PLEASE ANSWER QUICK!!!!! 25 POINTS
Find the probability of exactly one successes in five trials of a binomial experiment in which the probability of success is 5%
round to the nearest tenth

The height of the seedling 4 days after it is planted is approximately 3.51 cm.

To find the height of the seedling 4 days after it is planted, we need to calculate the compound growth using the average daily growth rate of 4%.

Let's denote the initial height of the seedling as H₀, which is 3 cm. After one day, the height of the seedling will increase by 4% of its current height:

H₁ = H₀ + (4/100) * H₀

After two days, the height will increase by another 4%:

H₂ = H₁ + (4/100) * H₁

Similarly, after three days:

H₃ = H₂ + (4/100) * H₂

And after four days:

H₄ = H₃ + (4/100) * H₃

To simplify the calculations, we can use the following formula for compound interest:

H = H₀ * (1 + r/100)^n

Where H is the final height, r is the growth rate per period (4%), and n is the number of periods (4 days).

Plugging in the values:

H₄ = 3 * (1 + 4/100)^4

H₄ ≈ 3 * (1.04)^4

H₄ ≈ 3 * 1.16985856

H₄ ≈ 3.50957568 cm

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The male long jumper's jump, which ranked in the 75th percentile, was approximately 272.436 inches long.

To find the length of the male long jumper's jump at the 75th percentile, we can use the concept of z-scores and the standard normal distribution.

The 75th percentile corresponds to a z-score of 0.674. Using this z-score, we can calculate the distance of the jump by multiplying it by the standard deviation and adding it to the mean:

Distance = (z-score * standard deviation) + mean

Distance = (0.674 * 14) + 263

Distance ≈ 9.436 + 263

Distance ≈ 272.436

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The results show a different pattern than for the contiguous states

a. To create a new Season variable with values "Winter," "Spring," "Summer," and "Fall," we need to use the MONTH function in Excel to extract the month from the date, and then use a series of IF statements to assign each month to its corresponding season. Here are the formulas to use:

For the Heating Degree Days sheet:

=IF(OR(MONTH(A2)=12,MONTH(A2)=1,MONTH(A2)=2),"Winter",IF(OR(MONTH(A2)=3,MONTH(A2)=4,MONTH(A2)=5),"Spring",IF(OR(MONTH(A2)=6,MONTH(A2)=7,MONTH(A2)=8),"Summer",IF(OR(MONTH(A2)=9,MONTH(A2)=10,MONTH(A2)=11),"Fall",""))))

For the Cooling Degree Days sheet:

=IF(OR(MONTH(A2)=12,MONTH(A2)=1,MONTH(A2)=2),"Winter",IF(OR(MONTH(A2)=3,MONTH(A2)=4,MONTH(A2)=5),"Spring",IF(OR(MONTH(A2)=6,MONTH(A2)=7,MONTH(A2)=8),"Summer",IF(OR(MONTH(A2)=9,MONTH(A2)=10,MONTH(A2)=11),"Fall",""))))

b. To find the mean, median, and standard deviation of Heating Degree Days (HDD), broken down by season, for the 48 contiguous states location (code 5999), we need to use StatTools. Here are the steps:

Open the StatTools Descriptive Statistics dialog box by clicking on the Descriptive Statistics button on the StatTools toolbar.

In the Input Range field, select the range of HDD values for location 5999 (excluding the first and last rows that contain missing values).

In the Group By field, select the Season variable we created in part a.

Check the Mean, Median, and Standard Deviation checkboxes under Statistics.

Click OK to generate the results.

To create side-by-side box plots of HDD, broken down by season, we can use the Box Plot dialog box in StatTools:

Click on the Box Plot button on the StatTools toolbar to open the Box Plot dialog box.

In the Input Range field, select the range of HDD values for location 5999 (excluding the first and last rows that contain missing values).

In the Group By field, select the Season variable we created in part a.

Check the Side-by-Side box to create a side-by-side box plot.

Click OK to generate the plot.

Comment on the results:

The mean and median HDD values are highest in Winter and lowest in Summer, which is what we would expect. The standard deviation is also highest in Winter, indicating greater variability in heating needs during that season. The box plots confirm these findings, with Winter showing the greatest spread of values and a higher median than the other seasons. Summer has the narrowest spread of values and the lowest median.

c. To repeat part b for California (code 0499), we simply need to change the location code in the formulas and dialog boxes:

In the formulas for the Season variable, replace "A2" with the appropriate cell reference for the date column in the California sheet.

In the StatTools dialogs, select the range of HDD values and the Season variable for location 0499 instead of 5999.

The results show a different pattern than for the contiguous states. HDD values in California are highest in Winter and Spring, and lowest in Fall and Summer. This is likely due to the mild climate in California

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest.

There are several kinds of mean in mathematics, especially in statistics. Each mean serves to summarize a given group of data, often to better understand the overall value of a given data set. Pythagorean means consist of arithmetic mean, geometric mean, and harmonic mean.

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Answer:

$22

Step-by-step explanation:

If Jasmine saved 110 during week 2, and this was 5 times more than in week 1, then in week 1 she saved 110/5 = 22 ($)

Answer:

1=B

Step-by-step explanation:

This is the Taylor series expansion for the function f(x) = x⁴ - 6x² + 1 centered at a = 2.

What is Taylor Series?

In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the derivative of the function at a single point. For most common functions, the function and the sum of its Taylor series near this point are the same.

To find the Taylor series for the function f(x) = x⁴ - 6x² + 1 centered at a = 2, we can use the formula for the Taylor series expansion:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

First, let's find the values of f(a) and its derivatives at x = a = 2:

f(2) = (2)⁴ - 6(2)² + 1 = 16 - 24 + 1 = -7

f'(x) = 4x³ - 12x

f'(2) = 4(2)³ - 12(2) = 32 - 24 = 8

f''(x) = 12x² - 12

f''(2) = 12(2)² - 12 = 48 - 12 = 36

f'''(x) = 24x

f'''(2) = 24(2) = 48

Now, we can substitute these values into the Taylor series formula:

f(x) = f(a) + f'(a)(x - a)/1! + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

f(x) = -7 + 8(x - 2)/1! + 36(x - 2)²/2! + 48(x - 2)³/3! + ...

Simplifying the terms:

f(x) = -7 + 8(x - 2) + 18(x - 2)² + 8(x - 2)³ + ...

This is the Taylor series expansion for the function f(x) = x⁴ - 6x² + 1 centered at a = 2.

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Step-by-step explanation:

This is a polynomial so we can use rational roots Theorem to solve the equation.

The rational roots simply states that the roots of a polynomial, in the form of

\(p{x}^{n} + ax {}^{n - 1} + bx {}^{n - 2} .....r {}^{0} \)

The possible roots of the polynomial are the factors of

p/r.

We say r^0 to represent the constant and p to represent the leading coeffceint.

So the rational roots states the possible roots of a polynomial is

the factors of leading coeffceint/ the factors of the constant.

In this case, the polynomial leading coeffecient is 3 and its constant is 6 so we do the factors of 3 divided by the factors of 6.

The factors of 3, are plus or minus 1 and 3. divided by factors of 6 which are plus or minus 1,2,3,6. So our possible roots are

positive or negative (1,1/2, 1/3,1/6, 3, 3/2).

Now, we see which of the following roots will that the polynomial, P will equal zero.

It seems that -1 can work so by definition, (x+1) is the a factor of the polynomial. So now we use synetheic or long division to cancel out that factor.

So our factored version of the polynomial is

\((x + 1)(3x {}^{3} - 14 {x}^{2} + 13x + 6)\)

Now can we continue and factor the right side of the factors.

3 also works so x-3 is a factor as well so

\((3 {x}^{2} - 5x - 2)(x + 1)(x - 3)\)

Now factor the quadratic using factoring by grouping

\(3 {x}^{2} - 5x - 2 = 3 {x}^{2} - 6x + x - 2 = 3x(x - 2) + 1(x - 2) \)

So our factor are

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

So in conclusion our factors are

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

And our x values are -1/3, 2, -1, and 3.

