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yulyashka [42]
4 years ago
11

Which graph shows the solution to the following inequality?4d- 6 < 18 PLEASE HELP​

Mathematics
2 answers:
kenny6666 [7]4 years ago
4 0

Answer:

answer a

Step-by-step explanation:

4d-6 < 18

  • Let's isolate d on one side of the equation. Ignore the inequality for now. We'll deal with that later.

4d-6=18\\4d-6+6=18+6\\4d=24\\\frac{4d}{4}=\frac{24}{4}\\ d=6

  • Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating d, but if this confuses you, just do your math and keep the inequality there.

d < 6

  • On a number line, this would include every number <em>less than </em>6, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>6. But, how do we decide between answers a and c?
  • If a line has point at its beginning, 6, then that means that every number <em>less than or equal to</em> [ ≤ ] 6 is being shown, but our equation just says <em>less than </em>[ < ] 6, so answer a is our correct answer.
dem82 [27]4 years ago
3 0
Answer A is the answer
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You have determined that a statistical study is biased. What does this mean? A. Errors were made in data collection. B. Particip
Natasha2012 [34]

Answer:

Participants were lead to respond in a specific way.

Explanation:

Bias (the verb) is to show influence or prejudice about a certain thing and can cause people to change how they act or what they do.

3 0
3 years ago
Write the equation of the line that passes through the point (-2,4) and has a slope of 4.
zheka24 [161]

Answer:

y-4x+12=0

Step-by-step explanation:

(x1,y1)=(2,-4) and m=4

y-y1=m(x-x1)

y-(-4)=4(x-2)

y+4=4x-8

y-4x+4+8=0

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3 years ago
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KonstantinChe [14]
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5 0
3 years ago
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The mean GPA for 127 residents of the local apartment complex is 1.6. What is the best point estimate for the mean GPA for all r
madam [21]

By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.

The Central Limit Theorem established that, for a normally distributed random variable X, with mean and standard deviation, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation ;

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

The sample of 112 residents has a mean GPA of 1.7.

By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.

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4 0
2 years ago
The slope of the line that passes through the points (9, 11) and (3,6) is what
Natasha_Volkova [10]
Formula for slope (m) is:

(y2 - y1) / (x2 - x1)

Our points are (9, 11) and (3, 6).

Therefore we can determine:

y2 = 6
y1 = 11
x2 = 3
x1 = 9

Substitute these into the formula:

(y2 - y1) / (x2 - x1)

(6 - 11) / (3 - 9)

Solve:

(6 - 11) / (3 - 9)

-5 / -6

Reduce the fraction with -1:

Slope (m) = 5 / 6
7 0
3 years ago
Read 2 more answers
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