decimal places)

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Complete question:

A professor has noticed that students hat attend class regularly, mss no more than two classes per term, generally get better grades. For he class, the overall percent o students who attend regularly s 72% or those who come to class on a regular basis, 51% receive A's. Of those who don't attend regularly, only 10% get A's. (b)Among all students what proportion earn an A and don't attend class regularly?

The length of AB is (60)^(1/2) units.

Let the radius of the incircle be r=2, BX=3 and CX=4,

thenBC = BX + CX = 3 + 4 = 7

We know that the length of the tangent to a circle from an external point is equal to the radius of the circle.Using this concept, the tangents drawn to the incircle of the triangle ABC from vertices B and C meet each other at a point, say P and the incenter is at O.Draw lines BP and CP, this will form the right-angled triangles BXP and CXP respectively.As the incircle of a triangle is the locus of points that are equidistant from the three sides of a triangle.

So, OX will be perpendicular to BCLength of BX = 3and, OX = 2

Therefore, BX² + OX² = BX² = 9 + 4 = 13

Similarly, CX² + OX² = CX² = 16 + 4 = 20

Let, the length of AB be c and the length of AC be b.

The semi-perimeter of the triangle ABC, s = (a+b+c)/2 and radius of the incircle = r.

Using the formula, s = (a+b+c)/2 = (7+c)/2

r=2s-a-b-c/r = s(s-a)(s-b)(s-c) = A,

where A is the area of the triangle ABC.

s(s-a)(s-b)(s-c) = (a+b+c)/2 × ((a+b+c)/2 - a) × ((a+b+c)/2 - b) × ((a+b+c)/2 - c)

= (7+c)/2 × (c/2) × (b/2) × ((7-c)/2)= c/4 × b/4 × (7+c)/2 × (7-c)/2

A = r × s = 2 × (7+c)/2A = 7 + c

And, s-b = (a+c-b)/2  = (c)/2

s-c = (a+b-c)/2 = (b)/2

Using the above formula and replacing values we get,

A = (c/4) × b/4 × (7+c)/2 × (7-c)/2

A = 2 × (7+c)/2 (7-c)/2

On solving this equation we get,c= AB = (60)^(1/2) units

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Answer:

90 degrees

Step-by-step explanation:

Assuming that this polygon is a square, x would be 90 degrees. In a square, all angles are right angles.

Answer:

16 11/2

Step-by-step explanation:

ezz

The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.

The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.

To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.

Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.

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First, let's calculate the total amount of balls:

Since there are 2 white balls and 2 red balls, the number of white or red balls is 4.

So the probability is:

Correct option: A

Answer:

D

Step-by-step explanation:

fastest way to find out the answer is to replace each solution with the xs of the equation and see if it is Equal to 4. the only solution that is equal to 4 is D)1/3

Answer:

34

Step-by-step explanation:

hope this helps :)

Answer:

34

Step-by-step explanation:

First, plug in numbers and then solve...

Answer:

y = x(4+z)+6

y-6 = x(4+z)

x=(y-6)/(4+z)

Step-by-step explanation:

By Thales' theorem, if A, B, and C are three distinct points in the a circle where line AB is the diameter, then ACB is a right angle.

Therefore, ∠ACB = 90°.

The curve of best fit is an illustration of a quadratic regression

The equation of the curve of best fit is \(y = -\frac{17}{18}x^2 + \frac{17}3x + 2\), and the height of the frog after 6 seconds is 2 feet

To determine the equation of the curve of best fit, we make use of a graphing calculator

Using the graphing calculator, we have the following calculation summary

The equation of the curve of best fit is represented as:

\(y = ax^2 + bx + c\)

Substitute the values for a, b and c.

So, we have:

\(y = -\frac{17}{18}x^2 + \frac{17}3x + 2\)

After 6 seconds, the value of x is 6.

So, we have:

\(y = -\frac{17}{18} * 6^2 + \frac{17}3 * 6 + 2\)

Evaluate

\(y = 2\)

Hence, the height of the frog after 6 seconds is 2 feet

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The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.

