The density of a certain material is such that it weighs 7 pounds per pint of volume. Express this density in grams per milliliter. Round your answer to the nearest hundredth.

To find the probability of a randomly chosen value between -1.341 and 2.602 for a t-distribution with 15 degrees of freedom, we need to calculate the cumulative probability using the t-distribution table or a statistical software.

The cumulative probability represents the area under the t-distribution curve between the given values.

Using a statistical software or t-distribution table, we can find the cumulative probabilities for the lower and upper values and then subtract the lower cumulative probability from the upper cumulative probability to get the desired probability.

For example, let's assume the cumulative probability for -1.341 is P1 and the cumulative probability for 2.602 is P2. Then, the desired probability is P2 - P1.

Since the exact values for P1 and P2 may not be readily available here, I'm unable to provide the specific probability without using a t-distribution table or statistical software. However, you can calculate it using appropriate tools or software by finding the cumulative probabilities for the given values.

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Answer:

A=4ft²

Answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

A segment joining the midpoints of two sides of a triangle is

parallel to the third side

∠ 1 and 144° are same- side interior angles and sum to 180° , so

∠ 1 + 144° = 180° ( subtract 144° from both sides )

∠ 1 = 36°

----------------------

∠ 2 and 56° are corresponding angles and are congruent , so

∠ 2 = 56°

-------------------------

∠ 3 and 56° are a linear pair and sum to 180°

∠ 3 + 56° = 180° ( subtract 56° from both sides )

∠ 3 = 124°

--------------------------

the sum of the 3 angles in a triangle = 180° , then

∠ 1 + ∠ 2 + ∠ 4 = 180° , that is

36° + 56° + ∠ 4 = 180°

92° + ∠ 4 = 180° ( subtract 92° from both sides )

∠ 4 = 88°

--------------------------------

∠ 5 and ∠ 1 are corresponding angles and are congruent , so

∠ 5 = 36°

----------------------------------

Answer:

m∠1 = 36° , m∠5 = 36° , m∠4 = 88°  , m∠3 = 124° , m∠2= 56°

Step-by-step explanation:

m∠1 and 144° are Co-Interior angles, or the angles which are on the same side of the transveral

m∠1 + 144°  = 180°

m∠1 = 36°

angle 5 and 144° are in a linear pair-
144 °+ angle 5 = 180°

m∠5 = 36°

angle 5 + 56° + angle 4 = 180°        because addition of angles of a triangle is 180°

36° + 56° + angle 4 = 180°
angle 4 = 180° - 92°
angle 4 = 88°

56° and angle 3 are in a linear pair

56° + angle 3 = 180°
angle 3 = 124°

angle 3 and angle 2 are Co-Interior angles

angle 3 + angle 2 = 180°
124° + angle 2 = 180°
angle 2 = 56°

Hope it helped and you understood it :)

Answer:

7 7/8

Step-by-step explanation:

Covert the mixed fractions into improper fractions to make this easier.

2 \(\frac{1}{4} and 3\frac{1}{2}\) into \(\frac{9}{4} (2*4 +1) and \frac{7}{2} (3*2+1)\). (In parenthesis, its the process of creating the improper fractions and not part of the fractions themselves.

Now you just multiply both together since 1 bag needs 2 1/4 kilograms and Anthony needs  3 1/2 bags.

That gets you \(\frac{63}{8}\) which you get by multiplying 9 and 7 in the numerator and 4 and 2 in the denominator

Finally, find out how many 8 goes into 63 which would be 7 times. 63-(7*8) = 7.

And so the answer is 7 7/8

Answer:

6 x h + 7

Step-by-step explanation:

Answer:

That is definitely C

happy holidays to you too

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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Answer:

3×6 + 3×6 =36

Step-by-step explanation:

3 multiply 3+3 = 3*6 =18×2 =36

Answer:

Step-by-step explanation:

=3(3+3)+3(3+3)

=3x6+3x6

=18+18

=36

I hope this helps

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The length of the line segment ST which has a midpoint M is of 26 units.

