A hiker walks 8 miles in 4 hours. Her distance as a function of time can be modeled by the function s(t) = 314 - 1 + 312, where s is the distance in miles and t is the time in hours. Based on the model, what is her instantaneous velocity when she is 2.7 hours into her hike? Round to three decimal places.

The p-value indicates the probability of observing a relationship as extreme as the one in the data, assuming the null hypothesis is true.

Fail to reject the null hypothesis.

Activity 2_A: To compute the relative risk comparing the proportion of males who prefer beer to the proportion of females who prefer beer, we need to calculate the risk for each group and then compare them.

The risk is calculated by dividing the number of individuals in a specific group who prefer beer by the total number of individuals in that group. In this case, we'll calculate the risk separately for males and females.

For males:

Number of males who prefer beer = 158

Total number of males = 158 + 49 + 42 = 249

Risk for males = Number of males who prefer beer / Total number of males = 158 / 249 ≈ 0.6345

For females:

Number of females who prefer beer = 71

Total number of females = 71 + 139 + 82 = 292

Risk for females = Number of females who prefer beer / Total number of females = 71 / 292 ≈ 0.2432

Relative risk is the ratio of the two risks:

Relative Risk = Risk for males / Risk for females = 0.6345 / 0.2432 ≈ 2.61

Activity 2_B: The relative risk we computed in part A is approximately 2.61. This means that the proportion of males who prefer beer is about 2.61 times higher than the proportion of females who prefer beer.

Activity 2_C:

Step 1: State hypotheses and check assumptions.

H0 (null hypothesis): There is no relationship between beverage preference and biological sex in the population of all World Campus students.

H1 (alternative hypothesis): There is a relationship between beverage preference and biological sex in the population of all World Campus students.

Assumptions:

1. The data are independent and randomly sampled.

2. The expected frequency count for each cell in the contingency table is at least 5.

Activity 2_C:

Step 2: Compute the test statistic.

To conduct a chi-square test of independence, we use the chi-square test statistic. The formula for the chi-square test statistic is:

χ² = Σ [(O_ij - E_ij)² / E_ij]

Where:

O_ij = observed frequency in each cell

E_ij = expected frequency in each cell (under the assumption of independence)

We can use software like Minitab to calculate the chi-square test statistic.

Activity 2_C:

Step 3: Determine the p-value.

Using Minitab, we can obtain the p-value associated with the calculated chi-square test statistic. The p-value indicates the probability of observing a relationship as extreme as the one in the data, assuming the null hypothesis is true (i.e., no relationship).

Activity 2_C:

Step 4: Make a decision (reject or fail to reject the null).

Based on the obtained p-value, we compare it to a predetermined significance level (e.g., α = 0.05). If the p-value is less than the significance level, we reject the null hypothesis. Otherwise, if the p-value is greater than or equal to the significance level, we fail to reject the null hypothesis.

Activity 2_C:

Step 5: State a real-world conclusion.

Depending on the decision made in step 4, we can conclude whether there is evidence of a relationship between beverage preference and biological sex in the population of all World Campus students or not. If the null hypothesis is rejected, we would conclude that there is evidence of a relationship. If the null hypothesis is not rejected, we would conclude that there is no evidence of a relationship.

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Answer:

15x-5y+3z

Step-by-step explanation:

I divided everything by three.

Answer: 15x-5y+3z

Step-by-step explanation:

you’re supposed to divide everything by 3 and you’ll get the answer. 45/3=15 15/3=5 and 9/3=3. I hope that helped you.

Answer:

Step-by-step explanation:

Bill=3475

Interest=1.5%

Total payment made=3475+3475x1.5/100

=3475x101.5/100

=3527.125$ is the total payment (answer)

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, the change in the mean is calculated as follows:

Change in mean = Mean of second data set - Mean of first data set

Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:

Change in mean = Mean of second data set - Mean of first data set

= Mean of first data set - Mean of first data set

= 0

Thus, the change in the means between Kelly's original survey and her second survey is zero.

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Answer:

x= 20

<B= 150 degrees

Step-by-step explanation:

<A= 8x -10

<B= 3x +90

Since there are two parallel lines, if a transversal went through them, alternating angles are equal to each other. So <A= <B

8x -10= 3x +90

5x= 100

x= 20

<B= 3x +90

<B= 3(20) +90

<B= 60 +90

<B= 150 deg

Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

Given the data in the question;

We substitute into our equation above.

Speed = Distance ÷ time

70 miles per hour = 400 mile ÷ Elapsed time

Elapsed time = 400 miles ÷ 70 miles per hour

Elapsed time = 5.7 hours

Given the average speed and distance covered, the time taken for the driver to complete the road trip is 5.7 hours.

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Answer:

neither

Step-by-step explanation:

If f(x) = f(- x) then f(x) is even

If f(- x) = - f(x) then f(x) is odd

Given

f(x) = x - 2x + 5 = - x + 5 , then

f(- x) = - (- x) + 5 = x + 5

Since f(x) ≠ f(- x) then f(x) is not even

- f(x) = - (- x + 5) = x - 5

Since f(- x) ≠ - f(x) then f(x) is not odd

Thus f(x) is neither even nor odd

Answer:

It equals poop in the face.

Step-by-step explanation:

Good-Bye poopy face.

Fingerprinting is a technique used by forensic experts and crime scene investigators to identify individuals based on their unique fingerprints. Fingerprints are unique to each individual and have distinct ridge patterns that are used to identify individuals.

It is an effective way of identifying people because fingerprints remain the same throughout a person's life, unlike other physical characteristics.

When fingerprinting a person who is missing fingers, two notations that should be used on the fingerprint card are "amputation" and "absent." The notations on the fingerprint card should indicate that the fingers are missing due to amputation or absence.

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When fingerprinting a person missing fingers, the two notations that should be used on the fingerprint card are tented arch for a missing middle finger and amputation notation for a completely missing finger.

When fingerprinting a person who is missing fingers, two notations should be used on the fingerprint card:

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Answer:

0.15

Step-by-step explanation:

Answer:

1 1/24

Step-by-step explanation:

Pls give brainly if right :) also not 11 its 1u 1/24

Therefore, there are 10,626 possible 4-dip sundaes if order is not considered and no flavor is repeated.

a) The strategy to solve this problem would be A. Combination.

b) I chose the combination because in a sundae, the order of the flavors doesn't matter. For example, having flavors A, B, C, and D is the same as having flavors D, C, B, and A in a sundae. We are simply selecting four unique flavors out of the available 23 flavors.

c) If order is not considered and no flavor is repeated, we can calculate the number of possible 4-dip sundaes using combinations. We need to select 4 unique flavors out of the 23 available flavors. Using the combination formula, we can calculate this as:

C(23, 4) = 23! / (4! * (23 - 4)!) = 23! / (4! * 19!) = (23 * 22 * 21 * 20) / (4 * 3 * 2 * 1) = 23 * 22 * 21 * 20 / 24 = 10626

Therefore, there are 10,626 possible 4-dip sundaes if order is not considered and no flavor is repeated.

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The correct answer is c. hypothesized population proportion. In tests about a population proportion, p0 (pronounced as "p-naught") represents the hypothesized population proportion.

Which is the proportion of individuals in the population who possess a particular characteristic or exhibit a particular behavior. The hypothesized population proportion is typically derived from prior knowledge or information about the population or based on theoretical considerations.

It is used as a reference value to compare against the sample proportion (phat) to determine whether there is evidence of a statistically significant difference between the sample and population proportions.

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Answer:2.99x+12.99y=43.93

Step-by-step explanation:

The equation that models the purchases she made with $43.92 is :  

2.99\(x\) + 12.99\(y\) = 43.92

We have -

We have to find the equation that models her purchase of $43.92.

We can express the total money in terms of \(n\) and \(m\) using the following mathematical relation -

   \(Total\; Money\; spent = Money\:spent\;on\:item\;1 + Money\:spent\;on\:item\;2\;\)

Therefore -                            

                                                   \(X=5n+10m\)

The above process is called Modelling of equation.

