Please help me need ASAP

Please Help Me Need ASAP

Answers

Answer 1

Answer:

(2)

The increased amount is 9


Related Questions

For his phone service, Alonzo pays a monthly fee of $17, and he pays an additional $0.07 per minute of use. The least he has been charged in a month is $115.56. What are the possible numbers of minutes he has used his phone in a month? Use m for the number of minutes, and solve your inequality for m .

Answers

Answer:

at least 1,408 minutes

Step-by-step explanation:

Let m be the number of minutes.

\(17 + .07m \geqslant 115.56\)

\(.07m \geqslant 98.56\)

\(m \geqslant 1408\)

How many tiles are in figure 100?
.
Figure 1
Figure 2
Figure 3

How many tiles are in figure 100?.Figure 1Figure 2Figure 3

Answers

Answer:

202

Step-by-step explanation:

\(in\\\\F(1)=4\:dots\\\\F(2)=F(1)+2=4+2=6\:dots\\\\F(3)=F(2)+2=F(1)+2+2=F(1)+2(2)=8\:dots\\\\As\:you\:can\:see\:in\\\\F(n)=F(1)+2(n-1)\\\\So\:with\:n=100\\\\F(100)=F(1)+2(100-1)\\\\F(100)=4+2(100)+2(-1)\\\\F(100)=4+200-2\\\\F(100)=200+2\\\\F(100)=202\)

the mean of a sampling distribution of mean is: a. equal to the population mean b. less than the population mean c. less than the population standard deviation d. none of the above

Answers

The mean of a sampling distribution of mean is equal to the population mean.

The mean of a sampling distribution of the mean is equal to the population mean. This is a fundamental property of sampling distributions. When repeatedly taking random samples from a population and calculating the mean of each sample, the distribution of those sample means will have a mean that is equal to the population mean. This is known as the central limit theorem, which states that as the sample size increases, the sampling distribution of the mean approaches a normal distribution centered around the population mean. Therefore, the mean of the sampling distribution of the mean will be the same as the population mean.

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f what does the following integral equal? 43 59 [6f(z) + 3g(z) - h(x)]dx = 43 59 -43 59 f(x)dx = 13 and 59 g(x) dx = 29 and h(x) dx = 22 43

Answers

The value of the given integral is: 2208.

To find the value of the given integral, we substitute the provided values for f(x), g(x), and h(x) into the integral expression and calculate it step by step.

The given integral is:

∫[43 to 59] [6f(z) + 3g(z) - h(x)]dx

Substituting the provided values, we have:

∫[43 to 59] [6(13) + 3(29) - 22]dx

∫[43 to 59] [78 + 87 - 22]dx

∫[43 to 59] [143]dx

Since the integral of a constant value is equal to the constant times the variable of integration, we can calculate this integral as:

[143x] evaluated from 43 to 59

143(59) - 143(43)

8357 - 6149

2208

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Ling and her family ordered takeout that cost $50. Ling paid 4% sales tax and left a 10% tip on $50. What was the total cost?

Answers

Answer: 57

Step-by-step explanation:

Consider a sample with data values of 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and $2. Compute the mean, median, and mode.
If required, round your answers to two decimal places.
Mean = ________
Median = _________
Mode = _________

Answers

The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

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WILL MARK YOU BRAINLIEST

WILL MARK YOU BRAINLIEST

Answers

Answer:

Sum of exterior angle of polygon=360

Each exterior angle of polygon =24

Number of sides of polygon=\frac{360}{24}  

24

360

​  

=15

=> Number of sides of polygon with each angle of 24 is 15.

Step-by-step explanation:

Y = 3x - 5 what is the value of Y??

Answers

Answer:

41

Step-by-step explanation:

x=12

so y=3⋅12 +5

=36+5

=41

Answer is 41 yea so I hope u do good. No problem

A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance from the line y = 2. Which form does the equation of the given parabola fit? A. (x−h)2=4c(y−k)
B. (y−k)2=4c(x−h)
Find h, k and c.
Sketch the parabola.

