A biologist studying sexual dimorphism in fish hypothesized that the size difference between males and females would differ among three congeneric species (taxon-a, taxon-b, taxon-c) due to variation in resource availability among the environments where the three taxa occur. To address this question, the researcher measured the masses of 10 males and 10 females for each of the three taxa.

Please fill in each missing entry in the ANOVA table below. (Include at least 2 digits after the decimal point for each numerical value.)

Df Sum.Sq Mean.Sq F.value
gender Answer 272 Answer Answer
species Answer 2305 Answer Answer
gender:species Answer 49 Answer Answer
Residuals Answer 914 Answer
What proportion of the variance used to fit the model is explained by the fitted model? (Round to 2 digits after the decimal point.) Answer

Which row in the ANOVA table addresses the researcher’s hypothesis that the amount of sexual dimorphism (i.e. difference in weight between males and females) differs among the three taxa? gender, species, gender:species

Do the results support the researcher’s hypothesis?

Answer:

 x=37°

Step-by-step explanation:

   Since 80°+75°+(x-12)°=180°   we have that x=180°-80°-75°+12°

   so, x=37°

f(-3)=17

f(0)=8

f(9)=18

Explanation

Evaluating a function means finding the value of f(x) that corresponds to a given value of x, so we need to input the given value and operate

Step 1

given

a) f(-3)

this is when x=-3, so replace and calculate

hence

f(-3)=17

Step 2

f(0)

so, let x= 0 ,replace and calculate

so

f(0)=8

Step 3

f(9)

finally, for x=9

so

so

f(9)=18

There is a significant difference between the mean hourly wages paid by Company A and Company B in the same industry.

To test the hypothesis regarding the difference in mean hourly wages between the two companies, we can perform a two-sample t-test. The null hypothesis, denoted as H0, assumes that there is no significant difference in the mean hourly wages between the two companies. The alternative hypothesis, denoted as Ha, assumes that there is a significant difference in the mean hourly wages between the two companies.

With a p-value of 0.0052, which is less than the significance level of 0.05, we can reject the null hypothesis. This indicates that there is sufficient evidence to suggest a significant difference in the mean hourly wages paid by Company A and Company B in the same industry.

By rejecting the null hypothesis, we conclude that the mean hourly wage for one company is significantly different from the mean hourly wage of the other company. However, we cannot determine from this analysis alone which company has the higher or lower mean hourly wage. Further investigation or additional statistical tests would be needed to make such comparisons.

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The  dimension of L + M is 28.

The correct option is A.

We have,

dim L = 14, dim M = 17,

and dim(L ∩ M) = 3,

To find the dimension of the sum of subspaces L and M, we can use the following formula:

dim(L + M) = dim L + dim M - dim(L ∩ M)

Now, Substitute these values into the formula:

dim(L + M) = 14 + 17 - 3

dim(L + M) = 28

Therefore, the dimension of L + M is 28.

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The ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions.

In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.

The radius of the sphere is denoted by the letter r, and the specified point represents its center.

Balls, bubbles, planets, and water drops are a few easy examples.

Every point on a sphere's surface is equally spaced from the center, and the object has no edges or vertices.

So, let's take the 2 radii:

x where x is 5.

5x where 5x is 25.

Now, calculate the volume of the sphere in both cases.

Sphere volume formula:

V = 4/3πr²

Where r = 5.

V = 4/3πr²

V = 523.59878

Round off: 524 units²

Where r = 25.

V = 4/3πr²

V = 65449.84695

Rounding off: 65450 units²

Now, divide to find the ratio:

65450/524 = 124.90

Rounding off: 125

Therefore, the ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

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Complete question:

If the radius of sphere B is five times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A is ____.

Select one:

A. 0.008

B. 25

C. 125

D. 5

E. 0.2

Step-by-step explanation:

x=12

y=3

where k is a constant

k=12

=3

cross multiply

3k=x(when x is 12)

where k is a constant

Answer:

I think A is the right answer

Answer its c hope this helps

To find the Cartesian products of three sets: A = {a, b}, B = {1, 2}, and C = {2, 3}, you need to form all possible ordered pairs from the given sets.

1. A x B: This is the set of all ordered pairs with the first element from set A and the second element from set B.
A x B = {(a, 1), (a, 2), (b, 1), (b, 2)}

2. A x C: This is the set of all ordered pairs with the first element from set A and the second element from set C.
A x C = {(a, 2), (a, 3), (b, 2), (b, 3)}

3. B x C: This is the set of all ordered pairs with the first element from set B and the second element from set C.
B x C = {(1, 2), (1, 3), (2, 2), (2, 3)}

These are the Cartesian products of the sets A, B, and C.

