52 total cards....13 total diamonds in the deck
P(1st card picked being a diamond) = 13/52
replacing the card, so the sample space remains the same
P(2nd card being a diamond) = 13/52
P(both) = 13/52 * 13/52 = 169/2704 = 1/16 <==
Answer:
3.59% of the ball bearings will have diameters of 20.27 mm or more.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What percent of the ball bearings will have diameters of 20.27 mm or more?
This is 1 subtracted by the pvalue of Z when X = 20.27. So
has a pvalue of 0.9641.
1-0.9641 = 0.0359
3.59% of the ball bearings will have diameters of 20.27 mm or more.
Answer:
i believe its the first option
Step-by-step explanation:
Linda's original savings is $800.
3/4 of savings on furniture.
4/4 - 3/4 = 1/4 this is spent on the TV.
200 ÷ 1/4 = 0 *equation to be used in finding the original amount of Linda's savings.
Dividing fractions:
Step 1. Get the reciprocal of the 2nd fraction. 200/1 is the 1st fraction. 1/4 is the second fraction. The reciprocal of 1/4 is 4/1. Reciprocal means swapping the numerator and denominator.
Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction.
200/1 * 4/1 = (200 * 4) / (1 * 1) = 800 / 1.
Step 3. Simplify the fraction.
800 / 1 = 800.
Answer:
The correct option is D which is 20 games
Step-by-step explanation:
Let x = total number of basketball games that was played by the team this season.
Alon started in 60% of his team’s basketball games this season. This means that he started in a total number of 60 percent of x basketball games this season.
60% of x basketball games this season = 60/100 × x
= 0.6×x = 0.6x
From the information given, Alon started a total of 12 basketball games this season. Therefore,
0.6x = 12
x = 12/0.6 = 20
