Sample and population standard deviationyou might need alculatorYou have found the following ages (in years) of 5 gorillas. Thosegorillas were randomly selected from the 29 gorilas at your local20058, 4, 14, 16, 8Based on your sample, what is the average age of the gorillas?What is the standard deviation Round your answers to thenearest tenth2010

Answer:

C

Step-by-step explanation:

A. 2*6 = 12 but 24p*2 doesn't equal 24p

B. 3*9 doesn't equal 12, and 3*21p doesn't equal 24p

C. 4*3 equals 12 and4*6p=24p

D. 6*2=12, but 6*3p doesn't equal 24p

I hope this helps!!!

Answer:

b. 15

Step-by-step explanation:

Given that:

There are 4 independent variables, then the subset regression total is 2⁴ = 16 attainable regression model.

However, out of these 16 regression models, 1 Model contains no predictors which only intercept 3 Model with \((X_1), (X_2), (X_3)\), 3 Model with\((X_1,X_2), (X_1,X_3), (X_2,X_3)\). and 1 Model which comprises all the independent variables.

Therefore, when applying best subsets regression with a model that possesses four (4) independent variables, the number of different combinations of regression models that can be considered is 15.

Answer:

B) False.

Step-by-step explanation:

Really

Answer:

False

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

50 multiplied by .26

The answer is 100 mL.

hope it help

The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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Answer:

(3.5, 1)

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

-15 is not equal to 10

Answer:

b+23≥-276

b≥-276-23

b≥-299

Step-by-step explanation:

hope this is helpful

The function g(x) = x² + 4x has a: A. minimum.

The minimum value occur at x = -2.

The function's minimum value is -4.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function g(x) = x² + 4x, we have:

a = 1, b = 4, and c = 0

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(4)/2(1)

Axis of symmetry, Xmax = -2

Next, we would determine vertex as follows;

g(x) = x² + 4x

g(-2) = -(-2)² + 4(-2)

g(-2) = -4.

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Answer:

10

Step-by-step explanation:

So there are 5 pieces of rope, if you cut them all in half then that would double the number.

Answer:

10

Step-by-step explanation:

5 divided by 1/2 is 10

Answer:

x ≈ 30,37

y ≈ 29,00

Step-by-step explanation:

Use trigonometry:

\( \sin(38°) = \frac{9}{x} \)

Now, use the property of the proportion to find x:

\(x = \frac{9}{ \sin(38°) } ≈30.37\)

Do the same thing to find y:

\( \tan(38°) = \frac{9}{y} \)

\(y = \frac{9}{ \tan(38°) } ≈29.00\)

Answer:

X is greater than 4.6

Step-by-step explanation:

Answer:

1/14

Step-by-step explanation:

Answer:

1 day

Step-by-step explanation:

So first you know Emma planted for 4 1/2 days and her brother 2/9 times as much so I think we should do this:

4  1/2 convert to improper fraction = 9/2

             -Then-

multiply 9/2 x 2/9 = 18/18 = 1 day

Hope this helped :D

Answer:

1 day

Step-by-step explanation:

took unit test

The y intercept of the equation is the 70.8.

The answer would be

B. The winning men's high jump helght of the first Olympics was about 70.8 inches.

Answer:

the answer is c

Step-by-step explanation:

because x is the number of years since the first olympics in 1896 you would multiply x=225 for 2021 by 0.23in and get 51.75in which is how much the winning jump went up over the years. so it is predicted to rise by 0.23in every competition.

Answer:

x≥3 but without the line under the symbol

Step-by-step explanation:

Answer: -2.55

Step-by-step explanation:

Answer:

-2.55

Step-by-step explanation:

-1.25 + 2 1/5 + (-3.5) =

= -1.25 + 2.2 - 3.5

= 0.95 - 3.5

= -2.55

Answer:

We conclude that the percentage of blue candies is equal to 29​%.

Step-by-step explanation:

We are given that in a random selection of 100 colored​ candies, 28​% of them are blue. The candy company claims that the percentage of blue candies is equal to 29​%.

Let p = population percentage of blue candies

So, Null Hypothesis, \(H_0\) : p = 29%     {means that the percentage of blue candies is equal to 29​%}

Alternate Hypothesis, \(H_A\) : p \(\neq\) 29%     {means that the percentage of blue candies is different from 29​%}

The test statistics that will be used here is One-sample z-test for proportions;

                         T.S.  =  \(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }\)  ~ N(0,1)

where, \(\hat p\) = sample proportion of blue coloured candies = 28%

           n = sample of colored​ candies = 100

So, the test statistics =  \(\frac{0.28-0.29}{\sqrt{\frac{0.29(1-0.29)}{100} } }\)

                                    =  -0.22

The value of the z-test statistics is -0.22.

