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777dan777 [17]
2 years ago
6

What is the length of the longest side of the triangle if the left side is 2x+12 and the bottom number is 6x-2 and the right sid

e is 5x-9
Mathematics
1 answer:
Ganezh [65]2 years ago
7 0

Answer:

Depends on the value of x. If x = 3, the triangle has sides 18, 6, 16 which satisfies the triangle inequality, so 2x+12 is longest in this case. If x is very large, the triangle inequality is still satisfied, and 6x-2 is the longest side.

Step-by-step explanation:

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Sliva [168]

Answer: A

Step-by-step explanation:

Area= Base x Height

4 0
3 years ago
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A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o
Ronch [10]

Answer:

2.002 \leq \sigma^2 \leq 11.365

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

s^2 represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

On this case we need to find the sample standard deviation with the following formula:

s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}
The sample variance given was [tex]s^2=3.45

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

df=n-1=9-1=8

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 values.  

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

\chi^2_{\alpha/2}=15.507

\chi^2_{1- \alpha/2}=2.732

And replacing into the formula for the interval we got:

\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}

2.002 \leq \sigma^2 \leq 11.365

7 0
3 years ago
25 points to anybody who can solve this pls!
Svetach [21]

Answer:

Q' (2,4)

R' (3,1)

S' (5,3)

Step-by-step explanation:

When reflected across x-axis, the x-values stay the same but y-values change signs. Because you count how many points till the reflection line then same amount you have to go to the other side. But since it is saying x-axis, the reflection line is on x=0 so you just change the sign.

6 0
2 years ago
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Write 2 decimals whose product is 0.16
Nitella [24]
0.4 and 0.4 or 0.8 and 0.2 

Hope this helps :)
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3 years ago
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In 2003 Exxon Mobil received a contract from the government worth $756,733 while Aerospace received a contract from the governme
lutik1710 [3]

The combined total of their contracts is $1,296,250

<h3>How to determine the combined total?</h3>

The values of the contracts are given as:

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Total = Exxon Mobil + Aerospace

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Total = $1,296,250

Hence, the combined total of their contracts is $1,296,250

Read more about sum and total at:

brainly.com/question/4916384

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