Select the correct answer from each drop-down menu.
Diego plays center forward on his soccer team. On average, he scores 1.25 goals per match. The tally of his total goals for the season is given by function f(x) = 1.25(38 − x), where x is the number of matches he plays. What is the inverse of the function?
The inverse function is f-1(x) = . In the inverse function, the variable x represents the .

Empirical, A knowledge of statistics is essential for anyone who wants to make informed decisions based on empirical evidence.

A knowledge of statistics helps us make decisions based on empirical evidence. Empirical evidence is data that has been collected through observation and experimentation, and statistics is a method for analyzing and interpreting this data. By using statistical tools and techniques, we can draw conclusions from empirical evidence and make informed decisions based on this information.

Statistics plays a crucial role in modern society, from medicine and public policy to business and finance. A knowledge of statistics enables individuals to understand and analyze data, to make informed decisions based on empirical evidence, and to communicate findings to others. Statistics helps us to quantify uncertainty and variability, to identify patterns and trends, and to make predictions based on past data. By using statistical methods, we can determine the probability of certain outcomes, assess risks and benefits, and evaluate the effectiveness of interventions or policies. For example, in medical research, statistics is used to test the effectiveness of new treatments or therapies, to determine the safety of drugs, and to identify risk factors for diseases. In public policy, statistics is used to analyze demographic trends, to assess the impact of social programs, and to inform decision-making around issues such as climate change or public health.

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Answer:

No, the sides of a right triangle must obey the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, 8^2 + 15^2 = 64 + 225 = 289, which is not equal to 17^2 = 289. Therefore, 8cm, 15cm, and 17cm do not form a right triangle.

Step-by-step explanation:

Answer:

C.  1.11

Step-by-step explanation:

Ball: f(x) = 24 − 16x^2

Balloon: g(x) = 4x

4x = 24 - 16x^2

16x^2 + 4x - 24 = 0

4x^2 + x - 6 = 0

\( x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)

\( x = \dfrac{-1 \pm \sqrt{1^2 - 4(4)(-6)}}{2(4)} \)

\( x = \dfrac{-1 \pm \sqrt{1 + 96}}{8} \)

\( x = \dfrac{-1 \pm \sqrt{97}}{8} \)

\( x = \dfrac{-1 + \sqrt{97}}{8} \)   or   \( x = \dfrac{-1 - \sqrt{97}}{8} \)

We discard the negative solution.

\( x = 1.11 \)

Answer: C.  1.11

Answer:

80 mins

Step-by-step explanation:

80 mins from 8.25 will be 10.15

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

exact form:

1/4

decimal form:

0.25

116= 1

is correct

wieyrb;ewury b2e;qpwiybrq;wiy

Total distance traveled by the luxury car on a gallon of gas is 24 miles

Let the distance traveled by luxury car with a 8 cylinder engine be x miles

And the distance traveled by midsize car with a 4 cylinder engine be y miles

Now as per the question,

Distance traveled by a midsize car with a 4 cylinder engine is 34 miles

Therefore, x = 34

Now, distance traveled by a midsize car with 4 cylinder engine is 10 miles more than a luxury car with 8 cylinder engine, therefore we can write

x - y = 10

But x = 34

Therefore, 34 - y = 10

                y = 34 - 10 = 24

Luxury car travelled 24 miles.

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bottem left and maybe top right.

if it means a single 90 degree rotation then its only bottem left but it doesn't specify so it could also be a single 180 degree rotation for top right

Answer:

y =200

Step-by-step explanation:

Y varies directly with square of x is given by y = kx ²

72 = k (3)² = 9k

k = 72/9 = 8.

y = kx²

y = (8)(5)²

y = 200

Answer:

r = -2

Step-by-step explanation:

We can use the slope formula to find r.

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

3 = ( 19-4)/(r- -7)

3 = 15/(r+7)

Multiply each side by (r+7).

3 ( r+7) = 15

Divide each side by 3.

r+7 = 15/3

r+7 = 5

Subtract 7 from each side.

r+7-7 = 5-7

r = -2

Answer:It is the one where the subway is the biggest

Step-by-step explanation:

because in the graph  it shows the subway is the biggest number

Answer:

Decimal form to nearest hundredth= 0.36

percent form to nearest tenth= 35.7%

Improper fraction= 11/30.8

Answer:

In 287.9412, 9 is at the tenth place. So , the answer is 287.9.

Step-by-step explanation:

Null hypothesis: There is no significant difference in the performance of the five sorghum cultivars under rainfed conditions.

Blocking: The blocking in this study was useful as indicated by the non-significant F-value for the blocks. It helps reduce the impact of potential confounding factors by creating homogeneous groups within the experiment.

Efficiency of experimental design: It cannot be determined from the given information whether another experimental design would have been more efficient.

Target population: The target population in this study is the set of all sorghum cultivars under rainfed conditions.

Null hypothesis: The null hypothesis for this study would state that there is no significant difference in the performance of the five sorghum cultivars under rainfed conditions. This means that the means of the treatments (sorghum cultivars) are equal.

Blocking: The blocks in the study were used to control for any potential variability among different locations or environmental conditions. By assigning each treatment randomly within each block, the effect of the blocking factor can be separated from the treatment effect. In this study, the non-significant F-value for the blocks suggests that the blocking was effective in reducing the impact of potential confounding factors.

Efficiency of experimental design: The given information does not provide enough details to determine whether another experimental design would have been more efficient. The choice of design depends on various factors such as the nature of the experiment, available resources, and specific objectives.

Target population: The target population in this study refers to the set of all sorghum cultivars under rainfed conditions. The study aims to draw conclusions about the performance of these cultivars in similar conditions.

Reason for blocking: Blocking may have been used in this study to account for spatial or environmental variation that could potentially affect the performance of the sorghum cultivars. By blocking, the experimenters aimed to create groups of experimental units that are similar within each block, reducing the variability caused by these factors and allowing for a more accurate assessment of the treatment effects.

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Answer:

Nickel and penny.

Step-by-step explanation:

The given pattern is

half dollar, quarter, dime...

This is a part of the pattern of US coins.

The pattern of US coins in decreasing order is

Dollar, half dollar, quarter, dime, nickel, penny.

It is clear that the next 2 words in this pattern after dime are nickel and penny.

Therefore, the required 2 words are nickel and penny.

Answer:

Step-by-step explanation:

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(5,\:4\right)\\\\m=\frac{4-2}{5-\left(-1\right)}\\\\m = \frac{2}{5+1}\\ \\m = \frac{2}{6} \\\\m = \frac{1}{3}\)

Answer: The volume of a rectangular prism can be found by the formula lwh. I plug in the numbers I know and set up an equation.

20*x*30=3600

600*x=3600

x=6

The width is 6 cm

Step-by-step explanation:

The probability that exactly 15 of the 20 randomly selected adult smartphone users use their smartphones in meetings or classes is 0.1805.

Calculating the probability of exactly 15 out of 20 randomly selected adult smartphone users using their smartphones in meetings or classes:

1. Calculate the probability of an individual using their smartphone in meetings or classes: p = 0.57.

2. Calculate the combination of 15 out of 20: C(20, 15) = 15504.

3. Calculate the probability of 15 out of 20 using their smartphones in meetings or classes: \(p^15(1-p)^5 = (0.57)^15(1-0.57)^5 = 0.1805.\)

4. Multiply the combination of 15 out of 20 by the probability of 15 out of 20 using their smartphones in meetings or classes: \(C(20, 15) * p^15(1-p)^5 = 15504 * 0.1805 = 2777.872.\)

5. Round the final answer to four decimal places: 2777.872 = 0.1805.

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(a) Construct confidence intervals are : 90%: [428.95, 444.05], 95%: [427.13, 445.87], 99%: [423.67, 449.33].

(b) The 99% confidence interval has the widest interval.

(a) To construct confidence intervals for the mean breaking strength of the wool fibers, we shall use the given formula:

Confidence interval = sample mean ± (critical value * standard error)

The critical value here will depends on the level of confidence. For a 90% confidence level, the critical value is 1.645 (from the standard normal distribution). For a 95% confidence level, the critical value is 1.96, and for a 99% confidence level, the critical value is 2.576.

Standard error is obtained by dividing the sample standard deviation by the square root of the sample size.

Plugging in the values, we can calculate the confidence intervals:

90% confidence interval:

Lower bound = 436.5 - (1.645 * (11.9 / √20))

Upper bound = 436.5 + (1.645 * (11.9 / √20))

95% confidence interval:

Lower bound = 436.5 - (1.96 * (11.9 / √20))

Upper bound = 436.5 + (1.96 * (11.9 / √20))

99% confidence interval:

Lower bound = 436.5 - (2.576 * (11.9 / √20))

Upper bound = 436.5 + (2.576 * (11.9 / √20))

(b) The width of a confidence interval depends on both the critical value and the standard error. When aiming for a higher level of confidence, the interval becomes wider as it requires a larger critical value. Consequently, it can be concluded that among the given confidence intervals, the one with a 99% confidence level will have the broadest range.

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Answer:

Step-by-step explanation:

Theres no picture

Answer:

Can you show the picture real quick use ctrl shift s to screen shot or window  F11

Step-by-step explanation:

The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.

The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.

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Answer:

The length of the frame is 17

Step-by-step explanation:

The computation of the length of the frame is shown below:

As we know that

The perimeter of a rectangle is

= 2 (length + width)

where,

let us assume the width be x

So, the length is x - 6

And, the perimeter is 80 yards

So, now put these values to the above formula

80 yards = 2 (x - 6+ x)

80 yards = 2 (2x - 6)

80 yards = 4x - 12

92 = 4x

x = 23

So, the length of the frame is

= 23 - 6

= 17

Answer:

Twice a number decressed by five

Answer:

C

Step-by-step explanation:

the product of two and five less than a number

The equation which shows one way to determine the factors of x3 4x2 5x 20 by grouping is x²(x + 4) + 5(x + 4).

