It is possible to calculate mathematically the area under the normal curve between any two values of z.
However, tables/software have been developed to give the areas under the normal curve to the left of particular values of z. The function is the probability of Z<z, or P(Z<z).
The area between two values z1 and z2 (where z2>z1) is therefore
P(Z<z2)-P(Z<z1).
For example, to find the area between z1=1.5, z2=2.5
is
P(Z<2.5)-P(Z<1.5)
=0.99379-0.93319
=0.06060
(above values obtained by software, such as R)
For example, the value P(Z<2.5) can be calculated using
P(Z<2.5)=erf(2.5/sqrt(2))/2+1/2
where erf(x) is a mathematical function that does not have an explicit formula (calculated by summation of series, or tabulated).
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▹ Answer
<em>(-1, 1) (-2, 2) (-3, 3)</em>
▹ Step-by-Step Explanation
You can use a graphing calculator to find the points. Attached is an image.
Hope this helps!
- CloutAnswers ❁
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For the seagull to catch the crab, h(t)=g(t) so:
-16t^2+45=-13t+23 add 16t^2 to both sides
45=16t^2-13t+23 subtract 45 from both sides
16t^2-13t-22=0 using the quadratic equation:
t=(13±√1577)/32, since t>0
t=(13+√1577)/32 seconds
t≈1.65 seconds (to nearest hundredth of a second)
And the height that this occurs using either original equation is:
h((13+√1577)/32)≈1.59 ft (to nearest hundredth of a foot)
Answer:
Ten and a Half milkshakes can be prepared from the available amount of ice cream.
Step-by-step explanation:
The total vanilla ice cream = 7/8 gallons
Ice cream used for 1 milkshake = 1/12 gallon
Now, total number of milkshakes possible = 
= 
Hence ten and a half milkshakes can be prepared from the available amount of ice cream.
Do you mean (2/3) times 3X or is x a multiplication symbol
