PLS HURRY I NEEED THIS ANSER PLS Each leg of a relay race is 400 yards. If there are 4 legs in the relay, how long is the whole race,
in feet?
(10 Points)

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

Given,

The mean number of days that the midge Chaoborus spends in its larval stage = 14.1 days

Standard deviation = 2.2 days

We have to find the z-score for an individual midge that spends 12. 7 days in its larval stage;

Now,

z score = (x - μ) / σ

Here,

x = 12.7

Mean, μ = 14.1

Standard deviation, σ = 2.2

Then,

z score = (x - μ) / σ = (12.7 - 14.1) / 2.2 = -0.636

That is,

The z-score for an individual midge that spends 12. 7 days in its larval stage is -0.636

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Step-by-step explanation:

(-2-6)/(3-5)= -8/-2= 4

y+2= 4(x-3)

y+2= 4x-12

y=4x-14

Answer:

y = 4x - 14 or y = 2(x - 7)

Step-by-step explanation:

Finding the slope

Finding the y-intercept

Making the equation using slope-intercept form

Answer:

corresponding angles postulate

Step-by-step explanation:

just took the test ;)

All numbers greater or equal to 1

Answer:

The error is at (-4, 0) where 0 should be changed to 1

Step-by-step explanation:

The error was made at (-4, 0). The point should be (-4, 1) instead, because the y values should be increasing by 3 each time.

The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

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The student's lifetime value for a four-year degree at this college is $80,000.

The student's lifetime value for a four-year degree can be calculated as follows:

Determine the cost per semester: $10,000 per semester

Determine the number of semesters for a four-year degree: 4 years * 2 semesters/year = 8 semesters

Multiply the cost per semester by the number of semesters to get the total cost of tuition: $10,000 * 8 = $80,000

Therefore, the student's lifetime value for a four-year degree at this college is $80,000.

It is important to note that this calculation only considers the cost of tuition and does not take into account other costs such as room, board, books, and supplies, which can add significantly to the total cost of obtaining a degree.

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Answer: 2

Step-by-step explanation:

\((-3+5)^0=2\)

Answer:

Step-by-step explanation:

Hello!

If you consider the 6-sided dice to be balanced, then each result has the same probability of occurrence: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)= \(\frac{1}{6}\)

And each time Tom rolls the dice is independent of the other times, this means that you can disregard all previous rolls and calculate the 10nth time as if it is the 1st one.

Be the event A: "Tom rolled the dice for the 10nth time and obtained a 6"

The probability of A occurring will be P(A)= 1/6

On the other hand, the complement of "A" will be \(A^c\): "Tom rolled the dice for the 10nth time and didn't obtain a 6"

This means he could obtain a 1 or a 2 or a 3 or a 4 or a 5

You can calculate the probability pf this event by adding the probability of obtaining each value P(\(A^c\))= P(1)+P(2)+P(3)+P(4)+P(5)= 1/6*5= 5/6

Or by subtracting the probability of A to the total probability of the sample space:

P(\(A^c\))= 1 - P(A)= 1 - 1/6= 5/6

I hope this helps!

Answer: D

Step-by-step explanation:

You divide both sides by 4.

4 divided by 4 is 1 and -36 divided by 4 is -9.

You don't change the direction of the sign since you are not multiplying nor dividing both sides of theinequality by a negative number.                                                                                                    

The circumference of a gazebo is 47.1 ft

To calculate the circumference, you can use the formula C=2πr. This formula states that the circumference of a circle is equal to two times the constant π (approximated as 6.28) multiplied by the radius of the circle. The radius of a circle is equal to half of the diameter, so in this case the radius would be 7.5 ft (half of 15 ft).

Therefore, to calculate the circumference of a gazebo with a diameter of 15 ft, you can use the formula C=2πr. Plugging in the radius of 7.5 ft, the equation would become C=2π(7.5) which results in a circumference of 47.12 ft. To round this answer to one decimal place, the final answer is 47.1 ft

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A) Number of drugs =  4. ; B)Number of exercises =  not mentioned. ; C) sample size =  30. ; D) p-value (Pr(>F))  < 0.05. ; E) p-value <  0.05. ; F) No, we cannot conclude.

