Answer: 6
Step-by-step explanation:
Let's use a rule of three here.
2 rooms in 1/3 h
x rooms in 1 h
Solve for x;
Remember that when you divide by a fraction, you invert the fraction and multiply by the numerator.
1/3 inverted is 3/1 or 3
Answer:
A mathematical equation or phrase that includes numbers, variables, and operators.
Step-by-step explanation:
Examples of numbers: 1, 5, 60, 100
Examples of variables: a, x, y
Examples of operators, +, -, x, /
Any mathematical equation with all 3 of the given examples is called an algebraic expression.
For example:
1 + 21 is not an algebraic expression, because although it has both numbers and operators, it does not have a variable.
x + 2 is an algebraic expression, because it has all 3 of the components listed above.
Hope I helped :)
Answer: The probability in (b) has higher probability than the probability in (a).
Explanation:
Since we're computing for the probability of the sample mean, we consider the z-score and the standard deviation of the sampling distribution. Recall that the standard deviation of the sampling distribution approximately the quotient of the population standard deviation and the square root of the sample size.
So, if the sample size higher, the standard deviation of the sampling distribution is lower. Since the sample size in (b) is higher, the standard deviation of the sampling distribution in (b) is lower.
Moreover, since the mean of the sampling distribution is the same as the population mean, the lower the standard deviation, the wider the range of z-scores. Because the standard deviation in (b) is lower, it has a wider range of z-scores.
Note that in a normal distribution, if the probability has wider range of z-scores, it has a higher probability. Therefore, the probability in (b) has higher probability than the probability in (a) because it has wider range of z-scores than the probability in (a).
The constant π is defined as the ratio of the circumference of a circle with respect to its diameter, mathematically:
π=C/d which can be rearranged to
C=πd
Since the diameter is equal to twice the radius of the circle, ie d=2r
C=2πr dividing both sides by 2π gives you:
r=C/(2π), the "spoke" in our problem is equal to the radius of a circle, and we are told that C=42in so:
r=42/(2π) in
r=21/π in
r≈6.68 in (to nearest hundredth of an inch)
The answer will go to bill Jeff 0.75