The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:

Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book.

Who can read the greatest number of pages in a day? plssss hurry uppp :-(

Answer:

(A) -5 hr 51 mins (B) 7:51 am/pm

Step-by-step explanation:

(A):

  6 hr  51 mins

-

  11 hr  0 mins

___________

-5 hr   51 mins

(B):

6 hr 51 mins - 11 hr 0 mins = 18 hr 51 mins - 11 hr 0 mins = 7 hr 51 mins am/pm or 7:51 am/pm.

Hope this helps!

P.S. Feel free to suggest any edits.

Answer:

Step-by-step explanation:

If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle So, ADC = 124/2 => ⛰ ADC = 62

Answer:

Step-by-step explanation:

the average rate of change is m= -1/4

The investment's expected return is 5.95%.

The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.

To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.

In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.

Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.

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The inverse of the function f(x) = (1/2)x is f^(-1)(x) = 2x.

To find the inverse of a function, we need to switch the roles of x and y and solve for y. Let's follow the steps to find the inverse of the function f(x) = (1/2)x:

Step 1: Replace f(x) with y: y = (1/2)x.

Step 2: Swap x and y: x = (1/2)y.

Step 3: Solve for y: Multiply both sides of the equation by 2 to isolate y: 2x = y.

Step 4: Replace y with f^(-1)(x): f^(-1)(x) = 2x.

Therefore, the inverse of the function f(x) = (1/2)x is f^(-1)(x) = 2x.

We can verify this by composing the function and its inverse. If we apply f(x) followed by f^(-1)(x), we should get the original value of x. Let's check:

f(f^(-1)(x)) = f(2x) = (1/2)(2x) = x.

As expected, the composition of the function and its inverse gives us the original value of x, indicating that we have found the correct inverse.

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Answer:

the first one ithink

Step-by-step explanation:

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Answer:

Step-by-step explanation:

The z-score for a raw score of 6 is 0.5.A z-score indicates how many standard deviations a raw score is away from the mean.

To calculate the z-score for a raw score of 6 given a mean of 4 and a standard deviation of 4, we can use the formula:

z = (raw score - mean) / standard deviation

Substituting the values into the formula, we get:

z = (6 - 4) / 4

z = 0.5

Therefore, the z-score for a raw score of 6 is 0.5.

In this case, a z-score of 0.5 indicates that the raw score of 6 is half a standard deviation above the mean of 4.

Z-scores are useful because they allow us to compare scores from different distributions. For example, if we have two sets of data with different means and standard deviations, we can convert them into z-scores to compare them directly. A positive z-score means that the raw score is above the mean, while a negative z-score means that the raw score is below the mean. The magnitude of the z-score indicates how far the raw score is from the mean in terms of standard deviations.

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Answer: -1

So I Simplify the expression to the math problem -7+2 +4 = and got -1

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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It is reasonable to estimate that about 40 students are in band.

To determine if it's reasonable to estimate that about 40 students are in band, we need to first find out how many students are on the debate team and how many participate in various sports.

We know that 2/5 of the students are on the debate team. So, the number of students on the debate team is:

2/5 x 260 = 104

We also know that 45% of the students participate in various sports. So, the number of students in sports is:

45% x 260 = 117

To find out how many students are in band, we can subtract the number of students on the debate team and the number of students in sports from the total number of seventh graders:

260 - 104 - 117 = 39

Thus, this number of students in band is reasonable.

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Yes, it is reasonable to estimate that about 40 students are in the band.

it is reasonable to estimate that about 40 students are in the band

To see why, let's break down the number of students in each activity based on the given information:

Debate team: 2/5 of 260 students = 104 students

Sports: 45% of 260 students = 117 students

Band: the remaining students after subtracting the debate team and sports participants = 260 - 104 - 117 = 39 students

So, according to this breakdown, there are 39 students in the band. Since the question asks if it's reasonable to estimate that about 40 students are in the band, the answer is yes.

However, it's important to note that this estimate is based on rounding and assuming that the given percentages are exact.

In reality, the actual number of students in the band could be slightly different.

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Answer:

x = 25

Step-by-step explanation:

Since the sides are congruent, the angles are congruent.

2x + 10 = 60

2x = 50

x = 25

Answer:

Step-by-step explanation:

From the given figure It is isosceles triangle. Here 2x+ 10 and 60° are the opposite angles.

The two angles of an isosceles triangle, opposite to equal sides, are equal in measure.

\(\sf 2x + 10 = 60 \)

\(\sf 2x = 60 - 10 \)

\(\sf 2x = 50 \)

Divide both sides by 2 ,

\(\sf x = 25° \)

When the patient recovery time from a specific surgical procedure is normally distributed, with a mean of 5.2 days and a standard deviation of 2.3 days, the probability of spending more than 2 days in recovery will be 0.61.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. Information about the likelihood that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is used in epidemiology to comprehend the connection between exposures and the risk of health effects.

Here,

z=(X-μ)/σ

X=2

μ=5.2

σ=2.3

Z=(2-5.2)/2.3

Z=-1.39

-1.39+1

=0.39

1-0.39=0.61

The probability of spending more than 2 days in recovery will be 0.61 when the patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 2.3 days.

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Answer:450

Step-by-step explanation:
350 + 150 + 200 + 50

Answer:

9

Step-by-step explanation:

3x+8=35

3x=27

x=9

Answer:

60 cubic units

Step-by-step explanation:

4 x 5 x 3

A minimum sample size of 1069 is required to estimate the proportion of elementary, middle, and high school teachers who contributed to a candidate during a recent election cycle such that the margin of error is no more than 0.03 for a 95 percent confidence interval.

In order to estimate the proportion of elementary, middle, and high school teachers who contributed to a candidate during a recent election cycle, a researcher in campaign finance law wants to determine the minimum sample size such that the margin of error is no more than 0.03 for a 95 percent confidence interval.

Assuming that the researcher wants to establish a 95% confidence interval, the level of significance (α) is 1 - 0.95 = 0.05. Furthermore, we can assume that there is no prior knowledge of the population proportion, which is the proportion of elementary, middle, and high school teachers who contributed to a candidate during the election cycle. The standard deviation of a proportion is calculated using the following formula:

\(σ_p=√(p(1−p)/n)\)

Here, n is the sample size and p is the proportion of elementary, middle, and high school teachers who contributed to a candidate during the election cycle. Because there is no prior knowledge of p, it is assumed that the sample proportion, p-hat, is equal to 0.5.

Using these values, we can calculate the minimum sample size required for a margin of error of 0.03 for a 95 percent confidence interval.

α/2=0.025 can be determined by dividing the level of significance (α) by two. This will allow us to calculate the appropriate critical value. To calculate the critical value, we can look up the value of 0.025 in a standard normal distribution table.

Z_α/2=1.96 is the corresponding z-value for a 95% confidence interval.With the critical value, we can now calculate the minimum sample size using the formula below:

\(n = (Z^2) (p) (1 - p) / (E^2)\)

where, Z = critical valueα = level of significance (0.05)

E = margin of error (0.03)

p-hat = 0.5

The minimum sample size for a 95% confidence interval with a margin of error of 0.03 and no prior knowledge of the population proportion is as follows:

\(n = (1.96)^2 (0.5) (0.5) / (0.03)^2n = 1068.44444 ≈ 1069\)

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Answer:

10 units

Step-by-step explanation:

352₈ = 3•8² + 5•8¹ + 2•8⁰

352₈ = 3•64 + 5•8 + 2•1

352₈ = 192 + 40 + 2

352₈ = 234

Answer:

The value of \(x\):

\(x = -2\)

Step-by-step explanation:

Find the value of \(x\):

\(-9x + 1 = -x + 17\)

-Add both sides by \(x\):

\(-9x + 1 + x = -x + x + 17\)

\(-8x + 1 = 17\)

-Subtract both sides by \(1\):

\(-8x + 1 - 1 = 17 - 1\)

\(-8x = 16\)

Divide both sides by \(-8\):

\(\frac{-8x}{-8} = \frac{16}{-8}\)

\(x = -2\)

So, the final answer would be \(x = -2\) .

Answer:

x=−2

Step-by-step explanation:

−9x+1=−x+17

Add x to both sides.

−9x+1+x=−x+17+x

−8x+1=17

Subtract 1 from both sides.

−8x+1−1=17−1

−8x=16

Divide both sides by -8.

−8x/-8 = 16/-8

Answer:

x=−2

Answer:

15

Step-by-step explanation:

The equation of the parallel line is y = x + 17.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

We are given that;

The table of line

Now,

The given line is shown in blue on the graph. We can see that it passes through two points: (0, 3) and (4, 7). We can use these points to find the slope of the given line:

m = (y2 - y1) / (x2 - x1)

m = (7 - 3) / (4 - 0)

m = 4 / 4

m = 1

The slope of the parallel line is also 1, since parallel lines have the same slope.

The point P is shown in red on the graph. We can see that its coordinates are (-8, 9). We can use this point and the slope to find the equation of the parallel line. We can use either slope-intercept form or point-slope form. We will use point-slope form here:

y - y1 = m(x - x1)

y - 9 = 1(x - (-8))

y - 9 = x + 8

y = x + 17

Therefore, by the given slope the answer will be y = x + 17.

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Answer: 11/16

Step-by-step explanation:

-3/8 = -6/16

5/16 - (-6/16) = 11/16

You need to add -3/8 with 11/16 to get 5/16

A Histogram is a graph so you will have to graph it yourself, however, ill tell you the values / amount of each of them.

1 140    2 160     1 165    1 180     1 220     1 235    1 240    1 250    1 260  
1 280    3 285    1 290    2 300    1 305    2 310     2 315     2 320     1 330    
1 340     1 345      1 350     1 355     2 360    1 380     1 395     1 420     2 460

I hope this helps :)

Feel free to rate 5 stars! <33

Answer:

8 - x

Step-by-step explanation:

The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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a) The average selling price in Bloomington is $301,596.27.

b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.

c) There are 98 houses made primarily of brick and 102 not.

d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.

e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

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