Given data,

Response: weight loss Pr (>F) Df Sum Sq Mean Sq F value. 2 ?

drug 3.4750 104.25 1.464e-12 *** 196.00 4.829e-13 *** exercise drug:

exercise ?

6.0167 Residuals 1 6.5333 6.5333 2 90.25 6.827e-12 *** 24 0.8000 0.0333

A) Number of drugs used is 4.

B) Number of exercises taken is not mentioned.

C) The sample size is 30.

D) We can say that there is a significant drug-exercise interaction effect on weight loss at 0.05 level as the p-value (Pr(>F)) is less than 0.05.

E) Yes, we can conclude that not all drugs have the same effect on weight loss at level 0.05 as the p-value is less than 0.05.

F) No, we cannot conclude that not all exercises have the same effect on weight loss at level 0.05 as information about the exercises is missing.

So, the result is not possible without the missing information about exercises.

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Answer:

slope of the line = 1

Step-by-step explanation:

Comparing the given equation to

y = mx + c

where m = slope of the line and c = y-intercept

Therefore, y = 1.

There are 15,504 ways to randomly select a team of 5 people from a group of 20 people

If there are 20 people trying out for a team, the number of ways to select a team of n people can be calculated using the formula for combinations, which is:

C(20, n) = 20! / (n! * (20 - n)!)

where C(20, n) represents the number of ways to select n people from a group of 20 people.

For example, if we want to select a team of 5 people, we can plug in n = 5 and calculate:

C(20, 5) = 20! / (5! * (20 - 5)!) = 15,504

Therefore, there are 15,504 ways to randomly select a team of 5 people from a group of 20 people. Similarly, we can calculate the number of ways to select teams of different sizes by plugging different values of n into the formula for combinations.

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Here,

x+50°+70°= 180° [°.°Angle sum of triangle]

↪x= 180°-120°

↪x=60°

.°. x = 60°

Now,

Let z be the unknown angle of the second triangle

z+60°+50°=180° [°.° Angle sum of triangle ]

↪z=180°-110°

↪z=70°

. ° . z=70°

Then,

z+x+y= 180°

↪70°+60°+y=180°

↪y=180°-130°

↪y=50°

.°.y = 50°

Answer:

x = 60°, y = 50°

Step-by-step explanation

We know: the angles measures in a triangle add up to 180°.

(look at the picture)

z + 50 + 60 = 180

z + 110 = 180    subtract 110 from both sides

z = 70°

x + 50 + 70 = 180

x + 120 = 180         subtract 120 from both sides

x = 60°

Angles x, y, and z are on one side of a straight line. Therefore they add to 180°.

x + y + z = 180

60 + y + 70 = 180

y + 130 = 180         subtract 130 from both sides

y = 50°

Use the Law of Sines to find a:

Since both a and the angle A are unkowns, we need to find the measure of the angle opposite to the side A first. Notice that two of the interior angles of the triangle are given. Remember that the sum of the internal angles of every triangle must add up to 180º.

Then:

Then, the angle opposite to the side with length a has a measure of 50º.

Isolate a from the equation of the law of sines and replace A=50º to find the length a:

Therefore, to the nearest tenth, the length of a is equal to 44.1cm.

Mixture is kept undisturbed for some time. After some time, sand being heavier and insoluble in water, settles down at the bottom of container.

Sand and water are separated in this situation using filtering. The filter funnel, which is lined with filter paper, is filled with the sand and water mixture.

The paper allows the water to escape and accumulate in the beaker. Sand particles build up in the filter funnel because they can't pass through the filter paper. One of humankind's first methods of water treatment, distillation desalination is still a widely used treatment method today.

