Answer:
184
Step-by-step explanation:
bottom rectangle area = 16 x 10 = 160
middle rectangle area= 3 x 4 = 12
Top triangle= 1/2(bh) = 8 x 3 = 24 (1/2) = 12
160+ 12 +12= 184
Answer:
2437.5 Miles
Step-by-step explanation:
first find how many miles 1 inch is 625/5 = 125
next you multiply 19.5 * 125 = 2437.5 miles
Answer:
B, but I may be wrong.
Step-by-step explanation:
The correct option is: a female who weighs 1500 g
<em><u>Explanation</u></em>
<u>Formula for finding the z-score</u> is: 
Newborn males have weights with a mean
of 3272.8 g and a standard deviation
of 660.2 g.
So, the z-score for the newborn male who weighs 1500 g will be.......

According to the normal distribution table, 
Now, newborn females have weights with a mean
of 3037.1 g and a standard deviation
of 706.3 g.
So, the z-score for the newborn female who weighs 1500 g will be.......

According to the normal distribution table, 
As we can see that the <u>probability that a newborn female has weight of 1500 g is greater than newborn male</u>, so a newborn female has the weight of 1500 g that is more extreme relative to the group from which he came.
Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation = 
For real roots,

p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.