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Effectus [21]
3 years ago
6

Find three consecutive integers whose sum is six times the greater integer

Mathematics
1 answer:
Zepler [3.9K]3 years ago
4 0
3 times 6 18 and do that 6 times add

You might be interested in
What’s 39,204 divided by 54
ozzi

Answer:

726

Step-by-step explanation:

39204/54=726

7 0
2 years ago
Suppose the weights of the Boxers at this club are Normally distributed with a mean of 166 pounds and a standard deviation of 5.
lesya [120]

Answer:

0.1994 is the required probability.      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 166 pounds

Standard Deviation, σ = 5.3 pounds

Sample size, n = 20

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{5.3}{\sqrt{20}} = 1.1851

P(sample of 20 boxers is more than 167 pounds)

P( x > 167) = P( z > \displaystyle\frac{167 - 166}{1.1851}) = P(z > 0.8438)

= 1 - P(z \leq 0.8438)

Calculation the value from standard normal z table, we have,  

P(x > 167) = 1 - 0.8006= 0.1994 = 19.94\%

0.1994 is the probability that the mean weight of a random sample of 20 boxers is more than 167 pounds

3 0
2 years ago
Marisol has enough tile to cover a square portion of her patio with an area of 225 ft2. What will be the side lengths of her des
Anit [1.1K]

Answer:

Side lengths = 15 ft²

Step-by-step explanation:

Given:

Area of square = 255 ft²

Find:

Side lengths

Computation:

Area of square = side x side

Area of square = 255 ft²

Side lengths = √Area of square

Side lengths = √255

Side lengths = 15 ft²

4 0
3 years ago
In the figure, WY¯¯¯¯¯¯¯¯¯WY¯ and XZ¯¯¯¯¯¯¯¯XZ¯ intersect at point VV, the measure of ∠WVZ∠WVZ is (11x−19)°(11x−19)°, and the me
Zepler [3.9K]
Assuming a diagram similar to the one I've attached, ∠<em>YVZ</em> is a vertical angle to ∠<em>WVX</em>, which means they have an equal measure.  Additionally, ∠<em>WVZ</em> and ∠<em>WVX</em> form a linear pair, which means they are supplementary (sum to 180°).  That means we start out with the equation
(11x-19)+(8x+28)=180
We combine our like terms (the <em>x</em>'s get combined, then the constants get combined) and have:
19x+9=180
Cancel the 9 first by subtraction:
19x+9-9=180-9 \\ 19x=171
Cancel the 19 by division:
\frac{19x}{19}= \frac{171}{19}   \\ x=9
Since we know that our angle we're looking for, ∠<em>YVZ</em>, is the same measure as ∠<em>WVX</em>, we substitute 9 in for <em>x</em>:
8(9)+28=72+28=100°
7 0
2 years ago
Select the correct answer. Which number has a terminating decimal expansion? A. 2/7 B.√12 C. 5/8 D. 2/11
quester [9]

Answer:

Option C is correct option.

Step-by-step explanation:

We need to determine which number has a terminating decimal expansion.

<em>Terminating decimal </em>

<em>A decimal number that contains a finite number of digits after the decimal point is called terminating decimal . </em>

<em>for example 0.123 is terminating decimal as it has finite number of digits after decimal point.</em>

Now, we will look at each option to find the terminating decimal

A. 2/7

Converting in decimal form: 0.28571....

As it doesn't contain finite numbers after decimal point, so 2/7 is not terminating decimal.

B.√12

Converting in decimal form: 3.46410....

As it doesn't contain finite numbers after decimal point, so √12 is not terminating decimal.

C. 5/8

Converting in decimal form: 0.625

As it contain finite numbers after decimal point, so 5/8 is terminating decimal.

D. 2/11

Converting in decimal form: 0.18181....

As it doesn't contain finite numbers after decimal point, so 2/11 is not terminating decimal.

Therefore, Option C is correct option.

4 0
2 years ago
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