D Question 30 A researcher hypothesizes that plants will be taller after being given plant food compared to before. Height is measured in centimeters. Which test BEST fits for this study? O independen

68.18% is the right answer

The number of units sold in 2021 = 13,300 units.

The number of units that would have to be sold in 2022 to reach the stockholder's desired profit level = 15,200 units.

Assuming that Cullumber company sells the same number of units in 2022 as it did in 2021, the selling price in order to reach the stockholder's desired profit level = $160.

The net income of a company is its profit function, derived by the formula:

Profit = Sales - Cost.

Sales are the product of the number of units sold and per unit selling price.

Cost is the sum of fixed costs and the product of the number of units produced to the variable cost per unit.

Assuming the number of units sold in 2021 to be x,

we can say sales = $152x, and

cost = ${574800 + 96x}.

Therefore, profit = sales - cost,

or, 170000 = 152x - {574800 + 96x},

or, 170000 = 56x - 574800

or, 56x = 574800 + 170000 = 744800,

or, x = 744800/56 = 13300.

Therefore, the number of units sold in 2021 was 13,300.

In 2022, the desired profit = $170,000 + $106,400 = $276,400.

Assuming the number of units sold in 2022 to be n, at the same unit data and fixed cost, we can say that:

Sales = $152n, and

Cost = ${574800 + 96n}.

Therefore, profit  sales - cost,

or, 276400 = 152n - {574800 + 96n},

or, 276400 = 56n - 574800,

or, 56n = 574800 + 276400 = 851200,

or, n = 851200/56 = 15200.

Therefore, the number of units sold in 2022 should be 15,200 to reach the desired profit of the stakeholders.

When the number of units sold in 2022 is the same as in 2021, that is, the number of units = 13,300, we assume the per unit selling price to be $P.

Now we can say that,

Sales = $13300P.

Costs = ${574800 + 96*13300} = ${574800 + 1276800} = $1851600.

Therefore, profit = sales - cost,

or, 276400 = 13300P - 1851600,

or, 13300P = 1851600 + 276400 = 2128000,

or, P = 2128000/13300 = 160.

Therefore, the new selling price per unit to reach stockholders' desired profit, assuming the number of units sold in 2022 to be the same as in 2021 is $160.

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Answer:

-251

Step-by-step explanation:

the discriminant .b^2-4ac

=1-4×(-9)×(-7)

=1-252=-251

Answer:

1

Step-by-step explanation:

Given,

Mass ( m ) = 500 g

Volume ( V ) = 500 ml

To find : Density ( D ) = ?

Formula : -

D = m / V

D = 500 / 500

D = 1 g/ml

Hence,

1 g/ml is the density of a substance that has a mass of 500 g and a volume of 500mL.

Hence, the equation has no solution. The correct option is option C.

The expected value of a binomial random variable is the mean number of successes in a given experiment. In this case, the binomial random variable is denoted by x and the probability of success is 0.84. If 67 trials are conducted, where n=67 and p=0.84. Thus, the expected value of x is 56.28.

This means that, on average, 56.28 successes out of 67 trials are expected to occur when the probability of success is 0.84. This can be visualized as rolling a dice with a 4/5 chance of success 67 times. The expected value represents the average number of times the dice will land on 4 or 5, which is 56.28. This is also the same as saying that 56.28 successes, on average, are expected to occur out of every 67 trials.

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To find the equation of a line in slope-intercept form (y = mx + b) that passes through the points (-2, 2) and (7, -4), we first need to determine the slope (m) of the line.

The slope (m) can be calculated using the formula:

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

Substituting the coordinates (-2, 2) and (7, -4) into the formula, we get:

m = (-4 - 2) / (7 - (-2)) = -6 / 9 = -2/3

Now that we have the slope (m), we can use it along with one of the given points to find the y-intercept (b).

Let's use the point (-2, 2) and substitute the values into the slope-intercept form:

2 = (-2/3)(-2) + b

2 = 4/3 + b

b = 2 - 4/3

b = 2/3

Therefore, the equation of the line in slope-intercept form is:

y = (-2/3)x + 2/3

By using the formula for slope, we calculate the slope of the line passing through the given points. Substituting one of the points into the slope-intercept form equation, we solve for the y-intercept. Finally, we combine the slope and y-intercept to obtain the equation of the line in slope-intercept form, which is y = (-2/3)x + 2/3.

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The equation when solved for the variable 'c' is c = P-5/ 2

A subject of formula can be defined as the variable that is written or denoted in terms of other variables in an equation or expression.

It is known as the variables being worked out in an equation. It is allowed to stand on its own over the equality sign.

Given the equation;

P = 2c + 5

To make the variable 'c' the subject of formula, we take the following steps:

Take 5 over the equality sign

P - 5 = 2c

Now, divide both sides by the coefficient of 'c' which is 2

2c/ 2 = P - 5/ c

Find the quotient

c = P-5/ 2

Thus, the equation when solved for the variable 'c' is c = P-5/ 2

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Answer:

20/3

Step-by-step explanation:

Answer:

20/3

Step-by-step explanation:

Answer:760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

According to the given information, 46% of people believe that there is life on other planets. A scientist, who disagrees with this finding, conducted a survey of 120 randomly selected individuals and found that 48 of them believed in life on other planets. To determine if there is sufficient evidence to conclude that the percentage differs from 48 at a significance level (α) of 0.10, a hypothesis test is needed.

The null hypothesis (H0) states that the percentage is equal to 48%, while the alternative hypothesis (H1) states that the percentage differs from 48%. In this case, the sample proportion (p) is 48/120 = 0.4, and the hypothesized proportion (p0) is 0.48.

To perform the hypothesis test, we need to calculate the test statistic (z) and compare it to the critical values. The test statistic can be calculated using the formula z = (p - p0) / √(p0 * (1 - p0) / n), where n is the sample size. After calculating the test statistic, we compare it to the critical values corresponding to α = 0.10.

If the test statistic falls within the critical region, we reject the null hypothesis and conclude that there is sufficient evidence to claim that the percentage differs from 48%. If it falls outside the critical region, we fail to reject the null hypothesis and cannot conclude that the percentage differs from 48% based on this sample.

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The value of x is 4√6. The value of y is 4√2.

What are similar triangles?

If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.

Consider △ABC:

Height = AC = x, Hypoteneous = BC = 4+8 = 12.

Consider △ADC:

Height = DC = 8, Base = AD = y, Hypoteneous =  AC = x

Consider △ABD:

Height = AD = y, Base = 4.

The triangle ABC is similar to ADC, and ABC is similar to ABD. Since all have one right angle and one angle is common.

The ratio of the corresponding sides of similar triangles is constant.

Consider △ABC and △ADC:

AC/DC = BC/AC

x/8 = 12/x

x² = 12×8

x = 4√6.

Since ABC is similar to ADC and ABC is similar to ABD. Then ADC is similar to ABD.

Consider △ADC and △ABD:

DC/AD = AD/BD

8/y = y/4

y² = 4×8

y = 4√2

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Answer:

The right answer is C.

Step-by-step explanation:

The parent function is:

\(f(x)=x^3\)

If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.

\(f(x)=(x-8)^3\)

graph shifted toward right by \(8\) units right

\(f(x)=(x-8)^3+3\)

graph shifted toward right by \(3\) units up

Thus the new function is:

\(g(x)=(x-8)^3+3\)

Answer:

Yes you are correct.

Step-by-step explanation:

Answer:

This is a statistical probability problem that requires the use of the normal distribution. We can use the normal approximation to estimate the number of passengers that actually show up for the flight.

Let X be the number of passengers that show up for the flight. Since there are 560 tickets sold and the probability of a passenger not showing up is 1%, we have that the expected value of X is E(X) = 560 * (1 - 0.01) = 554.4 and the variance of X is Var(X) = 560 * 0.01 * 0.99 = 5.544.

To calculate the probability that there are more passengers showing up for the flight than seats available, we need to calculate the probability that X is greater than 555.

Using the normal distribution, we can calculate this probability as follows:

Z = (555 - 554.4) / sqrt(5.544) = 0.436

Using a normal distribution table or calculator, we can find the probability that Z is greater than 0.436 as P(Z > 0.436) = 1 - P(Z < 0.436) = 1 - 0.6664 = 0.3336.

Therefore, the probability that there are more passengers showing up for the flight than seats available is approximately 0.3336.

To apply the continuity correction, we can adjust the value of 555 to 555.5.

Z = (555.5 - 554.4) / sqrt(5.544) = 0.710

Using a normal distribution table or calculator, we can find the probability that Z is greater than 0.710 as P(Z > 0.710) = 1 - P(Z < 0.710) = 1 - 0.7611 = 0.2389.

Therefore, the probability that there are more passengers showing up for the flight than seats available, with the continuity correction, is approximately 0.2389.

Step-by-step explanation:

Since the p-value is less than the significance level of 0.10, we reject the null hypothesis. Since the confidence interval does not contain 0, it supports the alternative hypothesis that commercial trucks have a higher proportion of violations than passenger cars.

a. Hypothesis Test:

Null Hypothesis: The proportion of passenger cars with only rear license plates is equal to or greater than the proportion of commercial trucks with only rear license plates.

Alternative Hypothesis: The proportion of commercial trucks with only rear license plates is greater than the proportion of passenger cars with only rear license plates.

Let p1 be the proportion of passenger cars with only rear license plates, and p2 be the proportion of commercial trucks with only rear license plates.

The test statistic for comparing two proportions is the z-test.

z = ((p1 - p2) - 0) / √(p_hat * (1 - p_hat) * (1/n1 + 1/n2))

where p_hat = (x1 + x2) / (n1 + n2) is the pooled sample proportion, and x1 and x2 are the number of successes (only rear license plates) in the two samples, and n1 and n2 are the sample sizes.

Plugging in the values, we get:

p1 = 227/2094 = 0.1084

p2 = 46/330 = 0.1394

p_hat = (227 + 46) / (2094 + 330) = 0.1116

n1 = 2094

n2 = 330

z = ((0.1084 - 0.1394) - 0) / √(0.1116 * (1 - 0.1116) * (1/2094 + 1/330))

= -1.68

The p-value for this one-tailed test is P(Z < -1.68) = 0.0475.

Conclusion: The data provides sufficient evidence to support the claim that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

b. Confidence Interval:

We can also construct a confidence interval to estimate the difference in proportions with a specified level of confidence.

A 90% confidence interval for the difference in proportions can be calculated as:

(p1 - p2) ± z√(p1(1-p1)/n1 + p2*(1-p2)/n2)

Plugging in the values, we get:

(p1 - p2) ± 1.645√(0.1084(1-0.1084)/2094 + 0.1394*(1-0.1394)/330)

= (-0.0499, 0.0094)

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Answer:

Step-by-step explanation:

(x+4)² + y² = 1.5²

Answer:

20

Step-by-step explanation:

(1/4) × 80

=20

there fore, 20 males have role in the pkay

Answer:

Solution in photo :)

Step-by-step explanation:

Answer:

278°

Step-by-step explanation:

m arc BAC = 360 -(2×41)

= 360 - 82 = 278°

Answer:

x = 3

Step-by-step explanation:

(66) + (8x) = 90

x = 3

hope this helps!!!

Answer:

b and e

Step-by-step explanation:

The statistical significance of the overall model fit is determined by the p-value for the F-statistic in a regression model.

In further detail, it provides us with the likelihood that, under the null hypothesis that the genuine coefficients in the model are all zero, we will see an F-statistic that is at least as severe as the one estimated from the data.

The widget cost regression model would be considered statistically significant if the F-statistic had a low p-value (usually less than 0.05) and at least one of the predictor variables had a significant linear connection with the response variable.

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True statement is Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)

Convert to decimals first

Player 1: 7/11 ≈ 0.636

Player 2: 6/9 = 2/3 ≈ 0.667

Player 3: 5/7 ≈ 0.714

From here we have to compare the options

1. False. Player 1 is more likely to hit the ball than Player 2 because P(Player 1) >P(Player 2)

Reason

(0.636 < 0.667)

2. False. Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)

Reason

(0.667 < 0.714)

3. False. Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)

Reason

(0.636 < 0.714)

4. True. Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)

Reason

(0.714 > 0.667)

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Answer:

Step-by-step explanation:

97

The required inverse function  \(f^{-1}(x)\) = (2x - 3 ) / 4.

Given that,
f(x) = (2x+3) / 2

To find  \(f^{-1}(x)\)

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Let f(x) = y
y = (2x + 3) / 2
y * 2 = 2x + 3
2y - 3 = 2x
x = (2y - 3) / 2
Now replace y = x and x = \(f^{-1}(x)\)
 \(f^{-1}(x)\) = (2x - 3 ) / 4

Thus,  the required inverse function  \(f^{-1}(x)\) = (2x - 3 ) / 4.

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The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

Answer:

17c + 18

Step-by-step explanation:

Distributive property: a(b + c) =a*b +a*c

8c + 9(c +2) = 8c + 9*c + 9*2    {Distributive property}

                    = 8c + 9c + 18  

Combine like terms, her 8c & 9c are like terms

                      = 17c + 18