What is the distance between the two endpoints in the graph below? If
necessary, round your answer to two decimal places.
(3,5)
O A. 13.46 units
B. 11 units
C. 10 units
66,-6)
D. 14.21 units

Answer:

Reflection in the x-axis

Step-by-step explanation:

If the point (x, y) of the shape is rotated 180° about the origin, it will be transformed into the point (-x, -y).

If the point (-x, -y) is reflected in the Y-axis, it will be transformed into the point (x, -y). This transformation is equivalent to the reflection of (x, y) in the x-axis.

The probability that exactly 17 households own a DVD player is 0.0124.

Given:

The probability that a house hold in centercity owns a DVD player is = 53%.

So, p = 0.53

The probability that a house hold in centercity does not own a DVD player is = 100% - 53% = 47%

So, q = 0.47

The sample size is 22 households in the city.

So, n = 22

We have to calculate the probability that exactly 17 households own a DVD player.

So, r = 17

The formula to be used in binomial experiment is:

P (r) = \(\frac{n!}{r! (n -r)!}\) × \(p^{r}\) ×\(q^{n-r}\)

The probability that exactly 17 households own a DVD player will be,

= \(\frac{22!}{17! (22 - 17)!}\) × \(0.53^{17}\) ×\(0.43^{22-17}\)

= \(\frac{22!}{17! (5)!}\)× \(0.53^{17}\) ×\(0.43^{5}\)

= 0.0124

Therefore, the probability that exactly 17 households own a DVD player is 0.0124.

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it's the first one that is 16/81

Answer:

10 days.

Step-by-step explanation:

8÷12 (because you can not divide people.

.666

take that and multiply it by 15

you will get 10

Answer: beans is a good food that would be healthy for you

Step-by-step explanation:

The number of portion with each having 12 fruits is at most 6 portions.

To divide the fruits into 12 portions

Total number of fruits = 80

Number of fruits per portion = 12

Number of fruits per portion = (Total number of fruits / Number of fruits per portion )

Number of fruits per portion = 80/12 = 6.67

Therefore, to divide the fruits into 12 fruits , There would be at most 6 portions.

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Answer:

3 halves

Step-by-step explanation:

The  binary strings of length 10 are there in which the number of 0's in the string is not equal to the number of 1's in the string is 2¹⁰ - 2⁹.

Binary number:

A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" and "1".

Given,

Here we need to find How many binary strings of length 10 are there in which the number of 0's in the string is not equal to the number of 1's in the string.

Here the length of the binary string is 10.

So, it can be written in the power form as 2¹⁰.

Now we need to find the number of 0's in the string is not equal to the number of 1's in the string.

For that, we have to consider,

There are 2⁹ number of binary strings are not have same number of 0's in the string is not equal to the number of 1's in the string.

So, it can be written as,

=> 2¹⁰ - 2⁹

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Answer:

Step-by-step explanation:

Given the modulus of a complex number |z1| = 6 and its argument θ1 = 70°

If z1 = a+bi, according to definition;

|z1| = √a²+b²

|z1|² = a²+b²

Since |z1| = 6, |z1|² = 6² = 36

a²+b² = 36 .......... 1

Also the argument is derived from the expression

tan θ = b/a

tan 70 = b/a

b/a = 2.75

b = 2.75a ........ 2

Substitute equation 2 into 1

a²+b² = 36

a²+(2.75a)² = 36

a²+7.5625a² = 36

8.5625a² = 36

a² = 36/8.5625

a² = 4.204379

a = √4.204379

a = 2.051 (to nearest thousandth)

Since b = b = 2.75a

b = 2.75(2.051)

b = 5.639 (to nearest thousandth)

z1 = 2.051+5.639i

Answer: \(-5\sqrt{3}-5i\)

Step-by-step explanation: It was right on Khan

The range of the function represented by y = 15x + 20, where y is Kim's daily earnings and x is the number of bikes she assembles, is $20 ≤ y ≤ $110.

The range of a function is the set of values of y possible values of the dependent variable after substituting values for the independent variable(domain).

