What is the positive solution to the equation 2x^2 = 72?

Answers

Answer 1

Answer:

x= 6

Step-by-step explanation:

6*6=36*2=72

Answer 2
2x^2=72
x^2=36
x=±6
x=6
x=-6

Related Questions

5/8
6 ft
9 ft
Find the area of the shape

Answers

Answer:

33.75 or rounded to the nearest tenth: 33.8

Identify the range of the following data set.
20, 22, 58, 48, 32, 20, 23

Answers

The answer is 38 since range=high - low = 58-20

The prices (in dollars) for a particular model of digital camera with 6.0 megapixels and an optical 3X zoom lens are shown below for 10 online retailers. Estimate the true mean price for this particular model with 93% confidence. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.
225 236 217 202 231 185 193 185 245 217

Answers

Solution :

Let [tex]$x_i$[/tex] represents the prices for the digital camera.

              [tex]$x_i$[/tex]                   [tex]$x_i^2$[/tex]

           225              50625

           236              55696

            217               47089

           202              40804

           231               53361

           185               35225

           193               37249

           185               34225

           217               47089

[tex]$\sum x_i = 2136$[/tex]       [tex]$\sum x_i^2 = 460388$[/tex]

Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]

                 [tex]$=\frac{2136}{10}$[/tex]

                 = 213.6

Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]

                     [tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]

                    = 46038.8 - 45624.96

                    = 413.84

Therefore, standard deviation,

[tex]$\sigma = \sqrt{Var}$[/tex]

   [tex]$=\sqrt{413.84}$[/tex]

   = 20.343

Now to find the 93% confidence interval, the formula us

[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

For 93%, the value of z is 1.81

∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]

      [tex]$=213.6 \pm 11.6438$[/tex]

Therefore, lower bound = 213.6 - 11.6438

                                        = 201.9562

                  Upper bound = 213.6 + 11.6438

                                         = 225.2438

∴ [tex]$201.9562 < \mu < 225.2438$[/tex]

or [tex]$202< \mu < 225.2$[/tex]

       

Buteyko method, scope of inference. Exercise introduces a study on using the Buteyko shallow breathing technique to reduce asthma symptoms and improve quality of life. As part of this study 600 asthma patients aged 18-69 who relied on medication for asthma treatment were recruited and randomly assigned to two groups: one practiced the Buteyko method and the other did not. Those in the Buteyko group experienced, on average, a significant reduction in asthma symptoms and an improvement in quality of life.
(a) Identify the population of interest and the sample in this study.
(b) Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.
If the students in this sample can be considered representative of the population of interest, then the results___, _____generalizable. Additionally, since the study is____, _____the findingss____, _____be used to establish causal relationships.

Answers

WAY to much to read,thanks for the points and have a good day

How many six letter passwords can be made using the letters a through Z if repetition of letters is allowed

Answers

Answer:

308915776 six-letter passwords are possible with repetitions

Step-by-step explanation:

Since repetition is allowed, this means there are 26 possible choices for the first letter of the password, 26 possible choices for the second letter of the password, and so on until the sixth letter.

This can be represented as 26^6=308915776

With repetition 26⁶ passwords can be formed using the letters A to Z taken six at a time.

What are permutation and combination?

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, The six letter passwords are formed using the letters A through Z

with repetition is Nⁿ, Where N is the total number of letters and n is is the number of letters taken at a time.

Therefore it would be,

= 26⁶ passwords.

learn more about permutation and combination here :

https://brainly.com/question/28720645

#SPJ2

Fran baked 12 lemon tarts for her son, Bob. He gobbled up 4 tarts. What fraction of lemon tarts did bob eat?

Answers

Answer:

One third or 1/3

Step-by-step explanation:

1/3 simplified or 4/12

In rectangle ABCD,If EC=13 find BD

Answers

Answer:

[tex]BD = 26\\[/tex]

Step-by-step explanation:

Given

[tex]EC = 13[/tex]

Required

Find [tex]BD[/tex]

In the given rectangle.

AC and BD are the diagonals.

This implies that:

[tex]AC = BD[/tex]

AC is calculated as:

[tex]AC = AE + EC[/tex]

Where

[tex]AE = EC[/tex]

So:

[tex]AC = EC + EC[/tex]

[tex]AC = 13+13[/tex]

[tex]AC = 26[/tex]

Recall that: [tex]AC = BD[/tex]

[tex]BD = 26\\[/tex]

What is the value of 3AB when a equals five and B equals six

Answers

3AB = 90

comment for explanation

Answer:

90

Step-by-step explanation:

3AB = 3 (5)(6)

3AB = 3 x 30

3AB = 90

Juan has 2 1/4 yards of ribbon to make bows. Each bow is made from a piece of ribbon that is 1/4 yard long. How many bows can Juan make?

Answers

Answer:

9 bows

Step-by-step explanation:

Take the amount of ribbon and divide by the amount needed per bow

2 1/4 ÷ 1/4

Change the mixed number to an improper fraction

(2*4 +1)/4 ÷1/4

9/4 ÷1/4

Copy dot flip

9/4 * 4/1

9

9 bows

Given angle DEF : angle RST, find the scale factor.

Answers

The scale factor is the bigger over the smaller, so [tex]\frac{4}{3}[/tex] is the scale factor.

To find x, we just use a proportion Biggest to Smallest:

[tex]\frac{4}{3}=\frac{16}{x}[/tex]

4x = 48

x = 12

Collect like terms and then arrange them in descending order.
- 4x + 8x? - 2x + 3x? + 1

Answers

Answer:

i think the answer is 5x+1 that how i was taught srry if its wrong

NEED HELP IN LESS THAN 5 MINUTES!!!


Sara has taken four math tests so far this year. She has scored a 93, 96, 85, and 87. What score does she have to get on her fifth math test for her mean test score to be AT LEAST a 91.

Answers

95 is the answer just add everything and plug in random numbers

Answer:

At least a 94

Step-by-step explanation:

The seventh-grade class needs to earn money for a trip to the amusement park. Of the 160 seventh-grade students, 60% participate in the fundraiser. How many students participate in the fundraiser?

Answers

We can use the formula: is/of = %/100.

% = 60

of = 160

[tex]\frac{x}{160}=\frac{60}{100}[/tex]

100x = 9600

x = 96

96 students participated in the fundraiser.

Brainliest for correct answer asap

Answers

Answer:

D

Step-by-step explanation:

1/4^3 (the last one) is correct

help due tonight.. *no links please*

Answers

Answer:

supplementary angle = angle 2 and angle 3

vertical angle = angle 2 and angle 4

hope it helps

She starts at 37.
She makes a 10 by jumping 3 to 40.
Then she jumps 4 more to 44
Which equation did Kayleigh solve?
A. 37 - 7 = 30
B. 37 + 7 = 44
C. 37 + 3 = 40
D. 37 + 4 = 41

Answers

Answer:

B. 37 + 7 = 44

Step-by-step explanation:

If she jumps 4 more after jumping 3 to 40, means it's 4 + 3 = 7 and it reaches 44.

B is the answer 37 + 7 = 44

Solve for x.
5(x + 1) = 4(X + 8)
Ox= 37
Ox=7
Ox=27
Ox=17
Help please

Answers

Answer:

27

Step-by-step explanation:

10 POINTS FOR THE CORRECT ANSWER PLEASE HELP

Answers

Answer:

Step-by-step explanation:

The Pythagorean theorem says:

[tex]a^2+b^2=c^2[/tex]

where a and b are the two legs of the triangle and c is the hypotenuse.  Here, let's say a = 6 and b = [tex]\sqrt{13}[/tex]. We then get the following equation:

[tex]c^2= (6)^2+(\sqrt{13})^2=49[/tex]

So c = 7. Technically, c can also equal -7 since (-7)^2 = 49 as well but that does not apply here because a side length cannot be <0. So 7 is the answer.

Find P(4).
A 1/8
B 1/4
C 1/2

Answers

The correct answer would be A. There is only a 1/8th percent chance of the spinner landing on 4.

what is the distance of 120 and -5 on a number line

Answers

Answer:

the distance between-5 to 120 on a number line is 124

Rick kept track of wins and losses for each game attempt in the following table.

Game Number of Wins Number of Losses
Get-It-Rolling (A) 26 173
Bag-of-Tokens (B) 54 141
Pick-Your-Tile (C) 17 175

Select the correct statement.

A.
The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.
B.
Only the results from game B align closely with the theoretical probability of winning that game.
C.
Only the results from game A align closely with the theoretical probability of winning that game.
D.
The results from both game B and game C align closely with the theoretical probability of winning those games, while the results from game A do not.

Answers

Answer:

The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.

Step-by-step explanation:

Given the data:

Game Number of Wins Number of Losses

Get-It-Rolling (A) 26 173

Bag-of-Tokens (B) 54 141

Pick-Your-Tile (C) 17 175

EXPERIMENTAL PROBABILITY:

Game A :

Number of games played = 26 + 173 = 199

Experimental probability :

Probability of winning = number of wins / number of games played = 26 / 199 = 0.1306

Theoretical probability :

1 / 8 = 0.125

Game B :

Number of games played = 54 + 141 = 195

Experimental Probability of winning = number of wins / number of games played = 54 / 195 = 0.2769

Theoretical probability = 1 / 7 = 0.1429

Game C :

Number of games played = 17 + 175 = 192

Experimental Probability of winning = number of wins / number of games played = 17 / 192 = 0.0885

Theoretical probability = 1 / 12 = 0.08333

From the results, we can see that the results from both game A and game C align closely with the theoretical probability of winning those games.

Plsss this is timed!

Answers

Answer:

c i think ???

Step-by-step explanation:

I think it’s D???

sorry if it’s wrong

Find the slope of the line through the two points. (3, 7) and (4, 9)

Answers

Answer:

2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-7)/(4-3)

m=2/1

m=2

Amy purchase n notebooks. They were 4 dollars each. Write an equation to represent the total cost C that Amy made.

Answers

4n= C should be your answer
The answer is:4 x n= C

Choose all that are true. A square is a

Answers

A square is a Shape.
Because it wanted to be one

Fill in the missing parts. Then determine which bowl contains more sodium.

Soup A

Sodium(mg) 720
Ounces 6 1
Soup B

Sodium(mg) 600
Ounces 4 1
Which bowl contains more sodium per ounce? ( A or B)

Answers

Answer:

Soup B

Step-by-step explanation:

Given :

Soup A:

Sodium(mg) 720

Ounces 6 1

Soup B :

Sodium(mg) 600

Ounces 4 1

To Obtian the amount of sodium per ounce in each of soup A and B

Soup A :

Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce

Soup B:

Sodium per ounce = 600 mg / 41 = 14.634mg / ounce

Hence. SOUP B contains more soudiun per ounce

Find x. Round to the nearest tenth. Please help with my geometry!! I will have a couple more posted after this also :(

Answers

9514 1404 393

Answer:

  x = 4.9 cm

Step-by-step explanation:

The product of segment lengths is the same for each chord:

  (7 cm)(7 cm) = x(10 cm)

  x = (49 cm^2)/(10 cm)

  x = 4.9 cm

Burger town sells cheeseburger for $7.95 each plus an additional $1.00 for each topping, Which of the following equations vest represents the cost, c , of a cheeseburger?​

Answers

Answer:

No equations given but the answer is c=1x+7.96

Step-by-step explanation:

find the volume of a figure. Use 3.14 for pi and round to the nearest hundredth, if necessary​

Answers

9514 1404 393

Answer:

  1487.31 yd³

Step-by-step explanation:

The volume of the composite figure is the sum of the volumes of a hemisphere of radius 7 yd, and a cylinder of the same radius and height 5 yd.

The volume of a sphere is 4/3πr³. The volume of a hemisphere is half that.

The volume of a cylinder is πr²h.

The total volume of this figure is ...

  V = (2/3)πr³ + πr²h

  V = πr²(2/3r +h)

  V = (3.14)(7 yd)²(2/3·7 yd +5 yd) = 3.14·49·29/3 yd³ ≈ 1487.31 yd³

The volume of the figure is about 1487.31 yd³.

Answer:

4187.31 yd³ is thr volume of a fugure

Read each problem and decide what operation you
use to evaluate it. Then write the equation and solve
D1. The area of a rectangle is 14. sq cm
and one side is 4 cm. How long is the
other side?

Answers

Answer:

b = 3.5 cm

Step-by-step explanation:

Given that,

The area of a rectangle, A = 14. sq cm

The length of one side, l = 4 cm

We need to find the length of another side. The formula for the area of a rectangle is given by :

A = lb

So,

[tex]14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm[/tex]

So, the length of the other side is equal to 3.5 cm.

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