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VikaD [51]
3 years ago
8

If the mean of 6 numbers increased by 3, by how much would the sum of

Mathematics
1 answer:
Tresset [83]3 years ago
7 0

Answer:

18

Step-by-step explanation:

If there are 6 numbers, then they all have to be increased by 3 to get a mean that is increased by 3

So we do 6 numbers each increased by 3, or 6 times 3 which equals 18

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The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product a
Oksana_A [137]

Answer:

x³ + 5x² + 5x - 2

Step-by-step explanation:

Combine like terms.

x³ + 3x² − x + 2x² + 6x − 2 =

= x³ + 5x² + 5x - 2

4 0
2 years ago
I GIVEE BRAINLILSTT .
bearhunter [10]

Answer:

xcvbxc vx

Step-by-step explanation:

xcv xc c cx xc xcz xzcxcxzc

5 0
2 years ago
The National Institute of Standards and Technology (NIST) supplies "standard materials" whose physical properties are supposed t
Lady bird [3.3K]

Answer:

10.08-1.64\frac{0.1}{\sqrt{6}}=10.013    

10.08+1.64\frac{0.1}{\sqrt{6}}=10.147    

So on this case the 90% confidence interval would be given by (10.013;10.147)    

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 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =0.1 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)

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

The mean calculated for this case is \bar X=10.08

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 tabel to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

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

10.08-1.64\frac{0.1}{\sqrt{6}}=10.013    

10.08+1.64\frac{0.1}{\sqrt{6}}=10.147    

So on this case the 90% confidence interval would be given by (10.013;10.147)    

5 0
3 years ago
Ryan has 3 cups of chocolate milk. If he pours 1/3 of a cup each day, how many days will the 3 cups last him?
DerKrebs [107]

Answer:

Workplace Math. Everyday Math. Collaborative Learning. Class Projects. 1-3. 1-5. 1-6. 1-8 ... show them that math has any practical value – so show them! Then the ... How long will a prescription last if someone needs to take it three times a day? ... milk. ¼ cup flour. 1 ½ cups raisins. 1 ¼ cups oatmeal. 1 2/3 cups salt. ½ tsp.

Step-by-step explanation:

6 0
3 years ago
Find the sin in the triangle
Ierofanga [76]

Answer:

.324 or 18.9 degrees

Step-by-step explanation:

rule is

sine equals opposite over hypotenuse,

cosine equals adjacent over hypotenuse, and

tangent equals opposite over adjacent

OR

soh cah toa

sine = soh = 12/37 = .324

arcsin(.324) or sin^-1(.324) in DEGREES not radians =

18.9 degrees

6 0
3 years ago
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