Which number line shows the solutions to x<5

Answer:

3

Step-by-step explanation:

when 3 is added 3597 becomes 3600 which is square of 60

Answer:

.00831

Step-by-step explanation:

The recall in this case is 30%, which corresponds to option B.

Recall is a measure of the proportion of relevant documents that are correctly retrieved by a search engine. In this scenario, out of 200 documents, 40 are relevant. However, the search engine returns only 30 documents, of which 12 are relevant. To calculate recall, we need to determine the ratio of the number of relevant documents retrieved to the total number of relevant documents.

In this case, the search engine retrieves 12 relevant documents, but there are a total of 40 relevant documents. Thus, the recall is given by:

Recall = (Number of relevant documents retrieved) / (Total number of relevant documents) * 100%

       = 12 / 40 * 100%

       = 30%

Therefore, the correct answer is option B, which states that the recall is 30%.

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The amounts of bacteria are given as follows:

The exponential function y = 8^x is graphed by the image presented at the end of the answer.

An exponential function is defined as follows:

y = ab^x.

In which:

The parameters for this problem are given as follows:

Hence the function is defined as follows:

y = 8^x.

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Answer:

\(\left \{ {{y=10} \atop {x=5}} \right.\)  \(\left \{ {{y=11} \atop {x=4}} \right.\) \(\left \{ {{y=12} \atop {x=3} \right.\) \(\left \{ {{y=14} \atop {x=1}} \right.\)

x-restaurant gift cards ;

y-movie theater gift cards

Step-by-step explanation:

x+y=15

50x+20y≤450

\(\left \{ {{x\leq 5} \atop {y\geq 10}} \right.\)

so,\(\left \{ {{y=10} \atop {x=5}} \right.\)  \(\left \{ {{y=11} \atop {x=4}} \right.\) \(\left \{ {{y=12} \atop {x=3} \right.\) \(\left \{ {{y=14} \atop {x=1}} \right.\)

Mr. Thomsen can by 5 restaurant cards and 10 movie theater gift cards

System of equations

When there are multiple unknowns and providing necessary information to set up solutions in those unknowns, systems of equations are being used to solve applications.

How to determine the each type of gift card Mr. Thomsen buy?

Consider \(x\) as the number of restaurant gift cards.

Let's take \(y\) as the numbers of movie theaters gift card.

The cost of each restaurant gift cards is 50$

The cost of each movie theater gift cards is 20$

He has 450$ to spend on 15 gift cards.

Therefore, the system of equation to find the each type of gift card will be:

\(50x+20y=450\)

How to find the value of \(x\) :

Here, we know that : \(x+y=15\)

So, the value of \(x\) will be:

\(x=15-y\)

\(50(15-y)+20y=450\)    

Expand the equation

\(750-50y+20y=450\)

Add similar elements

\(-50y+20y=-30y\)

Therefore, the equation will be:

\(750-30y=450\)

Then subtract 750 from both sides as follow:

\(750-30y =450-750\)

\(-30y=-300\)

Simplify the equation:

\(-30y=-300\)

Divide the both sides by \(-30\)

\(\frac{-30y}{-30} =\frac{-300}{-30}\)

Simplify:

\(y=10\)

Therefore the value of \(x\) will be:

\(x=15-10\)

\(x=5\)

Therefore, Mr. Thomsen can by 5 restaurant cards and 10 movie theater gift cards.

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The distribution of the total length when the first pipe is inserted inside the second pipe is normal with a mean of 46 inches and a standard deviation of 1.1 inches.

To determine the distribution of the amount of overlap between the two PVC pipes, we need to consider the distributions of the lengths of the first and second pieces and the mean and standard deviation of the overlap.

1. The first piece of PVC pipe is from a stack with lengths that are normally distributed. The mean length is 25 inches, and the standard deviation is 0.9 inches.

This means that most of the pipes in the stack will have lengths close to 25 inches, with some variability around that mean length.

2. The second piece of PVC pipe is from a batch with lengths that are also normally distributed. The mean length is 20 inches, and the standard deviation is 0.6 inches. Similarly, most of the pipes in this batch will have lengths close to 20 inches, with some variability.

3. The amount of overlap between the two pipes is also normally distributed. The mean value of the overlap is 1 inch, and the standard deviation is 0.2 inches. This means that most of the overlaps will be around 1 inch, with some variability.

To find the distribution of the total length when the first pipe is inserted inside the second pipe, we need to consider the lengths of both pipes and the amount of overlap.

The total length would be the sum of the length of the first pipe, the length of the overlap, and the length of the second pipe.

