HELPPP.!! I don’t understand

5.880 can be expressed as the ratio of integers 127/25.

To express 5.880 as a ratio of integers, we can write it as follows:

5.880 = 5 + 0.880

To convert the decimal part (0.880) into a fraction, we can write it as a repeating decimal by observing the repeating pattern:

0.880880880...

The repeating part is "880", which has three digits.

Now, we can express 5.880 as a ratio of integers:

5.880 = 5 + 0.880 = 5 + 880/1000

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 10:

5.880 = 5 + 880/1000 = 5 + (880 ÷ 10)/(1000 ÷ 10) = 5 + 88/100

Finally, we can simplify the fraction further:

5.880 = 5 + 88/100 = 5 + 22/25

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Among the mentioned options, Sandra's equation is –6x + 2y = 3/2

Based on the mentioned options, the one with negative sign with 6x will be the possible correct choices. The reason is, while shifting the value on Right Hand Side, the sign will change. So, we are left with the options -

-6x + y = 3/2 and -6x + 2y = 3/2

Now, here if we taken the option, the equation will have coefficients 6 and 3/2. However, in the second option, we will have to divide the expression by 2, which will give equal answer.

Calculation is as follows -

2y = 6x + 3/2

Dividing the equation by 2

y = 3x + 3/4, which is the same as Tomas' equation.

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The complete question is -

Tomas wrote the equation y = 3x +3/4. When Sandra wrote her equation, they discovered that her equation had all the same solutions as Tomas’s equation. Wzu ab, hich equation could be Sandra’s?

–6x + y = 3/2

6x + y = 3/2

–6x + 2y = 3/2

6x + 2y = 3/2

D. 37.8204

A negative absolute value is always positive.

Answer:

d) 37.8204

Step-by-step explanation:

Given that,

→ |-18.531| + |-19.2894|

Let's solve the problem,

→ |-18.531| + |-19.2894|

→ 18.531 + 19.2894

→ 37.8204

Thus, option (d) is correct.

Answer:

look at the answer there xd

2.160000512

First you times five by itself 7 times. then times 3 by its self 3 times. then do the same for the five but multiply itself ten times. the do the multiplecation and division

There are infinite possible values of k.

To find the possible values of k, we need to determine the common factors of the two given polynomials.

Let's denote the first polynomial as P(x) = kx³ + 2x² + 2x + 3 and the second polynomial as Q(x) = kx³ - 2x + 9.

For these polynomials to have a common factor, it means that there exists a polynomial R(x) such that both P(x) and Q(x) can be expressed as the product of R(x) and another polynomial S(x). Mathematically, this can be written as P(x) = R(x) * S(x) and Q(x) = R(x) * T(x).

Since P(x) and Q(x) have a common factor, their common factor must also be a factor of their difference. Therefore, we can compute their difference as follows:

P(x) - Q(x) = (kx³ + 2x² + 2x + 3) - (kx³ - 2x + 9)

= kx³ + 2x² + 2x + 3 - kx³ + 2x - 9

= 2x² + 4x - 6

For P(x) - Q(x) to be divisible by R(x), the remainder should be zero. In other words, 2x² + 4x - 6 should be divisible by R(x).

Now, we need to determine the factors of 2x² + 4x - 6. By factoring this quadratic expression, we get (2x + 6)(x - 1).

Therefore, the possible values of k would be such that (2x + 6)(x - 1) is a factor of both P(x) and Q(x). For this to happen, we need to find the values of x that satisfy (2x + 6)(x - 1) = 0.

Setting each factor equal to zero, we have two possible values of x: x = -3 and x = 1.

Now, substituting these values of x back into the original polynomials, we can solve for k:

For x = -3:

P(-3) = k(-3)³ + 2(-3)² + 2(-3) + 3

= -27k + 18 - 6 + 3

= -27k + 15

Q(-3) = k(-3)³ - 2(-3) + 9

= -27k + 6 + 9

= -27k + 15

For x = 1:

P(1) = k(1)³ + 2(1)² + 2(1) + 3

= k + 2 + 2 + 3

= k + 7

Q(1) = k(1)³ - 2(1) + 9

= k - 2 + 9

= k + 7

Since P(-3) = Q(-3) and P(1) = Q(1), we can conclude that k + 7 = -27k + 15 and k + 7 = k + 7.

Simplifying these equations, we have:

-27k + k = 8

0 = 0

Since the equation 0 = 0 is always true, it means that k can be any real number.

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The sum of the arithmetic series 7.6+6.3+5 is 18.9. This can be found using the formula Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term. By substituting the given values, we get Sn = (3/2)(7.6 + 5) = 18.9.



To find the sum of a finite arithmetic series, we can use the formula Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term.

