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3 years ago

Y=x+2 Y=x-1 How many solutions does the system of equations have

Mathematics

1 answer:

Mkey [24]3 years ago

6 0

Answer:

the system has no solutions

Step-by-step explanation:

substract both equations and the result will be:

y - y = x - x + 2 + 1

0 = 3 is incompatible, so, no solution

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What triangle measure 47 68 and 65

Gwar [14]

It’s an acute scalene triangle

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3 years ago

The area of a bookshelf is 216 square inches.If the length of the bookshelf is 36 inches what is the width of the bookshelf?

yaroslaw [1]

Area = Length x width
216 = 36 x width
width = 216 ÷ 36 = 6 inches

6 0

3 years ago

Read 2 more answers

A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is current

lapo4ka [179]

Using the z-distribution, we have that:

The hypothesis test is:

$H_0: \mu = 7.4$

$H_1: \mu < 7.4$

The p-value is of 0.0668.

The critical value is $z^{\ast} = -1.28$

b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:

$H_0: \mu = 7.4$

At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:

$H_1: \mu < 7.4$

We have the standard deviation for the population, hence, the z-distribution is used.

The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the sample.

n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36$ .

Hence, the value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}$

$z = -1.5$

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of $z^{\ast} = -1.28$ .

Item b:

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at brainly.com/question/16313918

5 0

2 years ago

A scale model of a human heart is 16ft long. The scale is 32:1. How many inches long is the actual heart it represents?

melisa1 [442]

0.5 or 6 inches
The model=32
Actual size=1

32/1= 16/?
If 32 is 1 foot which equals 12 inches, and 16 is half of 32, then 16 is 0.5 inches or 6 inches

4 0

3 years ago

Find YW. YW = _ I just need the answer for YW no explanation needed.

KATRIN_1 [288]

Answer:

$YW=20\ units$