Answer:
0.964
Step-by-step explanation:
It's easier to approach this problem if you find the prob. that z is less than -1.8 and then subtract your result from 1.00.
The prob. that z is less than -1.8 can be found using any calculator with probability and statistic functions.
The prob. that z is less than -1.8 = normcdf(-100,-8) = 0.036. Here "cdf" stands for "cumulative probability density function)," -100 is far to the left of z = -1.8, and the result (0.036) is the area under the standard normal probability density curve to the left of z = -1.8.
Finally, subtract this 0.036 from 1.000, obtaining 0.964. This is the probability that z is greater than -1.8.
x=3 and y=−2
Step-by-step explanation:
Solve8x+5y=14for x:
8x+5y=14
8x+5y+−5y=14+−5y(Add -5y to both sides)
8x=−5y+14
8x8=−5y+148(Divide both sides by 8)
x=−58y+74
Step: Substitute−58y+74forxin−4x−5y=−2:
−4x−5y=−2
−4(−58y+74)−5y=−2
−52y−7=−2(Simplify both sides of the equation)
−52y−7+7=−2+7(Add 7 to both sides)
−52y=5
−52y−52=5−52(Divide both sides by (-5)/2)
y=−2
Step: Substitute−2foryinx=−58y+74:
x=−58y+74
x=−58(−2)+74
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=−2
We need to find the other base also in order for us to find out what the area of this is.
There is a factor of 10p in each term that is common, and thus, you can take them out of each term to yield 10p(p² - 196).
Now, 196 is a perfect square. That is, there is a real number that when multiplied by itself gives 196 (14).
Since p² - 14² is a difference of two squares, we can rewrite it as (p + 14)(p - 14).
So, our factored form is 10p(p + 14)(p - 14)
