\( log_{10}(4) - log_{10}(2 ) + log_{10}(5) \)


​

option B is correct. To give a margin of error within in estimating a population proportion with 99% confidence, the formula for calculating sample size is:n = (z² * p * q) / E²

Where:n = Sample sizeZ = Confidence intervalP = Estimated proportionQ = (1 - P)E = Margin of errorAs we have to calculate the sample size, we rearrange the above formula and get:n = (z² * p * q) / E²Given: E = 0.01, Z = 2.576 (for 99% confidence interval)

Now, we need to estimate the proportion of the population (p). If we don't have any estimates or data, we can assume 0.5 for p, which gives the maximum sample size. Therefore:p = 0.5q = 1 - p = 1 - 0.5 = 0.5n = (z² * p * q) / E²n = (2.576² * 0.5 * 0.5) / 0.01²n = 663.85Rounding the value up to the nearest integer, the sample size needed to give a margin of error within in estimating a population proportion with 99% confidence is 664.Hence, option B is correct.

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The polynomial x²+xy+y² has 3 terms. Option C is correct.

We have,

A polynomial is an algebraic statement made up of variables and coefficients.

Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.

Given polynomial;

⇒x²+xy+y²

The three terms are as follows;

x²

xy

y²

The polynomial x²+xy+y² has 3 terms.

Hence, option C is correct.

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complete question:

How many terms does the polynomial x² + xy y2 have?

1 term

2 terms

3 terms

4 terms

Step-by-step explanation:

you can subtract the spinner a from spinner b and then find the probability

the answer would be 9.88372093e-7

1 )Simplify.

\(\frac{850000000000000000}{8.6E}\)+23

2 )Answer

9.88372093e-7

A favor the right as shown at equilibrium the correct choice is C. Both 1 and 2.

The provided reaction and the \(pKax_{123}\) of \(hn3\), the factors that favour the reaction proceeding to the right at equilibrium.

\(NgBr\) + \(N3\)- ⇌ \(Ng\)+ + \(BrN3\)

\(BrOH\) + \(OH\)- ⇌ \(BrO\)- + \(H2O\)

To favor the right side of a reaction at equilibrium, factors such as stronger acids or bases, changes in temperature or pressure, and the relative stability of the reactants and products these factors for each reaction:

\(NgBr\) + \(N3\)- ⇌ \(Ng\)+ + \(BrN3\):

The \(PKa\) of \(HN3\) (around 5) that \(N3\)- is a stronger base than \(NgBr\), so it would favor the right side.

\(BrOH\) + \(OH\)- ⇌ \(BrO\)- + \(H2O\):

\(OH\)- is a stronger base than \(BrOH\), indicating that it would favor the right side.

Additionally, water (\(H2O\)) is a more stable compound than \(BrO\)-, further favoring the right side.

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

To test the hypothesis H0: σ = 2.1 versus H1: σ > 2.1, where σ is the population standard deviation, we need to calculate the test statistic and determine the p-value.

a. To compute the test statistic, we use the formula: test statistic = (s - σ0) / (s/√n). where s is the sample standard deviation, σ0 is the hypothesized population standard deviation under the null hypothesis, and n is the sample size. Substituting the given values, we have: test statistic = (2.8 - 2.1) / (2.8 / √17) ≈ 1.703

b. To determine the p-value, we use technology such as statistical software or a t-distribution table. Since the sample size is small (n = 17) and the population is assumed to be normally distributed, we use the t-distribution. Using the t-distribution with degrees of freedom (df) = n - 1 = 16 and the test statistic of 1.703, we find the p-value associated with the right-tail probability. From the t-distribution table or using statistical software, the p-value is approximately 0.0545.

c. The researcher decides to test the hypothesis at the significance level α = 0.05. Since the p-value (0.0545) is greater than the significance level, we fail to reject the null hypothesis. There is not enough evidence to conclude that the population standard deviation is greater than 2.1. Therefore, the researcher will not reject the null hypothesis and will accept that the population standard deviation is equal to 2.1, as stated in the null hypothesis.

