The numbers: 76.4 72.1 78.5 46.3 63.2 59.6 55.4 62.1 71.5 64.5 52.9 64.8 72.8 54.0 55.8 62.7 68.2 69.3 63.4 88.8 78.4 57.9 52.7 75.3 72.9 38.6 65.2 75.3 84.2 76.3 62.8 52.3 69.1 72.0 68.0 47.9 33.5 78.2 48.9 59.9 89.2 59.0 58.2 75.0 63.3 52.8 59.1 76.9 78.4 62.3 75.8 59.5 78.0 84.2 76.9 42.7 65.4 87.6 79.0 65.0

Pt1: A well respected wild life researcher recently conducted a study of wild Jackalopes. He trapped and weighed 60 adult wild Jackalopes in an attempt to gauge their health. As a population, if a species loses weight it could be a signal that the health of the population is in danger. Research conducted 10 years prior found that the population mean was 69.9 pounds. Test the claim that population mean of wild Jackalopes is equal to 69.9 lbs. Use a significance level of .01.

Pt 2: You have recently been notified by the US Fish and Wildlife Service that grants are available to help reestablish wild populations of Jackalopes if their health is in danger. These grants could total several millions of dollars for research. Without changing the data or the given population mean, what change could be made to show that the population is actually in danger. Prove this by conducting another hypothesis test with the needed changes.

Claim:
Null Hypothesis: _________________________
Alternative Hypothesis: ___________________________
Test Statistic: (state the statistic and find it’s value):
Find the pvalue for the given test statistic: ________________

At the 0.01 significance level would you reject the null or fail to reject the null? Justify your answer.

What final conclusion could you draw from your research? What will your report to the US Fish and Wildlife Service say?

Answer:

the answer

Step-by-step explanation:

plein-air painting

The requreid, the joint probability function f(x, y) is:

f(0,0) = 3/14

f(0,1) = 9/28

f(0,2) = 3/28

f(1,0) = 9/28

f(1,1) = 9/28

f(2,0) = 3/14

f(2,1) = 3/14

f(3,0) = 1/14

To evaluate the joint probability function f(x, y), we need to determine the probability of selecting x black balls and y blue balls out of a sample of 4 balls. We can do this using the hypergeometric probability distribution formula:

f(x,y) = P(X = x, Y = y) = (C(3, x) * C(2, y) * C(3, 4-x-y)) / C(8, 4)

where C(n, k) represents the number of combinations of k items chosen from a set of n items.

Plugging in the values, we get:

f(0,0) = (C(3,0) * C(2,0) * C(3,4-0-0)) / C(8,4) = 3/14

f(0,1) = (C(3,0) * C(2,1) * C(3,4-0-1)) / C(8,4) = 9/28

f(0,2) = (C(3,0) * C(2,2) * C(3,4-0-2)) / C(8,4) = 3/28

f(1,0) = (C(3,1) * C(2,0) * C(3,4-1-0)) / C(8,4) = 9/28

f(1,1) = (C(3,1) * C(2,1) * C(3,4-1-1)) / C(8,4) = 9/28

f(2,0) = (C(3,2) * C(2,0) * C(3,4-2-0)) / C(8,4) = 3/14

f(2,1) = (C(3,2) * C(2,1) * C(3,4-2-1)) / C(8,4) = 3/14

f(3,0) = (C(3,3) * C(2,0) * C(3,4-3-0)) / C(8,4) = 1/14

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The trigonometry identity value of sin(A) is -2/5

From the question, we have the following parameters that can be used in our computation:

The value of sin(A) has already been given

However, because the angle A is in Quadrant IV, the value of the trigonometry identity would be negative (sine are negative in the 4th quadrants)

So, we have

sin(A) = -2/5

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The value of R² (coefficient of determination) is 0.0214

We know that the formula for the coefficient of determination is,

R² = 1 - (SSR / SST)

where, R² is  the coefficient of determination

SST is the total sum of squares

SSR is the sum of squares of regression

Here, the total sum of squares (SST) = 11654

and the sum of squares of regression (SSR) = 11405

Using above formula,

R² = 1 - (SSR / SST)

R² = 1 - (11405 / 11654 )

R² = 1 - 0.9786

R² = 0.0214

This is the required value.

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Find the complete question below.

Chase has to jump 2.67 feet to touch the rim.

The rim of the basketball hoop is 10 feet high, which is equal to 120 inches .

Chase's hand can reach 88 inches high.

To find out how many feet Chase has to jump to touch the rim, we need to subtract his reach from the height of the rim:

120 inches (height of rim) - 88 inches (Chase's reach) = 32 inches

So Chase has to jump 32 inches to touch the rim. To convert this to feet, we can divide by the number of inches in a foot:

32 inches ÷ 12 inches/foot = 2.67 feet

Therefore, Chase has to jump  2.67 feet to touch the rim.

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The value of the expression is -4

A function can simply be explained as an equation, law, rule or expression that tends to show the relationship between two distinct variables.

These variables are called the independent variables and dependent variables.

From the information given, we have the function as;

y= 2x +3

First, let's determine the function y(-5)

Substitute the values of x as -5 in the function;

y(-5) = 2(-5) + 3

expand the bracket

y(-5) = -10 + 3

Add the values

y(-5) = -7

Then, we get;

y(-5)+ 3

-7 + 3

-4

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The value of the variable k is 33

Algebraic expressions are simply described as the expressions that consist of variables, terms, coefficients, constants and factors.

These expressions also consist of certain mathematical operations, such as;

From the information given, we have that;

(1/3)k - 4=7

collect the like terns

1/3k = 7 + 4

Add the values

1/3k = 11

cross multiply the values, we have;

k = 11(3)

Multiply the values

k = 33

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Answer:  Yes, (-4, 24) is a solution to the given equation.

Step-by-step explanation:

24 = -6(-4)

24 = 24

Mandy's solution makes sense since it entails multiplying the total number of persons in those entire rows (142) by the number of people in each row (ten).

Similarly, multiplying the total number of people in the remaining seats (142) by the number of people in each row (2) yields the total number of people in the remaining seats. The total number of persons in the theater is calculated by adding these two components.

This is a viable use of multiplication's distributive property, in which we break down a multiplication issue into simpler products and then add them up. As a result, Mandy's approach is a viable method for determining the total number of people in the theater.

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Answer:

width = 9 in

Step-by-step explanation:

Area = A = length x width = w x l

w = A/l = 54 in²/6 in = 9 in

The volume of the cylinder that has a diameter of 7 yards and a height of 12 yards is: 147π cubic yard.

The volume of a cylinder can be determined by applying the volume formula which is given as:

Volume (V) = πr²h,

where "r" is the radius of the cylinder

"h" is the height of the cylinder

π is a constant

Given the following:

Diameter of cylinder = 7 yards, thus, radius (r) = 7/2 = 3.5 yards

Height (h) = 12 yards

Plug in the values:

Volume of the cylinder = π * 3.5² * 12 = 147π cubic yard.

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Answer:

-x³ + 4x²

Step-by-step explanation:

-x^2(x-4)

Distribute

-x³ + 4x²

So, the answer is -x³ + 4x²

Answer:

38.81 pounds

Step-by-step explanation:

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

Right rectangular prism

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

Volume of right rectangular prism

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

Volume of the container

In this case, you know that:

the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.

the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= 258.75 ft³

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= 38.8125 pounds≅ 38.81 pounds

Finally, the total weight of the contents is 38.81 pounds.

The volume of the figure that was created by the triangle being rotated, would be 94. 83 units ³

When a triangle is rotated about y = x, a right circular cone is created. The formula is:

= π r² h / 3

We need to find the height and radius. The coordinates for the right circular cone are:

(0,0) - (0,0)

(8,8) - (8,8)

(4,12) - (12,4)

Using this, we find that the radius is 4 units. The height can be found by using any point such as ( 12, 4).

= √ ( ( 12 - 8) ² + ( 4 - 8 ) ²)

= 5. 66 units

The volume would therefore be:

= π x 4² x 5. 66 / 3

= 94. 83 units ³

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The perimeter of the shape is 13π

The area of the shape is 48.125π square units

The perimeter of the shape is calculated as follows:

The perimeter of a semicircle = πr

The perimeter of shape = 2 * π * 2 + 2 * π * 4.5

The perimeter of shape = 13π

The area of the shape = area of the two semicircles of radius 2 + area of the two semicircles of radius 4.5 + area of the rectangle

Area of semicircle = πr²/2

The area of the shape = π * 2²/2 + π(4.5)²/2 + 4 * 9

The area of the shape = 48.125π square units

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Answer:

Step-by-step explanation:

211

welcome hun

Answer: hmm this question is based on 6-80 and if you calulate the sum and difference it is -74

The principal amount was £1260, and the annual interest rate is 5.5%.

Given that, Olivia gets £1606.50 and £1675.80 after 5 years and 6 years of investment in simple interest respectively.

