Answer:Which is the correct path of sperm during fertilization? cervix, vagina, fallopian tube, uterus fallopian tube, uterus, cervix, vagina vagina, cervix, uterus, fallopian tube uterus, fallopian tube, vagina, cervix
answer -2
MULTIPLY or DIVIDE the inequality by a NEGATIVE NUMBER
To solve the question we proceed as follows:
mean=142
standard deviation=14
a] Find the interval in which 68% of the data lies:
P(x<X)=68%=0.68
the z-score associated with this probability is:
P(z<Z)=0.47
but :
z=(x-mu)/sig
thus;
0.47=(x-142)/14
solving for x we get:
x=148.58
thus 68 percent of the data lie below 148.58
b]<span>what is the probability that a man picked at random from the unit will weigh more than 170 pounds?
</span>x=170
thus
P(x>170) will be:
z=(170-142)/14
z=2
Thus
P(x>170)=1-P(z<2)
=1-0.9772
=0.0228
c] <span>that he will weigh less than 128 pounds?
P(x<128)
z=(128-142)/14
z=(-14/14)=-1
Thus
P(z<-1)=0.1587</span>
1. If two secants intersect to form the vertex of an angle outside a circle and the sides of the angle intercept arcs on the circle, then the measure of the angle is equal to one-half the difference of the measures of the arcs intercepted by the sides of the angle. A prudent auxiliary line is a chord connecting points of intersection of the sides of the angle with the circle as shown at the right.<span>
</span><span>2. Inscribed angle theorem. The measure of an inscribed angle is equal to one-half the measure of its intercepted arc.
</span>
According to 2. : measure of arc RT = 2 m (angle S) = 60
Apply 1. : m(angle U) = (arc RS - arc RT )/2 = (84 - 60)/2 = 12