Since we are summing normally distributed variables, the sum will also be normally distributed. The mean of the total length would be the sum of the means of the individual components:

25 inches (mean length of the first pipe) + 1 inch (mean overlap) + 20 inches (mean length of the second pipe) = 46 inches.

The standard deviation of the total length would be the square root of the sum of the variances of the individual components: sqrt(0.9^2 + 0.2^2 + 0.6^2) = sqrt(0.81 + 0.04 + 0.36) = sqrt(1.21) = 1.1 inches.

Therefore, the distribution of the total length when the first pipe is inserted inside the second pipe is normal with a mean of 46 inches and a standard deviation of 1.1 inches.

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Answer:

5.1416

Step-by-step explanation:

L = πr + d = 1 * π + 2 [meter] ≈ 5.1416 [meter]

(a) There are 81 possible answer sequences for the four questions.

(b) The probability of getting all four answers correct when guessing is approximately 0.01235 when rounded to five decimal places.

(c) The probability of answering at least one question correctly when guessing is approximately 0.51775 when rounded to five decimal places.

(a) Since there are three possible answers for each of the four questions, there are a total of 3^4 = 81 possible answer sequences for the four questions.

(b) If you are guessing on each question, the probability of getting one question correct is 1/3. Since there are four questions, the probability of getting all four correct is (1/3)^4 = 1/81, which is approximately 0.01235 when rounded to five decimal places.

(c) The probability of not getting any question correct is (2/3)^4, since there are two incorrect answers for each question and we are guessing on all four questions. Therefore, the probability of getting at least one question correct is 1 - (2/3)^4, which is approximately 0.51775 when rounded to five decimal places.

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Answer:

Image result for The difference of "-3" and "-5" is greater than 125. What is the solution set for the number?

The solution set of an inequality is the set of all solutions. Typically an inequality has infinitely many solutions and the solution set is easily described using interval notation. The solution set of example 1 is the set of all x <= 7.

Step-by-step explanation:

If a 10 percent cut in price causes a 15 percent increase in sales, then it is likely that the product has an elastic demand. This means that customers are highly responsive to changes in price and are willing to purchase more of the product when it is cheaper.

In this scenario, the decrease in revenue from the price cut may be offset by the increase in sales volume. However, it is important to consider the potential long-term effects on the product's brand value and profitability.

If a 10 percent cut in price causes a 15 percent increase in sales, then:

1. Calculate the new price after the 10 percent cut:
New price = Original price x (1 - 0.10)

2. Calculate the new quantity sold after the 15 percent increase in sales:
New quantity sold = Original quantity sold x (1 + 0.15)

In this scenario, the price elasticity of demand is greater than 1, indicating that the product has elastic demand. This means that a decrease in price will result in a proportionally larger increase in quantity demanded, leading to higher revenue for the seller.

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Answer:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Step-by-step explanation:

The number of tickets for sale at $40 should be 4,360. Let's assume x represents the number of tickets sold at $2, and y represents the number of tickets sold at $40.

Let's assume x represents the number of tickets sold at $2, and y represents the number of tickets sold at $40.

According to the given information, the revenue generated by selling tickets at $2 is given by 2x, and the revenue generated by selling tickets at $40 is given by 40y.

We are given that the total revenue generated should be $174,400.70. Therefore, we have the equation:

2x + 40y = 174,400.70

We also know that the total number of tickets sold should be 8,000. Hence, we have another equation:

x + y = 8,000

To solve this system of equations, we can use substitution or elimination.

Let's use the elimination method. We can multiply the second equation by 2 to eliminate x:

2(x + y) = 2(8,000)

2x + 2y = 16,000

Now we can subtract the new equation from the first equation:

(2x + 40y) - (2x + 2y) = 174,400.70 - 16,000

38y = 158,400.70

Dividing both sides by 38, we get:

y = 4,160.02

Substituting this value back into the second equation, we find:

x + 4,160.02 = 8,000

x = 3,839.98

Since we cannot have a fraction of a ticket, we round x down to 3,839 and y up to 4,160.

Therefore, the number of tickets for sale at $2 should be 3,839, and the number of tickets for sale at $40 should be 4,160.

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Answer:

(b) distributive property

Step-by-step explanation:

When you multiply a number (a) by a sum of two other numbers (b + c), you can distribute the multiplication across the sum and get the same result as if you had multiplied a by each of the two numbers (b and c) separately, and then added the two products together.

For example, if a = 2, b = 3, and c = 4, then:

2 x (3 + 4) = 2 x 7 = 14

and

(2 x 3) + (2 x 4) = 6 + 8 = 14

so the distributive property holds in this case.

