What is the average or -1,0,and2

The true statements are;

1) AB + BC = AC

Length of BC = |6 - 1|

2) ∠JMK = 50°

∠KML = 35°

1) From the given number line interval, we can deduce the interpretation as follows;

AB + BC = AC

Length of BC = 5 units or |6 - 1|

Length of B = 3 Units

2) We can see that ∠JML is an angle triangle. Thus, ∠JML = 85°. Thus;

6x + 2 + 4x + 3 = 85

10x + 5 = 85

10x = 85 - 5

10x = 80

x = 80/10

x = 8°

Thus;

∠JMK = 6(8) + 2

∠JMK = 50°

∠KML = 85° - 50°

∠KML = 35°

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The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Expression for given numerical is: 9+ (2/x)

Given that we have an word equation that is 9 more than the quotient of 2 and  x

A quotient is a quantity produced by the division of two numbers.

Quotient of 2 and x is \(\frac{2}{x}\).

Nine(9) more  than 2/x is = 9+ (2/x)

So we have an expression that is:

              9+ (2/x)                          

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Answer:

9

Step-by-step explanation:

Its not very clear but think its still correct all you do is look at the two cordinets and divide  

Answer:

6,908.25$

Step-by-step explanation:

First, convert R to a decimal.

So R=0.1383

Next, 42 months = 3.5 years

A=4655(1+(0.1383 * 3.5))  = 6,908.25275

Answer:

-13

Step-by-step explanation:

-4-3(3)

-4-9 = -13

The surface area of a cylinder is 284m² and it's volume is 366.9m³

To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:

From the given question, the data are;

a. The surface area of the cylinder is;

SA = 2π(4)² + 2π(4)(7.3)

SA = 283.999≈284m²

b. The volume of the cylinder is

v = πr²h

v = π(4)²(7.3)

v = 366.9m³

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Answer:

A) 2

B) 33

C) 13

Step-by-step explanation:

Baseball =26

Football = 23

Basketball = 22

Baseball and Football (BF) = 12

Baseball and basketball (BK) = 13

Football and basketball (FK) = 14

All three (BFK) = 7

A) The total number of cities that have basketball teams is given by the cities with basketball only, added to the cities with basketball and football and cities with basketball and baseball, minus the cities with all three sports:

\(22=K+BK+FK-BFK\\22=K+13+14-7\\K=2\)

B) The total number of cities with baseball of football is given by sum of the cities with either sport, minus the number of cities with both sports:

\(B\ or\ F = 23+22-12\\B\ or\ F =33\)

C) If 22 cities have basketball and only 2 have basketball only, 20 cities have basketball and either baseball, football or all three sports. The number of cities with baseball or football, but not basketball is:

\((B\ or\ F)\cap (not\ K) = 33-20=13\)

Answer:

Given: total of 810 miles

             Judy's miles = x

             Susan's miles = 2x

   Solution:  

Solve for Judy's miles

                            2x + x = 810 miles

                            3x = 810 miles

                            (transpose) x= 810 miles / 3

                            x = 270 (Judy drove 270 miles)

Solve for Susan's miles

                           2x = Susan's miles

                           2(270 miles) = 540 miles

  Answer:  Susan drove for 540 miles

Answer:

Given: total of 810 miles

Judy's miles = x

Susan's miles = 2x

  Answer: Susan drove for 540 miles

Step-by-step explanation:

Solution:  

Solve for Judy's miles

2x + x = 810 miles

3x = 810 miles

 (transpose) x= 810 miles / 3

x = 270 (Judy drove 270 miles)

Solve for Susan's miles

2x = Susan's miles

2(270 miles) = 540 miles

Step-by-step explanation:

the area of a rectangle is

length × width

the perimeter of a rectangle is

2×length + 2×width

so,

length×width = 48 cm²

2×length + 2×width = 28 cm

length + width = 14 cm

length = 14 - width

we use this in the first equation :

(14 - width) × width = 48

14×width - width² = 48

-width² + 14×width - 48 = 0

a quadratic equation

ax² + bx + c = 0

has the general solution

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = width

a = -1

b = 14

c = -48

width = (-14 ± sqrt(14² - 4×-1×-48))/(2×-1) =

= (-14 ± sqrt(196 - 192))/-2 =

= (-14 ± sqrt(4))/-2 =

= (-14 ± 2)/-2 =

= 7 ± 1

width1 = 7 + 1 = 8 cm

width2 = 7 - 1 = 6 cm

length1 = 14 - width1 = 14 - 8 = 6 cm

length2 = 14 - width2 = 14 - 6 = 8 cm

so, we see, one of them must be 8 cm, and the other 6 cm.

let's length be the longer side, so

length = 8 cm

width = 6 cm

Answer:

C= 182.21 approx.

Step-by-step explanation:

To find circumference you do

C= pi(d)

d= diameter since radius is half the length of the diameter, you do 29x2=58

Now you have C=3.14(58)

                        C =181.21

Hope this helped :)

Answer:

54 republicans

50 democrats

Step-by-step explanation:

x=republicans

y=democrats

x+y=104

x=y+4

substitute for y

y+4+y=104

simplify

2y=100

y=50

x=54

Answer:

Excise tax

Step-by-step explanation:

Correct me if I'm wrong <3

Answer:

37.68

Step-by-step explanation:

c = 2 x 3.14 x 6

Answer:

tan R = 9/19

............

The value of the trigonometric relation tan R = 9/19

Trigonometry is the study of the correlations between triangle angles and side lengths.

Sine, cosine, tangent, cosecant, sec, and cotone are the six trigonometric functions.

Let the angle be such that sin = opposed to the hypotenuse, cos = next to the hypotenuse, and tan = opposite to the adjacent. Cosec = 1/sin, sec = 1/cos, cot = 1/tan.

Given the data,

Let the triangle be denoted by the symbol RST.

Now, the triangle's other side ST equals nine units.

The triangle's base, RS, is equal to 19 units.

Moreover, the trigonometric relationship is tan R, where R has a value of

The result of substituting the values in the equation is

According to the trigonometric relationship, tan equals opposite or adjacent.

Tan R = ST / RS is the result of simplifying the equation.

tan R = 9 / 19

The trigonometric relationship is therefore tan R = 9/19.

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Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

Answer:

M  = 0

Step-by-step explanation:

The line is parallel to x-axis.

The slope of any line parallel to x-axis is 0

9514 1404 393

Answer:

Step-by-step explanation:

These are two "special triangles." The ratios of side lengths are numbers not difficult to remember. They can save a lot of work in problems like this.

Ratio of side lengths in 45°-45°-90° isosceles right triangle: 1 : 1 : √2.

Ratio of side lengths in 30°-60°-90° right triangle: 1 : √3 : 2.

__

The side marked x has the same length as the side marked 14√2.

  x = 14√2

The unmarked hypotenuse of both triangles is √2 times the marked side length, so is (14√2)(√2) = 28.

The side marked y is half the length of the hypotenuse of that triangles so is ...

  y = 28/2

  y = 14

And the side marked z is √3 times the short side of the 30°-60°-90° triangle, so is ...

  z = 14√3

_____

Alternate solution

The mnemonic SOH CAH TOA can help you remember trig relationships. Here, 14√2 is opposite the given 45° angle, and x is adjacent. The trig relation is ...

  Tan = Opposite/Adjacent

  tan(45°) = 14√2/x

  x = 14√2/tan(45°) = 14√2

__

To find y or z, we need to know the length of the hypotenuse in the 45° triangle. The given side is opposite the angle, so we can use the sine relation:

  Sin = Opposite/Hypotenuse

  hypotenuse = 14√2/sin(45°) = 28

Now, we can find y and z:

  sin(30°) = y/hypotenuse

  y = (28)sin(30°) = 14

  cos(30°) = z/hypotenuse

  z = (28)cos(30°) = 14√3

As per the given confidence interval, the given statement "in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference" is false.

Confidence interval,

in probability , confidence interval refers the probability that a population parameter will fall between a set of values for a certain proportion of times.

Given,

in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference.

Here we need to find the given statement is true or false.

While we looking into the given question, we have identified that the value of

Confidence interval = 95%

Sample size = 20

Then the sample inference is calculated as, if we were to take 20 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).

Therefore, the statement is in correct.

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Answer:

Paula = 2x coins

Step-by-step explanation: We don't know how many x is, but we know that whatever x is, Paula is going to have double that number of coins. Turn this explanation into an equation... 2x...

It is given that, in 30 minutes the snow falls is 4/9 in.

We know that

Answer:

$87.95 ≤ m ≤ $205.22

Step-by-step explanation:

Answer:

`y = 2

y = -1

Step-by-step explanation:

Im not very good at explaining things im new at so all i can get s the answer

Answer: 30

Step-by-step explanation:

You put the numbers from least to greatest. 27,28,28,29,29,29,30,30,30,31,31,31,33,34. Then the median would be 30 and 30. So then you would add the two numbers 30 + 30 then divide by 2. 60/2 and the answer would be 30. Hopefully that was helpful.

Answer:

the gcf of 41 and 48 would be 1

Answer: 1

Step-by-step explanation:

41      48

 /\       /\

1 * 41  1 * 48

Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

Answer:

The answer to this question is 0.6

Step-by-step explanation:

the probability of both is the one they share

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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