Alice weighs 20 dogs and 20 cats. The mean weight for the dogs is 32kg and the mean weight for cats is 4kg. The range in weight for dogs is 45kg and the range in weight for cats is 0.5kg. State two conclusions you can draw from this information.

Answers

Answer 1

With the mean and range, we can estimate the weights of the smallest and largest animals in each group.

For cats the interval is [ 3.75kg, 4.25kg] and for dogs is [9.5kg, 54.5kg]

Which conclusions can be made with the given information?

We know that the mean weight for cats is 4kg, and the range (difference between the largest value and smallest value) is 0.5kg.

From that, we can conclude with some confidence (but not exactly), that the largest cat weights 4kg + 0.5kg/2 = 4.25kgAnd the smallest cat weights 4kg - 0.5kg/2 = 3.75kg

(Assuming a normal distribution).

Similar for the dogs, the mean weight is 32kg and the range is 45kg, then:

The largest dog weights 32kg + 45kg/2 = 54.5kgThe smallest dog weights 32kg - 45kg/2 = 9.5kg

(again, assuming a normal distribution).

If you want to learn more about means and ranges:

https://brainly.com/question/14532771

#SPJ1


Related Questions

Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFraction 9 Over 4 EndFraction. and passes through the point (3, –2) in function notation.

Answers

Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)

How to determine the equation of the line?

The given parameters are:

Slope, m = 3/4

Point, (x,y) = (3,-2)

The equation of the line is calculated using:

y - y1 = m(x - x1)

Substitute the known parameters

y + 2= 3/4(x - 3)

From the question;

Andy's equation is y + 2 = 3/4(x - 9/4)

The above equation is different from the actual equation y + 2= 3/4(x - 3)

Hence, Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)

Read more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

Solve for the exact value of x.

Answers

Answer:

x = 4

Step-by-step explanation:

Solve for x.
←2x+6
X+9
x = [?]

Answers

Answer:

3

Step-by-step explanation:

A simple way to solve this is by substituting, we start with trying 1 for x, 2+6=8, and 1+9=10. Because the two values are different, that means 1 is the incorrect value. We can try 2, 4+6=10, and 2+9=11, once again inequivalent. We finally try 3, and 6+6=12 and 3+9=12 meaning x must be 3

How do you write y=mx+b for this equation 21-y-mx=34

Answers

Answer:

y = -mx - 13.

Step-by-step explanation:

21-y-mx=34

Add y to both sides

21 - mx = 34 + y

Subtract 34 from both sides

-13 - mx = y

Rearrange:

y = -mx - 13.

Fred's teacher gave the class the
quadratic function f(x) = 4x² + 16x+9
State two different methods Fred could use to solve the equation f(x) = 0.

Using one of the methods stated in part a, solve f(x) = 0 for x, to the nearest
tenth.

Answers

Two methods Fred could use to solve the equation are

The completing the square method The formula method

The solution for the function is x ≅ -0.7 OR x ≅ - 3.3

Solving quadratic equations

From the question, we are to solve the given quadratic equation

Two methods Fred could use to solve the equation are

The completing the square method The formula method

The given quadratic function is

f(x) = 4x² + 16x+9

Now, we are to solve f(x) = 0 for x

That is,

4x² + 16x+9 = 0

Using the formula method to solve the equation

[tex]x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}[/tex]

In the equation,

a = 4, b = 16, and c = 9

∴ [tex]x =\frac{-16 \pm \sqrt{16^{2}-4(4)(9) } }{2(4)}[/tex]

[tex]x =\frac{-16 \pm \sqrt{256-144 } }{8}[/tex]

[tex]x =\frac{-16 \pm \sqrt{112 } }{8}[/tex]

[tex]x =\frac{-16 \pm 10.58 }{8}[/tex]

[tex]x =\frac{-16+ 10.58 }{8}[/tex] OR [tex]x =\frac{-16- 10.58 }{8}[/tex]

[tex]x =\frac{-5.42 }{8}[/tex] OR [tex]x =\frac{-26.58 }{8}[/tex]

x = -0.6771 OR x = - 3.3229

x ≅ -0.7 OR x ≅ - 3.3

Hence, the solution for the function is x ≅ -0.7 OR x ≅ - 3.3

Learn more on Solving quadratic equations here: https://brainly.com/question/8649555

#SPJ1

WILL GIVE BRAINLISEST AND 60 POINTS !!!!
Question 5(Multiple Choice Worth 4 points)
(04.04)
Which graph represents a linear function?

Answers

Answer:

3rd one

Step-by-step explanation:

it is the only one with a function and a straight line

guys help just with part b for number 2!

Answers

Answer:

22 8th graders

Step-by-step explanation:

if 25% of the 88 kids are 8th graders then do this.

88x.25=22

88x.75=66

there are 22 eighth graders

and 66 seventh graders.

-9y- 10 = x
5x +6y = -11

Answers

Answer: x = -1 , y = -1

A local television station sells time slots for programs in 303030-minute intervals. If the station operates 242424 hours per day, every day of the week, what is the total number of 303030-minute time slots the station can sell for Tuesday and Wednesday

Answers

Answer:

96

Step-by-step explanation:

Each day is 24 hours.

2 days = 2 × 24 hours = 48 hours

30-minute slot = 0.5-hour slot

48 hours / 0.5 hours = 96

Answer: 96

Answer:

96

Step-by-step explanation:

Tiles with the letters A,B,C,D,E,F,G and H written on them are placed in a bag. Malik draws out on letter at random. Which statements about the situation are true? Check all that apply.

The number of possible outcomes is 8.
The probability is drawing the tile with E written on it is 1/4.
P(vowel)=1/4
P(vowel) + P(consonant) % 1
Choosing one letter at random is a simple event.

Answers

Using the probability concept, it is found that the correct statements are given as follows:

The number of possible outcomes is 8.P(vowel)=1/4P(vowel) + P(consonant) = 1.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are eight letters, two of which are vowels and six of which are consonants.

Hence:

P(vowel) = 2/8 = 1/4.P(consonant) = 6/8 = 3/4.P(vowel) + P(consonant) = 1/4 + 3/4 = 1.

E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

A, C, E

Step-by-step explanation:

The correct answers are A C E

or if you want to be more specific

A: The number of possible outcomes is 8.

C: P(vowel)=1/4

E: Choosing one letter at random is a simple event.

I got it right on Edge22

Help lolllllllllllll

Answers

Answer:

-5 or 5

Step-by-step explanation:

the absolute value of -5 is 5. The absolute value of 5 is also 5.

Hope this helps :)

Help asap plss step by step maybe?

Answers

(- 9 + a)/15 > 1 15 * (- 9 + 3)/15 > 15 - 9 + 3 > 15 a > 15 + 9 a > 24

[tex] \frac{ - 9 + a}{15} > 1 \\ \\ - 9 + a > 1 \times 15 \\ - 9 + a > 15 \\ a - 9 + 9 > 15 + 9 \\ a > 24[/tex]

Please show work! Factor sin^2Θ + sin^2Θ cos^2Θ

Answers

Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ

How to simplify Trigonometric Functions?

We want to simplify;

sin²θ + sin²θ cos²θ

Let us factorize out sin²θ to get;

sin²θ(1 + cos²θ)

Now, we know that cos²θ = 1 - sin²θ

Thus;

sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)

⇒ sin²θ(2 - sin²θ)

⇒ 2sin²θ - sin⁴θ

Read more about Trigonometric functions at; https://brainly.com/question/6904750

#SPJ1

Which of these can help you visualize data? Select all that apply.

bank statement
circle graph
spreadsheet
table
bar graph

Answers

Answer:

circle graph and bar graph

Step-by-step explanation:

they visualize because they are not simply just words, they make colorful graphs

If f(x) = 6x³ + 5x, g(x) = 3x² +5, and h(x) = 9x² - 8, What is the degree of f(g(h(x)))?

