Simplify (I don't know how to write the question itself)

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:

fifth option

Step-by-step explanation:

Given

- 2(x - 5) ≤ 6x + 18 ← distribute left side

- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )

- 8x + 10 ≤ 18 ( subtract 10 from both sides )

- 8x ≤ 8

Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus

x ≥ - 1

Answer:

y = 3/4x - 8/3

Step-by-step explanation:

y = 3/4x + b

1/3 = 3/4(4) + b

1/3 = 3 + b

-8/3 = b

Answer:

y=3/4x-8/3

Step-by-step explanation:

y-y1=m(x-x1)

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

y-1/3=3/4x-12/4

y-1/3=3/4x-3

y=3/4x-3+1/3

y=3/4x-9/3+1/3

y=3/4x-8/3

Answer: 3/8

Step-by-step explanation:

There is no effect between flipping a coin and chosing a number.

This situation is known as a independent event.

P(AnB) = P(A)*P(B)

The situation A = Heads or tails of money = 1/2

The situation B = 6/8

It can be calculated as below:

Probability = Desired / All Event

Desired || Numbers between 3 and 10 are : 4,5,6,7,8,9 = 6 pieces

All Event || Numbers between 1 and 10 are : 2,3,4,5,6,7,8,9 =8 pieces

Consequently product the fractions.

1/2 * 6/8 = 6/16 = 3/8

Answer:

(i) K = 1.8 (Given in explanation)

(ii) Nicole will have the required amount of $2150 after 5 complete years

Step-by-step explanation:

The formula for compound interest is,

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

Where A is the final amount

P is the initial amount

r is the interest rate

n is the number of times the interest is applied per time period

t is the number of time periods elapsed

(i) In our case,

P = initial amount = $2000

A = final amount = #2036

r = K%

n = 1 (The account pays compound interest once per year and the time period is in years)

And for the 1st case, t = 1 year

so,

\(A = P(1+r/n)^{nt}\\2036 = 2000(1+K/100)^{1}\)

Note: 1/100 = 1% so K/100 = K%

\(2036/2000 = (1+K/100)\\2036/2000 - 1 =K/100\\1.018 -1 = K/100\\0.018=K/100\\K=(100)(0.018)\\\\K=1.8\)

Hence shown that K = 1.8

(ii)For the 2nd case, A = $2150 but in this case, we need to find the number of years t and we have found K from the previous problem K = 1.8

So,

\(2150 = 2000(1+1.8/100)^{t}\\2150/2000 = (1+1.8/100)^{t}\\1.075 = (1+1.8/100)^{t}\\\)

Now, we take the log on both sides,

\(log(1.075) = log(1 + 1.8/100)^t\)

Using the property,

\(log(A)^B = (B)(log(A)\)

we get,

\(log(1.075) = (t)log(1 + 1.8/100)\\log(1.075) = (t)log(1.018)\\log(1.075)/log(1.018) = t\\Which \ gives,\\t = 4.054 \ years\)

So, after 4 years, Nicole will have less than $2150 since it requires 4.054 years,

Hence, Nicole will have the required amount of $2150 after 5 complete years

Al-Fatihah is an Islamic prayer recited during the five daily prayers. Comparing radio and television in reading Al-Fatihah from its beginning requires an analysis of how each medium conveys the prayer to its audience. Radio precedes television in reading Al-Fatihah from its beginning.

This is because radio broadcasting began in the early 1900s while television broadcasting began in the late 1940s.

This delay can range from a few seconds to a few minutes depending on several factors such as the geographical location of the audience, the strength of the signal, and the quality of the receiver. Therefore, the time difference between radio and television in reading Al-Fatihah can vary depending on the factors mentioned above.

Mathematically, the time difference between radio and television can be calculated using the formula: d = s / tWhere d is the distance between the transmitter and the receiver, s is the speed of the signal, and t is the time it takes for the signal to reach the receiver.

In this case, d is the distance between the broadcasting station and the audience, s is the speed of the signal which is constant (i.e., the speed of light), and t is the time it takes for the signal to reach the audience. Since the speed of light is approximately 299,792,458 m/s, the time it takes for the signal to reach the audience can be calculated using the following formula:t = d / s

Therefore, the time difference between radio and television in reading Al-Fatihah can be calculated by subtracting the time it takes for the radio signal to reach its audience from the time it takes for the television signal to reach its audience. This difference can range from a few milliseconds to a few minutes depending on the factors mentioned above.

In network concepts, the time difference between radio and television in reading Al-Fatihah can be affected by the bandwidth of the network. The bandwidth is the amount of data that can be transmitted over a network in a given time. If the bandwidth is low, it can cause a delay in the transmission of the signal which can affect the time difference between radio and television.

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Answer:

1 ounce is 0.05

Step-by-step explanation:

Answer:

multiply both fractions by 12 and you get 2 grams for 1 pan

Step-by-step explanation

Answer:2 grams

Step-by-step explanation:you multiply the factions and get 3

It will take approximately 51.25 minutes for the man to get home at his usual speed of 9 kilometers per hour.

Step 1: Convert the given time in minutes to hours
26 minutes = 26/60 hours = 0.4333 hours
10 minutes = 10/60 hours = 0.1667 hours

Step 2: Calculate the distance covered during each time interval
First interval: 6.76 km/h * 0.4333 hours = 2.9276 km
Second interval: 5.55 km/h * 0.1667 hours = 0.9256 km

Step 3: Add the distances together to find the total distance covered
2.9276 km + 0.9256 km = 3.8532 km

Step 4: Calculate the remaining distance to reach home
11.54 km - 3.8532 km = 7.6868 km

Step 5: Calculate the time it takes to cover the remaining distance at the usual speed
Time = Distance / Speed
Time = 7.6868 km / 9 km/h = 0.8541 hours

Step 6: Convert the time in hours back to minutes
0.8541 hours * 60 = 51.246 minutes

So, it will take approximately 51.25 minutes for the man to get home at his usual speed of 9 kilometers per hour.

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The probability that 4  of the 9  computers are defective is given by expression 0.3665.

It may be calculated by dividing the number of positive outcomes by the total number of potential outcomes. It is the attribute or state of being probable, the degree to which something is likely to happen. In other words, it is a way to gauge how likely an event is to occur.

out of 18 phones, 6 are defective. 9 of the phones are selected at random without replacement.

the probability that 4 of the 9  phones are defective

18 phones- 6 defective , 12 non-defective

9 phones- 4 defective , 5 non-defective

Required probability = \(\frac{^6 C_4*^1^2C_5 }{^1^8C_9}\)

= 15x1188 / 48620

P = 0.3665

after rounding we get 0.3665.

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Complete question:

in a certain shipment of 18 computers, 6 are defective. 9 of the computers are selected at random without replacement. what is the probability that 4  of the 9  computers are defective? express your answer as a fraction or a decimal number rounded to four decimal places.

Company X manufactured units in the last 16 days, with a total of 5 classes. To determine the class interval, use the formula (maximum value - minimum value)/number of classes = (31 - 25)/5 = 6/5. Organize the information into a frequency distribution, and calculate the mean and standard deviation. The mean is 26.8125, while the standard deviation is 1.8143. The formula can be used without Excel, resulting in a mean of 26.8125 and a standard deviation of 1.8143.

Given that Company X manufactured the following number of units in the last 16 days:27 27 27 28 27 25 25 28 26 28 26 28 31 30 26 26Following are the solutions to the given questions:How many classes do you recommend?We can choose classes according to the given data. Here, the data ranges from 25 to 31.

Thus, we can choose the following classes:25-2626-2727-2828-2929-30 30-31Thus, the total number of classes will be 5.What should be the class interval?The class interval is given by (maximum value - minimum value)/number of classes We can calculate the class interval by using the formula as follows:

Class interval = (maximum value - minimum value)/number of classes

= (31 - 25)/5

= 6/5

= 1.2

Organize the information into a frequency distribution. The frequency distribution is given as: Class interval Frequency 25-26 2 26-27 3 27-28 4 28-29 2 29-30 1 30-31 4Total 16Calculate the mean and standard deviation.The formula for mean is given by: Mean = sum of all observations/number of observations

Mean = (27+27+27+28+27+25+25+28+26+28+26+28+31+30+26+26)/16

= 26.8125

The formula for standard deviation is given by:

Standard deviation =\(sqrt(sum((x-mean)^2)/n)\)

where x is the observation, n is the number of observations, and mean is the mean of the given data. We can use the formula to find the standard deviation without using excel as follows:

Standard deviation = s\(qrt(sum((x-mean)^2)/n)\)

Standard deviation = sqrt((2*(25-26.8125)^2 + 3*(26-26.8125)^2 + 4*(27-26.8125)^2 + 2*(28-26.8125)^2 + 1*(29-26.8125)^2 + 4*(30-26.8125)^2 + 2*(31-26.8125)^2)/16)

Standard deviation = 1.8143Therefore, the mean of the given data is 26.8125 and the standard deviation is 1.8143.

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Answer:

If the temp is higher so is the amount of people on the beach

Step-by-step explanation:

There are 479,001,600 possible ways to arrange the 12 ping pong balls in a row.

