Find the area of the trapezoid. TOP 11ft, RIGHT4√3ft , BOTTOM 15ft ,LEFT 8ft

Answer:

8530

Step-by-step explanation:

The remainder is 5⁵ + 2(5)⁴ + 9(5)³ - 6(5)² + 3(5) + 3165 = 8530

Using it's concept, it is found that the probability that the button is either pink or blue is:

[tex]p = \frac{26}{29}[/tex]

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

There are six times as many pink buttons as yellow books, hence:

z = 6x.

Considering the ratio of yellow buttons to blue buttons, we have that:

[tex]\frac{x}{y} = \frac{3}{8}[/tex]

3y = 8x

[tex]y = \frac{8x}{3}[/tex]

The total number of buttons is given by:

[tex]T = x + \frac{8x}{3} + 6x[/tex]

[tex]T = \frac{29x}{3}[/tex]

The number of pink or blue is given by:

[tex]y + z = \frac{8x}{3} + 6x = \frac{26x}{3}[/tex]

Hence the probability is given by:

[tex]p = \frac{\frac{26x}{3}}{\frac{29x}{3}} = \frac{26}{29}[/tex]

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Answer:

Step-by-step explanation:

Comment

If 4 numbers have an average of 9, then total of the 4 numbers is 4 * 9 = 36.

If one of the 4 numbers is  a 7, then

7 + x = 36 where x is the sum of the other 3 numbers.

7 + x = 36           Subtract 7 from both sides

7- 7 +x = 36 - 7

x = 29

Answer 29

Answer:

2400 liters in tank

Step-by-step explanation:

Company A would take 260 minutes more than Company B for filling 2400 liters of water in Anil's tank when the rate at which Company A fills is 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.

Rate is the ratio of quantity to time.

[tex]RATE = \frac{QUANTITY}{TIME}[/tex].

In the question, we are asked to find the time which Company A takes more than Company B for filling a water tank of 2400 liters when Company A fills water at a rate of 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.

For Company A:

The capacity of the tank = 2400 liters

Rate = 8 liters in 1 minute and 40 seconds

Now, 1 minute and 40 seconds = 1 + 40/60 minutes = 1.67 minute

Therefore, the actual rate = 8/1.67 = 4.8 liters per minute.

Therefore, the time taken by Company A = 2400/4.8 minutes = 500 minutes.

For Company B:

The capacity of the tank = 2400 liters.

We know 1 gallon = 4.54 liters,

or, 1/4.54 gallons = 1 liter.

Therefore, the capacity of the tank = 2400 * (1/4.54) gallons = 528.634 gallons.

Rate = 2.2 gallons per minute.

Therefore, the time taken by Company B = 528.634/2.2 minutes = 240.288 minutes.

Therefore, the time that Company A takes more than Company B = 500 - 240.288 minutes = 259.712 minutes ≈ 260 minutes.

The given question is an incomplete question. The complete question is:

"A water tank is empty.

Anil needs to fill the tank with 2400 liters of water.

Company A supplies water at a rate of 8 liters in 1 minute and 40 seconds.

Company B supplies water at a rate of 2.2 gallons per minute.

1 gallon = 4.54 liters.

Company A would take more time to fill the tank than Company B would take to fill the tank.

How much more time?

Give your answer in minutes correct to the nearest minute."

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The confidence interval estimates that the confidence interval limits contain 0., suggesting that the garlic treatment did not affect the LDL cholesterol levels.

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95 percent confidence level is the most common, but other levels, like 90 percent or 99 percent, are occasionally used when computing a confidence interval.

Given in a test of effectiveness of garlic for lowering cholesterol, 50 subjects were treated with garlic in a processed tablet form.Both before and after the therapy, cholesterol levels were assessed.

LDL cholesterol variations had a mean of 4.4 and a standard deviation of 19.4 (in mg/dL). The best point estimate is 4.4.

We have to find 95% confidence interval estimate of the population mean

So,

x-bar = 4.4

ME = 1.96 = 5.27

H: no difference

Ha: is a difference

We fail to reject H since 0 is in the CI.

Hence the confidence interval estimates that the confidence interval limits contain 0., suggesting that the garlic treatment did not affect the LDL cholesterol levels.

