find the measure of angle b.​

Based on the information given, your our initial age is approximately 61.2 years old.

To calculate the age, we will need to apply the mathematical operations described in the opposite order:

Note: Here is the question in English

If I add 19 to my age, I put zero to the right of the result, then I divide it by 11, I subtract 15 from the quotient, I extract the square root from the difference, I add 3 to the root, I extract the cube root to the last sum, obtaining 2. What is my age?

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Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad Q(\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill PQ=\sqrt{(~~ 3- 1~~)^2 + (~~ 1- 3~~)^2} \\\\\\ ~\hfill PQ=\sqrt{( 2 )^2 + ( -2)^2} \implies \boxed{PQ=\sqrt{ 8}}\)

\(Q(\stackrel{x_1}{3}~,~\stackrel{y_1}{1})\qquad R(\stackrel{x_2}{1}~,~\stackrel{y_2}{-1}) ~\hfill QR=\sqrt{(~~ 1- 3~~)^2 + (~~ -1- 1 ~~)^2} \\\\\\ ~\hfill QR=\sqrt{( -2)^2 + ( -2)^2} \implies \boxed{QR=\sqrt{ 8}} \\\\\\ R(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad S(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1}) ~\hfill RS=\sqrt{(~~ -2- 1~~)^2 + (~~ -1- (-1)~~)^2} \\\\\\ ~\hfill RS=\sqrt{( -3)^2 + ( 0)^2} \implies RS=\sqrt{ 9}\implies \boxed{RS=3}\)

\(S(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad P(\stackrel{x_2}{1}~,~\stackrel{y_2}{3}) ~\hfill SP=\sqrt{(~~ 1- (-2)~~)^2 + (~~ 3- (-1)~~)^2} \\\\\\ ~\hfill SP=\sqrt{( 3)^2 + ( 4)^2} \implies SP=\sqrt{ 25}\implies \boxed{SP=5} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Perimeter} }{\sqrt{8}+\sqrt{8}+3+5} ~~ \approx ~~ \text{\LARGE 13.7}\)

Answer:

4 ft/sec

Step-by-step explanation:

Hope it helps

The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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Answer:

4/663

Step-by-step explanation:

1/13 = probability of ace (as 1st card)

4/51 = probability of jack (as 2nd card) -->

4/663

The probability that the first card is an Ace and the second card is a Jack without replacement will be 0.00603318 or 4/663.

The probability of an event occurring is defined by probability.

Probability is also known as chance because, if you flip a coin, the likelihood that it will land on its head or tail is nothing more than the chance that either the head or the tail will occur.

In our daily time, there are several instances in the everyday world where we may need to draw conclusions about how everything will turn out.

Without replacement will be dependent events.

Probability of dependent events

P(A and B) = P(A) × P(B/A).

Probability of the first card as  Ace = 4/52 ( 4 are Aces out of 52 cards)

Probability of the second card as jack = 4/51 ( since 1 ace has been removed)

P( Ace and Jack ) =  4/52 ×  4/51 = 4/663 = 0.00603318

Hence the probability that the first card is an Ace and the second card is a Jack will be 0.00603318.

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Answer: 6 weeks

Step-by-step explanation: $54 x 6 = $324

Answer:

minus 4

Step-by-step explanation:

answers in the photo thanks

Answer:

Width = 5

Length = 11

Step-by-step explanation:

Let :

Width, = x

Length = 2x + 1

Area of rectangular garden is given as 55 ft²

Area of a rectangular garden, A = Length * width

Hence,

x * (2x + 1) = 55

2x² + x = 55

2x² + x - 55 = 0

Using the quadratic equation formula :

a = 2 ; b = 1, c = - 55

-b ± sqrt(b² - 4ac) / 2a

Using the quadratic equation solver to save computation time :

The roots are :

-5.5 and 5

Dimension can't be negative ; so x = 5

Hence,

width, x = 5

Length, 2x + 1 = 2(5) + 1 = 10 + 1 = 11

Hence,

Width = 5

Length = 11

Answer:25,000.00

Step-by-step explanation:

If you borrow $700 for 5 years at an annual interest rate of 7%, and the loan requires you to make equal monthly payments, then the total amount you will pay back depends on the type of loan and payment schedule. Assuming a simple interest loan with equal monthly payments, you will pay a total of $814.20 over the course of the loan.

This calculation is based on the following assumptions:

The interest rate is simple interest, meaning that it is applied only to the principal amount of the loan.

The loan has a fixed interest rate for the entire term.

The loan requires you to make equal monthly payments, which include both principal and interest.

So, if you borrow $700 for 5 years at an annual interest rate of 7%, and you make equal monthly payments over the term of the loan, you will pay a total of $814.20.

\(\huge\text{Hey there!}\)

\(\textsf{Assuming:}\)

\(\mathsf{w + (w - \dfrac{12}{2^2} \times 3)(7)}\)

\(\textsf{If so:}\)

\(\mathsf{w + (w - \dfrac{12}{2^2} \times 3)(7)}\)

\(\mathsf{= 10 + (10 - \dfrac{12}{2^2} \times 3)(7)}\)

\(\mathsf{= 10 + (10 - \dfrac{12}{2\times2} \times 3)(7)}\)

\(\mathsf{= 10 + (10 - \dfrac{12}{4} \times 3)(7)}\)

\(\mathsf{= 10 + (10 -3 \times 3)(7)}\)

\(\mathsf{= 10 + (10 - 9)(7)}\)

\(\mathsf{= 10 + (1)(7)}\)

\(\mathsf{= 10 + 7}\)

\(\mathsf{= 17}\)

\(\huge\textsf{Therefore, your answer should be:}\)

\(\huge\boxed{\textbf{Option D. }\frak{017}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

(a) Sample size: Increasing the sample size decreases the variance of the OLS estimator. (b) Variation in X: Greater variation in X leads to higher variance in the OLS estimator.

(a) Sample Size: Increasing the sample size tends to reduce the variance of the Ordinary Least Squares (OLS) estimator. As the sample size grows larger, the estimator becomes more precise and better captures the true underlying relationship between the variables. With more observations, the OLS estimator tends to average out random errors, leading to a decrease in variance. However, if there are influential outliers or systematic biases present in the data, increasing the sample size may not necessarily result in a significant reduction in the variance.

(b) Variation in X: The variance of the OLS estimator is influenced by the variation in the independent variable (X). When there is greater variation in X, the OLS estimator tends to have higher variance. This occurs because a wider range of X values can lead to a wider range of predicted Y values, resulting in larger deviations from the true regression line. In contrast, if there is less variation in X, the OLS estimator will have lower variance as the predicted Y values will be more tightly clustered around the regression line. Therefore, an increase in the variation of X tends to increase the variance of the OLS estimator.

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The rate of increase in population size will depend on the magnitude of the difference between the birth and death rates, as well as the extent of emigration and immigration.

If the number of births in a population are greater than the number of deaths and the emigration rate is 2x the immigration rate, then the population size is likely to increase over time. This is because there are more individuals being born than dying, and even though there is a higher emigration rate, the net effect is still an increase in population size. However, the rate of increase in population size will depend on the magnitude of the difference between the birth and death rates, as well as the extent of emigration and immigration.
If the number of births in a population is greater than the number of deaths, and the emigration rate is 2x the immigration rate, the population size is likely to experience some growth due to the excess of births over deaths. However, the growth may be slowed down or even potentially decrease over time, as the higher emigration rate could lead to more people leaving the population than entering it. The overall change in population size will depend on the balance between these factors.

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Answer:D.5

Step-by-step explanation:

The expected value of your net winnings, x, is $1.39.

To find the expected value of x (net winnings), first calculate the probability of each outcome and multiply it by the respective winnings. There are 6 sides on each die, so there are 36 possible outcomes (6 sides on red die * 6 sides on blue die).

1. Winning $5: Sum of 5, 6, or 8 has 4+5+5 = 14 successful outcomes. Probability = 14/36.
2. Winning $2: Sum of 4, 9, or 10 has 3+4+3 = 10 successful outcomes. Probability = 10/36.
3. Losing $4: Sum of 2, 3, 7, 11, or 12 has 1+2+6+2+1 = 12 successful outcomes. Probability = 12/36.

Now, multiply each probability by its respective winnings/loss and sum them to find the expected value of x:

E(x) = ($5 * 14/36) + ($2 * 10/36) + (-$4 * 12/36) = $1.39

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Answer:The first one

Step-by-step explanation:

Cheap data's distribution is more symmetrical

The volume of the solid the region defined by the given curves must be rotated about the x-axis is V = \(\frac{384\pi }{5}\).

Given that,

The region defined by the given curves must be rotated about the x-axis to determine the solid's volume, which is y =6 -x², y =2.

We know that,

Take the equation of the curves about the x- axis

y =6 -x², y =2.

