Answer:
9.941*10^-6
Step-by-step explanation:
Probability of at most 1 means not more than 1 defective= probability of 1 or probability of 0
Probability of 1 = 50C1(0.25)(0.75)^49
Probability= 50(0.25)*7.55*10^-7
Probability= 9.375*10^-6
Probability of 0
= 50C0(0.25)^0(0.75)^50
= 1(1)(0.566*10^-6)
= 0.566*10^-6
Total probability
= 9.375*10^-6+ 0.566*10^-6
= 9.941*10^-6
Potential gravitational energy:
mgh
10kg • 10m/s^2 • 0.02 =
2 Joules
Answer:
cos(52°) = 18/x
x = 18·sec(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
In this geometry, that means ...
cos(52°) = 18/x
You can use the relation sec(x) = 1/cos(x) to rewrite this as ...
x = 18·sec(52°)
_____
You can also use the complementary angle and the complementary trig function.
sin(90° -52°) = 18/x
Answer:
13
Step-by-step explanation:
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
44% = 44/100 = 44 ÷ 100 = 0.44.
100% = 100/100 = 100 ÷ 100 = 1.
Decrease number by 44% of its value.
Percentage decrease = 44% × 13
New value = 13 - Percentage decrease
Answer:
4 or -625x^4 (Just in case I misunderstood)
Step-by-step explanation:
The degree is always the power of something. Since -5x has a power of 4, its degree is 4.
Just in case I misunderstood the question, I will solve it another way that I think you meant. (-5x)^4 is -5^4 times x^4.
-625 times x^4 is -625x^4.