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The probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it is 0.15866 ,  the minimum number for the upper quarter of the time to pass a kidney stone days is 14.4 .

Probability is the measure of likeliness of an event to happen

Let X denote the time to pass the kidney stone.

The random variable X follows normal Distribution

mean = 12 days days

standard deviation = 4 days

The distribution of X is  X - N ( 12 , 4)

The probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it is

P ( X > 16) = 1 - P( X ≤ 16)

= 1 - P( Z ≤ (16-12)/4)

= 1 - P ( Z ≤ 1 )

= 1 - 0.84134

= 0.15866

P( X < x₀) = 0.75

[tex]\rm P ( \dfrac{x - \mu }{\sigma} < \dfrac{x_0 -13}{6}) = 0.75[/tex]

[tex]\rm \phi (\dfrac { x_o - 12}{4}) = 0.75[/tex]

Using the excel function the z score for the area 0.75 is

z - score = 0.6745

[tex]\rm \dfrac {x_o - 12}{4} = 0.6745[/tex]

x₀  = 0.6 * 4 + 12

x₀ = 14.4

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Answer:

B. 1 / 4

Step-by-step explanation:

Step 1: We can turn 2 yards into 6 feet.

Step 2: Then we can turn 6 feet into 72 inches.

Step 3: We plug it into the ratio, getting 18 / 72.

Step 4: Simplify. We get 1 / 4 as the answer. Therefore, we choose B.

We will see that we have a shift of 9 units to the left and 6 units upwards

For any given function H(x), we define a vertical shift of N units as:

g(x) = H(x) + N.

While a horizontal shift is written as:

g(x) = H(x + N).

Here we know that:

f(x) = 3*|x + 9| + 6

If the original function was:

H(x) = 3*|x|

Then we can write:

f(x) = H(x + 9) + 6

So we have a shift of 9 units to the left and 6 units upwards.

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The value of a given that A = 63°, C = 49°, and c = 3 is 4 units

The given parameters are:

A = 63°, C = 49°, and c = 3

Using the law of sines, we have:

a/sin(A) = c/sin(C)

So, we have:

a/sin(63) = 3/sin(49)

Multiply both sides by sin(63)

a = sin(63) * 3/sin(49)

Evaluate the product

a = 4

Hence, the value of a is 4 units

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The degree of the provided polynomial is 18, and the leading term is √7.

It is defined as the combination of constants and variables with mathematical operators.

We have given an expression:

[tex]= \rm \sqrt{7}x ^{18} + 12.1x^{ 15} + \pi 4 x^ 6 + 1 9[/tex]

As we can see in the expression the greatest degree is 18.

So the degree of the polynomial is 18

And the coefficient of the variable which has a height degree is the leading term.

The leading term = √7

Thus, the degree of the provided polynomial is 18, and the leading term is √7.

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Answer:

G(x)=x³-1

because it intersect at the negative side of y

Answer:

g(x) = x³ - 1

(option C)

Step-by-step explanation:

We know that the shape of the graph has not changed, as stated in the question, meaning that the change has not happened as a direct change to x (like 2x³ instead of x³).

The entire graph has been moved down and not left/right, which would have happened inside the parenthesis (like g(x) = (x³ - 3)).

Because it has been shifted down (as evident by the y-intercept), and we know that the shape has not changed, we know that the original function was shifted down 1 --which can be expressed by the equation g(x) = x³-1

Answer:

Suad is 4.333 years old.

Step-by-Step explanation:

let x = Suad's age

let y = Deeqa's age

let z = Ahmed's age

y = 3x

z = 3y = 3(3x)

but z = 39

3(3x) = 39

x = 4.33333

Answer: $80

Step-by-step explanation:

Given:

The laptop consumes 40 watts/hour

The operating cost is $0.20 per kilowatt - hour

So,

The cost for 1 hour of consumption = 40 * 0.20 = $8

The cost for 10 hours of consumption = $8 * 10 hours = $80

The solution of the equation is x = -2±2i√2. The solution to the equation is found in the Sridharacharya formula.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given equation;

x² + 4x + 12 = 0

The solution to the equation is found as;

x² + 4x + 12 = 0

The solution to the equation is;

[tex]\rm x=-b \pm \frac{\sqrt{b^2-4ac}}{2a} \\\\ \rm x=-4 \pm \frac{\sqrt{4^2-4\times 4 \times 1}}{2\times 4} \\\\[/tex]

x = -2±2i√2

Hence the solution of the equation is x = -2±2i√2.

