6x 40 =(6x10)+(6x10)+(_x_)

11 1/4

Step-by-step explanation:

the yards have to be converted to feet

1 yards = 3 feet

5 yards x 3 = 15 feet

Area of a rectangle = length x width

15 x 2 1/4

15 x 9/4 = 33 3/4

33 3/4 x 1/3 = 135 /12 = 11 1/4

The range of the function is: [-6, ∞).Therefore, the domain of the function is (-∞, ∞) and the range of the function is [-6, ∞).

Given the minimum = −6 at x = 6, we can say that the vertex of the parabola is at (6, −6). Also, we know that the given function is quadratic and the equation of the quadratic function can be expressed asy = ax2 + bx + c. The given quadratic function has a minimum value, which means that the coefficient of x2 (a) is positive. Therefore, the quadratic function is a upward parabola, which opens upwards and has a minimum value.

In this case, we know that minimum = −6. Hence, the vertex form of the equation can be written as follows:

Now, we need to determine the values of a, the coefficient of (x - 6)2. To do that, let's use another point on the parabola. For example, we can use the point (0, 18) to determine the value of a.

Substitute the point (0, 18) in the vertex form equation and solve for a as follows:

18 = a(0 - 6)

2 - 6 => 24 = 36

a => a = 24/36 => a = 2/3

Hence, the equation of the quadratic function is:

Now we can determine the domain and range of the quadratic function:

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Answer:

I solved it and my answer is - 2

Step-by-step explanation:

5x+6=8x+12

5x-8x =12 - 6

-3x =6

Divide by - 3

X=-2

Answer: \(5^{\circ}\)

Step-by-step explanation:

Given

\(\angle DIE=(18x-2)^{\circ}\\\angle DIH=15^{\circ}\\\angle FIG=103^{\circ}\)

from the figure

\(\angle HIE=\angle GIF\quad [\text{vertically opposite angles}]\\\angle HID+\angle DIE=\angle GIF\\15^{\circ}+(18x)^{\circ}-2^{\circ}=103^{\circ}\\(18x)^{\circ}=103^{\circ}-13^{\circ}\\\\x=\dfrac{90^{\circ}}{18}\\\\x=5^{\circ}\)

The calculated Total Revenue = ∫[0, ∞] (39t + 73) * 350 *\((0.9)^t dt\)

(a) To find a formula for the annual revenue per cell phone user R(t), we start with the initial revenue per user in 2000, which is $350.

We know that the revenue per user decreases continuously at an annual rate of 10%.

Therefore, the formula for the revenue per user can be expressed as:

\(R(t) = 350 * (0.9)^t\)

where t represents the number of years since 2000.

(b) To estimate the total revenue from 2000 indefinitely, we need to integrate the revenue per user over time. Using the formula obtained in part (a), we can integrate it with respect to t:

Total Revenue = ∫[0, ∞] N(t) * R(t) dt

Since N(t) is given as N(t) = 39t + 73 million subscribers, we substitute it into the integral:

Total Revenue = ∫[0, ∞] (39t + 73) * R(t) dt

Total Revenue = ∫[0, ∞] (39t + 73) * 350 *\((0.9)^t dt\)

Evaluating this integral would provide the estimated total revenue from 2000 into the indefinite future. However, without a specific upper limit for integration, we cannot obtain a numerical result.

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The conclusion of question as discuss below.

The mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by adding up all the values in the set and then dividing by the total number of values.

Based on the given information, we can say that there is a 95% chance that the true difference (a - b) in the mean weight of the bean burritos between Restaurant A and Restaurant B falls within the interval 0.06 ounce to 0.20 ounce.

Since the confidence interval does not include zero, we can conclude that there is a statistically significant difference between the mean weights of the bean burritos at the two restaurants. Specifically, we can say that the mean weight of the bean burritos at Restaurant A is likely to be heavier than the mean weight of the bean burritos at Restaurant B.

However, it's important to note that we cannot determine the magnitude of the difference or the direction of causation (i.e., whether Restaurant A intentionally makes their burritos heavier or whether they use different ingredients that naturally result in heavier burritos).

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We can infer that there is a statistically significant difference among the mean weights of the bean burritos at the two eateries because the confidence interval does not include zero.

The mean, which reflects the average value of a group of numbers, is a metric of central tendency. It can be calculated by adding up all of the values in the collection, dividing by the total number of values, and then taking the remainder away.

