Kamila wants a puppy. She and her family want to estimate the mean lifespan, in years, of all dog breeds registered with the American Kennel Association. Kamila selects a random sample of 8 registered dog breeds and looks up their estimated lifespan on the internet. The results are shown. 13 11 12 14 12 10 11 12 Part A What is the mean for Kamila’s sample? Round your answer to the nearest tenth. The mean lifespan for dogs from Kamila’s sample is years.

Answer:

Pretty sure its 7 and 8

Step-by-step explanation:

test it out

Answer:

7<sqaure root of 56<8

Step-by-step explanation:

khan

Answer:

7 mm

Step-by-step explanation:

735pi=1/3*5*pi*r^2

735pi/1/3pi

147=5*r^2

49=r

If you have any questions please comment them!

Answer:

3 ; 5 ; 6 ; 40 ; 150 ; 15; 7.5 ; yes

Step-by-step explanation:

Given the questions:

1. Tara walks a 2 mile route through her neighborhood for daily exercise. It takes her 30 minutes. At this rate, how far can Tara walk in 45 minutes?

Speed = distance / time ; 2 / 0.5 = 4 mph

45 minutes = 0.75 hr

Distance = speed * time = 4 * 0.75 = 3 miles

2. An infant daycare requires 1 teacher for every 4 children. How many teachers are required for 20 children?

1 teacher = 4 children

x = 20 children

x = 20/4 = 5

5 teachers

3. To make purple frosting, you start with white frosting. Then you add 2 drops of red food coloring and 3 drops of blue food coloring. If 4 red drops come out with the first squeeze, how many blue drops should you add?

2 drops of red = 3 drops of blue

4 drops of red = x

x = 12 / 2 = 6 drops of blue

4. Arlen delivers 28 newspapers each morning. The route takes him 40 minutes. If his route increases to 35 newspapers, how long will it take him?

40 minutes

6. On a map, 1 inch represents 50 miles. You measure the distance on the map between two towns as 3 inches How many miles apart are the two towns?

1 inch = 50 miles

3 inch = d

d = 50 * 3 = 150 miles

6. Kelsey earns $5 walking her neighbors' dogs twice a week. At this rate, how much should Kelsey cam if she walks the dogs 6 days each week?

Twice a week = $5

6 times a week = (6/2) * 5 = $15

7. Jeff drove the first 200 miles of a trip in 3 hours. At this rate, how long will the 500 mile trip take, with no stops?

Rate = distance / time = 200 / 3 = 66.667mph

time = 500 /66.667 = 7.5 hours

8. Lisa types 6 pages in 36 minutes. Frank types 5 pages in 30 minutes. Do they type at the same rate?

Lisa's rate :

36 /6 = 6 minutes per page

Frank :

30 /5 = 6 minutes per page

Answer:

Event 4, Event 1, Event 3, Event 2

Really sorry if it's wrong!

Have a good day!

Answer:

28

Step-by-step explanation:

6+8+6+8

6+8=14x2=28

Answer:

28

Step-by-step explanation:

P = 2(l+ w)

2(6+ 8) =

2(14)=

28

Hope this helps.

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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The probability of landing on the red shaded circle is 6/18

Probability simply measures the chances at which an event could occur in a sample or population.

Mathematically, Probability is calculated thus:

Here ,

P(red circle ) = 6/18

Therefore, the probability is 6/18

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Answer: C=2πr

r Radius

Answer:

9(4w7l) where w is width and l is length

Answer:

B

Step-by-step explanation:

Answer:

1/216

Step-by-step explanation:

(1/6)^3 is equal to 1/6 x 1/6 x 1/6 which is equal to 1x1x1/6x6x6.

You can simplify that, 1x1x1=1 and 6x6=36 and 36x6 is 216.

Therefore, the answer is 1/216.

\(\huge\text{Hey there!}\)

\(\mathsf{(\dfrac{1}{6})^3}\)

\(\mathsf{= \dfrac{1}{6}\times\dfrac{1}{6}\times\dfrac{1}{6}}\)

\(\mathsf{= \dfrac{1\times1\times1}{6\times6\times6}}\)

\(\mathsf{= \dfrac{1\times1}{36\times6}}\)

\(\mathsf{= \dfrac{1}{216}}\)

\(\huge\text{Therefore your answer should be:}\)

\(\huge\boxed{\mathsf{\dfrac{1}{216}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

A fraction of the students who have brown hair is equal to 1/7.

You should shade only one (1) section on the pie chart to show the number of students with brown hair.

In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.

Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;

Number of brown hair = 1 brown hair.

Number of blonde hair = 4 blonde hair.

Number of black hair = 2 black hair.

Therefore, the total number of hairs is equal to 7 hairs.

For the fraction of students with brown hair, we have;

Fraction = 1/7.

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Two triangles are congruent if exactly the same three sides and three identical angles.

