An electrician need to run a cable from the top of a 68-foot tower to a tranmitter box located 51 feet away from the bae of the tower. Fidn how long he hould cut the cable

The number below the fraction bar is called the denominator .

In the question ,

it is asked about what is the below the bar part in a fraction called .

we know that the fraction has two parts ,

one above the bar and other below the bar .

the part above the bar is called numerator and

the part below the bar is called the denominator .

For Example ,

in the fraction 2/5 .

the number above the bar is 2 , So it will be the numerator and

the number below the bar is 5 , So, it will be the denominator .

Therefore , the number below is called the denominator .

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109.8

just took the quiz

Equation of the line  that passes through the midpoint and is perpendicular to PQ is 2x - y +1 = 0.

One way to describe a perpendicular bisector is as a line segment that cuts through another line segment at a 90 degree angle. Simply said, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle. Measuring a line segment that needs to be bisected will help you discover a perpendicular bisector.

The midway of the measured length can then be determined by dividing it by two. From this center, extend a line at a 90-degree angle. All you need to do to determine the perpendicular bisector of two points is to discover their midpoint and negative reciprocal, then enter these results into the slope-intercept form of the equation for a line.

Here points are P( -4 ,3 ) and Q ( 4,-1)

Mid -point of PQ :

[tex]=(\frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )\\\\=(\frac{-4+4}{2} ,\frac{3-1}{2} )\\\\=(0,1)\\[/tex]

Slope of PQ:

[tex]m = \frac{y_{2}{-y_{1} } }{x_{2}{-x_{1} }} \\\\m =\frac{-1-3}{4+4}\\\\ m= \frac{-4}{8} \\\\m = \frac{-1}{2}[/tex]

The slope of the line is Perpendicular to PQ

so, slope 2= -1/m

slope 2 = -1/(-1/2)

slope 2 = 2

Equation of the line  that passes through the midpoint and is perpendicular to PQ

[tex]y-y_{1} =m(x-x_{1}) \\y-1 =2(x-0}) \\\\y-1=2x\\[/tex]

2x - y +1 = 0.

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Correct Question:

Find the midpoint of PQ with endpoints P (-4, 3) and Q (4,-1) . Then write an equation of the line that passes through the midpoint and is perpendicular to PQ. This line is called the perpendicular bisector.

The total pressure of a mixture of two gases is the finalized value of the summation of the total pressure of each of the gases.

The total pressure of a mixture of two gases can be expressed in the form of an equation, as below,

Total Pressure = Pressure of Gas 1 + Pressure of Gas 2

It is noteworthy to be mentioned that the partial pressure of an individual gas is completely in contrast to that of the individual pressure of a gas. It can be expressed in the form of an equation, as below,

Partial Pressure = Total Pressure of Gas x Mole Fraction of Gas

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There are three type of bias occurs they are Sampling, record and Anchoring

What is meant by bias?

In general terms, bias refers the action of supporting or opposing a particular person or thing in an unfair way, because of allowing personal opinions to influence your judgment

Here we need to find the type of bias occurs when researchers fail to choose a representative sample of potential respondents.

The first type is, Sampling bias is the phenomenon that happens when a research take a look at layout fails to collect a representative sample of a goal populace and this generally happens due to the fact the selection standards for respondents failed to seize a wide enough sampling frame to represent all viewpoints.

Secondly, Records bias where happens at some stage in the information series step and is not unusual in studies studies that involve self-reporting and retrospective facts series and it may also result from bad interviewing strategies or differing tiers of recall from contributors. the primary types of records bias are: take into account bias.

Finally, Anchoring bias is a cognitive bias that reasons us to depend too heavily on the first piece of statistics we are given approximately a topic.

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Answer:

2,000 vs 200 is a big difference, the main reason being that ten 200s is equal to one 2000

Step-by-step explanation:

The measure of <B is 41 degree.

The fundamental characteristics listed below make it simple to recognize parallel lines.

Given:

m<CEF = 145°

m<DCE = 104°

So, <FEC+ <CEB = 180 {Linear Pair}

<CEB = 180- 145

<CEB = 35 degree.

<BCA = < ECB= 104 {Vertically Opposite Angle}

Now, In ΔABC

< ABC+ <BAC + <CAB = 180

104+ 35 + <ABC = 180

<ABC = 180 - 139

m<ABC= 41 degree.

Hence, the measure of <B is 41 degree.

