What is the length of Line segment A B? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is a right angle and angle C A B is 75 degrees. The length of C A is 10 meters and the length of hypotenuse A B is x. 9.7 m 10.4 m 37.3 m 38.6 m

Answer:

A. the brand of car

Step-by-step explanation:

quantitative variable  are those variable whose value can be represented by any number. The number may be fractional, decimal or discrete. But it should have some value like 2, 8, 1000 , 3.555, 4/5 ETC.

______________________________

Given

A. the brand of car

The brand cannot have numerical  value. Brand has value like ferrari, mercedes, SKODA , JEEP etc.

Hence,

A. the brand of car is an example of a quantitative variable that  might not  be used to describe a car in a race. (Answer)

___________________________

Other three

can have numerical values

as

the number of tires can have value 1,2,3,4,5

the number of laps completed can have value from 0, 1, 2, ...to n laps as decided for thr race

average speed can have value 40 km.hr, 45.666 km/hr ...etc

Answer:

the brand of car

This is the answer edge 2020

Step-by-step explanation:

Answer:

it is the quadratic equations to sole your questions

Answer and explanation:

The political scientist is investigating "proportion of adult residents

..." and so the subjects of his study can only be found among adults. The units are therefore all adults, including registered adults. The frames can include census data showing adults in a particular area, telephone directories, registered voters in the area etc. If the researcher chooses to use personal interview in collecting data for his research, he would easily get response and also be able to explain questions out more, also there is the benefit of less corrupted data. Using telephone interview would save the researcher and respondents costs as there is no need to travel and the researcher could still explain out questions properly. If the researcher chooses to collect data through mailing respondents, there is alot more flexibility as respondents can reply at their convenience and when they are ready, also subjects may wish to not disclose identity with this data collection method

Answer:

Step-by-step explanation:

Let us denote probability of   spoilage as follows

Transformer spoilage = P( T ) ; line spoilage P ( L )

Both P ( T ∩ L ) .

Given

P( T )  = .05

P ( L ) = .08

P ( T ∩ L ) = .03

a )

For independent events

P ( T ∩ L ) =  P( T ) x  P ( L )

But  .03  ≠  .05 x .08

So they are not independent of each other .

b )

i )

Probability of line spoilage given that there is transformer spoilage

P L/ T ) = P ( T ∩ L ) / P( T )

= .03 / .05

= 3 / 5 .

ii )

Probability of transformer spoilage but not line spoilage.

P( T ) - P ( T ∩ L )

.05 - .03

= .02

iii )Probability of transformer spoilage given that there is no line spoilage

[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )

=  .02 / 1 - .08

= .02  / .92

= 1 / 49.

i v )

Neither transformer spoilage nor there is no line spoilage

= 1 - P ( T ∪ L )

1 - [  P( T ) +  P ( L ) - P ( T ∩ L ]

= 1 - ( .05 + .08 - .03 )

=  0 .9

Answer:

Step-by-step explanation:

y = 3x is an example of such an equation.

Answer:

D for Khan Academy. :p

Hope it helps :)

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write equation

4(x + 2) = x - 4

Step 2: Distribute

4x + 8 = x - 4

Step 3: Subtract 8 on both sides

4x + 8 - 8 = x - 4 - 8

4x = x - 12

Step 4: Subtract x on both sides

4x - x = x - x - 12

3x = 12

Step 5: Divide both sides by 3

3x/3 = 12/3

x = 4

Final Answer:

x = -4

Step-by-step explanation:

step 1 Simplify both sides of the equation:

4(x + 2) = x - 4

(4)(x) + (4)(2) = x + (-4)

4x + 8 = x + (-4)

step 2 Subtract x from both sides:

4x + 8 - x = x - 4 - x

3x + 8 = -4

step 3 Subtract 8 from both sides:

3x + 8 - 8 = -4 - 8

3x = -12

last step Divide both sides by 3:

3x      -12

___ = ___

 3         3

x = -12/3

x = -4

:)

Answer:

- 328

Explanation:

16*2-3(2*6+12)*5 = 32 - 3(12+12)*5 = 32-3*24*5 = 32-360 = - 328

Answer: The answer is 11,020.

Step-by-step explanation:

Do the equation one step at a time:

1. 16 times 2 = 32

2. 32 - 3 = 29

3. (2 ^ 6 + 12) = 64 + 12 = 76

4. (29)(76) = 2,204

5. (2,204) times 5 = 11,020.

Hence, your answer.

Answer:

the answer is -4

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = - 3.5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{1(x - 2) = - 5.5}[/tex]

Distribute 1 through the parentheses

⇒[tex] \sf{x - 2 = - 5.5}[/tex]

Move -2 to right hand side and change it's sign

⇒[tex] \sf{x = - 5.5 + 2}[/tex]

Calculate

⇒[tex] \sf{x= - 3.5}[/tex]

Hope I helped!