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Answer:

X=100 number of individuals who use public transportation

n =140 number of people surveyed

The estimated proportion is given by:

And that represent 71.4%

Step-by-step explanation:

Answer:

36.6 years

Step-by-step explanation:

Here, we are to find the number of years it will take for the population of deers to reach 3,000

What to do here is simply substitute the value of 3,000 for P and use it to find t

3000 = 578e^0.045t

Divide through by 578

5.1903 = e^0.045t

Take the ln (natural logarithm of both sides)

Recall ln e = 1

ln 5.1903 = ln e^0.045t

ln 5.1903 = 0.045t

0.045t = 1.6468

t = 1.6468/0.045

t = 36.595 years which is 36.6 years

Answer:

Step-by-step explanation:

Given polynomial is,

x - 1 + 2x³ - 3x⁴ + 5x⁵

2.1)  Number of terms in the given polynomial = 5

2.2) Degree of polynomial = Highest exponent of polynomial = 5

2.3) Constant term of the given polynomial = 1

2.4) Polynomial in descending order,

      5x⁵ - 3x⁴ + 2x³ + x - 1

2.5) Value of polynomial at x = -1

      5(-1)⁵ - 3(-1)⁴ + 2(-1)³ + (-1) - 1 = -5 - 3 - 2 - 1 - 1

                                                   = -12

The independent variable in this study is the place of residence, specifically whether the participants live in Florida or Pennsylvania.

The researcher is interested in examining the relationship between the location of residence and the amount of money spent on clothes. By selecting participants from both Florida and Pennsylvania, the researcher can compare the spending habits of individuals from these two locations and determine if there is a significant difference. Thus, the independent variable is the categorical variable that defines the groups being compared, which in this case is the place of residence.

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Answer:

The Shark

Step-by-step explanation:

If a shark can swim 4 kilometers in 1/10 of an hour and a blue whale can swim 5 kilometers in 1/4 of an hour then we can multiply 5 kilometers by 4 and 4 kilometers by 5 then we get both of them have travled 20 kilometers. Then we multiply 1/10 by 5 and 1/4 by 4 and we get that the shark travled 20 kilometers in 5/10 of an hour (or half an hour) and the blue whale travled 20 kilometers in 1 1/4 of an hour (or 1 hour and 15 minutes)

Answer: -14C

Step-by-step explanation:

Temperature at 07:00 > Temperature at 01:00
-3C > -3C - 11
Temperature at 01:00 = -3 - 11
Temperature at 01:00 = -14

The equation representing the situation is: Total Earnings = (Number of Car Washes) × (Charge per Car Wash) + (Tips)

To represent the situation where Rhett made 250 car washes with his mobile car wash company, charging $75.00 per car wash and receiving $35.00 in tips, we can use an equation. The equation captures the total earnings and takes into account the number of car washes, the charge per car wash, and the tips received.

The first part of the equation, (Number of Car Washes) × (Charge per Car Wash), calculates the earnings from the car washes themselves. In this case, Rhett made 250 car washes and charged $75.00 per car wash, so the expression would be 250 × $75.00.

The second part of the equation, (Tips), accounts for the additional income received in the form of tips. In this case, Rhett received $35.00 in tips.

By combining these two components, we get the equation: Total Earnings = (250 × $75.00) + $35.00, which represents the total earnings made by Rhett through his mobile car wash business.

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Answer:

34 cm; 48 cm^2

Step-by-step explanation:

5+5+12+12=10+24=34

12(4)=48

Answer:

4.4%

Step-by-step explanation:

A=P\left(1+\frac{r}{n}\right)^{nt}

A=P(1+  

n

r

​  

)  

nt

Compound interest formula

A=11700\hspace{35px}P=6900\hspace{35px}t=12\hspace{35px}n=365

A=11700P=6900t=12n=365

Given values

11700=

11700=

\,\,6900\left(1+\frac{r}{365}\right)^{365(12)}

6900(1+  

365

r

​  

)  

365(12)

Plug in values

11700=

11700=

\,\,6900\left(1+\frac{r}{365}\right)^{4380}

6900(1+  

365

r

​  

)  

4380

Multiply

\frac{11700}{6900}=

6900

11700

​  

=

\,\,\frac{6900\left(1+\frac{r}{365}\right)^{4380}}{6900}

6900

6900(1+  

365

r

​  

)  