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Answer: 0.2 years

Step-by-step explanation:

umm....... I think it was exactly 2 head

Answer: 75

Step-by-step explanation:

For the lines to be parallel, this means the given angles have to be congruent (because then the lines will be parallel by the converse of the corresponding angles theorem)

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that none of the LED light bulbs are defective is 0.2213.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Given the probability of a bulb being a failure is 14%, therefore, the probability of bulb passing the quality check is 86%.

Let the probability of success be defined as 0.14 for binomial distribution, and the probability for failure be 0.86. Therefore, The probability that none of the LED light bulbs are defective is

P(x=0) = ¹⁰C₀ (0.14)⁰ (0.86)¹⁰ = 0.2213

Hence, The probability that none of the LED light bulbs are defective is 0.2213.

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Answer:

6190

Step-by-step explanation:

you multiply 4 days by 24 because a day have 24 hrs,then you will multiply the answer by 60 ,then after multiplying by 60 you will add 16 minutes and if you want to put is in seconds you multiply by 60 again that's what I know

Option A. is correct for the given condition.

Lets solve it through steps of range and functions,

First of all, Solve the equation:
[tex]f(x) = |x|+5[/tex]
[tex]= > x = -5[/tex] (1)

[tex]= > x = 5[/tex] (2)

So these would be the ranges of X in between 5 and -5.

Hence option A. [tex]R{f(x)eR [f(x) < 5}[/tex] is correct.

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Answer:

[tex]\left[\begin{array}{}0&\\1&\\-2&\\1&\end{array}\right][/tex]  t in R   Correct option (B)

Step-by-step explanation:

Orthogonal vectors : We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product of the two vectors is zero.

Dot product : The dot product of two vectors is equal to the sum of the products of the individual components of the two vectors.

for the given vector (a, b, c, d) to be orthogonal its dot product with each vector must be 0

therefore (1, 2, 1, 0).(a, b, c, d) = 0

                        a + 2b+ c+ 0    = 0    -------- (i)

similarly   (1, -1, 1, 3 ).(a, b, c, d) = 0

                        a - b + c + 3d    = 0   -------- (ii)

                 (2, -1, 0, 1).(a, b, c, d) = 0

                        2a - b + 0 + d   = 0 ---------- (iii)

subtracting equation (i) from (ii)

a - b + c + 3d - a - 2b - c - 0 = 0

                               -3b + 3d = 0

                                           b = d

substituting  b = d in (iii)

                       2a + b + 0 + b = 0

                                 2a + 2b = 0

                                           a = 0

substituting a = 0 , b = d in (i)

                       0 + 2d + c + 0 = 0

                                          c   = -2d

thus for any t ∈ R, vector(0, t, -2t, t)  will make the given set orthogonal

the above vector can also be written as (0, 1, -2, 1)

therefor option B is correct

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There are two ways to confirm the identity.

Method 1

[tex]\tan(x)\cot(x) = 1\\\\\tan(x)\frac{1}{\tan(x)} = 1\\\\\frac{\tan(x)}{\tan(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\[/tex]

--------------------------------------------

Method 2

[tex]\tan(x)\cot(x) = 1\\\\\left(\frac{\sin(x)}{\cos(x)}\right)\left(\frac{\cos(x)}{\sin(x)}\right) = 1\\\\\frac{\sin(x)\cos(x)}{\cos(x)\sin(x)} = 1\\\\\frac{\sin(x)}{\sin(x)} = 1\\\\1 = 1 \ \ \checkmark\\\\[/tex]

Answer:

A , C , D  , i thinks it another one but ionk

Step-by-step explanation:

Answer:

24000

Step-by-step explanation:

6/5×20000

=24000

Answer:

-16, 16, 16

Step-by-step explanation:

1) -16

2) 16

3) 16

The function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection.

The number of stamps is s and the number of weeks is w.

s = f(w) = 12 + 4w

Because Every week, he adds 4 more stamps to the collection

Thus, the function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.

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Answer: it's A, B, and D

Step-by-step explanation: