Assuming that the null hypothesis is true, the is the probability of observing a value of the test statistic that is at least as extreme as the value actually computed from thr sample data
a. Β
b. A
c. P-value
Type error

Cylinder, has the least surface area. We are to choose the shape that has the least surface area for the approximate volume desired.

The liquid measurement is the amount of liquid a vessel contains and its measurement in standard units. We also refer to it as the “capacity” or the “volume” of the vessel. Infant milk bottle with measurement markings in milliliter and juice bottle with 1 liter contents.

length × width × height

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. How you refer to the different dimensions does not change the calculation: you may, for example, use 'depth' instead of 'height'.

In general, the least area for the volume will be provided by a sphere, a "square" cylinder with height equal to diameter, and a cube, in order of increasing area. We are asked to find the area and volume of two rectangular prisms, a cylinder, and a square pyramid. Then, we are to identify the shape with the least surface area. Volume and area formulas will be used for the purpose.

Rectangular Prism

The relevant formulas are

 V = LWH

 A = 2(LW +H(L +W))

for length L, width W, and height H.

a) prism 1

The given dimensions are L = W = 8 in, H = 5 in. Then the volume and area are

 V = (8 in)(8 in)(5 in) = 320 in³

 A = 2((8 in)(8 in) +(5 in)(8 in +8 in)) = 2(64 in² +80 in²) = 288 in²

b) prism 2

The given dimensions are L = 10 in, W = 8 in, H = 4 in. Then the volume and area are ...

 V = (10 in)(8 in)(4 in) = 320 in³

 A = 2((10 in)(8 in) +(4 in)(10 in +8 in)) = 2(80 in² +72 in²) = 304 inch

Cylinder

The relevant formulas are ...

 V = πr²h

 A = 2πr(r +h)

for radius r and height h.

c) The given dimensions are r = 5 in, h = 4 in. Then the volume and area are ...

 V = π(5 in)²(4 in) = 100π in³ ≈ 314 in³

 A = 2π(5 in)(5 in +4 in) = 90π in² ≈ 283 in²

Square Pyramid

The relevant formulas are ...

 V = 1/3s²h

 A = s(s +2H)

for base side dimension s, vertical height h, and slant height H.

d) The given dimensions are s = 10 in, h = 10 in, H = 14 in. Then the volume and area are ...

 V = 1/3(10 in)²(10 in) = 1000/3 in³ ≈ 333 in³

 A = (10 in)(10 in + 2×14 in) = 380 in²

The proposed figures have volume and area (rounded to the nearest unit) as follows:

The proposed cylinder requires the least amount of sheet metal for its construction. It has the least surface area of all of the shape choices offered. For a volume of 320 in³, a cube would have a surface area of 280.7 in². A "square" cylinder would have an area of 260.0 in². A sphere would have an area of 226.2 in². The above areas are somewhat larger because the shapes depart from the ideal aspect ratio.

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Step-by-step explanation:

√(3 * 7 * 2 * 7 * 3 * 2 = √(2² * 3² * 7²) = 2 * 3 * 7 = 42.

√(13² * 5²) = 13 * 5 = 65.

Answer:

(2 x 3 x \(13x^6\)\(Y^{4\))

Step-by-step explanation:

Answer: ^3(2+)^4)

Step-by-step explanation: (5^=+6)+9(=)7+3^

i want a brainliest

Answer:

2

Step-by-step explanation:

a(x) = x^3 – 4x – 3

a(0) = 0 - 0 -3

a(0) = -3

a(x) = l –2x - 5|

a(0) = | 0 - 5 |

a(0) = 5

therefore a(0) = -3 + 5 = 2

Answer:

Y= -1/2X+9

Step-by-step explanation:

Answer:

Y= -1/2X+9

Step-by-step explanation:

A woman 5-feet tall casts an 8-foot shadow. at the same time of day, the shadow of a tree nearby is 120 feet long. in feet, 75 feet  tall is the tree.

Let the tree height = x

From the question, we have

5/8 = x/120

x = (5*120)/8

x = 75 feet

Tree height = 75 feet

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Answer:

There is no question but 85-20=65

Step-by-step explanation:

The cost price of the cup is PKR 800.

To find the cost price of the cup, we can use the given information that the profit is 35% of the cost price and the profit amount is PKR 280.