Answer:

Its D

Step-by-step explanation:

its says that H=I but I equals 90 and H=O (as in the angle) its actually hard to explain sorry. i hope i am correct

Answer:

Step-by-step explanation:

a. 2a(3+7a)

b.2x(x^3+x^4+x^9)

c.3z(z-5)

d i cant see

Answer:

1) 6a + 14a^2

2a(3+7a)

2) 2x^4 + 2x^5 + 2x^10

2x^4(1 + x + x^6)

3) 6z^2 - 15z

3z(2z - 5)

4) 42w^3 - 14w + 77w^2

42w^3 + 77 w^2 - 14 w

7w(6w^2 + 11w - 2)

Step-by-step explanation:

Answer:

pretty sure 60, 5 x 12

Step-by-step explanation:

just do 5 x 12 if there's 12 tiles and their measurement is 5 inches each

The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

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The service life that appear to be out of control is 0.0456 as per the given sample service life.

The sample standard deviation is the root-mean square of the discrepancies between observations and the sample mean: A large divergence is defined as two or more standard deviations from the mean.

The sample standard deviation (s) is the square root of the sample variance and a measure of the deviation from expected values.

It is given that,

Rationale:

UCL=520

LCL=480

Mean \(\bar{x}\)=500

The standard deviation of sample(\(S_{n}\))=11.55

Z(for UCL)=(UCL-Mean)/\(S_{n}\)

=(520-500)/10

=2

Similarly, Z(for LCL)=(LCL-Mean)/\(S_{n}\)

==(480=500)/10

=-2

Now, by using the z table for finding the confidence level between the Z value of -2 and 2.

Therefore, confidence level=0.4772+0.4772

=0.9544

Risk(alpha)=1-confidence level

=1-0.9544

=0.0456

The service life that appear to be out of control is 0.0456 as per the given sample service life.

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Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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Answer:

D

Step-by-step explanation:

60 x 1.6 = 96 kilometers

Answer:

Condition:

If a series converges, then the terms of the series approach 0.

Converse:

If the terms of a series approach 0, then the series converges.

Statements i. and ii. are true while statement iii. is incorrect because, in an experiment, the control group is usually selected and assigned by the researchers, not self-selected by the participants.

i. True. In an experiment, the researchers have control over how participants are placed into different groups, usually through random assignment.

ii. True. In an observational study, participants are usually not manipulated by the researchers and are free to choose which group they belong to.

iii. False. A control group in an experiment is usually not self-selected. The control group is typically determined by the researchers through random assignment. The purpose of the control group is to provide a comparison to the experimental group in order to determine if the treatment has a significant effect.

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\(A^{(-1)\) exists and is unique, x is also unique. Therefore, the equation ax=b has a unique solution.

a collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics.

True.

Since the matrix A is invertible, it has a unique inverse denoted by \(A^{(-1)}\). Therefore, we can solve the equation ax=b as follows:

\(ax = b\)

\(A^{(-1)} ax = A^{(-1)} b\\Ix = A^{(-1)} b\\x = A^{(-1)} b\)

∵ x is unique.

As a result, there is only one solution to the equation ax=b.

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Answer:  99-99=0

Step-by-step explanation:

   432,234   432-234=  

   198,891   891-198 =693

   693,396   693-396 =297

   297,792   792-297= 495

   495,594   594-495=99

   99-99=0

Its linear speed would be 1637.75  miles/hour

Vt =  435,49 Km/min

Vt  =  26129 Km/hour

Vt = 16630, 35  miles/hour

The distance from the earth center up to the satellite position is:

Earth radius  + distance above the earth  

radius of satellite  6400 + 1250   =  7650 Km

linear speed = Vt  = 2π*r/T

where

r is the radius of the satellite and T period  =  110 min

Then

Vt  =  6,28* 7650 / 110

Vt = 4804/110

Vt  =  43,674.54 Km/min

To get it in Km/h we must multiply by 60

Vt  =  26204m/hour

And finally, to get it in miles per hour we divide it by 16

Vt = 1637.75  miles/hour

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Answer: Plan A

Step-by-step explanation:

If you choose plan B, then it will take 12 weeks to pay it off but plan A will take 11 weeks.

Hopefully, this helps.

By completing the square, we obtain the quadratic expression (x - 2)^2 + 0, revealing the vertex as (2, 0), providing valuable information about the parabola.

Factoring and completing the square are related, but they are not exactly the same process. In factoring, we aim to express a quadratic expression as a product of two binomials. Completing the square, on the other hand, is a technique used to rewrite a quadratic expression in a specific form that allows us to easily identify key properties of the equation.