Based on the information provided, we can state that there is a 95% chance that the actual difference (a - b) between Restaurant A and

Restaurant B's mean weight of the bean burritos will lie between 0.06 ounce and 0.20 ounce.

We can infer that there is a statistically significant variance among the mean weights of the bean burritos at the two eateries because the confidence interval does not include zero. We can specifically state that the bean burritos' average weight at Restaurant A is probably heavier than the average bean burrito's weight at Restaurant B.

It's crucial to remember that we cannot establish the size of the difference or the causal relationship. (i.e., whether Restaurant A intentionally makes their burritos heavier or whether they use different ingredients that naturally result in heavier burritos).

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The 95% confidence interval for the mean number of books people read in the past year is (9.508, 11.492).

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.

To construct a 95% confidence interval for the mean number of books people read in the past year, we can use the following formula:

CI = x ± t*(s/√n)

Where x is the sample mean, s is the sample standard deviation, n is the sample size, t is the t-score with (n-1) degrees of freedom and a 95% confidence level.

The sample mean (x) is given as 10.5, the sample standard deviation (s) is 16.6, and the sample size (n) is 1018.

We can find the t-score for a 95% confidence level and (n-1) degrees of freedom using a t-table or a calculator, and in this case, it is approximately 1.962.

Plugging in the values, we get:

CI = 10.5 ± 1.962*(16.6/√1018)

= 10.5 ± 0.992

Therefore, the 95% confidence interval for the mean number of books people read in the past year is (9.508, 11.492).

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The corresponding CDF is:F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6.

The value of the constant A can be obtained by using the normalization condition that the integral of the PDF function over the entire possible range of X must be equal to 1. So, we can write the following integral to solve for

A:(∫f(x) dx) from 0 to π/2=∫A sin(x) dx= A [-cos(x)] evaluated at π/2 and 0= -A(cos(π/2) - cos(0))= A (1 - 0) =1. Therefore, the value of the constant A is 1. b. The CDF of the given random variable X is given as follows:

F(x)=∫f(x)dx from 0 to x, for 0 < x < π/2=∫sin(x) dx from 0 to x= [-cos(x)] evaluated at x and 0= -cos(x) - (-cos(0))= 1 - cos(x) for 0 < x < π/2=1 for x ≥ π/2. So, the corresponding CDF is as follows:

F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X can be obtained using the following formula:

E(X) = ∫xf(x)dx from 0 to π/2=∫x sin(x) dx from 0 to π/2= [-x cos(x)] evaluated at π/2 and 0 - ∫-cos(x) dx from 0 to π/2= -0 + cos(0) - ([-cos(x)] evaluated at π/2 and 0)= 0 + 1 - (-1)= 2. So, the expected value of the given random variable X is 2.

d. The variance of the given random variable X can be obtained using the following formula:

Var(X) = E(X²) - [E(X)]²=∫x² f(x)dx from 0 to π/2 - [E(X)]²=∫x² sin(x)dx from 0 to π/2 - (2)²= [-x² cos(x)] evaluated at π/2 and 0 + ∫2x cos(x)dx from 0 to π/2 - 4= -0 + π²/4 - 4 + (2 sin(x) + 2x cos(x)) evaluated at π/2 and 0= π²/4 - 2 - 4 + 2 + 2π= π²/4 + 2π - 6. So, the variance of the given random variable X is π²/4 + 2π - 6

Hence, the answer is: a. The value of the constant A is 1.b. The corresponding CDF is : F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6

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Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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Answer:

Jingle's breakeven point is achievable if 4000 units are sold.

Step-by-step explanation:

Answer:

833884+84383÷8388383388338

Step-by-step explanation:

09

09

m÷5

Answer:

2

Step-by-step explanation

-7p = -3p -8

Move variable to left-hand side

-7p + 3p= -8

Collect like terms

-4p = -8

Divide both sides by 4

p = 2

The probability of the complementary event is 0.492. Option a is correct.

The probability of the complementary event, denoted as P(A'), is equal to 1 minus the probability of event A.

P(A') = 1 - P(A)

In this case, we are given that P(A) = 0.508. To find the probability of the complementary event, we subtract the probability of event A from 1. Therefore, we can calculate the probability of the complementary event as:

P(A') = 1 - 0.508 = 0.492

Therefore, the probability of the complementary event is calculated as 1 - 0.508 = 0.492.

Hence, the correct answer is A. 0.492.

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The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)

A function is a rule that relates two variables.

Let us check the x-intercept, y-intercept, and maximum value for each function.

1)y =-3Sin(x)

for x-intercept put y=0

0 = -3Sin(x)

Sin(x) =0

x=0

for y-intercept put x=0

y=-3Sin0

y=0

The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3

Similarly, for y = -3cos(x)

x-intercept =π/2

y-intercept = 3

Maximum value of function = lower limit  of the range of  3cos(x) i.e. 3

Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)

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Answer:

B.    y = –3cos(x)

Step-by-step explanation:

Im extremely sure, have a great day

True. The null hypothesis (denoted as H0) is a statement about a population parameter, typically a population mean or proportion, and it is formulated based on the assumption that there is no effect, relationship, or difference in the population.

However, in statistical hypothesis testing, data is often collected from a sample, not the entire population, due to practical limitations.

The sample data is then used to assess the evidence against the null hypothesis.

The null hypothesis is always stated in terms of the population, even though the data being analyzed comes from a sample.

Answer:

x-12

Step-by-step explanation:

(x+12)*(x-12)

x*x=x²

12x-12x=0

12*-12=-144

True. It is possible for a small treatment effect to still be statistically significant if the sample size is large enough.

We have,

Statistical significance is determined by the p-value, which measures the probability of obtaining the observed results if the null hypothesis (no difference between groups) is true.

A small treatment effect may still produce a low p-value if the sample size is large enough to detect even small differences.

However, the clinical significance of the treatment effect should also be considered in addition to statistical significance.

Thus,

It is possible for a small treatment effect to still be statistically significant if the sample size is large enough.

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Answer:

-7

Step-by-step explanation:

Hope it helped

!!!!!!

Answer:

16x2+16x3-10=w

32+48-10

80-10=

70

Answer:

ooh another quintessential quintuplets fan pfp I see

\(\boxed{\sf Mean=\dfrac{Sum\:of\:terms}{No\:of\:terms}}\)

\(\\ \sf\longmapsto Mean=\dfrac{12+19+38+52+55}{5}\)

\(\\ \sf\longmapsto Mean=\dfrac{176}{5}\)

\(\\ \sf\longmapsto Mean=35.2\)

Answer:

-7/4

Step-by-step explanation:

2x+10-3=-2x-1+1

2x+7=-2x

7=-4x

-7/4=x

Answer:

hope this will help you

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The nine principles of inference are logical guidelines that let us draw reasonable conclusions from a set of assertions or propositions

So the nine principles of inference are logical guidelines that let us draw reasonable conclusions from a set of assertions or propositions. These guidelines are frequently used in mathematics, philosophy, and computer science to establish the veracity of claims or create new assertions from preexisting ones. These are the nine inference rules:

Modus Ponens (MP) states that if p implies q and p is true, q must also be true.

Modus Tollens (MT) states that if p implies q but q is untrue, then p is untrue.

Hypothetical Syllogism (HS): P implies R if and only if P implies Q and Q implies R.

Disjunctive Syllogism (DS): If p or q and p are both true, then q is true.

When adding (ADD), if p is true, p or q and these guidelines are frequently used in mathematics, philosophy, and computer science to establish the veracity of claims or create new assertions from pre existing ones. These are the nine inference rules.

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The perimeter of the triangle is 23 ft.

We have,

We can use the triangle inequality theorem to check whether this triangle can exist.

According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Let's check whether this condition holds for the sides given:

5 + 7 = 12, which is greater than 11, so the condition holds.

5 + 11 = 16, which is greater than 7, so the condition holds.

7 + 11 = 18, which is greater than 5, so the condition holds.

Therefore, this triangle can exist.

To find the perimeter of the triangle, we simply add up the lengths of the three sides:

Perimeter = 5 + 7 + 11 = 23 ft

Therefore,

The perimeter of the triangle is 23 ft.

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The triangle inequality theorem states that a triangle with sides of 5, 7, and 11 feet is feasible.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Any two triangle sides' lengths added together must be bigger than the third side's length.

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Step-by-step explanation:

it is a quadratic function

it is because it satisfies the equation f(x)= -3-5x+4x^2

Step-by-step explanation:

n(-2) = -1 -(-2) + 4 = -1 + 2 +4 = 5

n(0) = -1 -0 +4 = 3

n(5) = -1 -5 +4 = -2

The answer is true.

\(density \: = \frac{mass}{volume} \)