Please help! Correct answer only please! I need to finish this assignment by today.

Doug is birdwatching at the coast. He records each bird he sees.

What is the experimental probability that the next bird Doug sees will be a cormorant?

Simplify your answer and write it as a fraction or whole number.

a) The probability that less than 3 of 10 children are left-handed is 0.3426824848.

b) At least 7 children should be chosen such that the probability of choosing at least 1 left-handed child is greater than 0.95.

c) The probability that the first left-handed child found is the eighth chosen child is 0.07744

a)

The probability that a child is left-handed is 0.2 and the probability that a child is not left-handed is 0.8.

The probability that less than 3 of 10 children are left-handed is:

P(0 left-handed) + P(1 left-handed) + P(2 left-handed)

The probability that 0 of 10 children are left-handed is:

(0.8)¹⁰ = 0.1073741824

The probability that 1 of 10 children are left-handed is:

10 × (0.8)⁹ × (0.2) = 0.153658644

The probability that 2 of 10 children are left-handed is:

45 × (0.8)⁸ × (0.2)² = 0.0816496584

Therefore, the probability that less than 3 of 10 children are left-handed is:

0.1073741824 + 0.153658644 + 0.0816496584 = 0.3426824848

b)

The probability of choosing at least 1 left-handed child is 1 - the probability of choosing 0 left-handed children.

The probability of choosing 0 left-handed children is:

(0.8)ⁿ

where n is the number of children chosen.

We want the probability of choosing at least 1 left-handed child to be greater than 0.95.

Solving for n:

1 - (0.8)ⁿ> 0.95

(0.8)ⁿ < 0.05

n > 6.3

Therefore, at least 7 children should be chosen such that the probability of choosing at least 1 left-handed child is greater than 0.95.

c)

The probability that the first left-handed child found is the eighth chosen child is:

(0.8)⁷ × (0.2)

= 0.07744

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The fraction of the tank that had water on the third day is  1/8.

To find out the fraction of the tank that had water after the third day, we need to calculate the fraction of the water that was used on the first three days and subtract it from 1 (the fraction of a full tank).
On the first day, 1/3 of the water was used.
On the second day, 1/6 of the water was used.
On the third day, 3/8 of the water was used.
To find the total fraction of the water that was used on the first three days, we need to add these fractions:
1/3 + 1/6 + 3/8 = 8/24 + 4/24 + 9/24 = 21/24
Therefore, 21/24 of the water was used on the first three days.
To find the fraction of the tank that had water after the third day, we need to subtract the fraction of the water that was used from 1/1 - 21/24 = 24/24 - 21/24 = 3/24 = 1/8

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Data can be divided on the basis of qualitative nature into two types as follows:

Thus, it is clear that nominal data can not be ranked or ordered but ordinal data are the type of qualitative data that are categorised and then ranked or ordered.

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To determine the value of b in the expression x^2b(x - 7)^2, we can compare it with the given equivalent expression x^2b49. By equating the two expressions, we can solve for b.

In the given expression x^2b(x - 7)^2, we can simplify it by multiplying the exponents:

x^2 * b * (x - 7)^2 = x^2b(x^2 - 14x + 49)

Comparing this with the equivalent expression x^2b49, we can equate the coefficients of the like terms:

x^2b(x^2 - 14x + 49) = x^2b49

From this equation, we can see that the coefficient of the x term is -14b. For it to be equivalent to 49, we have:

-14b = 49

Solving for b, we divide both sides by -14:

b = -49/14 = -7/2

Therefore, the value of b is -7/2.

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Answer:

I thinks is

A is the best answer

The submarine's elevation would have changed by -3/2 mile after 4 explorations.

So, to find how many explorations will the submarine's elevation has changed by -1 miles:

Then,

Therefore, the submarine's elevation would have changed by -3/2 mile after 4 explorations.

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The complete question is given below:
The elevation of a small submarine changes by -3/8 mile after each exploration. After how many explorations will the submarine's elevation have changed by -3/2 miles?

