Please help need to finish in an hour!

Answer: √5-2.

Step-by-step explanation:

\(\sqrt{9-4\sqrt{5} }=\\\\ \sqrt{5+4-2*2*\sqrt{5} } =\\\\\sqrt{(\sqrt{5})^2-2*\sqrt{5}*2+2^2 } =\\\\\sqrt{(\sqrt{5}-2)^2} =\\\\|\sqrt{5} -2|=\\\\\sqrt{5} -2\)

A. 7658.8 hr/year

B. 4.082 hr/year

C. 99206 kwh

Moreover, The annual average wind speed was calculated directly at 4.56 m/s. Using the Weibull distribution, the annual wind speed is 4.55 m/s, while using the Rayleigh distribution it is 4.523 m/s. The annual wind power density was directly calculated to be 114.54 W/m2.

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Answer:

42000*1.04^(n-1)

Step-by-step explanation:

4% is equal to 0.04, a raise is 1+0.04=1.04

1.04 is now the number we are multiplying by to get a new yearly salary for Harmony.

42000*1.04^(n-1) since n is how many years after she has the job you have to raise it to the power and subtract one.

Answer:

they are not equivalent

Step-by-step explanation:

Answer:

Not Equivalent

Step-by-step explanation:

The numbers have a different in value.

1/2 is equivalent to 2/4.

2/4 is half of 4/4 or 1.

3/4 is 3 quarters not 1/2.

The sample proportion is 0.54 (54%).

The hypotheses for the one-proportion z-test are:
Null hypothesis (H0): The proportion of Generation Y Web users who use the Internet to download music is less than or equal to 0.5 (50%).
Alternative hypothesis (Ha): The proportion of Generation Y Web users who use the Internet to download music is greater than 0.5 (50%).

At  1% significance level, you would then perform the one-proportion z-test to determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.

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Using the given ANOVA table, the treatment SS value is calculated. That is the amount of the squared sum of treatments of fertilizer is 1500.2. So option a is correct.

The ANOVA table is a statistical tool used to display how the sum of squares is spread according to variation.

Given that the number of treatments of fertilizer brands is 3 and the total number of observations/tree samples is 68. To calculate the treatment SS, we have to calculate the total SS and error SS.

First, let's calculate the degree of freedom for error, treatment, and total,

\(\begin{aligned}\text{treatment df}&=\text{number of fertilizer brands - 1}\\&=3-2\\&=2\\\text{total df}&=\text{number of trees - 1}\\&=68-1\\&=67\\\text{error df}&=\text{total df - treatment df}\\&=67-2\\&=65\end{aligned}\)

Then, the MS error is calculated as follows,

\(\begin{aligned}\text{MS error}&=\frac{\text{Error SS}}{\text{Error df}}\\33.4247&=\frac{\text{Error SS}}{65}\\\text{Error SS}&=65\times 33.4247\\&=2172.6055\end{aligned}\)

Now, the amount squared sum of treatments (Treatment SS) is given by,

\(\begin{aligned}\text{Treatment SS}&=\text{Total SS - Error SS}\\&=3672.8-2172.6055\\&=1500.2\end{aligned}\)

The required option is option a.

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The complete question is -

Three different brands of fertilizer used in the orange orchards are believed to deliver the same results. A farmer is skeptical about this and runs a test to prove crop amounts differ for different brands. In a specific plant, three samples of orange trees (a total of 68 trees) are treated with different brands. The following table is the partial ANOVA output.

\(F_{2,65,0.025}=3.906\), \(F_{2,65,0.05}=3.138\),  \(F_{65,2,0.025}=39.482\), \(F_{65,2,0.05}=19.48\)

What is the amount of the squared sum of treatments? Select one:

a. 1500.2

b. 2172.6

c. 750.1

d. 22.44

e. 3672.8

Answer:

31.42 cm

Step-by-step explanation:

Circumference of a circle = C = 2πr

r = D/2 = 10cm/2 = 5 cm

C = 2π5 = 31.42 cm

Answer:

Length = 36 ft

Step-by-step explanation:

We are told the width of the field is 12 ft shorter than the length.

This means that;

Width = Length - 12

Let's denote width by W and length by L.

Thus;

W = L - 12

Now,we are told the perimeter is 120 ft.

Formula for perimeter of rectangle is;

2(Length + Width)

Thus;

2(L + W) = 120

Putting in L - 12 for W gives;

2(L + L - 12) = 120

Divide both sides by 2 to give;

L + L - 12 = 120/2

2L - 12 = 60

2L = 60 + 12

2L = 72

L = 72/2

L = 36 ft

Answer:

domain[-infinity, infinity]

range[2, infinity]

Answer:

The new length of the tear is 2.3 * 10^-2 inch

Step-by-step explanation:

Here, we are concerned with knowing the new length of the tear.

Originally, the length of the tear is 2.3 * 10^-4 inch.

