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Taya2010 [7]
2 years ago
5

Solve 4x - 8 < 44. Enter your answer as an inequality.

Mathematics
1 answer:
Ilya [14]2 years ago
7 0

Answer:

x < 13

Step-by-step explanation:

We have an inequality and are asked to solve for x.

Inequality work the same as expressions when it comes to solving for x, the only difference is that when you divide by a negative, the inequality sign changes. Which is not a problem.

4x - 8 < 44

Add 8 to both sides :

4x < 52

Divide 4 from both sides :

x < 13

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Quick!
MAVERICK [17]

Answer:

y=-x-2

Step-by-step explanation:

To find the slope of the line, you can use the slope formula. I did this with (-3,1) and (2,-4) to get: (1+4)/(-3-2). This ends up as -5/5, which simplifies to -1.

next I plugged in the slope and one point into the line equation: y=mx+b. I plugged in (-4)=(-1)(2)+b. This equated to b=-2.

Check Work:

The equation -4=(-1)(2)-2 is true

The equation 1=(-1)(-3)-2 is true

5 0
3 years ago
A particular psychological test is used to measure need for achievement. The average test score for all university students in O
Angelina_Jolie [31]

Answer:

Only B and C are always true.

Step-by-step explanation:

To analyse which statements are always true, we go through the process of finding confidence intervals for sample means, from the start.

Confidence Interval = (Sample mean) ± (Margin of error)

From this expression, it is evident that the margin of error determines how wide the confidence interval would be.

Sample Mean = 110 (given)

Margin of Error = (Critical value) × (Standard deviation of the distribution of sample means)

Since no information about the population standard deviation is provided, the critical value is obtained using t-distribution.

The critical value usually varies at different confidence levels and degree of freedoms.

The higher the confidence level, the higher the critical value and the higher the margin of error leading to a wider range.

Hence, a confidence interval of 95% will have a higher critical value than a confidence interval of 90%. Hence, statement C is proved once that 'for n = 100, the 95% confidence interval will be wider than the 90% confidence interval'.

After obtaining the critical value, we then obtain the standard deviation of the distribution of sample means or simply the standard error of the mean. This is given as

σₓ = σ/√n

where σ = standard deviation; which isn't given. The standard deviation might be high enough to guarantee that the Margin of error is high too for the confidence interval to contain 115 or low enough to ensure that the Margin of error is very small and the confidence interval will not contain 115.

Or the sample size might be high enough to make the standard error of the mean to be eventually small and lead to a small margin of error and the condidence interval will not contain 115.

The point is, it isn't always sure that the resulting interval.would contain 115. So, statement A isn't always true.

Then from σₓ = σ/√n,

n = sample size, a large sample size means a more narrow confidence interval and a small sample size means a wider sample size. This proves statement C.

The 95% confidence interval for n = 100 will be more narrow than the 95% confidence interval for n = 50.

Hence, Only B and C are always true.

Hope this Helps!!!

5 0
3 years ago
What is 1/9 of a quart
Agata [3.3K]
Im guessing by my predicition that it will be 0.11 that will continue
7 0
3 years ago
Whats 19,174 rounded to the nearest thousand
satela [25.4K]

19,000

Step-by-step explanation:

round down if the hundred is above 5 than round up one number

4 0
3 years ago
Mark raises guppies in an aquarium. He finds out that guppies reproduce very rapidly, and the number quadruples every month. He
Andrews [41]
For this case what we should know is that the function that best adapts to this problem is given by:
 y = 2 * (4) ^ x
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 A larger interval of -6.5 to 6.5.
 In both intervals the exponential growth of the function is demonstrated.
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See attached image.

7 0
3 years ago
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