In the given arithmetic series 7.6+6.3+5, we have three terms: 7.6, 6.3, and 5. The first term (a) is 7.6 and the last term (l) is 5. Since we have three terms, the number of terms (n) is also 3.

Substituting these values into the formula, we get Sn = (3/2)(7.6 + 5) = (3/2)(12.6) = 18.9. Therefore, the sum of the finite arithmetic series 7.6+6.3+5 is 18.9.

In simpler terms, we can think of the sum of an arithmetic series as the average of the first and last term, multiplied by the number of terms. So in this case, we add 7.6 and 5 to get 12.6, and then divide it by 2 to get the average of 6.3. Finally, we multiply 6.3 by 3 (since we have three terms) to get the sum of 18.9.

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Answer: 60.96 pi or just 60 pi rounded to the nearest whole and the base is a circle , the shape is a cylinder

Step-by-step explanation:

Answer:

Step-by-step explanation:

The small square represents a 90 degree angle. So you know 1 angle

5x + 4x + 90 = 360 because you have a circle in the center. Combine left.

9x + 90 = 360         Subtract 90 from both sides

9x = 360 - 90          Combine

9x = 270                  Divide by 9

x = 270/9

x = 30

Answer:

Jackie divided the number of quarts by 2. There are 2 pints in each quart. She should have multiplied by 2; so Jackie made 20 pints of lemonade.

1 The probability that the total score is even is 10/24 or 5/12.

2 The probability that the total score is 6 is 2/24 or 1/12.

3 The probability that the total score is at least 6 is 9/24 or 3/8.

To complete the table, we need to find all possible combinations of scores that can occur when the die is thrown two times and add them up.

Here's the completed table:

Die Roll 1 Die Roll 2 Total Score

1 1 2

1 2 3

1 2 3

1 3 4

1 3 4

1 6 7

2 1 3

2 2 4

2 2 4

2 3 5

2 3 5

2 6 8

3 1 4

3 2 5

3 2 5

3 3 6

3 3 6

3 6 9

6 1 7

6 2 8

6 2 8

6 3 9

6 3 9

6 6 12

(i) To find the probability that the total score is even, we need to count the number of combinations that give an even total score, and divide by the total number of possible combinations. In this case, there are 10 combinations that give an even total score (2, 4, 4, 6, 6, 8, 8, 10, 10, 12), out of a total of 24 possible combinations. Therefore, the probability that the total score is even is 10/24 or 5/12.

(ii) To find the probability that the total score is 6, we need to count the number of combinations that give a total score of 6, and divide by the total number of possible combinations. In this case, there are 2 combinations that give a total score of 6 (1+5 and 2+4), out of a total of 24 possible combinations. Therefore, the probability that the total score is 6 is 2/24 or 1/12.

(iii) To find the probability that the total score is at least 6, we need to count the number of combinations that give a total score of 6 or higher, and divide by the total number of possible combinations. In this case, there are 9 combinations that give a total score of 6 or higher (6, 6, 7, 8, 8, 9, 9, 10, 12), out of a total of 24 possible combinations. Therefore, the probability that the total score is at least 6 is 9/24 or 3/8.

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Answer:

Ask Siri

Step-by-step explanation:

The 124 in the form of product of prime factors 2^2 × 31^1 where 2, 31 are prime.

Prime factors of a number are the set of prime numbers which when multiplied by together give the actual number.

Factors of 124 are integers that can be divided evenly into 124.

There are overall 6 factors of 124 among which 124 is the biggest factor and 1, 2, 4, 31, 62, 124 are positive factors.

The Prime Factors and Pair Factors of 124 are 2 × 31 and (1, 124), (2, 62), (4, 31) respectively.

Hence, the 124 in the form of product of prime factors 2^2 × 31^1 where 2, 31 are prime.

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The probability of no significant rainfall on a day, if there was no significant rainfall on the prior day, is dependent on various factors such as the location, climate, and season.

However, assuming a stable weather pattern, the probability of no significant rainfall on a day following a day with no significant rainfall would be higher than if there was significant rainfall on the prior day. This is because weather patterns tend to persist for several days, meaning that if there was no significant rainfall on the prior day, it is more likely that there will be no significant rainfall on the following day as well. Additionally, if the region is experiencing a dry season, the probability of no significant rainfall on a day would be higher regardless of the prior day's weather. The probability of no significant rainfall on a day, given that there was no significant rainfall on the prior day, depends on the weather patterns and climate in your specific location.

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Answer:

Step-by-step explanation:

(1/8)t + (1/12)t = 1

1.  Cannot multiply only one side of the equation.  Incorrect

2.  Correct

3.  (3/24)t + (2/24)t =1;    (5/24)t = 1   Correct

4.   Incorrect addition

The percentage of adults who have an IQ score between 92 and 112 points using the z score is 33.59%.

