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alexandr1967 [171]
3 years ago
12

What are the factors of the equation when it’s in factored form? 2a^2 + 8a - 15 = 3a - 3

Mathematics
1 answer:
elixir [45]3 years ago
5 0

Answer:

(2a+3 ) (a-4 )=0

Step-by-step explanation:

2a^2 + 8a - 15 = 3a - 3

Subtract 3a from each side

2a^2 + 8a-3a - 15 = 3a-3a - 3

2a^2 + 5a - 15 =  - 3

Add 3 to each side

2a^2 + 5a - 15+3 = 3 - 3

2a^2 -5a -12=0

(2a+3 ) (a-4 )=0  These are the factors

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=1/26

Step-by-step explanation:

In a 52 card deck there are 2 red 8's ( hearts and diamonds)

P(red 8) = number of red 8's / total

             =2/52

             =1/26

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The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.43 before the discount, and
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Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' loc
Igoryamba

Answer:

To dilate line F by a scale factor of 3 in the center of origin multiply points A and B by 3. For example, Point A(x*3,y*3).

Step-by-step explanation:

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3 years ago
A. How many students ride in a car, tricycle and the motorcycle in going<br>to school?​
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3 years ago
A recent Gallup poll found that 36% of U.S. teens aged from 13 to 17 years old have a computer with [(6)] Internet access in the
In-s [12.5K]

Answer:

Step-by-step explanation:

a) The population parameter is the population proportion.

b) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1028

p = 36/100 = 0.36

q = 1 - 0.36 = 0.64

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.1

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Therefore, the 99% confidence interval is

0.36 ± 2.58 × √(0.36)(0.64)/1028

The lower limit of the confidence interval is

0.36 - 0.039 = 0.321

The upper limit of the confidence interval is

0.36 + 0.039 = 0.399

Therefore, with 99% confidence interval, the proportion of U.S. teens aged from 13 to 17 years old that have a computer with Internet access in their rooms is between 0.321 and 0.399

c) for a margin of error of 1%, that is 1/100 = 0.01, then

0.01 = 2.58 × √(0.36)(0.64)/n

0.01/2.58 = √0.2304/n

0.00387596899 = √0.2304/n

Square both sides

0.00001502314 = 0.2304/n

n = 0.2304/0.00001502314

n = 15336

5 0
3 years ago
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