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Therefore, the correct answer is c) 3, as there are three F ratios calculated in a 2x2 factorial design.

In a two-way analysis of variance (ANOVA) known as a 2x2

factorial design, there are three F ratios or F statistic values calculated. This design involves two independent variables, each with two levels or categories.

The three F ratios represent the main effects of each independent variable and the interaction between the two variables.The main effects F ratios determine whether there are significant differences between the levels of each independent variable individually, ignoring the other independent variable.

There will be two main effects F ratios, one for each independent variable.The interaction F ratio examines whether there is a significant interaction between the two independent variables. It determines whether the effect of one independent variable differs across the levels of the other independent variable.

This F ratio assesses the joint influence of both independent variables.

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Answer: 3 Pencils

Step-by-step explanation:

In order to know how many packages Zayed can make, we need a number that is a factor of 72 and 24, so that the 72 pencils and the 24 calculators can be divided evenly.

So, if there wre 2 packages, there would be 72 / 2 = 36 pencils 24/ 2= 12 calculators in each package. This creates packages, but isn't the gratest number of packages!

To find the greatest number of identical packeges, we want to found the greatest common factor of 72 and 24

To do so, lets find the factors of 72 and 24

72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

24: 1, 2, 3, 4, 6, 8, 12, 24

the gratest common number factor of 72 and 24 is 24. in math notation this looks like:

gcf (72, 24)=24

the gratest number of identical packages can make is 24

To find the umber of pencils in each pacage, we need to dovide the total number of pencils by the number of pakages:

72 / 24 = 3.

there will be 3 pencils each package

The probability that exactly 5 of the next 20 claims received will be appealed is 1.3224, rounded to four decimal places.

Given, 30% of all claims received by a corporation for a particular type of damage are appealed.

And we have to find the probability that exactly 5 of the next 20 claims received will be appealed.

We can use the binomial probability formula to calculate the probability of the event happening.

The formula for binomial probability is:P(x) = C(n,x) * p^x * (1-p)^(n-x)Here, n = 20, p = 0.30, x = 5

We know that C(n,x) = n!/(x!*(n-x)!)

Substituting the values in the formula,

P(5) = C(20,5) * 0.30^5 * (1-0.30)^(20-5)P(5)

= 15504 * 0.00243 * 0.32768P(5)

= 1.3224

Therefore, the probability that exactly 5 of the next 20 claims received will be appealed is 1.3224, rounded to four decimal places.

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The four critical points are: (0, 0) is a degenerate critical point, (0, 1/8) is a saddle point, (1/4, 0) is a saddle point, (1/6, 1/12) is a saddle point.

The function f(x, y) = xy(1 − 4x − 8y) has 4 critical points. To list them, we first need to find the partial derivatives with respect to x and y and equate them to zero.

df/dx = y(1-8y-4x) = 0

df/dy = x(1-8y-4x) = 0

On solving the above equations, we get the critical points: (0, 0), (0, 1/8), (1/4, 0), and (1/6, 1/12).

The type of critical point can be determined using the Hessian matrix, which is given by:

H = [f_xx f_xy; f_xy f_yy]

where f_xx, f_xy, and f_yy are the second-order partial derivatives of the function f(x, y) with respect to x and y. Evaluating the Hessian matrix at each critical point and analyzing its eigenvalues can help us determine the type of critical point.

The Hessian matrix at each critical point is given by:

H(0, 0) = [0 0; 0 0], which has eigenvalues λ1 = 0 and λ2 = 0, and hence, is a degenerate critical point.

H(0, 1/8) = [1/2 0; 0 1/8], which has eigenvalues λ1 = 1/2 and λ2 = 1/8, and hence, is a saddle point.

H(1/4, 0) = [−1 0; 0 0], which has eigenvalues λ1 = −1 and λ2 = 0, and hence, is a saddle point.