The total amount she earns can be represented by

y = 15x + 20

where y is her daily earnings and x is the number of bikes she assembles

If Kim's boss daily goal is to assemble no more than 6 bicycles a day, then the value of x will only range from 0 to 6(whole number).

domain : {x| 0 ≤ x ≤ 6}

where x is a whole number

Substituting the minimum and maximum value of x in the function.

y = 15(0) + 20     when x = 0

y = 20

y = 15(6) + 20     when x = 6

y = 110

range : $20 ≤ y ≤ $110

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Answer:

r < 4/7

Step-by-step explanation:

35r - 21 < -35r + 19

35r + 35r < 19 + 21

70r < 40

r < 4/7

Answer:

r < 4/7

Step-by-step explanation:

Answer:

that looks hard sorry i cant help you good luk .

The composite function g(h(8)) when evaluated is 94.

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

g(a) = 4a - 2

h(a) = 3a

To find g(h(8)), we need to first evaluate h(8), and then plug that result into g(a) and simplify.

h(a) is defined as 3a, so h(8) = 3(8) = 24.

Now we can plug in 24 for a in g(a) and simplify:

g(a) = 4a - 2

g(h(8)) = g(24) = 4(24) - 2 = 94

Therefore, g(h(8)) = 94.

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Answer:

34

Step-by-step explanation:

The Pythagorean Theorem states: \(a^{2} + b^{2} =c^{2}\). What this means is that on a right triangle, like the one you have here, if you square the lines that are adjacent to the right angle, and add them, you get the hypotenuse squared. You can then take the square root of that number, and that leaves you with the hypotenuse.

So what does that mean? The equation would look something like this:

\(30^{2} +16^{2} =c^2\)

Well, if we solve the squares, then we get something like this:

\(900 +256 = c^2\)

Then that equals:

\(1156 = c^{2}\)

Therefore, we can take the square root of 1156 to get 34.

\(34=c\)

Hope that this helps!

Answer:

6x^3y^2+18x^4y^3+18x^2y^5

Step-by-step explanation:

Multiply each term:

6x^3y^2+18x^4y^3+18x^2y^5

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Ratio of the area of a square inscribed in a semicircle with radius 'r' to the area of a square inscribed in a circle with radius 'r' is equal to 2: 5.

As given in the question,

Let ABCD be the square with side 'a' inscribed in a semicircle with radius 'r'.

'O' be the center of the semicircle.

'M' be the midpoint of AB such that MB = a/2

Join OM, OB and OM ⊥ AB

OB = r

OM = BC = a

In ΔOMB.

OB² = OM² + MB²

⇒ r² = a² + (a/2)²

⇒r² = 5a²/4

⇒a² = 4r²/5

Area of the square inscribed in a semicircle = a²

                                                                         = 4r²/5

Let PQRS be the inscribed in a circle with side 'x'

Diagonal of the square inscribed in a circle = 2r

In ΔPQR,

PR = diagonal

     = 2r

PQ = QR = x

PR² = PQ² + QR²

⇒(2r)² = x² + x²

⇒x² = 4r² /2

⇒x² = 2r²

Area of the square inscribed in a circle = x²

                                                                 = 2r²

Ratio of the area of the square inscribed in ( semicircle to the : circle )

= 4r²/5 / 2r²

= 2 / 5

= 2 : 5

Therefore, ratio of the area of the squares inscribed in a semicircle to the circle is 2 : 5.

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Answer:

c and d

Step-by-step explanation:

Answer:

I can help you. What subject is it?

Step-by-step explanation:

Answer:

Step-by-step explanation:

You gave very clear instructions on how to draw this graph, so that's what I did. What you need to remember in particular with limits is that you do not care in the least what happens AT the x value of 2, only what happens as it is being approached. Because we are asked the limit as x is approaching from the left and the right, this is a one-sided limit question. In order for the limit to exist as x approaches 2 (NOT from the left or the right), the limit would have to agree from the left and the right, and this one doesn't. Having said that there is "a horizontal line crossing the y-axis at 5 that ends at the open point (2, 5)..." is a limit approaching x from the left. Therefore,

\(\lim_{x \to 2^-} f(x)=5\)

Having also said there is "...another horizontal line starting at the open point (2, -3) and continues to the right..." is a limit approaching x from the right. Therefore,

\(\lim_{x \to 2^+} f(x)= -3\)

The closed point at (2, 1) is where x IS, and remember that we don't care about what happens AT x. So disregard this point in limits.

