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Lyrx [107]
3 years ago
12

Which linear inequality is represented by the graph?

Mathematics
1 answer:
yarga [219]3 years ago
7 0

Answer:

y is less than -2x+3

Step-by-step explanation:

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What’s the measure of the angle theta?
11111nata11111 [884]

Answer:

∅ = 50°

Step-by-step explanation:

YOU NEED A CALCULATOR TO SOLVE THIS!

You need to use Law of Sines

\frac{a}{sinA} =\frac{b}{sinB} = \frac{c}{sinC}

Here you will be doing \frac{a}{sinA} =\frac{c}{sinC}

a and c are the lengths, while A and C are the angles

\frac{3.46}{sinA} = \frac{2.54}{sin43} you want to get the denominators out from underneath so multiply both sides by sinA and sin43

3.46sin43 = 2.54sinA

Now you want to get sinA alone so divide both sides by 2.54

\frac{3.46sin43}{2.54} = sinA now get A alone

sin^{-1} (\frac{3.46sin43}{2.54}) = A put that into the calculator

49.61741033 = A

7 0
3 years ago
Five decreased by twice a number is same as five less than<br> three times the number.
sergejj [24]
Answer: If you are suppose to write an algebraic expression it is: 5 - 2x = 3x - 5
If you are suppose to solve the answer is:
5-2x=3x-5
-2x=3x-10
-5x=-10
x=2
8 0
2 years ago
6(n-4)=3n<br> I need help I’m not good with math
lina2011 [118]

Answer:

n=8

Step-by-step explanation:

6(n-4)=3n

6n-24=3n

-24=-3n

n=8

7 0
3 years ago
Read 2 more answers
A sample of 32 observations is taken from an infinite population. The sampling distribution of a.is approximately normal because
Vanyuwa [196]

Answer:

a.is approximately normal because of the central limit theorem.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Sample limit of 32 > 30, so the distribution is approximately normal because of the central limit theorem, and the correct answer is given by option a.

7 0
3 years ago
The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people.
NISA [10]

Answer:

8.2-2.58\frac{2.2}{\sqrt{18}}=6.86    

8.2+2.58\frac{2.2}{\sqrt{18}}=9.54    

So on this case the 90% confidence interval would be given by (6.86;9.54)    And the error is given by:

ME= 2.58\frac{2.2}{\sqrt{18}} =1.338

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=8.2 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=2.2 represent the population standard deviation

n represent the sample size  

Solution to the problem

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 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58

Now we have everything in order to replace into formula (1):

8.2-2.58\frac{2.2}{\sqrt{18}}=6.86    

8.2+2.58\frac{2.2}{\sqrt{18}}=9.54    

So on this case the 90% confidence interval would be given by (6.86;9.54)    And the error is given by:

ME= 2.58\frac{2.2}{\sqrt{18}} =1.338

8 0
3 years ago
Read 2 more answers
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