A line segment is a subset of a line which has two end points.

We know a midpoint divides a line segment in two equal parts.

Given a line segment ST which has two sub segments SM and MT.

∴ 2(SM) or 2(MT) is equal to the line segment ST.

Given ST = (2x + 3) + (4x - 7) and SM = 2x + 3 and MT = 4x - 7.

So, 2(2x + 3) =  (2x + 3) + (4x - 7)

4x + 6 = 6x - 4.

6 + 4 = 6x - 4x.

10 = 2x.

x = 5.

Now, substituting the value of 'x' in ST which is,

= [2(5) + 3) + [4(5) - 7)].

= 10 + 3 + 20 - 7.

= 33 - 7.

= 26 units.

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The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

= (x + 2)(x + 1)(x - 1)

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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Let's start by representing the three consecutive even integers as x, x+2, and x+4, where x is the smallest of the three.

According to the problem, the product of the first and second is 80 more than 15 times the third.

We can translate this into an equation as follows:

x(x+2) = 15(x+4) + 80

Expanding the left side and simplifying,

we get:

x^2 + 2x = 15x + 100

Bringing all the terms to one side,

we get:

x^2 - 13x - 100 = 0

We can solve this quadratic equation using the quadratic formula:

x = [13 ± √(13² + 4(100))]/2

x = [13 ± √729]/2

x = [13 ± 27]/2

We reject the negative solution and take the three consecutive even integers as:

x = 20, x+2 = 22, x+4 = 24

Therefore, the three positive consecutive even integers that satisfy the given condition are 20, 22, and 24.

The brackets are first, then the multiplication

A circular park of radius 14 m has a road of 7 m width all around on its outside then the  area of the road is approximately 153.943 square meters.

The circular park has a radius of 14 m. This means that the diameter of the park is 2 x 14 = 28 m. The road around the park has a width of 7 m. This means that the total width of the park and the road is 28 + 7 + 7 = 42 m. The area of the circular park can be found using the formula for the area of a circle: Area of park =\(π x r^2 = π x 14^2 = 615.752 m^2\) (rounded to 3 decimal places)

The area of the park and the road can be found by calculating the area of the larger circle and subtracting the area of the park: Area of park and road =\(π x (r+7)^2 - π x r^2 = π x (14+7)^2 - π x 14^2 = π x 21^2 - π x 14^2 = π x (441 - 196) = π x 245 = 769.695 m^2\) (rounded to 3 decimal places)

To find the area of just the road, we need to subtract the area of the park from the area of the park and road: Area of road = Area of park and road - Area of park = 769.695 - 615.752 =\(153.943 m^2\) (rounded to 3 decimal places)

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The value of the quotient expression 546 ÷ 13 is 42

The expression is given as

546 divided by 13

Rewrite the expression as

546 ÷ 13

By the standard algorithm, we have

The expression can be solved using a calculator and with the use of standard algorithm i.e. partial decomposition

By the rule of partial decomposition, we have

a ÷ b = (c ÷ d) ÷ b

Where

a = c + d

Next, we expand the expression as follows:

546 ÷ 13 = (520 + 26) ÷ 13

Remove the brackets

So, we have

546 ÷ 13 = 520 ÷ 13 + 26 ÷ 13

Evaluate the quotients

So, we have

546 ÷ 13 = 40 + 2

Evaluate the sum

So, we have

546 ÷ 13 = 42

Hence, the solution of 546 ÷ 13 is 42

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Answer:

-50 i think

Step-by-step explanation:

Odd integers are:

1, 3, 5, ...

They are spaced "2" units apart.