Substitute y = 2 in equation y = 6 - x²

2 = 6 - x²

-x² = 2-6

x² = 4

Taking square root on both sides

x = ±2

Now, volume formula is define by using washer method

V =  \(\pi \int\limits^a_b {[f(x)]^2 - [g(x)]^2} \, dx\)

V = \(\pi \int\limits^2_{-2} {[6-x^2]^2 - [2]^2} \, dx\)

V = \(\pi \int\limits^2_{-2} {(36 + x^4 - 12x^2 - 4}) \, dx\)

V = \(\pi \int\limits^2_{-2} {(x^4 - 12x^2 - 32)} \, dx\)

V = \(\pi( [\frac{x^5}{5}] - 12\times\frac{x^3}{3} -32x)^2_{-2}\)

V = \(\pi[( [\frac{2^5}{5}] - 12\times\frac{2^3}{3} -32(2))-([\frac{-2^5}{5}] - 12\times\frac{-2^3}{3} -32(-2))]\)

V = \(\pi[( [\frac{32}{5}] - 4 \times 8 -64)-( [\frac{-32}{5}] - 4\times(-8) +64)]\)

V = \(\pi[( [\frac{32}{5}] - 32 -64)-( [\frac{-32}{5}] +32 +64)]\)

V = \(\pi( [\frac{384}{5}] )\)

V = \(\frac{384\pi }{5}\)

Therefore, The volume of the solid is V = \(\frac{384\pi }{5}\)

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Answer:

what line

Step-by-step explanation:

what line cause i dont see one

Answer/Step-by-step explanation:

x + 74° + 20° = 180° (sum of interior angles of a triangle)

x + 94° = 180°

x = 180° - 94° (subtraction property of equality)

x = 86°

y = 74° + 20° (exterior angle theorem of a triangle)

y = 94°

y + z + 32° = 180° (sum of interior angles of a ∆)

Plug in the value of y

94 + z + 32 = 180

z + 126 = 180

z = 180 - 126

z = 54°

(a) To find the mean and standard deviation of the number of voters not in support of immigration reform, we use the formula for the mean and standard deviation of a binomial distribution:

Mean (μ) = n * p

Standard Deviation (σ) = √(n * p * (1 - p))

Given that the sample size (n) is 400 and the probability (p) is 0.20, we can calculate:

Mean (μ) = 400 * 0.20 = 80

Standard Deviation (σ) = √(400 * 0.20 * (1 - 0.20)) = √(400 * 0.20 * 0.80) = √64 = 8

So, the mean number of voters not in support of immigration reform is 80, and the standard deviation is 8.

(b) To find the probability of getting exactly 75 voters not in support of immigration reform, we use the binomial probability formula:

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

Substituting the values, we have:

P(X = 75) = C(400, 75) * (0.20)^75 * (1 - 0.20)^(400 - 75)

You can use a calculator or software to evaluate this expression.

(c) To find the probability of getting more than 100 voters not in support of immigration reform, we need to calculate the sum of probabilities for all values greater than 100:

P(X > 100) = P(X = 101) + P(X = 102) + ... + P(X = 400)

Again, you can use a calculator or software to evaluate this expression.

(d) To find the probability of getting between 70 and 90 (inclusive) voters not in support of immigration reform, we need to calculate the sum of probabilities for all values between 70 and 90:

P(70 ≤ X ≤ 90) = P(X = 70) + P(X = 71) + ... + P(X = 90)

Use a calculator or software to evaluate this expression.

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Answer:

C. The cost of  show tickets is $30

Step-by-step explanation

Answer:

$6.43

Explanation:

The given problem can be solved using the exponential growth equation below;

where a = the initial cost in 2003 = $4.75

r = rate in decimal = 1.8% = 1.8/100 = 0.018

x = number of years = 17 years

Let's go ahead and substitute the above values into the equation and solve for y;

Answer:

35 degrees

Step-by-step explanation:

An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Because 90 degrees is greater than 45 degrees, the two sides with the same length, would have a smaller length than the third side

sum of angles in a triangle = 180

180 - 110 = 70

since 2 angles would be equal

70 / 2 = 35

Answer: 1.18 possibilities 2. 36 possibilities

Step-by-step explanation:

1. 1o, 1g, 1h, 2o, 2g, 2h, 3o, 3g, 3h, 4o, 4g, 4h, 5o, 5g, 5h, 6o, 6g, 6h

2. hw1 hw2 hw3 hw4 hw5 hw6, hg1 hg2 hg3 hg4 hg5 hg6, tw1 tw2 tw3 tw4 tw5 tw6, tg1 tg2 tg3 tg4 tg5 tg6, cw1 cw2 cw3 cw4 cw5 cw6, cg1 cg2 cg3 cg4 cg5 cg6

C.) Y = 125000(1.035)x

Step-by-step explanation:

I took the test and got it right

Answer:

Obtuse

Step-by-step explanation:

Cause the obtuse has the right angle for those inches i counted it all up