But you don't need to know all 3 sides and all 3 angles... usually, 3 out of 6 is enough.

There are five ways to test whether two triangles are congruent:

SSS, SAS, ASA, AAS, HL.

1. SSS (Side, Side, Side)

SSS stands for "Side, Side, Side" and means two triangles with all three sides the same.

2. SAS (Side, Angle, Side)

SAS stands for "sides, angles, sides", which means that there are two triangles that have two sides and are known to have equal included angles.

3. ASA (Angle, Side, Angle)

ASA stands for "Angle, Side, Angle" and means that there are two triangles whose two angles and included sides are known to be equal.

4. AAS (angle, angle, side)

AAS stands for "Angle, Angle, Side", which means that there are two triangles, and you know that the two angles and the sides that are not included are equal.

5. HL (hypotenuse, leg)

HL stands for "Hypotenuse, Leg", derived from calling the longest side of a right-angled triangle "Hypotenuse" and his remaining two sides "Legs".

This means that there are two right triangles with the same length as their hypotenuses.

It is the same length as one of the other two legs.

Since the triangle can be rotated, it doesn't matter which leg.

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Answer:

5,530.49\(inches^{2}\)

Step-by-step explanation:

4.1x4.1=16.81

16.81x329

Answer:

\(4+3n\)

Step-by-step explanation:

\(4+8n-5n\)

Solve \(8n-5n=3n\)

\(4+3n\)

The equation of the line parallel to y = 4x - 2 and passes through (1, 8) is

y = 4x + 4

The equation of a line can be represented as follows:

y = mx + b

where

Therefore, the equation of a line is parallel to y = 4x - 2 and passes through (1, 8)

Parallel lines have the same slope.

Therefore,

y = 4x + b

let's find y-intercept using (1, 8)

8 = 4(1) + b

b = 8 - 4

b = 4

Therefore,

the equation of the line is y = 4x + 4

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It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

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9514 1404 393

Answer:

  28.81 m

Step-by-step explanation:

The tangent relation can help find the height of the building above the observer's eye.

  Tan = Opposite/Adjacent

  Opposite = Adjacent·Tan

  above eye height = (47 m)(tan 30°) ≈ 27.14 m

Adding this to the eye height gives the height of the building above the ground where the observer is standing.

  27.14 m + 1.67 m = 28.81 m

The height of the building to the nearest centimeter is 28.81 meters.

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

The answer is A.

Step-by-step explanation:

Order the minutes for each week.

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

The answer of the given question based on the Critical value is , , the critical value to for the confidence level c = 0.99 and sample size n = 22 is 2.819.

What is Critical value?

In statistics,  critical value is  value that is used to determine whether to reject  null hypothesis in hypothesis test. It is based on chosen level of significance, which is the maximum probability of making a Type I error (rejecting  true null hypothesis). The critical value is determined by sampling distribution of the test statistic, which is often a t-statistic or z-statistic, depending on the test and the characteristics of the population being studied.

To find the critical value t for a 99% confidence level and a sample size of 22, we need to use a t-distribution table or a calculator.

Using a t-distribution table with 21 degrees of freedom (n-1), we find that  critical value for a 99% confidence level is approximately 2.819.

Therefore, critical value for confidence level c = 0.99 and sample size n = 22 is 2.819 (rounded to nearest thousandth).

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Answer:

\(5^x = 25\)

\(\log_525 = x\)

Step-by-step explanation:

Given

Convert from exponential to logarithm

(a) to (d)

Required

Which of the options is correct

Given that:

\(a^b = c\) --- Exponential

The logarithm form is:

\(b = \log_ac\)

From (a) to (d), only option (c) is correct.

Because it follows the above pattern

i.e.

\(5^x = 25\) \(\to\)\(\to\)  \(a^b = c\)

\(a = 5\)   \(b = x\)   \(c = 25\)

\(b = \log_ac\) becomes

\(x = \log_525\)

or

\(\log_525 = x\)

Explanation:

Divide both sides of 5y ≥ 84 by 5 to get y ≥ 16.8

The set of prime numbers is {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, ...}

We see that 17 is the smallest prime such that it makes y ≥ 16.8 a true statement. In other words, 17 ≥ 16.8 is true.

Answer:

Step-by-step explanation:

Answer:

y= -4

Step-by-step explanation:

To find the value of y when x = 6, we can substitute x = 6 into the equation and solve for y:

4(6) + y = 20

24 + y = 20

y = 20 - 24

y = -4

Therefore, when x = 6, y is equal to -4.

Answer:

D

Step-by-step explanation:

0.05 is equivalent to 5%

Hope that helps!

Answer:

x=(y+2b)/3m

Step-by-step explanation:

y+2b=3mx

(y+2b)/3m=x

Step-by-step explanation:

Pick any point on the graph below for a solution: