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3 years ago

The sum of four consecutive odd numbers is 48?

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

4 0

Answer:

The numbers are 9 + 11 + 13 + 15.

Step-by-step explanation: The equation for this is simple.

Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is 9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.

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Find the complete factored form of the

Andreas93 [3]

Answer:

$2a(-7ab^6+8)$

Step-by-step explanation:

2a is a common factor of the two terms:

$-14a^2b^6+16a=\boxed{2a(-7ab^6+8)}$

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3 years ago

A line goes through (-4,-5) and (2,-3). Write an equation that is perpendicular to the line above

mrs_skeptik [129]

9514 1404 393

Answer:

y = -3x

Step-by-step explanation:

The slope formula gives the slope of the segment between the given points.

m = (y2 -y1)/(x2 -x1)

m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3

The slope of the perpendicular line is the opposite reciprocal of this, so is ...

m' = -1/(1/3) = -3

A perpendicular line is ...

y = -3x

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3 years ago

The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on

Mekhanik [1.2K]

Answer:

so it looks like you want to find a 98% confidence interval and using a T value. So we have our X bar plus or minus a T. Star value times the standard deviation divided by the square root of van. And you had a sample of size 17 which yielded a mean of 32 that it lowered it by 32 the standard deviation was 15. And so we need to find the T. Star value. Now, subtle hint if you don't have a table on you, which I don't and I could always look it up online, but if I want the 98% confidence interval, that means I want the area down at this table to be 980.1 and I want my degrees of freedom to be 16. So I'm actually going to use my inverse, go to second and distribution and use my inverse T button on my T. I 84 and I put the area as 0.1 and my degrees of freedom as 16. And and then just enter in and I find out what that T. Star value is. This value is negative 2.583 and this value is 2.583 So now I have my T. Star value. You can also look it up in your in a table so we know that we'll have 32 plus or minus that T star value 2.583 times the standard deviation which is 15 over the square root of an Okay. And so I'm going to type in that 30 to minus 2.583 times the 15 divided by the square root of 17. And try to type it in right? And that gives me, my lower limit is 22.603 And my upper limit now I can go back and just change that subtraction sign to addition sign. And that gives me up to 41.397 So there's the confidence interval, the 98% confidence interval. And yes, you would. Uh that confidence interval, the mean would be unknown. Mhm. The standard deviation of the population is unknown because of the small sample size. We would like to have an approximate normal distribution, which means we would like to see a graph of those 17 numbers to make sure that they're approximately normal. And definitely we would like to have that be a simple random sample and it's not going to be most likely a simple random sample, but hopefully it's at least representative of what a simple random sample would be. Mhm.

3 0

2 years ago

HELPPP THIS IS SO HARD Keegan and Jeff did some research and found that there are approximately 7,492,000,000,000,000,000 grains

IrinaK [193]

Answer:

Keegan is correct.

Step-by-step explanation:

Keegan is correct.

Put a decimal point after the first digit which is 7. Count decimal places there are after the 7, this will be your power of 10. There are 18 decimal places after the 7. This means the answer would be 7 x 10^18.

7 0

3 years ago

Read 2 more answers

Bought a new car lately? The following table presents the number of vehicles sold in a certain country by several manufacturers

ella [17]

Answer:

The Relative Frequency Table is:

<u> Manufacturer Relative Frequency </u>

General Motors 0.242

Ford 0.208

Chrysler LLC 0.148

Toyota 0.177

Honda 0.116

Nissan 0.109

Step-by-step explanation:

To find out the relative frequency we need to use the formula:

Relative Frequency = Frequency / Sum of All Frequencies

We can find the sum of all the frequencies by adding all the sales for the year 2013.

Sum of Frequencies for 2013 = 225,650 + 194,068 + 138,085 + 164,423 + 107,526 + 101,113

Sum of Frequencies for 2013 = 930865 cars

Now we can compute the relative frequencies for each of the manufacturers as follows:

General Motors: 225650/930865 = 0.242

Ford: 194068/930865 = 0.208

Chrysler LLC: 138085/930865 = 0.148

Toyota: 164423/930865 = 0.177

Honda: 107526/930865 = 0.116

Nissan: 101113/930865 = 0.109

Relative Frequency Distribution Table for the 2013 sales:

Manufacturer Relative Frequency

General Motors 0.242

Ford 0.208

Chrysler LLC 0.148

Toyota 0.177

Honda 0.116

Nissan 0.109

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3 years ago