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lyudmila [28]
2 years ago
14

Solve the following by factoring 4x² + 12 =7x

Mathematics
1 answer:
LiRa [457]2 years ago
3 0

Answer:

4x² + 12 = 7x

4x² + 12 - 7x = 0

use the quadratic formula and get your answer!

Step-by-step explanation:

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Look at picture, answer quick please
Tpy6a [65]

Step-by-step explanation:

1. C = the graphing is slowly increasing, then he walks across the top so it is flat

2. D = it started out slow and gradually got higher, which is what the story said

3. H = he had to stop walking, and there is a part of no movement in the graph H

4.

6 0
1 year ago
According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 20 p
Feliz [49]

Answer:

Step-by-step explanation:

a )

sample mean = sum total of given data / no of data

= 415.35 / 20 = 20.76

To calculate the median we arrange the data in ascending order and take the average of 10 th and 11 th term .

= 20.50 + 20.72 / 2

= 20.61

b ) To calculate the 10% trimmed mean , we neglect the largest 10% and smallest 10 % data and then calculate the mean . Here we neglect the first two smallest and last two greatest

(18.92 + 19.25 ..... + 22.43 + 22.85) / 16

= 20.74

c )

We can easily plot the data on number line from 17 to 24

d )

Maximum value of data set = 23.71 and minimum value is 18.04

mean is 20.76 , median is 20.61 and trimmed mean is 20.74

They are between maximum and minimum values of given data . Hence there is no outliers .

4 0
2 years ago
What is the value of s in the equation 4(2s − 1) = 7s + 12?
scZoUnD [109]
The answer would be letter B
8 0
1 year ago
Read 2 more answers
Matthew ran 3/8 mile and then walked 7/10 mile. Which pair of fractions can he use to find how far he went in all? (A 15/40 and
Strike441 [17]
Before we could add these numbers, 3/8 and 7/10 need a common denominator. Both 8 and 10 go into 40.

8 goes into 40 five times
3/8= (3*5)/40 = 15/40

10 goes into 40 four times
7/10= (7*4)/40= 28/40

ANSWER: A) 15/40 and 28/40

Hope this helps! :)
7 0
2 years ago
Read 2 more answers
In a study of hormone supplementation to enable oocyte retrieval for assisted reproduction, a team of researchers administered t
olchik [2.2K]

Answer:

Note: This question is incomplete and complete question is posted down below with multiple choice questions and from Option 3 is correct

Step-by-step explanation:

Note: This question is incomplete and it is a multiple choice question. With the following multiple choices to select from.

1. The researchers expect that 80% of all similarly constructed intervals will contain the true mean number of oocytes that could be retrieved from the population of women aged 36-40 years.

2. The researchers expect that 80% of all similarly constructed intervals will contain the mean number of oocytes retrieved in the sample of 98 women aged 36-40 years.

3. There is a 80% chance that the the true mean number of oocytes that could be retrieved from the population of women aged 36-40 years is uniquely contained in the reported interval.

4. The researchers expect that 80% of all similarly constructed intervals will contain the range of the number of oocytes that could be retrieved from the population of women aged 36-40 years.

we have to select the appropriate answer from the above options.  

So, in order to choose the correct option, first we need to understand the confidence interval.

Confidence Interval is a range of value for which are pretty sure our true values will lie in that interval. For example, in this question, we have 80% confidence interval and it means there is a 80% confident chance that our true values will lie in that 80% interval. Let's calculate it.

We have following data given from the question.    

Sample = 98

Mean = 9.7

Confidence Interval = 80%

Z = 1.282

And formula for confidence interval is :

Mean ± Z x SD/\sqrt{n}

For this equation, we have all quantities except SD which is standard deviation. Let's calculate it first.

Standard deviation is square root of variance and so we need to calculate variance first.

Mean = Sum/ total number

9.7 = Sum/ 98

Sum = 950.6

For variance we will use this sum.

s² = (950.6 (1 - 9.7)²) ÷ (98-1)

s² = 741. 762 = Variance.

Let's calculate Standard deviation

SD = \sqrt{variance}

SD = \sqrt{741.762}

SD = 27.23 = Standard Deviation.

Now, we have complete data to calculate range of values for the confidence interval of 80%

Mean ± Z x SD/\sqrt{n}

Here, Z is the Z-score and it has predetermined value for different confidence intervals and here in our case for 80% , Value of Z = 1.282

Now, by just plugging in the values in to above formula we will get range of values or confidence interval of 80% in which our true value will likely to lie.

9.7 ± 1.282 x 27.23/\sqrt{98}

9.7 ± 3.52 Or

9.7 + 3.52 = 13.22

9.7 - 3.52 = 6.18

Rangle of Values with confidence interval of 80% = (6.18 to 13.22).

Which means that, our true mean will most likely lie in this interval.

So, the option 3 is correct which meets the correct definition and interpretation of the problem.  

6 0
2 years ago
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