Given secant of theta is equal to the square root of 10 over 2 comma what is cos?

a. one fifth
b. 5
c. square root of 10 over 2
d. square root of 10 over 5

Explanation:

The solution to the system is where the two lines cross. In this case, it is at the location (-2, 2). The x coordinate of this point is x = -2.

Using it's concept, the probability that a randomly selected woman will carry the gene mutation and develop colon cancer is 0.0007 = 0.07%.

The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

In the context of this problem, we have that:

Hence the probability is calculated as follows:

p = 1/700 x 0.46 = 0.0007 = 0.07%.

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Answer:

Step-by-step explanation:

1. Write your formula

2. Plug it in

3. Solve

these steps will help you out with all of your surface area problems.

Like this

Since it is a diameter you have to divide the diameter by 2. That will get you your radius. Then you write your formula for a cylinder. Your formula is...

V = Bh                            (Pie is also known as 3.14)

your big (B) is (pie times r squared) Then you add your height.

so your formula will look like this...

V = pie times r squared...

the full formula will be...

V = (3.14) times (2.5 squared) times the height which in this case is (12)

everything together will be...

V = (3.14) (2.5^2) (12)

all you have to do is multiply all of that and you will get your answer.

The answer is...

V = 236 inches ^2                        (Just a tip, the ^ sign means to the power of)

To find the probability that a participant selected at random found the products favorable, we can calculate the weighted average of the favorable responses from both the industry-sponsored and non-industry-funded studies.

For the industry-sponsored studies, 65% of participants found the products favorable, and for the non-industry-funded studies, 47% found the products favorable. Since there were 65 industry-sponsored studies and 35 non-industry-funded studies, the overall probability is:

(65/100) * 0.65 + (35/100) * 0.47 = 0.4225 + 0.1645 = 0.587 or 58.7%

If a randomly selected participant found the product favorable, we can use Bayes' theorem to calculate the probability that the study was sponsored by the food industry given this favorable response. The calculation is:

P(Industry-sponsored | Favorable) = (P(Favorable | Industry-sponsored) * P(Industry-sponsored)) / P(Favorable)

P(Favorable | Industry-sponsored) = 0.65

P(Industry-sponsored) = 65/100

P(Favorable) = 0.587

P(Industry-sponsored | Favorable) = (0.65 * (65/100)) / 0.587 ≈ 0.719 or 71.9%

Similarly, if a randomly selected participant found the product unfavorable, we can use Bayes' theorem to calculate the probability that the study had no industry funding given this unfavorable response. The calculation is:

P(No industry funding | Unfavorable) = (P(Unfavorable | No industry funding) * P(No industry funding)) / P(Unfavorable)

P(Unfavorable | No industry funding) = 0.36

P(No industry funding) = 35/100

P(Unfavorable) = 1 - P(Favorable) = 1 - 0.587 = 0.413

P(No industry funding | Unfavorable) = (0.36 * (35/100)) / 0.413 ≈ 0.305 or 30.5%

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Answer: I would say about $2.06 when rounded

Step-by-step explanation:

18.79/9.1=~$2.06

A power series for the function, centered at 0 is ∫(1 + x + x² + x³ + ...) dx = x + (1/2)x² + (1/3)x³ + (1/4)x⁴ + .... The interval of convergence for the power series representation of ln(x + 1) is [-1, 1) in interval notation, which means that the series converges for -1 ≤ x < 1.

To find a power series representation for the function f(x) = ln(x + 1), we'll start by integrating the power series representation of 1/(1 + x), which is the geometric series:

1 + x + x² + x³ + ...

Integrating each term of the series, we obtain:

∫(1 + x + x² + x³ + ...) dx = x + (1/2)x² + (1/3)x³ + (1/4)x⁴ + ...

Now, let's determine the interval of convergence for this power series. The original series for 1 + x converges when |x| < 1. When we integrate each term, the interval of convergence may change, so we need to check for convergence of the integrated series.

To determine the new interval of convergence, we'll use the ratio test. Let's denote the new power series as g(x):

g(x) = x + (1/2)x² + (1/3)x³ + (1/4)x⁴ + ...

Using the ratio test, we evaluate the limit:

lim(n→∞) |(a_{n+1}) / (a_n)| = lim(n→∞) |((1/(n+2))xⁿ⁺²) / ((1/(n+1))xⁿ⁺¹)| = |x| lim(n→∞) ((n+1)/(n+2))

Taking the limit of the above expression, we find:

lim(n→∞) ((n+1)/(n+2)) = 1

Therefore, the ratio test gives a limit of 1, which means that the radius of convergence of the integrated series is also 1.

