TEMPERATURE The temperature on a thermometer dropped from a reading of 25°to -8°. Find the midpoint of these temperatures.

Answer:

  88 : 132 : 44

Step-by-step explanation:

You want 264 divided into parts in the ratio 2 : 3 : 1.

The ratio units add up to 2+3+1 = 6. So, the part represented by 1 ratio units is 264/6 = 44. The 2 ratio units represent 88, and 3 represent 132.

The division is ...

  2 : 3 : 1 = 88 : 132 : 44

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The Values corresponding to the ratio 2:3:1 for a total value of 264 are 88, 132, and 44, respectively.

To divide 264 in a ratio of 2:3:1, we need to find the respective parts that correspond to each ratio.

Let's break down the total value of 264 into three parts based on the given ratio of 2:3:1.

Step 1: Find the total number of parts in the ratio

The total number of parts in the ratio 2:3:1 is 2 + 3 + 1 = 6.

Step 2: Calculate the value of each part

To find the value of each part, we divide the total value (264) by the total number of parts (6):

Value of each part = Total value / Total number of parts

                  = 264 / 6

                  = 44

Step 3: Determine the value for each ratio component

Now, we can calculate the value for each component of the ratio:

- For the ratio component 2, the value is 2 parts * 44 = 88.

- For the ratio component 3, the value is 3 parts * 44 = 132.

- For the ratio component 1, the value is 1 part * 44 = 44.

Therefore, the values corresponding to the ratio 2:3:1 for a total value of 264 are 88, 132, and 44, respectively.

In summary, when dividing 264 in a ratio of 2:3:1, the values corresponding to each ratio component are 88, 132, and 44, respectively.

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The mean absolute deviation (MAD) is 12. It represents the average of the absolute deviations of the forecast errors from the mean forecast.

Given forecast errors of 6, 21, and −9, the mean absolute deviation (MAD) is calculated as follows:Step 1: Add all the forecast errors, and find the sum.6 + 21 − 9 = 18Step 2: Find the absolute value of each forecast error.|6| = 6, |21| = 21, |-9| = 9Step 3: Add the absolute values of the forecast errors.6 + 21 + 9 = 36Step 4: Divide the sum by the number of forecast errors (3) to find the mean absolute deviation.36/3 = 12

Therefore, the mean absolute deviation (MAD) is 12. It represents the average of the absolute deviations of the forecast errors from the mean forecast. The absolute deviation is a measure of the distance between the forecast and the actual value. It provides a useful way to evaluate the accuracy of a forecast.

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The 95% confidence interval suggests if the nicotine patch is used for 2 months, there is a high likelihood that the proportion of individuals who will report no smoking incidents.

In the following year will fall between 17.4% and 24.8%. This means that the study results are statistically significant and reliable within this range, and it is likely that the nicotine patch can be effective in reducing smoking incidents for a significant proportion of users.
In the study of the nicotine patch, the appropriate interpretation of the 95% confidence interval (17.4%, 24.8%) is that we can be 95% confident that the true proportion of people who reported no smoking incidents in the following year after using the patch for 2 months lies between 17.4% and 24.8%.

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The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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Answer:

a. standard deviation

Step-by-step explanation:

Standard deviation measures the variation (how spread out the data is from the mean) of a data set.  

Else has 17 jar of apricot jam. The total amount jam that she made altogether is \(22\frac{2}{3}\).

What is a fraction?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Given that Else made enough strawberry jam to fill 5 2/3 jars. The amount of apricot jam is 3 times of strawberry.

The amount of apricot jam can fill

\(5\frac{2}{3}\) × 3

Now convert mixed fraction to improper fraction:

= [(5×3)+2]/3 ×3

= 17/3 × 3

= 17

Now the total number of jams that she made is

17 + \(5\frac{2}{3}\)

= 17 + 5 + 2/3

= 22 + 2/3

= \(22\frac{2}{3}\)

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The value of the expression tan(-5π/6) can be determined using trigonometric properties and  identities.

First, let's consider the unit circle. The angle -5π/6 is measured in the clockwise direction from the positive x-axis. In this position, the reference angle is π/6, which is the positive angle formed with the x-axis.