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As per the concept of regression, the best predicted value of given that the has an IQ is 106.2

What is meant by regression?

In math, regression refers a powerful statistical method that allows you to examine the relationship between two or more variables of interest

Here we have given that suppose IQ scores were obtained for randomly selected sets of . The pairs of measurements yield , , r , P-value 0.000, and , where x represents the IQ score of the .

And we need to find the best predicted value of given that the has an IQ.

While we looking into the given question we know that the a significance level is 0.05.

Then by using regression equation

=> ŷ=14.68+0.88x​

And now we have to plug in IQ, which is x

=> 14.68 + 0.88(104)

=> 106.2

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ANSWER

The answer is 6(3a+7b+1)

PLS MARK AS BRAINLIEST

The square root of the given expression√49 is equal to ±7.

As given in the question,

Given expression is equal to √49.

Let the square root of 49 be equal to the variable x we get,

x = √49

Write factors of 49 in form of prime numbers we get,

49 = 7 × 7

⇒ x = √ 7 × 7

⇒ x = √7²

Apply law of exponent ( mᵃ )ᵇ = mᵃᵇ we get,

here m = 7 , a = 2 and b = 1/2

⇒ x = ( 7² )^1/2

⇒ x = ( 7 )^( 2 × 1/2 )

⇒ x = ( 7 ) ¹

Any number raise to one is equal to number itself.

⇒ x = 7

Therefore, the square root of the given expression √49 is given by 7.

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Answer:

3,398.7 square centimeters.

Step-by-step explanation:

The area of a square is the square of the side length, so the ratio of the areas of the mirrors is equal to the ratio of the side lengths squared. If the ratio of the side lengths of Mirror A to Mirror B is 5:6, then the ratio of the side lengths squared is 5^2:6^2 = 25:36. This means that the ratio of the areas of Mirror B to Mirror C is 25:36.

The ratio of the areas of Mirror B to Mirror C is 25:36, and the ratio of the areas of Mirror B to Mirror C is 16:25, so 25:36 = 16:25. This means that the ratio of the areas of Mirror B to Mirror C is 1:1.5.

The perimeter of Mirror C is 280 centimeters, which means that each side has a length of 280/4 = <<280/4=70>>70 centimeters. The area of Mirror C is the square of this side length, or 70^2 = <<70^2=4900>>4900 square centimeters.

Since the ratio of the areas of Mirror B to Mirror C is 1:1.5, the area of Mirror B is 1.5 times the area of Mirror C, or 1.54900 = <<1.54900=7350>>7350 square centimeters.

The ratio of the side lengths of Mirror A to Mirror B is 5:6, so the side length of Mirror A is 5/670 = <<5/670=58.333>>58.333 centimeters. The area of Mirror A is the square of this side length, or 58.333^2 = <<58.333^2=3398.68>>3398.68 square centimeters. Rounding to the nearest tenth of a centimeter, the area of Mirror A is 3398.7 square centimeters. Answer: {3,398.7}.

To demonstrate that ΔKLM ≈ ΔEFG , we can use the SSS Similarity Theorem.

Given,

The ratio of the corresponding sides of the triangles ΔKLM  and ΔEFG;

KM/EG = 8/24 = 1/3

KL/EF = 6/18 = 1/3

ML/GF = 5/15 = 1/3

We have to prove that the triangles are similar using SSS or SAS similarity theorems;

SSS similarity theorem;

The two triangles are similar if all three sides of one triangle are in proportion to the three sides of another triangle.

SAS similarity theorem;

The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.

Here, the sides of the triangles are in proportion.

That is,

KM/EG = KL/EF = ML/GF = 1/3

Here,

We can consider SSS similarity theorem to prove that ΔKLM ≈ ΔEFG

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The graph of the linear equation can be seen at the end, and:

a) f(-4) = 1

b) f(5) = -8

c) f(0) = -3

d) you need to circle the points (-3, 0) and (-10, 7)

Here we have the following linear function:

f(x) = -x - 3

We want to graph that line, but first let's evaluate as it asks in the steps below.

To evaluate the function, we only need to replace the variable x by the correspondent number.

a) f(-4)

Here just replace the variable x by the number -4, you will get:

f(-4) = -(-4) - 3

f(-4) = 4 - 3

f(-4) = 1

b) Here we will do the same thing:

f(5) = -5 - 3

c) f(0) = -0 - 3

f(0) = -3

d) To see which points are in the line, just replace the values of the point in the given equation. If the equation remains true, then the point is on the line.

For example, the first one (-3, 0) will give:

0 = -(-3) - 3

0 = 3 - 3

0 = 0

That equation is true, so the point is on the line.

The point (-10, 7) is also on the line:

7 = -(-10) - 3

7 = 10 - 3

7 = 7

Finally, let's do the graph.

Now you know that (-10, 7) and (-3, 0) are points on the line, you can graph these in the coordinate axis and connect them with a line.

the graph of the linear equation can be seen in the image below.

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Answer:

Median: 8.15

Mean: 7.6

Mode: 10.1

Step-by-step explanation:

10.1, 12.3, 2.4, 10.1, 4.5, 6.2

2.4, 4.5, 6.2, 10.1, 10.1, 12.3

Median:

(6.2 + 10.1)/2 = 8.15

Mean:

2.4 + 4.5 + 6.2 + 10.1 + 10.1 + 12.3 = 45.6

45.6 / 6 = 7.6

Mode:

10.1

I hope this helps!

Answer:

y=-8 or y=8

Step-by-step explanation:

First you swap the sides of the question:

y^2=64

then you simplify the equation and take the square root of both sides of the equation and remember to use both positive and negative roots:

y= + 8 (make sure the "+" has the line under it that looks like this _)

Then you separate the solution and write the solutions, with a + sign and - sign, which gives you your solution:

y=-8

y=8

or

y1=-8 , y2=8

The function's domain are {4.1, -2, -2.5, -4} and range are {1.1, 2, 3, 0}.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

From the given graph, we have (4.1, 1.1), (-2, 2), (-2.5, 3), (-4, 0)

The domain of functions are={4.1, -2, -2.5, -4}

The range of functions are={1.1, 2, 3, 0}

Therefore, the function's domain are {4.1, -2, -2.5, -4} and range are {1.1, 2, 3, 0}.

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The example of stratified sampling is a health educator wanted to study the sleeping habits of the undergraduate students in her study.

For her study, the researcher chose a simple random sample of size 150 from each of the classes (150 freshmen, 150 sophomores, 150 juniors, and 150 seniors) for a total of 600 sampled students. a poll asked a random sample of 1,112 adults whether they believe that the use of marijuana for medical reasons should be legalized.

Sampling:

In statistics, quality assurance, and research methodologies, sampling is the selection of a subset of individuals (statistical sample) from a statistical population in order to estimate characteristics of the population as a whole. A statistician tries to collect a representative sample of the population in question. Sampling is less costly than measuring the entire population, provides faster data collection, and can provide insight when the entire population cannot be measured.

Stratified Sampling:

When the population embraces a number of distinct categories, the frame can be organized by these categories into separate "strata." Each stratum is then sampled as an independent sub-population, out of which individual elements can be randomly selected. The ratio of the size of this random selection (or sample) to the size of the population is called a sampling fraction. There are several potential benefits to stratified sampling.

There are, however, some potential drawbacks to using stratified sampling.

First, identifying strata and implementing such an approach can increase the cost and complexity of sample selection, as well as leading to increased complexity of population estimates.

Second, when examining multiple criteria, stratifying variables may be related to some, but not to others, further complicating the design, and potentially reducing the utility of the strata.

Finally, in some cases (such as designs with a large number of strata, or those with a specified minimum sample size per group), stratified sampling can potentially require a larger sample than would other methods (although in most cases, the required sample size would be no larger than would be required for simple random sampling).

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Answer:q

Step-by-step explanation: If you want an answer you have to give us the data

The new height after the increase is 207cm

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. To calculate the percentage we need to have the initial value and the increased (new) value. In other words, we can say that percentage increase is a measure of percent change which gives the extent to which a quantity gains magnitude.

therefore %increase =( final value- initial value)/initial value ×100

let the final height of bush be x

15= (x-180)/180 ×100

2700= 100x-18000

collect like terms

2700+18000=100x

100x= 20700

divide both sides by 100

x= 20700/100

x= 207cm

therefore the new height of the bush is 207cm

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The fraction of chocolate left in the box is [tex]\frac{1}{6}[/tex].

A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.

Given:

Andrew eat = 1/3 of the chocolate,

Jame eats =2/5 of the chocolate

Jenny eat =1/10 of the chocolate

According to the question,

Let the total chocolate = 1

Therefore as per the question,

Chocolate left = 1 – [1/3+2/5+1/10]

[tex]=1- [\frac{1}{3} +\frac{2}{5} +\frac{1}{10} ]\\=1 - [ \frac{10 + 12+3}{30} \\=1-\frac{25}{30} \\= 1 - \frac{5}{6} \\\\= \frac{1}{6}[/tex]

Threfore, the Fraction of chocolate left in box is [tex]\frac{1}{6}[/tex].

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Answer:

B

Step-by-step explanation:

The second-smallest positive integer that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38

Given that,

We have to find the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3.

We know that,

We get equations as

N = 3a + 2

N = 7b + 3

Subtracting these equations we have that

3a - 7b - 1  = 0

3a - 7b =  1

So,

a=12 and b=5

The second integer we get is 38

Therefore, the second-smallest positive number that, when divided by 3, leaves a remainder of 2, and when divided by 7, leaves a remainder of 3 is 38

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Volume of the sphere V is 2304π units³ when in the picture we have a sphere with radius 12 cm.

Given that,

In the picture we have a sphere with radius 12 cm.

We have to find what is the volume of the sphere of the picture.

We know that,

The volume of the sphere formula is V = 4/3πr³.

Here,

π is 3.14

r is 12

Volume of the sphere V = 4/3πr³

Volume of the sphere V = 4/3(π)(12)³

Volume of the sphere V = 4/3(π)(1728)

Volume of the sphere V = 2304π

Therefore, Volume of the sphere V is 2304π units³ when in the picture we have a sphere with radius 12 cm.

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The function in the random library that generate a random integer from 0 to the parameter value inclusive is random.randint() function

Functions are another key idea in programming because they let you put a piece of code that performs a specific purpose inside a specified block and then call that code whenever you need it with a single, brief command rather than repeatedly typing the same code.

Code units that are "self contained" and carry out a particular purpose are called functions. Typically, functions "take in," "process," and "return" data and results. Once a function has been developed, it may be utilized countless times.

From the above definition, we get that

The  function in the random library will generate a random integer from 0 to the parameter value inclusive is  random.randint() function

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A system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased are as follows;

Let S = number of bottles of soda.

Let J = number of bottles of juice.

System of Equations:

30S + 40J = 430

J = 2 + S  

In order to write a system of linear equations to describe this situation, we would assign variables to the number of bottles of soda and number of bottles of juice respectively, and then translate the word problem into algebraic equation as follows:

Since each bottle of soda has 30 grams of sugar and each bottle of juice has 40 grams of sugar with both of them having a sum total of 430 grams of sugar, we have the following equation:

30S + 40J = 430              .....equation 1.

Wyatt purchased 2 more bottles of juice than bottles of soda;

J = 2 + S                            .....equation 2.

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Answer:

  (c)  20

Step-by-step explanation:

You want to find x, given that the external angle adjacent to a base angle of an isosceles triangle is (5x +12)°, and the other base angle is marked (3x +8)°.

The base angles of an isosceles triangle are congruent, so the other base angle is congruent to the marked base angle.

The external angle and the adjacent base angle are a linear pair, hence supplementary.

  (5x +12)° +(3x +8)° = 180°

  8x +20 = 180 . . . . . . . divide by °, collect terms

  8x = 160 . . . . . . subtract 20

  x = 20 . . . . . divide by 8

Answer: 72 meters

Step-by-step explanation: The formula for the area of a square is

Length x Width = Area. The width is 6. Double of six is 12. 12 x 6 =72.

Answer:

x = - 10

Step-by-step explanation:

2(x + 3) = x - 4 ← distribute parenthesis on left side

2x + 6 = x - 4 ( subtract x from both sides )

x + 6 = - 4 ( subtract 6 from both sides )

x = - 10

Answer:

-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

2x-x=(-4)-6

x=-10

Hence the answer is -10

Thus , option a)human brains evolved to notice how often things occur, not how likely they are to occur is correct

Probability theory deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is expressed as a number between 0 and 1, with 1 typically signifying certainty and 0 typically signifying impossibility.

Here,

According to the hypothesis of the frequency format, humans may process information more effectively when it is given as frequencies rather than probabilities. Possibly, this is the reason

Because human brains have evolved to perceive frequency rather than likelihood of events.

Thus , option a)human brains evolved to notice how often things occur, not how likely they are to occur is correct.

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