Also, the P-value of the test statistics is given by;

               P-value = P(Z < -0.22) = 1 - P(Z \(\leq\) 0.22)

                            = 1 - 0.5871 = 0.4129

Now, at a 0.10 level of significance, the z table gives a critical value of -1.645 and 1.645 for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of z, so we insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the percentage of blue candies is equal to 29​%.

Answer:

78

Step-by-step explanation:

a + 8b = 6 + 8 x 9 = 6 + 72 = 78

Answer: 78

Step-by-step explanation:

value of a=6

value of b=9

a+8b= 6+8*9

as the 8 will be multiplied by 9

6+8*9= 6+72

6+72 = 78

The slope and the y-intercept of the line y = 4x + 5 are given as follows:

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

The function for this problem is given as follows:

y = 4x + 5.

Hence the slope and the intercept are given as follows:

The problem asks for the slope and the intercept of y = 4x + 5.

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The growth constant is 1.0986 and the trout population will increase to 14600 after 2.1 years. The result is obtained by using the logistic equation.

The increase of population can be found by using the logistic equation. It is

\(P(t) = \frac{K}{1 + Ae^{-kt} }\)

Where

Sunset Lake is stocked with the rainbow trout. We have

Find the growth constant k and time t when P(t) = 14600!

A = (K - P₀)/P₀

A = (28000 - 2800)/2800

A = 25200/2800

A = 9

After 1 year, we have 7000 rainbow trout. The growth constant is

\(7000 = \frac{28000}{1 + 9e^{-k(1)} }\)

\(1 + 9e^{-k} = 4\)

\(9e^{-k} = 3\)

\(e^{-k} = \frac{1}{3}\)

k = - ln (1/3)

k = 1.0986

Use k value to find the time when the population will increase to 14600!

\(14600 = \frac{28000}{1 + 9e^{-1.0986t} }\)

\(1.9178 = 1 + 9e^{-1.0986t}\)

\(0.9178 = 9e^{-1.0986t}\)

\(\frac{0.9178 }{9} = e^{-1.0986t}\)

\(t = \frac{ln \: 0.10198}{-1.0986}\)

t = 2.078

t ≈ 2.1 years

It is in another 1.1 years after t = 1.

Hence, the growth constant k is 1.0986 the population will increase to 14600 when t is 2.1 years.

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The center of mass is (0, −77/10) or approximately (0, −7.7). Thus, the center of mass of a thin plate of constant density delta covering the region bounded by the parabola y = 2x^2 and the line y = 18 is (0, −77/10) or approximately (0, −7.7).

The center of mass is the point on an object through which its weight is assumed to act. In case of a thin plate of constant density delta covering the region bounded by the parabola y = 2x^2 and the line y = 18, the following are the steps to find the center of mass:Step 1: To find the limits of integration, we need to first calculate the points of intersection of the two curves. y = 2x^2 and y = 18Setting the equations equal to one another gives 2x^2 = 18, which simplifies to x^2 = 9. Therefore, x = ±3.

To find the limits of integration for x, we will integrate from −3 to 3 because the region is symmetric. Step 2: Using the formula for finding the center of mass, we need to determine the area element dA and mass element dm for a thin plate of constant density delta.Mass = (Density) × (Volume) = (Density) × (Area) × (Thickness)Let's say the thickness of the thin plate is 1 unit. Since the density is constant,

we have:Mass = (Density) × (Area)Step 3: The coordinates of the center of mass are then given by x = (M_y)/M and y = (M_x)/M, where M is the mass of the object and M_y and M_x are the moments of mass with respect to the y- and x-axes, respectively.In order to find the center of mass, we will first find the moments of mass about the x- and y-axes and the total mass of the object:M_y = ∫∫x dA = ∫∫x delta dy dxwhere y ranges from 2x^2 to 18 and x ranges from −3 to 3.M_y = ∫−3^3 ∫2x^2^18 x delta dy dx = delta ∫−3^3 x(18 − 2x^2) dxM_y = delta [(18/2) ∫−3^3 x dx − 2/3 ∫−3^3 x^3 dx]M_y = delta (0) = 0because the region is symmetric about the y-axis and the moments of mass about the y-axis will balance out, making the y-coordinate of the center of mass zero.

