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RSB [31]
3 years ago
12

How do I simplify the square root: 7 times the square root of 81

Mathematics
1 answer:
DENIUS [597]3 years ago
7 0
7\cdot\sqrt{81}=7\cdot\sqrt{9\cdot9}=7\cdot9=\boxed{63}
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Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: Wh
suter [353]

Answer: 0.064

Step-by-step explanation:

Binomial probability formula :-

P(X)=^nC_x \ p^x\ (1-p)^{n-x}, where P(x) is the probability of getting success in x trials, n is total number of trials and p is the probability of getting succes in each trial.

Given : The proportion of the homes constructed in the Quail Creek area include a security system :  p=0.40

Now, if three homes are selected at random, then the probability all three of the selected homes have a security system is given by :-

P(3)=^3C_3 \ (0.40)^3\ (1-0.40)^{3-3}\\\\=(0.40)^3=0.064

Hence, the probability all three of the selected homes have a security system = 0.064

6 0
3 years ago
What is the slope and y intercept of the equation 6x - 1 = 3y - 10
-BARSIC- [3]

your x value is your slope so the  slope is 6 and your y intercept is the y value so your intercept is 3

hope this helps

3 0
4 years ago
In order to expand its runways, an airport bought five tracts of land: 62 5/6 acres, 14 4/5 acres, 33 2/3 acres, 49 7/15 acres,
Alexxx [7]

Answer:

The answer to your question is The airport bought 164.7 acres

Step-by-step explanation:

Data

62 5/6  

14 4/5

33 2/3

49 7/15

10 3/5

Process

1.- Convert mixed fractions to improper fractions

62 5/6  = (372 + 5)/6 = 377/6

14 4/5 = (70 + 4)/5 = 74/5

33 2/3 = (99 + 2) / 3 = 101/3

49 7/15 = (735 + 7)/15 = 742/15

10 3/5 = (50 + 3)/5 = 53/5

2.- Look for the Least Common Factor

      6   5   3   15   5    2

      3    5  3   15   5    3

      1    5   1     5   5    5    least common factor = 2 x 3 x 5 = 30

      1     1    1     1   1

3.- Add the fractions

337/6 + 74/5 + 101/3 + 742/15 + 53/5 =  (1685 + 444 + 1010 + 1484 + 318)/30

                                                             = 4941/30

4.- Divide 4941 by 30

   4941/30 = 164.7 acres

6 0
4 years ago
What is the area of the circle below? Use π = 3.14 to solve. Round your answer to the nearest hundredth.
dezoksy [38]

Answer:

803.84 ft ²

:)

3 0
3 years ago
Read 2 more answers
Use the rules of significant figures to simplify the following expression: 22.674 • 15.05
ArbitrLikvidat [17]
1. count how many sig figs are in the number with least sig figs
2. multiply
3. cut the result off at the number of sig figs on top


15.05 has 4 sig figs
341.2

C
3 0
3 years ago
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