Answers

The equation of the given parabola fits the form (y−k)²=4c(x−h).

How can we determine that the equation of the given parabola fits the form (y−k)²=4c(x−h)?

The question specifically asks for the form of the equation that fits the given parabola. Based on the provided options A and B, the equation (y−k)²=4c(x−h) matches the form required.

The parameters h, k, and c in the equation represent the vertex coordinates (h, k) and the focal length. To find the specific values of h, k, and c, further analysis and calculations are needed using the information given in the question, such as the distances between the vertex, focus, and directrix.

These calculations would allow for the determination of the exact equation and the sketching of the parabola.

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An ellipse has vertices along the major axis at (0, 8) and (0, –2). The foci of the ellipse are located at (0, 7) and (0, –1). What are the values of a, b, h, and k, given the equation below? a = b = h = k =.

Answers

The values of a, b, h, and k, given the equation below;

\(\rm \dfrac{(x-h)^2}{b^2}+\dfrac{(x-k)^2}{a^2}=1\\\\ \dfrac{(x-0)^2}{3^2}+ \dfrac{(x-3)^2}{5^2}=1\)

Given

An ellipse has vertices along the major axis at (0, 8) and (0, –2).

The foci of the ellipse are located at (0, 7) and (0, –1).

Ellipse

It can be seen that the major axis is parallel to the y axis.

The major axis points are;

(h, k +a) = (0, 8)

(h, k -a) = (0, -2)

Here, k + a = 8

k - a = -2

Subtracting the equations;

k + a - k + a = 8 + 2

2a = 10

a = 10/2 = 5

The foci are;

(h, k +c) = (0, 7)

(h, k -c) = (0, -1)

Here, k + c = 7

k - c = -1

Subtracting the equations;

k + c -k + c = 7+ 1

2c = 8

c = 8/2 = 4

The foci are given by;

\(\rm c^2=a^2-b^2\\\\b=\sqrt{a^2-c^2} \\\\b = \sqrt{5^2-4^2}\\\\b = \sqrt{25-16} \\\\ b =\sqrt{9}\\\\ b=3\)

The equation is;

\(\rm \dfrac{(x-h)^2}{b^2}+\dfrac{(x-k)^2}{a^2}=1\\\\ \dfrac{(x-0)^2}{3^2}+ \dfrac{(x-3)^2}{5^2}=1\)

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pls i need this now

pls i need this now

Answers

The answer in C: 56 cm²

Alvin was 15 feet below sea level.it then moved to 72 feet below sea level.please explain how to find how many feet the submarine descended and then tell how many feet did the submarine descended

Answers

To solve this youd have to do 72-15 which equals out to be 68 feet.

Your answer is The submarine descended 68 feet.

When Gerald started on his trip, his odometer read 109,875. At the end of his trip it read 110,480. How many miles did he travel? Explain how you got your answer.

Answers

Answer:

its 605 miles

Step-by-step explanation:

If we take 110,408 and subtract 109,875 then it should equal 605

Answer:

Step-by-step explanation:

109,875

               =605

-110,480

Mark brainliest please if the answer is correct

which one is the smallest 4/5 1/6 2/3 1/5

Answers

Answer:1/6

Step-by-step explanation:

\(\huge\textsf{Hey there!}\)

\(\mathsf{\dfrac{4}{5}=\boxed{\bf 0.80\ or\ 80\%}}\\\\\\\mathsf{\dfrac{1}{6}=\boxed{\bf 0.166667\ or\ 16.6667\% }}\\\\\\\mathsf{\dfrac{2}{3}=\boxed{\bf 0.666667\ or \ 66.6667\%}}\\\\\\\mathsf{\dfrac{1}{5}=\boxed{\bf 0.20\ or \ 20\%}}\)