H(1/6, 1/12) = [−1/27 1/72; 1/72 1/288], which has eigenvalues λ1 = −1/144 and λ2 = 1/144, and hence, is a saddle point.

Therefore, the four critical points and their types (in increasing lexicographic order) are:

(0, 0) is a degenerate critical point.

(0, 1/8) is a saddle point.

(1/4, 0) is a saddle point.

(1/6, 1/12) is a saddle point.

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The final payment on a $3000 loan with an interest rate of 4.25% made on March 1, repaid with payments of $500 on March 31, $1000 on June 15, and a final payment on August 31, can be calculated.

Step 1: Calculate the interest accrued from March 1 to August 31. The interest can be calculated using the formula: Interest = Principal × Rate × Time. In this case, Principal = $3000, Rate = 4.25% (or 0.0425 as a decimal), and Time = 6 months.

Step 2: Subtract the interest accrued from the total amount repaid. The total amount repaid is the sum of the three payments: $500 + $1000 + Final Payment.

Step 3: Set up an equation using the remaining balance and the interest accrued. The remaining balance is the difference between the total amount repaid and the interest accrued.

Step 4: Solve the equation for the final payment. Rearrange the equation to isolate the final payment variable.

Step 5: Substitute the values of the principal, rate, and time into the interest formula and calculate the interest accrued.

Step 6: Substitute the calculated interest accrued and the total amount repaid into the equation from Step 3 and solve for the final payment variable. The resulting value will be the final payment on the loan.

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Answer:

1/2

Step-by-step explanation:

When you roll a 6-sided die, there are 6 possible outcomes:

1, 2, 3, 4, 5, 6

3 of the outcomes are even, and 3 of the outcomes are odd.

p(A) = p(even) = 3/6 = 1/2

p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2

The population of birds may develop changes in their beak shape and size over time to better adapt to the new food source through the process of evolutionary adaptation.

It appears you'd like to know what would happen to the beaks of a bird population that finds a new type of food that is equally tasty but different in shape and size.
Over time, the beaks of the bird population may undergo adaptation through natural selection.

As the birds start to consume the new type of food, individuals with beak shapes better suited for handling the different shape and size of the new food will have a higher chance of survival and reproduction.

This would lead to the spread of the advantageous beak trait throughout the population.
In summary, the beaks of the bird population may gradually change to better accommodate the new food source, driven by the process of natural selection.

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Answer:

       \(\frac{2}{7}\)

Step-by-step explanation:

3.5 = \(\frac{7}{2}\)

swap the numerator and denominator (flip the fraction):

reciprocal of \(\frac{7}{2}\) is \(\frac{2}{7}\)

Using Direct Variation, the value of n = 26

An equation is an expression that shows the relationship between two or more numbers and variables.

We need to Write y = kx based on the conditions stated.

Replace with: -18 = k x 3

Turn the sides around: k × 3 = -18

Now Subtract the coefficient of the variable from both sides of the equation:

k = 26 compute the product or quotient.

Write the function's equation as;

y = 26x

Replace with:

n = 26 × 4

n = 104; compute the product or quotient.

Response: n = 26

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Answer:

I believe the answer would be m = -28

Step-by-step explanation:

To remove the demoninater, multiple both sides by 7

12*7 = 84 so now you have -3 = 84

Divide 84 by -3, giving you -28

Step-by-step explanation:

1.

2.

3.

4.

5.

6.  This seems a typo... 460 is likely $60

Answer:

Answer is B, you should distribute. Have a nice day! :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

\( \huge \pink { \overline{ \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad}}\)

1. Number of copies of Math Books sold for one week by a bookstore.

Sunday - 180

Monday -270

Tuesday -250

Wednesday -310

Thursday -420

Friday -220

Saturday - 510

= 2,160

→The number of copies of Math books sold for one week by a bookstore is 2,160

\(\huge \pink { \overline{ \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad}}\)

Step-by-step explanation:

#Carry On Learning

\( \huge \rm \underline \purple{study \: well}\)

⤵

Choi Eunbyul<3

Answer:

n = -8, 7

Step-by-step explanation:

Your equation is:

\(\displaystyle{n^2+n=56}\)

Arrange the terms in the quadratic expression, ax² + bx + c:

\(\displaystyle{n^2+n-56=0}\)

Factor the expression, thus:

\(\displaystyle{\left(n+8\right)\left(n-7\right)=0}\)

This is because 8n-7n = n (middle term) and 8(-7) = -56 (last term). Then solve like a linear which results in:

\(\displaystyle{n=-8,7}\)

Hello!

\(\sf n^2 + n = 56\\\\n^2 + n - 56 = 0\\\\\\n = \dfrac{-b\±\sqrt{b^2-4ac} }{2a} \\\\\\n = \dfrac{-1\±\sqrt{1^2-4*1*(-56)} }{2*1}\\\\\\n = \dfrac{1\±15}{2} \\\\\\\boxed{\sf n = 7 ~or ~-8 }\)

Answer:

\( \sqrt{ {1}^{2} + {2}^{2} + {( - 2)}^{2} } = \sqrt{1 + 4 + 4} = \sqrt{9} = 3\)

(1, 2, -2) is 3 units away from the origin.

(0, 0, 5) is 5 units away from the origin.

So (0, 0, 5) is farther away from the origin.

Answer: 24.9

Step-by-step explanation:

6.2 tan(76) = 24.86

Answer:

the answer is 24.9

Step-by-step explanation:

Answer:

\( \frac{n}{3} - 7\)

Step-by-step explanation:

The comma is important here, otherwise "one third of a number n minus 7" is

\( \frac{n - 7}{3} \)

The algebraic expression represents “one-third of a number, n, minus 7

” could be; 1/3n - 7.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like , subtraction, addition, multiplication, and division.

The Numbers constants, variables, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols.

We are given that “one-third of a number, n, minus 7”

Therefore, the number n and 7 then it can be written as

1/3n - 7

The algebraic expression represents the statement is 1/3n - 7.

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Answer:

(2,7), (6,-2),

Step-by-step explanation:

After finding the points you plug them in to the distance formula:

d=√((x2-x1)²+(y2-y1)²)

d=√[(6-2)²+(-2-7)²]

Answer

Area = 21 Sq units

Step-by-step explanation:

Area= 1/2[(x1y2 + x2y3 + x3y1) - (x2y1 + x3y2 + x1y3)]

Area = 1/2[(-5×5 +-3×-2+1×-2) - (-3×-2+1×5+-5×-2)]

Area = 1/2(-42)

Area = -21 sq units

Area = 21 sq units (The area is negative because it is below the x-axis.)

The mode salary of a major league baseball player being $600,000 means that more major league baseball players earn $600,000 than any other salary. In this context, "mode" represents the most frequently occurring value in a data-set, which, in this case, is the salaries of major league baseball players.

The correct answer to this question is (a) more major league baseball players earn $600,000 than any other salary. The mode is the value that appears most frequently in a dataset, and in this case, it means that $600,000 is the most common salary among major league baseball players. This doesn't necessarily mean that it's the middle salary or the average salary, as those would be the median and mean respectively. It also doesn't mean that no player makes less than $600,000, as there may be some players who earn less than this amount. Therefore, the correct answer is (a), which is the only option that accurately reflects what the mode represents in this context.

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Answer:

130 pi or 408.41

Step-by-step explanation:

formula for sa of a cylinder is 2pir^2+2pirh

you just fill in the r and h

Answer:

\(\approx 408.2\) in²

Step-by-step explanation:

The surface area of a cylinder can be represented as \(2\pi rh+2\pi r2\). Let's represent pi as 3.14 and r is 5 and h is 8.

\((2\cdot 3.14\cdot 5\cdot8) + (2\cdot 3.14 \cdot 5^2)\\\\251.2 + 157 = 408.2\)

This means the surface area of this cylinder is 408.2 in².

Hope this helped!