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sp2606 [1]
3 years ago
10

Solve the inequality -8r<-12.

Mathematics
2 answers:
Rama09 [41]3 years ago
8 0
-8r<12
8r>12
Divide both sides by 8
r> 12/8
r> 3/2
r>1 1/2
r> 1.5

Any of the last 3 lines would be a correct answer, it just depends how you need to write it.

Hope this helps :)
Kobotan [32]3 years ago
6 0
Divide -8 from both sides to get the answer
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antoniya [11.8K]
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3 years ago
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Kendra has a painting canvas that is 20 inches wide by 37 inches high. She painted a red rose, which covered 50% of the canvas.
uysha [10]
The total area is:
 A = (20) * (37)
 A = 740 in ^ 2
 We can make the following rule of three:
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6 0
3 years ago
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in
erica [24]

Answer:

\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54

The degrees of freedom are:

df=n-1=10-1=9

Now we can calculate the p value using the alternative hypothesis:

p_v =2*P(\chi^2 >13.54)=0.279

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

We can calculate the sample deviation with this formula:

s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

n=10 represent the sample size

\alpha=0.05 represent the confidence level  

s^2 =0.0217 represent the sample variance

\sigma^2_0 =0.12^2= 0.0144 represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 = 0.0144

Alternative hypothesis: \sigma^2 \neq 0.0144

The statistic can be calculated like this;

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54

The degrees of freedom are:

df=n-1=10-1=9

Now we can calculate the p value using the alternative hypothesis:

p_v =2*P(\chi^2 >13.54)=0.279

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

7 0
3 years ago
Find the value of x required for
Inessa05 [86]

Answer:

13

Step-by-step explanation:

See attachment

4 0
2 years ago
Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Lou​'s car had 5.3
yanalaym [24]
Pretty simple. He needed 6.7 gallons to fill the tank. At 3.80/gallon, he spent $25.46
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