To find the number of possible ways the 12 ping pong balls can be arranged in a row, we can use the concept of permutations.

Since all 12 ping pong balls are distinct (each color is unique), we can use the formula for permutations of distinct objects. The formula is:

nPr = n! / (n - r)!

Where n is the total number of objects and r is the number of objects taken at a time.

In this case, we have 12 ping pong balls, so n = 12.

To arrange all 12 ping pong balls in a row, we take all 12 balls at a time, so r = 12.

Plugging the values into the formula, we get:

12P12 = 12! / (12 - 12)!

= 12! / 0!

= 12!

The factorial of 12 (12!) is calculated as:

12! = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

Evaluating this expression, we find:

12! = 479,001,600

Therefore, there are 479,001,600 possible ways to arrange the 12 ping pong balls in a row.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer: the answer is false

Step-by-step explanation:

i just took the test :)

Answer:

This is false

Step-by-step explanation:

Answer:

Step-by-step explanation:

lim x -> +oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)

+oo(-2 + 0 + 0 + 0)

-oo

lim x -> -oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)

-oo(-2 + 0 + 0 + 0)

+oo

Step-by-step explanation:

a. 3.31615384615

b.64.5161428571

c. 6.11242857143

d. 98.588

As a result of being more dispersed, sample A has a broader 95% confidence interval.

Given that sample A had a higher standard deviation and that we are aware that when standard deviation rises, the margin of error likewise does, widening the confidence interval as a result.

The average squared departure of each observation from the mean is the standard deviation's square root.  In other words, it tells you how much the data points deviate from the average value.

Standard deviation is often used as a tool in statistical analysis to help determine the reliability of data. For example, if you were measuring the heights of a group of people, a low standard deviation would suggest that the majority of the people are around the same height, while a high standard deviation would suggest that there is a wider range of heights in the group.

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To calculate the total maximum horizontal stress (Shmax) in a subsurface system with reverse faulting, we can use the formula:

Shmax = P / A

where P is the pressure at the given depth and A is the stress ratio. Given: Depth = 2,000 ft, A = 0.8, Friction angle (φ) = 30°

First, we need to calculate the vertical stress (σv) at the given depth using the equation:

σv = ρ g  h

where ρ is the unit weight of the overlying rock, g is the acceleration due to gravity, and h is the depth.

Next, we can calculate the effective stress (σ') using the equation:

σ' = σv - Pp

where Pp is the pore pressure.

Assuming the pore pressure is negligible, σ' is approximately equal to σv.

Finally, we can calculate Shmax using the formula:

Shmax = σ' * (1 + sin φ) / (1 - sin φ)

Substituting the given values into the equations, we can calculate Shmax. However, the unit weight of the rock and the value of g are required to complete the calculation.

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The statement “there exists a function f such that f(x) < 0, f’(x) > 0, and f”(x) < 0 for all x” is false.

To understand why this statement is false, we must first understand what the symbols mean. The symbol f(x) refers to a function of x, and the symbols f’(x) and f”(x) refer to the first and second derivatives of the function, respectively.

The statement is saying that for all x, the function f(x) will be less than 0, the first derivative f’(x) will be greater than 0, and the second derivative f”(x) will be less than 0.

To show that this statement is false, we need to find an example of a function where this is not the case. Let’s consider the function f(x) = x³. At x = 0, this function is equal to 0, and so f(x) < 0 is not true. Additionally, the first derivative at x = 0 is f’(0) = 0, which is not greater than 0. Thus, the statement is false.

We can also show that this statement is false by looking at the graph of the function f(x). A function with the properties given in the statement would have a graph that looks like a “U” shape, with a minimum point at the origin. However, this is not the case for the function f(x) = x³. The graph of this function is a parabola, which does not have the desired shape.

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Answer:

I aint never seen to pretty bestfreinds one of them always ugly

Step-by-step explanation:

Answer: dollars earned, y

Step-by-step explanation:

Answer:

The answer is 3/4

Step-by-step explanation:

Answer:

2,0

Step-by-step explanation:

For x :   From -10   To  6   Is distance 16     3/4 of this is 12

                   Added to -10 = 2

   The only answer choice with x = 2 is the second one....But you could do a similar procedure for y    To find y = 0

Answer:

Step-by-step explanation:

Use Pythagorean as the ladder is going to be a hypotenuse of a formed right triangle with legs of 5.6 m and 1.4 m

Ladder length:

Reason:

Every exponent shown for choice A is an even number, which by extension points us to an even polynomial function.

Choice D has all odd exponents (think of \(\text{x}\) as \(\text{x}^1\)), which means choice D is an odd polynomial function.

Choices B and C have a mix of even and odd exponents for their terms. This means B and C are neither even nor odd.

