suppose that a company wishes to predict sales volume based on the amount of advertising expenditures. the sales manager thinks that sales volume and advertising expenditures are modeled according to the following linear equation. both sales volume and advertising expenditures are in thousands of dollars. estimated sales volume

About 50% of the pacemakers had failed at the approximate time of 24 months. ii. Only about 10% of the pacemakers initially implanted were still functioning at the approximate time of 32 months.

(a)

Classes Frequency Relative Frequency Cumulative Relative Frequency

0 - <6 3 0.0337 0.0337

6 - <12 8 0.0899 0.1236

12 - <18 15 0.1685 0.2921

18 - <24 17 0.1910 0.4831

24 - <30 26 0.2921 0.7752

30 - <36 20 0.2247 1.0000

(b)

i. The proportion of those who participated in the study and had pacemakers that did not malfunction within the first year is approximately the cumulative relative frequency of the first two classes, which is 0.0337 + 0.0899 = 0.1236.

p = 0.1236

ii. To find the proportion of pacemakers that required replacement between 1 and 2 years after implantation, we need to subtract the cumulative relative frequency of the first class (pacemakers that did not malfunction within the first year) from the cumulative relative frequency of the third class (pacemakers that malfunctioned between 1 and 2 years after implantation). This is approximately 0.2921 - 0.1236 = 0.1685.

p = 0.1685

(c) The cumulative relative frequency plot is shown below:

i. About 50% of the pacemakers had failed at the approximate time of 24 months.

t = 24 months

ii. Only about 10% of the pacemakers initially implanted were still functioning at the approximate time of 32 months.

t = 32 months

Learn more about pacemakers here

https://brainly.com/question/10657794

#SPJ11

The pair of triangles that are similar to each other will be given below.

Triangle 1: 55°, 45° and Triangle 2: 55°, 80°.

Triangle 1: 105°, 23° and Triangle 2: 52°, 105°.

If any two angles of triangles are equal then the triangles are known as similar triangles.

The measures of two angles of pairs of triangles are given.

Triangle 1: 55° and 45°, then the third angle will be 80°.

Triangle 2: 55° and 80°, then the third angle will be 45°.

They are similar triangles.

Triangle 1: 105° and 23°, then the third angle will be 52°.

Triangle 2: 52° and 105°, then the third angle will be 23°.

They are similar triangles.

More about the similar triangles link is given below.

https://brainly.com/question/25882965

#SPJ1

Answer:

Triangle 1: 55° and 45°, then the third angle will be 80°.

Triangle 2: 55° and 80°, then the third angle will be 45°.

They are similar triangles.

Triangle 1: 105° and 23°, then the third angle will be 52°.

Triangle 2: 52° and 105°, then the third angle will be 23°.

Answer:

∠3 is 70°

Step-by-step explanation:

∠1 is 50° since it is across from another 50° angle

and then you use the equation x+25+2x+50=180 to find x

x then equals 35°

you then use the alternate interior angle theorem to say that ∠3 is 2x, or 70°

Answer:

It is 70

Step-by-step explanation

right on egde 2020.

you just have to divide the value by 100 and then multiply by 3 (the order doesn't matter tho) so,

131000/100 = 1310 x 3 = 3930

the commission is $3930.00

hope it helps :)

Multiply the price by 40%

700 x 0.40 = 280

40% off would be $280, which is greater than $150

40% off is the better price.

Answer:

40% off is the better price

Step-by-step explanation:

I hope this helps!

Answer:

1. works

2. works

3. does not work

4. does not work

5. does not work because it does not exist

Step-by-step explanation:

if you have room on your paper, drawing a diagram would be super helpful.

I don't know if I'm 100% right so check with other people before submitting

Answer:The answers are A and B (AE =CE, BAE=CDE)

Step-by-step explanation:

Answer:

x <−11 or x >7

Step-by-step explanation:

Answer:

x < –11 or x > 7p

explanation:

I got it right on the test.

The present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% can be calculated by the formula:PV = FV / (1 + r/m)^(m*t)Here, PV stands for Present Value FV stands for Future Valuer stands for the interest rate (9%)m is the number of times the interest is compounded (semi-annually, so m = 2)t is the number of years (5)

After substituting the values in the formula, we get:PV = 13,000 / (1 + 0.045)^10PV = 13,000 / 1.55709768854PV = $8,349.58. We can use the concept of present value (PV) and future value (FV) to solve this question. When the cash flow is considered at different points of time, the money's value changes with the time value of money. The time value of money takes into consideration the amount of interest that could be earned on the sum of money if invested. Present value (PV) is a mathematical concept that represents the current worth of a future sum of money, taking into account the time value of money and the given interest rate. PV is calculated by using a discount rate that is determined by the interest rate and the length of time between the present and future payment dates. Future value (FV) is a mathematical concept that represents the future worth of a present sum of money, taking into account the time value of money and the given interest rate. FV is calculated by using a compound interest rate that is determined by the interest rate and the length of time between the present and future payment dates. To calculate the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9%, we can use the formula PV = FV / (1 + r/m)^(m*t), where PV is the present value, FV is the future value, r is the interest rate, m is the number of times the interest is compounded per year, and t is the number of years. In this case, we know that FV is $13,000, r is 9%, m is 2 (since it is compounded semi-annually), and t is 5. After substituting these values into the formula, we get PV = $8,349.58. Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.

Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.

To learn more about compound rate visit:

brainly.com/question/23634575

#SPJ11

The answer is A. Evaluation researchers encounter more logistical problems than other researchers because evaluation research occurs in the context of real life.

Evaluation research often takes place in real-world settings, which can present logistical challenges such as accessing participants, coordinating schedules, and dealing with unexpected events. Additionally, evaluation research often involves multiple stakeholders and requires collaboration and communication among various groups, which can further complicate logistical issues. While evaluation research may also involve longer timelines, higher costs, measurement problems, and examination of multiple variables, these factors do not necessarily contribute to greater logistical challenges.

This means that evaluation researchers have to navigate complex, real-world situations, adapt to unforeseen challenges, and work with various stakeholders, making the research process more logistically challenging compared to controlled laboratory settings or theoretical research.

to learn more about theoretical research. click here:

https://brainly.com/question/29220441

#SPJ11

Evaluation research is a type of research that focuses on assessing the effectiveness, efficiency, and impact of programs, policies, or interventions in real-life settings.

The correct answer is A. occurs in the context of real life.

This often involves evaluating the outcomes and impacts of interventions in complex and dynamic environments, such as organizations, communities, or systems. As a result, evaluation researchers may encounter more logistical problems compared to other types of researchers because they need to navigate real-life contexts, deal with multiple stakeholders, collect data from diverse sources, and address issues such as ethics, confidentiality, and validity in the evaluation process. Logistical problems may include challenges related to data collection, measurement, sample selection, data quality, and managing time and resources.

Learn more about “ Logistical problems “ visit here;

https://brainly.com/question/31087596

#SPJ4

4 Americans, 3 Russians, and 5 chinses into a queue, in such a way that no nationality forms a single consecutive block ways are there to arrange A∩R∩C, we must arrange the 3 blocks (3!) and then arrange within the blocks (4!⋅3!⋅5!)

According to the question, given that

4 Americans, 3 Russians, and 5 chinses into a queue, in such a way that no nationality forms a single consecutive block

Imagine that the American block is merely an additional person to be placed among the other 8 people. After that, there are 9 "people" providing 9! arrangements. In order to organize the Americans within the block, we must then multiply by 4.

With 5 real individuals and 2 blocks, we have 7 "people" for AR, giving us 7!, multiplied by 4!3! to arrange within the blocks.

Similar to how we must position the three blocks for A∩R∩C, we must also organize the blocks themselves (3! 4! 3! 5!)

Therefore, the ways to arrange the people into a queue is (3! 4! 3! 5!)

To learn more about Combination and Permutation visit here :https://brainly.com/question/18801196

#SPJ4

a. The MRS is constant (not diminishing) at 1/3.

U(x,y) = 3x + y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / 3

The MRS is constant (not diminishing) at 1/3.

b. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

The MRS is diminishing because as y increases, the MRS decreases.

c. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.

d. The MRS depends on the ratio of y to x and can vary.

U(x,y) = x^2 - y^2

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x

The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.

e. The MRS depends on the values of x and y and can vary.

U(x,y) = x + y / (x * y)

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)

The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.

Now let's move on to the second part of the question:

For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.

To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.