SI = principal × rate × time / 100

So,

P + 5pr = £1606.50

P = £1606.50 - 5pr............(i)

P + 6pr = £1675.80

P = £1675.80 - 6pr.........(ii)

Therefore,

£1606.50 - 5pr = £1675.80 - 6pr

Pr = 69.3

Put the value of pr in eq(i)

P + 5(69.3) = 1606.50

P = 1606.5 - 346.5

P = 1260

Now,

(1260)r = 69.3

r = 0.055

The annual interest is 5.5%

Hence, the principal amount was £1260, and the annual interest rate is 5.5%.

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Answer:

Only Carla's

Step-by-step explanation:

I believe the answer is only Carla's because even though the left side is factored, there is still an 8 on the right side. To apply the zero product property rule, the equation needs to equal 0

Meanwhile Carla's works because then the equation would be x²=9 which we can easily take the square root of

Answer:  Only Carla

Step-by-step explanation:

Only Carla

Carla said:

(x+1)(x-1)=8          FOIL

x²-1=8

x²=9

x=±3

Jordan said:

He will use 0 property rule but the factored portion must =0   It equals 8, so you can't use that property.

Answer:

g(f(4)) = 106.

Step-by-step explanation:

To find f(g(4)), we first need to find

g(4):g(4) = 5(4)^2 - 4(4) + 1 = 80 - 16 + 1 = 65

Now that we know g(4) is 65, we can find

f(g(4)):f(g(4)) = f(65) = 2(65) - 3 = 127

Therefore,

f(g(4)) = 127.

To find g(f(4)), we first need to find f(4):f(4) = 2(4) - 3 = 5

Now that we know f(4) is 5, we can find g(f(4)):

g(f(4)) = g(5) = 5(5)^2 - 4(5) + 1 = 125 - 20 + 1 = 106

Therefore, g(f(4)) = 106.

The converse statement is of the conditional  “If p then q” is the one in option B.

if q then p.

For two given propositions p and q, a conditional statement is written as:

"if p, then q"

So, if the proposition p is true, also is the proposition q.

The converse statement just changes the order of the two propositions ( if the proposition q is true, also is the proposition p), then here start with q and end with p, so the converse statement is:

if q then p.

The correct option is B.

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The perimeter and the area of each composite figure are, respectively:

Case 1: p = 77.6 cm, A = 304 cm²

Case 2: p = 25.1 ft, A = 28 ft²

Case 3: p = 42 mi, A = 52.5 mi²

Case 4: p = 56.5 in, A = 179.424 in²

In this problem we need to determine the perimeter and the area of four composite figures, that is, figures formed by combining triangles and rectangles, whose area formulas are listed below:

Triangle

A = 0.5 · b · h

Rectangle

A = b · h

Where:

Now we find the perimeter and the area of each figure:

Case 1

p = 2 · (18.8 cm) + 2 · (20 cm)

p = 77.6 cm

A = (15.2 cm) · (20 cm)

A = 304 cm²

Case 2

p = 10 ft + 8.1 ft + 7 ft

p = 25.1 ft

A = 0.5 · (10 ft) · (5.6 ft)

A = 28 ft²

Case 3

p = 17.5 mi + 6 mi + 18.5 mi

p = 42 mi

A = 0.5 · (17.5 mi) · (6 mi)

A = 52.5 mi²

Case 4

p = 20 in + 13.9 in + 15 in + 7.6 in

p = 56.5 in

A = (7.6 in) · (13 in) + 0.5 · √[(13.9 in)² - (13 in)²] · (13 in) + 0.5 · √[(15 in)² - (13 in)²] · (13 in)

A = 98.8 in² + 31.982 in² + 48.642 in²

A = 179.424 in²

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Answer:

El volumen en cm cúbicos es 108 cm cúbicos (o a la tercera potencia). La fórmula utilizada para encontrar el volumen es largo por ancho por alto.

Answer:

The answer is 1/5

Step-by-step explanation:

5ft:25ft=5ft/25ft=1/5

Answer:

1/2

Step-by-step explanation:

The outlier in this data set is the sweatshirt priced at $18 since it is significantly higher than the rest of the prices.

The mean is affected more by outliers than the median.

In the provided data, the mean is higher than the median, which suggests that there may be an outlier pulling the average up. The outlier value of $18 is causing the mean to be higher.

If we remove the outlier value of $18, the mean price would be (6+12+11+15)/4 = $11, which is lower than the original mean of $12.40.

On the other hand, the median would remain the same since it is not affected by extreme values.

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