We can use the similar process in the question given to us as -

43.99 = 2.99 x (number of pairs of socks bought) + 12.99 (number of blouses bought)

                                            43.99 = 2.99\(x\) + 12.99\(y\)

Therefore, the equation that models the purchases she made with $43.92 is -

                                            2.99\(x\) + 12.99\(y\) = 43.99

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Answer:

Sun-Li will be able to ride 12 rides. (30-5)/2=24

Step-by-step explanation:

Answer:

Step-by-step explanation:

640

Answer:

answer of this question is 0=0

in a stem-and-leaf display: b. one or more digits are used to define each stem, and a single digit is used to define each leaf

A stem and leaf plot, often known as a stem plot, is a method for categorizing discrete or continuous data. Data are organized as they are gathered using a stem and leaf plot. A stem and leaf plot resembles a bar graph in appearance. As each integer throughout the database is divided into a stem and a leaf, thus the name fits.

The last digit of each data point serves as the "leaf" in a stem and leaf plot, which divides the data into numerical points (the leading digit or digits).
Thus, in this case, correct option is:b

in a stem-and-leaf display: b. one or more digits are used to define each stem, and a single digit is used to define each leaf

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Answer:

The correct option is;

Both spreads are best described by the standard deviation

Step-by-step explanation:

The given information are;

,                                    College                       High School

High,                              20                               20

Low,                                6                                 3

Q₁,                                   8                                 5.5

Q₃,                                  18                                16

IQR,                                 10                                10.5

Median,                           14                                11

Mean,                              13.3                             11

σ,                                      5.2                             5.4

Checking for outliers, we have

College

Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7

Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33

For high school

Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25

Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75

Therefore, there are no outliers and the data is representative of the population

From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2

The difference between the low and the high is also approximately 3 standard deviations

Therefore the college spread is best described by the standard deviation

Similarly for the high school students, the IQR is approximately two standard deviations, the  difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4

Therefore the high school spread is also best described by the standard deviation.

Answer:

Both spreads are best described by the standard deviation

Step-by-step explanation:

The Volume=  180 cm³ and Area = 445.59997 cm²

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

The area is the volume a two-dimensional flat surface takes up in space. Square units are used in the calculation. The total area of all the outside surfaces makes up the surface area of a three-dimensional object, which is also expressed in square units.

Given:

length = 20cm

sides= 6 cm

Volume of Prism

AB= √s(s﹣a)(s﹣b)(s﹣c)

and, V=Area x h

so, Volume= 1/4 h √s(s﹣a)(s﹣b)(s﹣c)

Volume= 1/4 (20) √10.24(10.24﹣8.48)(10.24﹣6)(10.24﹣6)

Volume=  180 cm³

A=(ah +bh +ch )+1/2√-\(a^4\)+2(ab)²+2(ac)²﹣\(b^4\)+2(bc)²﹣\(c^4\)

Area = 6·20+8.48(20)+6(20)+1/2√\(-6^4\)+2( 6 x 8.48 )²+2(6x 8.48)²﹣\(8.48^4\)+2(6x6)²﹣\(6^4\)

Area = 445.59997 cm²

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a) The value of y₁(t) can be found by evaluating t₃ at t = 2, which gives y₁(t) = 8.

(b) The value of y₂(t) can be found by evaluating cos(t) at t = π/3, which gives y₂(t) = cos(π/3) = 1/2.

(c) The value of y₃(t) can be found by evaluating -1 - 3t₅ at t = 2, which gives y₃(t) = -1 - 3(2)^5 = -193.

The sampling property of impulses states that when an impulse function δ(t - a) is multiplied with a function f(t), the value of f(t) at t = a is obtained. Using this property, we can compute the given integrals involving impulse functions.

(a) For y₁(t), we have y₁(t) = ∫(t³ * δ(t - 2)) dt. Since δ(t - 2) is non-zero only when t = 2, we evaluate t³ at t = 2, giving y1(t) = 2³ = 8.

(b) For y₂(t), we have y₂(t) = ∫(cos(t) * δ(t - π/3)) dt. Since δ(t - π/3) is non-zero only when t = π/3, we evaluate cos(t) at t = π/3, giving y₂(t) = cos(π/3) = 1/2.

(c) For y₃(t), we have y₃(t) = ∫((-1 - 3t⁵) * δ(t - 2)) dt. Since δ(t - 2) is non-zero only when t = 2, we evaluate (-1 - 3t⁵) at t = 2, giving y₃(t) = -1 - 3(2)⁵ = -193.

Therefore, the values of y₁(t), y₂(t), and y₃(t) are 8, 1/2, and -193, respectively.

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Calculating this expression, we find that the length of the image of the rectangle is 36 in.

To find the length of the image of the rectangle after dilation, we can use the property of similar triangles. Since the width of the image is known to be 21 in., we can set up a proportion:

(image width) / (original width) = (image length) / (original length)

Substituting the known values, we have:

21 in. / 14 in. = (image length) / 24 in.

Solving for the image length, we get:

(image length) = (21 in. / 14 in.) * 24 in.

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The value of x in the equation is 5. 25

Algebraic expressions are defined as expressions comprising of terms, variables, coefficients, factors, and constants.

They are also made up of mathematical operations such as addition, multiplication, division, bracket, etc

Given the expression;

x - 9.8 / -2.2 = 9.7

Find the quotient

x - (-4. 45) = 9. 7

expand the bracket

x + 4. 45 = 9. 7

collect like terms

x  = 9. 7 - 4. 45

Subtract like terms

x = 5. 25

Thus, the value of x in the equation is 5. 25

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Answer:

8 oz of cocacola drink containing caffeine

8 oz of Decaffeinated Coke

Step-by-step explanation:

Th independent variables is that variable which causes a change in the output or the dependent or response variable. In the scenario described above, the type of drink Given to the participants is the independent variable

The Independent variable is the type of drink Given to the subjects with two levels ;

Levels :

cocacola drink containing caffeine

Decaffeinated Coke

Therefore, we can conclude that, there are two levels Of the jndependent variable, which are stated above.

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1, thus

y = x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = - 3 + c ⇒ c = 4 + 3 = 7

y = x + 7 ← equation of line

Hope this helps.

Answer:

Points (0,0) and (1,-3) form a line that represents a proportional relationship.

Step-by-step explanation:

A proportional relationship is one in which the ratio of x and y is always the same.  (x/y) or (y/x) equals a constant, k.

Such a relationship will result in a straight line, if graphed.  In a linear equation such as y = 2x, it can be seen that the ratio of y/x will always be 2 (or (1/2) for x/y).

But the straight line must go through the origin (0,0).  If not, the relationship in no longer a constant, since the value of the y-intercept (b in y=mx+b) will cause deviations to a constant ratio of x and y.

See the attached graph.  All points are marked, and equations for the lines connecting them are also plotted.  Only the first set of points (0,0) and (1,-3) line on a straight line (Green line)with an intercept of (0,0),  The other lines either have an intercept (Purple and Yellow) or have no relationship (Red Line:  y is always equal to 2, regardless of the value of red)

Answer:

EF = 58 units

Step-by-step explanation:

Given:

DF = 9x - 39

DE = 47

EF = 3x + 10

Find:

EF

Computation:

DF = DE + EF

9x - 39 = 47 + 3x + 10

9x - 3x = 47 + 39 + 10

6x = 96

x = 16

EF = 3x + 10

EF = 3(16) + 10

EF = 58 units

Answer:

1/ At 10km, they will cost the same.

2/ It costs $199.50

Step-by-step explanation:

We know

Rental Company A, a rental car costs $55.50, and every kilometer costs $14.40.

Let Y represent the total cost, and x is the number of kilometers. We have the equation

y = 14.40x + 55.50

Rental Company B, a rental car costs $91.50, and every kilometer costs $10.80.

y = 10.80x + 91.50

How many kilometers will they cost the same?

14.40x + 55.50 = 10.80x + 91.50

3.6x = 36

x = 10 km

How much will it cost?

y = 14.40(10) + 55.50

y = 144 + 55.50

y = $199.50

Answer:

9.9km

Step-by-step explanation:

11m times 60 seconds 660 m a minute 660m times 15 minutes 9900m per15 min 9900m divideded by 1000 9.9 km

there are 1000 meters in a kilometer

Answer:

y= 7/9x -17/9

Step-by-step explanation:

(5,2) (-4,-5)

slope intercept of a line is

y = mx +b

m = y2-y1/ x2-x1

= -5-2/ -4-5 = -7/-9

=7/9

if the line is passing through (5,2)

2= 7/9(5)+ b

2=35/9 +b

b = 2-35/9

b= -17/9

y= 7/9x -17/9