3 The slope of the tangent line to the curve y at the point (4, 0.75) is: . The equation of this tangent line can be written in the form y = mx + b where m is: and where b is:

To determine if it would be unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name, we can use the concept of standard deviation and z-scores.

First, we need to calculate the z-score, which measures how many standard deviations an observation is from the mean. The formula for calculating the z-score is:

z = (x - μ) / σ

where

z = (5 - 9.3) / 0.99

z = -4.394

Next, we can consult a standard normal distribution table or use statistical software to find the corresponding percentile associated with the z-score. This percentile represents the probability of randomly selecting a group of 12 people with fewer than 5 recognizing the Yummy brand name.

In this case, the z-score of -4.394 corresponds to an extremely low percentile, close to 0.

The exact probability can be determined using the z-score and the standard normal distribution table.

Since the probability is extremely low, it would be considered unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name.

However, it's important to note that the definition of "unusual" may vary depending on the specific criteria or threshold chosen.

In statistical terms, a common threshold for defining unusual events is a significance level of 5% (or 0.05). If the probability of observing the event is lower than the significance level, it is considered unusual.

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Answer:

Hey gd evening

Step-by-step explanation:

Can you please drop me some likes

Answer:

Step-by-step explanation:

SOLVING

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

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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Answer: the 4th/last option

Step-by-step explanation:

Y goes up when x goes down or up. When x = 0, y = 2

Step-by-step explanation: I like to have the 3 on the

outside and we can just write it as y = 3|x| + 2.

Now, we know that this is the form y = a|x - h| + k where

(h, k) represents the vertex of the function.

Notice that there is no value of h so we say that h = 0.

In addition, we know that k = 2 so our vertex is (0, 2).

This eliminates the first graph and the third graph.

Since a is positive, our function opens upward.

So graph 4 matches with our equation.

1. The fundamental risk question that has V(s) as the answer is this:

B. What can happen?

2. The analytic technique that is an essential part of the weighted ranking method is: C.Ratio Method

3. The statement that is likely true about the change in the value of the Phillies ball cap relative to the Yankees ball cap is this: A. The value of Phillie's ball cap increases while the value of the Yankee's cap decreases

4. Economics prefer to think of value in the subjective sense, whereas philosopher prefers to think of value in the objective sense.

Economists tend to think of value in the subjective sense, which means relative to an individual. When thinking of the value of goods and services, economists try to ascertain whether the consumers are satisfied or not.

Also, for philosophers, value is viewed in the objective sense. This means that they try to analyze the inherent value of things as against individual opinions of what is valuable.

Fundamental risk refers to the kind of risks that can impact an entire economy. V in the equation represents what can happen given a particular economic move.

The ratio method is a weighted ranking method where the things that are to be decided upon are first ranked and weights such as 10 are assigned to each of them. To determine a change in value in the Yankees and Phillies, the first value is obtained and then compared with the most current value.

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The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

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The relation between the Pattern A is the half of the Pattern B is given below. Then the correct option is C.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Molly is studying two number patterns.

Pattern A starts at 0 and has the rule “add 3”.

Pattern B starts at 0 and has the rule “add 6”.

The relation between the Pattern A and Pattern B is given below.

Pattern A = 1/2 x Pattern B

Then the correct option is C.

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Answer:

Number = 12

Step-by-step explanation:

2n-7=n+5 (+7 to both sides)

2n=n+12 (-n to both sides)

n=12

Julian has $10,824.32 at the end of the year and $14,859.47 after 5 years.

Compound interest is the interest paid by the bank for both of principle amount and the interest the account has already earned.

Julian starts bank with principle amount $10,000.

Bank compounds the interest quarterly at an annual interest rate 8%.

Then, total amount in the end of the year.

     \(A = p(1+\frac{r}{n} )^{nt}\)

         = \(10,000(1+\frac{0.08}{4} )^{4}\)

         = $10,824.32.(at the end of the year)

After 5 years,

    \(A=10000(1+\frac{0.08}{4} )^{(4)(5)}\)

        = $14,859.47(after 5 years)

Hence, Julian has $10,824.32 at the end of the year and $14,859.47 after 5 years.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

32

Step-by-step explanation:

The shapes are the same except for the direction so i think it would be 32

Answer:

32°

Step-by-step explanation:

quadrilateral ABCD is similar to quadrilateral WXYZ

Corresponding angles of similar polygons are congruent. We are told the two quadrilaterals are similar, so the pairs of corresponding angles are congruent.

