What is 5/16 in if the scale is 1 in=8ft?

IrinaK [193]

The transformation from 1 to 2 is a translation, as the shape is moved from one point to another with no rotation, reflection, or change in size.

The transformation from 2 to 3 is a reflection, as the shape is now upside down. It is still the same distance from the y-axis.

The answer is D. translation, then reflection.

3 0

3 years ago

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Find the probability of exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%. rou

stiv31 [10]

Answer:

The probability of exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%, is:

31.3% (Rounding to the nearest tenth)

Step-by-step explanation:

With the information provided, P = 0.5, n = 6 and k = 3, we can build the binomial distribution table, this way:

Binomial distribution (n=6, p=0.5)

f(x) F(x)

x Pr[X = x] Pr[X ≤ x]

0 0.0156 0.0156

1 0.0938 0.1094

2 0.2344 0.3438

3 0.3125 0.6563

4 0.2344 0.8906

5 0.0938 0.9844

6 0.0156 1.0000

Under the first column we have the probabilities of success of every value from 0 to 6, and under the second column we have the values for answering the question at least how much probability we have of any number of successes. Our question is exactly 3 successes in 6 trials and we see that value under the first column: 0.3125.

Therefore, the probability of exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%, is:

31.3% (Rounding to the nearest tenth)

Let's recall that the formula for calculating the probability of exact successes is:

P(k out of n) = (n!/k!(n-k)!) * (p∧k*(1-p)∧(n-k))

in our case p=0.5, n=6, k=3

(n!/k!(n-k)!) = 20 and (p∧k*(1-p)∧(n-k)) = 0.015625

20 * 0.015625 = 0.3125

5 0

3 years ago

Katie divided 4.25 by 0.25 and got a quotient of 0.17 what is wrong?

nalin [4]

It should be 17 because 4.25 divided by 0.25 is the same as 425/25 which is 17.

8 0

4 years ago

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A triangle has sides that measure 5 units, 7 units, and 8 units. Is this triangle a right triangle?

svp [43]

Answer:

B

Step-by-step explanation:

check using Pythagorean theorem

8^2 = 5^2 + 7^2

64 = 25 + 49

64 = 74

No

6 0

3 years ago

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A researcher wishes to determine whether people with high blood pressure can lower their blood pressure by performing yoga exerc

Anastaziya [24]

Answer:

90% confidence interval for the difference between the two population means

( -23.4166 , -6.5834)

Step-by-step explanation:

Step(i):-

Given first sample size n₁ = 100

Given mean of the first sample x₁⁻ = 178

Standard deviation of the sample S₁ = 35

Given second sample size n₂= 100

Given mean of the second sample x₂⁻ = 193

Standard deviation of the sample S₂ = 37

Step(ii):-

Standard error of two population means

$se(x^{-} _{1} -x^{-} _{2} ) = \sqrt{\frac{s^{2} _{1} }{n_{1} }+\frac{s^{2} _{2} }{n_{2} } }$

$se(x^{-} _{1} -x^{-} _{2} ) = \sqrt{\frac{(35)^{2} }{100 }+\frac{(37)^{2} }{100 } }$

$se(x^{-} _{1} -x^{-} _{2} ) = 5.093$

Degrees of freedom

ν = n₁ +n₂ -2 = 100 +100 -2 = 198

t₀.₁₀ = 1.6526

Step(iii):-

90% confidence interval for the difference between the two population means

$(x^{-} _{1} - x^{-} _{2} - t_{\frac{\alpha }{2} } Se (x^{-} _{1} - x^{-} _{2}) , x^{-} _{1} - x^{-} _{2} + t_{\frac{\alpha }{2} } Se (x^{-} _{1} - x^{-} _{2})$

(178-193 - 1.6526 (5.093) , 178-193 + 1.6526 (5.093)

(-15-8.4166 , -15 + 8.4166)

( -23.4166 , -6.5834)

4 0

3 years ago