Now, we need to check the endpoints of the interval -1 and 1. For x = -1, we have:

g(-1) = -1 + (1/2)(-1)² + (1/3)(-1)³ + (1/4)(-1)⁴ + ...

     = -1 + (1/2) - (1/3) + (1/4) - ...

This is the alternating harmonic series, which converges to ln(2). Hence, the series converges at x = -1.

For x = 1, we have:

g(1) = 1 + (1/2)(1)² + (1/3)(1)³ + (1/4)(1)⁴ + ...

    = 1 + (1/2) + (1/3) + (1/4) + ...

This is the harmonic series, which diverges. Hence, the series does not converge at x = 1.

Therefore, the interval of convergence for the power series representation of ln(x + 1) is [-1, 1) in interval notation, which means that the series converges for -1 ≤ x < 1.

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The list which orders the numbers from least to greatest is π, √15, 4.1, 4. 85, √30.

To find the list which orders the numbers from smallest to largest we need to find the values of the respective numbers,

In the first list, we have the numbers √13, 2.1, 5.4, √/17, π. The value of √13 = 3.6 and the next term is 2.1. As 2.1 < 3.6, the list does not arrange numbers in increasing order.

In the second list, we have the numbers π, 3.2, 6.3, √17, √20. The value of π is 3.14 and the next terms are 3.2 and 6.3 which are more than the former. But the value of √17 is 4.1 which is less than the previous number 6.3.

In the third list,√23, 2.6, 1.3, √30, π the numbers are not arranged in increasing order as √23's value is 4.8 more than the second number.

In the fourth list, π,√15, 4.1, 4. 85, √30 the numbers are arranged in increasing order when calculated. The value of π is 3.1, of √15 is 3.8, then there are 4.1 and 4.85, and at last, is √30 whose value is 5.5.

Hence, π <√15 < 4.1 < 4. 85 <√30 is the list in the increasing order.

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D. The solution of the quadratic equation using completing the square method is x = 7 ±√3.

Completing the square method is one of the methods to find the roots of the given quadratic equation.

In completing the square method, we have to convert the given equation into a perfect square.

The given quadratic equation;

x² - 14x + 46 = 0

collect similar terms together;

x² - 14x = -46

take half of coefficient of "x", square it and add it to both sides of the equation.

(x - 7)² = -46 + 49

(x - 7)² = 3

take square root of both sides

x - 7 = ±√3

add "7" to both sides of the equation

x = 7 ±√3

Thus, the solution of the quadratic equation using completing the square method is x = 7 ±√3.

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Answer:

x = 112°

Step-by-step explanation:

To find the value of x, you need to understand the properties of vertical and supplementary angles and know that the sum of angles inside a triangle is 180°.

The total amount of money spent/ amount of friends

Step-by-step explanation:

52/4

Answer:

4x = 52

Step-by-step explanation:

Let's say the cost of the ticket is represented by the variable x.

If 4 friends each went to the movies, and the tickets cost $52, that means

x + x + x + x = 52

Simplifying this, we get

4x = 52

If you want to solve for the cost of each ticket, divide both sides by 4.

After doing this, we get

x = $13

I hope this helps!

A line graph is used when an independent variable is a continuous quantitative variable. A line graph is a type of chart used to represent data over time with the help of lines connecting various data points.

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To completely recharge a 1.5-volt cell, each electron in the cell must be

supplied with a minimum energy of 2.403 × 10^-19 joules.

To completely recharge a 1.5-volt cell, each electron in the cell must be

supplied with an energy greater than or equal to the potential difference of

the cell, which is 1.5 volts.

The minimum energy required to supply to each electron can be

calculated

using the formula:

E = qV

where E is the energy in joules (J), q is the charge of an electron (1.602 ×

10^-19 coulombs), and V is the potential difference in volts.

Substituting the given values, we get:

\(E = (1.602 × 10^-19 C) × (1.5 V)E = 2.403 × 10^-19 J\)

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Answer:

C: 1 Quart

Step-by-step explanation:

2 pints are the equivalent of 1 quart

Answer:1 Quart

Step-by-step explanation: Because 2 pints equals=1 quart

Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

Alexander can conclude that the inconstancy (spread) of the information in one dataset is twice as much as the changeability of the information within the other dataset.

The mean absolute deviation (MAD) could be a degree of inconstancy that depicts the normal separation between each information point and the cruelty of the dataset. The bigger the Frantic esteem, the more spread out the information is. The proportion of the implies to MADs of two datasets can be utilized to compare their spread.

