Calculate the size of angle 'i' in the triangle illustrated below.​

Answer:

b) 0.0608

Step-by-step explanation:

As it is mentioned that the next two days i.e 24 hours, the probability of the rain is uniformly distributed

Therefore the rain probability is

[tex]= \frac{T}{24}[/tex]

where,

T = Length of the time interval

Plus, as we know that rain is independent

So let us assume the rain between the 8: 40 AM and 2: 35 PM on single day is P1 and the time interval is 5 hours 55 minutes

i.e

= 5.91666 hours long.

So, P1 should be

[tex]= \frac{5.91666}{24}[/tex]

= 0.2465

Now we assume the probability of rain on day 2 is P2

So it would be same  i.e 0.2465

Since these events are independent

So, the total probability is

[tex]= 0.2465 \times 0.2465[/tex]

= 0.0608

Hence, the b option is correct

Answer:

Step-by-step explanation: [tex]\frac{5}{3}[/tex]÷[tex]\frac{1}{3}[/tex] =

(Decimal: 0.555556)

Answer:

A. [tex](3b+8)^2[/tex]

Step-by-step explanation:

[tex]9b^2+48b +64\\=(3b)^2 + 2\times 3b\times 8 +(8)^2\\=(3b+8)^2[/tex]

Answer:

3x+7

Step-by-step explanation:

Three times a number, let x be the number and 7 so plus 7

The algebraic expression for the given phrase is 3x+7. Therefore, the correct answer is option A.

The given phrase is "the sum of three times a number and seven".

Variables and constants are combined to generate algebraic expressions using a variety of techniques. Terms comprise expressions. A term is the sum of several elements. Both numerical and algebraic (literal) factors are acceptable.

Let the unknown number be x.

Three times of a number = 3x

The number 7 is added to the  obtained sum.

That is, 3x+7

So, the expression is 3x+7

The algebraic expression for the given phrase is 3x+7. Therefore, the correct answer is option A.

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Answer:

B

Step-by-step explanation:

The solid red line is y = x + 8 and the dashed line is y = -1/2x. Since the solution is shaded on the left side of y = x + 8 we know that the first part is y ≥ x + 8. We use ≥ and not > because the line is solid, meaning that all points on the line are also solutions to the inequality. The solution is shaded on the right side of y = -1/2x so the second part is y > -1/2x. We use > and not ≥ because the line is dashed, meaning that the points on the line are not solutions to the inequality. Therefore, the answer is y ≥ x + 8 and y > -1/2x.

Answer:

Correct answer is:

C. [tex]F(x) =-x^{2} -3[/tex]

Step-by-step explanation:

We are given a function:

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

The graph of [tex]G(x)[/tex] is also shown in the given question figure.

It is a parabola with vertex at (0,0).

Sign of [tex]x^{2}[/tex] is positive, that is why the parabola opens up.

General equation of parabola is given as:

[tex]y = a(x-h)^2+k[/tex]

Here, in G(x), a = 1

Vertex (h,k) is (0,0).

As seen from the question figure,

The graph of F(x) opens down that is why it will have:

Sign of [tex]x^{2}[/tex] as negative. i.e. [tex]a = -1[/tex]

And vertex is at (0,-3)

Putting the values of a and vertex coordinates,

Hence, the equation of parabola will become:

[tex]y = -1(x-0)^2+(-3)\\y = -x^2-3[/tex]

The correct answer is:

C. [tex]F(x) =-x^{2} -3[/tex]

The required equation of graph f(x) is [tex]y = -x^{2} -3[/tex]

Given that,

The graph of f(x), resembles the graph of G(x) = [tex]x^{2}[/tex].

We have to find,

Which of the following could be the equation of  f(x).

According to the question,

Function, [tex]G(x) = x^{2}[/tex],

The graph in the given question figure. It is a parabola with vertex at (0,0).

By the graph predict that Sign of [tex]x^{2}[/tex]  is positive, that is why the parabola opens up.

General equation of parabola is given by,

[tex]y = a(x-h)^{2} +k[/tex]

Where, a = 1, and vertex (h, k) is (0,0).

The graph of F(x) unknown function opens down ,

Sign of [tex]x^{2}[/tex] as negative. and the vertex is at (0,-3)

To find the equation of function f(x),

Putting the values of a and vertex coordinates,

[tex]y = a(x-h)^{2} +k[/tex]

The equation of parabola become:

[tex]y = -1(x-0)^{2} +(-3)\\\\y = -x^{2} -3[/tex]

Hence, The required equation of f(x) is [tex]y = -x^{2} -3[/tex].

For more information about Parabola click the link given below.

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Answer:

3.5

Step-by-step Explanation:

To find the IQR of the given data in the dot plot shown in the attachment below, follow the steps below:

==>Step 1: write out each data point represented on the dot plot in an ordered manner. A dot represents each value of number of goals scored by Luis each season.

Thus, we would have:

43 (1 dot)

44, 44, 44 (3 dots)

45, 45(2 dots)

47 (1 dot)

48, 48 (2 dots)

Our data set from the least to the highest is: 43, 44, 44, 44, 45, 45, 47, 48, 48

==>Step 2: Find the median

Our median value is the middle value of our data set. Thus:

43, 44, 44, 44, | 45, | 45, 47, 48, 48

Our median would be 45.

==>Step 3: Find the upper and lower median (Q3 & Q1):

Our upper median (Q3) would be the middle value of the upper portion of our data set, while our lower median would be the middle value portion of our data set.

Upper portion of our data set are the values we have from our median point upwards towards our right, while the lower portion are values downwards to our left. Thus, our upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:

43, (44, 44,) 44, | 45, | 45, (47, 48,) 48

Upper median (Q3) = (47+48) ÷ 2 = 47.5

Lower median (Q1) = (44+44) ÷ 2 = 44

==>Step 4: Subtract the lower median from the upper median to get the IQR.

IQR = Upper median (Q3) - Lower median (Q1)

IQR = 47.5 - 44

IQR = 3.5

Answer:

Step-by-step Explanation:

To find the IQR of the given data in the dot plot shown in the attachment below, follow the steps below:

==>Step 1: write out each data point represented on the dot plot in an ordered manner. A dot represents each value of number of goals scored by Luis each season.

Thus, we would have:

43 (1 dot)

44, 44, 44 (3 dots)

45, 45(2 dots)

47 (1 dot)

48, 48 (2 dots)

Our data set from the least to the highest is: 43, 44, 44, 44, 45, 45, 47, 48, 48

==>Step 2: Find the median

Our median value is the middle value of our data set. Thus:

43, 44, 44, 44, | 45, | 45, 47, 48, 48

Our median would be 45.

==>Step 3: Find the upper and lower median (Q3 & Q1):

Our upper median (Q3) would be the middle value of the upper portion of our data set, while our lower median would be the middle value portion of our data set.

Upper portion of our data set are the values we have from our median point upwards towards our right, while the lower portion are values downwards to our left. Thus, our upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:

43, (44, 44,) 44, | 45, | 45, (47, 48,) 48

Upper median (Q3) = (47+48) ÷ 2 = 47.5

Lower median (Q1) = (44+44) ÷ 2 = 44

==>Step 4: Subtract the lower median from the upper median to get the IQR.

IQR = Upper median (Q3) - Lower median (Q1)

IQR = 47.5 - 44

IQR = 3.5

Answer:

The greatest possible length is 14 cm.

The total number of smaller pieces is 37.

Step-by-step explanation:

The greatest common factor of these three numbers is 14.

Total number of smaller pieces = 10+12+15 = 37

Best Regards!

Answer:

x = 9

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

a right angle is 90 degrees, so

90 - 57 = 33

33 - 6 = 27

3 * 9 = 27 :)

Answer:

x = 3, -7

Step-by-step explanation:

Since you already have the factored form, all you need to do is set the equations equal to zero to find you roots:

x - 3 = 0

x + 7 = 0

x = 3, -7

Answer:

3 or -7

Step-by-step explanation:

For it to equal 0, x must be 3 or -7 because anything multiplied by 0 is 0. So you take each part, x-3 and see how you can make that a 0. x-3=0, therefore x must be 3. Other part x+7=0, x must be -7.

Answer:

(1) a. 0.0009

(2) d. 0.640

(3)

(4)Not disjoint

(5) a. nearly 0.

(6)b. 0.919

Step-by-Step Explanation:

(1)Probability of a baby being born with a birth defect =3%=0.03

The probability that both babies have birth defects=0.03 X 0.03= 0.0009.

(2)The probability of contracting the influenza virus each year = 20%=0.2

Therefore, the probability of not contracting the influenza virus =1-0.2=0.8

The probability that neither baby catches the flu in a given year:

=0.8 X  0.8

=0.64

(3)

P(A)=0.1

P(B)=0.6

P(A or B)=P(A)+P(B)=0.1 + 0.6 =0.7

P(A and B)=P(A)XP(B)=0.1 X 0.6 =0.06

(4)

P(A)=0.2

P(B)=0.9

Event A and B cannot be disjoint.

(5)

The probability of an American woman aged 20 to 24 having Chlamydia infection  [tex]=\dfrac{2791.5}{100000}[/tex]

The probability that three randomly selected women in this age group have the infection

[tex]=\dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \\\\=0.00002175\\\approx 0[/tex]

(6)The probability of an American woman aged 20 to 24 not having Chlamydia infection  [tex]=1-\dfrac{2791.5}{100000}[/tex]

The probability that three randomly selected women in this age group do not have the infection

[tex]=\left(1-\dfrac{2791.5}{100000}\right)^3\\\\=0.9186\\\approx 0.919[/tex]

Answer:

The answer is B.

Step-by-step explanation:

There are two shirts, both cost 10.

10 + 10.

The variable is the cost of the hat, which we add on.

10 + 10 + x.

Finally, 50 is the total price so that is going to be what it equals.

10 + 10 + x = 50

Answer:

Area: 96

Perimeter: 44

Step-by-step explanation:

The area of a parallelogram is the height multiplied by the base, which in this case is 8 and 12, respectively. This means that the area is 96 square centimeters. The perimeter is the sum of all the side lengths, or 10+12+10+12=44 cm. Hope this helps!

Answer:

For this case they want to proof if the proportion of readers own a Rolls royce is less than 0.29 and that wuld be the alternative hypothesis. The complement would represent the null hypothesis. Then the system of hypothesis for this case are:

Null hypothesis: [tex] p \geq 0.29[/tex]

Alternative hypothesis: [tex]p< 0.29[/tex]

Step-by-step explanation:

For this case they want to proof if the proportion of readers own a Rolls royce is less than 0.29 and that wuld be the alternative hypothesis. The complement would represent the null hypothesis. Then the system of hypothesis for this case are:

Null hypothesis: [tex] p \geq 0.29[/tex]

Alternative hypothesis: [tex]p< 0.29[/tex]

Answer:

[tex] 4x^5\sqrt[3]{3x} [/tex]

Step-by-step explanation:

I'm not sure I understand the problem, but I think it's this:

[tex] \sqrt[3]{16x^7} \times \sqrt[3]{12x^9} = [/tex]

[tex]= \sqrt[3]{16 \times 12 \times x^{16}}[/tex]

[tex]= \sqrt[3]{192 \times x^{15} \times x}[/tex]

[tex] = \sqrt[3]{64 \times 3 \times (x^5)^3 \times x} [/tex]

[tex] = \sqrt[3]{4^3 \times 3 \times (x^5)^3 \times x} [/tex]

[tex] = 4x^5\sqrt[3]{3x} [/tex]

The product of the given expression [tex]\sqrt[3]{16x^7} \times \sqrt[3]{12x^9}[/tex] will be [tex]4x ^5\sqrt[3]{3x}[/tex].