Best regards!!

x is -3.5

1 (x - 2) = -5.5

Remove the brackets by dividing both sides by 1:

(x - 2) / 1 = -5.5 / 1

x - 2 = -5.5

Take -2 to the other side so that you can be left with x. When you do this, the sign will change from negative to positive:

x = -5.5 + 2

x = -3.5

x is therefore -3.5

Find out more at https://brainly.com/question/17289207.

Answer:

23,817$

Step-by-step explanation:

And you will have earned 13,817 in interest.

The final amount of money $10000 of 7.5% compound interest for 12 years is $23817.79.

Compound interest is applicable when there will be a change in principal amount after the given time period.

If you give anyone $500 at the rate of 10% annually then $500 is your principle amount.

Given that,

Principle amount P = $10000

Rate of interset R = 7.5% = 0.075

Time period T = 12 years

Compound interest formula ;

A = P[1+R]^T

A = 10000[1+0.075]¹²

A = $23817.79

Hence "The final amount of money $10000 of 7.5% compound interest for 12 years is $23817.79".

For more information about compound interest,

brainly.com/question/26457073

#SPJ2

Answer:

[tex]\Large \boxed{\frac{42}{23}}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{21}{40} \div \frac{23}{80}[/tex]

Performing reciprocal of the second fraction.

[tex]\Rightarrow \displaystyle \frac{21}{40} \cdot \frac{80}{23}[/tex]

Multiplying both fractions.

[tex]\Rightarrow \displaystyle \frac{1680}{920}[/tex]

Simplifying the fraction.

[tex]\Rightarrow \displaystyle \frac{42(40)}{23(40)}[/tex]

[tex]\Rightarrow \displaystyle \frac{42}{23}[/tex]

Answer:

[tex]48\sqrt{x}a^{8}[/tex]

Step-by-step explanation:

[tex]\sqrt{x}48a^{8}[/tex]

rewrite using communitive property of multiplication:

[tex]48\sqrt{x}a^{8}[/tex]

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\sqrt[48]{xa^8} \; \, \dfra\;\ \;\; \dfrac{}{} $ } }\\[/tex]

Step-by-step explanation:

[tex]\sqrt{x48a^8}[/tex]

There are no variables we will just rewrite this as:

[tex]\sqrt[48]{xa^8}[/tex]

Hope this helps!

Answer:

X = 2 or X = -10

Step-by-step explanation:

We know either3x+12=18or3x+12=−18

3x+12=18(Possibility 1)

3x+12−12=18−12(Subtract 12 from both sides)

3x=6

3x

3

=

6

3

(Divide both sides by 3)

x=2

3x+12=−18(Possibility 2)

3x+12−12=−18−12(Subtract 12 from both sides)

3x=−30

3x

3

=

−30

3

(Divide both sides by 3)

x=−10

Answer:

x=2 or x=−10

Answer:

     {2, 3, 4, 5, 6}

Step-by-step explanation:

You are expected to determine the digits of the given number, then list them between curly brackets. Even if a digit appears in the number more than once, you need list it only once. It is helpful to sort the elements of a set, but not necessary.

__

The digits are 5, 3, 2, 6, 4, 6.

In sequence, the unique digits are 2, 3, 4, 5, 6.

The set of digits in the number is ...

  {2, 3, 4, 5, 6}

_____

"Roster notation" means you simply list the elements of the set.

Answer:

infinite solutions, true for all y

Step-by-step explanation:

6y+8=6(y+4)−16

Distribute

6y+8 = 6y+ 24 - 16

Combine like terms

6y+8 = 6y+8

Subtract 6y from each side

8=8

Since this is always true, the equation is true for all real y

Answer:

True of all values of 'y'.

Step-by-step explanation:

[tex]6y+8=6(y+4)-16\\\\6y+8=6y+24-16\\\\6y+8=6y+8\\\\6y+8-8=6y+8-8\\\\6y=6y\\\\6y-6y=6y-6y\\\\\boxed{0=0}[/tex]

Hope this helps.

Answer:

xc + -4x

Step-by-step explanation:

The distributive property allows the multiplication of a sum by multiplying each addend separately and then sum those products.

With this in mind, let's apply the distributive property to the expression:

x (c - 4)

= x * c + x * (-4)

= xc +  -4x

Cheers.

Answer:

Degree 4

Step-by-step explanation:

Expression:

3x^3 + 3x^2y^2 - y^2​

So the expression has degree 4 as per the highest degree of the terms

Answer:

-2x³ - 2y² + z⁴

Step-by-step explanation:

Step 1: Write out expression

x³ - 2y² - 3x³ + z⁴

Step 2: Combine like terms (x³)

-2x³ - 2y² + z⁴

Answer:

Step-by-step explanation:

Using the formula for calculating the speed expressed as;

Speed = Distance covered/Time taken

If I ride in a car for 225 miles at an average speed of 60 miles per hour then the distance covered = 225 miles and the speed of the car = 60miles/hour

Substituting the given parameters into the formula above to get the time taken;

60 = 225/time

cross multiply

60*time = 225

Divide both sides by 60;

60*time/60= 225/60

Time = 3.75 hours

Hence the amount of hours taken during the trip is 3.75hours

Answer:

52630

Step-by-step explanation:

Simplify all the words into numbers.

30 + 2000 + 40000 + 600 + 10000

Add.

52630

Answer:

The reciprocal is simply the opposite, so flip it. For te first one, since its a negative, flip it to make it positive, and flip 1/5 to 5/1. I hope this helps

Step-by-step explanation:

Answer:

[tex]x=-4\pm\sqrt5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]x^2+8x+11=0[/tex]

First, subtract 11 from both sides:

[tex]x^2+8x=-11[/tex]

Now, add the c term. Divide 8 by 2 and then square it:

[tex](x^2+8x+16)=-11[/tex]

What we do to one side we must also do to the other. Thus:

[tex](x^2+8x+16)=-11+16[/tex]

Simplify:

[tex](x^2+8x+16)=5[/tex]

Perfect Square Trinomial:

[tex](x+4)^2=5[/tex]

Take the square root:

[tex]x+4=\pm\sqrt5[/tex]

Subtract 4:

[tex]x=-4\pm\sqrt5[/tex]

And that's our answer :)

Answer:

a) P = 0.274925

b) required confidence interval = (0.2705589, 0.2793344)

c) FALSE

d) FALSE

e) TRUE

f) There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Step-by-step explanation:

a)

PROBABILITY

since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is  10,997

so the required Probability will be 10,997 divided by 40,000

P = 10997 / 40000 = 0.274925

b)

To get 95% confidence interval for the parameter in question a

(using R)

>prop.test(10997,40000)

OUTPUT

1 - Sample proportion test with continuity correction

data: 10997 out of 40000, null probability 0.5

x-squared = 8104.5, df = 1, p-value < 2.23-16

alternative hypothesis : true p ≠ 0.5

0.2705589  0.2793344

sample estimate

p

0.274925

∴ required confidence interval = (0.2705589, 0.2793344)

c)

FALSE

This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.

d)

FALSE

Once again, this is a wrong interpretation of a confidence interval. The confidence interval tells us about the population parameter and not the sample statistic.

e)

TRUE

This is a correct interpretation of a confidence interval. It indicates that if we perform sampling with same sample size (40000) several times and calculate the 95% confidence interval of population proportion for each of them, then 95% of these confidence interval should contain the population parameter.

f)

The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.

There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Answer:

The steepness of the hill is a function of the speed of the sled.

Hope this helps :)

Answer:

Step-by-step explanation:

standard deviation σ =5000

Mean μ = 36500

X = 30000

Probability that tire fails to reach 30000 miles

P(< 30000) = P( z < (30000-36500) / 5000 )

= P ( z < - 1.3 )

= .0968 ( from z table )

refund per mile = .01

refund for 30000 mile = .01 x 30000 = 300

expected cost of promotion

= 300 x .0968

= 29.04

b )

refund of $50 is equivalent to shortage of milage by 50 / .01 = 5000 miles

Probability of miles less than 30000 - 5000 = 25000

P ( X < 25000 ) = P ( z < (25000 - 36500) / 5000 )

P ( z < - 2.3 )

= 0.0107 Answer .

Answer:

Irrational

Step-by-step explanation:

It would be a irrational number because it’s a crazy decimal/pi and you can’t determine what number comes next.

Answer: The value of x in a vertical angle is 25.

Step-by-step explanation:

So far the givens are:

a vertical angle with 5x + 4 degrees and 8x - 71 degrees

We know that all vertical angles are congruent. Therefore, we also know that the two given equations are equal. So knowing that, we can do:

5x + 4 = 8x - 71

Group like terms:

71 + 4 = 8x - 5x

75 = 3x

25 = x

Hence your answer.

Answer:

b- 6

c- 72 square root 2

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The slope of the line passing through two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (-2,5) and (3/2, 2)

The slope is

We have the final answer as

Hope this helps you

Answer:

C. 72

Step-by-step explanation:

-3 x -2 = 6

6 x 3 = 18

18 x 4 = 72

Answer:

Step-by-step explanation:

this question involves negative and positive

so simple