Answer:
Hypotenuse
Step-by-step explanation:
Answer:
L= the sum of the square root of the square of the opposite side and the square of the base the triangle.
Step-by-step explanation:
Using Pythagorean Theorem :
the square of the hypotenuse= the square of the opposite side + the square of the base.
By dividing the total number of peas (228) by the number of peas per pod (6), we find that Gregor Mendel has 38 pods of peas.
This question is asking how many pods of peas Gregor Mendel has if he has a total of 228 peas and each pod contains 6 peas. To find out this, you can divide the total number of peas by the number of peas per pod.
So, 228 peas ÷ 6 peas/pod = 38 pods.
Therefore, Gregor Mendel has 38 pods of peas that he is examining for his research.
#SPJ2
what is 10*2*8-3(8*5)
Answer:
Step-by-step explanation:
First of all we need to graph f(x)=8x, (First picture)
Now we have to calculate the area enclosed by the graph of the function, the horizontal axis, and vertical lines at and ,
The area that we have to calculate is in pink (second picture).
The function is positive and the domain isthen we can calculate the area with this formula:
,
In this case
The result of the integral is,
, but the integral is defined in [2,6] so we have to apply Barrow's rule,
Barrow's rule:
If f is continuous in [a,b] and F is a primitive of f in [a,b], then:
Applying Barrow's rule the result is:
Answer:
a) 0.2588
b) 0.044015
c) 0.12609
Step-by-step explanation:
Using the TI-84 PLUS calculator
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question, we know that:
μ = 119 inches
standard deviation σ = 17 inches
(a) What proportion of trees are more than 130 inches tall?
x = 130 inches
z = (130-119)/17
= 0.64706
Probabilty value from Z-Table:
P(x<130) = 0.7412
P(x>130) = 1 - P(x<130) = 0.2588
(b) What proportion of trees are less than 90 inches tall?
x = 90 inches
z = (90-119)/17
=-1.70588
Probability value from Z-Table:
P(x<90) = 0.044015
(c) What is the probability that a randomly chosen tree is between 95 and 105 inches tall?
For x = 95
z = (95-119)/17
= -1.41176
Probability value from Z-Table:
P(x = 95) = 0.07901
For x = 105
z = (105 -119)/17
=-0.82353
Probability value from Z-Table:
P(x<105) = 0.2051
The probability that a randomly chosen tree is between 95 and 105 inches tall
P(x = 105) - P(x = 95)
0.2051 - 0.07901
= 0.12609
y=3 , rather than the x− x− axis.) Your integrand looks fine and reduces to
(9−18sinx+9sin2x) − (9−18cosx+9cos2x) (9−18sinx+9sin2x) − (9−18cosx+9cos2x)= 18 (cosx−sinx) + 9 (sin2x−cos2x) = 18 (cosx−sinx) − 9 cos2x .= 18 (cosx−sinx) + 9 (sin2x−cos2x) = 18 (cosx−sinx) − 9 cos2x .The evaluation of the volume is then
π [ 18 (sinx+cosx) − 92sin2x ]π/40π [ 18 (sinx+cosx) − 92sin2x ]0π/4= π ( [ 18 ( 2–√2+2–√2) − 92⋅1 ] − [ 18 (0+1) − 92⋅0 ] ) = π ( [ 18 ( 22+22) − 92⋅1 ] − [ 18 (0+1) − 92⋅0 ] ) = π ( 182–√ − 92 − 18 ) = π ( 182–√ − 452 ) or 9π2 ( 42–√ − 5 ) ,
Answer:
The answer is "".
Step-by-step explanation:
Solve the L.H.S part:
After calculating the L.H.S part compare the value with R.H.S:
In equation (i) multiply by 3 and subtract by equation (iii):
put the value of c in equation (i):
In equation (ii) multiply by 3 then subtract by equation (iv):
put the value of d in equation (iv):
The final answer is "".