But this tear became 100 times longer. The new length of the tear will be the old length * 100

Mathematically, that would be 2.3 * 10^-4 inch * 100

= 2.3 * 10^-4 * 10^2

= 2.3 * 10^(-4 + 2)

= 2.3 * 10^-2 inch

Answer:

x = abc/  (a+b)

Step-by-step explanation:

x/a + x/b = c

Multiply by ab to get rid of the fractions

ab(x/a + x/b) = abc

bx + ax = abc

Factor out an x

x( b+a) = abc

Divide each side by (a+b)

x ( a+b)/ (a+b) = abc/  (a+b)

x = abc/  (a+b)

Answer:

\(x=\frac{abc}{b+a}\)

Step-by-step explanation:

So we have:

\(\frac{x}{a}+\frac{x}{b}=c\)

And we want to solve for x.

To do so, let's remove the fractions. We can multiply both sides by the LCM of a and b, which is ab. So:

\((ab)\frac{x}{a}+\frac{x}{b}=c(ab)\)

On the left, distribute. On the right, multiply:

\(\frac{x(ab)}{a}+\frac{x(ab)}{b}=abc\)

Simplify:

\(xb+xa=abc\)

Now, factor out an x on the left:

\(x(b+a)=abc\)

Divide both sides by (b+a):

\(x=\frac{abc}{b+a}\)

And we're done!

g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

The "g value" or "g-force" is a measure of the acceleration or deceleration experienced by an object. It is defined as the ratio of the acceleration of the object to the acceleration due to Earth's gravity, which is approximately 9.8 m/s^2.

To calculate the g value of an object, you can use the following formula:

g value = acceleration of the object / acceleration due to gravity

For example, if an object experiences an acceleration of 19.6 m/s^2, the g value can be calculated as follows:

g value = 19.6 m/s^2 / 9.8 m/s^2 = 2 g

This means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

It's important to note that the g value is a unitless quantity, so the units of the acceleration of the object and the acceleration due to gravity must be the same in order to obtain a correct result.

Therefore,  g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

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The value of x from the figure shown is 2.19

According to the Pythagoras theorem, the square of the hypotenuse is equivalent to the sum of the square of other two sides.

From the given diagram, the expression below is true;

6^2 = 3^2 + (3+x)^2

Determine the value of x

36 = 9 + (9+6x + x^2)

36 = 18 +6x+x^2

x^2 + 6x - 18 = 0

On factorizing, the value of x is expressed as;

x = -3 + 3√3
x = -3 + 3(1.732)

x = 2.19

Hence the value of x from the figure shown is 2.19

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Answer: -449/50

Step-by-step explanation:

-9.98

1) Put in fraction form.

-998/100

2) Simplify.

-449/50

Answer:

-9.98/1

Step-by-step explanation:

Answer:

201.42

Step-by-step explanation:

167.85 + 33.57 = 201.42

20% = 33.57

Im sorry i think i read it wrong

Step-by-step explanation:

I got an answer for some other question

Answer:

The answer is C 33.75 inches

Step-by-step explanation:

look at the explanation photo

Given:

The table of value of a linear function.

To find:

The linear function in slope intercept form.

Solution:

Slope intercept form:

\(y=mx+b\)

Where, m is slope and b is y-intercept.

Consider any two points from the given table.

It is clear that the linear function passes through the points (1,0) and (2,5). So, the equation of the linear function is

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

\(y-0=\dfrac{5-0}{2-1}(x-1)\)

\(y=\dfrac{5}{1}(x-1)\)

\(y=5(x-1)\)

Using distributive property, we get

\(y=5(x)+5(-1)\)

\(y=5x-5\)

Therefore, the slope intercept form of the given linear function is \(y=5x-5\).

Total distance traveled during these 6 seconds = 80 feets

Given the data in the question-

Time (sec)        Velocity (ft/sec)

0                       13

1                        23

3                       24

4                       15  

5                        4

6                       10                          

Since the distance traveled is shown by.

Distance = Velocity x Time

And since the time interval in the question is given = 1 sec between any two breaks,

By the principle of left-end approximation -

According to the left-end approximation, the velocity given at each equal interval is determined by the function value at the left of each subinterval.

(0,1) ---------------- f (0) = 13

(1,2) ---------------- f (1) = 23

(2,3) --------------- f (2) = 24

(3,4) --------------- f (3) = 15

(4,5) --------------- f (4) = 4

(5,6) --------------- f (5) = 1

Now if we observe the time break between two-time intervals = 1 sec

The expression will be derived as -

= (13 x 1) + (23 x 1) + (24 x 1) + (15 x 1) + (4 x 1) + (1 x 1)

= 13 + 23 + 24 + 15 + 4 + 1

= 80 feets

Therefore, the total distance traveled during these 6 seconds = 80 feets

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Answer:

an apple costs 0.24 and a pear costs 0.28

Step-by-step explanation:

      3a + 4p = 1.84                                 3a + 4p = 1.84

     -5a + 2p = 1.76   m(-2)                 -10a - 4p = -3.52

        3a + 4p = 1.84

 +   -10a - 4p = -3.52

       -7a          = -1.68

           a         = -1.68/-7

           a        =  0.24

       3a + 4p = 1.84

       3(0.24) + 4p = 1.84

       0.72  + 4p = 1.84

                   4p = 1.84 - 0.72

                    4p = 1.12

                      p = 0.28

The cost of an apple is £0.24 and the cost of pear is £0.28

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let a represent the cost of one apple and p represent the cost of one pear.

Then the system of equation will be;

     3a + 4p = 1.84                                

    -5a + 2p = 1.76   m(-2)                

-10a - 4p = -3.52

Solving both the equation;

-7a   = -1.68

a   = -1.68/-7

a   =  0.24

For solving p;

3a + 4p = 1.84

3(0.24) + 4p = 1.84

0.72  + 4p = 1.84

4p = 1.84 - 0.72

4p = 1.12

p = 0.28

Hence, the cost of an apple is £0.24 and the cost of pear is £0.28

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Answer:

AM=M-A

-3 -1. -2

2 -. -3. = 5

-3. -2. -5

2. +. 5. =. 7

Answer:

a) a is positive and b is negative

b) a = 3, b = -15.

Step-by-step explanation:

Inequalities and Equations:

We are given:

ab = -45

a > b

a) We don't know the values of a and b, but since their product is negative, there can be only two situations:

a is negative and b is positive

a is positive and b is negative

The condition a > b rules out the first situation, thus we are sure

a is positive and b is negative

b) Since a + b = -12 we can find the values of a and b. It can be done by solving a quadratic equation but we'll do it mentally.

We have to find two numbers whose sum is -12 and product is -45. It's not so hard to find the numbers are -15 and 3. Since a is positive and b is negative, the solution is

a = 3

b = -15

To calculate the mean absolute deviation (MAD) of the test scores for this sample, follow these steps:

Find the mean (average) of the test scores:

Mean = (95 + 65 + 70 + 70 + 85 + 90 + 100 + 40 + 75 + 80) / 10

= 750 / 10

= 75

Find the absolute deviation for each test score by subtracting the mean from each score and taking the absolute value:

Absolute Deviation = |Score - Mean|

Absolute Deviation for each score:

|95 - 75| = 20

|65 - 75| = 10

|70 - 75| = 5

|70 - 75| = 5

|85 - 75| = 10

|90 - 75| = 15

|100 - 75| = 25

|40 - 75| = 35

|75 - 75| = 0

|80 - 75| = 5

Calculate the sum of the absolute deviations:

Sum of Absolute Deviations = 20 + 10 + 5 + 5 + 10 + 15 + 25 + 35 + 0 + 5

= 130

Find the MAD by dividing the sum of the absolute deviations by the number of scores (10 in this case):

MAD = Sum of Absolute Deviations / Number of Scores

= 130 / 10

= 13

Therefore, the mean absolute deviation (MAD) of the test scores for this sample is 13.

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The within-group estimate of variance is the estimate of the variance of the population of individuals based on the variation among the scores in each of the actual groups studied.

The within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Scores in each of the actual groups studied.
This estimate represents the variation within each group and helps in understanding the population's variance by looking at individual differences within the groups.

The estimated within-group variance is the sum of the within-group variances for each group in the model. Effectively, this is the sum of the variance of each value (j) from its group (i) divided by the sample size minus one.

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The minim she can get for a score is a 90%

Answer:

A. ( 2 , 0 )

Step-by-step explanation:

\(5x - 8y = 1\)

Let y = 0

\(5x-8(0) =10\)

Multiply ; 8×0=0

\(5x-0=10\)

Collect like terms and simplify

\(5x =10+0\\\\5x =10\)

Divide both sides of the equation by 5

\(\frac{5x}{5}= \frac{10}{5}\)

Simplify

\(x =2\\\\(2,0)\)

Answer:

Yes the answer is A. I just did this.

Step-by-step explanation:

A stem-and-leaf diagram separates each value of a data set into two parts: the stem and the leaf.

The stem is the first part of the number, typically the largest place value, and it is used to group similar values together. The leaves are the last part of the number, typically the smallest place value, and they provide the specific values within each group.

For example, consider a data set with the values 15, 19, 10, 11, 15. In a stem-and-leaf diagram, the stem for these values would be 1 and the leaves would be 5, 9, 0, 1, and 5, respectively.

The stem-and-leaf diagram would then look something like this:

This format allows for a quick visualization of the distribution of the data and can be useful for identifying patterns and relationships within the data set.

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As per the combination method, there are 1260 ways in which a team of 10 students with 6 boys and 4 girls can be formed from a middle school classroom containing 15 students with 9 boys.

To solve this problem, we need to use the concept of combinations. A combination is a way of selecting items from a larger group where the order of selection does not matter. In this problem, we are selecting a team of 10 students, and the order in which we select the students does not matter.

Using this formula, we can find the number of ways to select 6 boys from a group of 9 as:

⁹C₆ = 9! / (6! x (9-6)!) = 84

Similarly, the number of ways to select 4 girls from a group of 6 is:

⁶C₄ = 6! / (4! x (6-4)!) = 15

To find the total number of ways to form a team of 10 students with 6 boys and 4 girls, we need to multiply the number of ways to select 6 boys and 4 girls. This is because the selection of boys and girls is independent of each other, and we can choose them in any order.

Therefore, the total number of ways to form a team of 10 students with 6 boys and 4 girls is:

84 x 15 = 1260

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