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Misha Larkins [42]
3 years ago
15

Which of the following expressions is equivalent to the expression 2(7x+3)

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer:

14x+6 and (7x+7)+(3+3)

Step-by-step explanation:

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Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
Leona [35]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is X: flexural strength of concrete beams.

Data:

7.3 6.8 8.6 9.7 11.6 9.7 6.8 7.7 11.8 7.4 8.1 8.7 6.3 7.9 7.0 7.9 7.8 6.5 6.3 7.0 7.5 7.7 7.2 11.3 9.0 10.7 5.1

a.

The point estimate of the mean value is the sample mean. You calculate it using the following formula:

X[bar]= ∑X/n= 219.40/27= 8.1259≅ 8.13

b)x

b.

The point estimate that divides the sample in 50%-50% is the measure of central tendency called Median(Me).

To reach the median you have to calculate it's position (PosMe)

For uneven samples PosMe= (n+1)/2= (27+1)/2= 14 ⇒ This means that the Median is the 14th observation of the data set.

So next is to order the data from lower to heighest and identify the value in the 14th position:

5,1 ; 6,3; 6,3; 6,5 ; 6,8; 6,8; 7; 7; 7,2; 7,3; 7,4 ; 7,5 ; 7,7 ; 7,7 ; 7,8 ; 7,9 ; 7,9 ; 8,1 ; 8,6 ; 8,7 ; 9 ; 9,7 ; 9,7 ; 10,7 ; 11,3 ; 11,6 ; 11,8

Me= 7.7

d) x tilde

c.

The point estimate of the population standard deviation is the sample standard deviation. The standard deviation is the square root of the variance, so the first step is to calculate the sample variance:

S^2= \frac{1}{n-1}*[sumX^2-\frac{(sumX)^2}{n} ]

∑X²= 1858.92

S^2= \frac{1}{26}*[1858.92-\frac{219.40^2}{27} ] = 2.926

S= √2.926= 1.71

The standard deviation is a measurement of variability, it shows how to disperse the data is concerning the sample mean.

d. This estimate describes the spread of the data.

I hope it helps!

7 0
3 years ago
Can anyone help me out with this answer?
Bogdan [553]

9514 1404 393

Answer:

  7×10⁻¹ +6×10⁻² +5×10⁻³

Step-by-step explanation:

Place value in any place-value number system increases by a factor of the base for each place to the left of the "decimal" point. It is reduced by a factor of the base for each place to the right of the "decimal" point.

For base-10 numbers, the powers of 10 are -1, -2, -3, ... as you go to the right of the decimal point. Hence the number 0.765 decomposes as ...

  7×10⁻¹ +6×10⁻² +5×10⁻³

3 0
2 years ago
A warehouse contains 7250 books in it. Books are being shipped from the warehouse such that the number of books decreased by 150
Lapatulllka [165]

Using an linear function, we have that:

  • The inequality is: -150D + 7250 < 2000
  • The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

  • A warehouse contains 7250 books in it, hence b = 7250.
  • Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.

Thus, the number of books each day is modeled by the following function:

B(D) = -150D + 7250

It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:

B(D) < 2000

-150D + 7250 < 2000

Then:

-150D < -5250

150D > 5250

D > \frac{5250}{150}

D > 35

The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

More can be learned about linear functions at brainly.com/question/24808124

7 0
2 years ago
Anjali spent $193 on shirts. Fancy shirts
11111nata11111 [884]

Answer:

it is 234

Step-by-step explanation:

8 0
3 years ago
How would the graph of the relation y=3x-2 change if the 3 and -2 were both doubled? 
Lena [83]
<u>y = 3x - 2</u>

-- The ' 3 ' is the slope. If you double it to ' 6 ', the line is steeper.

-- The ' -2 ' is the y-intercept. If you double it to ' -4 ', the line crosses the y-axis lower.

Choice <u>(a)</u> says that . . . "... steeper, and lower y-intercept".

6 0
3 years ago
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