Answer:
Required Probability = 0.97062
Step-by-step explanation:
We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.
Let X = weight of the newborn baby, so X ~ N( )
)
The standard normal z distribution is given by;
               Z =  ~ N(0,1)
 ~ N(0,1)
Now, probability that the weight will be less than 5026 grams = P(X < 5026)
P(X < 5026) = P(  <
 <  ) = P(Z < 1.89) = 0.97062
 ) = P(Z < 1.89) = 0.97062
Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .
 
        
             
        
        
        
The formula for the area of a triangle is base*height/2. So lets input the number.
15*40=600/2=300 cm2
        
             
        
        
        
Answer:
x = 61
Step-by-step explanation:
Left hand triangle containing 1 angle of 74
Label the other angle opposite the marked side also as 74
Find the third angle. Call it y.
y + 74 + 74 = 180           Combine like terms
y + 148 = 180                 Subtract 148 from both sides.
y = 180 - 148
y = 32
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Now work with the triangle on the right.
label the angle making up the right angle = z
32 + z = 90                             These two angles are complementary = 90
32 - 32 + z = 90 - 32              Subtract 32 from both sides
z = 58                                      Use 58 wherever you see z
x + x + z = 180                         Substitute
2x + 58 = 180                          Subtract 58 from both sides
2x = 122                                  Divide by 2
x = 61
 
        
                    
             
        
        
        
Transversal is the awnser
        
             
        
        
        
A generic point on the graph of the curve has coordinates

The derivative gives us the slope of the tangent line at a given point:

Let k be a generic x-coordinate. The tangent line to the curve at this point will pass through  and have slope
 and have slope 
So, we can write its equation using the point-slope formula: a line with slope m passing through  has equation
 has equation

In this case,  and
 and  , so the equation becomes
, so the equation becomes

We can rewrite the equation as follows:

We know that this function must give 0 when evaluated at x=0:

This equation has no real solution, so the problem looks impossible.