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Archy [21]
2 years ago
13

Factorize y2-5y+6 by factor theorem

Mathematics
2 answers:
fgiga [73]2 years ago
5 0

Answer: (y - 2) (y -3)

Step-by-step explanation:

Aleksandr-060686 [28]2 years ago
4 0

Answer:

(y-3)(y-2)

Step-by-step explanation:

1.  y2-5y+6  Use the sum-product pattern

2. y2-2y-3y+6 Common factor from the two pairs

3. y(y-2)-3(y-2) Rewrite in factored form

4. (y-3)(y-2)   Solution

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Help me to do this math question ​
viva [34]

Answer:

b) q

c) 7a

d) 2y

Step-by-step explanation:

b) q must be added to p to get p+q

c) 12a-7a = 5a

d) 2y is subtracted from 3x

5 0
3 years ago
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Lena is converting StartFraction 2 Over 25 EndFraction to a percent. What should she multiply the numerator and denominator of t
Sphinxa [80]

Answer:

Numerator 100

denominator 1

Step-by-step explanation:

Here, we want to help Lena convert the fraction to percent

To convert to percent, we have to multiply the whole fraction by 100

But in this case, it is same as 100/1

Thus, we are multiplying the numerator by 100 and the denominator by 1 to find the percentage

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3 years ago
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Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a ran
snow_tiger [21]

Answer:

First question: LCL = 522, UCL = 1000.5

Second question: A sample size no smaller than 418 is needed.

Step-by-step explanation:

First question:

Lower bound:

0.36 of 1450. So

0.36*1450 = 522

Upper bound:

0.69 of 1450. So

0.69*1450 = 1000.5

LCL = 522, UCL = 1000.5

Second question:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The project manager believes that p will turn out to be approximately 0.11.

This means that \pi = 0.11

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The project manager wants to estimate the proportion to within 0.03

This means that the sample size needed is given by n, and n is found when M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}

\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2

n = 417.9

Rounding up

A sample size no smaller than 418 is needed.

6 0
3 years ago
Which expression is represented by the model?<br> x-3<br> x+3<br> -X-3<br> -X+3
Crazy boy [7]
-x +3 i think , i hope that helps
5 0
3 years ago
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Use the given information to draw a box-and-whisker plot of the data set
drek231 [11]

Answer:

The box-and-whisker plot of this distribution is presented in the attached image to this solution.

Step-by-step explanation:

A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.

A box and whiskers plot shows 5 major information about the distribution of data. It shows:

- The maximum variable.

- The minimum variable.

- The Median.

- The first quartile.

- The third quartile.

Further info such as the range and Inter quartile range can then be obtained from this 5-number summary.

The elements of the box plot are described thus;

The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.

The horizontal line inside the box is the median.

The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.

Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.

The required boxplot for this question is given in the attached image to this solution.

The median for the boxplot isn't provided, but it was assumed to be midway between the first and third quartile.

Hope this Helps!!!

7 0
3 years ago
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