help please!!!!!! Brainliest for correct awnser!! Which of the following is equal to the rational expression when x ≠ 5 or -1? (x-7)(x+1)/(x+1)(x-5)

Answer:

The probability is [tex]2.7327 \times 10^{-9}[/tex]

Step-by-step explanation:

The probability of guessing correctly, P = 0.54

Probability of not guessing correctly, q = 1 – P  

q = 1 – 0.54 = 0.46

Number of trials, n = 32

Now calculate the probability that Mr. Taylor will pick 32 correctly in first round of the game.

Below is the calculation using binomial distribution.

[tex]Probability = \left ( _{k}^{n}\textrm{} \right )P^{k}(1-P)^{(n-k)} \\= \left ( _{32}^{32}\textrm{} \right )0.54^{32}(0.46)^{(32-32)} \\= 0.54^{32} \\= 2.7327 \times 10^{-9}[/tex]

Answer:

sin x = 0.998

cosx = 0.046

Step-by-step explanation:

Given that:

tan x = 21

where interval of x is [tex][0,\dfrac{\pi}{2}][/tex].

We know that the trigonometric identity for tan x is:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

Comparing with:

[tex]tan x = \dfrac{21}{1}[/tex]

Perpendicular = 21 units

Base = 1 unit

As per pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\[/tex]

[tex]\Rightarrow \text{Hypotenuse}^2 = 21^2 +1^2\\\Rightarrow \text{Hypotenuse} = \sqrt{442} = 21.023\ units[/tex]

interval of x is [tex][0,\dfrac{\pi}{2}][/tex] so values of sinx and cosx will be positive because it is first quadrant where values of sine and cosine are positive.

We know that

[tex]sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\cos\theta = \dfrac{Base}{Hypotenuse}[/tex]

So, sine x :

[tex]\Rightarrow sinx =\dfrac{21}{21.023}\\\Rightarrow sinx = 0.998[/tex]

Similarly, value of cos x :

[tex]\Rightarrow cosx =\dfrac{1}{21.023}\\\Rightarrow cosx = 0.046[/tex]

Answer:

"The probability that the egg will be with cholesterol content greater than 220 milligrams" is 0.37070 (37.070% or simply 37%)

Step-by-step explanation:

We have here a normally distributed random variable. The parameters that characterize this distribution is the mean, [tex] \\ \mu[/tex], and the standard deviation, [tex] \\ \sigma[/tex].

In this question, we have that:

And we want to know the probability that a randomly selected single egg "will be with cholesterol content greater than 220 milligrams."

To answer the latter, we need to use the following key concepts:

The z-scores are standardized values and represent the distance (for the raw score) from the mean in standard deviations units. A positive z-score indicates that it is above [tex] \\ \mu[/tex] and, conversely, a negative result that the value is below it.

The cumulative distribution function generates the values for the cumulative standard normal distribution displayed in the standard normal table.

The standard normal distribution is employed to find probabilities for any normally distributed data and we only need to calculate the corresponding z-score (or standardized value). This distribution has a [tex] \\ \mu = 0[/tex] and [tex] \\ \sigma = 1[/tex].

As we can see, all of these concepts are intertwined, and each of them is important because:

Finding the probability

We can get the z-score using the formula:

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex] [1]

Where x is the raw value we want to standardize using the previous formula, and, in this case is 220 milligrams, [tex] \\ x = 220[/tex] milligrams.

Thus (without using units):

[tex] \\ z = \frac{x - \mu}{\sigma}[/tex]

[tex] \\ z = \frac{220 - 215}{15}[/tex]

[tex] \\ z = \frac{5}{15}[/tex]

[tex] \\ z = \frac{5}{5} * \frac{1}{3}[/tex]

[tex] \\ z = 1 * \frac{1}{3}[/tex]

[tex] \\ z = 0.3333333...[/tex]

To consult the standard normal table, we only need [tex] \\ z = 0.33[/tex], because it only has values for two decimal digits. As a result, the value will be a little inexact (but near to the true value) compared to that obtained using statistical software (or maybe a more precise table).

With this value (which is positive and, therefore, above the mean), we need to carefully see the first column of the mentioned table to find z = 0.3. Then, in the first row, we only need to select that column for which we can add the next digit, in this case, 3 (it appears as +0.03). That is, we are finding the probability for [tex] \\ z = 0.33[/tex].

