Which of the following is true for f(x) = –2sin(x) – 3? the range of the function is the set of real numbers negative 2 less-than-or-equal-to y less-than-or-equal-to 2. the graph of the function is the graph of f(x) = –2sin(x) shifted 3 units up. the amplitude of the function is 2. the period of the function is 4 pi.

The probability of drawing a pair when selecting three cards at random from a standard 52-card deck is approximately 0.1694, or about 16.94%.

To calculate the probability of drawing a pair of cards from a standard 52-card deck when selecting three cards at random, we need to consider the number of favorable outcomes (pairs) and the total number of possible outcomes.

First, let's determine the number of favorable outcomes. For a pair, we need two cards of the same rank (e.g., two 7s, two Queens, etc.) and any third card that is different from the pair.

The number of ways to choose a rank for the pair is 13 (one for each rank). For each rank, there are four cards of that rank in the deck. Therefore, the number of ways to select two cards of the same rank is given by:

Number of ways to choose a pair = 13 * (4 choose 2) = 13 * 6 = 78

After selecting the pair, there are 50 cards remaining in the deck. The third card must be of a different rank from the pair. There are 48 cards remaining with different ranks from the pair.

Therefore, the number of favorable outcomes (pairs) is 78 * 48 = 3,744.

Next, let's calculate the total number of possible outcomes when selecting three cards from a standard deck. The total number of ways to choose any three cards from 52 cards is given by:

Total number of possible outcomes = (52 choose 3) = 22,100

Finally, we can calculate the probability of drawing a pair:

Probability of drawing a pair = Number of favorable outcomes / Total number of possible outcomes

= 3,744 / 22,100

≈ 0.1694

Therefore, the probability of drawing a pair when selecting three cards at random from a standard 52-card deck is approximately 0.1694, or about 16.94%.

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Answer:

y = 90

Step-by-step explanation:

A direct variation is

y = kx where k is a constant

30 = k(-3)  from the first set of points

30/-3 = -3k/-3

-10 = k

The equation is y = -10x

Let x = -0

y = -10 * -9

y = 90

The velocity at end of 1.51 s is 6.9 m/s and velocity at end of 2.86 s is 24.64 m/s.

A. F = ma, where F is force, m is mass and a is acceleration.

a = 2.65/0.58

Performing division

a = 4.57 m/s²

v = u + at, where v and u are final and initial velocity, a is acceleration and t is time.

v = 4.57×1.51

Performing multiplication

v = 6.9 m/s.

B. New acceleration = 3.60/0.58

Performing division

New acceleration = 6.2 m/s²

v = u + at

v = 6.9 + 6.2×2.86

Performing multiplication

v = 6.9 + 17.75

Performing addition

v = 24.64 m/s.

The velocity at two positions are 6.9 m/s and 24.64 m/s.

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The statement "the sum of the percent frequencies for all classes in a frequency distribution will always equal" is True.

The sum of the percent frequencies for all classes in a frequency distribution will always equal 100%. This is because the percent frequency for each class is calculated by dividing the frequency of that class by the total number of observations and then multiplying by 100. Therefore, when we add up all the percent frequencies for all the classes, we get the total percentage of observations, which must be 100%.

In a frequency distribution, percent frequencies are calculated by dividing the frequency of each class by the total number of observations and then multiplying by 100. Since all observations are accounted for in the distribution, the sum of the percent frequencies for all classes will always equal 100%.

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Answer:

Im really sorry if this is wrong, i'm just trying to help cause everyone is giving you fake answers

I think the answer may be 336/55

(Decimal: 6.10909)

Step-by-step explanation:

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:

9 -- B

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

The average rate of change for the interval from x = 5 to x = 6 is - 22.

A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.

Since, the quadratic function has a vertex at (1, 2),

Hence, the equation for the function can be written in vertex form as:

⇒ y = a(x - 1)² + 2

Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola.

Let's use the point (2, 1):

1 = a(2 - 1)² + 3

1 = a + 3

a = - 2

So, the equation for the quadratic function is:

y = -2x² + 2

Now we can use this equation to find the average rate of change between x = 5 and x = 6. The value of the function at x = 5 is:

y = - 2 x 25 + 2 = - 48

The value of the function at x = 6 is:

y = -2 x 36 + 2 = - 70

The average rate of change between x = 5 and x = 6 is:

(y₂ - y₁) / (x₂ - x₁) = (- 70 - (-48)) / (6 - 1) = - 22

Therefore, the average rate of change for the interval from x = 5 to x = 6 is - 22

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Answer:

51

4

Step-by-step explanation:

15

2

+

21

4

it will take Shannon about 80 months for her money to double if she deposits it into a savings account that earns 10.99% interest compounded quarterly.

Shannon's funds will double in value during the following period of time, according to the quarterly compound interest formula:

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

where n is the number of times interest is compounded each year, r is the yearly interest rate, P is the principal amount, A is the amount after t years, and t is the amount of time in years.