In this case, the proportion of implies to MADs is 2.1. This implies that the cruelty of one dataset is 2.1 times bigger than the Frantic of that dataset, whereas the cruelty of the other dataset is as if it were 1 times bigger than its Frantic. Hence, the dataset with the bigger proportion (2.1) encompasses a bigger spread (inconstancy) compared to the other dataset.

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D is correct :)

The bunnies are multiplying by 5 each time. The exponent will have the growth be 5 times the product before.

Hope this helps :)

Answer:

the 4th answer is correct

Step-by-step explanation:

although technically, we don't have enough information, it's the only one that it could be.

Answer:

Step-by-step explanation:

to the rieft

Answer: 2417

Step-by-step explanation: 12% is a percentage, meaning it's out of 100. Revert the percentage into its decimal form. The decimal form is .12

Now, multiply the decimal form by 20142, which gets your answer to 2417.04, rounded to 2417.

The slope of the tangent to the curve y = x^2 at the point with an x-coordinate of 3 is 6.

To determine the slope of the tangent to the curve y = x^2 at a specific point with an x-coordinate, we need to find the derivative of the function y = x^2. The derivative represents the rate of change of the function at a given point and can be used to calculate the slope of the tangent line.

Taking the derivative of y = x^2 with respect to x, we apply the power rule: d/dx(x^n) = n*x^(n-1). For y = x^2, the derivative is dy/dx = 2x.

Now, when we have the derivative 2x, we can substitute the x-coordinate of the point of interest into the derivative. The resulting value will be the slope of the tangent line at that point.

For example, if the x-coordinate is 3, substituting x = 3 into the derivative 2x gives us a slope of 2 * 3 = 6.

Therefore, the slope of the tangent to the curve y = x^2 at the point with an x-coordinate of 3 is 6.

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a.)The probability of getting a sum which is a multiple of 3 = 1/3

b.)The probability of getting a sum which is a multiple of 4 = 1/4

To calculate the probability of the given event, the formula that should be used is given as follows;

Probability = possible event/sample space.

For a.)

sample space = 36

possible event = 12

probability = 12/36 = 1/3

For b.)

sample space = 36

possible event = 9

probability = 9/36 = 1/4

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Answer:

subtract 140 from 166

Step-by-step explanation:

Answer:

18 hrs

Step-by-step explanation:

6hrs is 25%, so 6 times 3 is 18, Hope This Helps!

75% of a 24-hour day is 18 hour.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

75% of a 24-hour day

let 75% of 24 hour day be x.

So, 75% of 24 = x

x= 75/100 x 24

x= 3/ 4 x 24

x= 18 hours

Hence, 75% of a 24-hour day is 18 hour.

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One of the areas of Statistical Methods is forecasting (making future predictions), which also includes computing regressions and determining the theoretical validity.

Naive forecasting, which repeats the present datum into future periods, is one of the statistical methods used in predicting. It can be used to generate sample predictions, after which one can compare other methods' results.

Methods-

Moving Average

Exponential Smoothing

Autoregressive Moving Average

Therefore, since it doesn't provide an exact model, this applies to time series where all that is required is some basic data.

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Answer:

5 up and 2 to the right

Step-by-step explanation:

The center will be at the same spot as circle D, dilate by 3, then the dilation maps circle C into circle D.

Answer:

357.46 meters squared

Step-by-step explanation:

16 x 12.2 x 1/2 = 97.6

12.2 x 10.6 = 64.66

97.6 x 3 = 292.8

292.8 + 64.66 = 357.46

To find the value of x, we can set up a proportion based on the distances traveled by the fox and the eagle.The value of x is 6 meters.

Let's consider the distance traveled by the fox. It starts at the top of the cliff, which is 6 meters high, and descends to point A on the ground, which is at a distance of 10 meters from the base of the cliff. Therefore, the total distance traveled by the fox is 6 + 10 = 16 meters.

Now, let's consider the distance traveled by the eagle. It starts at the top of the cliff and flies vertically up to a height of x meters. Then, it flies in a straight line to point A on the ground. The total distance traveled by the eagle is x + 10 meters.

Since the distance traveled by each is the same, we can set up the following proportion:

6 / 16 = x / (x + 10)

To solve this proportion, we can cross-multiply:

6(x + 10) = 16x

6x + 60 = 16x

60 = 16x - 6x

60 = 10x

x = 60 / 10

x = 6

Therefore, the value of x is 6 meters.

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Answer:

by increasing the size ez