the number 6 is in the domain and the range of the function A(n)​

Answer:

9 1/2

Step-by-step explanation:

Answer:

[tex]\frac{3x}{32}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}\times \frac{1}{4}x[/tex]

[tex]\frac{3\times \:1\times \:x}{8\times \:4}[/tex]

[tex]=\frac{3x}{32}[/tex]

Answer:

[tex]y(x)==(c_1+c_2x)e^{3x}+3x^2+4x[/tex]

Step-by-step explanation:

We are given that  non-homogeneous equation

[tex]y''-6y'+9y=27x^2-18[/tex]

Particular solution of given equation is given by

[tex]y_p=3x^2+4x[/tex]

We  have to find the general solution of the non-homogeneous equation.

Auxillary equation

[tex]m^2-6m+9=0[/tex]

[tex]m^2-3m-3m+9=0[/tex]

[tex]m(m-3)-3(m-3)=0[/tex]

[tex](m-3)(m-3)=0[/tex]

[tex]m=3,3[/tex]

[tex]y_c=(c_1+c_2x)e^{3x}[/tex]

General solution is given by

[tex]y(x)=y_c+y_p[/tex]

[tex]y(x)==(c_1+c_2x)e^{3x}+3x^2+4x[/tex]

Answer:

2 and 256

Step-by-step explanation:

Check the attachment

Answer:

2  and255

Step-by-step explanation:

look atyourquestion

Answer:

41 in.

Step-by-step explanation:

You have to use the Pythagorean Theorem.  You have the values for the two sides (length and width).  Now, you need to solve for the hypotenuse (diagonal).

a² + b² = c²

(35.7)² + (20.1)² = c²

1274.49 + 404.01 = c²

1678.5 = c²

√1678.5 = c

c = 40.97

c ≈ 41

The diagonal length is 41 in., to the nearest whole number.

Answer:

It can travel 45 / 2 = 22.5 miles per gallon so the answer is 22.5 * 5.6 = 126 miles.

Answer:

Step-by-step explanation:

In constructing a confidence interval about the mean, the central limit theorem is usually applied. This makes it possible to use the normal distribution. As the number of samples is increasing, the distribution tends to be normal. This would require using the z distribution. In the case where the sample size is small, we assume a normal distribution and use the t distribution. Therefore, the given statement is true.

Answer:

  5.5 in

Step-by-step explanation:

The altitude is (√3)/2 times the length of a side, so the side length is the inverse of that times the length of the altitude:

  side length = (2/√3)(4.8 in) ≈ 5.5 in

Answer:

Step-by-step explanation:

i. The parameter the manager is interested in is number of defective bulbs in a case.

ii. Null hypothesis: u <= 20

Alternative hypothesis: u > 20

iii. The critical value the manager should use to determine the rejection region is 1.645.

iv. Using the p value which is 0.021 at 0.10 significance level we will reject the null as the p value is less than 0.1. Thus, we will conclude that there is enough statistical evidence to prove that the mean number of defective bulbs per case is greater than 20.

v. Our risk of committing type one error is alpha which is the level of significance set for the hypothesis test. An alpha level of 0.1 shows that we are willing to accept a 10% chance that we are wrong when you reject the null hypothesis.

vi. With a low p value, the data has enough evidence to prove that the mean number of defective bulbs per case is greater than 20 during the morning shift

vii. The manager will conclude that there is sufficient statistical evidence to prove that mean number of defective bulbs per case is greater than 20 during the morning shift.

viii. the p value if this is a two tail test would be 0.03662

Answer:

The parabolic shape of the door is represented by [tex]y - 32 = -\frac{2}{49}\cdot x^{2}[/tex]. (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

[tex]y - k = C \cdot (x-h)^{2}[/tex]

Where:

[tex]h[/tex] - Horizontal component of the vertix, measured in inches.

[tex]k[/tex] - Vertical component of the vertix, measured in inches.