Let's denote the cost price of the cup as CP.

The profit is 35% of the cost price, which can be expressed as:

Profit = 35% of CP

We are also given that the profit amount is PKR 280:

Profit = PKR 280

Setting up the equation:

Profit = 35% of CP

PKR 280 = 0.35CP

To find the cost price, we can divide both sides of the equation by 0.35:

CP = PKR 280 / 0.35

Evaluating the expression:

CP = PKR 800

Therefore, the cost price of the cup is PKR 800.

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Answer:The width of the room is .

Step-by-step explanation:

Consider the provided information.

It is given that the whole room has an area 46 14/15 sq yd.

This can be written as:

yd.

Now consider the figure shown below:

From the figure we know that the length of the rectangular meeting room is  yd.

The area of rectangle is

Let width of the rectangle is w yard.

Hence, the width of the room is .

active attachment

Step-by-step explanation:

The width of the room is .

Step-by-step explanation:

Consider the provided information.

It is given that the whole room has an area 46 14/15 sq yd.

This can be written as:

yd.

Now consider the figure shown below:

From the figure we know that the length of the rectangular meeting room is  yd.

The area of rectangle is

Let width of the rectangle is w yard.

Hence, the width of the room is .

active attachment

The area of figure is 272.52 square units.

The given figure consist:

A parallelogram of,

length = 12

width   = 18

Since we know that,

Area of parallelogram  = length x width

                                      = 12 x 18

                                      = 216 square units

And it consist of a semicircle of,

radius = 12/2

          = 6

Since we know that,

Area of semicircle is = πr²/2

                                  = 3.14 x 6 x 6/2

                                  = 56.52 square units

Thus,

The area of figure is sum of both areas,

⇒ 216 + 56.52

Hence, area is

⇒ 272.52 square units

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Answer:

8 and yes

Step-by-step explanation:

c² - b² = a²

100 - 36 = a²

64 = a²

a = 8

the three sides form a sequence, 6, 8, 10, which is the pythagorean triple.

The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.

In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.

Given:

The following steps can be used in order to determine the measure of angle a:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)

\(\angle\text{Q}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-60\)

\(\angle\text{R}=60^\circ\)

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)

\(\angle\text{S}+2\angle\text{R}=180\)

\(2\angle\text{R}=180-90\)

\(\angle\text{R}=45^\circ\)

Step 4 - Now, the measure of angle a is calculated as:

\(\angle\text{a}=60-45\)

\(\angle\text{a}=15\)

The measure of angle a is 15 degrees.

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Answer:

no because the first one is already 6 gone and the question says twice of the first one so she didn't have enough

Answer:

C., G, and J

Step-by-step explanation:

Answer:

18 kilometers

Step-by-step explanation:

if you know the perimeter, then all you have to do is add up what you have, 10+7=17 and then subtract it giving you the bits that you dont know, so 35-17=18 kilometers.

Answer:

s = 9 Km

Step-by-step explanation:

the perimeter is the sum of the 4 sides

given perimeter = 35 , then

10 + 7 + s + s = 35

17 + 2s = 35 ( subtract 17 from both sides )

2s = 18 ( divide both sides by 2 )

s = 9 Km

According to the question we have for the given 8x6 matrix A and the linear transformation T: Rᵃ -> Rᵇ, the values of a and b must be a = 6 and b = 8.

Given an 8x6 matrix A, we can define a linear transformation T: Rᵃ -> Rᵇ by multiplying this matrix with a column vector from Rᵃ. For the matrix multiplication to be valid, the number of columns in A (which is 6) must match the number of rows in the column vector, which is equal to 'a'. Therefore, a = 6.

Now, after the matrix multiplication, we will get a new column vector in Rᵇ. The number of rows in this resulting vector is determined by the number of rows in matrix A, which is 8. Thus, b = 8.

In conclusion, for the given 8x6 matrix A and the linear transformation T: Rᵃ -> Rᵇ, the values of a and b must be a = 6 and b = 8.