Shannon currently has P/2 dollars, which is half of what she needs. Finding t when A = 2P will help us determine how long it will take for her money to double.

We are aware that n = 4 and r = 10.99%. (since interest is compounded quarterly). Solving for t using these values as input results in:

\(2P = P/2(1 + 0.1099/4)^{(4t) }\\4 = (1 + 0.1099/4)^{(4t)} log(4) \\= 4t log(1 + 0.1099/4)^ t = log(4)/(4 log(1 + 0.1099/4))\)

t ≈ 6.7 years

Rounding this to the nearest month gives:

t ≈ 80 months

Therefore, it will take Shannon about 80 months for her money to double if she deposits it into a savings account that earns 10.99% interest compounded quarterly.

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The ratio of the distance traveled to the amount of time spent traveling may be used to calculate speed.

The average speed of the aircraft when it first takes off is roughly 110.8 mph

Generally, 145 miles separate Portland, Oregon, and Seattle, Washington. This is the distance between the two cities.

The reduction in travel time that results from an increase in speed of 20 miles per hour is equal to minutes.

The required beginning speed of the aircraft, denoted by the letter v;

t=145/v

t-(12/60)=45/v+20

Therefore;

\(\frac{145}{v}-\frac{12}{60}=\frac{145}{v+20}\)

Which gives;

\(\frac{145}{v+20}-\frac{145}{v}+\frac{12}{60}=0\)

Therefore;

0.2·v² + 4·v - 2,900 = 0

v ≈ ±110.8 mph

The initial average speed of the airplane,

v≈ ± 110.8 mph

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Answer:

The answer is 6

Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.

Indeed, If you multiply 2 by 42 you'll get 4.

Of course, if a number is n× larger than another, then this other is n× smaller than the first one.

It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.

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For the two lines to be parallel, the value of n must be 3

When two straight lines are plotted on the coordinate plane, we can tell if they are parallel from the slope, of each line. If the slopes are the same then the lines are parallel.

The slope of each line is calculated as (y2-y1)/x2-x1

for line AB, the slope = (6n-n)/10-4 = 5n/6

for line CD, the slope= 8n-(-6)/9-(-3)=( 8n+6)/12

for AB and CD to be parallel,

5n/6 = (8n+6)/12

multiply both sides by 12

10n= 8n+6

collect like terms

10n-8n= 6

2n= 6

n= 6/2= 3

therefore for the value of n= 3 line CD and AB are parallel.

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Answer:

C.      did the assignment

Step-by-step explanation:

edge 2021

Answer:

C. Tetrapod, vertebrae

Step-by-step explanation:

a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

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

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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Answer:

y = 3/4( x+5)( x+4) ( x-1)

Step-by-step explanation:

The formula for the polynomial is

y = c( x- a1)( x- a2) ( x-a3)  where c is a constant and a1,a2,a3 are the zeros

We have zeros -5,-4 and 1

y = c( x- -5)( x- -4) ( x-1)

y = c( x+5)( x+4) ( x-1)

We have a y intercept of -15

That means x=0 and y = -15

-15 = c ( 0+5)( 0+4) ( 0-1)

-15 = c( 5) ( 4) (-1)

-15 = c( -20)

Divide each side by -20

-15/-20 = c

3/4 =c

The equation is

y = 3/4( x+5)( x+4) ( x-1)

Answer:

Step-by-step explanation:

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Let's evaluate :

Answer:

3.2

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator: 3 × 5 = 15.

Step 2: Add the product you got in Step 1 to the numerator: 15 + 1 = 16.

Step 3: Divide the sum from Step 2 by the denominator: 16 ÷ 5 = 3.2. That's it folks!

Answer:

3.2

Step-by-step explanation:

Step 1: divide numerator (1) by the denominator (5): 1 ÷ 5 = 0.2. Step 2: add this value to the the integer part: 3 + 0.2 = 3.2. So, 3 1 / 5 = 3.2.

Answer:

Below

Step-by-step explanation:

Domain    'x' can be any value except 10 <====which would make the denominator = 0 which is not allowed

   (-∞, 10 )  U (10 , +∞)

Range :   horizontal asymptote    the degree of the numerator and the denominator is the same : 1     so the horizontal asymptote will be

          3 / -1 = -3    ( The coefficients of 'x' in the num and den)

   the vertical asymptote occurs at x = 10 ...then the value of y goes to + inf

        so range is   ( -3, +∞)

Inverse Does exist , switch x's and y's in the original equation

   x = (3y+1) / (10-y)     now solve for   y

     and you will get  f^-1 (x) = (10x-4) / (x+3)

Here is graph of f(x) , f^-1(x)   and  x=y :

| 5 -4 -6 | -3 |

| 1  -3   1 | -1 |

|-3 -6  7 |  1 |

is the augmented matrix for given system of equations.

What is augmented matrix?

An augmented matrix is a matrix that represents a system of linear equations by having the coefficients of the variables and the constants on the right side in a single matrix.