So,

if the first odd number is "x",

the next is "x + 2"

the third one is "x + 2 + 2"

the fourth one is " x + 2 + 2 + 2"

Thus, the four consecutive odd numbers are:

We sum the expressions and equal to -8. Then solve for x:

So,

This is the least integer out of the 4:

Answer:

8

Step-by-step explanation:

They both divisible by 8

Answer:

42.09 cubic units

Step-by-step explanation:

\(\frac{4.11*5.12}{2} *4\)

=42.0864, which rounds to 42.09

Note: The 6.57 is not needed to solve this problem

Answer:

Q17) 329m²

Q15) 17,024cm²

Q14) 96

Step-by-step explanation:

Q17)

Find the surface area of the triangle.

The formula to finding the area of a triangle is (b×h)÷2.

The base and height is given, 7m and 5m, respectively. This makes the formula into (7×5)÷2.

Simplyifying it, it turns into 35÷2 which equals 17.5m². Since there are two triangles, the total area of the triangles is 35m².

Now you need to find the area of each of the rectangles. The formula to finding the area of rectangles is simply b×h.  

For the rectangle thats in view, the formula will be 14×6 which equals 84cm².

For the rectangle thats at the bottom, you can tell by the base of the triangle and the length of the first trectangle, that the base is 14m and the height is 7m, making the formula 14×7 which equals 98m².

For the last rectangle, you can tell by the base of the first rectangle and one of the sides of the traingle that the base is 14m and the height is 8m, making the formula 14×8 which equals 112m².

To find the total surface area, you need to add all the answers we came up with (all the answers in bold) together. 35m² + 84m² + 98m² + 112m² = 329m².

Q15)

If you rotate the shape anti-clockwise, you can see that the shape is a trapezium. The formula for finding the area of a trapezium is {(a+b)×h}÷2. (Basically, adding A and B together, mutiplying the answer by the height and dividing the whole result by two.)

A and B in a trapezium are the top and bottom lines, which are 80cm and 186cm. The height in the trapezium is shown by the dotted line, which is 128cm. Substituting the letters for the numbers in this problem, you get:

{(80+186)×128}÷2.

To solve it, we first need to add 80 and 186, which adds up to 266.

Now the formula is (266×128)÷2.

If we multiply 266 by 128, we get 34,048.

The formula is now 34,048÷2. Solving this, we get 17,024.

Therefore, the answer is 17,024cm².

Q14)

This question is rather simple to solve. There are 6 equal squares, and each square is 4 units in length and 4 units in width (because it's a square, both length and width is equal).

4×4 = 16. This means that each square is 16 units. Since there are 6 equal squares and each square is 16 units, you can easily multiply 6 by 16, to get 96. Making the answer 96.

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

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Answer: 2(x-2)=6

Step-by-step explanation: when they say twice, so you make is times 2, then it said the difference of a number which would be a variable, or x, and 2, is 6, so one part is =6, next is the variable -2, so you can use x-2, then in order to multiply everything, you need to make parenthesis. So, it would be x-2=6, but you forgot the parathesis, so 2(x-2)=6

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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Except than x = 1, all real numbers fall within the function's domain.

Since there are no limitations on what we can substitute for x, the domain of a function, f(x), is all real numbers because any real numbers would make f(x) a defined function. As a result, when this is not the case, the domain of a function, f(x), is not all real numbers.

The rational function r(x) = 2x/(x-1) is defined as follows.

So, we set the denominator to zero and solve for x in order to determine the domain of r(x):

x - 1 = 0

x = 1

Hence, x = 1 is the only value of x that causes the denominator to equal 0. R(x) therefore has a domain of all real numbers other than x = 1.

We can express the domain as follows in interval notation:

(-∞, 1) U (1, ∞)

Except than x = 1, all real numbers fall within the function's domain.

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Question:

Which of the following correctly describes the domain of the function shown below?

r(x) = 2x x-1

A. {x:x0}

B. {x: x = 1}

c. x all .real .numbers}

D. xx1}

Answer:

120÷3=40 g onions

60÷3=20 g carrots

3÷3=1 tablespoon of oil

480÷3=16 g tomatoes

900÷3=300 ml vegetable stock