Answer:

Once!

Step-by-step explanation:

Cause 7 times 2 is 14 so it can't be 2.

I hope this helps and have a great day! :)

Answer:

1 Remindaer 5

Step-by-step explanation:

7 goes into 12 once, then subtract 7 and you get the remander which is five

Answer:

I really recomend the site called desmos graphing calculator. im currently doing my own work or I would do this for you. but this site is amazing so check it out. all you gotta do is plug it in!

Answer:

If they are not congruent then two angels are not vertical angels

Step-by-step explanation:

The Power series representation of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

The Maclaurin series expansion method can be used to get the power series of such functions if the function has a composite part, such as the multiplication or quotient form.

An infinite series in mathematics known as a "power series" can be compared to a polynomial with an infinite number of terms.

The Maclaurin series will be used in this instance to expand the function:

\(tan^-^1x\) = \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^2^n^+^1}{2n+1}\)

and for    \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{(x^3)^2^n^+^1}{2n+1}\)

=>  \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\)  -------(i)

and f(x) = \(x^8tan^-^1x^3\)

now we need to multiply \(x^8\) in the above equation to get the power series expansion of f(x)

\(x^8tan^-^1x^3\) = \(x^8\) \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\)

=> \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3^+^8}{2n+1}\)

=>  \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

so the expansion of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

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Option (B) and (E) functions are solutions of the differential equation y′′+2y′+1y=0.

An equation known as a differential equation describes the derivative or derivatives of an unknown function. Because they are equations involving a function and its derivatives (where the variable is a function rather than a number) (the functions obtained by differentiating it). Save this response. Common differential equations are used in everyday life to compute the flow of electricity, the motion of an item back and forth like a pendulum, and to illustrate the principles of thermodynamics. Additionally, in medical terminology, they are employed to graphically monitor the progression of illnesses.

Given that,

y′′+2y′+1y = 0

A.E = m² + 2m + 1 = 0

or, (m + 1)² = 0

or, m = ± 1

y = (c₁ + c₂x)e⁻ˣ

y = c₁e⁻ˣ + c₂xe⁻ˣ

Thus, option (B) and (E) are solutions  of the differential equation:

y′′+2y +1y = 0.

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Answer:

Perpendicular lines have opposite reciprocal slopes, so the slope of the line is -.5

Now, y=.5x+b, so you plug in the point -2,6.

6=.5(-2)+b

6=-1+b, so b=7.

The equation is y= .5x+7

\( \dashrightarrow \sf \dfrac{1}{3}[3 + 7 \times 3]\)

\( \\ \\ \)

write the equation

\( \\ \\ \)

\( \dashrightarrow \sf \dfrac{1}{3}[3 +21]\)

\( \\ \\ \)

\( \dashrightarrow \sf \dfrac{1}{3} \times 24\)

\( \\ \\ \)

\( \dashrightarrow \sf \dfrac{24}{3}\)

\( \\ \\ \)

\( \cancel{ \dashrightarrow \sf \dfrac{24}{3}}\)

\( \\ \\ \)

\(\dashrightarrow \sf8\)

Answer :- 8

Answer:

x=17 degrees

Step-by-step explanation:

All 3 angles = 180 degrees

So 90 + 54 + (x+19) = 180

Combine like terms

163 + x = 180

Subtract 163 from both sides

x = 180-163

x = 17

The vertices of the image of the figure LMNO following a 90° rotation about the origin are; L'(3, 5), M'(6, 6), N'(3, 4), O'(6, 4), indicating that the corresponding segment L'O' and M'N' are on the lines x = 6 and x = 3, the correct option is option B.

B. x = 6 and x = 3

A rotation is the circular motion about a specified center of rotation of the points on the figure of the preimage.

The coordinates of the vertices of the figure LMNO are; L(-5, 3), M(-6, 6), N(-4, 6), O(-4, 3)

The transformation of the figure LMNO = 90° clockwise rotation about the origin.