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Answer:

20%

Step-by-step explanation:

given the info, let's add up all of the marbles we have so far

7 + 4 + 2 + 3 = 16 marbles

the rest are white and the total number of marbles in the bag are 20

16 marbles + white marbles = 20 marbles

there must be 4 white marbles

putting this in a fraction is 4/20

to put in percentage multiply by 100

4/20 × 100 = 20%

Answer:

-2

Step-by-step explanation:

-3+2=-1

-1+4=3

3-5=-2

Answer: 1/3 x + -1

Step-by-step explanation:

Answer:

y = 2x -1

Step-by-step explanation:

Use slope intercept. The line is rising by 2 points and the y-intercept lies at -1.

Hello!

7(x + 8) = 84 <=>

<=> 7x + 56 = 84 <=>

<=> 7x = 84 - 56 <=>

<=> 7x = 28 <=>

<=> x = 28 : 7 <=>

<=> x = 4

Good luck! :)

Answer:

113 feet away

Step-by-step explanation:

This one is just simple maths! 36 + 77.

Hava a great day!

Answer:

hy5ju5ju5uj5huj5h5

Step-by-step explanation:

(a) Using the given data, we can verify the calculations as follows: ∑x = 245, ∑x^2 = 14,755, ∑y = 224.

(b) To compute the sample mean, variance, and standard deviation for the percentage success of mallard duck nests (x), we use the formulas:

Sample Mean (x) = ∑x / n

Variance (s^2) = (∑x^2 - (n * x^2)) / (n - 1)

Standard Deviation (s) = √(s^2)

(c) Applying the formulas, we can compute the sample mean, variance, and standard deviation for x as follows:

Sample Mean (x) = 245 / 5 = 49

Variance (s^2) = (14,755 - (5 * 49^2)) / (5 - 1) = 4,285

Standard Deviation (s) = √(4,285) ≈ 65.5

Similarly, for the percentage success of Canada goose nests (y), the calculations can be done using the same formulas and the given values from part (a).

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Answer:

\(x^{\frac{1}{8} } y^{8}\)

Step-by-step explanation:

Given :

\((x^\frac{1}{4} y^{16} )^{1/2}\)

Now,

\((x^\frac{1}{4} y^{16} )^{1/2}\\x^{\frac{1}{8} } y^{8}\)

Therefore, expression is equivalent to \(x^{\frac{1}{8} } y^{8}\)

Answer:

any general specification cant understand

Step-by-step explanation:

Answer:

24.6 cm^2

Step-by-step explanation:

3.28m = 328 cm

75mm = 0.075 cm

Area of rectangle: L x W

328 times 0.075 = 24.6 cm^2

To solve this problem, you can use the following formula for simple interest:

where P is the initial amount, r is the rate of interest in decimal form, and t is the time in years.

Substituting A=1920, r=0.08, t=6, and solving for P, you get:

Simplifying, you get:

Answer:56.66 mi/h

Step-by-step explanation:

210 + 130 / 3.5 + 2.5 = 340 / 6

Divide by 6 and you get 56.66

Rounding to the nearest tenth 56.7 mi/h

The mean will be the middle number or 12.1.

According to our question-

The median is the middle number  in the data set when the data set is written from least to greatest.

least to greatest 4.8, 6.9, 12.1, 14.8, 16.2

Hence, The mean will be the middle number or 12.1.

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Answer:

1. To make a bell curve (a normal distribution) with a mean of 41 and a standard deviation of 5, we can use the following values on the x-axis:

x = 21, 26, 31, 36, 41, 46, 51, 56, 61

These values are symmetric around the mean of 41, and each value is one standard deviation away from the mean.

On the y-axis, we can mark the percentage of people in each interval, which is calculated using the area under the curve. The total area under the curve is 100%.

2. To find the percentage of people who were below 31 years old, we need to calculate the area under the curve to the left of x = 31. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.0228, or 2.28%.

So, about 2.28% of people were below 31 years old.

3. To find the percentage of people who were above 31 years old, we can subtract the percentage of people below 31 years old from 100%.

100% - 2.28% = 97.72%

So, about 97.72% of people were above 31 years old.

4. To find the percentage of people between 41 and 46 years old, we need to calculate the area under the curve between x = 41 and x = 46. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.3413, or 34.13%.

So, about 34.13% of people were between 41 and 46 years old.

5. To find the percentage of people older than Kip (who is 38 years old), we need to calculate the area under the curve to the right of x = 38. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.6306, or 63.06%.

So, about 63.06% of people were older than Kip.

Step-by-step explanation: