It costs $12 to enter the fair and $0.50 per ticket for rides. How much total would you spend if you paid admission and bought 7
1 answer:
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Given: ∠ DEF
To construct: ∠TSZ ≅ ∠DEF
Construction: Consider the attachment
Step-01: Draw a line XY and choose a point S on it as a vertex of the required angle. Further marks point T such that DE = ST
Step-02: Take an arc AB from point E in ∠DEF of any length and draw at point S which cuts at point P on XY line.
Step-03: Take another arc of length AB from point B in ∠DEF and draw from point P which cuts to the previous arc at Q.
Step-04: Now, join the point SQ and extend up to Z such that EF = SZ
Hence, ∠ TSZ will be the required congruent constructed angle to∠DEF
He earns 23 000 000 per 80 games for 48min
Per game he earns
If he earns 782 500 per game he earns 5 989,5833 per minute
If he played 2/3 of the time he played 32min which means he earned...
So he trained 35hours for a 48min match
Together that is 35.8hours
But I dont think this really matters here you just have to multiply 24453.125 with 60
And you get his hourly salary which is 1 467 187.5
Per game he earns
If he earns 782 500 per game he earns 5 989,5833 per minute
If he played 2/3 of the time he played 32min which means he earned...
So he trained 35hours for a 48min match
Together that is 35.8hours
But I dont think this really matters here you just have to multiply 24453.125 with 60
And you get his hourly salary which is 1 467 187.5
Answer:
0.36% probability that fewer than half in your sample will watch news videos
Step-by-step explanation:
To solve this question, i am going to use the binomial approximation to the normal.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be 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.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
So
If the population proportion of adults who watch news videos is 0.58, what is the probability that fewer than half in your sample will watch news videos
Half: 0.5*250 = 125
Less than half is 124 or less
So this is the pvalue of Z when X = 124
has a pvalue of 0.0036
0.36% probability that fewer than half in your sample will watch news videos