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White raven [17]
3 years ago
15

A cubical house can hold 4096m of air .find the height of the house​

Mathematics
1 answer:
iren2701 [21]3 years ago
5 0

Answer:

16 m

Step-by-step explanation:

V = s^{3}

4096 = s^{3}

cube root of 4096 = 16

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Which is the formula for slope of a line.
PilotLPTM [1.2K]

If the line passes through the points A(x_1,y_1) and B(x_2,y_2), then the slope of the line can be determined as

m=\dfrac{y_2-y_1}{x_2-x_1}.

Then the equation of the line is

y=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)+y_1.

Answer: correct choice is B

4 0
3 years ago
Read 2 more answers
Solve by elimination 5x+y=0 5x+2y=30
xxMikexx [17]
I think the answer is (-6,30) unless I messed up somewhere
5 0
3 years ago
Each time Caroline goes shopping she decides whether or not to buy fruit.
DiKsa [7]

Let event A = Caroline buys fruit, event B = Caroline buys CD, Ac and Bc are complementary events.

Events AB, ABc, AcB and AcBc are jointly exhaustive and disjoint, hence P(AB) + P(ABc) + P(AcB) +P(AcBc) =1.

Events A and B independent, hence Ac and Bc independent too and probability P(AcBc) = P(Ac)*P(Bc) = (1 - P(A))(1-P(B)) = 0.6*0.4 = 0.24.

Required probability P(AB + ABc + AcB ) = P(AB) + P(ABc) + P(AcB) = 1- P(AcBc) = 1 - 0.24 = 0.76.

Answer: Probability that Caroline buys fruit, a CD or both is 0.76.

5 0
2 years ago
Smokers: Out of 780 smokers, 376 have been divorced.
beks73 [17]

For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as

  • 95% confidence interval = (0.5352, 0.4462)
  • 95% confidence interval = (0.3424, 0.2894)
  • 53% increased risk of divorce for smokers.

<h3>What is the 95% confidence interval for smokers and non-smokers?</h3>

Generally, the equation for the Confidence interval is mathematically given as

p ± Z/2[p(1-p)]/n

Where

Z1/2=1-(0.05/2)

Z1/2=0.975

Read z table we have

Z score= 1.96

Hence

0.4907 ± 1.96 (0.4907)(1-0.4907)/485

0.4907±0.0445

Therefore

95% confidence interval = (0.5352, 0.4462)

b)

Z1/2 = 1- (0.05/2)

Z1/2 = 0.975

Z score= 1.96

0.3159 ± 1.96 (0.3159)(1-0.3159)/1184

0.3159±0.0265

Thereofore

95% confidence interval = (0.3424, 0.2894)

c)

In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.

Read more about Confidence interval

brainly.com/question/17097944

4 0
3 years ago
3
adoni [48]

Answer:

The solution set is (5,6).

Step-by-step explanation:

Given equations are:

-6x + 6y= 6         Eqn 1

-6x + 3y=-12      Eqn 2

Subtracting Eqn 2 from Eqn 1

(-6x+6y)-(-6x+3y)= 6-(-12)

-6x+6y+6x-3y=6+12

3y = 18

Dividing both sides by 3

\frac{3y}{3}=\frac{18}{3}\\y=6

Putting y=6 in Eqn 1

-6x+6(6)=6

-6x+36=6

-6x=6-36

-6x=-30

\frac{-6x}{-6}=\frac{-30}{-6}\\x=5

Hence,

The solution set is (5,6).

8 0
3 years ago
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