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3 years ago

Which of the following is the solution to the equation 4/5 x = - 1/5?

1 answer:

Montano1993 [528]3 years ago

6 0

The correct answer would be -1/4. I am sorry that is not one of the choice but by doing the math correctly, -1/4 is the correct answer.

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3≤7+g what does g equal?

Stells [14]

Answer:

-4

Step-by-step explanation:

Solve this like a normal equation. Pretend the ≤ is an equal sign. Then isolate the variable. Subtract 7 from both sides, and that will give you -4

7 0

4 years ago

A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain?

olganol [36]

Answer:

2) The domain would only include positive integers

Step-by-step explanation:

y cost for x person

x can't be negative or fraction.

5 0

3 years ago

What is the slope of the line that passes through the pair points?

gavmur [86]

The answer is b -1/8

5 0

3 years ago

Read 2 more answers

In a sample of nequals16 lichen specimens, the researchers found the mean and standard deviation of the amount of the radioacti

GuDViN [60]

Answer:

(a) The confidence level desired by the researchers is 95%.

(b) The sampling error is 0.002 microcurie per millilitre.

Step-by-step explanation:

The mean and standard deviation of the amount of the radioactive element, cesium-137 present in a sample of n = 16 lichen specimen are:

$\bar x=0.009\\s=0.005$

Now it is provided that the researchers want to increase the sample size in order to estimate the mean μ to within 0.002 microcurie per millilitre of its true value, using a 95% confidence interval.

The (1 - α)% confidence interval for population mean (μ) is:

$CI=\bar x\pm z_{\alpha/2}\times \frac{s}{\sqrt{n}}$

(a)

The confidence level is the probability that a particular value of the parameter under study falls within a specific interval of values.

In this case the researches wants to estimate the mean using the 95% confidence interval.

Thus, the confidence level desired by the researchers is 95%.

(b)

In case of statistical analysis, during the computation of a certain statistic, to estimate the value of the parameter under study, certain error occurs which are known as the sampling error.

In case of the estimate of parameter using a confidence interval the sampling error is known as the margin of error.

In this case the margin of error is 0.002 microcurie per millilitre.

(c)

The margin of error is computed using the formula:

$MOE=z_{\alpha/2}\times \frac{s}{\sqrt{n}}$

The critical value of z for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

$MOE=z_{\alpha/2}\times \frac{s}{\sqrt{n}}$

$0.002=1.96\times \frac{0.005}{\sqrt{n}}$

$n=[\frac{1.96\times 0.005}{0.002}]^{2}$

$=(4.9)^{2}\\=24.01\\\approx 25$

Thus, the sample size necessary to obtain the desired estimate is 25.

6 0

4 years ago

Plot and connect the points A(1,-5), B(-4,-3), C(3,-3), and find the area of the triangle it forms.

Dovator [93]

Answer:

7 square units

Step-by-step explanation:

Two of the points are on the horizontal line y = -3, so it is convenient to call that the "base" of the triangle. The length of the base is the difference in the x-coordinates of its end points:

b = 3 -(-4) = 7

The height is measured perpendicular to the base, so is the vertical distance from the line y=-3 to the third point. That distance is the difference between -3 and the y-coordinate of point A:

-3 -(-5) = 2

The triangle has a base of length 7 and a height of 2. Its area is ...

A = 1/2bh

A = 1/2(7)(2) = 7 . . . . square units

6 0

2 years ago