Many ancient civilizations employed this method to turn seawater into drinkable water aboard their ships. The differing densities of salt and sand are the basis for another physical separation technique. Sand has a density of 2.65 g/cm3, but salt has a density of 2.16 g/cm3. 

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Answer:

  C.  all real numbers

Step-by-step explanation:

You want the domain of the function F(x) = 1.

The domain of a function is the set of values of the independent variable for which the function is defined. The function F(x) is defined for all possible values of x, so its domain is all real numbers.

ANSWER

EXPLANATION

We want to expand the given expression using binomial expansion:

(a) In summation notation, binomial expansion is written as:

where:

Therefore, the summation notation for the expansion is:

(b) Now, we want to expand the expression. To do this, find each term taking k to go from 0 to 4, find the sum of the terms, and simplify.

That is:

Therefore, in simplified form, the expanded expression is:

Answer:

3

Step-by-step explanation:

please the = sign should be< or>

The minimum number of terms of the Taylor series that are necessary to approximate f(x) in the interval (-2,2) with an error not exceeding 0.1 is 5.

A Taylor series is a mathematical series that represents a function as an infinite sum of terms. The terms of a Taylor series are calculated from the values of a function's derivatives at a single point.

The Taylor series is defined by the formula:

f(x) = f(a) + f'(a)(x - a) + f''(a)(x - a)² / 2! + f'''(a)(x - a)³ / 3! + ... + fⁿ(a)(x - a)ⁿ / n!

The error of the Taylor series approximation of a function is given by the formula:

Rn(x) = f(n + 1)(c)(x - a)ⁿ⁺¹ / (n + 1)!where c is some value between a and x.

Here, we want to find the minimum number of terms of the Taylor series that are necessary to approximate f(x) in the interval (-2,2) with an error not exceeding 0.1. Therefore, we need to use the error formula to solve for n. Let's start by finding the first five derivatives of f(x):

f(x) = ln(x² + 1)

f'(x) = 2x / (x² + 1)

f''(x) = (2 - 4x²) / (x² + 1)²

f'''(x) = (24x³ - 12x) / (x² + 1)³

f⁴(x) = (-96x⁴ + 144x² - 24) / (x² + 1)⁴

f⁵(x) = (672x⁵ - 960x³ + 240x) / (x² + 1)⁵

Next, we need to find a value of c between -2 and 2 that will maximize the absolute value of the fifth derivative of f(x).

f⁵(x) = (672x⁵ - 960x³ + 240x) / (x² + 1)⁵

f⁵(c) = (672c⁵ - 960c³ + 240c) / (c² + 1)⁵

To find the maximum value of f⁵(c) on the interval (-2,2), we can check the endpoints and the critical points in the interval. The critical points are found by solving f⁴(c) = 0, which gives:

c = ±sqrt(3/8) ≈ ±0.866

The endpoints and the critical points give the following values:

f⁵(-2) ≈ 0.045

f⁵(-sqrt(3/8)) ≈ 4.011

f⁵(0) = 0

f⁵(sqrt(3/8)) ≈ -4.011

f⁵(2) ≈ -0.045

Therefore, the maximum absolute value of f⁵(c) on the interval (-2,2) is approximately 4.011. We can use this value in the error formula to solve for n:

|Rn(x)| ≤ 4.011 |x - a|⁵ / (n + 1)!0.1 ≤ 4.011 |x - a|⁵ / (n + 1)!

Since we want to find the minimum value of n, we can assume that x = 2 and a = 0 (the center of the interval), because the function is symmetric about the y-axis. Then:

0.1 ≤ 4.011 (2 - 0)⁵ / (n + 1)!0.1 ≤ 32.088 / (n + 1)!n + 1 ≤ 320.88 / 0.1n + 1 ≤ 3208.8 / n!

n! ≤ 3208.8 / (n + 1)!(n + 1)! / n! ≤ 3208.8 / (n + 1)n + 1 ≤ 5.508

The smallest integer n that satisfies this inequality is n = 5. Therefore, the minimum number of terms of the Taylor series that are necessary to approximate f(x) in the interval (-2,2) with an error not exceeding 0.1 is 5.

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Answer:

(a) Yes, the statement is true. If the null hypothesi is true, we can retain the null. 

(b) Yes, the statement is true

Answer:

(a) Yes, the statement is true. If the null hypothesi is true, we can retain the null. 

(b) Yes, the statement is true

The answer of the question based on population growth is , the estimated population after one year is approximately 34 deer.

To estimate the population after one year, we can use the formula for exponential growth:

P = P0 * (1 + r)^t.

P0 represents the initial population (20 deer in this case), r represents the growth rate (70% or 0.7 as a decimal), and t represents the time period in years (1 year in this case).

Using these values, we can calculate the population after one year as follows:

P = 20 * (1 + 0.7)¹
P = 20 * 1.7
P ≈ 34

Therefore, the estimated population after one year is approximately 34 deer.

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Answer:

put a point on the 9 (the line on the left of 10) and on the -6 (the line to the left of -5).

a. 9 is located to the right of -6

b. use the symbol >

Step-by-step explanation:

An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.

In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.

For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:

H₀: p = 10.

Ha: p < 10.

In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.

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Answer:

y-intercept is (3,0)

x-intercept is (0,3)

Step-by-step explanation:

Answer:

y-intercept ⇒ (0, 3)

x-intercept ⇒ (3, 0)

Step-by-step explanation:

The question asks us to find the x and y-intercepts for the following equation:

\(-7x -7y=-21\)

• Let's calculate the y-intercept first:

The point where a line crosses the y-axis is called the y-intercept. At this point, the value of the x-coordinate is 0.

Therefore, to find the y-intercept, we simply have to substitute x = 0 into the given equation and solve for y:

\(-7(0) - 7y = -21\)

⇒ \(-7y = -21\)

⇒ \(y = \frac{-21}{-7}\)                  [Dividing both sides of the equation by -7]

⇒ \(y = \bf 3\)  

Therefore, the y-intercept is (0, 3).

• Now let's calculate the x-intercept:

Similar to the y-intercept, the x-intercept is the point where the line crosses the x-axis and the value of the y-coordinate at this point is 0.

Therefore, substituting y = 0 into the given equation and solving for x, we get:

\(-7x -7(0) = -21\)

⇒\(-7x = -21\)

⇒ \(x = \frac{-21}{-7}\)                 [Dividing both sides of the equation by -7]

⇒ \(x = 3\)

Therefore, the x-intercept is (3, 0).

The area of the shaded region is 42cm².

Here we have the side of the square as 7 + 7 = 14cm

We know that the area of the square formula is a² and the area of the quadrant is πr²/4.

We can now subtract the area of the square from the area of the 4 quadrants, and we get

Area of shaded region = Area of the square – Area of 4 quadrants.

                                      = (7)² - 4× π(7)²/4

We can now solve the above steps, we get

Area of shaded region = 14×14 - 22/7 ×7×7 = 196-154 = 42cm².

The location is the degree of a place's size on a floor. The area of a plane vicinity or aircraft region refers to the place of a shape or planar lamina, even as floor area refers back to the location of an open surface or the boundary of a 3-dimensional object. The place may be understood as the amount of fabric with a given thickness that could be vital to fashion a model of the form or the amount of paint necessary to cover the floor with an unmarried coat. it's far the two-dimensional analog of the period of a curve (a one-dimensional concept) or the extent of a solid (a three-dimensional concept).

There are several well-known formulations for the areas of easy shapes including triangles, rectangles, and circles. using these formulas, the location of any polygon may be observed by means of dividing the polygon into triangles. For shapes with curved boundaries, calculus is typically required to compute the location. certainly, the trouble of figuring out the location of aircraft figures changed into a prime motivation for the ancient improvement of calculus.

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Answer:

yes just make sure to pay close attention