Answer:
Circle A will be similar to circle B when circle A is dilated by a scale factor of 4.
Answer:
0.6247
Step-by-step explanation:
The formula for calculating a Z-score is Z = (X - μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)
Step 1
Find the Probability of X ≤ 36
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 36 - 51/ 10
Z = -15/10
Z = -1.5
We find the Probability of Z = -1.5 from Z-Table
P(X <36) = P(X = 36) = P(Z = -1.5)
= 0.066807
Step 2
Find the Probability of X ≤ 56
μ = 51, σ = 10
Z = (X - μ)/σ
Z = 56 - 51/ 10
Z = 5/10
Z = 0.5
We find the Probability of Z = 0.5 from Z-Table:
P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146
Step 3
Find P(36 ≤ X ≤ 56)
P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)
= P( Z = 0.5) - P(Z = -1.5)
= 0.69146 - 0.066807
= 0.624653
Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247
Answer:
7+3(-4)(2) -2[12/(-3)] (15-7)-(9/3) -5[7+(-14)]-30= 49
Step-by-step explanation:
The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35 ⇒ 1st answer
Step-by-step explanation:
Let us revise some important notes in a number:
- Every digit in a number has a place value
- Place value is the value represented by a digit in a number
- Ex: the place value of 2 in the number 2,345 is 1,000 because 2 is in the thousands place, the place value of 9 in 12.29 is 0.01 because 9 is in the hundredths place
∵ The number is 50.8
∵ 5 is in the tens place
∴ The place value of 5 is 10
∵ The number is 18.35
∵ 5 is in the hundredths place
∴ The place value of 5 is 0.01
Let us compare between the places value of 5 in the two numbers
Let x the number which multiplying by the hundredth digit to give the ten digit
∵ 10 = x × 0.01
∴ 10 = 0.01 x
- Divide both sides by 0.01
∴ 1,000 = x
∵ 5 × 10 = 0.05 × 1000
∴ 50 = 50
∴ The value of 5 in 50.8 = 1,000 × the value of 5 in 18.35
The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35
Learn more:
You can learn more about the place value in brainly.com/question/13174282
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