Help please!

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B.


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D.

The probability that at least one bit is 0 is 63/64 or approximately 0.9844.

Now, For the probability that at least one bit is 0, we have to calculate the probability that all bits are 1 and then subtract it from 1.

Hence, Let us assume that each bit has an equal probability of being 0 or 1, the probability that a single bit is 1 is,

1/2

And, the probability that a single bit is 0 is also 1/2.

Hence, The probability that all 6 bits are 1 is,

⇒ (1/2)⁶ = 1/64.

Therefore, the probability that at least one bit is 0 is,

⇒ 1 - 1/64 = 63/64.

So, the probability that at least one bit is 0 is 63/64 or approximately 0.9844.

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Answer:

a₂₀ = 69

Step-by-step explanation:

The nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 15 - 12 = 3 , then

a₂₀ = 12 + (3 × 19) = 12 + 57 = 69

Answer:

x<-11

Step-by-step explanation:

Answer:10.75

Step-by-step explanation:

3/4 as a decimal is 0.75. add that to the 10 gives you 10.75

Answer:

x/36 is what you're looking for my guy

The component form of the linear combination of the two vectors is u - 2v = &lt; -5, 20&gt;

Here we have the two vectors: u = &lt;-3, -2&gt; and v = &lt;1, -5&gt; We want to determine the value of the linear combination:

u - 2v

To do that we just add the correspondent components, then we get:

u - 2v = &lt;-3, -2&gt; - 2*&lt;1, -5&gt;          

= &lt;-3, -2&gt; - &lt;2*1, 2*-5&gt;          

= &lt;-3, -2&gt; -  &lt;2, -10&gt;          

= &lt; -3 - 2, -2 -(-10)&gt;          

= &lt; -5, 20&gt;

That is the component form of the linear combination.

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Answer:

See below

Step-by-step explanation:

Assuming that the garden is a rectangle, its dimensions could be 1 by 11 feet or 11 by 1 feet. Remember that the area of a rectangle is calculated by multiplying its two dimensions together so we just need to find the factor pairs of 11.

The recursive rule for the number of acres at the beginning of the nth day in a forest fire that grows by 20% each day and is battled by firefighters who can put out 15 acres per day is given by: A(n) = 1.2 * A(n-1) - 15, where A(n) represents the number of acres at the beginning of the nth day. Using this rule, we can calculate that there are 89.6 acres burning at the beginning of the 8th day.

Explanation: To determine the recursive rule for the number of acres at the beginning of the nth day, we need to consider the given information. The forest fire initially covers 60 acres and grows by 20% each day. This means that the number of acres at the beginning of the next day (n+1) is 1.2 times the number of acres at the beginning of the current day (n). However, the firefighters are able to put out 15 acres of fire per day.

Therefore, to calculate A(n), we start with the initial number of acres, which is 60, and apply the recursive rule. A(n) = 1.2 * A(n-1) - 15. This formula takes into account the growth of the fire by 20% and the reduction of 15 acres due to the firefighters' efforts. By substituting the values, we can calculate the number of acres at the beginning of each day.

To find the number of acres burning at the 8th day, we substitute n = 8 into the recursive rule. A(8) = 1.2 * A(7) - 15. We need to determine A(7) first by substituting n = 7, and so on, until we reach the initial value A(1) = 60. Once we have calculated A(8), we can determine that there are 89.6 acres burning at the beginning of the 8th day

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The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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Answer:

x= 100

Step-by-step explanation:

x/5 = 20

multiply both the sides by 5 we get

5× x/5 = 20×5

x = 100

Answer:

60

Step-by-step explanation:

119-59 = 60

5,278 hope this helps good luck!

The sampling method in which every nth member of the population is chosen to be a part of the process is known as systematic sampling. The value of n is calculated by dividing the total population by the sample size. It is a statistical method of selecting elements from a population.

Systematic sampling is one of the probability sampling techniques in which a sample is selected from a larger population. It is a form of non-random sampling that allows researchers to establish an ordered, systematic way of selecting subjects from a population.Systematic sampling is often used when there is a large population and a need for simplicity in selecting a sample. This method is advantageous in terms of its ease of implementation and efficient sampling.

A disadvantage of this method is the possibility of a skewed sample if the periodicity of the population is not taken into account.A systematic sample can be obtained by arranging the population elements in a particular order, for instance, alphabetical or chronological order, and then selecting every kth element, where k = population size / sample size. This method of sampling has been proven to be more efficient than other sampling methods when there is a need to cover a large population.

