What critical value t∗ from Table C would you use for a confidence interval for the mean of the population in each of the following situations?
(a) A 98% confidence interval based on n = 29 observations.
(b) A 95% confidence interval from an SRS of 17 observations.
(c) A 90% confidence interval from a sample of size 8.
A: ?
B: ?
C: ?

The total number of cups of chocolate is A = 12 cups

Given data ,

To find the total number of cups of hot chocolate that Stanley made, we need to add together the amounts of milk, cream, and melted chocolate.

6 cups of milk

1 pint of cream (1 pint = 2 cups)

On simplifying the equation ,

4 cups of melted chocolate

Now , the total number of cups is A

where A is

6 cups of milk + 2 cups of cream + 4 cups of melted chocolate = 12 cups of hot chocolate

Hence , Stanley made 12 cups of hot chocolate

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Use a decimal number to fill in the blank. a 16 input mux has 4  select lines.

What is a decimal number?

How do you write decimal numbers?

To write a decimal in word form, follow these steps:

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Answer:

The value of 12^2 would be=144

Explanation:

According to the given data we have the following expression:

To calculate 12^2 we would have to make the following calculation:

12^2=12*12

Hence, if 12*12=144,

Therefore, the value of 12^2 would be=144

• The have 1 equal sides.

• They have 3 sides.

• They have 3 vertex.

|

• GFE = UTS

|

• because they're the same triangle just opposite.

quotient = the answer to a division problem

To divide by a fraction, multiply by the reciprocal of the fraction

reciprocal of a fraction = the numerator and denominator are reversed

First, convert "three and two thirds" into an improper fraction:

\(3\dfrac{2}{3}\)

⇒ Multiply the whole number by the denominator and add the numerator:

\(\dfrac{11}{3}\)

Now, we want to divide this number by three fifths:

\(\dfrac{11}{3}\div\dfrac{3}{5}\)

⇒ Dividing by a fraction is the same as multiplying by its reciprocal:

\(= \dfrac{11}{3}\times\dfrac{5}{3}\\\\=\dfrac{55}{9}\)

\(\dfrac{55}{9}\)

theannswer wold be 100 .33 .87

Answer: See Explanation

Step-by-step explanation:

1st term = an= - 5n + 8 = -5(1) + 8

= -5 + 8

a1 = 3

2nd term = an= - 5n + 8 = -5(2) + 8

= -10 + 8

= -2

3rd term = an= - 5n + 8 = -5(3) + 8

= -15 + 8

= -7

4th term = an= - 5n + 8 = -5(4) + 8

= -20 + 8

= -12

5th term = an= - 5n + 8 = -5(5) + 8

= -25 + 8

= -17

Answer:

-3/8

Step-by-step explanation:

This equation is formatted as y=mx+b where m is the slope of the line, x is the x value, and b is the y-intercept. When finding the slope of such an equation, just find what the coefficient of x in the function is. So, this equation is y = -3/8x - 6/5 and m is -3/8, so your slope is -3/8. Hope that helps!

1. \(-4, |3-7|, 5, |2*(-3)-(-1)|\)

2. a) -33

b) 34

c) -26

Explanation:

For #1: since absolute values cannot be negative, \(|3-7|\) = 4, and

\(|2*(-3)-(1)|\) = 7

For #2: Just work through the equations using P.E.M.D.A.S

After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

The Markov assumption in this context is that the probability of a voter's next vote depends only on their current vote and not on their past voting history. In other words, the Markov assumption states that the future behavior of a voter is independent of their past behavior, given their current state.

Transition diagram:

        LEFT      RIGHT

    |--------->--------|

LEFT |   0.8        0.2   |

    |                   |

RIGHT|   0.1        0.9   |

    |--------->--------|

The diagram represents the two possible states: LEFT and RIGHT. The arrows indicate the transition probabilities between the states. For example, if a voter is currently in the LEFT state, there is a 0.8 probability of transitioning to the LEFT state again and a 0.2 probability of transitioning to the RIGHT state.