Then, the cumulative probability for [tex] \\ z = 0.33[/tex] is:

[tex] \\ P(x<220) = P(z<0.33) = 0.62930[/tex]

However, the question is asking for "cholesterol content greater than 220 milligrams" or

[tex] \\ P(x>220) = P(z>0.33)[/tex]

Since

[tex] \\ P(x<220) + P(x>220) = 1[/tex]

Which is the same for a standardized value:

[tex] \\ P(z<0.33) + P(z>0.33) = 1[/tex]

Then

[tex] \\ P(z>0.33) = 1 - P(z<0.33)[/tex]

Therefore

[tex] \\ P(x>220) = P(z>0.33) = 1 - P(z<0.33)[/tex]

[tex] \\ P(x>220) = 1 - P(z<0.33)[/tex]

[tex] \\ P(x>220) = 1 - 0.62930[/tex]

[tex] \\ P(x>220) = 0.37070[/tex]

Thus, "the probability that the egg will be with cholesterol content greater than 220 milligrams" is 0.37070 (37.070% or simply 37%).

The graph below shows a shaded area that corresponds to the found probability.  

Answer:

c. One response and one or more explanatory variables are related.

Step-by-step explanation:

Regression shows the relationship between a given variable and its covariates, which can be one or more. The initial variable is the dependent or response variable selected to show its level of variation with respect to one or more independent or explanatory variables.

Therefore, regression modeling describes how one response is related to one or more explanatory variables.

Answer:

0.253 m/s

Step-by-step explanation:

radius r of the circular rise = 13 mm = 0.013 m

apparent weight loss = 50%

acceleration of the new weight = 0.5 x 9.81 = 4.905 m/s^2

centripetal acceleration = 9.81 -  4.905 =  4.905 m/s^2

centripetal acceleration = [tex]\frac{v^{2} }{r}[/tex]

where v is the acceleration at the rise and r is the radius of the rise

centripetal force = [tex]\frac{v^{2} }{r}[/tex]  = [tex]\frac{v^{2} }{0.013}[/tex]

4.905 = [tex]\frac{v^{2} }{0.013}[/tex]

[tex]v^{2}[/tex] = 0.063765

v = [tex]\sqrt{0.063765}[/tex] = 0.253 m/s

Answer:

q1: 80

q2:85

q3:91.5

Work:

- rearrange the numbers from least to greatest

68,78,82,84,86,89,94,100

q1- add 78 and 82, divide by 2

q2: add 84 and 86, divide by 2

q3- add 89 and 94, divide by 2

Step-by-step explanation:

1,2,3,4,5,6 is a set of 6 elements; therefore it has 2⁶=64 subsets

Answer:

Step-by-step explanation:

write down the expression:

x*z-y

lets plug in the variables to evaluate the expression:

8*4.6-(-0.1)

36.8+0.1

36.9

Answer:

Given,

X=8

y=-0.1

z=4.6

Now,

[tex]xz - y \\ = 8 \times 4.6 - ( - 0.1) \\ = 36.8 - ( - 0.1) \\ = 36.8 + 0.1 \\ = 36.9[/tex]

hope this helps..

Good luck on your assignment..

Answer:

2731

Step-by-step explanation:

3 - 1 = 2 = 2^1

11 - 3 = 8 = 2^3

43 - 11 = 32 = 2^5

171 - 43 = 128 = 2^7

683 - 171 = 512 = 2^9

Following the pattern, add 2^11 to 683.

683 + 2^11 = 683 + 2048 = 2731

Hi,

We have the sequence 1 , 3 , 11 , 43 , __.

Let us say  [tex]a_{1}=1 , a_{2}=3 , a_{3}=11 , a_{4}=43[/tex]  and it is required to find out [tex]a_{5}[/tex] .

As, we can see the pattern from the given four terms that,

[tex]a_{2}=a_{1}+2[/tex] i.e. [tex]a_{2}=a_{1}+2^{1}[/tex]

[tex]a_{3}=a_{2}+8[/tex] i.e. [tex]a_{3}=a_{1}+2^{3}[/tex]

[tex]a_{4}=a_{3}+32[/tex] i.e. [tex]a_{4}=a_{1}+2^{5}[/tex]

Since, the next term is obtained by adding the previous terms by odd powers of two.

Therefore, [tex]a_{5}=a_{4}+2^{7}[/tex] i.e. [tex]a_{5}=a_{4}+128[/tex] i.e [tex]a_{5}=43+128[/tex] i.e. [tex]a_{5}=171[/tex]

So, [tex]a_{5}=171.[/tex]

Hence, the next term of the sequence is 171.

Let us say  [tex]a_{1}=1 , a_{2}=3 , a_{3}=11 , a_{4}=43[/tex], [tex]a_{5}[/tex] [tex]= 683[/tex] and it is required to find out [tex]a_{6}[/tex].

Therefore, [tex]a_{6}=a_{5}+2^{9}[/tex] i.e. [tex]a_{6}=a_{5}+512[/tex] i.e [tex]a_{6}=683+512[/tex] i.e. [tex]a_{6}=1195[/tex]

So, [tex]a_{6}=1195.[/tex]

Hence, the next term of the sequence is 1195.

[tex]\displaystyle f(x) = (x + 2)(x + 2)[/tex]

[tex]\displaystyle f(x) = (x + 2)^2[/tex]

Answer:

[tex]f(x) = {(x + 2)}^{2} [/tex]

Step-by-step explanation:

[tex]f(x) = (x + 2)(x + 2) \\ f(x) = {(x + 2)}^{2} [/tex]

hope this helps you.

Answer:

x = pi/2 + 2 pi n                            x = pi + 2 pi n   where n is an integer

x = 5pi /3 + 2 pi n                      

Step-by-step explanation:

8 cos^2 x + 4 cos x-4 = 0

Divide by 4

2 cos^2 x +  cos x-1 = 0

Let u = cos x

2 u^2 +u -1 =0

Factor

(2u -1) ( u+1) = 0

Using the zero product property

2u-1 =0    u+1 =0

u = 1/2      u = -1

Substitute cosx for u

cos x = 1/2    cos x = -1

Take the inverse cos on each side

cos ^-1(cos x) = cos ^-1(1/2)   cos ^-1( cos x) =cos ^-1( -1)

x = pi/2 + 2 pi n                            x = pi + 2 pi n   where n is an integer

x = 5pi /3 + 2 pi n                      

Answer:

The sequence converges to 5/9.

Step-by-step explanation:

Suppose we have a sequence [tex]a_{n}[/tex]

Limit test:

[tex]L = \lim_{n \to \infty} a_{n}[/tex]

If L is a constant number, the sequence converges to L.

If L = 0, the test is inconclusive.

Otherwise, the sequence diverges.

In this question:

[tex]a_{n} = \frac{5n}{1 + 9n}[/tex]

Test:

[tex]L = \lim_{n \to \infty} (\frac{5n}{1 + 9n})[/tex]

Infinity limit, we consider the term with the highest degree in the numerator and in the denominator.

[tex]L = \lim_{n \to \infty} (\frac{5n}{1 + 9n}) = \lim_{n \to \infty} \frac{5n}{9n} = \lim_{n \to \infty} \frac{5}{9} = \frac{5}{9}[/tex]

The sequence converges to 5/9.

You can check whether the sequence is decreasing or not in this case and use them with the limit.

The answers are:

a) The sequence converges. The limit is 5/9

b) The sequence converges. The limit is 0

There are many methods to find that. But one reverse test to be sure that the given sequence is not converging is that the limit when n tends to infinity, won't come as a finite point.

[tex]a_n = \dfrac{5n}{1+9n}[/tex]

We have this sequence upper bounded by: [tex]\dfrac{5n}{9n} = \dfrac{5}{9}[/tex]  (assuming n starts from 1) since the less the denominator, the bigger the term is (since 9n is positive and 1 is positive so 1 + 9n > 9n )

The sequence is lower bounded by  [tex]\dfrac{5n}{n + 9n} = \dfrac{5n}{10n} = \dfrac{5}{10} = \dfrac{1}{2}[/tex]

Checking if the sequence is monotonic:

[tex]a_{n+1} - a_n = \dfrac{5(n+1)}{1+9(n+1)} - \dfrac{5n}{1+9n} = \dfrac{(5n + 5)(1+9n) - (5n)(10 + 9n)}{(10 + 9n)(1+ 9n)} \\\\=a_{n+1} - a_n = \dfrac{5}{(10+9n)(1+9n)} > 0[/tex]

Thus the sequence is monotonically increasing sequence.

