Answer:
Expectation=240
standard deviation=3.098
Step-by-step explanation:
This is a binomial probability function with n=250 and probability of success is 96%
-The expected value is calculated as:
Hence, the expected germination is 240 seeds
b. From a above, we have the value of p=0.96 and n=250.
The standard deviation of germination is therefore calculated using the formula:
Hence, the standard deviation of germination is 3.098
Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
Answer:
hello : solutio ( 6 ; 2)
Step-by-step explanation:
the translation is : x' = x + a ....(*)
y' = y + b ...(**)
calculate the coordinates ( a ; b) of vectro by the translation
you have : x' = -7 y' = 0 x = -6 y = -2
Substitute in (*) , (***) : -7 = -6 +a
0 = - 2 + b
a = -1 and b= 2
so : x' = x - 1
y' = y + 2
calculate now the coordinates of the image of the point (7,0) under the same translation.
x = 7 and b = 0
so : x' = 7-1 = 6 and y' = 0 + 2 = 2
the image is : ( 6 ; 2 )
Answer:
F) The rates are not equivalent.
Step-by-step explanation:
Consider the rates 45 mile in 8 minutes and 4 minutes to travel 25 mile. Select the statement(s) that are true. Multiple select question.
We find the unit rates
a) 45 mile in 8 minutes , we find the unit rate in miles per minute
8 minutes = 45 miles
1 minute = x
8 × x = 45 miles × 1 minute
x = 45 miles/8 minutes
x = 5.625 miles/ minute
b) 4 minutes to travel 25 miles. Find the unit rate is minutes per mile
25 miles = 4 minutes
1 mile = x
25miles × x = 4 minutes × 1
x = 4 minutes/25 miles
x = 0.16 minutes/mile
Hence, the correct option is
F) The rates are not equivalent.
