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3 years ago

What is the simplified form of this expression? 7a2 + 10a − 3a − 2a2

Mathematics

2 answers:

nikklg [1K]3 years ago

6 0

Answer:

What is the simplified form of this expression?

7a2 + 10a − 3a − 2a2

Step-by-step explanation:

7a2 + 10a − 3a − 2a2

Combine like terms

742 + 10a - 3a - 2a2

742 + 7a - 2a2

solution=

5a2 + 7a

oee [108]3 years ago

4 0

5a2+7a
explanation
just add like terms

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Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let 'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

5 0

3 years ago

quezlet: A survey of third- to twelfth-grade students with a sample size of 2026 found that they devoted an average of 1 hour

Maurinko [17]

Answer:

Population is all students from grades 3-12.

Sample is the students who participated in the survey.

Step-by-step explanation:

Given : A survey of third- to twelfth-grade students with a sample size of 2026 found that they devoted an average of 1 hour and 46 minutes per day to using entertainment media.

To find : Identify the population and the sample.

Solution :

The population is defined as it contain all individuals which we want to collect the information.

So, the population consists of all third- to twelfth grade students.

Therefore, Population is all students from grades 3-12.

The sample is defined as a part of population of which information was actually collected.

So, the sample is only the respondents in the survey conducted in 2026.

Therefore, Sample is the students who participated in the survey.

6 0

3 years ago

Find the rate of change

andrezito [222]

Step-by-step explanation:

(x1,y1) = (-1,-1)

(x2,y2) = (2,-2)

m = (y2 - y1)/(x2 - x1)

m = (-2 + 1)/(2 + 1)

m = -1/3

Option → C

8 0

2 years ago

Please help with this

Dafna1 [17]

Answer:

Step-by-step explanation:

● first one:

The diagonals of a rhombus are perpendicular to each others wich means that they form four right angles.

STP is one of them so this statement is true.

● second one:

If ST and PT were equal this would be a square not a rhombus.

● third one:

If SPQ was a right angle, this woukd be a square.

● fourth one:

Again if the diagonals SQ and PR were equal, this would be a square.

5 0

3 years ago

1 1/3 divided by 2 5/6

victus00 [196]

The answer is 8/17 because you have to change the fractions to improper fractions then change the division sign to a multiplication sign. Then change the second fraction by flipping the two numbers then multiply and reduce.

3 0

3 years ago

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