Complete Question
The complete question is shown on the first uploaded image
Answer:
The calcium level that is the borderline between low calcium levels and those not considered low is 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation 
The proportion of the population with low calcium level is 
5% = 0.05
Let X be a X random calcium level
Now the P(X < c) = 0.05
Here P denotes probability
c is population with calcium level at the borderline
Since the calcium level is normally distributed the z-value is evaluated as
The critical value for 0.05 from the standard normal distribution table is
=> 
substituting values
=> 
=>
Answer:
2.28% of tests has scores over 90.
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 proportion of tests has scores over 90?
This proportion is 1 subtracted by the pvalue of Z when X = 90. So
has a pvalue of 0.9772.
So 1-0.9772 = 0.0228 = 2.28% of tests has scores over 90.
Answer:
x=2
Step by step:
f(x)=g(x)
3x+12= -9.5x-13 simplifies to the equation below
3x+9.5x= -13-12
12.5x= -25
next, divide by 12 on both sides to isolate the variable, x.
12.5x/12 = -25/12
x=-2
to check: 3(-2)+12= -95x(-2)-13
-6+12= 19-13
6=6 ✅
Answer:
-9/10
Step-by-step explanation:
- Find the LCM of 10 and 3: 30
- Alter the numerators to fit the denominators: 3 × 3 = 9, -1 × 10 = -10
- Re-write the fractions: 9/30 ÷ -10/30
- 9/30 ÷ -10/30 = 9/30 × -30/10
- 9/30 × -30/10 = -270/300
I hope this helps!
Answer:
502.4 mm^2
Step-by-step explanation:
First find the area of the larger circle, and then that of the smaller one.
Then subtract the latter (2nd) area from the first.
larger circle area smaller circle area
------------------------- ---------------------------
3.14(14 mm)^2 3.14(6 mm)^ 2
This comes out to 3.14[14^2 - 6^2] mm^ 2 = 3.14[196 - 36] mm^2, or
3.14(160 mm^2) = 502.4 mm^2
The area of the metal washer is 502.4 mm^2.