To know more about partial derivative:

https://brainly.com/question/32387059

#SPJ11

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)

To know more about null hypothesis, alternative hypothesis, test statistic, P-value,

https://brainly.com/question/29576929

#SPJ11

Anaiah is currently spending $150 on eggplants and kiwis.

Anaiah is behaving irrationally, because

1) He is not spending his entire income

2) He is spending too much on kiwis

3) He is not balancing what he spends on each good

4) His marginal utility per dollar spent is not the same for both goods.

Currently, Anaiah is spending:

On eggplants: 20 x $3 = $60

On kiwis: 30 x $3 = $90

Total spending: $60 + $90 = $150

Therefore, Anaiah is currently spending $150 on these goods.

The reasons that Anaiah is behaving irrationally are:

He is not spending his entire income: Anaiah has $180 to spend but he is only spending $150, which means he is not maximizing his utility by fully utilizing his budget.

He is spending too much on kiwis: Anaiah's marginal utility per dollar spent on kiwis is lower than his marginal utility per dollar spent on eggplants. Therefore, he should be spending more on eggplants and less on kiwis to maximize his utility.

He is not balancing what he spends on each good: Anaiah is consuming 20 eggplants and 30 kiwis, which means he is not allocating his budget efficiently to maximize his total utility. He should be consuming a combination of eggplants and kiwis that gives him the highest total utility within his budget constraint.

His marginal utility per dollar spent is not the same for both goods: Anaiah's marginal utility per dollar spent on eggplants is 160 utils while his marginal utility per dollar spent on kiwis is 190 utils. Therefore, he should be consuming more eggplants and fewer kiwis to maximize his total utility within his budget constraint.

Learn more about marginal utility here

brainly.com/question/14149928

#SPJ4

The function f is increasing on the interval (6, ∞).

The function f will be increasing in the intervals where f'(x) > 0.

To find these intervals, we can examine the sign of each factor of f'(x), which is (x + 1)²(x - 3)⁵(x - 6)⁴.

We can analyze the sign of f(x) by considering the factors individually:

(x+1)²: This factor is always positive since it is the square of a real number.

(x - 3)⁵: This factor is positive when x>3 and negative when x< 3.

(x - 6)⁴: This factor is positive when x>6 and  negative when x< 6.

We need to consider the overlapping regions of positivity for each factor.

When x>6, all three factors are positive, so  f ′ (x) is positive.

When 3<x<6: In this interval, the factor  (x+1)² is positive, but both (x−3)⁵ and (x−6)⁴ are negative.

Thus, f ′ (x) is negative.

When x<−1: In this interval,  (x+1)² is negative, while (x−3)⁵ and (x−6)⁴ are positive.

Hence, f ′ (x) is negative.

Therefore,  the function f(x) is increasing on the interval x>6.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ4

===========================================

Work Shown:

Let's apply the slope formula to get...

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

m = (-13 - 10)/(10 - (-13))

m = (-13 - 10)/(10 + 13)

m = -23/23

m = -1

The slope is -1

-----------

Extra info:

The slope is the rate of change. Specifically it's the change in y over the change in x. So that's why we divide the (y2-y1) over the (x2-x1). The (y2-y1) is the change in y; the (x2-x1) is the change in x.

You can think of it as

slope = rise/run

rise = y2-y1 = change in y

run = x2-x1 = change in x

Answer:

9974

Step-by-step explanation:

If 9973 is a prime number, then the only factors of 9973 is itself and one, therefore the factors are, "9973" and "1", and if we want to find the sum of that, we add it together to get 9974.

Answer:

A

Step-by-step explanation:

-2 5/6, -2/3, 1 1/6, 1 5/6

Are all ordered from least to greatest

A 15 square metres sector will have a radius of 8.1 m and a central angle of 26.04 degrees.

The region of a disk encompassed by two radii and an arc is called a circular sector, also known as a circle sector or disk sector. The smaller area is referred to as the minor sector, and the larger area as the major sector. A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.

Here,

area of sector=θ/360°*πr²

θ=5/11*180/π

θ=26.04 degree

area=15 m²

15=26.04/360*3.14*r²

15=0.227r²

r²=66.08 m²

r=8.13 m

The radius of the sector whose area is 15 m² will be 8.1 m with the central angle of 26.04 degree.

To know more about sector,

https://brainly.com/question/15591260

#SPJ4

Answer:B

Step-by-step explanation:

R^2=Q^2-P^2

R^2=2025

R=45

Answer:

b) 45cm

Step-by-step explanation:

by pythagoras theorem:

R² = P² - Q²

R² = 53² - 28² = 2809 - 784

R² = 2025

R = √2025

R = 45cm

Hope this helps!

Answer:

16767

Step-by-step explanation:

Each new term is found by multiplying the previous term by 3.  Thus, 3 is the common ratio.  The formula for this geometric series is therefore

a(n) = 23*3^(n - 1).

The 7th term is a(7) = 23*3^6 = 16767

(a) The first four terms of the geometric sequence are 3, 9, 27, 81.

(b) The product of any two terms of the sequence is present in the sequence.

A geometric sequence is one where each phrase is obtained by multiplying the term before it by the same number.

Formula to find nth term of geometric sequence is aₙ = a₁ rⁿ⁻¹. The common ratio is expressed as the value r.

Given that,

The nth term of the geometric sequence uₙ = 3ⁿ.

(a)

The first term of the sequence u₁ = 3¹

Second term of the sequence u₂ = 3² = 9

Third term of the sequence u₃ = 3³ = 27

And the fourth term of the sequence u₄ = 3⁴ = 81

The four terms of the sequence are 3, 9, 27, 81.

(b)

To prove that product of two term is also present in the sequence.

Product of first two terms = 3 x 3² = 3 x 9 = 27

27 is present in the sequence.

Further, product of next two terms,

9 x 27 = 243 = 3⁵

3⁵ will also present in the sequence.

Therefore, product of any two terms is present in the sequence.

To know more about Geometric sequence on:

brainly.com/question/11266123

#SPJ1

Answer: 110

Step-by-step explanation:

Answer:

in 2 minutes he would play 220 beats

Step-by-step explanation:

The angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\),\) which is approximately 1.107 radians or 63.43 degrees.

To determine the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\),\) we can follow these steps:

1. Express \(\(z_0\)\) in polar form: To find the polar form of \(\(z_0\)\), we need to calculate its magnitude \((\(r_0\))\) and argument \((\(\theta_0\))\). The magnitude can be obtained using the formula \(\(r_0 = |z_0| = \sqrt{\text{Re}(z_0)^2 + \text{Im}(z_0)^2}\)\):

\(\[r_0 = |2i + 1| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}\]\)

  The argument \(\(\theta_0\)\) can be found using the formula \(\(\theta_0 = \text{arg}(z_0) = \arctan\left(\frac{\text{Im}(z_0)}{\text{Re}(z_0)}\right)\)\):

\(\[\theta_0 = \text{arg}(2i + 1) = \arctan\left(\frac{2}{1}\right) = \arctan(2)\]\)

2. Find the polar form of \(\(w\)\): The polar form of \(w\) can be expressed as \(\(w = |w|e^{i\theta}\)\), where \(\(|w|\)\) is the magnitude of \(\(|w|\)\) and \(\(\theta\)\) is its argument. Since \((w = z^2\)\), we can substitute z with \(\(z_0\)\) and calculate the polar form of \(\(w_0\)\)using the values we obtained earlier for \(\(z_0\)\):

 \(\[w_0 = |z_0|^2e^{2i\theta_0} = \sqrt{5}^2e^{2i\arctan(2)} = 5e^{2i\arctan(2)}\]\)

3. Determine the argument of \(\(w_0\):\) To find the argument \(\(\theta_w\)\) of \(\(w_0\)\), we can simply multiply the exponent of \(e\) by 2:

  \(\[\theta_w = 2\theta_0 = 2\arctan(2)\]\)= 1.107 radians

Therefore, the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\).\)

Learn more about exponent here: https://brainly.com/question/29277932

#SPJ11

The complete question is:

"Determine the angle of rotation, in radians and degrees, at the point z0 = 2i + 1 when w = z^2."

the answer is - we have expressed the function \($f(x)$\) as a real linear combination of the trigonometric functions 1, \($\cos(x)$, $\sin(x)$, $\cos(2x)$, $\sin(2x)$, $\cos(3x)$ and $\sin(3x)$\), as required.

The given function is\($f(x) = \cos^3(x)$.\)

We know that \($\cos(3x) = 4 \cos^3(x) - 3 \cos(x)$,\) thus \($4\cos^3(x) = \frac{3}{4} \cos(3x) + \frac{1}{4}\cos(x)$.\)

So, \($f(x) = \cos^3(x) = \frac{3}{4}\cos(x)\cos(3x) + \frac{1}{4} \cos^3(x)$.\)

We can express \($\cos(x)$\)in terms of exponentials as: \($\cos(x) = \frac{e^{ix}+e^{-ix}}{2}$.\)

Similarly, we can write \($\cos(3x)$\) in terms of exponentials as:\($\cos(3x) = \frac{e^{i3x}+e^{-i3x}}{2}$.\)

Using these identities, we can express \($f(x)$\) as a linear combination of real trigonometric functions as: \(f(x) = $\frac{3}{8}(e^{ix}+e^{-ix}) (e^{i3x}+e^{-i3x}) + \frac{1}{8}(e^{ix}+e^{-ix})^3$\)

Expanding the last term, we get\($f(x) = \frac{1}{8}(e^{i3x}+e^{-i3x}) + \frac{3}{4}(e^{ix}+e^{-ix})\cos^2(x)$\)

Using the identity \($\cos^2(x) = \frac{1}{2} (1+\cos(2x))$,\)

we can write\($f(x) = \frac{1}{8}(e^{i3x}+e^{-i3x}) + \frac{3}{8}(e^{ix}+e^{-ix}) + \frac{3}{8}(e^{ix+2ix}+e^{-ix-2ix})\)

\($$f(x) = \frac{1}{8}(e^{i3x}+e^{-i3x}) + \frac{3}{8}(e^{ix}+e^{-ix}) + \frac{3}{16}(e^{3ix}+e^{-3ix}) + \frac{3}{16}(e^{ix}+e^{-ix})$\)

Thus, we have expressed the function \($f(x)$\) as a real linear combination of the trigonometric functions 1, \($\cos(x)$, $\sin(x)$, $\cos(2x)$, $\sin(2x)$, $\cos(3x)$ and $\sin(3x)$,\) as required.

know more about trigonometric functions

https://brainly.com/question/29090818

#SPJ11

Answer:

120ft

Step-by-step explanation:

If the bases are 120ft apart from each other you would have to find the distance of going from first to second then to third. Then you divide it in half because you arent going around the diamond, you are cutting right through it.

Answer:

a

Step-by-step explanation:

a

The structure of 12-crown-4 is shown below.

12-Crown-4, also known as lithium ionophore V and 1,4,7,10-tetraoxacyclododecane, is a crown ether with the chemical formula C8H16O4. It is a lithium cation-specific cyclic tetramer of the chemical compound ethylene oxide.

12-crown-4 combines with alkali metal cations, similar to other crown ethers. It has a strong selectivity for the lithium cation due to the cavity diameter of 1.2–1.5.

LiClO4 can be used as a template cation in a modified Williamson ether synthesis to create 12-Crown-4:

(CH2CH2O)4 + 2 NaCl + 2 H2O = (CH2OCH2CH2Cl)2 + (CH2OH)2 + 2 NaOH

In the presence of gaseous boron trifluoride, it can also result from the cyclic oligomerization of ethylene oxide.

To learn more about Structure compound:

https://brainly.com/question/28020457

#SPJ4

The mean and standard deviation of the number of seats filled on an airplane is 240 and 6.93 respectively.

The load factor given is 80%

Hence the probability that the seat s filled with a paying passenger is 0.8.

Therefore, here we are given a no. of seats and we need to find the mean and standard deviation of the number of seats actually filled.

Here for every seat, there can be two possibilities:-

The seat is filled

The seat is not filled.

Hence this clearly models into a Binomial distribution with the no. of samples n = 300

probability of success = p = 0.8

Mean of a binomial distribution = np

Therefore, the mean of the above problem is

300 X 0.8

= 240.

The variance of a binomial distribution is np(1 - p)

Hence the standard deviation will be √{np(1 - p)}

= √(300 X 0.8 X (1 - 0.8))

√(300 X 0.16)

= √48

= 4√3

= 6.93

To learn more about Probability visit

https://brainly.com/question/28168108

#SPJ4