Given that,

Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points.

μ = 100 and σ = 10

We have, z score, z = (x - μ) / σ

For x = 92,

z = (92 - 100) / 10 = -0.8

For x = 112,

z = (112 - 100) / 10 = 0.12

Percent corresponds to the left of z = -0.8 is 0.2119.

Percent corresponds to the left of z = 0.12 is 0.5478.

Required percent = 0.5478 - 0.2119 = 0.3359 = 33.59%

Hence the required percentage is 33.59%.

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Answer:

9 candies

Step-by-step explanation:

You are required to find the number of candies in your pocket

Let

x = number of candies in your pocket

A friend gives you five more candies.

Total candies = 14

This can be represented by the equation:

Total candies = candies in your pocket + candies your friend gave you

14 = x + 5

14 - 5 = x

9 = x

x = 9 candies

x = number of candies in your pocket = 9

The surface area of the given pyramid is equivalent to 760 square inches.

The surface area of a figure is the sum of the area of the surfaces of such figure.

The given pyramid is made up of 5 big rectangles and 2 small rectangles

Surface area = Area of 4 large rectangles + 2(area of small rectangles)

Surface area = 2(22 * 10) + 2(22 * 5) + 2(10 * 5)

Surface area = 440 + 220 + 100

Surface area  = 760 square inches

Surface area = 760 square inches

Hence the surface area of the rectangular based pyramid is 760 square inches

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The set notation will be S ∈ { 14, 16, 18, 20, 22, 24, 26, 28}.

When we have to represent set having defined specific number, we do my writing the number in curly bracket. When we have to represent the set having collection of continuous number between two specific defined number, we do by writing first and last number in small bracket.

As the terms given for the set is 14, 16, 18, 20, 22, 24, 26, 28 which are defined and specific terms so it will be represented by writing it in curly brackets

i.e. S ∈ { 14, 16, 18, 20, 22, 24, 26, 28}

Final answer,  the set will be S ∈ { 14, 16, 18, 20, 22, 24, 26, 28}

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Answer:

4.2

Step-by-step explanation:

All sides are proportional, so choose a pair and find the proportion

Ex: AB and JK = 7/5=1.4

so each side is multiplied by 1.4 to get the larger figure

So 3*1.4=4.2

Alice gave Zack 5/32 of the chocolate bar. If Alice got 5/8 of a full bar of chocolate, this means she has 3/8 of the chocolate left after giving Zack his share.

To find out how much of her own piece Alice gave Zack, we need to subtract Zack's share from the amount Alice originally had.

Alice originally had 5/8 of the chocolate bar, so 1/4 of the full bar that Alice gave to Zack is:

(1/4) x (5/8) = 5/32

Therefore, Alice gave Zack 5/32 of the chocolate bar, which is the same as saying she kept 3/8 - 5/32 = 11/32 of the chocolate bar for herself.

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The profit-maximizing output of 1.91, the firm is incurring a loss of $29.42.

a) Find the profit-maximizing level of output (Q)To determine the profit-maximizing level of output, we must calculate the marginal cost and marginal revenue of the firm.MC= dTC/dQ= -6Q^2-100+68Q=2(17Q^2-34Q-50)So, the marginal cost of the firm is MC= 2(17Q^2-34Q-50)To find the marginal revenue (MR) we must differentiate the revenue function with respect to Q.MR= dTR/dQ= P + Q(dP/dQ)= 20-4QHence, the marginal revenue is MR= 20-4QAt the point of maximum profit, marginal cost (MC) equals marginal revenue (MR).Therefore, 2(17Q^2-34Q-50)=20-4Q34Q^2-68Q-100=0Solving the above equation gives Q=1.91Therefore, the profit-maximizing output is 1.91 units.b) What price should you charge for your product?The price the firm should charge for its product is given by the demand function, P=20-2Q.Substituting Q=1.91 into the demand function,P= 20-2(1.91) = $16.18c) Based on your answers in the previous two questions, how much profit is this firm making at the profit-maximizing level of output?The total profit of the firm is given by the difference between the revenue and the total cost.TR= P x Q = 16.18 x 1.91 = $30.92TC= 100-2(1.91)^3-100(1.91)+34(1.91)^2 = $60.34Profit = TR- TC= $30.92-$60.34= -$29.42At the profit-maximizing output of 1.91, the firm is incurring a loss of $29.42.

