Answer: 
Step-by-step explanation:
Slope of two lines that are perpendicular to each other is 1.
If one line is 
, then its slope = 3 [by comparing to the linear equation y= mx+c, here m=3]
Let n be the slope of the required line, then
Equation of line with slope n and passers through (a,b) is
Equation of line with slope n= 
and passes through point ( 0,-4) :
Hence, Required equation :
The probability the pitch over the plate is a ball is 5:10. (5 balls and 10 strikes over the plate) should be written as 5:15 or 1:3 so this one is inaccurate.
Answer:
option C 13.5%
Step-by-step explanation:
As the heights of adults is normally distributed with mean=69 and standard deviation=2.5 so, the percent of men that are between 64 and 66.5 inches tall can be calculated as
P(64<X<66.5)=P[ (64-69)/2.5<(X-μ)/σ<(66.5-69)/2.5]
P(64<X<66.5)=P(-2<Z<-1)
P(64<X<66.5)=P(-2<Z<0)-P(-1<Z<0)
P(64<X<66.5)=0.4772-0.3413=0.1359
Thus, the percent of men are between 64 and 66.5 inches tall is 13.59%.
If we round the resultant quantity then it will be rounded to 13.6% but considering the given options, option C is most appropriate.
<u><em>PART A</em></u>
If 4 pounds = 10 dollars...
4/2 = 2
10/2 = 5
<u>So for 2 pounds, it would cost </u><u>$5.00</u>
Now for the 1 pound one
4/1 = 4
10/4 = 2.5
<u>For the 1 pound one, it would cost </u><u>$2.50</u>
<u></u>
<u><em>PART B</em></u>
We know that 4 pounds = 10 bucks
Since 1 is 1/10 of 10 (in the cost section), we have to apply this to the pounds section. 4/10 = 0.4. Therefore, <u>$1 = 0.4lb</u>
Now for the last blank...
Since $1 = 0.4, we multiply that by 9. 0.4 x <u>$9 = 3.6lb</u>
<u></u>
<em>HOPE THIS HELPED</em>
Answer:
Area = 33 inches squared
Step-by-step explanation:
The formula for the area of a kite is:
Area = ½ × (d)1 × (d)2
To find the first diagonal (d1):
d1 = 7 in + 4 in = 11 in
To find the second diagonal (d2):
The triangles on the right of the kite must be 3 4 5 triangle since it is a right triangle with a hypotenuse of 5 and a side of 4, we know half of a diagonal would be 3 inches.
d2 = 3 in + 3 in = 6 in
Now we can plug the diagonals into the area formula.
Area = ½ × 11 × 6 = 33 inches squared
