Answer:
The length of s is 5.1 inches to the nearest tenth of an inch
Step-by-step explanation:
In Δ RST
∵ t is the opposite side to ∠T
∵ r is the opposite side to ∠R
∵ s is the opposite side to ∠S
→ To find s let us use the cosine rule
∴ s² = t² + r² - 2 × t × r × cos∠S
∵ t = 4.1 inches, r = 7.1 inches, and m∠S = 45°
→ Substitute them in the rule above
∴ s² = (4.1)² + (7.1)² - 2 × 4.1 × 7.1 × cos(45°)
∴ s² = 16.81 + 50.41 - 41.1677568
∴ s² = 26.0522432
→ Take √ for both sides
∴ s = 5.10413981
→ Round it to the nearest tenth
∴ s = 5.1 inches
∴ The length of s is 5.1 inches to the nearest tenth of an inch
Answer: c
hope this helps you out & i’m not 100% sure if this is right so sorry if u get it wrong .
Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271
<u>Using the binomial probability relation</u> :
- P(x = x) = nCx * p^x * q^(n-x)
- p = probability of success = 0.4
- q = 1 - p = 0.6
- n = number of trials = 100
P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)
<u>Using a binomial probability calculator</u> :
P(x ≥ 100) = 0.0271
Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271
Learn more :brainly.com/question/12474772
Answer:
.513 is larger
Step-by-step explanation:
1st method is the thousandths place larger or smaller
.1 tenths
.01 hundredths
.001 thousandths
In this case the thousandths is larger for .513
2nd method
subtract the two number
.513 - .5129 = .0001
Since the number recieved is positive this means .513 is larger