\(\large\textsf{After converting the fractions to decimals and percentages, we can}\\\large\textsf{now out them from descending (least) to ascending (greatest) order}\\\large\textsf{to determine your result to this question}\)

\(\boxed{\mathsf{\dfrac{1}{6}, \ \dfrac{1}{5}, \ \dfrac{2}{3}, \& \ \dfrac{4}{5}}}\)

\(\large\textsf{The SMALLEST one out of your set is: }\boxed{\mathsf{\bf \dfrac{1}{6}}}\large\checkmark\)

\(\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf \dfrac{1}{6}}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Describe the specific characteristics of the distributions [3 points each]
a. What are the characteristics of the discrete probability distribution function?
b. What are three characteristics of a binomial experiment?
c. What can you tell about outcomes of continious probability distribution? What is the graph and the area under the graph for this distribution? What is P(x = a)?

Answers

P(x = a), is always zero because there are an infinite number of possible values within the given range

a. The specific characteristics of the discrete probability distribution function are:
1. It represents the probabilities of a finite number of distinct outcomes, where each outcome has a non-negative probability.
2. The sum of the probabilities of all possible outcomes is equal to 1.
3. The probability of a particular outcome, P(x = a), can be directly computed from the function.

b. Three characteristics of a binomial experiment are:
1. There are a fixed number of trials (n) conducted independently.
2. Each trial has only two possible outcomes, often referred to as "success" and "failure".
3. The probability of success (p) is constant for all trials.

c. For continuous probability distribution:
1. Outcomes: The outcomes are represented by continuous random variables that can take an infinite number of values within a specified range.
2. Graph and area under the graph: The graph of the continuous probability distribution is a curve, and the area under the curve represents the probabilities associated with the range of values. The total area under the curve is equal to 1.
3. P(x = a): For a continuous distribution, the probability of the random variable equaling a specific value, P(x = a), is always zero because there are an infinite number of possible values within the given range.

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Triangle AYE is similar to CAB

Triangle AYE is similar to CAB

Answers

The similarities between the two triangles allow us to use the ratios of their corresponding sides to solve various problems involving their dimensions.

Based on the given diagram, we can see that triangle AYE is a scaled version of triangle CAB. This means that the corresponding sides of the two triangles are proportional, and the corresponding angles are congruent.

Using the letters given in the diagram, we can express this relationship mathematically:

AY/CB = YE/AB = AE/CA

This equation shows that the ratio of the length of side AY to the length of side CB is equal to the ratio of the length of side YE to the length of side AB, which is also equal to the ratio of the length of side AE to the length of side CA.

We can also conclude that angle AYE is congruent to angle CAB, angle EAY is congruent to angle BAC, and angle YAE is congruent to angle ABC. This is because corresponding angles in similar triangles are congruent.

Because of these similarities, we can use the ratios of the two triangles' corresponding sides to answer a variety of problems concerning their dimensions.

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What is the end behavior of the function f of x equals negative 2 times the cube root of x?

As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.
As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞.
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.

Answers

The end behavior of the function f(x) = -2∛x can be determined by looking at the highest degree term in the function, which is ∛x. Since the cube root of a negative number is also negative, as x approaches negative infinity, f(x) approaches negative infinity as well. Similarly, as x approaches positive infinity, f(x) approaches positive infinity. Therefore, the correct answer is:

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.

Given f(x)=x^2, write the equation of the transformed function if g(x)=f(x-1)

Given f(x)=x^2, write the equation of the transformed function if g(x)=f(x-1)

Answers

Answer:

1. g(x) = (x - 1)²; translation of 1 unit to the right.

2. g(x) = 3^(x + 1) - 2; translation to the left of 1 unit and translation of 2 units down.

Step-by-step explanation:

1.

f(x) = x²

g(x) = f(x - 1)

g(x) = (x - 1)²

Since x was replaced by x - 1, g(x) is similar to f(x) with a translation of 1 unit to the right.

2.

f(x) = 3^x

g(x) = f(x + 1) - 2

g(x) = 3^(x + 1) - 2

Since x was replaced by x + 1, which is the same as x - (-1), there is a translation to the left of 1 unit. In addition, the -2 causes a translation of 2 units down.

a bacteria culture initially contains 3000 bacteria and doubles every half hour. find the size of the baterial population after 80 minutes. find the size of the baterial population after 10 hours. \

Answers

The bacterial population after 80 minutes is 19047

and,  the size of the bacterial population after 10 hours 196,608,000.

What is Exponential Function?

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

Given:

A bacteria culture initially contains 3000 bacteria and doubles every half hour.

So, The exponential growth law for this is

p(t) = 3000 \((2)^{t/30\)

where t is the time in minutes.  

Now, To find the population after 80 minutes put in t=20

P(80) =3000 \((2)^{80/30\)

         = 3000 x  6.349

         = 19047.

and, For t= 8 hours put= 480 min

P(80) =3000 \((2)^{480/30\)

         = 3000 x  65536

         = 19,66,08,000.

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Compute the least-square regression line for predicting the president's age from the first lady's age. (b) which point is outlier? (c) remove the outlier and compute the least-square regression line for predicting the president's age from the first lady's age. (d) is the outlier influential? explain

Answers

Without the dataset, we cannot compute the regression line or identify the outlier. However, outliers can have an impact on the regression analysis, and their influence can be assessed by examining the changes in the line's parameters upon their removal.

To compute the least-squares regression line for predicting the president's age from the first lady's age, we need a dataset that includes the ages of both the president and the first lady. Without this data, it's not possible to perform the calculations and provide the regression line.

However, I can explain the concept of outliers and influential points in regression analysis. An outlier is an observation that significantly deviates from the overall pattern of the data. It can have a strong influence on the regression line if its removal results in a significant change in the line's slope or intercept.

To determine which point is an outlier, we would need the dataset. Outliers are typically identified by examining the residuals (the differences between the observed values and the predicted values). Points with large residuals are potential outliers.

If an outlier is identified, it can be removed from the dataset, and a new regression line can be calculated without the outlier. This new line may provide a better fit to the remaining data points.

To assess whether the outlier is influential, we examine the effect of its removal on the regression line. If the outlier has a substantial impact on the line's parameters (slope and intercept), it can be considered influential. In such cases, the outlier may be driving the relationship observed in the data.

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How do you solve the initial value problem that consists of differential equation xsin(y) dx + ((x^2) + 1) cos (y) dy = 0 , and the initial condition y(1) =π/2?

Answers

The solution of the given initial value problem consists of differential equation xsin(y) dx + ((x^2) + 1) cos (y) dy = 0 , and the initial condition y(1) =π/2 is x = -(x^3/3 + x).

Given, Initial condition:

y(1) = π/2

Differential equation:

xsin(y) dx + ((x^2) + 1) cos (y) dy = 0.

To solve this initial value problem we need to use the method of separation of variables:

xsin(y) dx + ((x^2) + 1) cos (y) dy = 0

⇒ xsin(y) dx = -((x^2) + 1) cos (y) dy

⇒ xsin(y)/cos(y) dx = -((x^2) + 1) dy

Integrating both sides:

∫xsin(y)/cos(y) dx = -∫((x^2) + 1) dy

∫tan(y) dx = -(x^3/3 + x) + C1, where C1 is the constant of integration.

Using the initial condition y(1) = π/2; we get

∫tan(π/2) dx = -(1^3/3 + 1) + C1∫∞ dx

= -4/3 + C1

∞ = C1

Therefore, the constant of integration is C1 = ∞. So the solution to the initial value problem is x = -(x^3/3 + x).

Hence, the solution of the given initial value problem is x = -(x^3/3 + x).