Let's go through the steps to complete the square for the given quadratic expression,\(5x^2 - 20x + 20:\)

1. Divide the entire expression by the coefficient of x^2 to make the coefficient 1:

 \(x^2 - 4x + 4\)

2. Take half of the coefficient of x (-4) and square it:

\((-4/2)^2 = 4\)

3. Add and subtract the value from step 2 inside the parentheses:

 \(x^2 - 4x + 4 + 20 - 20\)

4. Factor the first three terms inside the parentheses as a perfect square:

  \((x - 2)^2 + 20 - 20\)

5. Simplify the constants:

\((x - 2)^2 + 0\)

The completed square form of the quadratic expression is\((x - 2)^2 + 0.\)This form allows us to identify the vertex of the parabola, which is (2, 0), and determine other important properties such as the axis of symmetry and the minimum value of the quadratic function.

So, while factoring and completing the square are related processes, completing the square focuses specifically on rewriting the quadratic expression in a form that reveals important properties of the equation.

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What is Null hypothesis?

The null hypothesis assumes that any difference between the selected attributes in a set of data is attributable to chance. For example, if the predicted earnings for the gambling game are genuinely zero, then any discrepancy between the data's average earnings and zero is due to chance.

(a) The appropriate null and alternative hypotheses for this setting are:

Null hypothesis: The actual mean systolic pressure (μ) of the individual is not greater than 130 (μ ≤ 130).

Alternative hypothesis: The actual mean systolic pressure (μ) of the individual is greater than 130 (μ > 130).

(b) Type I error occurs when the null hypothesis is rejected when it is actually true. In this case, it means that the device recommends that the person seeks medical attention when they do not actually need it. The consequence of this error is that the person may undergo unnecessary medical tests or treatments, which can be costly, time-consuming, and can cause anxiety or other negative effects.

Type II error occurs when the null hypothesis is not rejected when it is actually false. In this case, it means that the device does not recommend medical attention when the person actually needs it. The consequence of this error is that the person may not receive the necessary medical attention and treatment, which can lead to serious health problems, including organ damage or failure, stroke, or heart attack.

(c) In this scenario, the cost of making a Type II error is likely to be much higher than the cost of making a Type I error. The reason is that failing to detect high blood pressure in a person can have serious health consequences. Therefore, it is better to make the Type I error probability smaller and the Type II error probability larger. This means that the device should be adjusted to have a higher threshold for recommending medical attention, which would decrease the likelihood of a false alarm, even if it increases the likelihood of missing some cases where medical attention is needed.

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The initial assertion that forms the null hypothesis frequently rests on research from the past or expert knowledge. According to the alternative hypothesis, a population parameter is either less, larger, or different from the value predicted by the null hypothesis.

A type I error (false-positive) occurs when a researcher rejects a null hypothesis that is actually true in the population; if the researcher does not do this When a null hypothesis is rejected even when it is false in the population, this is known as a type II error (false-negative).

Parameter Hypothesis testing is a second sort of statistical inference.

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Answer: All in images

Step-by-step explanation:

The solution to the system of equation graphed is (-1, -3)

Given the system of equations graphed on the plane expressed as:

f(x) = 3x

g(x) = 4x + 1

Equate

f(x) = g(x)

3x = 4x + 1

3x - 4x = 1

-x = 1

x = -1

Determine the value of y

y = 3x

y = 3(-1)

y = -3

Hence the solution to the system of equation graphed is (-1, -3)

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I hope this help you

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

From the inequality graph, the solution to the inequalities is: (4, -2/3)

There are different tyes of inequalities such as:

Greater than

Less than

Greater than or equal to

Less than or equal to

Now, the inequalities are given as:

y < (1/3)x - 2

x < 4

Thus, the solution to the given inequalities will be gotten by plotting a graph of both and the point of intersection will be the soilution which in the attached graph we see it as (4, -2/3)

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Answer:

383ft

Step-by-step explanation:

Given parameters:

  Elevation = 240ft at the start

  Elevation at the end = -143ft

Unknown:

Change in elevation:

Solution:

The change in elevation is the difference between the two hiking milestone;

  change in elevation = Elevation at the start  - Elevation at the end

                                    = 240ft  - (-)143ft

                                   = 240 + 143

                                    = 383ft