Given the sequence 3, −9, 27, −81,..., what is an expression for an+1 in terms of an?

The correct answer is (C). There is a negative association between being male and favoring the color blue because the number of males who chose blue is smaller than the number of males who chose the other colors. From the given data, we can see that only 4 males chose blue, while 12 chose red and 24 chose green. This means that blue was the least favorite color among males.

Option (A) is incorrect because the number of males and females who responded to the survey is not relevant to the association between being male and favoring the color blue.

Option (B) is incorrect because it suggests that females favored the color blue more than males, which is not supported by the given data.

Option (D) is incorrect because it only compares the percentages of males and females who chose blue, without considering the percentages of other colors.

Option (E) is also incorrect because it only considers the percentages of males and females who chose blue, without considering the overall distribution of colors among males and females.

So, the answer is option C.

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Using the normal distribution and the central limit theorem, it is found that his risk is of 0.0456.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

The risk is the probability of being more than 2 ounces from the mean, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Applying the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{2}{1}\)

\(Z = 2\)

The risk is P(|Z| > 2), which is 2 multiplied by the p-value of Z = -2.

0.0228 x 2 = 0.0456

The risk is of 0.0456.

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The correct answer is (c) x's tens digit. , if x = 693, that  yield  9 is (x / 10) % 10

Here's how we have to evaluate the expression:

Substitute x = 693 into the expression to get:

(693 / 10) % 10

Perform the division first:

693 / 10 = 69 with a remainder of 3.

Substitute the result of the division into the expression:

(69 % 10)

To Evaluate the remainder use the modulo operator (%):

69 % 10 = 9

The result, 9, is the tens digit of 693.

=(x / 10) % 10.

The tens digit of a number refers to the digit in the second place from the right, or the digit that represents the multiple of 10. For example, in the number 365, the tens digit is 6 because it represents 6 tens or 60.

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A circle is a curve sketched out by a point moving in a plane. The area of the circle will be equal to 28.26 in².

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The area of the circle will be approximately equal to the area of the parallelogram. Therefore, the area of the parallelogram can be written as,

\(\text{Area of parallelogram} = 9.42 \times 3 = 28.26\rm\ in^2\)

Hence, the area of the circle will be equal to 28.26 in².

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The probability that the top four finishers in a cross country race of 40 athletes are all from the same team can be calculated using the permutation formula.

The expression 10P4 represents the number of ways to choose four athletes from the team of 10.

To calculate 10P4, we use the permutation formula, which is nPr = n! / (n - r)!. In this case, n represents the number of athletes on the team (10) and r represents the number of athletes we want to choose (4).

Plugging in the values, we have 10P4 = 10! / (10 - 4)! = 10! / 6! = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1) = 210.

Therefore, the probability that the top four finishers are all from the same team is 210 out of the total number of possible outcomes in the race.

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In linear equation,    k = 3 is  the value of k that makes the equation .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                            Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

3x + 5 − x − 2 = 5x + 3 − kx

3x - x - 5x + kx = -5 + 2 + 3

- 3x + kx =  -3 + 3

  - 3x + kx = 0

     kx = 3x

       k = 3

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A. statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.

B. the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).

C. Both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.

What is null hypothesis?

In statistics, the null hypothesis (H0) is a statement that assumes that there is no significant difference between two or more groups, samples, or populations.

(a) To test the hypothesis that there is a difference in the population means between breast-fed infants and formula-fed infants, we can use a two-sample t-test with equal variances. The null hypothesis is that the population means are equal, and the alternative hypothesis is that they are not equal. Using α = 0.05 as the significance level, the critical value for a two-tailed test with 40 degrees of freedom is ±2.021.

The test statistic can be calculated as:

t = (x1 - x2) / (Sp * √(1/n1 + 1/n2))

where x1 and x2 are the sample means, Sp is the pooled standard deviation, and n1 and n2 are the sample sizes. The pooled standard deviation can be calculated as:

Sp = √(((n1 - 1) * s1² + (n2 - 1) * s2²) / (n1 + n2 - 2))

where s1 and s2 are the sample standard deviations.

Plugging in the values from the table, we get:

t = (13.3 - 12.4) / (1.776 * √(1/23 + 1/19)) = 2.21

Since the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is a statistically significant difference in the mean blood hemoglobin levels between breastfed infants and formula-fed infants at α = 0.05.

(b) To construct a 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants, we can use the formula:

(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)

where tα/2,Sp is the critical value of the t-distribution with (n1 + n2 - 2) degrees of freedom and α/2 as the significance level.

Plugging in the values from the table, we get:

(x1 - x2) ± tα/2,Sp * √(1/n1 + 1/n2)

= (13.3 - 12.4) ± 2.021 * 1.776 * √(1/23 + 1/19)

= 0.56 ± 0.62

Therefore, the 95% confidence interval for the difference in population means between breast-fed infants and formula-fed infants is (−0.06, 1.18).

(c) The hypothesis test and the confidence interval both lead to the conclusion that there is a difference in the mean blood hemoglobin levels between breast-fed infants and formula-fed infants. In part (a), we rejected the null hypothesis that the population means are equal, which means we concluded that there is a difference. In part (b), the confidence interval does not contain 0, which means we can reject the null hypothesis that the difference in means is 0 at the 95% confidence level.

Therefore, both the hypothesis test and the confidence interval lead to the same conclusion that there is a difference in the mean blood hemoglobin levels between the two feeding regimens.

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Velocity is the measure of the rate of change of position, or the speed of an object in a specific direction.

Since you drove from home to school and then back home, the velocity on the return home would be different than the velocity on the way to school, since the direction of travel is different.

The average speed for the trip can be calculated by dividing the total distance (25 miles) by the total time (1 hour). Therefore, the average speed of the trip is 25 miles per hour.

Acceleration is the rate of change of velocity, or the rate at which an object speeds up or slows down. In this case, you would have to accelerate when you reach the school in order to pick up your child and then accelerate again when you leave the school in order to return home.

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Answer:

From Tuesday to Thursday, the total change in the value of the stock was $-0.36.

There are 3 days from the opening of the stock market on Tuesday and the close of the stock market on Thursday.

The average change in the value of the stock from the opening of the stock market on Tuesday and the close of the stock market on Thursday is $-0.12 per day. This means the stock this amount each day on average.

(Sorry if I'm too late.)

The typical change in the worth of the stock from the launch of the financial exchange on Tuesday and the end of the securities exchange on Thursday is $0.12 each day decreasing.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The cost per portion of stock when the financial exchange opened on Tuesday was $4.52. The cost per portion of stock when the financial exchange shut on Thursday was $4.16.

From Tuesday to Thursday, the total change in the value of the stock will be given as,

⇒ $4.16 - $4.52

⇒ - $0.36

The number of days from Tuesday and the close of the stock market on Thursday will be 3.

The average change in the value of the stock from the opening of the stock market on Tuesday and the close of the stock market on Thursday will be given as,

Average rate = - $0.36 / 3

Average rate = - $0.12

The typical change in the worth of the stock from the launch of the financial exchange on Tuesday and the end of the securities exchange on Thursday is $0.12 each day decreasing.

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Answer:

HERE

HOPE IT HELPS YOU!

Step-by-step explanation:

0.04 x _10^1____=0.4

__10^2__x0.006=0.6

0.007 x __10^3__=7

0.004 x_10^3___=4

___10^3__ x 0.006=6

0.07 x _10^1___= 7

The required values of the missing power of 10 in the exponential form are below :

a. 0.04 × 10¹ =0.4, and 10² × 0.006 = 0.6

b. 0.007 × 10³ = 7, and 0.004 × 10³ = 4

c. 10³ × 0.006 = 6, and 0.07 × 10¹ = 7

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable.

We have to determine the missing values in the given expression

⇒ 0.04 × 10¹ =0.4

⇒ 10² × 0.006 = 0.6

⇒ 0.007 × 10³ = 7

⇒ 0.004 × 10³ = 4

⇒ 10³ × 0.006 = 6

⇒ 0.07 × 10¹ = 7

Thus, the required values of the missing power of 10 in the exponential form are above in the solution.

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The shortest length of fence that the rancher can use is 6000 ft.

What is meant by length?

The measuring of one thing from finish to finish or on its longest aspect, or a measuring of a selected a part of one thing is known as length.

Main Body:

x = width of rectangle

y = length of rectangle

A = area of rectangle = xy = 1500000 ft^2

L = length of fencing needed = 2(x + y) + x = 3x + 2y

L = 3x + 2(1500000/x) = 3x + 3(10^6)x^(-1)

As x –> 0+, L –> +inf.

As x –> +inf, L –> (3x)+.

Sketch and see that there will be a minimum in Quadrant I.

dL/dx = 3 - 3(10^6)x^(-2)

Extrema occur when dL/dx = 0:

3 - 3(10^6)x^(-2) = 0

(10^6)x^(-2) = 1

x^2 = 10^6

x > 0, so x = 1000 feet for shortest length.

Hence,Shortest L = 3000 + 3(10^6)(10^3)^(-1) = 6000 feet.

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Let us consider the equation, 5x + 3 = -2.

Here, the solution is x = -1

Answer:

5x + 3 = -2

Hope you could understand.

If you have any query, feel free to ask.

A simple equation that has a solution of x = -1 is x - 1 = -2

The solution of the equation is given as:

x = -1

To determine a simple equation, whatever is done to the right-hand side of the equation must be done to the left-hand side.

Take for instance:

Subtract 1 from both sides

The equation becomes

x - 1 = -1 - 1

This gives

x - 1 = -2

Hence, a simple equation that has a solution of x = -1 is x - 1 = -2

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Step-by-step explanation:

Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the right angle), which is in our case here exactly the ladder itself.

ladder² = 26.3² + 8.4² = 691.69 + 70.56 = 762.25

ladder = 27.60887538... ft

do you need to round the result ? like round to up to the next whole number ? then the answer would be : the ladder needs to be 28 ft long.

Answer:

\( \frac{ - 8}{11} = \frac{12}{x} \\ cross \: multipliation \\ 12 \times 11 = - 8 \times x \\ x = \frac{12 \times 11}{ - 8} = \frac{3 \times 11}{ - 2} = \frac{33}{ - 2} = - 16.5\)

The vector equation for the line of intersection of the planes x+4y-4z=-3 and x + z = 5 is r = <5, -2, 0> + t <-1, 5/4, 1>

The equations of the planes are:

x + 4y - 4z = -3                    ..............(1)

and x + z = 5                      .............(2)

Subtract equation (2) from equation (1),

( x + 4y - 4z + 3) - (x + z - 5 ) = 0

4y - 5z + 8 = 0

we can rewrite is as,

4y = 5z - 8

y = 5/4 z - 8/4

y = 5/4 z - 2                  ...............(3)

Here, we don't have enough equations to uniquely solve for either y or z. So, we set z = t, where t can be any real number.

The variable t is the free parameter for the parametrization of the line.

Substitute z = t in equation (3) we get,

y = 5/4 t - 2        

From equation (2),

x = 5 - z

For z = t,

x = 5 - t

Thus, the parametrization of the line would be,

(x, y, z) = (5 - t, -2 + 5/4 t , t)

           = <5, -2, 0> + t<-1, 5/4, 1>

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The second player weighing 102kg and running at 5m/s has more momentum than the first player weighing 120kg and running at 4m/s.

Momentum is simply the product of the mass of an object and its velocity.

Its is expressed as;

P = mass × velocity

Given that;

Player 1

Player 2

First, calculate the momentum of the first player.

P = mass × velocity

P1 = 120kg × 4m/s

P1 = 480kgm/s

Momentum for player 2.

P = mass × velocity

P2 = 102kg × 5m/s

P2 = 510kgm/s

Therefore, player two has more momentum than player one.

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Answer:

20

Step-by-step explanation:

20 + (75% × 20) =

20 + 75% × 20 =

(1 + 75%) × 20 =

(100% + 75%) × 20 =

175% × 20 =

175 ÷ 100 × 20 =

175 × 20 ÷ 100 =

3,500 ÷ 100 =

35;

Answer:

55

Step-by-step explanation:

The rate of change is the difference in each hour, disregarding the 125 consultation fee. There is a $110 difference for each 2 hours which indicates the designer charges $55 an hour.

Hope I helped!

Answer:

82.5

Step-by-step explanation:

Answer: He run 7 high-speed intervals and 8 low-speed intervals.

Step-by-step explanation:

Let x = Number of high-speed intervals.

y= Number of low-speed intervals .

He runs high-speed intervals in 16 seconds, and low-speed intervals in 23 seconds, and he runs a combined total of 15 intervals in 4 minutes and 56 seconds.

4 min 56 sec = (4(60)+56) sec = 296  sec   [ 1 minute = 60 seconds]

According to the question , we have the following linear equations :

\(x+y=15\ ...(i)\\\\ 16x+23y=296\ ...(ii)\)

Multiply (i)by 16 , we get

\(16x+16y=240\ ...(iii)\)

Subtract (iii) from (ii)

\(7y=56\\\\\Rightarrow\ y=8\)

Put value of y in (i) , we get

\(x+8=15\Rightarrow\ x=7\)

Hence, he run 7 high-speed intervals and 8 low-speed intervals.

Answer:

DAY 2

Step-by-step explanation:

Diameter is 70m

Thus radius = half of diameter= 70/2 = 35meters

Angle of rotation (teta) = 280 degrees

The distance covered will be

The runner has traveled 171.06 meters

Answer:

17.15

Step-by-step explanation:

240÷30=8

8×30=240

30 height 8 with

The probability of landing heads exactly 11 times when a coin is tossed 20 times is option a) 0.1602

The repeated tossing of a coin follows a binomial distribution

P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ ⁻ ˣ⁾

where,

n = No. of times the experiment was repeated

x = random variable defining the number of "successes"

p = probability of "success"

Here

"succeess" is the event of landing a head.

n = 20

x = no. of times heads should show, i.e 11

p = probability of landing a head in a single toss

= 1/2

Hence, putting all this in the formula above we get

P(X = 11) = ²⁰C₁₁ 0.5¹¹ (1 - 0.5)⁽²⁰ ⁻ ¹¹⁾

= ²⁰C₁₁ 0.5¹¹ 0.5⁹

= ²⁰C₁₁ 0.5²⁰

= 20!/ 11! (20 - 11)! X 0.5²⁰

= a) 0.1602

Complete Question

An unbiased coin is tossed 20 times.

Find the probability that the coin lands heads exactly 11 times

a. 0.1602

b. 0.5731

c. 0.2941

d. 0.1527

e. 0.6374

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Answer:

C and D

Step-by-step explanation:

2x^2  + 7x + 6

(2x + 3)(x+2)

x = -3/2 = -1.5

x = -2

Answer:

Hunting

Step-by-step explanation:

Answer:

Hunting

Step-by-step explanation:

You can tell by the horse and the spear points!

Answer: 41666666669 / 50000000003

Step-by-step explanation:

Answer: it is c

Step-by-step explanation:

cause i did this befoore