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katen-ka-za [31]
3 years ago
9

Factor by grouping: a^2 + 2a + 6a + 12=

Mathematics
1 answer:
kap26 [50]3 years ago
6 0

Answer:

<em>Answer is </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

{a}^{2} + 2 a + 6a + 12 = 0 \\   a(a + 2) + 6(a + 2) = 0 \\ (a + 6)(a + 2) = 0 \\ a =  - 6 \:  \:  \:  \:  \: (or) \:  \: a =  - 2

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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How many cm of framing are needed to make a picture frame with outside measurements 40 cm and 25 cm​
AnnZ [28]

Answer:

For average sized artwork (about 11x14" to 30x20"), the common mat width is 2". If you artwork is smaller, you might consider a 1.75 or 1.5" mat.

Step-by-step explanation:

8 0
3 years ago
113, 183, 479, 120, 117 What is the mean, median and mode? Make sure to label each answer. Round any decimals to the tenths plac
slava [35]
Median is in the middle witch would be 479 and mode is 113
3 0
3 years ago
The ratio of the number of Mays necklaces to the number of Helen's necklace is 25:9. May has 100 necklaces. How many necklaces d
likoan [24]

Answer:

36

Step-by-step explanation:

25:9

25*4 = 100

9*4 = 36

6 0
3 years ago
A small gym in Biloxi, Mississippi, averages about 50 customers on weekdays with a standard deviation of 10. It is safe to assum
andreyandreev [35.5K]

Answer:

It is very unusual as the probability to get a sample average of 75 or more customers if the manager had not offered the discount is 0.006    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 10

We are given that the distribution of number of customers is a bell shaped distribution that is a normal distribution.

In an attempt to increase the number of weekday customers, the manager offers a $10 membership discount on 5 consecutive weekdays and  the sample mean of customers during this weekday period jumps to 75.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(sample average of 75 or more customers if the manager had not offered the discount)

P(x > 75)

P( x > 75) = P( z > \displaystyle\frac{75 - 50}{10}) = P(z > 2.5)

= 1 - P(z \leq 2.5)

Calculation the value from standard normal z table, we have,  

P(x > 610) = 1 - 0.994 = 0.006= 0.6\%

It is very unusual as the probability to get a sample average of 75 or more customers if the manager had not offered the discount is 0.006

b) Yes, the managers discount strategy worked as it increased the average number of customers from 50 customers to 75 customers.

3 0
3 years ago
There are 26.2 in a marathon .Write the number of miles using a fraction.
LUCKY_DIMON [66]
Partitioning the value 26.2

26.2 = 20+6+0.2

The decimal value 0.2 is read two tenth = 2/10

Writing 26.2 as mixed numbers

26.2=26 \frac{2}{10}

If we want to write this as an improper fraction, multiply 26 by 10 then add the 2 to get the numerator

26.2 = 26 \frac{2}{10}= \frac{262}{10}= \frac{131}{5}

7 0
3 years ago
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