2. The Linton family has a circular swimming pool. The radius of the pool is 15 feet_
circumference of the pool? Use 3.17 for

Answer:

x = 12

Step-by-step explanation:

6x + 1 = 8x - 23

1 = 2x - 23

24 = 2x

x = 12

Answer:

x=12

Step-by-step explanation:

6x+1=8x-23

First, you subtract 6x from both sides to get

1= 2x-23

Then you subtract 1 from both sides to get

2x-24=0

Add 24 to both side, then divide by two to get

x=12

Answer:

yes

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

When working with order of operations, use the acronym 'PEMDAS' (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

The equation should basically be done in that order.

There are no parenthesis,

no exponents,

But there IS multiplication.

1 x 10 = 10.

So now, what is left over is 10 - 3.

There addition, but there IS subtraction.

10 - 3 = 7.

7 is what is left over.

Therefore, 1 x 10 - 3 in standard form is 7.

In the given situation (D) randomized block design was used to experiment with incorporating randomization into this study.

An experimental design known as a randomized block design divides the experimental units into units known as blocks.

The experimental units inside each block are assigned the treatments at random.

We have a fully randomized block design when each block has at least one instance of each treatment.

By ensuring that a crucial predictor of the outcome is fairly distributed amongst research groups to require them to be balanced, something that a completely randomized design cannot guarantee, a randomized block design differs from a completely randomized design.

Therefore, in the given situation (D) randomized block design was used to experiment with incorporating randomization into this study.

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Complete question:

R.A. Fisher, a famous statistician, describes a well-known design in his book, Design of Experiments. Five varieties of wheat were compared to determine which gave the highest yield in bushels per acre. Eight farms were available for planting. Each farm was divided into five plots. For each farm, the five varieties were randomly assigned to the five plots with one variety per plot. The varieties were planted on their assigned plots and their yields were measured and compared.

How was randomization incorporated into this study?

A. All five varieties were randomly assigned to the five plots at each farm.

B. The five varieties were randomly assigned to the eight farms - three varieties were planted twice and two varieties only once.

C. It was not incorporated. The wheat seeds were not randomly selected from the population of wheat seeds.

D. Experiment - randomized block design

Answer:a

Step-by-step explanation:

Bsnanna

If the points (1,3), (2, 1), (3,-1). (4.-3) lie on line k, then the slope of line k is -2

Option D is the correct choice

The points that lie on the line k are:

(1,3), (2, 1), (3,-1). (4.-3), and (5,-5).

We can find the slope of the line k by picking any two points on the line

The slope m of a line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

On the line k, let us select the points (1,3) and (2, 1)

x₁ = 1, y₁ = 3, x₂ = 2, y₂ = 1

\(m = \frac{1-3}{2-1} \\\\m= \frac{-2}{1}\\\\m= -2\)

Therefore, the slope of the line k is -2

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Responda:

a) 3 e 4

Explicação passo a passo:

Deixei :

Número de cães = x

Número de gatos = y

2x + 3y = 17 - - - - (1)

x - y = 1 - - - - (2)

De (2)

x = 1 + y

Coloque em (1)

2 (1 + y) + 3y = 17

2 + 2y + 3y = 17

2 + 5y = 17

5y = 17 - 2

5y = 15

y = 15/5

y = 3

x = 1 + y

x = 1 + 3

x = 4

Número de cães = x = 4

Número de gatos = y = 3

Standard error of the mean is 0.05267 in (a). The actual mean degradation rate has a 90% probability of being between 0.978 and 1.174 micromoles/minute/gram, according to (b).

The group mean's likelihood to vary from a sampling distribution is indicated by the standard deviation of a mean, or merely standard error. It reveals how much is the sample imply would change if a research were to be repeated with fresh samples drawn from a particular population.

(a)

Sample size, n = 9

Sample standard deviation, S = 0.158

Standard error of the mean,

\(\sigma_{\bar{x}}=\frac{S}{\sqrt{n}}=\frac{0.158}{\sqrt{9}}=0.05267\)

(b)

Since we do not know the distribution of the parent population or the population standard deviation, and further the sample size, n = 8 < 30,

Therefore we will use the t-distribution to construct the confidence interval for the true population mean α

Sample size, n = 9

Sample mean, r  = 1.076

Sample standard deviation, S = 0.158

Standard error of the mean,

\(\sigma_{\bar{x}}=\frac{S}{\sqrt{n}}=\frac{0.158}{\sqrt{9}}=0.05267\)

Level of confidence, c (in percentage) = 90

α = (1-(c/100) = 0.1

Degrees of freedom, df = n-1 = 9 - 1 = 8

The critical t-score, \(\mathrm{t}_{\mathrm{c}}\) is the

t-score corresponds to the given level of confidence and degrees of freedom :

\(\begin{aligned}& P\left(x > t_{d f}\right)=\Rightarrow / 2 \\& \Rightarrow \\& P\left(x > t_8\right)=0.1 / 2=0.05 \\& \Rightarrow t_c=1.86\end{aligned}\)

The confidence interval is calculated as:

\(\mathrm{Cl}=\bar{x} \pm\left(\mathrm{t}_{\mathrm{c}}\right)^*\left(\sigma_{\bar{x}}\right)\)

= 1.076 ± (1.86)*(0.05267)

= 1.076±  0.098

= (1.076 - 0.098, 1.076 + 0.098)

= (0.978, 1.174)

The actual mean degradation rate has a 90% probability of being between 0.978 and 1.174 micromoles/minute/gram, according to this information.

The mean degradation rate must be higher than 1 for the process to be cost-effective.

However, because the 90% confidence interval does not completely fall above 1, the experts cannot be certain that the process will be cost-effective.

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Answer:

90 minutes

Step-by-step explanation:

it will take twice as long therefore 90 minutes

Answer:

400

Step-by-step explanation:

2500=x+(x+500)+(3x)

2500=5x+500

2500-500=5x

2000=5x

x=400

140000

just multiply 7 and 2 then add the number of 0s

Using the z-distribution, it is found that the p-value is of 0.03.

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

\(H_0: p = 0.5\)

At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

\(H_a: p \neq 0.5\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

For this problem, the parameters are: \(p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}\)

\(z = -2.12\)

The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.

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Answer:

100

Step-by-step explanation:

Hello,

We are looking for the surrounding perfect squares.

\(\sqrt{8000}=89.44272...\)

so

\(7921=89^2< 8000<90^2=8100\)

So we need 100 more soldiers to form a perfect square.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The solutions for x when f(x) = g(x) are x = 22.5° and x = -45° within the given range.

To solve for x when f(x) = g(x), we can set the two functions equal to each other and solve for x.

Given:

f(x) = cos(3x)

g(x) = sin(x)

Setting f(x) equal to g(x):

cos(3x) = sin(x)

To solve this equation, we can use trigonometric identities to rewrite both sides in terms of sine and cosine.

Using the identity cos(θ) = sin(90° - θ), we can rewrite the equation as:

sin(90° - 3x) = sin(x)

Since the sine function is periodic with a period of 360° (or 2π radians), we can find the solutions within the given range of x ∈ [-90°, 180°].

For the equation sin(90° - 3x) = sin(x) to be true, the angles inside the sine function must be equal. We have two possibilities:

Case 1: 90° - 3x = x

Solving this equation, we get:

4x = 90°

x = 22.5°

Case 2: 90° - 3x = 180° - x

Solving this equation, we get:

2x = 90° - 180°

2x = -90°

x = -45°

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Answer:

True

Step-by-step explanation:

1) Add up the cost of all items.

11+4.50+2.95=18.45

2) Compare with 18.

18.45>18

Therefore, Abdurrahman got what he asked for.

Answer: 15

Step-by-step explanation:

-15 is 15 units to zero (answer should always be positive)

Answer:

im thinking its B. Stretched vertically and shifted right

The number of sophomores after reducing ratio 1840.

What is ratio?

 A ratio in math displays how many times one number is contained in another. The ratio of oranges to lemons, for instance, is eight to six if there are eight oranges and six lemons in a bowl of fruit. In a similar way, the ratio of oranges to all other fruits is 8:14, while the ratio of lemons to oranges is 6:8.

Here the ratio is,

=> freshmen: sophomore = 12: 16

Here there total is 3220.

Total ratio = 12+16 = 28 ,

Then ,

28 = 3220

16 = x

After inter multiplication ,

=> x = \(\frac{3220*16}{28}\)

=> x = 1840.

Hence the number of sophomores is 1840.

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Answer:

75%

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 75%

Step-by-step explanation:

Answer: 20

Step-by-step explanation: 7x+40=180

40-180=140

7x=140

140/70.

I think it would be the red line its going to be Negative

around 0 to 2

Answer:

show the graph.

Step-by-step explanation:

Option (A): "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed" is a false statement.

Now, amongst the considered options, "As the degrees of freedom increases the shape of the Chi-Square Distribution becomes more skewed." (Option A) is not true, because:

As the degrees of freedom increases, the shape of the Chi-Square Distribution approaches a normal distribution and the graph of the Chi-Square Distribution looks more symmetrical.

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Answer:

  0

Step-by-step explanation:

There are an infinite number of equivalent expressions. Perhaps the simplest is the value of the expression:

  4 - 4 = 0

Answer:

6 cm²

Step-by-step explanation:

Since 3 side lengths are given, I assume that this figure is a triangle. The area of a triangle can be determined by using hero's formula.

\(\text{Area of triangle} = \sqrt{\text{s(s - a)(s - b)(s - c)}\)

⇒ s = Perimeter/2

⇒ a, b, and c = side lenths of triangle

Replacing a, b, and c as the given side lengths:

\(\implies \text{Area of triangle} = \sqrt{\text{s(s - 5)(s - 3)(s - 4)}\)

Determining the perimeter of the triangle:

\(\text{Perimeter of triangle = Sum of it's side lengths}\)

\(\implies \text{Perimeter of triangle =}\ 5 + 4 + 3\)

\(\implies \text{Perimeter of triangle =}\ 12 \ \text{cm}\)

Determining the half of perimeter:

\(\text{Half of perimeter} = s = \dfrac{\text{Perimeter}}{2}\)

\(\implies s = \dfrac{12}{2}\)

\(\implies s = 6\)

Replacing the value of "s" in the formula:

\(\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}\)

Evaluating the area:

\(\implies \text{Area of triangle} = \sqrt{\text{6(6 - 5)(6 - 3)(6 - 4)}\)

\(\implies \text{Area of triangle} = \sqrt{\text{6(1)(3)(2)}\)

\(\implies \text{Area of triangle} = \sqrt{\text{6(6)}\)

\(\implies \text{Area of triangle} = 6 \ \text{cm}^{2}\)

Answer:

the answer Is 100........

The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

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Here are the matching pairs for the given question:

1. The smallest multiple that two or more given numbers have in common multiple

2. A number resulting from multiplying a given number by an integer solution

3. The least common multiple of two or more denominators Solve

4. The value(s) of a variable that will make an algebraic sentence true Least common denominator

5. The process for finding the solution(s) to an algebraic equation Least common multiple

1. Common Multiple - The smallest multiple that two or more given numbers have in common is known as the common multiple of those numbers.

2. Multiple - A number that results from multiplying a given number by an integer solution is known as a multiple.

3. Least Common Multiple - The least common multiple of two or more denominators is the smallest number that is a multiple of each denominator.

4. Least Common Denominator - The smallest common multiple of the denominators of two or more fractions is known as the least common denominator.

5. Least Common Multiple - The process for finding the solution(s) to an algebraic equation is known as the least common multiple.

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The formula for calculating the magnitude of a vector a is expressed as

a) For vector u, from the graph,

x1 = - 1, y1 = 2

x2 = 4, y2 = 6

b) For vector v,

x1 = 0, y1 = 0

x2 = 5, y2 = 4

Thus, u = v because they have the same magnitude and direction

Answer:

Step-by-step explanation:?