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krek1111 [17]
3 years ago
14

What is the coefficient in this equation 3x +9= -15

Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0

Answer:

3

Step-by-step explanation:

The coefficient is the number before the variable so 3 would be the coefficient in this equation.

Hope this helps!!!

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Which reason best explains why m^10n^3 is NOT equal to (mn)^13?
Hunter-Best [27]

Answer:This law of exponents can only be used when the bases are equal.

Step-by-step. explanation:

3 0
2 years ago
An SRS of 350 high school seniors gained an average of x¯=21 points in their second attempt at the SAT Mathematics exam. Assume
Lynna [10]

Answer:

a) 21-2.58\frac{52}{\sqrt{350}}=13.83  

21+2.58\frac{52}{\sqrt{350}}=28.17  

So on this case the 99% confidence interval would be given by (13.83;28.17)  

b) ME=2.58\frac{52}{\sqrt{350}}=7.17

c) ME=2.58\frac{52}{\sqrt{100}}=13.42

d) D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

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".  

Part a

\bar X=21 represent the sample mean  

\mu population mean (variable of interest)  

\sigma=52 represent the population standard deviation  

n=350 represent the sample size  

99% confidence interval  

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 0.99 or 99%, the value of \alpha=0.01 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):  

21-2.58\frac{52}{\sqrt{350}}=13.83  

21+2.58\frac{52}{\sqrt{350}}=28.17  

So on this case the 99% confidence interval would be given by (13.83;28.17)  

Part b

The margin of error is given by:

ME=2.58\frac{52}{\sqrt{350}}=7.17

Part c

The margin of error is given by:

ME=2.58\frac{52}{\sqrt{100}}=13.42

Part d

As we can see when we reduce the sample size we increase the margin of error so the best option for this case is:

D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

6 0
3 years ago
​What is the distance between point A and point B?
andrew11 [14]

Answer:

5 i think

Step-by-step explanation:

im doing the test ill come back and tell you if its right

8 0
3 years ago
Answer a, b and c. See image below
dlinn [17]

Answer:

a) 3/5 < 4/5

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c)  \frac{7}{10} > \frac{9}{15}  <em>or</em>  \frac{7}{10}

Step-by-step explanation:

a) 3/5 < 4/5

Flip the sign and the placement of the fraction so 3/5 is less then 4/5.

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c) We need to change the denominators to a common denominator to compare the size of the two fractions:

\frac{7}{10} × \frac{3}{3} = \frac{21}{30}

\frac{9}{15} ×  \frac{2}{2} = \frac{18}{30}

The common denominators of the two fractions is 30. Comparing the two fractions:

\frac{21}{30} >\frac{18}{30}  <em>or</em>  \frac{18}{30}

so we get:  \frac{7}{10} > \frac{9}{15}  <em>or</em>  \frac{7}{10}

7 0
3 years ago
What is |-2.2|? plz halp
gladu [14]
That would be 4
Hope it helps!!
3 0
3 years ago
Read 2 more answers
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