The class width of 0 < x ≤ 6 can be found to be 6. The bars for all the classes would be the same width.

The class width is calculated by subtracting the lower limit of a class from the lower limit of the next class. The class width is therefore:

= 6 - 0

= 6

Looking at the other class intervals, we see that the class width is still 6:

= 12 - 6                                           =  18 - 12

= 6                                                 = 6

Then, we can therefore see that the bars for all the classes would have the same width as the class width is the same.

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a. The inequality that represents how many miles Jodi can drive on a tank of gas is 336 ≤ 14m ≤ 448.

b. The inequality can be written as 336 ≤ 14m or 14m ≤ 448.

c. The value of m is 24 ≤ m ≤ 32.

d. The value of m must be greater than or equal to 24 and less than or equal to 32.

What is a variable?

Any qualities, quantity, or number that can be gauged or tallied qualifies as a variable. A data item is another name for a variable. Examples of variables include age, sex, company income and expenses, country of birth, capital expenditures, class grades, eye color, and vehicle kind.

Given that Jodi can drive 336 miles on one tank of gas around the town. Again she can drive 448 miles on one tank of gas on the highway.

Assume that m represents the number of miles per gallon of gas.

Then she can drive 14m miles with  14-gallon gas.

The value of 14m must be greater than or equal to 336, but less than or equal to 448.

The mathematical representation is 336 ≤ 14m ≤ 448.

Break the inequality into two inequalities:

336 ≤ 14m and 14m ≤ 448

Now divide by 14:

24 ≤ m and m ≤ 32

The compact form is:

24 ≤ m ≤ 32.

The value of m lies between 24 and 32.

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Answer:

7.5

Step-by-step explanation:

\(\sqrt{0\\.3}\) = 0.5477225575

Multiply it by 5

= 2.738612788

Square it

7.5 \(ft^{2}\)

Hope this helped. :)

Dustin would need 7.5 square feet of canvas.

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Every dilated image are similar figures to the original figure.

The sketch that Dustin drawn is the dilated version of the actual mural.

Area of the design that he sketched = 0.3 square feet

Let l and w be the length and width of the design he sketched.

l × w = 0.3 square feet

Given that, the actual mural will have dimensions 5 times that of the design.

Then the length and width of the actual mural will be 5l and 5w.

Area of the actual mural = 5l × 5w

                                        = 25 × l × w

                                        = 25 × 0.3

                                        = 7.5 square feet

Hence the square feet of canvas will Dustin need is 7.5 square feet.

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a) the total number of ordered triples in relation R is: 5 * 4 * 3 = 60

b) the cardinality of relation R is |R| = 10.

c) Since the product is not equal to 6, (2, 1, 3, 2) is not in relation R. The answer is "no".

d) Since 1 < 3 < 4 and all elements are integers between 0 and 6, (1, 3, 4) satisfies the conditions and is in relation R. The answer is "yes".

What is cardinality?

In mathematics, cardinality is a concept that refers to the "size" or "number of elements" in a set. It is a measure of the quantity of elements present in a set, disregarding any specific order or arrangement.

a) To count the number of ordered triples in relation R, we need to consider the given conditions: 0 < i < j < k < 6.

Since i, j, and k are integers, we have 5 choices for k (1, 2, 3, 4, or 5). For each choice of k, we have (k-1) choices for j (as j must be smaller than k). Finally, for each choice of j, we have (j-1) choices for i.

Therefore, the total number of ordered triples in relation R is:

5 * 4 * 3 = 60

b) To find the cardinality of relation R, we need to count the number of ordered quadruples (a, b, c, d) that satisfy the condition a * b * c * d = 6.

The prime factorization of 6 is 2 * 3, and since a, b, c, and d are positive integers, we have the following possibilities:

(2, 1, 1, 3), (2, 1, 3, 1), (2, 3, 1, 1)

(1, 2, 1, 3), (1, 2, 3, 1), (1, 3, 1, 2), (1, 3, 2, 1)

(3, 1, 1, 2), (3, 1, 2, 1), (3, 2, 1, 1)

Therefore, the cardinality of relation R is |R| = 10.

c) To determine if (2, 1, 3, 2) is in relation R, we need to check if the product of the four elements equals 6:

2 * 1 * 3 * 2 = 12

Since the product is not equal to 6, (2, 1, 3, 2) is not in relation R. The answer is "no".

d) To determine if (1, 3, 4) is in relation R, we need to check if the three elements satisfy the condition 0 < i < j < k < 6:

Since 1 < 3 < 4 and all elements are integers between 0 and 6, (1, 3, 4) satisfies the conditions and is in relation R. The answer is "yes".

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