The coordinate of the image of the point (x, y) following a rotation of 90° about the origin is the point (y, -x).

Therefore, the coordinates of the image of the figure LMNO following a rotation of 90° about the origin are found as follows;

L(-5, 3) \(\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}\) L'(3, 5)

M(-6, 6) \(\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}\) M'(6, 6)

N(-4, 6) \(\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}\) N'(6, 4)

O(-4, 3) \(\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}\) O'(3, 4)

The points L' and O' are colinear with the line x = 3, and the points M' and N' are colinear with the line x = 6

Therefore, the corresponding segment to the segment LO, L'O' lie on the the line x = 3, and the corresponding segment to the segment MN, M'N' lie on the line x = 6

The correct option is B. x = 6, and x = 3

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The 95% confidence interval for the proportion of all American adults who support same-sex marriage is 0.485 to 0.549.

The following formula is used to calculate a confidence interval for the proportion of all American adults who support same-sex marriage

KI = p ± z*(√(p*(1-p)/n))

where:

p = percentage of respondents who support same-sex marriage

n = sample size (total number of respondents)

z = z-score for the desired confidence level

substitute all the values in the above formula,

CI = 0.517 ± 1.96*(√(0.517*(1-0.517)/n))

To compute confidence intervals, we need to know the sample size (n). the sample size is large, so we can use the normal distribution.

the random sample size of 1000 is taken as no sample size is specified.

For n = 1000,

CI = 0.517 ± 1.96*(√(0.517*(1-0.517)/1000))

= 0.517 ± 0.032

Therefore, the 95% confidence interval for the proportion of all American adults who support same-sex marriage is 0.485 to 0.549.

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{1, 4, 5, 6, 7, 8, 9, 10} correctly describes the complement of event A

The complement of an event A is the set of all outcomes in the sample space S that are not in A.

In this case, we have:

Event A: P(A) = {2, 3}

Sample space: S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

The complement of A, denoted by A', is the set of all outcomes in S that are not in A. Therefore, we have:

A' = {1, 4, 5, 6, 7, 8, 9, 10}

Hence, {1, 4, 5, 6, 7, 8, 9, 10} correctly describes the complement of event A: P(A) = {2, 3}, S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

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The perimeter of a rectangle is calculated using the formula:

The question gives that the length and width of the rectangle are equal. This means that:

Therefore, the perimeter will be calculated to be:

The perimeter is given to be 32 m. Therefore, the length of the rectangle will be:

Using the formula for the area:

Therefore, the area will be:

The area is 64 square meters.

The pool can fit  14000 Liter of water in it

What is a rectangular prism?

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in form. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its form. A rectangular prism may be found in everyday objects like a geometry box, notebooks, diaries, and rooms.

Properties of rectangular prism

Formula for volume of rectangular prism  is length x width x height

Here,

length = 4 meter , width = 3. 5 meter , height = 1 meter

Volume= (4 x 3.5 x 1) m^3

Volume = 14 m^3

Volume in liter = 14000 L

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Given that the ratio of cheese sandwiches to egg sandwiches on a store shelf is 8 to 18.there are eight to eighteen cheese sandwiches and egg sandwiches on a store shelf.

The ratio of cheese sandwiches to egg sandwiches on a store shelf is 8 : 18 We can simplify the given ratio by dividing both the numerator and the denominator by the greatest common factor (GCF) of 8 and 18, which is 2. 8 : 18 (dividing both the numerator and denominator by 2) is simplified to 4 : 9Therefore, the simplified ratio of cheese sandwiches to egg sandwiches on a store shelf is 4 : 9.

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Answer:

Step-by-step explanation:

1) x² - x + 2 ≤ 0

  x² -x - x + 2 ≤0

  x(x - 1) - (x - 1) ≤ 0

(x - 1)(x - 1) ≤0

No solution

3) x² + 9x + 18 < 0

x² + 6x + 3x + 18 < 0

x(x + 6) +3(x + 6) < 0

(x + 6)(x + 3) < 0

x  > - 6;  x < -3

-6 <  x < -3

4) m² - 7m - 10 < 0

a = 1 ; b = -7 c = -10

D = b² - 4ac = (-7)² - 4*1*(-10) = 49 + 40 = 89

\(m=\dfrac{-b+\sqrt{D}}{2a} ; m = \dfrac{-b-sqrt{D}}{2a}\\\\\\m=\dfrac{-(-7)+\sqrt{89}}{2*1} \ ; \ m=\dfrac{-(-7)-\sqrt{89}}{2*1}\\\\\\m=\dfrac{7+9.43}{2} \ ; \ m=\dfrac{7-9.43}{2}\\\\m=\dfrac{16.43}{2} \ ; \ m=\dfrac{-2.43}{2}\\\\m=8.22 ; m = -1.21\)

-1.21 < m < 8.22

-1 < m < 8

5) 2x² - 3x - 14 < 0

2x² + 4x - 7x - 14 < 0

2x(x + 2) - 7(x + 2) < 0

(x + 2)(2x -7) < 0

-2 < x < 7/2

-2 < x < 3.5

Answer:

corresponding parts must be in the same position

Step-by-step explanation:

you can't proportion something to something that can't use the ratio.

Answer:

b

Step-by-step explanation:

a) The probability of the second ball being drawn from Urn 2 is 2/3.

b) The probability that the second ball is black given that it is drawn from Urn 2 is 3/4.

c) The probability that the second ball is black is 11/24.

d) The probability that the second ball was drawn from Urn 1 given that it is black is 4/11.

e) The probability that the first ball drawn was red, given that the second ball drawn is black is 4/11.

f) The probability that both balls drawn are red is 1/6.

Given that Urn 1 contains two red balls and two black balls, the probability of drawing one ball is 1/2. Urn 2 contains one red ball and three black balls, the probability of drawing one ball is 1/4. Urn 3 contains two red balls and one black ball, the probability of drawing one ball is 1/3.

Let R1 and R2 represent the events of drawing a red ball from Urn 1 and Urn 2, respectively.

Also, let B1 and B2 represent the events of drawing a black ball from Urn 1 and Urn 2, respectively.

For this probability problem, we need to consider the three conditional events: drawing a second ball from Urn 2 if the first ball is red from Urn 3, drawing a second ball from Urn 1 if the first ball is black from Urn 3, and the overall probability of drawing a second ball that is black.

a) If the first ball is red from Urn 3, then there are two possible scenarios. Either the second ball is drawn from Urn 1, or it is drawn from Urn 2. The probability of the second ball being drawn from Urn 2 is 2/3, and the probability of it being drawn from Urn 1 is 1/3.

b) The probability that the second ball is black given that it is drawn from Urn 2 is 3/4.

c) If we consider all possible scenarios, the probability that the second ball is black is

(1/3)×(1/2)+(2/3)×(3/4) = 11/24.

d) The probability that the second ball was drawn from Urn 1 given that it is black is P(B1)×P(1|B1) / P(B),

where P(B1) is the probability of drawing a black ball from Urn 1, P(1|B1) is the probability of drawing from Urn 1 given that the first ball is black, and P(B) is the probability of drawing a black ball regardless of which urn it is drawn from. Plugging in the values,

we get (1/2)×(1/2) / (11/24) = 4/11.

e) The probability that the first ball drawn was red given that the second ball drawn is black is P(R1|B2) = P(B2|R1)×P(R1) / P(B2), where P(R1) is the probability of drawing a red ball from Urn 1, and P(B2|R1) is the probability of drawing from Urn 2 given that the first ball is red. Plugging in the values, we get (3/4)×(1/2) / (11/24) = 4/11.

f) The probability that both balls drawn are red is P(R1)×P(R2|R3) = (1/2)×(1/4) = 1/8.

Therefore, the probability of the second ball being drawn from Urn 2 is 2/3. The probability that the second ball is black given that it is drawn from Urn 2 is 3/4. The probability that the second ball is black is 11/24. The probability that the second ball was drawn from Urn 1 given that it is black is 4/11. The probability that the first ball drawn was red given that the second ball drawn is black is 4/11. The probability that both balls drawn are red is 1/6.

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Answer:

17.5

Step-by-step explanation:

5.25 divided by 0.3

Answer:

AB + BC + CD = AD

Therefore, 4x + 1 = 19

Step-by-step explanation:

The total length of the line (AD) is a sum of line AB, line BC, and line CD

AD = AB + BC + CD

19 = x + x+1 + 2x

4x + 1 = 19



Answer/Step-by-step Explanation:

I think the equation is true because AD = AB + BC + CD ,which represents the equation given

Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

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To indicate that one value is greater than, less than, or equal to another, an inequality in a word problem is written using mathematical symbols like, >, or.

Determine the values that the inequality will compare before using the correct mathematical symbol to express the relationship between them in a word problem. Once the values have been determined, represent the relationship between them using the proper mathematical symbol. For instance, the inequality would be phrased as "x > 5" if the problem stated that "x is greater than 5". Other possible symbols for inequalities are (less than), (less than or equal to), and (more than) (greater than or equal to). It is crucial to always use the appropriate mathematical symbols when creating an inequality since they are needed to indicate the direction of the comparison. Moreover, make sure to incorporate all essential components, including the values being compared, the mathematical symbol, and the equals sign, if required. These procedures can be used to effectively write an inequality in a word problem.

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To determine if parents feel differently today compared to twenty years ago, we can conduct a hypothesis test using the given data. Let's set up the null and alternative hypotheses:

Null hypothesis (H0): The proportion of parents who feel it is a serious problem that high school students are not being taught enough math and science is the same today as it was twenty years ago.

Alternative hypothesis (Ha): The proportion of parents who feel it is a serious problem that high school students are not being taught enough math and science is different today compared to twenty years ago.

We can use a hypothesis test for a single proportion to compare the proportions. Let p1 represent the proportion twenty years ago, and p2 represent the proportion today.

Given information:

Twenty years ago: 53% of parents felt it was a serious problem.

Recent survey: 325 out of 850 parents felt it was a serious problem.

Using the recent survey data, we can calculate the sample proportion of parents who feel it is a serious problem today:

p2 = 325/850 = 0.3824

To calculate the test statistic, we need to compare the sample proportion today to the proportion twenty years ago.

Under the null hypothesis, we assume that p1 = p2. Thus, we can estimate the common proportion using the combined sample proportion:

p = (x1 + x2) / (n1 + n2)

where x1 is the number of parents who felt it was a serious problem twenty years ago, and n1 is the total number of parents twenty years ago.

Assuming p1 = p2 = p, we can calculate the test statistic:

z = (p2 - p) / sqrt(p(1-p)(1/n1 + 1/n2))

We can then compare the test statistic to the critical value at the α = 0.1 level of significance.

If the test statistic falls in the rejection region (beyond the critical value), we reject the null hypothesis and conclude that parents feel differently today compared to twenty years ago. Otherwise, if the test statistic falls within the non-rejection region, we fail to reject the null hypothesis and do not conclude a significant difference.

Since the exact values for the number of parents and the total number of parents twenty years ago are not provided, we cannot calculate the precise test statistic or critical value.

However, you can use the provided formula and the specific values to perform the calculations and draw a conclusion based on the test statistic and critical value for α = 0.1.

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Answer:

B.2x-5=x+25

Step-by-step explanation:

2x+15=35            x = 10

4/5x=8                x = 10

2x-5=x+25          x = 30

2x+7=27             x = 10

4/3x=x+10/3       x = 10