[tex]4x ^5\sqrt[3]{3x}[/tex].

If we have a^b then 'a' is called the base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\[/tex]

The given expression is follows as

[tex]\sqrt[3]{16x^7} \times \sqrt[3]{12x^9} \\\\\sqrt[3]{16\times 12 \times x^{16}} \\\\\sqrt[3]{192\times x \times x^{15}} \\\\\sqrt[3]{64\times 3\times x \times (x^{5})^3} \\\\\sqrt[3]{4^3 \times 3\times x \times (x^{5})^3}[/tex]

[tex]4x ^5\sqrt[3]{3x}[/tex]

Therefore, the product of the given expression [tex]\sqrt[3]{16x^7} \times \sqrt[3]{12x^9}[/tex] will be [tex]4x ^5\sqrt[3]{3x}[/tex].

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Answer:

(a) A 95% confidence interval for the population mean is [433.36 , 448.64].

(b) A 95% upper confidence bound for the population mean is 448.64.

Step-by-step explanation:

We are given that article contained the following observations on degrees of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:

420, 425, 427, 427, 432, 433, 434, 437, 439, 446, 447, 448, 453, 454, 465, 469.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                              P.Q.  =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean = [tex]\frac{\sum X}{n}[/tex] = 441

            s = sample standard deviation = [tex]\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }[/tex]  = 14.34

            n = sample size = 16

            [tex]\mu[/tex] = population mean

Here for constructing a 95% confidence interval we have used One-sample t-test statistics as we don't know about population standard deviation.

So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;

P(-2.131 < [tex]t_1_5[/tex] < 2.131) = 0.95  {As the critical value of t at 15 degrees of

                                             freedom are -2.131 & 2.131 with P = 2.5%}  

P(-2.131 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.131) = 0.95

P( [tex]-2.131 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.131 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

P( [tex]\bar X-2.131 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.131 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95

95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X -2.131 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X +2.131 \times {\frac{s}{\sqrt{n} } }[/tex] ]

                                      = [ [tex]441-2.131 \times {\frac{14.34}{\sqrt{16} } }[/tex] , [tex]441+2.131 \times {\frac{14.34}{\sqrt{16} } }[/tex] ]

                                      = [433.36 , 448.64]

(a) Therefore, a 95% confidence interval for the population mean is [433.36 , 448.64].

The interpretation of the above interval is that we are 95% confident that the population mean will lie between 433.36 and 448.64.

(b) A 95% upper confidence bound for the population mean is 448.64 which means that we are 95% confident that the population mean will not be more than 448.64.

[tex]\sqrt{-2}[/tex]

[tex]=\sqrt{-1}\sqrt{2}[/tex]

[tex]=\sqrt{2}i[/tex]

[tex]\sqrt{-3}[/tex]

[tex]=\sqrt{-1}\sqrt{3}[/tex]

[tex]=\sqrt{3}i[/tex]

Answer: first box is 20 (1/2)

Second box is 10

Answer:

Answer: first box is 20 (1/2)

Second box is 10

Step-by-step explanation:

Answer:

Just replace the variables with the number

d5

c4 (uh oh)

a2

b-3

f-7

d-c = 5 - 4 = 1

1/3 - 4(ab+f)

2 x -3 = -6

-6 + -7 = -13

-13 x 4 = -52

1/3 - -52 = 1/3 + 52 =

52 1/3

Hope this helps

Step-by-step explanation:

Answer:

c. x > 7 / 5 or x < 1 / 5

Step-by-step explanation:

2 | 5x − 4 | > 6

| 5x - 4 | > 3

So combining the 2 above we get:

Correct choice is c.

