if log3. 18+log3. 3-log3. x=3​

The probability that more than 12 of these selected children have exactly two siblings is P(13) + P(14) + P(15) + ... + P(20).

To find the probability that more than 12 of the selected children have exactly two siblings, we need to calculate the probability of selecting 13, 14, 15, ..., or 20 children with exactly two siblings, and then add up these individual probabilities.

Let's calculate the probability for each case:

Selecting 13 children with exactly two siblings:

Probability of selecting a child with exactly two siblings: 30% = 0.3

Probability of selecting a child without exactly two siblings: 1 - 0.3 = 0.7

Probability of selecting 13 children with exactly two siblings:

\((0.3)^{13}\) * \((0.7)^{20-13}\) * (20 choose 13)

Selecting 14 children with exactly two siblings:

Probability of selecting 14 children with exactly two siblings:

\((0.3)^{14}\) * \((0.7)^{20-14}\) * (20 choose 14)

Selecting 15 children with exactly two siblings:

Probability of selecting 15 children with exactly two siblings:

\((0.3)^{15}\) * \((0.7)^{20-15}\) * (20 choose 15)

Continue this process for selecting 16, 17, 18, 19, and 20 children with exactly two siblings.

Finally, add up all these individual probabilities to get the probability that more than 12 of the selected children have exactly two siblings:

P(more than 12 children with exactly two siblings) = P(13) + P(14) + P(15) + ... + P(20)

Performing the calculations for each case and summing them up will give you the desired probability.

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Answer: B -8/7x+11/7

Step-by-step explanation:

First find the slope using teh formule \(y_{2}-y_1\\x_2-x_1\) which is teh formula for slope in this case the slope would be (-8/7) then pick a pair of points in this case we will use (4,-3) plug in the slope and the coordinate pair into the intercept formula (y=mx+b) so it would look like -3=-8/7(4)+b then solve for b so the answer be 8/7x+11/7

The digraph of the relation r is on the image at the end.

Here we just need to make two sets of numbers in columns, one column is the domain which we know is {1,2,3,4}, the other column is the range which we know is {1, 2, 3, 4}

To make the digraph, just connect the points in the way that the relation suggest.

This is, we can see the point (1, 2)

Then we make an arrow that comes from the "1" in the domain and goes to the "2" in the range.

The digraph can be seen in the image at the end of the answer.

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Answer:

(x²)² + 2(9)x² + 9²

(x² + 9)²

Step-by-step explanation:

Given expression in the question is,

(x⁴ + 18x²+ 81)

We have to factorize this expression.

We know the formula of (a + b)² = a² + 2ab + b²

Comparing this formula with the given expression,

a = x²

b = 9²

By substituting these values in the given formula,

Therefore, (x⁴ + 18x²+ 81) = (x²)² + 2(9)x² + 9²

                                         = (x² + 9)²

Answer:

4.24

Step-by-step explanation:

3.64 + 3/5

3.64 + 0.6 <--- 3/5 = 0.6 as a decimal

= 4.24 <--- Final answer

Answer:

65

Step-by-step explanation:

hope this helps

Answer:

32256y^4

Step-by-step explanation:

Answer:

P=−0.001x+3−1800/x

Step-by-step explanation:

Write the problem as a mathematical expression.

P(x)=−0.001x²+3x−1800/x

Divide each term in Px=−0.001x²+3x−1800 by x.

Px/x=−0.001x²/x + 3x/x + −1800/x

Cancel the common factor of x.

P=−0.001x²/x+3x/x + −1800/x

Simplify each term.

P=−0.001x+3−1800/x

The value of x according to the information given about the trapezoid is; 5.375

The sum of angles in a trapezoid like other Quadrilaterals is; 180°.

However, since the trapezoid is Isosceles, Top angles are equal and bottom angles are equal too.

Hence, we have;

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Answer:

C. 11

Step-by-step explanation:

Kind people at the bottom of the "Experts" answer said it was 11

The product to the nearest whole number is equivalent to zero.

Given is to write the product (0.7 x 0.85) to the nearest whole number.

We have the product as -

0.7 x 0.85

(7/10) x (85/100)

(7/10) x (17/100)

119/1000

0.119

0.12

0.1

0

Therefore, the product to the nearest whole number is equivalent to zero.

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Ratio test:The ratio test is used to find out whether the given series is convergent or divergent. It is applied to series whose terms are positive. the series diverges by the Root Test because p= 1.

And if the limit is exactly equal to 1, then the test is inconclusive. The ratio test is one of the best tests that can be used for the majority of series.The ratio test can be expressed as below Root test:The root test is used to determine whether a series is convergent or divergent. It is a quick method for determining the convergence of an infinite series. This test is an application of the limit comparison test.

The test states that if the limit as n approaches infinity of the nth root of the absolute value of the nth term is less than 1, then the series converges absolutely. If the limit is greater than 1 or infinite, then the series diverges. And if the limit is exactly equal to 1, then the test is inconclusive. It is one of the most useful convergence tests.

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Answer:

11+x

Step-by-step explanation:

Let the number be x

11 more than the more will be

11+x

Answer:

It should be last choice

Answer:

D

Step-by-step explanation:

add 2 to the x value then add 2 to the y value

Bob and Patrick are competing to see who can gain weight the fastest. Bob started out weighing 155.3 pounds and gains 2.5 pounds per week. Patrick started out weighing 139.7 pounds and gains 3.8 pounds per week. 12 weeks will both of them weigh the same,

These questions are as follows :

Bob started out weighing 155.3 pounds and gains 2.5 pounds per week.

let the month be x: 155.3+2.5x ....1

Patrick started out weighing 139.7 pounds and gains 3.8 pounds per week

let the week be x: 139.7 +3.8x ...2

weeks will both of them weigh the same

questions 1 and 2

155.3+2.5x =139.7 +3.8x

155.3-139.7= 3.8x-2.5x

15.6 = 3.8y -2.5 x

15.6=1.3x

15.6/1.3= 12

now value x =12, week  are 12 in which both them have equal weight

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Answer:

2(2x + 1)(3x - 5)

Step-by-step explanation:

The series 2*13 diverges. The sum is DIVERGES. the series 2*13 is an arithmetic series with a common difference of 13. As the terms keep increasing by 13, the series will diverge towards infinity and does not have a finite sum. Therefore, the series is divergent, and its sum is denoted as "DIVERGES."

The given series 2*13 is an arithmetic series with a common difference of 13. This means that each term in the series is obtained by adding 13 to the previous term.

The series starts with 2 and continues as follows: 2, 15, 28, 41, ...

As we can observe, the terms of the series keep increasing by 13. Since there is no upper bound or limit to how large the terms can become, the series will diverge towards infinity. In other words, the terms of the series will keep getting larger and larger without bound, indicating that the series does not have a finite sum.

Therefore, we conclude that the series 2*13 is divergent, and its sum is denoted as "DIVERGES."

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Answer:

x + 14.7

Step-by-step explanation:

x + 6.2 + 8.5.

Combine like terms

x + 14.7

At time t, the first pool contains 50+2.3t gal of water, while the second pool contains 102.2-3.5t gal.

They contain the same amount of water when these quantities are equal:

50 + 2.3t = 102.2 - 3.5t

5.8t = 52.2

t = 9

so the pools have the same amount of water after 9 min have passed.

The pools will contain same amount of water in 9 minutes

Let the number of minutes that the pools contain the same amount of water be represented by t.

Since the first pool contains 50 gallons of water and is filling at a rate of 2.3 gallons per minute, then this will be:

= 50 + (2.3 × t)

= 50 + 2.3t ......... equation i

The second pool contains 102.2 gallons of water and is draining at a rate of 3.5 gallons per minute. This will be:

= 102.2 - (3.5 × t)

= 102.2 - 3.5t ........ equation ii

Equate both equations and this will be:

50 + 2.3t = 102.2 - 3.5t

Collect like terms

2.3t + 3.5t = 102.2 - 50

5.8t = 52.2

Divide both side by 5.8

5.8t/5.8 = 52.2/5.8

t = 9

In conclusion, they'll have same amount of water in 9 minutes

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Answer:

non colinear

Step-by-step explanation:

Colinear means in a line

ABE are not in a line

Answer:

Step-by-step explanation:

ABE are NOT in the same  line

Identities are given as cos(a + B) = cosa cosß-sina sinß, cos²p+ sin²p=1,(a) cos(a+B) =cosa cosß + sina sinß (b)  (27 - (a− p)) = cos((2-a) + B)=cos(2-a + B) (c) sin(7/12)cos(7/12)= (√6+√2)/4

Part (a)To prove the identity for cos(a-B) = cosa cosß+ sina sinß, we start from the identity

cos(a+B) = cosa cosß-sina sinß, and replace ß with -ß,

thus we getcos(a-B) = cosa cos(-ß)-sina sin(-ß) = cosa cosß + sina sinß

To prove the identity for sin(a-B)=sina-cosß-cosa sinß, we first replace ß with -ß in the identity sin(a+B) = sina cosß+cosa sinß,

thus we get sin(a-B) = sin(a+(-B))=sin a cos(-ß) + cos a sin(-ß)=-sin a cosß+cos a sinß=sina-cosß-cosa sinß

Part (b)To prove that as (27 - (a− p)) = cos((2-a) + B),

we use the identity cos²p+sin²p=1cos(27-(a-p)) = cos a sin p + sin a cos p= cos a cos 2-a + sin a sin 2-a = cos(2-a + B)

Part (c)Given cos²a= 1+cos2a 2 , sin² a= 1-cos2a 2We are required to calculate cos(7/12) and sin(7/12)cos(7/12) = cos(π/2 - π/12)=sin (π/12) = √[(1-cos(π/6))/2]

= √[(1-√3/2)/2]

= (2-√3)/2sin (7/12)

=sin(π/4 + π/6)

=sin(π/4)cos(π/6) + cos(π/4) sin(π/6)

= √2/2*√3/2 + √2/2*√1/2

= (√6+√2)/4

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Answer:

C. They are not commutative because the domains of f(x) and g(x) are different.

9514 1404 393

Answer:

  AC = AB

Step-by-step explanation:

The attached diagram shows the only segments that are the same length are ...

  AC = AB

__

A and B lie on the same vertical line, 5 units apart. A and C are separated by 3 units vertically and 4 units horizontally, so AC is the hypotenuse of a 3-4-5 right triangle.

Errors -in -variables bias represents the option c. arises from error in the measurement of the independent variable.

In a regression model Errors -in -variables bias is not only a problem in small samples.

It can affect large samples as well.

This can lead to biased estimates of the regression coefficients.

This can lead to biased and inconsistent estimates of the regression coefficients and standard errors.

Even if the error in the dependent variable is zero-mean.

Even if the measurement error in the dependent variable is negligible.

The problem is not limited to small samples.

And can be particularly severe when the measurement error in the independent variable is large.

Therefore, the errors -in - variables bias arises from the option c. arises from error in the measurement of the independent variable.

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Answer: 1 13/30 hrs left

Step-by-step explanation:

his class lasts 2 5/6 hrs...and he has already been in there for 1 2/5 hr

so the time he has left can be found by subtracting the time he has been there from the total time of the class

2 5/6 - 1 2/5....

(2 - 1) = 1 : (5/6 - 2/5 = 25/30 - 12/30 = 13/30)

so he has 1 13/30 hrs left

Answer:

13/30 hours

Step-by-step explanation:

11/6 - 7/5 = 55/30 - 42/30 = 13/30

Answer:

We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps

We need to use distributive property to find the missing factors:

"The distributive property of multiplication says that a multiplication fact can be broken up into the sum of two other multiplication facts."

because 5+2 = 7.

So the correct answer are:

7 X 3 = ( 5 X 3 ) + ( 2 X 3 )

Then

7 X 3 = ( 2 X 3 ) + ( 5 X 3 )

because:

( 5 X 3 ) + ( 2 X 3 ) = ( 2 X 3 ) + ( 5 X 3 )

Also :

7 X 3 = ( 1 X 3) + ( 6 X 3 )

Because 7 x3 = (6+1) x 3 = 1 X 3) + ( 6 X 3 )

To find the value of the treatment sum of squares for an ANOVA with four normal populations, we need to calculate the deviation of each sample mean from the overall mean and square these deviations, weighting each deviation by the sample size minus one. We can then sum these squared deviations to get the treatment sum of squares.

The first step is to calculate the sample grand mean, which is simply the average of all the sample means:

Sample grand mean = (54 + 64 + 72 + 62) / 4 = 63

Next, we calculate the deviation of each sample mean from the sample grand mean, weighting each deviation by the sample size minus one:

Deviation of sample mean for sample a = (54 - 63)^2 * (6 - 1) = 225

Deviation of sample mean for sample b = (64 - 63)^2 * (6 - 1) = 5

Deviation of sample mean for sample c = (72 - 63)^2 * (6 - 1) = 245

Deviation of sample mean for sample d = (62 - 63)^2 * (6 - 1) = 5

To calculate the treatment sum of squares, we simply sum these squared deviations:

Treatment sum of squares = 225 + 5 + 245 + 5 = 480

The treatment sum of squares measures the variability between the sample means and is an important component of the ANOVA F-test for testing the null hypothesis that the population means are all equal. To complete the ANOVA calculation, we would also need to calculate the residual sum of squares and use the two sums of squares to calculate the F-statistic and associated p-value.

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Answer:

I don't have much time cause Zoom is gonna start but the answer to 8 is B

Step-by-step explanation:

The answer is B because since it's a triangle it will always add up to 180.

Triangles= 180 always

Answer:

The above statement is written as

\( \frac{22}{100} \times b\)

Hope this helps you

£40 is shared as £5, £15 and £20. 88p is shared as 16p, 32p and 40p. 180° is shared as 40°, 40° and 100°

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

a) Share £40 in the ratio 1:3:4

For the first ratio = (1/8) * £40 = £5

For the second ratio = (3/8) * £40 = £15

For the third ratio = (4/8) * £40 = £20

b) Share 88p in the ratio 2:4:5

For the first ratio = (2/11) * 88p = 16p

For the second ratio = (4/11) * 88p = £32

For the third ratio = (5/11) * 88p = 40p

c) Share 180° in the ratio 2:2:5

For the first ratio = (2/9) * 180° = 40°

For the second ratio = (2/9) * 180° = 40°

For the third ratio = (5/9) * 180° = 100°

The ratios are shown above

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Answer:

17.1

Step-by-step explanation:

14% can be re-written as 0.14

You can then multiply 15*0.14 to find 14% of 15.

(The outcome is 2.1)

Then, add 15 + 2.1(14% of 15) together and you get 17.1!

Hope this helped. Good luck on your homework.