Transition matrix:

     |  LEFT   |  RIGHT  |

---------------------------

LEFT  |   0.8   |   0.2   |

---------------------------

RIGHT |   0.1   |   0.9   |

---------------------------

The transition matrix represents the transition probabilities between the states. Each element of the matrix represents the probability of transitioning from the row state to the column state.

If 55% of the electorate votes RIGHT one year, we can use the transition matrix to find the percentage of voters who vote RIGHT the next year.

Let's assume an initial distribution of [0.45, 0.55] for LEFT and RIGHT respectively (based on 55% voting RIGHT and 45% voting LEFT).

To find the percentage of voters who vote RIGHT the next year, we multiply the initial distribution by the transition matrix:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1] = [0.62, 0.38]

Therefore, the percentage of voters who vote RIGHT the next year would be approximately 38%.

To find the voter percentages in 10 years' time, we can repeatedly multiply the transition matrix by itself:

[0.45, 0.55] * [0.2, 0.9; 0.8, 0.1]^10 ≈ [0.503, 0.497]

After 10 years, the voter percentages would be approximately 50.3% for LEFT and 49.7% for RIGHT.

Interpretation: The results suggest that over time, the voter percentages will tend to approach an equilibrium point where the percentages stabilize. In this case, the percentages stabilize around 50% for both LEFT and RIGHT parties.

No, there will not be a steady state where the party percentages don't waiver. This is because the transition probabilities in the transition matrix are not symmetric. The probabilities of transitioning between the parties are different depending on the current state. This indicates that there is an inherent bias or preference in the voting behavior that prevents a steady state from being reached.

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Answer:

C.

Step-by-step explanation:

the ratio is 1:2

so,

\(4*2=8\\7*2=14\\1*2=2\)

the only shape with those numbers is C

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

The 18th term of the arithmetic sequence is 45.2, while the balance in an account with a $8,600 deposit and 12% annual interest after 5 years is $14,311.39. With a $6,284 deposit and 14% annual interest after 30 months, the account balance will be $7,463.17. Borrowing $1,709 at a 182% annual interest rate, the monthly payment for 16 months will be $202.06.

1. Arithmetic sequence: The formula to find the nth term of an arithmetic sequence is given by:

nth term = first term + (n - 1) * common difference

Here, the 4th term is given as 6 and the common difference is 2.9.   Plugging in these values, we can calculate the 18th term as follows:

18th term = 6 + (18 - 1) * 2.9 = 6 + 17 * 2.9 = 45.2

2. Compound interest: For the first scenario, where $8,600 is deposited into an account that pays 12% simple annual interest compounded monthly for 5 years, we can calculate the final balance using the formula for compound interest:

A = P * \((1 + r/n)^{(n*t) }\)

Here, P is the principal amount, r is the annual interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years. Plugging in the values:

P = $8,600, r = 12% = 0.12, n = 12 (monthly compounding), t = 5

A = 8600 * \((1 + 0.12/12)^{(12*5)}\)= $14,311.39

3. Similarly, for the second scenario, where $6,284 is deposited into an account that pays 14% simple annual interest compounded monthly for 30 months:

P = $6,284, r = 14% = 0.14, n = 12 (monthly compounding), t = 30/12 = 2.5

A = 6284 * \((1 + 0.14/12)^{(12*2.5)}\) = $7,463.17

4. Monthly payment: To calculate the monthly payment amount for borrowing $1,709 from The Saver at a 182% simple annual interest rate, we can divide the total amount by the number of payments. The formula for calculating the monthly payment for a loan is:

Monthly payment = Total amount / Number of payments

Here, the total amount is $1,709 and the number of payments is 16. Plugging in the values:

Monthly payment = 1709 / 16 = $202.06

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Answer:

\(22\)

Step-by-step explanation:

Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for \(?\):

\(\frac{28}{42}=\frac{?}{33}\) (divide corresponding sides)

\(\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}\)

Answer:

21.8901 g

Step-by-step explanation:

Given that:

1 gram of pure salt contains 0.393 g of sodium

1 gram = 0.393g

Gram of sodium in 55.7g of pure salt will be x

1g = 0.393g

55.7g = x

Cross multiply:

x = 55.7 * 0.393

x = 21.8901

55.7 g of pure salt will contain about 21.8901 g of sodium chloride

The complete chart here is

|---Simplify the Polynomial---|--Degree--|--Leading Coefficient--|--Constant--|

|------7a^4 - 3a^3 - 2a + 2------|------4-------|---------------7----------------|--------2-------|

Explain polynomial

A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and exponentiation. Polynomials can have one or more terms and are commonly used to model relationships in science and engineering.

What is meant by coefficient?

The coefficient is a numerical factor that is multiplied by a variable or a product of variables in an algebraic expression or equation.

According to the given information

To add the two polynomials, we combine like terms. That is, we add the coefficients of terms that have the same degree.

(7a⁴ - 6a³ + 1) + (3a³ - 2a + 1)

= 7a⁴ + (-6a³ + 3a³) + (-2a) + (1 + 1)

= 7a⁴ - 3a³ - 2a + 2

So, the simplified polynomial is `7a⁴ - 3a³ - 2a + 2`.

The degree of this polynomial is `4` since the term with the highest degree is `7a⁴`.

The leading coefficient of this polynomial is `7` since it is the coefficient of the term with the highest degree.

The constant term of this polynomial is `2` since it is the term with a degree of `0`.

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The equation of the line that passes through the point  (-5, 4) and (1, -2) is; C) y - 4 = -(x + 5)

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Point (-5, 4) and (1, -2)

Then Slope m = (-2 - 4)/(1 + 5)

m = -6/6 = -1

Now Write the equation as;

y - 4 =  -1(x + 5)

Hence, the equation of the line is; C) y - 4 = -(x + 5)

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(a)The antiderivative of f(x) = 1/x with C=0 is ln|x|.

(b)The antiderivative of g(x) = 5/x with C=0 is 5 ln|x|.

(c)The antiderivative of h(x) = 4 - 3/x with C=0 is 4x - 3 ln|x|.

a. To find the antiderivative of f(x) = 1/x^b, we use the power rule of integration. The power rule states that if f(x) = x^n, then the antiderivative of f(x) is (1/(n+1))x^(n+1) + C. Applying this rule, we get:

∫(1/x^b) dx = x^(-b+1)/(-b+1) + C

Simplifying the above expression, we get:

∫(1/x^b) dx = (-1/(b-1))x^(1-b) + C

Therefore, the antiderivative of f(x) = 1/x^b with C=0 is (-1/(b-1))x^(1-b).

b. To find the antiderivative of g(x) = 5/x^c, we again use the power rule of integration. Applying this rule, we get:

∫(5/x^c) dx = 5/(1-c)x^(1-c) + C

Simplifying the above expression, we get:

∫(5/x^c) dx = (5/(c-1))x^(1-c) + C

Therefore, the antiderivative of g(x) = 5/x^c with C=0 is (5/(c-1))x^(1-c).

c. To find the antiderivative of h(x) = 4 - 3/x, we split the integral into two parts and use the power rule of integration for the second part. Applying the power rule, we get:

∫(4 - 3/x) dx = 4x - 3 ln|x| + C

Therefore, the antiderivative of h(x) = 4 - 3/x with C=0 is 4x - 3 ln|x|.

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Answer:

x = 2 and y = 3

Step-by-step explanation:

given:

using elimination rule:

 2x - 3y = -5

- 2x - y = - 7

................................