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Given differential equation is xsin(y) dx + ((x^2) + 1) cos (y) dy = 0 and the initial condition y(1) =π/2, we have to solve the initial value problem. To solve the given initial value problem, we have to use the method of separation of variables.

Method of separation of variables:Consider a differential equation given as

f(x, y) dx + g(x, y) dy = 0.

Assume y = y(x)Then the differential equation will become,

f(x, y(x)) dx + g(x, y(x)) y'(x) = 0.

Now, separate the variables and integrate both sides of the equation.Let's use this method to solve the given differential equation,

xsin(y) dx + ((x^2) + 1) cos (y) dy = 0.

xsin(y) dx + ((x^2) + 1) cos (y) dy = 0

Separate the variables as follows,

xsin(y) dx = - ((x^2) + 1) cos (y) dyDivide both sides by sin(y) and cos(y),x dx/ cos(y)

= - (1/cos(y)) (x^2 + 1) dy

And,

x dx/ cos(y) = - (1/cos(y)) (x^2 cos^2(y) + cos^2(y)) dyx dx/ cos(y)

= - (1/cos(y)) [(x^2 cos^2(y) + 1) - 1] dyx dx/ cos(y)

= - (1/cos(y)) [(x^2 cos^2(y) + 1) dy - dy]

Now, integrate both sides of the equation by using the integration formula,Integration of

[f(x) + g'(x)/g(x)] dx = log |g(x)| + C

where C is the constant of integration.

Using this formula on both sides,

we get,x^2/2 + log |cos(y)| = - log |x^2 cos^2(y) + 1| + C1x^2/2 + log |cos(y)| + log |x^2 cos^2(y) + 1| = C2

where C2 is the constant of integration.

Putting the value of C2 = log(K),

where K is the constant of integration.

We get,

x^2/2 + log |cos(y)| + log |x^2 cos^2(y) + 1| = log Kx^2/2 + log |K cos(y) (x^2 cos^2(y) + 1)|

= log Kcos(y) (x^2 cos^2(y) + 1)

= Ke^(x^2/2).

Applying the initial condition, y(1) =π/2,

we get,

cos(π/2) (1^2 cos^2(π/2) + 1) = Ke^(1/2)0

= K / e^(1/2)K

= 0.

Therefore,

cos(y) (x^2 cos^2(y) + 1) = 0cos(y) (x^2 cos^2(y) + 1)

= 0

∵ K = 0

∴ cos(y) = 0, or x^2 cos^2(y) + 1 = 0

Now, solving for cos(y) = 0,

we get,y = nπ ± π/2, where n ∈ Z

Also, solving for x^2 cos^2(y) + 1 = 0,

we get,cos(y) = -1/x or cos(y)

= 1/xcos(y)

= -1/xy

= arccos(-1/x) or y

= arccos(1/x).

Therefore, the solution of the given initial value problem that consists of differential equation

xsin(y) dx + ((x^2) + 1) cos (y) dy = 0 ,

the initial condition y(1) =π/2 is given as follows:

cos(y) (x^2 cos^2(y) + 1) = Ke^(x^2/2)

If y = nπ ± π/2, where n ∈ Z then cos(y) = 0If

y = arccos(-1/x), then cos(y) = -1/xIf y = arccos(1/x), then cos(y) = 1/xAnd, K = 0.

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The driver of a car with a total of 1800 kg mass is traveling at 23 m/s when he slams on the brakes, locking the wheels on the dry pavement. The coefficient of kinetic friction between rubber and dry concrete is typically 0.7. Use the work–energy principle to calculate how far the car will travel before stopping.
123.4 m
378 m
1.68 m
38.6

Answers

Answer: 38.6 m

Step-by-step explanation:

1/2(1800)23^2 - (.7)(1800)(9.8 m/s^2)

476,100/121,100 = 3.93 which closest answer was 38.6 and I got it right

what is the reciprocal of 1/23​

Answers

Answer:

23/1

Step-by-step explanation:

Finding the reciprocal just means it is flipped

Answer:

23

Step-by-step explanation:

reciprocal ~ just flip it

1/23 =

23/1

Which is the graph of f(x) = –(x + 3)(x + 1)?

Which is the graph of f(x) = (x + 3)(x + 1)?
Which is the graph of f(x) = (x + 3)(x + 1)?

Answers

Answer:

Option 2

Step-by-step explanation:

We know that the graph will face down (the negative sign)

We also know that the vertex should be (-2, 1)

Therefore, option 2 is the solution

Option 2 is the correct answer

48%of 30 is about what number?​

Answers

62.5 is the answer if you divide 30 by 48%

Answer:

\(x(2 - x) = 0\)

\(x(3x + 13) = 2\)

\( \sqrt{x -3} - 4 = 4\)

\((x + 1)(2x - 3) > 0\)

48%of 30 is about what number?

Answer please!! :) ​

Answer please!! :)

Answers

10/1
3/8
7/1
12/3
80/2
_________

Find the change in profit P for the given marginal. Assume that the number of units x increases by 5 from the specified value of x. (Round your answer to two decimal places.) Marginal Number of Units, x dP dx = 12.1 60 − 3 x x = 121

Answers

The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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I need help, thank you!!

I need help, thank you!!

Answers

The center of the second circle will be (1, 4) only.

First circle:

Center = (6, 7)

Point = (1, 4)

radius = √(7 - 4)² + (6 - 1)²

r = √9 + 25

r = √ 34

Area = π r²

A = π (√ 34)²

A = 34 π

Second circle:

A = 34 π

Point = (1, 4)

Center = (x, y)

r = √ (4 - y)² + (1 - x)²

r² = 16 + y² - 8y + 1 + x² - 2x

r² = x² + y² - 2x - 8y + 17

ATQ:

π r² = 34 π

r² = 34

x² + y² - 2x - 8y + 17 = 34

x² + y² - 2x - 8y - 17 = 0

Centre = (1, 4)

The center of the second circle will be (1, 4) only.

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need help please and ​

need help please and

Answers

Answer:

B. 16x^2 - 9

Step-by-step explanation:

(4x-3) x (4x+3) = 4x(4x) + 3(4x) - 3(4x) - 9 = 16x^2 - 9

Answer:

the answer is B

Step-by-step explanation:

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About 77% of all female heart transplant patients will survive for at least 3 years. Eighty female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 73%? Assume the sampling distribution of sample proportions is a normal distribution. The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to sqrt(pq/n)

The probability that the sample proportion surviving for at least 3 years will be less than 73% is

Answers

The probability that the sample proportion surviving for at least 3 years will be less than 73% is approximately 0.2743 or 27.43%.

To calculate the probability that the sample proportion surviving for at least 3 years will be less than 73%, we can use the standard normal distribution.

Given:

Population proportion (p) = 0.77

Sample size (n) = 80

First, we need to calculate the standard deviation of the sample proportion (σp), which is equal to sqrt(pq/n), where q = 1 - p.

q = 1 - p = 1 - 0.77 = 0.23

σp = sqrt(pq/n) = sqrt((0.77 * 0.23) / 80) = sqrt(0.1771 / 80) = 0.0666

Next, we calculate the z-score, which represents the number of standard deviations away from the mean.

z = (sample proportion - population proportion) / σp

= (0.73 - 0.77) / 0.0666

= -0.04 / 0.0666

= -0.6018

Using a standard normal distribution table or a calculator, we can find the probability associated with the z-score of -0.6018. The probability of the sample proportion surviving for at least 3 years being less than 73% is the cumulative probability to the left of the z-score.

Looking up the z-score in the standard normal distribution table, the probability is approximately 0.2743.

Therefore, the probability that the sample proportion surviving for at least 3 years will be less than 73% is approximately 0.2743 or 27.43%.

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