The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.

The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.

The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.

Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.

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5.12% means

5.12/100 = 0.0512 (each year)

PreOwned Vehicle Cost = 31,100

For 5 years simple interest, the value would be:

31100 * 0.0512 * 5 = $7961.6

Total have to pay: 31,100 + 7961.6 = $39,061.6

Answer:

5

Step-by-step explanation:

Answer:

120 ft

Step-by-step explanation:

The ratio of the sides of a 30-60-90 triangle is a:a\(\sqrt{3}\):2a.

You are give that a, the shortest side, equals 60 ft

This means you have the sides are:

60: \(60\sqrt{3}\): 120.

The side you are looking for is the longest side, so 120 ft.

The hypothenuse side of triangle A is 2.83.

The height  and length of triangle B is 1 and 1.73 respectively.

The height  and length of triangle C is 1.73 and 1 respectively.

The height  and length of triangle D is 2.73 and 0.73 respectively.

The hypothenuse side of triangle A is calculated by applying trigonometry ratio as shown below.

L = √ ( 2² + 2² )

L = 2.83

The height  and length of triangle B is calculated as;

h = 2 x sin (30)

h = 1

L = 2 x cos (30)

L = 1.73

The height  and length of triangle C is calculated as;

h = 2 x sin (60)

h = 1.73

L = 2 x cos (60)

L = 1

The height  and length of triangle D is calculated as;

h = 2.83 x sin (75)

h = 2.73

L = 2.83 x cos (75)

L = 0.73

Thus, the given triangles are right triangles.

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Step-by-step explanation:

is there is any sighn b/n -5x^2 and 15x cause if they r multiplying then it must be writen as -75x^3 but if there isn't

u will say

-75x^3 + 10 = 0

-75x^3 = -10

x^3 = -10/-75

x^3 = 2/15

x = (2/15)^1/3

The Composite Trapezoidal rule is used to approximate the given integrals. In part (a), the integral \(\( \int_{1}^{2} x \ln x \, dx \)\) is approximated using \(\( n = 4 \)\)subintervals. In part (b), the integral\(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) is given with incorrect limits, so it cannot be evaluated.

To approximate \(\( \int_{1}^{2} x \ln x \, dx \)\) using the Composite Trapezoidal rule, we divide the interval \(\([1, 2]\) into \( n = 4 \)\) subintervals. The step size, \(\( h \)\), is calculated as\(\( h = \frac{b-a}{n} = \frac{2-1}{4} = \frac{1}{4} \)\). Then, we evaluate the function \(\( x \ln x \)\)at the endpoints of each subinterval and sum the areas of the trapezoids formed. The approximation formula for the Composite Trapezoidal rule is: \(\[\int_{a}^{b} f(x) \, dx \approx \frac{h}{2} \left[ f(a) + 2\sum_{i=1}^{n-1} f(x_i) + f(b) \right]\]\)

Using this formula, we can calculate the approximation for the given integral. The limits of the integral \(\( \int_{2}^{2} x^{3} e^{x} \, dx \)\) are given as \(\( 2 \)\) to 2 which indicates an interval of zero length. In this case, the integral cannot be evaluated since there is no interval over which to integrate.

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This pooled estimate provides a common probability of success for both populations under the null hypothesis H0: p1 = p2, and is used in the calculation of the test statistic for the hypothesis test.

To calculate the best pooled estimate p for the population probability of success using H0: p1 = p2, we first need to calculate the individual sample proportions for each population.

The sample proportion for the first population is r1/n1, and the sample proportion for the second population is r2/n2.

Then, we can calculate the pooled estimate p as:

p = (r1 + r2) / (n1 + n2)

This is the weighted average of the sample proportions, where the weight is proportional to the sample size.

Using this pooled estimate p, we can then calculate the test statistic for the hypothesis test of difference of proportions.

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