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Answer:

Figure ABCD was formed by first translating figure ABCD \(\boxed{5}\)  units left and \(\boxed{4}\) units down, and then reflecting across the \(\boxed{\textrm{x}}\) -axis

Step-by-step explanation:

To determine the translated units take any point in the pre-image ABCD and see the relative position of the corresponding point in the translated image A'B'C'D'

All other points and hence the entire pre-image will be translated by the same amount

So the answer is 5 units left, 4 units down and reflected across the x-axis

(a) Point estimate (mean difference): 2.2 tomatoes. (b) The standard deviation of differences: Approximately 3.47. (c) The test statistic: Approximately 1.38.

To perform a t-test for the population mean difference, follow these steps:

(a) Calculate the point estimate (mean difference): The point estimate is the mean difference between the yields of fertilizer A and fertilizer B.

Mean difference = (Sum of differences) / Number of pairs

Using the given data gives:

Mean difference = ((7-4) + (6-7) + (5-6) + (8-5) + (10-3)) / 5

Subtracting gives:

Mean difference = (3 - 1 - 1 + 3 + 7) / 5

Solving gives:

Mean difference = 11 / 5

Dividing gives:

Mean difference = 2.2

(b) Calculate the standard deviation of the differences:

To calculate the standard deviation of the differences, we need to calculate the squared differences, find their sum, divide by (n-1), and then take the square root.

Squared differences:\((3 - 2.2)^2, (-1 - 2.2)^2, (-1 - 2.2)^2, (3 - 2.2)^2, (7 - 2.2)^2\)

Solving gives:

Sum of squared differences = (0.64 + 12.96 + 12.96 + 0.64 + 21.16)

Solving gives:

The sum of squared differences = 48.36

The standard deviation of the differences \(= \sqrt{48.36 / 4}\)

Solving gives:

The standard deviation of the differences \(= \sqrt{2.09}\)

Rounded to three decimal places

The standard deviation of the differences ≈ 3.47

c) Calculate the test statistic:

The test statistic (t) = (Point estimate - Null hypothesis value) / (Standard deviation /√(sample size))

Let's assume the null hypothesis is that there is no difference between the two fertilizers

(i.e., mean difference = 0).

\(t = (2.2 - 0) / (3.47 / \sqrt5)\)

Substituting \(\sqrt 5 = 2.236\)

t = 2.2 / (3.47 / 2.236)

Rounded to two decimal places

t ≈ 1.378

So, the test statistic is approximately 1.378.

The gardener can compare this test statistic to critical values from the t-distribution to determine whether the difference between the two fertilizers is statistically significant at a certain significance level. If the calculated test statistic is greater than the critical value, she ma

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​

Using the z-distribution, we have that:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

Item a:

We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.

Item b:

Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.

Item c:

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066\)

The interval is (0.0339, 0.066).

Item d:

We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.

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Answer:

Let's assume the number of people called is "x".

The ratio of successful signups to the number of people called is 0.125, which can also be written as 1/8. Therefore, the number of successful signups can be expressed as (1/8)x.

We know that the salesperson has 25 signups this month, so we can write the equation as:

(1/8)x = 25

To solve for x, we can multiply both sides by 8:

x = 200

Therefore, the salesperson called 200 people this month.

After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ are given below.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

A pharmaceutical company wants to test the effectiveness of a new allergy drug.

The company identifies 250 females​ 30–35 years old who suffer from severe allergies.

The subjects are randomly assigned into two groups.

One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug.

After six​ months, the​ subjects' symptoms are studied and compared.

Here, 30-35 year-old girls are used to test the new allergy medication's effects.

(a)

Females between the ages of 30 and 35 who are the test subjects are the experimental units.

The new allergy medication, whose results are being studied, is the remedy.

It's best to choose C.

(b)

A bias may develop if a researcher or patient knows whether subjects received a medication or a placebo.

In this case, choice B is preferable.

(c)

If neither the researcher nor the subject knew whether they were receiving a medicine or a placebo, the study would be considered double-blind.

In this case, choice A is preferable.

Therefore, all the correct choices are given above.

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The complete question is given in the image.

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

Therefore, 175 visitors went to screen 3.

Step-by-step explanation:

Answer:

Answer below :)

Step-by-step explanation:

To determine which bus is the most consistent, we need to look at the measures of variability for each bus. The two measures of variability that are commonly used are the range and the interquartile range (IQR).

The range is the difference between the maximum and minimum values in a dataset. It gives an idea of how spread out the data is but can be affected by extreme values or outliers. The IQR is a better measure of variability as it is not affected by extreme values and is a more robust measure of variability.

Looking at the given data, Bus 47 has a range of 8 and an IQR of 8, while Bus 14 has a range of 6 and an IQR of 6. This indicates that Bus 14 has less variability in its travel times than Bus 47.

Therefore, we can conclude that Bus 14 is the most consistent in terms of travel times.