Thus, since the sequence is bounded and monotonic, thus it is converging.

The limit of this sequence is found by:

[tex]lim_{n \rightarrow \infty}\dfrac{5n}{1+9n} = lim_{n \rightarrow \infty}\dfrac{5}{1/n+9} = \dfrac{5}{9}[/tex]

Thus, the limit of this sequence is 5/9

Checking the convergence of second given sequence:

Since the given sequence is always bigger than 0, thus it is lower bounded by 0.

Now the given sequence is monotonic decreasing since each term is less than or equal to previous term. Thus, due to it being monotonic decreasing and being bounded (and all terms are smaller or equal to 1, thus upper bounded too), we have this sequence as converging.

The limit of this sequence is taken by:

[tex]a_n = \dfrac{1}{mod(n, 2)}\\\\\rm As \: n \rightarrow \infty, \text{ we have mod(n,2)} \rightarrow \infty\\Thus, a_{\infty}= 0[/tex]

Thus, the given sequence converges to 0.

Learn more about convergence of sequence here:

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Answer:

y=54 degrees

Step-by-step explanation:

2y+72=180

2y=108

y=54

Answer:

B

Step-by-step explanation:

72 + y + y = 180

72 + 2y = 180

2y = 108

2y/2 = 108/2

y = 54

Hope this helps ^-^

*see attachment for the figure described

Answer:

5 units

Step-by-step explanation:

==>Given the figure attached below, let where FH and EG intercepted be K.

Since FH are midpoints of parallel lines, KE = KG = x.

Given that the area of the kite EFGH = 35 square units, and we know the length of one of the diagonals = HF = KF + KH = 2 + 5 = 7, we can solve for x using the formula for the area of a kite.

Area of kite = ½ × d1 × d2

Where d1 = KH = 7

d2 = EG = KE + KG = x + x = 2x

Area of kite EFGH = 35

THUS:

35 = ½ × 7 × 2x

35 = 1 × 7 × x

35 = 7x

Divide both sides by 7

35/7 = x

x = 5

Answer:

5 units

Step-by-step explanation:

Answer:

coefficient of the square is a.6

Answer:

4(x+8) + 5(x-3)

= 4x + 32 + 5x - 15

= 9x + 17

Answer:

9x+17

Step-by-step explanation:

HOpe It HelPs!!!!!

Also download photo math bc it help with stuff like this!!!!

Answer: Minerals

Step-by-step explanation:

The Mineral belongs to the geosphere option (3) Mineral is correct.

Different definitions of the geosphere have conflicting uses. It can be used to refer to the atmosphere, lithosphere, hydrosphere, and cryosphere as a whole. Different mass and/or energy flows can be exchanged between the various geosphere collectives.

We have a statement:

Which part of Earth belongs to the geosphere?

The options are:

As we know, air belongs to the atmosphere.

Plants belong to the biosphere

Water belongs to the hydrosphere

Mineral belongs to the geosphere

The mineral is the part of the earth that belongs to the geosphere.

Thus, the Mineral belongs to the geosphere option (3) Mineral is correct.

Learn more about the geosphere here:

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Answer:

B

Step-by-step explanation:

Answer:

[tex] = 4 - 12x \\ [/tex]

Answer C is correct.

Step-by-step explanation:

[tex] - 6( - \frac{2}{3} + 2x) \\ \frac{12}{3} - 12x \\ = 4 - 12x[/tex]

hope this helps you.

Answer:

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $65,351

Standard deviation r = $7,711

Number of samples n = 12

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

$65,351+/-1.645($7,711/√12)

$65,351+/-1.645($2,225.973962860)

$65,351+/-$3661.727168905

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Hey there! :)

Answer:

y = 8x + 6

Step-by-step explanation:

Slope-intercept form of an equation is:

y = mx + b

Rearrange the given equation to be in this format by isolating the 'y' variable:

8x - y = -6

Subtract -8x from both sides:

-y = -8x - 6

Divide both sides by -1:

y = 8x + 6

This is the slope-intercept form!

Answer:

1. True.

2. Down.

Step-by-step explanation:

1. True. The ball is at its highest point between 1.5 seconds and 2 seconds after it has been thrown. So we round off the time to nearest second to get 2 seconds.

So the ball is at the highest point 2 seconds after it has been thrown.

2.Down. Around 2.5 seconds after the ball is thrown, it carries on going down since the height is decreasing as the time moves on.

[tex]32500[/tex]

[tex]0.00604[/tex]

[tex]2.4 \times 10^6[/tex]

[tex]1.47 \times 10^{-3}[/tex]

Answer:

A) 32500

B) 0.00604

C) [tex]2.4 * 10^6[/tex]

D) [tex]1.47 * 10^{-3}[/tex]

Answer:

Step-by-step explanation:

The method applied in this scenario is called simple random sampling. A sample of 100 customers is chosen from a larger population of customers and each customer has the same chance of being selected for the survey at any given time. Also, the chance of selecting 100 customers from each store is the same during the sampling process. The order of sampling at each store does not follow a certain order, thus, It is different from systematic random sampling.

Answer:

C.

Step-by-step explanation:

[tex]1.5^2\pi =2.25\pi[/tex]

Answer:

b. At least 2 abandoned cars in the next week.

Answer:

40% probability that the package was weighed by Employee C

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Incorrect package.

Event B: Weighed by Employee C.

A supermarket has three employees who equally packages and weighs produce.

This means that [tex]P(B) = \frac{1}{3}[/tex]

Employee C records the correct weight 94% of the time

So incorrectly 6% of the time, which means that [tex]P(A|B) = 0.06[/tex]

Probability of an incorrect package:

4% of 1/3(A)

5% of 1/3(B)

6% of 1/3(C)

So

[tex]P(A) = \frac{0.04 + 0.05 + 0.06}{3} = 0.05[/tex]

What is the probability that the package was weighed by Employee C?

[tex]P(B|A) = \frac{\frac{1}{3}*0.06}{0.05} = 0.4[/tex]

40% probability that the package was weighed by Employee C

Answer:

The correct answer would be option 4

12x+20

 5y3

Hope that helps.Thank you!!!

Answer:

The degree of the polynomial is 3.

By the fundamental theorem of algebra, the function has three roots.

Two roots are given, so there must be one root remaining.

By the complex conjugate theorem, imaginary roots come in pairs.

The final root must be real.

Step-by-step explanation:

The number of roots remaining of the polynomial function f(x) = x³ − 7x − 6, with two roots -2, and 3 already given is 1. The nature of the root will be real.

A polynomial function is a function (say f(x)), which is defined over a polynomial expression in x. It is of the form,

f(x) = a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ, where a₀, a₁, a₂, ..., aₙ are constants, x is a variable, and n ≥ 0.

Degree of the polynomial function = n, the highest power of x.

The fundamental theorem of algebra is that the number of roots or solutions of a polynomial function = The degree of the polynomial function.

According to the complex conjugate theorem, if a polynomial function has complex roots, they will always exist in conjugate pairs, that is, if one root is of the form a + bi, the other root will be a - bi.

We are given a polynomial function f(x) = x³ - 7x - 6. Two roots of the equation are given as -2, and 3.

The degree of the equation = 3, so by the fundamental theorem of algebra number of roots = 3.

2 roots are given, so the number of roots remaining = 1.

Since none of the given roots are complex, the third root can not be complex, as complex roots always exist in conjugate pairs, coming from the complex conjugate theorem. So, the remaining root will be real in nature.

Learn more about the fundamental theorem of algebra and the complex conjugate theorem at

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Answer:

Option D

Step-by-step explanation:

Cost for the materials to resurface 1 meter of the road is $750.

∵ 1 kilometer = 1000 meter

∴ 0.25 kilometer = 0.25 × 1000

                            = 250 meters

∵ Cost to resurface 1 meter of road = $750

∴ Cost to resurface 250 meter of road = 750 × 250

                                                                = 187,500

The cost of materials to resurface 0.25 kilometer of a road is $187,500.

Option D is the answer.

Answer:

[tex]\boxed{\sf \ \ \ x^3+8x^2+11x-20 \ \ \ }[/tex]

Step-by-step explanation:

hello,

(x+5)(x+4)(x-1) is one example of polynomial which has roots of -5,-4 and 1

[tex](x+5)(x+4)(x-1) = (x+5)(x^2-x+4x-4)=(x+5)(x^2+3x-4)\\= x^3+3x^2-4x+5x^2+15x-20=x^3+8x^2+11x-20[/tex]

hope this helps