Find the measure of the angle to the nearest degree. Step by step explanation.

a) sin A = 0.6018
b) cos B = 0.9205
c) tan C = 0.0349

a.2

b.4

c.3

d.1

I think it's right

Subtract 5 → 2. x-5 = 12, Divide by 5 → 4. x/5 = 12, Multiply by 5 → 3. 5x = 12 and Add 5 → 1. x+5 = 12.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

a) Subtract 5 → 2. x-5 = 12

b) Divide by 5 → 4. x/5 = 12

c) Multiply by 5 → 3. 5x = 12

d) Add 5 → 1. x+5 = 12

Therefore, a) → 2, b) → 4, c) → 3 and d) → 1.

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The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The probability of the sample mean being less than 25.3 is given as follows:

0.9713 = 97.13%.

The sample mean would not be considered unusual, as it has a probability that is greater than 5%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)

The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:

Z = (25.3 - 25)/0.1576

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

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The values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

A theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.

(25). 2x - 1 = x + 1 {equal tangent segments}

2x - x = 1 + 1 {collect like terms}

x = 2

(26). 2x - 4 = x {equal tangent segments}

2x - x = 4 {collect like terms}

x = 4

Therefore, the values of x for the tangent segments to the circles are: (25). x = 2 and (26). x = 4

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The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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Answer:

x = 21

Step-by-step explanation:

ABF is a right angle and m∠EBA + m∠EBF = m∠ABF

3x - 1 + x + 7 = 90 add like terms

4x + 6 = 90 subtract 6 from both sides

4x = 84 divide both sides by 4

x = 21

To answer this question, we need to find, first of all, the corresponding probability for the events. Then, we have:

1. The probability of an even number is:

We have that in a single 6-sided die, we have that the only even numbers are 2, 4, and 6. If we roll the die one time, then the probability of this event is:

2. The probability of resulting 1 or 3 is - if the die is rolled one time:

3. The probability of resulting in a 5 is - if the die is rolled one time:

Then, if we add all the corresponding probabilities we have:

To find the expected value of the game, we have to find the product of the probability by the corresponding amount of money of the event as follows:

Or

If we round the answer in terms of dollars rounded to the nearest cent (hundredth), we have that the expected value is:

In other words, if we play the game, we will expect to lose 83 cents of a dollar (per game) or 0.83 dollars.

In summary, we have that the expected value of the game is -$0.83.

Given problem;

   Inequality equation;

               \(\frac{x}{16}\)   <   6

Before we solve, let us first translate this problem.

It simply states that for what value(s) of x will the expression be less than 6.

To find this value, we can simply carry out the normal mathematical simplification.

Simply multiply both sides by 16 to reduce the fraction;

      16  x (\(\frac{x}{16}\))   <  6 x 16

 On the left hand side, 16 will cancel out;

                   x <  96

Any value for which x is less than 96 will make the solution of this problem less than 6.

For example, 95;

                       \(\frac{95}{16}\)  = 5.93

This value is less than 6

Answer: I think it is -7 I'm not exactly sure but that's what I think please take someone else's answer just in case.

Step-by-step explanation:

Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

Answer:

28 m below the surface to catch its prey

Answer:

Answer as a fraction: 4/15

Answer as a decimal: 0.267

The decimal version is approximate rounded to three decimal places.

Step-by-step explanation:

6 apples, 4 peaches

6+4 = 10 pieces of fruit total

The probability of picking an apple is 6/10 = 3/5

After you pick and eat the apple, there are 10-1 = 9 pieces of fruit left. Also, the probability of picking a peach is 4/9, as there are 4 peaches out of 9 fruit left over.

Multiply out 3/5 and 4/9 to get (3/5)*(4/9) = (3*4)/(5*9) = 12/45 = 4/15

Using a calculator, 4/15 = 0.267 approximately.

The area is given exactly by the definite integral,

\(\displaystyle\int_{-3}^2(x^2+4)\,\mathrm dx=\left(\frac{x^3}3+5x\right)\bigg|_{-3}^2=\frac{95}3\approx31.67\)

We can write this as a Riemann sum, i.e. the infinite sum of rectangular areas:

• Split up the integration interval into n equally-spaced subintervals, each with length (2 - (-3))/n = 5/n - - this will be the width of each rectangle. The intervals would then be

[-3, -3 + 5/n], [-3 + 5/n, -3 + 10/n], …, [-3 + 5(n - 1)/n, 2]

• Over each subinterval, take the function value at some point x * to be the height.

Then the area is given by

\(\displaystyle\lim_{n\to\infty}\sum_{k=1}^nf(x^*)\Delta x_k=\lim_{n\to\infty}\sum_{k=1}^nf(x^*)\frac5n\)

Now, if we take x * to be the left endpoint of each subinterval, we have

x * = -3 + 5(k - 1)/n   →   f (x *) = (-3 + 5(k - 1)/n)² + 4

If we instead take x * to be the right endpoint, then

x * = -3 + 5k/n   →   f (x *) = (-3 + 5k/n)² + 4

So as a Riemann sum, the area is represented by

\(\displaystyle\lim_{n\to\infty}\sum_{k=1}^n\left(\left(-3+\frac{5k}n\right)^2+4\right)\frac5n\)

and if you expand the summand, this is the same as

\(\displaystyle\lim_{n\to\infty}\sum_{k=1}^n\left(13-\frac{30k}n+\frac{25k^2}{n^2}\right)\frac5n=\lim_{n\to\infty}\sum_{k=1}^n\left(\frac{65}n-\frac{150k}{n^2}+\frac{125k^2}{n^3}\right)\)

So from the given choices, the correct ones are

• row 1, column 1

• row 2, column 2

• row 4, column 2

Answer:

Step-by-step explanation:

Answer:

y = 3/2x - 1.5

Step-by-step explanation:

m = y² - y¹ / x² - x¹

= 9 - 6 / 7 - 5

= 3/2

(5,6)

y = mx + c

6 = 3/2 (5) + c

6 = 7.5 + c

6 - 7.5 = c

c = -1.5

Answer- your answer would be 5/11

Answer:

y = 11-x

y = 2x-1

Step-by-step explanation:

Let x and y be the two numbers

x+y = 11

y = 2x-1

Solving the first equation for y

y = 11-x

Answer:

Im their friend so i'ma just take the pts (cuz i need them)

Step-by-step explanation:

Thx

Answer:

I just need points I have ro freaking clue

Answer:

a) 21.58% probability that exactly 3 people are repeat offenders

b) 97.91% probability that at least one person is a repeat offender

c) 3.69

d) 1.83

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The expected value of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders

This means that \(p = 0.09\)

41 people arrested for DUI in Illinois are selected at random.

This means that \(n = 41\)

a. What is the probability that exactly 3 people are repeat offenders?

This is P(X = 3).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{41,3}.(0.09)^{3}.(0.91)^{38} = 0.2158\)

21.58% probability that exactly 3 people are repeat offenders

b. What is the probability that at least one person is a repeat offender?

Either none are repeat offenders, or at least one is. The sum of the probabilities of these outcomes is 1. So

\(P(X = 0) + P(X \geq 1) = 1\)

We want \(P(X \geq 1)\).

Then

\(P(X \geq 1) = 1 - P(X = 0)\)

In which

\(P(X = 0) = C_{41,0}.(0.09)^{0}.(0.91)^{41} = 0.0209\)

\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0209 = 0.9791\)

97.91% probability that at least one person is a repeat offender

c. What is the mean number of repeat offenders?

\(E(X) = np = 41*0.09 = 3.69\)

d. What is the standard deviation of the number of repeat offenders?

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{41*0.09*0.91} = 1.83\)

Answer:

D. 2

Step-by-step explanation:

The table represents a linear relationship between the variables x and y, where y is proportional to x. This means that for each increase in x by 3 units, y increases by 2 units. The constant of proportionality is the coefficient that relates the change in x to the change in y, and it can be calculated as the ratio of the change in y to the change in x. In this case, the constant of proportionality is equal to (4-2)/(6-3) = 2. Therefore, the correct answer is D: 2.

Answer:

3x+y=-31

Step-by-step explanation:

\(4x - 12y = 2\\12y = 4x-2\\y=\frac{x}{3}-\frac{1}{6}\)

Slope of perpendicular line is -3.

\(y=-3x+b\)

Sub in the point (10, -1)

\(-1=-3(10)+b\\-1=30+b\\b=-31\\y=-3x-31\\3x+y=-31\)

In order to solve this equation, let's calculate the cross product of the fractions:

So the correct option is A.

The solution set is {-42}

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Answer:

True.

Step-by-step explanation:

A probability distribution is a listing of all the outcomes of an experiment and the probability associated with each outcome. Probability distribution is associated with the following characteristics or properties;

1. The outcomes are mutually exclusive.

2. The list of outcomes is exhaustive, which simply means that the sum of all probabilities of the outcomes must equal one (1).

3. The probability for a particular value or outcome must be between 0 and 1.

Since a probability distribution gives the likelihood of an outcome or event, a single random variable is divided into two main categories, namely;

I. Probability density functions for continuous variables.

II. Discrete probability distributions for discrete variables.

For example, when a coin is tossed, you can only have a head or tail (H or T).

Also, when you throw a die, the only possible outcome is 1/6 and the total probability for it all must equal to one (1).

Answer:

I find an area to eat.

Step-by-step explanation:

Answer:

Evaluate for x=0.02,y=0.1,z=0.3

(3)(0.02)−(2(0.12)+0.33)

(3)(0.02)−(2(0.12)+0.33)

=0.013

Step-by-step explanation: