Answer:
0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:

Find the probability that the individual's pressure will be between 119.4 and 121.4mmHg
This is the pvalue of Z when X = 121.4 subtracted by the pvalue of Z when X = 119.4. So
X = 121.4



has a pvalue of 0.5987
X = 119.4



has a pvalue of 0.4562
0.5987 - 0.4562 = 0.1425
0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.
Answer:
1. x= -56.25
Expand
19.5-6.5x+36=201-4.5x-33
Simplify
-6.5x+55.5=201-4.5x-33
Simplify again
6.5x+55.5=-4.5x+168
Add 6.5 to both sides
55.5=-4.5x+168+6.5x
Simplify
55.5=2x+168
Subtract
55.5-168=2x
Simplify
112.5=2x
Divide both sides by 2
−112.5÷2 = x
Simplfy
x = -56.25
2. x > -7 ÷ 4
Or
Decimal Form: -1.75
Remove parentheses
12x>4x+5−19
Simplify
12x>4x-14
Subtract
12x-4x>-14
Simplify
8x>-14
Divide both sides by 8
x > -14 ÷ 8
Simplify
x > -7 ÷ 4
Or
Decimal Form: -1.75
3. Answer: Step 2 has an error
Step-by-step explanation:
Given equation,
2(10 - 13x) = -34x + 60
By distributive property,
20 - 26x = -34x + 60
Now, we need to isolate x on the left side of the equation,
For this we need to eliminate constant term from the left side,
20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )
I.e. Step 2 has an error,
We need to use subtraction property of equality instead of using addition property of Equality,
Note : The correct steps would be,
Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )
Step 3 : 8x = 40 ( addition property of Equality )
Step 4 : x = 5 ( Division Property of Equality )
Hope this helps!!! Good luck!!! ;)
Answer:
10x^3+9x^2-9
Step-by-step explanation:
8x^3+2x-2+9x^2-7+2x-2x^3 - Combine like terms
10x^3+9x^2-9
If you are asking for the slope it is a zero slope because...
2-2 equals 0 and you don't need to solve the bottom because the top is a zero
but a horizontal slope is when the zero is on the bottom.
btw- I guarantee I am right because i am a Indian. My wisdom comes from God. Jesus Christ!!!!:):):)