Answer:
K 20
Step-by-step explanation:
f(x) = 7x2 - 4x
f (2) = 7 (2)^2 - 4(2)
= 28 - 8
= 20
Since they replaced the x inside f(x) with 2, just do that the same to the right side, change all x into 2
Answer:
Step-by-step explanation:
Area = 42x + 56
length * width = 14* 3x + 14*4
14 * width = 14*(3x+4)
Answer:
Step-by-step explanation:
1. Cos 52° = adj/hyp
Cos 52° = x/13
x = 13×cos 52°
x = 8.00
2. Sin70° = opp/hyp
Sin70° = 30/x
x sin70° = 30
x = 30/sin70°
x = 31.93
x ≈ 32
3. Tan∅ = opp/adj
Tan∅ = 45/51
Tan∅ = 0.8824
∅ = tan-¹(0.8824)
∅ = 41.42°
∅ ≈ 41°
Answer:
Step-by-step explanation:
22.75/6 boxes is $3.79 per box
30/8 boxes is $3.75 a box
38/10 boxes is $3.80 a box
68/18=3.70 a box if you combine the last two.
So no, the 6 boxes at $3.79 a box is not a better buy.
Answer:
Step-by-step explanation:
Hello!
The variable of study is X: Temperature measured by a thermometer (ºC)
This variable has a distribution approximately normal with mean μ= 0ºC and standard deviation σ= 1.00ºC
To determine the value of X that separates the bottom 4% of the distribution from the top 96% you have to work using the standard normal distribution:
P(X≤x)= 0.04 ⇒ P(Z≤z)=0.04
First you have to use the Z tables to determine the value of Z that accumulates 0.04 of probability. It is the "bottom" 0.04, this means that the value will be in the left tail of the distribution and will be a negative value.
z= -1.75
Now using the formula of the distribution and the parameters of X you have to transform the Z-value into a value of X
z= (X-μ)/σ
z*σ = X-μ
(z*σ)+μ = X
X= (-1.75-0)/1= -1.75ºC
The value that separates the bottom 4% is -1.75ºC
I hope this helps!