[tex]C[/tex] - Parabola constant, dimensionless. (Where vertix is an absolute maximum when [tex]C < 0[/tex] or an absolute minimum when [tex]C > 0[/tex])

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

[tex]V (x,y) = (0, 32)[/tex] (Vertix)

[tex]A (x, y) = (-28, 0)[/tex] (x-Intercept)

[tex]B (x,y) = (28. 0)[/tex] (x-Intercept)

The following equation are constructed from the definition of a parabola:

[tex]0-32 = C \cdot (28 - 0)^{2}[/tex]

[tex]-32 = 784\cdot C[/tex]

[tex]C = -\frac{2}{49}[/tex]

The parabolic shape of the door is represented by [tex]y - 32 = -\frac{2}{49}\cdot x^{2}[/tex]. Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

[tex]y -32 = -\frac{2}{49} \cdot x^{2}[/tex]

[tex]x^{2} = -\frac{49}{2}\cdot (y-32)[/tex]

[tex]x = \sqrt{-\frac{49}{2}\cdot (y-32) }[/tex]

If y = 22 inches, then x is:

[tex]x = \sqrt{-\frac{49}{2}\cdot (22-32)}[/tex]

[tex]x = \pm 7\sqrt{5}\,in[/tex]

[tex]x \approx \pm 15.652\,in[/tex]

Head must 15.652 inches away from the edge of the door.

Answer:

The complete factored form of this equation is (d + 6)²

Step-by-step explanation:

The first step in factoring this equation is multiply the first term and the last term together. Out first term is d² and our last term is 36. Since d² does not have a coefficient, then we assume this number to be 1.

1 × 36 = 36

So, now we need to find two factors that multiply to 36 and add together to get 12. Two factors that best represents this is 6 and 6. So, we will plug these numbers into our equation. Replace 12d with 6d + 6d.

d² + 6d + 6d + 36

Group the first two terms together and the last two terms together.

(d² + 6d) + (6d + 36)

Now, find the greatest common factor of each parentheses and factor the terms.

d(d + 6) + 6(d + 6)

From looking at this, we can tell that this equation is a perfect squared equation. So, this means instead of writing both parentheses, we can just write one of the parentheses and square it.

So, the factored form of this equation is (d + 6)²

Answer: x < -4 and -4 > x

x < -4 would be one of the two options.

This means that any number less than -4 is a solution.

This is shown by drawing an open dot on -4 and then

drawing an arrow to the left shows all answer less tan 4.

-4 > x would be our second option.

We can change it to say x < -4.

All I did was changed the order of numbers and switched the sign.

So x < -4 is the same as the first option.

Answer:

Step-by-step explanation:

[tex]H_0 : \texttt {null hypothesis}\\\\H_1 : \texttt {alternative hypothesis}[/tex]

The null hypothesis is the drink preferences are not changed at coffee shop.

The alternative hypothesis is the drink preferences are changed at coffee shop.

the level of significance = α = 0.05

We get the Test statistic

[tex]\texttt {Chi square}=\frac{\sum (F_o-F_e)}{F_e}[/tex]

Where, [tex]F_o[/tex] is observed frequencies and

[tex]F_e[/tex] is expected frequencies.

N = 6

Degrees of freedom = df = (N – 1)

= 6 – 1

= 5

the level of significance  α = 0.05

Critical value = 11.07049775

( using Chi square table or excel)

Tables for test statistic are given  below

                             F_o                F_e                 Chi square

Americanos           115                 153                9.4379

Capp.                     88                  94.5             0.447

Espresso               69                  63                 0.5714

Lattes                    59                  49.5               1.823

Macchiatos           44                   45                 0.022

Other                    75                   45                  20

Total                    450                 450                 32.30

[tex]\texttt {Chi square}=\frac{\sum (F_o-F_e)}{F_e}[/tex] = 32.30

P-value = 0.00000517

( using Chi square table or excel)

P-value < α = 0.05

So, we reject the null hypothesis

This is because their sufficient evidence to conclude that Drink preferences are changed at coffee shop.

Answer:

=>The area of the larger circle is 16π

=>The area of 1 small circle is 4π

=>The total area of the two small circles will be one-half of the area of the large circle

Step-by-step explanation:

To find out which statements are true about the areas of the given circle, let's find out dimensions and areas of the 3 circles:

==>Large circle (A):

diameter = 8

radius (r) = ½ × 8 = 4

Area = πr² = π4² = 16π

Area of Circle A = 16π

==>Small circles (B and C):

Diameter of 1 small circle = ½ of diameter of big circle A

Therefore, d of small circles = ½×8 = 4

Radius of small circles = ½d = ½×4 = 2

Area of the 2 small circles = 2(πr²)

= 2(π2²)

= 2(π4)

Area of 2 small circles = 8π

Area of 1 small circle = 4π

From our calculation the statements that would be true are:

=>The area of the larger circle is 16π

=>The area of 1 small circle is 4π

=>The total area of the two small circles will be one-half of the area of the large circle (8π/16π = ½). I.e. area of 1 big circle is twice that of the total area of the 2 small circles (2 × 8π).

