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3 years ago

What is 8-4/5f>-14-2f

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

6 0

8-4/5f>-14-2f

(subtract 8 on both sides)

-4/5f>-22-2f

(add 2f on both sides)

6/5f>-22

(divide 6/5 on both sides)

f>-55/3(-18.33)

SpyIntel [72]3 years ago

5 0

$8-\frac{4}{5}f>-14-2f\ \ \ \ \ |\cdot5\\\\40-4f>-70-10f\\\\-4f+10f>-70-40\\\\6f>-110\ \ \ \ \ |:6\\\\f>-\frac{110}{6}\\\\f>-\frac{55}{3}\\\\f\in(-\frac{55}{3},\infty)$

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Which system of linear equations appears to have a solution of (-1,4)?

daser333 [38]

Answer:

The 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.

The correct graph is also attached below.

Step-by-step explanation:

We know when two lines meet at a certain point, the point where they meet is called the point of intersection.

We also know that the point of intersection of two lines is termed as the solution of the system of linear equations.

We are given the point (-1, 4) as the solution of the system of linear equations.

It means the two lines meet at x = -1, and y = 4.

In other words,

(x, y) = (-1, 4) is called the point of intersection of the system of linear equations.

Now, if we closely check the graph of these two lines, we can easily figure out that the 3rd from the right side is the graph that represents the solution to the system of linear equations.

The 3rd graph indicates that the two lines meet at x = -1, and y = 4.

Hence, the point of intersection of 3rd graph is:

(x, y) = (-1, 4)

Therefore, the 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.

The correct graph is also attached below.

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3 years ago

Help pls I don’t get it it’s due in a few minutes

alexandr402 [8]

I think it's the first option

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3 years ago

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Is 6,12,24 arithmetic or geometric?

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3 years ago

What is the p-value? -- Researcher Jessie is studying how the fear of going to the dentist affects an adult's actual number of v

Vesnalui [34]

Answer:

Two, one for the 14 responses (number of visits) by the adults who fear going to the dentist and one for the 31 responses (number of visits) by the adults who do not fear going to the dentist.

Step-by-step explanation:

Hello!

You want to test if the average visits to the dentist of people who fear to visit it are greater than the average visits of people that don't fear it.

In this case, the statistic to use is a pooled Student t-test. The reason I've to choose this test is that one of your sample sizes is small (n₁= 14) and the t-test is more accurate for small samples. Even if the second sample is greater than 30, if both variables are normally distributed, the pooled t-test is the one to use.

H₀: μ₁ = μ₂

H₁: μ₁ > μ₂

α: 0.10

t=<u> (X₁[bar]-X₂[bar]) - (μ₁ - μ₂)</u> ~ t $_{n₁+n₂-2}$

Sₐ√(1/n₁+1/n₂)

Where

X₁[bar] and X₂[bar] are the sample means of both groups

Sₐ is the pooled standard deviation

This is a one-tailed test, you will reject the null hypothesis to big numbers of t. Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis), and in this case, is also one-tailed.

P(t $_{n₁+n₂-2}$ ≥ t $_{H0}$ ) = 1 - P(t $_{n₁+n₂-2}$ < t $_{H0}$ )

Where t $_{H0}$ is the value of the calculated statistic.

Since you didn't copy the data of both samples, I cannot calculate it.

Well there was one sample taken and separated in two following the criteria "fears the dentist" and "doesn't fear the dentist" making two different samples, so this is a test for two independent samples. To check if both variables are normally distributed you need to make two QQplots.

I hope it helps!

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3 years ago

Which expression is equivalent to 4 -(-7)? A 7+4, B 4-7, C -7-4, D -4+7

My name is Ann [436]

Hi there! You are subtracting a negative number, which is basically the same thing as adding, because two negatives make a positive. B and C is out, because they do not fit the expression. You are actually adding both numbers and anytime you have to subtract a negative number, you add. When you do basic math, 4 + 7 is 11. Both numbers are negative and D does not work, because you're adding from a negative number. The only answer choice that has the expression is A. The answer is A.

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3 years ago