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(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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The statement "Average total cost will fall if the firm produces 101 N95 masks" is false.

The total cost of producing 100 N95 masks in an hour is $19 and the marginal cost of producing the 101st N95 mask is $0.20.

Thus, we can conclude that the average cost of producing 100 masks is $0.19, and the average cost of producing 101 masks is $0.20.

For this reason, if the company produces the 101st mask, the average total cost will increase, and not fall (as given in the question).

Hence, the statement "Average total cost will fall if the firm produces 101 N95 masks" is false.

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To find a point of inflection, take the second derivative of the function, set it equal to zero and solve for x, and verify the point by checking the sign of the second derivative on either side of the point.

Follow these steps to locate a point of inflection:

It is a point of inflection if the curve shifts from concave up to concave down at the point. It is also a point of inflection if it transitions from concave down to concave up.

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Answer:

The volume is 210 cm³

Step-by-step explanation:

The way to solve volume is LxWxH, so you would do 6x5x7 and you get 210.

Answer:

206.7 so yes they add up

Step-by-step explanation:

They add up because 103.8+100.+2.9

So therefore after adding them up yes they add up but past 100%

Answer:

Vertical translation

Step-by-step explanation:

Let's compare each point to its corresponding point in the image.

First, look at point A. Look at point A'.

With respect to the shapes ABCD and A'B'C'D', they are in the same position (in between B/B' and D/D'; across from C/C').

If you look at the image again, you'll find that the shape A'B'C'D' is not a rotated version of ABCD.

Thus, we can rule out the option "90° clockwise rotation."

A reflection across the x-axis indicates that A'B'C'D' and ABCD would be symmetrical across the x-axis (a horizontal line).

Because ABCD and A'B'C'D' are not symmetrical across a horizontal line, we can also rule out "Reflection across the x-axis."

Now, look at the position of A'B'C'D' with respect to ABCD. It's directly next to ABCD. In other words, it was shifted sideways.

Translations are basically just shifts.

Recall that horizontal means up and down, while vertical means side to side.

Since this is a sideways shift, we can conclude that the translation was:

a vertical translation.

74-p

20-q

I think this is right

Answer: The function is increasing in the given interval.

Step-by-step explanation:

The options are not given, so i will answer in a general way.

We have an exponential function g(x) such that:

g(3) = -53

and

g(5) = -41

From this we can only conclude that in the interval [3, 5] the function is increasing, because g(5) > g(3) and the general form of a exponential function is:

g(x) = A*(r)^x + C

Notice that we have two equations and 3 variables in the equation, this means that we can not find an exact solution for g(x) (we need the same number of independent equations than variables)

Then we can not conclude anything else for g(x)

Answer:

the answer is 8

Answer:

Answer is 8

Step-by-step explanation:

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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The probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.

We need to calculate the conditional probability of an employee being a member of the hourly staff given that the employee is female and all the employees of a local university have been classified according to gender and job type.

The given table is:

Job Male Female

Faculty Member 55 5

Salaried Staff 15 25

Hourly Staff 30 20

The total number of female employees is 5+25+20 = 50.

We are to find the probability of an employee being a member of the hourly staff given that the employee is female.

Mathematically, we can represent the above statement as:

P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)

Now,P(Hourly staff and Female) = 20/100 * 50 = 10P(Female) = 50/100

Therefore,P(Hourly staff | Female) = P(Hourly staff and Female) / P(Female)= 10 / 50= 1/5 = 0.2

Therefore, the probability that the employee is a member of the hourly staff, given that the employee is female is 0.2 or 1/5.

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the limit of ln(x+h)-ln(x)/h as h approaches 0 when x=2e is 1/(2e), which is option A.

We can start by using logarithmic properties to simplify the expression:

ln(x+h) - ln(x) = ln((x+h)/x)

So we have:

lim_h-->0 [ln(x+h) - ln(x)]/h = lim_h-->0 ln((x+h)/x)/h

Now we can substitute x = 2e and simplify:

lim_h-->0 ln((2e+h)/2e)/h = lim_h-->0 ln(1 + h/2e)/h

We can use L'Hopital's rule to evaluate this limit:

lim_h-->0 ln(1 + h/2e)/h = lim_h-->0 (1/(1 + h/2e))*(1/2e) = 1/(2e)

Therefore, the limit of ln(x+h)-ln(x)/h as h approaches 0 when x=2e is 1/(2e), which is option A.
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