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The polynomial equation given in the problem is,

\(x^3 +4x^2 +5x+ 20\)

Take out the greatest common factor from the first two term which is x^2 and from the last two terms which is 5 as,

\(x^2(x +4)+5(x+ 4)\\\)

Simplify it further,

\((x+4)(x^2+5)\)

Thus, the equation which shows one way to determine the factors of x3 4x2 5x 20 by grouping is x²(x + 4) + 5(x + 4).

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Bearing is degrees from north, so we have a triangle ABC where AB=50m is 90-25=65 degrees to the horizontal, A being the starting point. BC=200m is horizontal. AC is the distance we need to find.

Angle ABC is 90+25=115 degrees so we can use the cosine rule to find AC.

AC^2=AB^2+BC^2-2AB.BCcos115=2500+40000+20000cos65=50952.365 approx.

AC=√50952.365=225.73m approx.

(a) The probability that a randomly selected policyholder lives more than 80 years is approximately 0.3106.  (b) Given that a male policyholder just turned 80, the probability that he will live for at least three more years is approximately 0.6166.

(a) To find the probability that a randomly selected policyholder lives more than 80 years, we need to calculate the cumulative probability of survival beyond 80 for both males and females separately, and then weigh them based on the gender distribution.

For males: Using the normal distribution with mean 75 and standard deviation 8, we find the probability of survival beyond 80 is approximately 0.3446.

For females: Using the normal distribution with mean 78 and standard deviation 6, we find the probability of survival beyond 80 is approximately 0.2847.

The weighted probability for a randomly selected policyholder is (0.60 * 0.3446) + (0.40 * 0.2847) = 0.3106.

(b) Given that a male policyholder just turned 80 years old today, we can use conditional probability to calculate the likelihood of him living for at least three more years.

Using the normal distribution with mean 75 and standard deviation 8, the probability of survival beyond 83 (80 + 3) is approximately 0.8621.

Therefore, the probability that a male policyholder, who just turned 80, will live for at least three more years is 0.8621.

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The future value of the loan is approximately $10,070.29.

To find the interest on the loan, we can use the formula:Interest = Principal × Rate × Time

Given:

Principal (P) = $6000

Rate (R) = 8% per year (0.08 as a decimal)

Time (T) = 6 months (0.5 years)

Plugging in the values into the formula:

Interest = $6000 × 0.08 × 0.5 = $240

Therefore, the interest on the loan is $240.

To find the future value of the loan, we can use the formula for simple interest:

Future Value = Principal + Interest

Given:

Principal (P) = $6000

Interest = $240

Plugging in the values into the formula:

Future Value = $6000 + $240 = $6240

Therefore, the future value of the loan is $6240.

For the second scenario:

Given:

Principal (P) = $9275

Rate (R) = 7.57% per year (0.0757 as a decimal)

Time (T) = 13 months (13/12 years)

To find the interest, we can use the same formula:

Interest = Principal × Rate × Time

Plugging in the values into the formula:

Interest = $9275 × 0.0757 × (13/12) = $795.29

Therefore, the interest on the loan is approximately $795.29.

To find the future value of the loan, we can use the same formula as before:

Future Value = Principal + Interest

Plugging in the values into the formula:

Future Value = $9275 + $795.29 = $10,070.29

Therefore, the future value of the loan is approximately $10,070.29.

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A person tosses a coin 15 times. In how many ways can he get 3 heads? The answer is 455 ways.

To find the answer, we can use the formula for combinations, which is:
C(n, k) = n! / (k! * (n-k)!)
Where n is the total number of tosses, and k is the number of heads we want to get.
In this case, n = 15 and k = 3, so we can plug these values into the formula:
C(15, 3) = 15! / (3! * (15-3)!)
C(15, 3) = 15! / (3! * 12!)
C(15, 3) = (15 * 14 * 13 * 12!)/ (3! * 12!)
C(15, 3) = 455
So there are 455 ways to get 3 heads when tossing a coin 15 times.

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Answer:

13/4

Step-by-step explanation:

The link represented by function g multiplies the dependent variable by 9 for every increase of 2 units in the independent variable. The equation that represents g is \(g(x)= 2 \times3^x\),and the function has a value of 2 at 0

Let x be the independent variable, and let g(x) be the dependent variable.

According to the problem, for every 2 units the independent variable increases, the dependent variable is multiplied by 9. This suggests an exponential relationship of the form:

 \(g(x)= a \times b^x\)

where a is the initial value of the dependent variable (when x=0), and b is the growth factor (how much the dependent variable changes for every unit increase in x).

We are given that g(0) = 2, so we can plug in these values and solve for a:

 \(g(0)= a \times b^0\)

a = 2

So now we have:

\(g(x)= 2 \times b^x\)

We still need to find the growth factor b. We are told that the dependent variable is multiplied by 9 for every 2 units the independent variable increases. In other words:

\(g(x+2) = 9 \times g(x)\)

Using our equation for g(x), we can substitute in and simplify:

  \(2 \times b(x+2) = 9 \times 2\times b^x\)

Simplifying, we get:

\(b^2\) = 9

Taking the square root of both sides (we take the positive square root since b must be positive in order for g to be an increasing function), we get:

b = 3

So the final equation for g(x) is:

\(g(x) = 2 \times 3^x\)

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