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3 years ago

How do you convert 3/11 to a decimal equivalent using long division

Mathematics

1 answer:

Vsevolod [243]3 years ago

7 0

3 divided by 11

3.0 divided by 11

after simplification you will get 0.27272727272727272727272727...

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Design a simulation that you can use to model the situation. Then use your simulation to find the experimental probability. The

AlladinOne [14]

Answer:

The probability of seeing both = 0.32

Step-by-step explanation:

Step:-(i)

Given data the probability that you see a butterfly during a nature center tour is 80%

Let 'B' be the event of butterfly during a nature center tour

The probability that you see a butterfly during a nature center tour is 80%

P(B) = 80% = 0.80

Given data the probability that you see a turtle is 40%

Let 'T' be the event of turtle a nature center tour

P(T) = 40% = 0.40

Step:-(ii)

Independent events

If the occurrence of the event B is not effected by the occurrence or non-occurrence of the event 'A' , then the event 'B' is said to be independent of 'A'

If A and B are independent events then

P(A ∩B) =P(A) P(B)

now the given data the butterfly and turtle are independent events

probability of seeing both

P(B∩T) = P(B).P(T)

= 0.80 × 0.40

= 0.32

7 0

3 years ago

Find th volume of a cylinder if it has a diameter of 8 and a height of 12.leave your answer in tern of pi

forsale [732]

Answer:

$\large\boxed{V=192\pi}$

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have a diameter d = 8 → d = 2r → 2r = 8 → r = 4

and H = 12.

Substitute:

$V=\pi(4^2)(12)=\pi(16)(12)=192\pi$

6 0

4 years ago

How does the graph of f(x) = 3(x - 2)^2 + 1 compare to the graph

kati45 [8]

Hello,

Answer B

Just see the graphs. y=x² is passing by (0,0)

8 0

3 years ago

Read 2 more answers

M is the midpoint of LN. What is the measure of LM= 3x and LN= 2x + 2, find LM.

raketka [301]

Answer:

LM = 1.5

LN = 3

Step-by-step explanation:

From the question given:

M is the midpoint of LN

LM = 3x

LN= 2x + 2

LM =.?

Next, we shall determine the value of x. This is illustrated below:

Since M is the midpoint of LN, it means that when we divide LN by 2 the result will be LM i.e

LN /2 = LM

With the above formula, we can obtain the value of x as follow:

LN= 2x + 2

LM = 3x

x =..?

LN /2 = LM

2x + 2/ 2 = 3x

Cross multiply

2 × 3x = 2x + 2

6x = 2x + 2

Collect like terms

6x - 2x = 2

4x = 2

Divide both side by 4

x = 2/4

x = 0.5

Finally, we can obtain LM and LN as follow:

LM = 3x

x = 0.5

LM = 3 × 0.5

LM = 1.5

LN= 2x + 2

x = 0.5

LN = 2(0.5) + 2

LN = 1 + 2

LN = 3

4 0

3 years ago

The Toylot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A) under a norma

kotegsom [21]

Answer:

Test statistic = 3.1587

Step-by-step explanation:

We are given that the Toy-lot company makes an electric train with a motor that it claims will draw an average of only 0.8 ampere (A).

Also, a sample of eleven motors was tested, and it was found that the mean current was x = 1.20 A, with a sample standard deviation of s = 0.42 A.

So, Null Hypothesis, $H_0$ : $\mu$ = 0.8 { claim of 0.8 A is not low}

Alternate Hypothesis, $H_1$ : $\mu$ > 0.8 { claim of 0.8 A is too low}

Now, the test statistics used here will be;

T.S. = $\frac{Xbar - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, X bar = sample mean = 1.20 A

s = sample standard deviation = 0.42 A

n = sample size = 11 motors

So, Test statistics = $\frac{1.20 - 0.8}{\frac{0.42}{\sqrt{11} } }$ ~ $t_1_0$

= 3.1587

At 1% level of significance, t table gives a critical value of 2.764 at 10 degree of freedom. Since our test statistics is higher than the critical value so we have sufficient evidence to reject null hypothesis .

Therefore, we conclude that Toy-lot claim of 0.8 A is too low.

8 0

4 years ago