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2 years ago

Solve the inequality 4x-7 less than 5

Mathematics

2 answers:

Alik [6]2 years ago

7 0

Answer: X is less than 3

Step-by-step explanation:

4x - 7 < 5

Add 7 to both sides:

4x < 12

Divide both sides by 4:

x < 3

MissTica2 years ago

7 0

Answer: x < 3

Step-by-step explanation

4x-7<5

Add 7 on both sides 4x<12

Divide 4 on both sides x<3

Brainliest plz

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Answer:

The exponential model for the population is $P(t) = 19000e^{0.048t}$

Step-by-step explanation:

The exponential model for the population has the following format:

$P(t) = P(0)e^{rt}$

In which P(0) is the initial population and r is the growth rate, as a decimal.

A population numbers 19,000 organisms initially and grows by 4.8% each year.

This means that $P(0) = 19000, r = 0.048$

$P(t) = P(0)e^{rt}$

$P(t) = 19000e^{0.048t}$

The exponential model for the population is $P(t) = 19000e^{0.048t}$

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2 years ago

Describe how to write an equation of a line using two points on the line.

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Answer:

Step-by-step explanation:

Calculate the slope from 2 points.

Substitute either point into the equation. You can use either (3,7) or (5,11)

Solve for b, which is the y-intercept of the line.

Substitute b, -1, into the equation from step 2.

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3 years ago

The primary purpose of the passage is to

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The primary purpose of the passage is to: indicate a specific ability that is useful in a negotiation (Option B).

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The focus of the passage is on how an essential talent for negotiators to have is the capacity to perceive things from our opponent's perspective.
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2 years ago

A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is tak

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Answer:

a) Assume that the population has a normal distribution.

And the reason is because this distribution is tabulated and is possible to find quantiles for a confidence level given. And for the uniform distribution we don't have somthing like this.

b) $218- 1.6449 \frac{72}{\sqrt{26}}= 194.77$

$218+ 1.6449 \frac{72}{\sqrt{26}}= 241.23$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X =218$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=72$ represent the population standard deviation

n=26 represent the sample size

Calculate the confidence interval

Part a

For this case the correct answer would be:

Assume that the population has a normal distribution.

And the reason is because this distribution is tabulated and is possible to find quantiles for a confidence level given. And for the uniform distribution we don't have somthing like this.

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.6449$