Simplify. Assume that all variables are positive.

Answer:

Step-by-step explanation:

E =1.3

Answer:

D

Step-by-step explanation:

I did the test and got it right.

Answer:

Yes for:

x = 30

Step-by-step explanation:

Since 31 = x+1

Simplifying, 1 is deducted from 31 to get 30

This gives the two sides of the equation as 30 = x

Therefore, x = 30

This is a simple equation.  It can easily calculate the value of x given the value on the other side of the equation.  Therefore, x is a dependent variable in this system of equation.  And just like every system of equation, the simple equation problem requires that the two sides of the equation are always kept in balance or equilibrium.

Answer:

what do u need help with

Step-by-step explanation:

??

Answer:

50

Step-by-step explanation:

first of all thimk about how many 12s there is in 60 (which is 1hr=60)  and thats 5, so multiply 5 by 10 because in each 12 mins its 10 km which gives you 50 as the answer

Complete question :

The lifetimes of a certain type of calculator battery are normally distributed. The mean lifetime is 400 days, with a standard deviation of 50 days. For a sample of 6000 new batteries, determine how many batteries will last: 360 and 460 days

Answer:

0.67307

Step-by-step explanation:

Given that :

Mean, m = 400

Standard deviation, s = 50

Sample size, n = 6000

Obtain the standardized score :

Zscore =(x - m) / s

For X = 360

P(x < 360)

Zscore =(360 - 400) / 50

Zscore = - 40 / 50

Zscore = - 0.8

P(Z < - 0.8) = 0.21186

For X = 460

P(x < 460)

Zscore =(460 - 400) / 50

Zscore = 60 / 50

Zscore = 1.2

P(Z < 1.2) = 0.88493

P(Z < 1.2) - P(Z < - 0.8)

0.88493 - 0.21186

= 0.67307

Answer:

5a. Tip was 17.65%

5b. Total was $35.4

Step-by-step explanation:

5a.

Create the following equation:

17 + 17x = 20

17x = 3

x = 3/17

5b.

Find 18% of 30.

30 x 0.18 = 5.4

Add 5.4 to 30.

30 + 5.4 = 35.4

Answer:

f=3

Step-by-step explanation:

Answer: 0.091125

Step-by-step explanation:

Given : P(dog) = 0.45

If 3 households are selected randomly and with replacement and the ownership is mutually exclusive.

Then , probability that all three randomly selected households own a dog = [tex](0.45)^3=0.091125[/tex]

Hence, required probability = 0.091125

The probability that all three randomly selected households own a dog  is

0.091125.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 0.45^3[/tex]

= 0.091125

Learn more: brainly.com/question/17429689

Step-by-step explanation:

Let x represent the number of months for the cell phone plan.

Since Lucy is contributing, Linus does not have to pay the full cost.

Instead Linus will have to pay:

($45 + $65x) - ($15 + $20x)

= $30 + $45x.

If x = 6,

Linus will pay $30 + $45(6) = $300.

Slope=rise/run

y2-y1/x2-x1

Take any two co-ordinates

2-(-1)/-3-1

2+1/-3-1

3/-4

Answer:

√25 = 5

√64 = 8

√100 = 10

Step-by-step explanation:

The principal square root is the positive number square root

Answer:

he is correct. I got the question right on my assignment in edge

Step-by-step explanation:

Answer:

1 minute

Step-by-step explanation:

1/2 cm. times 2=1 cm.

1/2 minute times 2=1 minute

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

Answer:

Stratified Random sampling

Step-by-step explanation:

When a random observations are selected from a number of individual groups in a particular population, the type of sampling technique is called Stratified Random sampling. Stratified Random sampling begins with the partitioning or splitting or a population into subgroups. A number of random selection are then made from each of the subgroups to form a collection of larger samples. This is different from the simple random sampling technique which makes random selection directly from a larger sample or population without prior partitioning of the population. The different grades of students represents the individual stratum from which random selections are made.

Answer:

-3/4x

Step-by-step explanation:

down 3 left 4 rise/run

Answer:

The answer is below

Step-by-step explanation:

1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.

Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:

AC² = BC² + AB²

25² = AB² + 15²

AB² = 25² - 15²

AB² = 400

AB = √400

AB = 20 cm

Using sine rule:

[tex]\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o[/tex]

2)

Using Pythagoras:

hypotenuse² = 8² + 6²

hypotenuse² = 100

hypotenuse = √100

hypotenuse = 10

Using sine rule:

[tex]\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o[/tex]

Answer:

2x

Step-by-step explanation:

the absolute value will always be positive so the question comes down to      'x + x', which is 2x

Answer:

D

Step-by-step explanation:

You can divide each side length by two to get D

Answer:

The answer is D

Step-by-step explanation:

Answer: A = 30, B = 91, C = 59

Step-by-step explanation:

(2x-1)+(3x+1)+x = 180

2x-1+3x+1+x=180

6x=180

x=30

Answer:

48

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-(5y - 6) + 4(3 + 5y)

y = 2

Step 2: Simplify

Step 3: Evaluate

Question:

Donovan is playing a word game with letter tiles. Players earn 10 points for every word they make with the tiles., plus 5 extra points if a word has 6 or more letters. At the end of the game, 3 points are taken away for each tile not used. Write an expression to represent Donovan's total score if one of his words contains 6 letters.

Answer:

[tex]Total = 10w + 5 - 3t[/tex]

Step-by-step explanation:

Given

[tex]Points = 10[/tex]

[tex]Extra\ Point = 5[/tex]

[tex]Taken\ Away = 3[/tex]

Required

Represent as an expression

Represent the words with w

So, the total points for w words is:

[tex]w\ Points = 10*w[/tex]

[tex]w\ Points = 10w[/tex]

Also, he will earn the extra point because his 1 word contain 6 letters.

So, the new point is:

[tex]New\ Point = w\ Point + 1 * Extra\ Point[/tex]

[tex]New\ Point = 10w + 1 * 5[/tex]

[tex]New\ Point = 10w + 5[/tex]

Lastly, represent the number of tiles remaining with t.

3 points are taken away for 1 tiles left

3*t points will be taken away for t tiles left

So, Donovan total points is:

[tex]Total = 10w + 5 - 3 * t[/tex]

We subtracted because the points are taken away

[tex]Total = 10w + 5 - 3t[/tex]

This question is incomplete, the complete question is;

A certain organization reported the following scores for two parts of the scholastic Aptitude test ( SAT)

Evidence-based Reading and writing  : 533

Mathematics                                           : 527

Assume the population standard deviation for each part is σ = 100.

What is the probability a sample of 66 test takers will provide a sample mean test score within 10 points of the population mean of 533 on the Evidence-based Reading and Writing part of the test?

Answer: the required probability is 0.582

Step-by-step explanation:

Given that;

Population mean = 533

sample size n = 66

population standard deviation σ = 100

σ of x bar = 100/√66 = 12.3091

Normal distribution with mean 533 and SD of 12.3091

P( 523 <x< 543 )

Z = 10 / 12.3091

Z = 0.8124, -0.8124

P( z < 0 0.8124) - P( z < -0.8124)      { from table}

⇒  0.7910 - 0.2090

= 0.582

Therefore, the required probability is 0.582

Answer:

36 minutes

Step-by-step explanation:

Given that:

The length of run = 8 miles

Average speed of Pepe = 4.5 minutes per minute

Average speed of Paula = 7.5 minutes per minute

To find:

Minutes taken by the faster runner to finish the 8 mile run?

Solution:

First of all, let us have a look at the relation between Time and Speed.

[tex]Speed = \dfrac{Distance}{Time}[/tex]

If the distance is a constant, then

[tex]Speed \propto \dfrac{1}{Time}[/tex]

i.e. Speed is inversely proportional to time.

That means faster runner will take smaller amount of time.

So, faster runner is Pepe who is taking lesser time.

Time taken to complete 1 mile = 4.5 minutes

Time taken to complete 8 miles = 4.5 [tex]\times[/tex] 8 minutes = 36 minutes

So, the faster runner i.e. Pepe takes 36 minutes.

Answer:

37-11+7+5-20=18

Step-by-step explanation:

Answer:

-37-11+7+5-20

Answer:

D. (1,4) this is the correct answer

Answer:

Vernon

Step-by-step explanation:

Answer:

Vermon

Step-by-step explanation:

Vermon walked further bc

 5.0

- 4.2

= 0.8

so vermon walked .8 of a mile further than hillary

Answer:

Scores between 34 and 70 on the fourth test will give Paul a C for the semester.

Step-by-step explanation:

The average is given by the sum of all scores divided by the number of scores.

In this question:

Sum of all scores: 75 + 80 + 91 + x = 246 + x

Number of tests : 4

Grade of 70:

[tex]\frac{246 + x}{4} = 70[/tex]

[tex]246 + x = 280[/tex]

[tex]x = 280 - 246[/tex]

[tex]x = 34[/tex]

Grade of 79:

[tex]\frac{246 + x}{4} = 79[/tex]

[tex]246 + x = 316[/tex]

[tex]x = 316 - 246[/tex]

[tex]x = 70[/tex]

Scores between 34 and 70 on the fourth test will give Paul a C for the semester.

Answer:

Answer is -483

Step-by-step explanation:

hope this helps