It is obtained by placing the coefficients of each equation in a row and placing the constant term at the end of the row. The vertical bar in the matrix separates the coefficient matrix and the constant terms. For example, the augmented matrix for the system of equations:

5x - 4y - 6z = -3

x - 3y + z = -1

-3x - 6y + 7z = 1

would be:

| 5 -4 -6 | -3 |

| 1  -3   1 | -1 |

|-3 -6  7 |  1 |

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Step-by-step explanation:

\(a) \: - \frac{3}{7} a \: \: \times \: - \frac{21}{15} b\)

\( = \frac{ 3}{5} ab \: (ans)\)

\(b) \: 3xy(5 {x}^{2} {y}^{2} - 4yz)\)

\( = 3xy \times 5 {x}^{2} {y}^{2} - 4yz \times 3xy\)

\( = 15 {x}^{3} {y}^{3} - 12x {y}^{2} z \: (ans)\)

The angle between sides GM and MT is ∠M.

The 2 sides that include ∠T are MT and GT.

The angle between sides GT and MG is ∠G.

There's not much to say about this, but I can answer questions if you have any.

Answer:

The answer would Be B

Step-by-step explanation:

The probability of the center of a circle being contained within a randomly formed triangle using three points along its perimeter is 1/4 or 25%. This probability remains the same for any size of the circle.

The probability that the center of the circle is contained within the triangle formed by selecting three random points along its perimeter is 1/4 or 25%. This is because any triangle that contains the center of the circle must have all of its vertices on the circumference of a smaller circle with half the radius of the original circle. The probability of selecting three random points on the circumference of this smaller circle is 1/4 or 25%.

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In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable, which is manipulated in order to observe its effect on the dependent variable.

In the analysis of variance procedure (ANOVA), factor refers to:
b. the independent variable

In ANOVA, a factor is an independent variable that is manipulated or controlled to investigate its effect on the dependent variable. Different levels of a factor represent the variations in the independent variable being tested. The different levels of a treatment are often created by manipulating the factor.
In contrast, independent variables are not considered dependent on other variables in various experiments. [a] In this sense, some of the independent variables are time, area, density, size, flows, and some results before the affinity analysis (such as population size) to predict future outcomes (dependent variables).

In both cases it is always a variable whose variable is examined through a different input, statistically also called a regressor. Any variable in an experiment that can be assigned a value without assigning a value to another variable is called an independent variable.

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It will take 10 years for the account to reach $200, as determined by solving the equation A = \(325(1 + 0.047/12)^(12t)\) for t.

\(A = 325(1+0.047/12)^(12t)\)

\(200 = 325(1+0.047/12)^(12t)\)

\(200/325 = (1+0.047/12)^(12t)\)

\(log_((1+0.047/12))(200/325) = 12t\)

\(t = log_((1+0.047/12))(200/325) / 12\)

t = 8.75 years

It will take 9 years for the account to reach $200.

Hassan deposited $325 into an account that pays 4.7% annual interest compounded monthly. We can use a system of equations to determine how many years it will take for the account to reach $200. To do this, we first write an equation to represent Hassan's account balance A after t years. This equation is\(A = 325(1+0.047/12)^(12t)\). We then solve for t by taking the logarithm of both sides, which gives us means that it will take 8.75 years for the account to reach $200, which we round up to 9 years.

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The equation of the surface in spherical coordinates is r cos φ = 9.

(a) To find an equation of the surface in cylindrical coordinates, we can use the conversion formulae;

x = r cos θ, y = r sin θ, and z = z.r = √(x² + y²)

The equation of the surface is given by:

z = 3x² + 3y²

And the equation of the surface in cylindrical coordinates can be written as:

r² cos² θ + r² sin² θ

= 4z = 3x² + 3y²

= 3r² cos² θ + 3r² sin² θ

= 3r²(r² cos² θ + r² sin² θ) = 12

= r² = 12/3= r² = 4

Therefore, the equation of the surface in cylindrical coordinates is r² = 4.

(b) To find an equation of the surface in spherical coordinates, we use the conversion formulae;

x = r sin φ cos θy = r sin φ sin θz = r cos φ

The equation of the surface is given by:

z = 3x² + 3y²

And the equation of the surface in spherical coordinates can be written as:

r cos φ = 3r² sin² φ cos² θ + 3r² sin² φ sin² θ= 3r² sin² φ (cos² θ + sin² θ)

= 3r² sin² φ= 9

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Answer:

u=7

Step-by-step explanation:

19=5u-16

5u=19+16

5u=35

u=35/5

u=7

Answer:

The height of the base is 22.9 cm

Step-by-step explanation:

Mathematically, we have the volume of a cylinder as;

V = pi * r^2 * h

r = 4.3 cm

h = ?

1330.2 = 22/7 * 4.3^2 * h

h = (1330.2 * 7)/(22 * 4.3^2)

h = 22.90 cm