-4y = -12

y = 3

Find x:

2x - 3y = -5

2x - 3(3) = -5

2x - 9 = -5

2x = - 5+9

2x = 4

x = 2

Answer:

\(y=3\\x=2\\\)

Step-by-step explanation:

\((2x-3y)-(2x+7)\\=-4y=(-5)-(7)\\-4y=-12\\y=12/4\\y=3\)

Insert y=3 into any one equation in the system of equations:

\(2x-3(3)=-5\\2x-9=-5\\2x=4\\x=4/2\\x=2\)

or

\(2x+(3)=7\\2x=4\\x=4/2\\x=2\)

3 x 80(4) = 960

80 multiply with 4 as the length of the sisi of the square is 80m and has four sisi.

3 multiply 80(4) as Kelly jog three times a week

Answer:

Step-by-step explanation:

6\(\sqrt{5\\\)

\(\sqrt{5*36}\)

\(\sqrt{180}\)

If you think about it logically, how can you take 6 out? So there was a number 36 under the root, and because of that there is a possibility to take it out, because 6 squared is 36

The probability that exactly 250 out of 413 adults will be in favor of abolishing the sales tax and increasing the income tax can be calculated using the binomial probability formula.

Find the probability of exactly 250 out of 413 adults being in favor of abolishing the sales tax and increasing the income tax, we can use the binomial probability formula.

The binomial probability formula is:

P(X = k) = (n C k) * p^k * (1 - p)^(n - k)

Where:

- P(X = k) is the probability of getting exactly k successes,

- (n C k) represents the number of combinations,

- p is the probability of success for a single trial,

- k is the number of successes,

- n is the number of trials.

In this case, n = 413 (sample size), p = 0.59 (probability of success), and k = 250 (number of successes).

Plugging in these values, we can calculate the probability:

P(X = 250) = (413 C 250) * (0.59^250) * (1 - 0.59)^(413 - 250)

Calculating the binomial coefficient (413 C 250) may require a large number of calculations, but it can be simplified using the symmetry property of binomial coefficients:

(413 C 250) = (413 C 163)

Once simplified, you can evaluate the expression using a calculator or statistical software to find the probability.

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The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Answer:

300

Step-by-step explanation:

Evaluate 2 y^2 (y + x) where x = 1 and y = 5:

2 y^2 (y + x) = 2×5^2 (1 + 5)

Hint: | Evaluate 1 + 5.

1 + 5 = 6:

2×5^2×6

Hint: | Evaluate 5^2.

5^2 = 25:

2×25×6

Hint: | Multiply 2 and 25 together.

2×25 = 50:

50×6

Hint: | Multiply 50 and 6 together.

50×6 = 300:

Answer: 300

Answer:

the answer is 820.59 cubic yards

Answer:

34

Step-by-step explanation:

Substitute the values.

s = 3 and t = -2

8s-5t

8 (3) - 5(-2)

( 8 x 3 ) - ( 5 x -2 )

24 + 10 [ - x - = + ]

= 34

Answer:

10.6

Step-by-step explanation:

Answer:

She would be using 10.6 feet of wood.

Step-by-step explanation:

Multiply 2.65 (the length of the wood) by 4 (the number of pieces) and you would get 10.6 (the total measurement of the wood she has).

Answer:

10.717

Step-by-step explanation:

15.31×0.7 = 10.717

Answer:

I can't see the whole thing.

So sorry I can't answer it if I can't see the WHOLE thing.

Answer:

D. A value of 0.9 is more than 2 standard deviations from the mean

Step-by-step explanation:

A is wrong, because the standard deviation is +/-0.15 (the measure up or down from the mean)

B is wrong, because the mean is exactly 0.5

C is wrong, because 1 standard deviation up from the mean is 0.65, and 0.7 is outside of that.

Answer:

perimeter of rectangle = 2(L+W)

Step-by-step explanation:

after solving above equation

we get,

width of rectangle is 87

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.

In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.

Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.

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