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Tems11 [23]
3 years ago
13

What must be done before adding or subtracting fractions

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
4 0
Any type of symbol is what need to be answered first
Lerok [7]3 years ago
3 0
Find a common denominator.

Example: ¹⁄₂ + ²⁄₃

¹⁄₂(³⁄₃) + ²⁄₃(²⁄₂) (Let’s make it six)

³⁄₆ + ⁴⁄₆ = ⁷⁄₆ (Add now)

Here is a geometrical explanation for it. Imagine you have two pizzas. One pizza is bigger than the other. Both pizzas are cut into 8 equal slices. Is one of slice from the big pizza the same as one slice from the little pizza? Nope. The slice from the little pizza is smaller than the one from the big pizza. This is why you need a common denominator. One slice of the bigger pizza is not equal to one slice of the smaller pizza.

I hope this helps! Don’t hesitate to message me if you have any questions!
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Data is collected to compare two different types of batteries. We measure the time to failure of 12 batteries of each type. Batt
-Dominant- [34]

Using the t-distribution, it is found that since the <u>test statistic is greater than the critical value for the right-tailed test</u>, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

At the null hypothesis, it is <u>tested if it does not outlast by more than 2 hours</u>, that is, the subtraction is not more than 2:

H_0: \mu_B - mu_A \leq 2

At the alternative hypothesis, it is <u>tested if it outlasts by more than 2 hours</u>, that is:

H_1: \mu_B - \mu_A > 2

  • The sample means are: \mu_A = 8.65, \mu_B = 11.23
  • The standard deviations for the samples are s_A = s_B = 0.67

Hence, the standard errors are:

s_{Ea} = S_{Eb} = \frac{0.67}{\sqrt{12}} = 0.1934

The distribution of the difference has <u>mean and standard deviation</u> given by:

\overline{x} = \mu_B - \mu_A = 11.23 - 8.65 = 2.58

s = \sqrt{s_{Ea}^2 + s_{Eb}^2} = \sqrt{0.1934^2 + 0.1934^2} = 0.2735

The test statistic is given by:

t = \frac{\overline{x} - \mu}{s}

In which \mu = 2 is the value tested at the hypothesis.

Hence:

t = \frac{\overline{x} - \mu}{s}

t = \frac{2.58 - 2}{0.2735}

t = 2.12

The critical value for a <u>right-tailed test</u>, as we are testing if the subtraction is greater than a value, with a <u>0.05 significance level</u> and 12 + 12 - 2 = <u>22 df</u> is given by t^{\ast} = 1.71

Since the <u>test statistic is greater than the critical value for the right-tailed test</u>, it is found that there is enough evidence to conclude that Battery B outlasts Battery A by more than 2 hours.

A similar problem is given at brainly.com/question/13873630

7 0
3 years ago
$2000 was borrowed for 4 years with an interest rate of 3% compounded annually. What is the total amount owed at the end of the
kompoz [17]

Answer:

\$2,251.02  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the total amount owed  

P is the amount of money borrowed

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=4\ years\\ P=\$2,000\\ r=3\%=3/100=0.03\\n=1  

substitute in the formula above  

A=2,000*(1+\frac{0.03}{1})^{1*4}  

A=2,000*(1.03)^{4}  

A=\$2,251.02  

4 0
3 years ago
Read 2 more answers
Help khan academy!!!!
Anastaziya [24]

Answer:

I have khan academy

what grade is this

and subject

6 0
3 years ago
Read 2 more answers
HELP ASAP! Which of the following tables represents a linear function?
____ [38]

Table A, B and D are represents a linear function.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

There are 4 tables.

Now,

For Table A;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (2 - 5) / (- 1 - (-2))  (x - (-2))

⇒ y - 5 = - 3/1 (x + 2)

⇒ y - 5 = - 3 (x + 2)

⇒ y - 5 = - 3x - 6

⇒ y = - 3x - 1

For Table B;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (3 - 5) / (- 1 - (-2))  (x - (-2))

⇒ y - 5 = - 2/1 (x + 2)

⇒ y - 5 = - 2 (x + 2)

⇒ y - 5 = - 2x - 4

⇒ y = - 3x + 1

For Table C;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - (-2) = (- 1 - (-2)) / (3 - 3)  (x - 3)

⇒ y + 2 = 1/0 (x + 2)

⇒ y - 5 = ∞

Hence, It is not possible.

For Table D;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 0 = (-1 - 0) / ( 1 - 0)  (x - 0)

⇒ y - 0 = - 1/1 (x)

⇒ y = - x

Thus, Table A, B and D are represents a linear function.

Learn more about the equation of line visit:

brainly.com/question/18831322

#SPJ1

5 0
1 year ago
Maxi is trying to stack books on a shelf that is 18 inches tall. If the books are each 4/5 inch thick, how many can she stack?
kari74 [83]
I believe it should be 22½ or 22 books

You would need to divide 18 and ⅘

18 ÷ ⅘ = 22½

I hope this helps, even though I’m not totally sure :)
7 0
3 years ago
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