4380

​  

Divide by 6900

1.695652174=

1.695652174=

\,\,\left(1+\frac{r}{365}\right)^{4380}

(1+  

365

r

​  

)  

4380

\left(1.695652174\right)^{1/4380}=

(1.695652174)  

1/4380

=

\,\,\left[\left(1+\frac{r}{365}\right)^{4380}\right]^{1/4380}

[(1+  

365

r

​  

)  

4380

]  

1/4380

Raise both sides to 1/4380 power

1.000120571=

1.000120571=

\,\,1+\frac{r}{365}

1+  

365

r

​  

-1\phantom{=}

−1=

\,\,-1

−1

Subtract 1

0.000120571=

0.000120571=

\,\,\frac{r}{365}

365

r

​  

365\left(0.0001206\right)=

365(0.0001206)=

\,\,\left(\frac{r}{365}\right)365

(  

365

r

​  

)365

Multiply by 365

0.044008415=

0.044008415=

\,\,r

r

4.4008415\%=

4.4008415%=

\,\,r

r

Answer:

4.4%  

Step-by-step explanation:

The probability that the family will have three children of the same gender is 1/4 or 25%.

To calculate the probability of having three children of the same gender, we can consider the possible outcomes for each child's gender.

Since the probability of having a boy or a girl is equal (assuming a 50% chance for each), we have two possible outcomes for each child: boy (B) or girl (G).

The total number of possible outcomes for the three children is 2 * 2 * 2 = 8, as each child has two possible genders.

Now, let's calculate the number of favorable outcomes where all three children have the same gender.

If they have all boys (BBB), there is only one favorable outcome.

If they have all girls (GGG), there is also only one favorable outcome.

Therefore, the total number of favorable outcomes is 1 + 1 = 2.

The probability of having three children of the same gender is then 2 favorable outcomes out of 8 possible outcomes, which can be expressed as 2/8 or simplified to 1/4.

So, the probability that the family will have three children of the same gender is 1/4 or 25%.

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Answer:100

Step-by-step explanation:

Given

Last year 160 new candidates submitted to work for agency

It is expected to increase by 25% that is , increase in one year should be

\(\Rightarrow 160+160\times 25\%\\\Rightarrow 160(1+0.25)\\\Rightarrow 160\times 1.25\\\Rightarrow 200\)

200 application in the upcoming year. So, in 6 months, agency must have accepted 100 applications.

Part A

\(4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3\)

So, the x-intercepts are \(\boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}\)

Part B

The vertex will be a minimum because the coefficient of \(x^2\) is positive.

The x-coordinate of the vertex is \(x=-\frac{-7}{2(4)}=\frac{7}{8}\)

Substituting this back into the function, we get \(f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}\)

So, the coordinates of the vertex are \(\boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}\)

Part C

Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.

The graph is shown in the attached image.

Answer:

Step-by-step explanation:

12

Answer:

Alright, lets get started.

Angle 3 and angle 4 are adjacent angles because they are having the common side.

They both are on straight line, so, their addition will be 180°.

Suppose angle 4 is x , hence

angle 4 + angle 3 = 180

Subtracting 89 from both sides

°

Hence angle 4 is 91°. : Answer

mark me brianlist

Step-by-step explanation:

The given statement is True for the scoring rule in bowling.

Scoring Rule in Bowling

The number of frames in a game of bowling is ten. According to the scoring rule in bowling, the bowler will have two opportunities to use their bowling ball to remove as many pins as they can throughout each frame.

Every bowler will complete their frame in a predefined order before the next frame starts in games with more than one bowler, which is typical.

Rule for Spare

A bowler is given a strike if they can remove all 10 pins with their first ball. A spare is achieved when the bowler uses both of the two balls in a frame to remove all 10 pins.

Depending on whether the next two balls (for a strike) or the next ball (for a goal) are scored, bonus points are given for both of these (for a spare), as per the scoring rule.

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Answer: it would be A

Step-by-step explanation:

x the cost in dollars of a hamburger and y the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

4x

And the cost of 6 soft drinks  can be represented with this expression:

6y

The total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation

3x+6y=24

The following expression represents the the cost of 3 soft drinks:

3y

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

4x+3y=22

The maximum distance the mouse can jump is 30.0029 ft. This means that the mouse can jump 30.0029 feet horizontally.

Given that y=−0.2222x2+1.3333x represents how high (in feet) the mouse can jump for a relatively long hop modeled, where x represents how far (in feet) the mouse can jump.

To determine how high the mouse can jump, we are given the equation of the hop as; y = −0.2222x² + 1.3333x

We will use the given equation to find out the maximum height attained by the mouse. We are given that a relatively long hop can be modeled by y=−0.2222x²+1.3333x.

Using the quadratic formula, we can determine the maximum height by evaluating the value of x using the formula;

x = -b/2a

Where a = -0.2222 and b = 1.3333x = -1.3333 / 2(-0.2222) = 30.0029 ft

We can substitute this value into the equation to determine how high the mouse can jump.

y = −0.2222(30.0029)² + 1.3333(30.0029)≈ 5.00 ft.

Therefore, the maximum height the mouse can jump is 5.00 ft.

To determine how far the mouse can jump horizontally, we need to determine the value of x that maximizes y.

We can achieve this using the formula;

x = -b/2a

Where a = -0.2222 and b = 1.3333x = -1.3333 / 2(-0.2222) = 30.0029 ft.

Therefore, the maximum distance the mouse can jump is 30.0029 ft.

This means that the mouse can jump 30.0029 feet horizontally.

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Answer:

-2.0659021

Step-by-step explanation:

If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've ... In this problem we divide 4.71 by 3.2 out to 3 decimal places in the quotient answer.

Hope this helps

9514 1404 393

Answer:

  (1, 2)

  (0, 1)

Step-by-step explanation:

The function tells you the second number of the pair will be one more than the first number of the pair. That is, the pair will be ...

  (x, 1+x)

Appropriate choices are ...

  (1, 2)

  (0, 1)

The school spent a total of $28.36 on each student for passes and lunch. if it is arranging a field trip to the zoo and spends 634. 24 dollars on passes for 30 students and 2 teachers and total of 256. 20 dollars on lunch for just the students.

The total amount spent on passes for 30 students and 2 teachers is $634.24.

We can start by subtracting the cost of the teachers' passes from the total cost to get the cost of the passes for the students alone.

Cost of passes for students = $634.24 - cost of 2 teachers' passes

The number of students is 30, so the cost of each student's pass is:

Cost of each student's pass = (Cost of passes for students) / (Number of students)

We know the cost of the passes for the students, so we just need to divide by 30 to get the cost of each student's pass.

To find the cost of lunch for each student, we can divide the total cost of lunch for the students by the number of students.

So, the cost of each student's pass is:

Cost of passes for students = $634.24 - cost of 2 teachers' passes

Cost of passes for students = $634.24 - 2x (Cost of each teacher's pass)

Cost of passes for students = $634.24 - 2x(Cost for 1 teacher pass)

Cost of passes for students = $634.24 - 2x(Cost of 1/32 of total cost)

Cost of passes for students = $634.24 - (2/32)x($634.24)

Cost of passes for students = $634.24 - $39.64

Cost of passes for students = $594.60

Cost of each student's pass = (Cost of passes for students) / (Number of students)

Cost of each student's pass = $594.60 / 30

Cost of each student's pass = $19.82

The cost of lunch for the students is $256.20 and there are 30 students, so the cost of lunch for each student is:

Cost of lunch for each student = (Total cost of lunch for students) / (Number of students)

Cost of lunch for each student = $256.20 / 30

Cost of lunch for each student = $8.54

Therefore, the total cost of passes and lunch for each student is:

Total cost for each student = Cost of pass + Cost of lunch

Total cost for each student = $19.82 + $8.54

Total cost for each student = $28.36

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The area of the roof is 157.5 .

It is given that the roof of a clock tower is a pentagonal pyramid.

Each side of the base is 7 ft long.

The slant height is 9 ft.

we know that, to find area we have,

Area=1/2 × 7 × 9 × 5

= 315/2

= 157.5

Hence, 157.5 square feet is the area of the roof.

Pentagonal pyramid

A pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point.

It is a three  dimensional figure, it is a solid figure or an object or shape that has three dimensions—length, width, and height.

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Answer:

Q1 = 6.45f/s

Q2 = 0.633 times

Q3 = 0.107 miles

Step-by-step explanation:

Q1: Since

4.4 miles = 1 hour

and

1 mile = 5,280 feet

1 hour = 3600 seconds

Then 4.4 miles

= 5,280 feet × 4.4

= 23,232 feet / 3600 seconds

= 6.453f/s

= 6.45f/s

Q2: Wing beat per minute

= 38 ÷ 60

= 0.633 times

Q3: Miles per minute

Since 6.4 miles = 1 hour,

6.4 miles = 1 × 60

6.4 miles = 60 minutes

x miles = 1 minute

= 6.4/60

= 0.107 miles