The tangent function (tan) is defined as the ratio of the sine (sin) of an angle to the cosine (cos) of the angle. Using the reference angle π/6, we can determine the value of tan(π/6) as the ratio of sin(π/6) to cos(π/6). sin(π/6) equals 1/2, and cos(π/6) equals √3/2. Therefore, tan(π/6) is (1/2) divided by (√3/2), which simplifies to 1/√3 or √3/3. Since tan is an odd function, tan(-5π/6) is equal to the negative of tan(5π/6). Therefore, tan(-5π/6) has the same value as -√3/3.

In conclusion, the value of tan(-5π/6) is -√3/3, which means that the tangent of the angle -5π/6 is negative and equal to the ratio of -√3 to 3.

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The sizes of the given jugs are not multiples of 4, so we cannot measure 4 gallons with them.

No, we cannot measure 3 gallons of water with 2 jugs of sizes 100 and 98 gallons.

We also cannot measure 4 gallons of water with these jugs.

A factor is one of two or more numbers that divides a given number without a remainder. A multiple of a number is a number that can be divided evenly by another number without a remainder. Factors and multiples are inverse concepts. A number sentence can help us to understand factors. For example, 3× 4 = 12.

Reasoning:

In order to measure 3 gallons of water, we need jugs that have capacities of 3 gallons or multiples of 3 gallons. Since the sizes of the given jugs are not multiples of 3, we cannot measure 3 gallons with them.

In order to measure 4 gallons, we also need jugs that have capacities of 4 gallons or multiples of 4 gallons.

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Answer:

Yes, Triangle A

Step-by-step explanation:

Answer:

$22.5

Step-by-step explanation:

2.5% of 900

0.025(900)= 22.5

[489.68, 510.32] is the confidence interval for the average amount spent on textbooks in a year if the desired level of confidence is 99%.

n=400

sample mean (x)=500

sample standard deviation (s)=80

99% confidence interval for mean

α=0.01

critical value \(Z_{\frac{a}{z} }\) =2.58

Standard error of sample mean Sx = \(\frac{s}{\sqrt[]{n} }\) = \(\frac{80}{\sqrt[]{400} }\) = \(\frac{80}{20}\) = \(4\)

∴ Sx = 4

Confidence interval (μ)

μ= \(x\) ± \(Z_{\frac{a}{z} }\) \(\frac{s}{\sqrt[]{n} }\\\)

μ= \(x\) ± \(Z_{\frac{a}{z} }\) (Sx)

=500 ± 2.58(4)

=500 ±  10.32

lower limit = 500 - 10.32 = 489.68

upper limit= 500 + 10.32= 510.32

Hence, [489.68, 510.32] is the confidence interval for the average amount spent on textbooks in a year if the desired level of confidence is 99%.

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Answer:

11/12

Step-by-step explanation:

6 7/12 - 5 2/3

=(6-5) + (7/12 - 2/3)

= 1 + 7/12 - 2*4 / 3*4

= 1 + 7/12 - 8/12

= 1 + 7-8 / 12

= 1 + -1/12

=11/12  

Answer:

Step-by-step explanation:

Answer: a very straight forward b 2 4 and 6 c 9

Step-by-step explanation:

blue with green is 5/10 green and red 3/10 both red 2/10 both blue 4/10

Answer:

Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.

Step-by-step explanation:

hope it helps, God bless!

Answer: 36.95

Step-by-step explanation:

Because its an equilateral triangle, each side is equal. We can split the equilateral into a 30-60-90 triangle. The base is x, the height is x\(\sqrt{3}\) and the hypotenuse is 2x.

32/\(\sqrt{3}\) = 18.4752086

So the height is equal to:

x = 18.4752086

18.4752086\(\sqrt{3}\)

Since the hypotenuse is 2x, we can calculate that with:

2x

= 2(18.4752086)

= 36.9504172

The length of each side is 36.95

The product of (4x² - 2x)( -3x³ - 4x² + 1) is, - 12x⁵ - 10x⁴ + 8x³ + 4x² - 2x.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, Are the product of two quadratic expressions (4x²-2x)(-3x³-4x²+1).

= 4x²(- 3x³ - 4x² + 1) - 2x(- 3x³- 4x² + 1).

= - 12x⁵ - 16x⁴ + 4x² + 6x⁴ + 8x³ - 2x.

= - 12x⁵ - 10x⁴ + 8x³ + 4x² - 2x.

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Part a: The value of x such that the both lines are parallel to each other is (x = 12).

Part : The value of y such that the both lines are parallel to each other is (y = 108).

In the given figure;

Part a: For making the lines w and t parallel to each other; their corresponding angles must be equal.

Thus,

4x + 60 = 9x

Solving;

9x - 4x = 60

5x = 60

x = 12

Thus, the value of x for which both lines w and t are parallel is 12.

Part b: For making the lines u and v parallel to each other; their corresponding angles must be equal.

Thus, 9x = y

Put x = 12.

y = 9×12

y = 108.

Thus, the value of y for which both lines u and v are parallel is 108.

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The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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The sentence "Seven is a prime number" is a statement.

A statement is a declarative sentence that is either true or false. So, a statement must always end with a period. It should express a complete idea without asking a question or making a command.

Now, let's identify which sentences are statements.

a. If x is a real number, then x^2>0. This is a statement.

b. Seven is a prime number. This is a statement.

c. Seven is an even number. This is not a statement since it is not true.

d. This sentence is false. This is not a statement because it is self-referential and not true.

Prime numbers are integers that have exactly two distinct divisors: 1 and itself. For example, the first six prime numbers are 2, 3, 5, 7, 11, and 13. This means that it cannot be divided by any other number except 1 and itself, making them special.

In the given choices, the sentence "Seven is a prime number" is a statement.

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The statements are;

Option b. "Seven is a prime number."

Option c. "Seven is an even number."

The two statements make claims or statements approximately the number seven and its properties.

Sentence b claims that seven could be a prime number, meaning it is as it were detachable by 1 and itself.

Sentence c claims that seven is an indeed number, which is inaccurate since seven is really an odd number.

Sentence d is a paradoxical statement known as the "liar paradox" and does not have a definite truth value.

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Answer:

11/20

Step-by-step explanation:

Answer:

452.16

Step-by-step explanation:

i got it right on test

The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

We have to given that;

Height of cylinder = 6 cm

And, Diameter of cylinder = 12 cm

Hence, We get;

⇒ Radius of cylinder = 12 / 2 = 6 cm

We know that;

The formula for the total surface area of a given cylinder whose radius is r and height is h is,

TSA = 2πr (h + r)

Hence, We get;

TSA = 2πr (h + r)

TSA = 2 × 3.14 × 6 (6 + 6)

TSA = 37.68 × 12

TSA = 452.16 cm²

Thus, The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

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Answer:

75 minutes

Step-by-step explanation: 750 divided by 10 is 75

7500 minutes or 125 hours..

The value of x is 4 in the provided sentence.

It is true that a triangle is a closed, two-dimensional entity because it has three edges, right triangle, and three vertices. A triangle is also a part of a hexagon. In the picture above, Triangle ABC is visible. Examples of triangles

It is clear from the provided image that in the triangular ACD, BE is aligned to CD.

According to the fundamental proportionality theorem, a line (BE) that is parallel to a triangle's side (ACD) and meets the other 2 aspects (AC and AD) at two different places (B and E) proportionally divides those sides.

Thus we have AB/BC = AE/ED

42/35 = 24/6x-4

6x-4 = 24 ×35/42

6x-4 = 20

6x = 20 + 4

6x = 24

x = 4

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It take 21.2 minutes longer to fill both the pipe together if both were opened at the same time.

In mathematics, fractions are used to represent proportions/parts of a whole. represent the same part of the whole. The top number is called the numerator and the bottom number is called the denominator. The numerator express the number of equal parts and the denominator defines the total number of equal parts of the whole.

Based on the given condition- formulation is-

1/1/45+1/40

We have to find the common denominator and then we can write the numerators above the common denominator

1/(8/45×8 + 9/40×9)

Now we have to calculate the product

1/(8/360+9/40×9)

1/(8+/360+9/360)

We have to write the numerators over common denominator

1/ 8+9/360

= 1/17/360

Divide a fraction by multiplying it's reciprocal

=360/17

= 21.2 m

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Answer:

<T = 73

Step-by-step explanation:

just did the assignment on Delta Math

Answer:

73

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The radius should give you what is inside the x and y parentheses and use the Pythagorean theorem to find the radius, but do not square root the result.