You know angles are corresponding according to the statement of similarity is written.

quadrilateral ABCD is similar to quadrilateral WXYZ

The vertices are listed in the same order in both polygons showing which angles are corresponding.

<A corresponds to <W

m<W = m<A = 32°

Answer: 32°

The equation in slope-intercept form to predict cable TV costs in the future is C = 1.10t + 13

To write an equation in slope-intercept form to predict cable TV costs in the future, we can use the given information:

Since 1990, the average monthly price for basic cable TV programming in a particular region was approximately $13, and the cost has risen by about $1.10 a year.

Let's break down the information:

The initial cost in 1990 is $13.

The cost increases by $1.10 per year.

We can use these values to write the equation in slope-intercept form, which is in the form: y = mx + b, where "y" represents the dependent variable (average basic monthly cost), "x" represents the independent variable (time in years after 1990), "m" represents the slope, and "b" represents the y-intercept.

In this case, we have:

y = mx + b

The initial cost in 1990 (b) is $13, so the y-intercept is 13.

The cost increases by $1.10 per year, so the slope (m) is 1.10.

Therefore, the equation in slope-intercept form to predict cable TV costs in the future is:

C = 1.10t + 13

Where:

C represents the average basic monthly cost,

t represents the time in years after 1990.

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The mean and standard deviation of the lengths of cab rides in miles is: Mean = 4.667 miles, Standard deviation = 3.778 miles

To find the mean and standard deviation of the lengths of the businessman's cab rides, we need to use the given information. The fare equation, Fare = 2.85 + 2.7 (miles), tells us that the cost of the ride is a linear function of the distance traveled.

From the given data, we know that the businessman paid a total of $15.45 at the end of the month. This total cost is the sum of the initial fee and the cost per mile multiplied by the total distance traveled. So we can set up the equation 15.45 = 2.85 + 2.7(miles) to find the mean.

Simplifying the equation, we have 12.6 = 2.7(miles), and solving for miles gives us miles ≈ 4.667. Therefore, the mean length of the cab rides is approximately 4.667 miles.

To calculate the standard deviation, we are given that the standard deviation of the total cost is $10.20. Since the total cost is determined by the distance traveled, the standard deviation of the lengths of the cab rides will also be the same. Hence, the standard deviation of the lengths of the cab rides is approximately 3.778 miles.

Therefore, the correct answer is: O Mean 4.667 miles, Standard deviation = 3.778 miles.

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Answer:

V = 3534 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

the radius is 7.5 and the height is 20

V = pi ( 7.5)^2 * 20

V =1125 pi cm^3

Using the pi button for pi

V =3534.291735 cm^3

Rounding to the nearest whole number

V = 3534 cm^3

Answer:

b)3534 cm^3

Step-by-step explanation:

To find the area of a cylinder, you first have to find the area of the base which is in the shape of a circle. The area of a circle is given by the equation πr^2. In this case r, the radius, is 7.5 cm. So plugging in 7.5 for r you get 7.5^2 × π. Plugging in 3.1415 for π you get ~176.671. Now all you do is multiply this by the height, 20cm, and get the answer of ~3534 cm^3.

F is a bijective homomorphism, it is an isomorphism. Therefore, g/h is isomorphic to Z2xZ2.

We can start by finding the left cosets of h in g. Let's denote the cosets as g1, g2, g3, and g4. We have:

g1 = h = {(0,0),(2,0),(0,2),(2,2)}

g2 = {(1,0),(3,0),(1,2),(3,2)}

g3 = {(0,1),(2,1),(0,3),(2,3)}

g4 = {(1,1),(3,1),(1,3),(3,3)}

Now, we can define a function f: g/h -> Z2xZ2 as follows:

f(g1) = (0,0)

f(g2) = (1,0)

f(g3) = (0,1)

f(g4) = (1,1)

We can check that f is a homomorphism:

f(g1g1) = f(g1) = (0,0)

f(g2g2) = f(g1) = (0,0)

f(g3g3) = f(g1) = (0,0)

f(g4g4) = f(g1) = (0,0)

f(g1g2) = f(g3g4) = (1,0)

f(g1g3) = f(g2g4) = (0,1)

Since f is a bijective homomorphism, it is an isomorphism. Therefore, g/h is isomorphic to Z2xZ2.

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Answer:

x=1.3204690000000001

Step-by-step explanation:

6×7=42

6=6.

x=7

x=(7)

(1_7)

x=1.3204690000000001

The value of S, which represents the length of each side of the square, is 4 miles.

To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.

Perimeter = 4 × S

Given that the perimeter is 16 miles, we can substitute this value into the equation:

16 = 4 × S

To solve for S, we divide both sides of the equation by 4:

16 ÷ 4 = S

4 = S

Therefore, S, which stands for the square's side lengths, has a value of 4 miles.

So, S = 4 miles.

This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.

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Answer:

its $375.70

Step-by-step explanation:

i guessed and got it right. good luck guys. love u. remeber to eat n drink water and try to spend some time outside if you can! i know its hard rn but we can do it! im proud of u all

The value of Erica's approximate monthly payment is $375.70. The correct option is C .

Rate of Interest is the rate at which a loan is borrowed or the rate at which an investment gives return .

It is given that

Student Loan Total =  $29,158

Rate of Interest = 9.4 %

Time Period = 10 years

The monthly payment is given by

\(\rm \dfrac{F p(i) }{ ( 1 - ( 1 + i )^{-n})}\)

Substituting the values in the equation

\(\rm = \dfrac{29158* (0.094/12) }{ ( 1 - ( 1 + (0.094/12) )^{-12*10})}\)

= $ 375.70

Therefore,The value of Erica's approximate monthly payment is $375.70. The correct option is C.

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y1'y2 = (t^6/4) y1 tan(t) y2 + (sin(t)/t) y1 ln|y2| - 2y1 + C y2^2

This is the general solution to the differential equation.

To solve this differential equation, we can use the method of integrating factors.

First, we rearrange the equation to get it into a standard form:

y′1y′2 = t^6y1/(4y2) sec(t), sin(t)y1/(ty2) - 2

y′1y′2 = (t^6/4) (y1/y2) sec(t), (sin(t)/t) (y1/y2) - 2(y1/y2)

Now, we introduce an integrating factor e^(-2ln(y2)) = 1/y2^2:

y′1y′2/y2^2 = (t^6/4) (y1/y2^3) sec(t), (sin(t)/t) (y1/y2^3) - 2/y2^2

Now, we can integrate both sides with respect to t:

y1'y2^-2 = (t^6/4) ∫ y1/y2^3 sec(t) dt + (sin(t)/t) ∫ y1/y2^3 dt - 2/y2^2 ∫ dt

y1'y2^-2 = (t^6/4) y1/y2^2 tan(t) + (sin(t)/t) ln|y1/y2| - 2/y2^2 t + C

where C is the constant of integration.

Multiplying both sides by y2^2, we get:

y1'y2 = (t^6/4) y1 tan(t) y2 + (sin(t)/t) y1 ln|y2| - 2y1 + C y2^2

This is the general solution to the differential equation.

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The probability distribution for red ball is 1/16.

we have,

Red ball = 1

White ball= 3

Total ball = 4

Probability of getting a red ball both time

= 1/4 x 1/4

= 1/16

Thus, the required probability is 1/16.

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Answer: Z is less than Zc ∴ 1.342 < 1.96

Therefore, Null hypothesis is not Rejected.

There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.

Step-by-step explanation:

Given that;

U = 75

X = 78

standard deviation α = 10

sample size n = 20

population is normally distributed

PROBLEM is to test

H₀ : U = 75

H₁ : U ≠ 75

TEST STATISTIC

since we know the standard deviation

Z =  (X - U) / ( α /√n)

Z = ( 78 - 75 ) / ( 10 / √20)

Z = 1.3416 ≈ 1.342

Now suppose we need to test at ∝ = 0.05 level of significance,

Then Rejection region for the two tailed test is Zc = 1.96

∴ Reject H₀ if Z > Zc

and we know that Z is less than Zc ∴ 1.342 < 1.96

Therefore, Null hypothesis is not Rejected.

There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.

Testing the hypothesis, it is found that since the p-value of the test is 0.1802 > 0.05, which means that the average test score earned by the first 20 students to turn in their tests was not significantly different from the overall mean.

At the null hypothesis, we test if the mean is of 75, that is:

\(H_0: \mu = 75\)

At the alternative hypothesis, we test if the mean is different of 75, that is:

\(H_1: \mu \neq 75\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which:

For this problem, we have that:

\(X = 78, \mu = 75, \sigma = 10, n = 20\)

The value of the test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{78 - 75}{\frac{10}{\sqrt{20}}}\)

\(z = 1.34\)

Since this is a two-tailed test, the p-value of the test is P(|z| < 1.34), which is 2 multiplied by the p-value of z = -1.34.

Looking at the z-table, z = -1.34 has a p-value of 0.0901.

2(0.0901) = 0.1802

The p-value of the test is 0.1802 > 0.05, which means that the average test score earned by the first 20 students to turn in their tests was not significantly different from the overall mean.

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Answer: p≈ 3216

Step-by-step explanation:

A permit is a legal document that enables a person or a business to utilize a specific area for a project or other activity.

To obtain permission to use a specific location for a project, you may need to submit a request in writing or fill out a permission form. The exact document that you need to obtain permission will depend on the specific location and the requirements of the owner or manager of the location.

You may also need to provide information about your project, including the purpose, duration, and any potential impact on the location. Depending on the location and the nature of your project, you may also need to obtain other approvals or permits, such as building permits or environmental permits.

It is a good idea to research the requirements for using the specific location that you are interested in and to contact the appropriate authorities or individuals to find out what documents you need to obtain permission.

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Answer:

b

Step-by-step explanation:

Answer:

It’s c 12.25

Step-by-step explanation:

In research studies, an extraneous variable refers to a variable other than the independent variable that seems to have influenced the dependent variable.

These variables are sometimes also called "confounding variables" as they can create confusion or distortion in the relationship between the independent and dependent variables.

Extraneous variables can arise due to various factors such as measurement errors, participant characteristics, or environmental conditions. They have the potential to introduce bias and obscure the true effect of the independent variable on the dependent variable. To ensure accurate and valid results, researchers need to identify and control for these extraneous variables.

One common approach is to use statistical techniques such as regression analysis to account for the effects of extraneous variables by including them as covariates in the analysis. By doing so, researchers can isolate the specific impact of the independent variable on the dependent variable, while holding constant the influence of extraneous variables.

Overall, recognizing and managing extraneous variables is crucial in research to establish a clear cause-and-effect relationship between the independent and dependent variables and enhance the internal validity of the study.

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Tim drove at a distance of 511 km in 7 h. His average driving speed in km/h is 73.

By computing Tim's average driving speed, we have to divide the total distance that he traveled by the time it takes him to complete the whole journey. In this respect, Tim drove a total distance of 511 km in 7 hours.

Average driving speed = Total distance/Total time taken

By putting the values in the equation we get :

Average driving speed =\(\frac{ 511 km}{7 h}\)

Now by computing  the average driving speed:

Average driving speed = 73 km

So, Tim's average driving speed was 73 km/h.

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Answer:

x=3

Step-by-step explanation:

Simplifying

8(2x + 4) = 80

Reorder the terms:

8(4 + 2x) = 80

(4 * 8 + 2x * 8) = 80

(32 + 16x) = 80

Solving

32 + 16x = 80

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-32' to each side of the equation.

32 + -32 + 16x = 80 + -32

Combine like terms: 32 + -32 = 0

0 + 16x = 80 + -32

16x = 80 + -32

Combine like terms: 80 + -32 = 48

16x = 48

Divide each side by '16'.

x = 3

Simplifying

x = 3

Answer:

x =  -7

Step-by-step explanation:

WORK:

1. 2x + 4= -80/8

​​ 2. 2x + 4 = 10

3. 2x = -10 - 4

4. 2x = 14

5. x = -14/2

SIMPLIFY: -14/2 = -7

I hope this helps!

The True equations are

2. 15 x 0 =0

3. 1.4 + 2.7 = 4.1

5. 4 2/3 = 5- 1/3

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

1. 5 + 0 = 0

5 = 0

This is not an equation because LHS ≠ RHS.

2. 15 x 0 =0

0= 0

This is an Equation.

3. 1.4 + 2.7 = 4.1

4.1 = 4.1

This is an Equation.

4. 2/3 x 5/9 = 7/12

10/ 27= 7/12

This is not an Equation.

5. 4 2/3 = 5- 1/3

14/3 = 14/3

This is an Equation

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