Answer:

A, B, and E

Step-by-step explanation:

I'm doing the exam review hope this helps!

Answer:

c. (280+ 0.050d)w

Step-by-step explanation:

Owen gets paid $280 per week

=$280 per week

Plus 5% commission on all sales of electronic equipment

=0.05

If he sells the dollar(d) worth of electronic equipment in one week

=(0.05d)w

Total earnings

=280w+0.05(d)w

Factorise

=(280+0.05d)w

Owen=(280+0.05d)w

c. (280+ 0.050d)w

*0.050=0.05

Answer:

56

Step-by-step explanation:

to find x u add 60 and 64 which is 124

the total is 180 so u would subtract 180 by 124

hope this helps

Answer:

Step-by-step explanation:

The justification of each given statements in the question are:

11) F. Definition of right angle.

12) D. Definition of supplementary <'s.

13) A. Definition of congruence.

14) C. Definition of complementary <'s.

15) L. Congruent supplementary theorem

16) H. Vertical angle theorem.

17) G. Angle addition postulate.

18) J. Supplementary theorem.

Answer:

66.7%

Step-by-step explanation:

The numbers less than 7 on the list are 3, 4, 5, and 6.

4 numbers are less than 7 out of total 6 numbers.

4/6 = 2/3 = 0.667 = 66.7%

Answer:

The longer diagonal has a length of 7.3 meters.

The angles are 31.65° and 18.35°

Step-by-step explanation:

If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:

50°, 130° and 130°.

The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.

Using the law of cosines in one of these two triangles, we have:

[tex]diagonal^2 = a^2 + b^2 - 2ab*cos(130\°)[/tex]

[tex]diagonal^2 = 3^2 + 5^2 - 2*3*5*(-0.6428)[/tex]

[tex]diagonal^2 = 53.284[/tex]

[tex]diagonal = 7.3\ meters[/tex]

So the longer diagonal has a length of 7.3 meters.

To find the angles that this diagonal forms with the sides, we can use the law of sines:

[tex]a / sin(A) = b/sin(B)[/tex]

[tex]5 / sin(A) = diagonal / sin(130)[/tex]

[tex]sin(A) = 5 * sin(130) / 7.3[/tex]

[tex]sin(A) = 0.5247[/tex]

[tex]A = 31.65\°[/tex]

The other angle is B = 50 - 31.65 = 18.35°

Please check the image attached for better comprehension.

Answer:

125.72

Step-by-step explanation:

radius equals pi(r)2

rectangle equals b times h

radius is 6.28

rectangle is 132

you now subtract them

132 minus 6.28 which is 125.72

hope this helps

Answer:

No the other answer is wrong, I just did it, this is the right answer for sure, I will give it right after you subscibe to Iconic Cooking, here is the answer...

Step-by-step explanation:

128.86

Answer:

[tex]\boxed{ \ dY_t=(2\theta+2\psi Y_t+\phi^2)dt+2\phi \sqrt{Y_t}dW_t\ }[/tex]

Step-by-step explanation:

it is a long time I have not applied Ito's lemma

I would say the following

for [tex]f(x)=x^2[/tex]

f'(x)=2x

f''(x)=2

so using Ito's lemma we can write that

[tex]dY_t=2V_tdV_t+\phi^2dt[/tex]

[tex]dY_t=2(\theta+\psi V_t^2)dt+2\phi V_tdW_t+\phi^2dt[/tex]

[tex]dY_t=(2\theta+2\psi V_t^2+\phi^2)dt+2\phi V_tdW_t[/tex]

so it comes

[tex]dY_t=(2\theta+2\psi Y_t+\phi^2)dt+2\phi \sqrt{Y_t}dW_t[/tex]

Answer:

3 - 3i

Step-by-step explanation:

The conjugate is the opposite sign i of the original. So you simply switch the sign of 3i to -3i to find your conjugate.

Answer:

3 - 3i

Step-by-step explanation:

Change the sign only of the imaginary part.

The conjugate of 3 + 3i is 3 - 3i.

Answer:

1/2 (simplified)

Step-by-step explanation:

6 numbers (that's the total probability) --> 6 denominator

3 are odd (odd numbers in the probability) --> 3 numerator

so => 3/6

--> simplify

1/2

Hope this helps!

Answer: (fоg)(24)=5

Step-by-step explanation:

(fоg)(24) is f of g of 24. This means you plug in g(24) into f(x).

[tex]g(24)=\sqrt{24-8}[/tex]

[tex]g(24)=\sqrt{16}[/tex]

[tex]g(24)=4[/tex]

Now that we know g(24), we can plug it into f(x).

f(4)=2(4)-3

f(4)=8-3

f(4)=5

Answer:

It would increase by 1

Step-by-step explanation:

Step 1: Find the mean of the original

(9+6+1+1+3)/5 = 4

Step 2: Find the mean of the new

(9+6+1+1+8)/5 = 5

Step 3: Find the difference

5 - 4 = 1

Answer:

5/33649= approx 0.00015

Step-by-step explanation:

Total number of outcomes are  C24 6= 24!/(24-6)!/6!=19*20*21*22*23*24/(2*3*4*5*6)= 19*14*22*23

Half of the Committee =3 persons. That mens that number of the women in Commettee=3.  3 women from 6 can be elected C6  3  ways ( outputs)=

6!/3!/3!=4*5*6*/2/3=20

So the probability that 3 members of the commettee are women  is

P(women=3)= 20/(19*14*22*23)=5/(77*19*23)=5/33649=approx 0.00015

The probability that precisely half of the members will be women is;

P(3 women) = 0.1213

This question will be solved by hypergeometric distribution which has the formula;

P(x) = [S_C_s × (N - S)_C_(n - s)]/(NC_n)

where;

S is success from population

s is success from sample

N is population size

n is sample size

We are give;

s = 3 women (which is precisely half of the members selected)

S = 6 women

N = 24 men and women

n = 6 people selected

Thus;

P(3 women) = (⁶C₃ * ⁽¹⁸⁾C₍₃₎)/(²⁴C₆)

P(3 women) = (20 * 816)/134596

P(3 women) = 0.1213

Read more at; https://brainly.com/question/5733654

The image is missing, so i have attached it.

Answer:

x = 56.44°

Step-by-step explanation:

From the attached image, we can see that this is a right angle triangle which has opposite, adjacent and hypotenuse as sides. Since we want to find the angle x, thus, we can make use of trigonometric ratios.

From the attached image, the side opposite to angle x is 10ft and the hypotenuse is 12 ft.

From trigonometric ratios, we know that, sin x = opposite/hypotenuse

So, sin x = 10/12

x = sin^(-1) (10/12)

x = sin^(-1) 0.8333

x = 56.44°

Answer:

84 x^12

Step-by-step explanation:

(4x)(-3x^8)(-7x^3)

Multiply the numbers

4*-3 *-7 = 84

x* x^8 * x^3 = Add the exponents = x^(1+8+3) = x^12

84 x^12

Answer:

C. 84x^12

Step-by-step explanation:

edge 2020

Answer:

Denver got 72 inches of snow over three days.

Step-by-step explanation:

Since it has snowed consistently for 3 days, accumulating an inch of snow per hour, over that number of days at least 72 inches of snow would have accumulated.

This is so because, since each day has 24 hours, in the event of a 3-day snowfall, it would have lasted 72 hours. Thus, while every hour a new inch of snow would accumulate, at the end of the storm the city of Denver would have accumulated 72 inches of snow (1 x 24 x 3 = 72).

Answer:

b: a over b divided by do over c

Step-by-step explanation:

You can solve this by plugging in numbers for each variable.

For example: a=1, b=4, c=1, d=2

1/4 ÷ 1/2 = 0.125

If you plug in the numbers for all the equations listed, only 1/4 ÷ 2/1 = 0.125.

Answer:

[tex]0.58 - 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.466[/tex]

[tex]0.58 + 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.694[/tex]

The 90% confidence interval would be given by (0.466;0.694)

Step-by-step explanation:

The estimated proportion of interest would be:

[tex] \hat p=\frac{29}{50}= 0.58[/tex]

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by [tex]\alpha=1-0.90=0.1[/tex] and [tex]\alpha/2 =0.05[/tex]. And the critical value would be given by:

[tex]z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64[/tex]

The confidence interval for the mean is given by the following formula:  

[tex]\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex]

If we replace the values obtained we got:

[tex]0.58 - 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.466[/tex]

[tex]0.58 + 1.64\sqrt{\frac{0.58(1-0.58)}{50}}=0.694[/tex]

The 90% confidence interval would be given by (0.466;0.694)