M_x = ∫∫y dA = ∫∫y delta dy dxwhere y ranges from 2x^2 to 18 and x ranges from −3 to 3.M_x = ∫−3^3 ∫2x^2^18 y delta dy dx = delta ∫−3^3 x^2(18 − 2x^2) dxM_x = delta (2/5) ∫−3^3 (18 − 2x^2) x^2 dxM_x = delta (2/5) [18 ∫−3^3 x^2 dx − 2 ∫−3^3 x^4 dx]M_x = delta (2/5) [18(36) − 2(324)]M_x = −7776 delta / 5Now, we can determine the x-coordinate and y-coordinate of the center of mass:x = 0M_y/M = 0/M = 0y = (−7776 delta / 5) / (delta (2/5) 18 (36)M_x/M = −7776 delta / (delta (2/5) 18 (36)) = −77/10

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9514 1404 393

Answer:

  37.5 square units

Step-by-step explanation:

When the points are plotted on a graph, you can see that the sides of the trapezoid are the hypotenuse of a 3-4-5 right triangle (or multiple thereof). The grid lines make up the legs of the triangle, and the edge of the figure makes up the hypotenuse. Side BC is clearly twice as long as side AD.

The area formula for a trapezoid applies:

  A = 1/2(b1 +b2)h

  A = 1/2(5 +10)(5) = 1/2(75) = 37.5 . . . . square units area

I'd say 13, hope this helps

Step-by-step explanation:

Answer:

See below (answers are in bold)

Step-by-step explanation:

Left rectangle:

P=2L+2W

P=2(n+0.6)+2(n)

P=2n+1.2+2n

P=4n+1.2

Right rectangle:

P=2L+2W

P=2(2n)+2(n+0.1)

P=4n+2n+0.2

P=6n+0.2

Answer:

Mean - 3.3793103448276

Median - 3

Step-by-step explanation:

Define:

Mean ⇒ Average

Median ⇒ Middle Number

Solve:

Mean ( Adding all number then divide by total number in data set)

1 + 1 + 2+2+2+2+3+3+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+5+5+5+5+5=94

94/29 = 3.3793103448276

Mean - 3.3793103448276

Median ( Find Middle Number)

1,1,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,5,5,5,5,5

Kavinsky

Thus, after approximately 66 months, Darren will have saved enough money to recover his $20,000 down payment through his monthly savings. The answer is (B) 66 months.

The term "principal" has multiple meanings, depending on the context in which it is used. Here are a few possible definitions:

Principal as a noun refers to the person who holds the highest position or authority within an organization, such as a school principal or a company principal.

Principal can also refer to the original amount of money borrowed or invested, excluding any interest or other charges that may accrue over time.

In the context of finance or investments, principal can refer to the sum of money that is invested or borrowed, on which interest is calculated.

Principal can also be used as an adjective to describe something that is most important or essential, such as the principal reason for a decision or the principal goal of a project.

given by the question.

To determine the monthly mortgage payment, we first need to calculate the principal amount that Darren will be borrowing. He will be borrowing the purchase price of the house ($125,000) minus the down payment he plans to make ($20,000), which is $105,000.

We can then use the formula for calculating the monthly mortgage payment:

M = P [  I \((1 + i)^{n}\)] / [ \((1+i)^{n-1}\)]

where:

M is the monthly mortgage payment

P is the principal amount

I is the monthly interest rate (which is the annual interest rate divided by 12)

n is the total number of payments (which is the number of years multiplied by 12)

In this case, we have:

P = $105,000

I = 5.5% / 12 = 0.00458

n = 30 years x 12 = 360

Plugging in these values, we get:

M = $105,000 [ 0.00458(1 + 360] / [ (1 + 0.00458) ^360 – 1]

M ≈ $596.55

Therefore, Darren's monthly mortgage payment will be approximately $596.55.

The difference between Darren's current rent payment and his mortgage payment will be:

$900 - $596.55 = $303.45

So, Darren plans to save $303.45 per month.

To determine how long it will take for Darren to recover his down payment through his monthly savings, we can set up an equation:

$20,000 / $303.45 per month = 65.8 months

Rounding up to the nearest whole number, we get 66 months.

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Answer: E

Step-by-step explanation:

The recursive formula for this problem is given as follows:

\(P_n = 1.05 \times P_{n - 1}\)

The explicit formula for this problem is given as follows:

\(P_n = 150(1.05)^n\)

The number of tickets in 2026 is given as follows:

297 tickets.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n}\)

In which \(a_1\) is the first term.

The parameter values for this problem are given as follows:

\(a_1 = 150, q = 1.05\)

Hence the function is given as follows:

\(P_n = 150(1.05)^n\)

2026 is 14 years after 2012, hence the number of tickets is given as follows:

\(P_{14} = 150(1.05)^{14} = 297\)

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