The exponential function \(e^{t}\) is the one whose first-order derivative is the function itself.

what are derivatives?

The term "derivative" refers to a function's fluctuating rate of change with regard to an independent variable. When a variable quantity and a non-constant rate of change are present, the derivative is frequently used. The derivative is employed to gauge how sensitive a variable (the dependent variable) is to an other variable (independent variable).

what are trigonometric functions?

The trigonometric functions, which are actual functions, connect a right-angled triangle's angle to the ratios of its two side lengths. They are frequently utilised in all fields of study that deal with geometry, including geodesy, solid mechanics, celestial mechanics, and many more.

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Answer:

y= -1/5x+4.4

Step-by-step explanation:

this is written in slop-intercept form

Answer:

y=-1/5x+4.4

Step-by-step explanation:

The answer is the answer above

The row and column totals will be the same as for the observed frequency is 86.4.To find the expected number of people who get fewer than 6 hours of sleep per night and are age 39 or younger, you can use the formula for expected frequency:

Expected Frequency = (Row Total * Column Total) / Grand Total

Let's call the expected frequency "EF."

For the "fewer than 6 hours" row, the total is 72. For the "39 or younger" column, the total is 240. The grand total is 500.

Plugging in the values into the formula:

EF = (72 * 240) / 500

Calculating the result:

EF = 86.4

So, the expected frequency is 86.4, which means that you would expect 86.4 people in the sample to get fewer than 6 hours of sleep per night and be age 39 or younger.

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The treatment sum of squares measures the variability of the sample treatment means around the overall mean.

A mean can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

This ultimately implies that, a mean score is an average score and it can be calculated by dividing the total number of scores obtained by total number of samples in a data set (population).

In ANOVA, the following sum of squares can be used to measure the variation about the mean:

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Answer:

See explanation

Step-by-step explanation:

f(x)=|x|

f(x) ==> f(x+3): translation of function 3 units to the left, f(x-3) would be translation 3 units right

f(x+3) ==> 3f(x+3): vertical stretch by a factor of 3

f(x+3) ==> -3f(x+3): Reflection over the x-axis, since y value changes over the x-axis while x value changes over the y-axis

-3f(x+3) ==> h(x)=-3f(x+3)+1: Translation one unit up.

The perimeter of the track is  1, 147. 8m

The perimeter of the diagram is a sum of the circumference of the semi-circle and rectangles.

We have that the width of the rectangle is the diameter of the circle.

To determine the diameter, we have;

Area/150

13500/150

270m

Then, the circumference of the two semicircles makes a circle.

Circumference = πd

substitute the value

Circumference = 3.1 4 × 270

Multiply the values

Circumference = 847.8m

Then, the perimeter of the rectangle is double the length, we have;

150 + 150 = 300m

Total perimeter = 1, 147. 8m

Hence, the value is  1, 147. 8m

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Sum of 8th & 4th terms of an AP = 24

Sum of 6th & 10th terms = 44

A.P.

We know that,

nth term of an AP = a + (n - 1)d

Hence,

⟹ a + (8 - 1)d + a + (4 - 1)d = 24

⟹ a + 7d + a + 3d = 24

⟹ 2a + 10d = 24 -- equation (1)

Similarly,

⟹ a + 5d + a + 9d = 44

⟹ 2a + 14d = 44 -- equation (2)

Subtract equation (1) from (2).

⟹ 2a + 14d - (2a + 10d) = 44 - 24

⟹ 2a + 14d - 2a - 10d = 20

⟹ 4d = 20

⟹ d = 20/4

⟹ d = 5

Substitute the value of d in equation (1).

⟹ 2a + 10(5) = 24

⟹ 2a = 24 - 50

⟹ 2a = 24 - 50

⟹ 2a = - 26

⟹ a = - 26/2

⟹ a = - 13

We know,

General form of an AP is a , a + d , a + 2d...

Hence,

⟹ required AP = - 13 , - 13 + 5 , - 13 + 2(5)...

⟹ required AP = - 13 , - 8 , - 3....

I hope it will help you.

Regards.

Answer:

4 dollars

Step-by-step explanation:

Twenty-four  divide by eight is four.

24 divided 8= 4

Sorry I don't have a division sign on my laptop... (hints why I put divided by instead)

Can I have brainliest?

The hypothesis test or draw a conclusion about the sufficiency of evidence. comparing it to a critical value or obtaining a p-value. However, without specific data or sample information

In order to determine if there is sufficient evidence to support the mayor's claim, we need to set up the null and alternative hypotheses and conduct a hypothesis test.

Null hypothesis (H0): The proportion of residents favoring annexation is equal to or less than 72%.

Alternative hypothesis (H1): The proportion of residents favoring annexation is greater than 72%.

To test these hypotheses, we can use a one-sample proportion test. Let's denote p as the true proportion of residents favoring annexation in the population.

Given that the mayor believes more than 72% of the residents favor annexation, the alternative hypothesis is one-sided and can be stated as follows:

H0: p ≤ 0.72

H1: p > 0.72

To determine if there is sufficient evidence to support the mayor's claim, we would need to collect a sample from the town's residents and conduct a hypothesis test, using statistical methods such as calculating a test statistic (e.g., z-test) and comparing it to a critical value or obtaining a p-value. However, without specific data or sample information, we cannot perform the hypothesis test or draw a conclusion about the sufficiency of evidence.

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Answer:

Step-by-step explanation:

\(a^{m}* a^{n}=a^{m+n}\\\\\\(\frac{-1}{2})^{-19}*(\frac{-1}{2})^{8}=(\frac{-1}{2})^{-2x +1}\\\\(\frac{-1}{2})^{-19+8}=(\frac{-1}{2})^{-2x+1}\\\\\\(\frac{-1}{2})^{-11}=(\frac{-1}{2})^{-2x+1}\)

As bases are equal in boht sides, we can compare the exponents.

-2x + 1 = -11

Subtract 1 form both sides

-2x = -11 - 1

-2x = -12

Divide both sides by -2

x = -12/-2

x = 6

The coordinates are:

To find the coordinates:

In Analytical Geometry, the midpoint of a line is calculated as the mean of two points, as follows:

\($$x_m=\frac{x_1+x_2}{2}, y_m=\frac{y_1+y_2}{2}$$\)

Each segment has two endpoints and two midpoints, which are as follows:

We must be cautious not to add the wrong coordinates.

In the first line A:

\($$\begin{aligned}&2=\frac{1+x_2}{2} \\&4=1+x_2 \\&4-1=-1+1+x_2 \\&x_2=3 \\&-1=\frac{y_2-9}{2} \\&-2=y_2-9 \\&+2-2=y_2-9+2 \\&y_2=-7\end{aligned}$$\)

So (3,7) is the other endpoint where the segment begins (1,-9).

The endpoint of the second line b at (-2,18) and its midpoint (5,9).

\($$\begin{aligned}&5=\frac{-2+x_2}{2} \\&10=-2+x_2 \\&+2+10=+2-2+x_2 \\&x_2=12 \\&9=\frac{18+y_2}{2} \\&18=18+y_2 \\&-18+18=-18+18+y_2 \\&y_2=0\end{aligned}$$\)

So, (12,0) is the opposite endpoint.

Therefore, the coordinates are:

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The correct question is given below:

A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment in terms of x1, y1, xm, and ym. Use the result to find the coordinates of the endpoint of a line segment when the coordinates of the other endpoint and midpoint are, respectively, (1, −9), (2, −1) and (−2, 18), (5, 9).

The probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660

This problem can be solved by permutations and combinations. This can also be solved using binomial probability experiment.

Let, then we could reasonably assume that follows a binomial distribution.

Given P = 0.01 and n = 29

P(x) = nCx.px.(1-p)^(n-x)

nCx = n! [x!-(n-x)!]

P = P(X<=1).

X<=1, if X = 0 and X = 1,

P(0) + P(1)

P(0) = 1.(0.01)^(0).(0.99)^(29) = 0.74717

P(1) = 29C1.(0.01)^(1).(1-0.01)^(29-1)

P(1) = 0.21887

P = P(0) + P(1)

P = 0.74717+0.21887 = 0.9660

So, therefore the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects is 0.9660

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Answer:

$54,742.76

Step-by-step explanation:

The equation for an exponential function is  \(f(x)=ab^x\\\), where \(a\) is the starting value, which is 40,000. This value increases by 4%, so \(b\) is 1.04. Finally, \(x\) is the term that the value is increasing for, which in this case is 8.

So, the equation is \(f(x)=40000*1.04^8\)

** \(f(x)\) can be replaced with \(y\)

Answer:let the cost be y

and the number of months be x

given that the cost is modeled as

y= 15x+25

we can solve for the charges after a series of months

say we want to calculate the charges for 5 month, we then have to put x=5 in the expression

y=15x+25.

y= 15(5)+25

y= 75+25

y=100

the charges for 5 months is $100

you can estimate for any number of months just put the number of months for x  

Step-by-step explanation: