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Lunna [17]
2 years ago
14

State whether each equation is true or false 2(4+5)=13

Mathematics
2 answers:
Mandarinka [93]2 years ago
5 0
2(4+5)
2(9)
18

18 does not equal 13.
Final answer: False

Remember to solve by working within parentheses first according to the order of operations.
Sergeeva-Olga [200]2 years ago
4 0
False 2(4+5)=13 equal 18
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A person measured the depth of water in a bathtub at two minute intervals after the tap was turned on. Use the line of best fit
Leto [7]

Answer:

The Depth of water in the bathtub initially = 2 cm

Step-by-step explanation:

For this question, we want to f8nd the amount of water present in the bathtub at time t = 0 using line of best fit, that is, linear regression analysis.

The table provided shows that the depth of water in the bathtub (y) changes as time (x) progresses.

Time (min) (x) | 2 | 4 | 6 | 8 | 10 | 12 | | 14

Depth (cm) (y) | 8 | 15 | 29 | 37 | 39 | 49 | 55

Running the analysis on a spreadsheet application, like excel, the table of parameters is obtained and presented in the first attached image to this solution.

Σxᵢ = sum of all the independent variables (sum of all the time data)

Σyᵢ = sum of all the dependent variables (sum of all the depth data)

Σxᵢyᵢ = sum of the product of each dependent variable and its corresponding independent variable

Σxᵢ² = sum of the square of each independent variable (time data)

Σyᵢ² = sum of the square of each dependent variable (depth data)

n = number of variables = 7

The scatter plot and the line of best fit is presented in the second attached image to this solution

Then the regression analysis is then done

Slope; m = [n×Σxᵢyᵢ - (Σxᵢ)×(Σyᵢ)] / [nΣxᵢ² - (∑xi)²]

Intercept b = [Σyᵢ - m×(Σxᵢ)] / n

Mean of x = (Σxᵢ)/n

Mean of y = (Σyᵢ) / n

Sample correlation coefficient r: r =

[n*Σxᵢyᵢ - (Σxᵢ)(Σyᵢ)] ÷ {√([n*Σxᵢ² - (Σxᵢ)²][n*Σyᵢ² - (Σyᵢ)²])}

And -1 ≤ r ≤ +1

All of these formulas are properly presented in the third attached image to this answer

The table of results; mean of x, mean of y, intercept, slope, regression equation and sample coefficient is presented in the fourth attached image to this answer.

The linear regression equation obtained is then

y = 3.911x + 1.857

at a regression coefficient of 0.987 (the closer the value is to 1, the more accurate the equation obtained)

So, the Depth of water in the bathtub initially, that is, when t = x= 0,

y = 3.911x + 1.857

y = 3.911(0) + 1.857 = 1.857 cm = 2 cm to the nearest integer.

Hope this Helps!!!

3 0
3 years ago
Consider random samples of size 58 drawn from population A with proportion 0.77 and random samples of size 70 drawn from populat
fredd [130]

Answer:

Step-by-step explanation:

a) The formula for determining the standard error of the distribution of differences in sample proportions is expressed as

Standard error = √{(p1 - p2)/[(p1(1 - p1)/n1) + p2(1 - p2)/n2}

where

p1 = sample proportion of population 1

p2 = sample proportion of population 2

n1 = number of samples in population 1,

n2 = number of samples in population 2,

From the information given

p1 = 0.77

1 - p1 = 1 - 0.77 = 0.23

n1 = 58

p2 = 0.67

1 - p2 = 1 - 0.67 = 0.33

n2 = 70

Standard error = √{(0.77 - 0.67)/[(0.77)(0.23)/58) + (0.67)(0.33)/70}

= √0.1/(0.0031 + 0.0032)

= √1/0.0063

= 12.6

the standard error of the distribution of differences in sample proportions is 12.6

b) the sample sizes are large enough for the Central Limit Theorem to apply because it is greater than 30

8 0
2 years ago
What is the quotient of -8x∧6 over 4x∧-3 ??
Allushta [10]

Answer:

-2x^{9} is the quotient

Step-by-step explanation:

We have two expression -8x^6 and 4x^{-3}

We need to find quotient of this expression using exponent law.

First we write as quotient form,

\Rightarrow -\dfrac{8x^6}{4x^{-3}}

\Rightarrow -2x^{6-(-3)}                        (x^m\div x^n=x^{m-n})

\Rightarrow -2x^{6+3}

\Rightarrow -2x^{9}

Thus, -2x^{9} is the quotient of -8x^6 and 4x^{-3}.

8 0
3 years ago
At 11 hours, 42 minutes and 5 hours, 46 minutes ​
butalik [34]

Answer

https://zoom.us/j/99385592884?pwd=ajVOcXZSbGcyT3N3N0kxQm5Zek81Zz09er:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Solve for x.
AlladinOne [14]

Answer:

a is answer because of bodmas rule

6 0
3 years ago
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