Answer:
The minimum score required for admission is 21.9.
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:
A university plans to admit students whose scores are in the top 40%. What is the minimum score required for admission?
Top 40%, so at least 100-40 = 60th percentile. The 60th percentile is the value of X when Z has a pvalue of 0.6. So it is X when Z = 0.255. So
The minimum score required for admission is 21.9.
Answer:
x=0.25 or -1/4
Step-by-step explanation:
120x + 21 = -9
120x = -30 (-21 from both sides of equation)
x = -0.25 or -1/4 (divide 120 from both sides of equation)
Answer:
D. 15.7 yards
Step-by-step explanation:
The safety rail makes a curved side of a quarter circle.
The length of the safety rail = circumference of the curved part only of a quarter circle = ¼*2πr
Where,
radius = 10 yards
π = 3.14
Plug in the values
= ¼*2*3.14*10
= 15.7 yards.
✅The rail is 15.7 yards long.
The lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.
<h3>What is a confidence interval?</h3>
It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
We have:
A survey of 504 citizens found that 378 of them favor a new bill introduced by the city.
Sample proportion = p = 378/504 = 0.75
q = 1 - p = 1 - 0.75 = 0.25
SD = 0.01928
For 95% confidence interval Z value = 1.96
Lower limit = 0.75 - 1.96(0.01928)
= 0.712
Thus, the lower limit of the interval is 0.712 if the survey of 504 citizens found that 378 of them favor a new bill introduced by the city.
Learn more about the confidence interval here:
brainly.com/question/6654139
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4x-16+14=16-4x+6.
4x-16+14-16+4x-6=0(bring all values at one side)
4x+4x+14-16-16-6=0(arrange)
8x-24=0(solve)
8x=24(bring 8 on right hand side so x is alone)
X=24/8(solve)
X=3
