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Sav [38]
3 years ago
14

Write and solve an equation to find the number n. The difference of three times a number and 4 is -19.

Mathematics
1 answer:
Law Incorporation [45]3 years ago
4 0

Answer:

-5

Step-by-step explanation:

Let n be the unknown number

difference is subtraction

3n -4 = -19

Add 4 to each side

3n-4+4 = -19+4

3n = -15

Divide by 3

3n/3 = -15/3

n = -5

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How many cubic blocks of side length
Andrei [34K]

Answer:

To find how many blocks it would take in each of these scenarios, you could find the total volume and then divide by the volume of each smaller cube.

1.  3/7 x 3/7 x 3/7 = 27/343 cubic inches

    1/7 x 1/7 x 1/7 = 1/343 cubic inches

27/343 cubic inches  divided by 1/343 cubic inches = 27 cubes.

2.  3/7 x 1/7 x 3/7 = 9/343 cubic inches

9/343 cubic inches divided into groups of 1/343 cubic inches is 9 cubes.

3.  2/6 x 2/6 x 2/6 = 8/216 cubic inches

8/216 cubic inches divided by 1/216 cubic inches is 8 cubes.

Another way to think of it would be for #1, each 3/7 of an inch would be 3 groups of 1/7, so 3 x 3 x 3 for each dimension would result in 27 cubes.

For #2, it would be 3 groups of 1/7, one group of 1/7 and another 3 groups of 1/7, so 3 x 3 is 9 cubes.

For #3 it would be 2 groups of 1/6 three times, so 2 x 2 x 2 = 8 cubes.

 

 

Step-by-step explanation:

8 0
2 years ago
What is the recursive formula for this geometric sequence<br><br>4,-12,36,-108...
Natalka [10]

a_{n+1} = - 3 a_{n} with a_{1} = 4

To find the next term in the sequence multiply the previous term by - 3

the common ratio r = \frac{-108}{36} = \frac{36}{-12} = - 3

a_{n+1} = a_{n} × r ← recursive formula




7 0
3 years ago
Read 2 more answers
You wish to compute the 99% confidence interval for the population proportion. How large a sample should you draw to ensure that
Nataly_w [17]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47  

And rounded up we have that n=99

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".  

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.13 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We assume the value for \hat p =0.5 since we don't have previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47  

And rounded up we have that n=99

4 0
3 years ago
Read 2 more answers
Please answer this. If I get it correct, I will mark you brainliest.
Phantasy [73]

Answer:

yeet

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Carol bought a coloring book. It is 11 inches long and 8 inches wide. What is the diagonal length of the book?
Leokris [45]

Answer:

13.6 inches

Step-by-step explanation:

We can use Pythagorean theorem: c=\sqrt{a^{2} +b^{2} }

Let c be the diagonal length, a for length, and b for width.

Substitute the values.

c=\sqrt{11^{2}+8^{2}  }

c=13.6 inches

7 0
3 years ago
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