Answer:

x>7/5                 or            x <1/5

Step-by-step explanation:

2 | 5x − 4 | > 6

Divide by 2

2/2 | 5x − 4 | > 6/2

 | 5x − 4 | > 3

There are two solutions one positive and one negative ( the negative flips the inequality)

5x-4 >3      or         5x-4 < -3

Add 4 to each side

5x-4 +4>3+4   or              5x-4+4 < -3+4

5x >7                  or            5x <1

Divide by 5

x>7/5                 or            x <1/5

Answer:

[tex] \frac{13}{12}[/tex]

Step-by-step explanation:

[tex]p(5, \: \: 12) = (x, \: \: y) \\ \implies \: x = 5, \: \: y = 12 \\ \because \: {r}^{2} = {x}^{2} + {y}^{2} \\ \therefore \: {r}^{2} = {5}^{2} + {12}^{2} = 25 + 144 = 169 \\ \therefore \: {r} = \sqrt{169} \\ \therefore \: {r} = 13 \\ \because \cosec \theta = \frac{r}{y} \\ \therefore \cosec \theta = \frac{13}{12} \\ [/tex]

Answer:

no solutions

Step-by-step explanation:

6-3x=4-x-3-2x

Combine like terms

6-3x =1 -3x

Add 3x to each side

6 -3x+3x = 1-3x+3x

6 =1

This is not true so there are no solutions

Answer:

No solutions.

Step-by-step explanation:

6 - 3x = 4 - x - 3 - 2x

Add or subtract like terms if possible.

6 - 3x = -3x + 1

Add -1 and 3x on both sides.

6 - 1 = -3x + 3x

5 = 0

There are no solutions.

Answer:

Some situation can be where D equals

Step-by-step explanation:

8 is also known as 8 wholes so,

800/100 and 1600/50 are both equal to 8.

Please mark Brainliest

Let's write an equation.

[tex]\frac{3}{2}d = 12[/tex]

If d is being multiplied by a fraction, simply multiply both sides of the equation by the reciprocal of that fraction to get d by itself.

So in this problem, since d is being multiplied by 3/2,

we multiply both sides of the equation by 2/3.

On the left, (2/3)(3/2) cancels out and on the right, if you multiply 12 by 2/3, the 12 and 3 reduce to 4 and 1 so we have (4)(2) which is 8.

Answer:

8.

Step-by-step explanation:

If y = ax^n then the derivative y' = anx^(n-1)

g(t) = 3t^2 + 2t so  the derivative g'(t)

2*3 t^(2-1) + 2t(1-1)

= 6t + 2

At t =1 its value is  6 + 2 = 8.

Answer:

bad words

Step-by-step explanation:

it is your shet

Answer:

2.25

Step-by-step explanation:

Prime Factors of 24 is 2 x 2 x 2 x 3

2 + 2 + 2 + 3 = 9

9/4 = 2.25

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:

157

Step-by-step explanation:

Given the sequence

7; 17; 37; 77; ___ ; 317

Let the blank space=x

We notice that the difference is always multiplied by 2.

Therefore:

x-77=80

x=80+77

x=157

The number that should be in the blank space of the sequence is 157.

Now, observe the pattern in full:

The sequence concept to solve the problem. Then the missing number of the sequence is 157.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

Given

The sequence is [tex]7, 17, 37, 77, \_\_\_\_ , 317[/tex]

We can observe that the difference is getting double That can be given as

[tex]1 7\ \ - 7 = 10\\\\37 - 17 = 20 \\\\77 - 37 = 40[/tex] and so on.

Then the fourth number will be

[tex]77 + 80 = 157[/tex]

Then the fifth number will be

[tex]157+160 = 317[/tex]

Thus, the missing number of the sequence is 157.

More about the sequence link is given below.

https://brainly.com/question/21961097

Answer:

sdvsdsdfdff

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

10p > 200

10 * 10 < 200

10 * 15 < 200

10 * 20 = 200

10 * 25 > 200

Answer:

The answer is D

Step-by-step explanation: