Answer:
<em>0m</em>
Step-by-step explanation:
Before the ball is thrown, it is at the ground level. At the ground level, the height is zero. Substitute h = 0 into the equation;
h(x)=-x^2+10x-16
0=-x^2+10x-16
x^2-10x+16 = 0
Factorize
x^2-8x-2x+16 = 0
x(x-8) - 2 (x-8) = 0
x-2 = 0 and x - 8 = 0
x = 2 and 8
At x = 2
h(2) = -2^2 + 10(2) - 16
h(2) = -4 + 4
h(2) = 0
<em>Hence the height of the ball at the time it is thrown is 0m</em>
Answer: a. 14% decrease or 86% of the whole
B. 137.5% increase
Step-by-step explanation:
A. Divide new price by old price and you get .86, change that to a percent by multiplying by 100. That equals 86%, the percent of change would be the difference of 100% to 86%, which is 14%
B. Use above explanation but don’t find the difference. 77/56= 1.375, 1.375*100=137.5
Answer:
-15
Step-by-step explanation:
-3(2)2-4(2)+5
-12-8+5
-20+5
5-20= -15
Answer:
Area= 4y^2 + 14y + 12
Perimeter = 10y + 16
Step-by-step explanation:
Area of a reactangle = length × width
= (4y+6) × (y+2)
= 4y^2 + 6y + 8y + 12
= 4y^2 + 14y + 12
Perimeter of a rectangle = 2 × (a +b)
= 2 × ( 4y + 6 + y+ 2)
= 2 × ( 5y + 8)
= 10y + 16
Answer:
The probability is 
Step-by-step explanation:
From the question we are told
The population proportion is 
The sample size is 
The number of graduate who had job is k = 209
Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is
Generally the standard deviation of this sampling distribution is
=> 
=> 
Generally the sample proportion is mathematically represented as
=> 
=> 
Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as
From the z table the area under the normal curve to the left corresponding to -3.022 is
=>
