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Lapatulllka [165]
3 years ago
15

Solve for x. Show your work. 1 x<-12 2

Mathematics
1 answer:
Airida [17]3 years ago
5 0

Answer:

2 is not a solution

Step-by-step explanation:

x < -12

<u>Step 1:  Check if 2 is less than -12</u>

2 < -12

No, this doesn't work

Answer:  2 is not a solution

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Jacob receives $15 per week for his allowance. His parents have asked him to put $5 in his savings account and the rest of his a
drek231 [11]

Answer:

5:10

Step-by-step explanation:

$5-money he saves

$10-money he can spend

8 0
3 years ago
What is the equivalent fraction for 35/42
Lubov Fominskaja [6]

Answer:

An equivalent fraction is 5/6

Step-by-step explanation:

In order to find this, divide both parts of the fraction by 7.

35/7 = 5

42/7 = 6

Now we can put this back together as a fraction.

5/6

7 0
3 years ago
Read 2 more answers
A copy machine makes 84 copies in 3 minutes and 30 seconds, how many copies does it make per minute.
matrenka [14]

Answer:

24

Step-by-step explanation:

3 minutes and 30 seconds = 3.5 minutes

84/3.5 = 24copies/minute

4 0
3 years ago
Read 2 more answers
A random sample of 20 students yielded a mean of ¯x = 72 and a variance of s2 = 16 for scores on a college placement test in mat
Helen [10]

Answer:

The 98% confidence interval for the variance in the pounds of impurities would be 8.400 \leq \sigma^2 \leq 39.827.

Step-by-step explanation:

1) Data given and notation

s^2 =16 represent the sample variance

s=4 represent the sample standard deviation

\bar x represent the sample mean

n=20 the sample size

Confidence=98% or 0.98

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

On this case the sample variance is given and for the sample deviation is just the square root of the sample variance.

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

df=n-1=20-1=19

Since the Confidence is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.01,19)" "=CHISQ.INV(0.99,19)". so for this case the critical values are:

\chi^2_{\alpha/2}=36.191

\chi^2_{1- \alpha/2}=7.633

And replacing into the formula for the interval we got:

\frac{(19)(16)}{36.191} \leq \sigma^2 \leq \frac{(19)(16)}{7.633}

8.400 \leq \sigma^2 \leq 39.827

So the 98% confidence interval for the variance in the pounds of impurities would be 8.400 \leq \sigma^2 \leq 39.827.

7 0
3 years ago
Can someone help me with this question
Tasya [4]
I’m pretty sure you add 78+55= 133
180-133=47
so 9x+2=47
subtract 2 from 47 and itself
so 9x=45
divide 9 and 45 by 9
so x=5
8 0
3 years ago
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