The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.

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Answer:15x3 /=divide 5 = 9

Step-by-step explanation:

because if you do 15x3 it is 45 then you divide it by 5 and get 9 as your answer!

Step-by-step explanation:

hope this help the other angles are 5 degrees, 175degrees and 175 degrees

Answer:

jwbeeivrievtidtvidvtirvtjrvtitthtirht

Answer:

B. -3

Step-by-step explanation:

y = mx + b is slope intecept formula

m = slope

y = -3x + 7

-3 = m

All of the criteria's are fulfilled the survey is valid.

We have the information from the question:

The proportion of college football players who have had at least one concussion is estimated to be 34% in the united states.

Then, 34% = 0.34

The sample size of the data is = 100

p: the ‘proportion’ of ‘college’

The required conditions for testing the hypothesis of population proportion are,

(i) The population is larger than the sample

(ii) np > 10

=> 100 × 0.34

      =34

(iii) n(1-p) > 10

100 × (1 - 0.34)

=> 100 × 0.66

      =66

iv)The ‘sample’ is drawn randomly from the population.

Since all of the above criteria's are fulfilled the survey is valid.

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Answer:

G

Step-by-step explanation:

this should be right

The probability that at least one of them is operational is 0.999

Probability:

Probability means the possibility of happening the particular event. So, it can be written as the fraction of possible event by the total number of event.

Given,

The probability a D-Link network server is down is 0.10.

Here we need to find if you have three independent servers, what is the probability that at least one of them is operational.

Let D be an event that a D-Link network server is down.

It is given that the probability that a D-Link network server is down is

=> P(D) = 0.10

The number of independent servers

=> (n) = 3

The probability that none of the servers is working is

=>P(None) = P(D) x P(D) x P(D)

=> P(None) = 0.10 x 0.10 x 0.10

=> P(None) = 0.001

The probability that at least one of them is operational is given as

=> 1 - P(None)

=> 1 - 0.001

=> 0.999

Therefore, the probability that at least one of them is operational is 0.999.

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If 5^a = y, then we can rewrite 25 as 5^2. Therefore, we have:

25^a = (5^2)^a

= 5^(2a)

Now, we can substitute y for 5^a to get:

25^a = 5^(2a)

= (5^a)^2

= y^2

Therefore, 25^a is equal to y^2.

Answer:

Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

Step-by-step explanation:

a. i ) The probability that a randomly chosen ball bounces less than 135 cm is approximately 0.0228.

a. ii)  The probability that a randomly chosen ball bounces more than 145 cm is approximately 0.0582.

b)

To find the probabilities for the bounce heights of the tennis balls, we will use the given mean and standard deviation.

a. i. Probability that a randomly chosen ball bounces less than 135 cm:

We need to find the area under the normal distribution curve to the left of 135 cm.

Using the Z-score formula:

Z = (X - μ) / σ

where X is the bounce height, μ is the mean, and σ is the standard deviation.

Z = (135 - 140.6) / 2.8

Z ≈ -2

Looking up the Z-score of -2 in the standard normal distribution table, we find the corresponding probability is approximately 0.0228.

Therefore, the probability that a randomly chosen ball bounces less than 135 cm is approximately 0.0228.

a. ii. Probability that a randomly chosen ball bounces more than 145 cm:

We need to find the area under the normal distribution curve to the right of 145 cm.

Using the Z-score formula:

Z = (X - μ) / σ

Z = (145 - 140.6) / 2.8

Z ≈ 1.5714

Looking up the Z-score of 1.5714 in the standard normal distribution table, we find the corresponding probability is approximately 0.9418.

Since we want the probability of bouncing more than 145 cm, we subtract this value from 1:

1 - 0.9418 ≈ 0.0582

Therefore, the probability that a randomly chosen ball bounces more than 145 cm is approximately 0.0582.

b. The bounce heights of the 800 randomly selected tennis balls can be analyzed using the normal distribution with the given mean and standard deviation. However, without additional information or specific criteria, we cannot determine any specific probabilities or conclusions about the bounce heights of these 800 balls.

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The point (7, -π/2) in polar coordinates corresponds to the rectangular coordinates (0, -7), representing a point on the negative y-axis.

In polar coordinates, a point is represented by its distance from the origin (r) and its angle from the positive x-axis (θ). For the given point (7, -π/2), the distance from the origin is 7 units (r = 7), and the angle is -π/2 radians.

To convert this point to rectangular coordinates, we can use the following formulas:

x = r * cos(θ)

y = r * sin(θ)

Applying these formulas to the given values, we get:

x = 7 * cos(-π/2)

y = 7 * sin(-π/2)

The cosine of -π/2 is 0, and the sine of -π/2 is -1, so we can substitute these values into the formulas:

x = 7 * 0 = 0

y = 7 * (-1) = -7

Therefore, the rectangular coordinates for the point (7, -π/2) are (0, -7). This represents a point on the negative y-axis, where the x-coordinate is 0 and the y-coordinate is -7.

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Answer:

36 and 27

Step-by-step explanation:

4+3=7

63/7=9

9x4=36

9x3=27

Answer:

Step-by-step explanation:    63'ü 3'e bölücez  sonuç 21 çıkar  21 ile 4'ü çarpicaz  sonuç 84  çıkar ne kadar döğru bilmiyorum ama bence böyle

Answer:

\(h=16inches\)

Step-by-step explanation:

From the question we are told that:

Base of  flag \(l_b=8inch\)

Area of flag \(A=64 inch^2\)

Generally the equation for a triangle is mathematically given by

 \(Area=\frac{1}{2}l_b*h\)

Therefore

 \(h=\frac{2A}{l_b}\\h=\frac{2*64}{8}\)

 \(h=16inches\)

Therefore the hieght of the ship is  mathematically given as

 \(h=16inches\)

Answer:

Yes

Step-by-step explanation:

1/4*16 is equal to 4, 4+7=11, 11=11, so 1/4 is a solution

The probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75.

To find the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A, we first need to determine the proportion of plumbing jobs done by Plumber A that result in consumer dissatisfaction.

Given that half the complaints dealt with Plumber A and that Plumber A does 40% of the plumbing jobs in the town, we can calculate this proportion as follows:

Proportion of unsatisfactory plumbing jobs done by Plumber A = (Half the complaints / Total number of plumbing jobs done by Plumber A)

= (Half the complaints / 40% of the total plumbing jobs in the town)

= (Half of 10% / 40%)

= 10% / 2 / 40% = 1 / 4 = 0.25

Therefore, the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A is 0.25.

To find the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A, we subtract the probability of obtaining an unsatisfactory plumbing job from 1:

Probability of a satisfactory plumbing job given that the plumber was Plumber A = 1 - Probability of an unsatisfactory plumbing job

= 1 - 0.25

= 0.75

Therefore, the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75.

In conclusion, given that Plumber A does 40% of the plumbing jobs in the town and that half the complaints dealt with Plumber A, the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A is 0.25, and the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75. These probabilities can be used to make informed decisions about which plumber to choose for plumbing jobs in the community.

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Answer:

\(y=0.400x+-0.800\)

Step-by-step explanation:

Given the following question:

point A = (-3, -2)
point B = (2, 0)

To write the equation of the line that passes through two points we have to write the points in slope intercept form.

Formula for slope intercept:

\(y=mx+b\)

M is equal to the slope of the two points, so first we need to fine the slope of the two points.

\((-3,-2)=(x1,y1)\)
\((2,0)=(x2,y2)\)

\(m=\frac{y2-y1}{x2-x1}\)
\(m=\frac{0--2}{2--3} =\frac{2}{5}\)
\(m=\frac{2}{5} =0.400\)

\(y=mx+b\)
\(y=-2\)
\(m=0.400\)
\(x=-3\)
\(-2=0.400(-3)+b\)
\(0.400\times-3=-1.20\)
\(-2+1.2=-0.800\)
\(b=-0.800\)

\(y=0.400x+-0.800\)

Hope this helps.