a)2
b)3
c)7
d) 12

Answers

f(x)=6x³+5xg(x)=3x²+5h(x)=9x²-8

Degree of f(x)=3

Degree of g(x)=2

Degree of h(x)=2

Degree of f(g(h(x)))

3(2)(2)12

Option D

Answer:

d) 12

Step-by-step explanation:

Given functions:

[tex]f(x)=6x^3+5x[/tex]

[tex]g(x)=3x^2+5[/tex]

[tex]h(x)=9x^2-8[/tex]

As we are only interested in the degrees of the function, we can eliminate the coefficients of each variable and the constants:

[tex]f(x)=x^3+x[/tex][tex]g(x)=x^2[/tex][tex]h(x)=x^2[/tex]

Therefore:

[tex]\begin{aligned}g[h(x)]& =(x^2)^2\\& =x^4\end{aligned}[/tex]

[tex]\begin{aligned}f[g[h(x)]] & = (x^4)^3+x^4\\& = x^{12}+x^4\end{aligned}[/tex]

Therefore, the degree of f[g[h(x)]] is 12

How many different sequences of 3 playing cards (from a single 52-card deck) exist?
22,100
140,608
132,600
24,804

Answers

There 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.

What is Permutations?

A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

Here, total number of cards = 52

         Number of Withdrawn cards = 3

Possibilities of different sequences of 3 playing cards = 52 X 51 X 50

                                                                                          = 132600

Thus, there 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.

Learn more about Permutations from:

https://brainly.com/question/1216161

#SPJ1

Answer:

132,600

Step-by-step explanation:

To determine the number of different sequences of 3 playing cards from a 52-card deck, we can use the formula for permutations, which is given by:

P(n, k) = n! / (n-k)!

Where n is the total number of items (in this case, the number of cards in the deck) and k is the number of items chosen (in this case, 3 cards).

Plugging in the values:

n = 52 (total number of cards in the deck)

k = 3 (number of cards chosen)

P(52, 3) = 52! / (52-3)!

Calculating the factorial terms:

52! = 52 x 51 x 50 x ... x 3 x 2 x 1

(52-3)! = 49! = 49 x 48 x ... x 3 x 2 x 1

Simplifying the equation:

P(52, 3) = 52 x 51 x 50

P(52, 3) = 132,600

Therefore, there are 132,600 different sequences of 3 playing cards that can be formed from a single 52-card deck.

find the value of x and y from the following​

Answers

Step-by-step explanation:

due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.

in other words it is the supplementary angle to 150° at B.

that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).

so,

x = 180 - 150 = 30°

now, for the same principle,

x + y = 70

y = 70 - x = 70 - 30 = 40°


if the observed value is 69.4 and the predicted value is 70.4, what is the residual value? round your answer to the nearest hundredth.

Answers

The residual value will be equal to -1.

What is residual value?

A residual is a difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is above the line, negative when it is below the line, and zero when the observed y-value equals the predicted y-value.

Take, for instance, we have the following data entry:

Observed value = 69.4

Predicted value = 70.4

The residual (r) would be:

Residual value = 69.4 - 70.4 = -1

Therefore the residual value will be -1

Read more about residuals at:

brainly.com/question/7467603

#SPJ1

Seventy three percent of a town’s population own cars. What is the population of the town, if the number of cars owned is 112,420?

Answers

Fractions are written as a ratio of two integers. The total number of cars owned is 154000 cars

Fractions and percentages

Fractions are written as a ratio of two integers.

Given the following

Total cars = 112,420 cars

If Seventy three percent of a town’s population own cars, then;

73% of x = 112,420

where x is the total population

0.73x = 112,420

x = 112,420/0.73

x = 154000

Hence the total number of cars owned is 154000 cars

Learn more on percentages here: https://brainly.com/question/24304697

#SPJ1

A candy is in the shape of a sphere. The candy has a radius of 1.5 centimeters. Which of the following is closest to the volume of the candy? (Use 3.14 for π.)

Answers

Answer:

The answer would be 14 cm

[tex]V = \frac{4pi(1.5)^3}{3}[/tex]

[tex]4.5pi = 14.3[/tex]

(pi = π)

Your welcome :)

Answer:

14 cm

Step-by-step explanation:

THE SIMPLE ANSWER

Please help!! Need help asap.​

Answers

B. i believe i think ive had this b4 and it was b

please solve the question in the picture​

Answers

Answer with a step-by-step explanation:

Let us write answers to the questions using the given Venn diagram

1) 4 students

2) 3 students

3) 3 students

4) Face book ( 7 students are using Face book while only 6 students are using the other social media platform)

- More explanation is attached to the picture -

URGENT

Find the area of the triangle. Round your answer to the nearest tenth.

A triangle A B C with side A C labeled 15 units and side B C as 7 units. The measure of angle A C B is 96 degrees.

The area of the triangle is about (blank) square units.

Answers

Answer:

hope you can understand

13. What is the surface area of the rectangular solid below using its net?
90 square units
108 square units
72 square units
84 square units

Answers

Answer:

108 square units

Step-by-step explanation:

3 x 4 = 12

3 x 4 = 12

6 x 3 = 18

6 x 3 = 18

6 x 4 = 24

6 x 4 = 24

24(2) + 18(2) + 12(2) = 108 square units

Therefore, the surface area of the rectangular solid below using its net is 108 square units

Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

[tex]x =\sqrt 2[/tex]

Step-by-step explanation:

Given is a 30° - 60° - 90° triangle.

side x lie opposite to 30° angle

[tex]\implies x = \frac{1}{2}\times \sqrt 8[/tex]

[tex]\implies x = \frac{1}{2}\times 2\sqrt 2[/tex]

[tex]\implies x =\sqrt 2[/tex]

Using synthetic division, find (2x4 − 3x3 − 20x − 21) ÷ (x − 3).

A.
2x3 + 3x2 + 9x + 7
B.
2x4 + 3x3 + 9x2 + 7x
C.
2x4 + 3x2 − 11x − 54
D.
2x3 + 3x2 − 11x − 54

Answers

The correct option for the synthetic division is A. 2x³ + 3x² + 9x + 7

How to solve the division?

Write down the first coefficient without changes and multiply the entry in the left part of the table by the last entry in the result.

Then, add the obtained result to the next coefficient of the dividend, and write the sum. All the coefficients are the coefficients of the quotient, and the last coefficient is the remainder.

Learn more about division on:

https://brainly.com/question/25289437

#SPJ1

find the area of the shaded part.

Answers

Answer:

Step-by-step explanation:

For part a :

The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :

C = 2×π×r = 2×π×8 = 16π

For part b :

The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :

A = π×r² = π×8² = 64π

For part c :

The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula   2r : so

D = 2r = 2×8 = 16

So the area of the square will equal :

A = 16² = 256

Hope this helped and brainliest and hearts please.

I'm on my road to genius rank

How many pairs of vertical angles are shown in the drawing?

Answers

Answer:

A.0

Step-by-step explanation:

Vertical angles are angles that are opposite of each other when two lines cross

Hope This Helped

The nearest hundred to 83,752,245 is?

Answers

Answer:

83,752,000

Very positive with this answer

Answer:

83,752,200

Step-by-step explanation:

please give me brainlist

You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New York. The airline has partitioned the flight so that you have a layover. The flight distance is partitioned in a ratio of 3:1. Determine the ordered pair that represents the location of the layover.

Answers

Using proportions, it is found that the ordered pair that represents the location of the layover is (3.75, 1.5).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The flight distance is partitioned in a ratio of 3:1, hence, for both the x and y coordinates, we have that:

L - Nv = 3/4(Ny - Nv)

For the x-coordinate, we have that:

[tex]x + 4 = \frac{3}{4}(5 + 4)[/tex]

[tex]x = \frac{27}{4} - \frac{16}{4}[/tex]

[tex]x = \frac{11}{4}[/tex]

x = 3.75

For the y-coordinate, we have that:

[tex]y = \frac{3}{4}(2)[/tex]

[tex]y = \frac{6}{4}[/tex]

y = 1.5.

The ordered pair that represents the location of the layover is (3.75, 1.5).

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Other Questions
What is the simplified value of the expression below?12.4 x (negative 6.3)78.121.971.9778.12 Are these numbers rational or irrational? -7 10 (square root of 10) 16 (square root of 16) 52% 1.235 1. Rational 2. Irrational How long is thawed breast milk good at room temperature. What might aunt georgiana mean by her advice, "don't love it so well, clark, or it may be taken from you"? a.) aunt georgiana wants clark to become a student in boston. b.) it means the extent aunt georgiana is willing to go to in manipulating clark. c.) it means the extent of aunt georgiana's sacrifice in giving up teaching music to move to nebraska with her husband. d.) aunt georgiana wants clark to stay on the prairie. Dominic's plane was delayed, so he connected to the free Wi-Fi and was about to log into Netflix to watch a movie. He thought about his friend who was coming to pet sit for his family while they were away. He thought he might get bored and want to watch a movie too while he was there and sent him a text. Fish populations in some areas of the ocean have been exhausted by overfishing. This has caused ecosystems to become imbalanced and species to become endangered. The diagram below breaks the ocean's total fish population into three categoriesspecies declining in population (overfished), species growing in population (moderately fished), and species with stable population (fully fished). The graph shows the percentage of the total fish population represented by each category for various years between 1974 to 2000. For example, in 1974, 51% of the population was fully fished, 39% was moderately fished, and 10% was overfished. What can be said about the trend in fish populations between 1974 and 2000? A. The percentage of the total fish population that is fully fished decreased by 18%. B. The percentage of the total fish population that is overfished increased by 18%. C. The percentage of the total fish population that is moderately fished increased by 18%. D. The percentage of the total fish population that is overfished decreased by 18%. Reset Submit Which cross-sectional shapes do you find the most surprising? Explain why. what are the advantage and disadvantage of specialization What is the mass of 15.0 ml of a liquid that has a density of 0.694 g/cm? Katherine is landscaping her home with juniper trees and pansies. She wants to arrange 15 pansies around each of 8 trees. Each tree costs $20.75 and a six-pack of pansies costs $2.50. Explain how to write an expression to find Katherines final cost. If someone is particularly pale, what would you call them?. If you know that the period of a pendulum is 1.87 seconds, what is the length of that pendulum? (assume that we are on earth and that gravity is 9.81 meters/second. ) a. 0.87 centimeters b. 2.1 meters c. 1.6 meters d. 0.87 meters e. 8.3 meters why is planning is important before choosing profession The square root of a negative number, such as StartRoot negative 144 EndRoot, is undefined. Explain why the square root of x, StartRoot negative x EndRoot, is not necessarily undefined and what this means about the domain and range of f(x) = StartRoot negative x EndRoot. In an experiment, the molar mass of the compound was determined to be 118.084 g/mol. What is the molecular formula of the compound? change 35:14 to a decimal number A quadrilateral has rotational symmetry of order 2 and no line of symmetry. What is the name of this quadrilateral? a. square b. rectangle c. parallelogram d. rhombus Pretty lady cosmetic products has an average production process time of 40 days. Finished goods are kept on hand for an average of 15 days before they are sold. Accounts receivable are outstanding an average of 35 days, and the firm receives 40 days of credit on its purchases from suppliers. Assume sales of $1,200,000 and cost of goods sold of $900,000. Determine the average investment in accounts receivable, inventories, and accounts payable. What would be the net financing need considering only these three accounts What is the authors claim in this passage? We call it ________________ when the nucleus divides into two identical _____________________.