Answer:
k=-15
Step-by-step explanation:
3(2x-5)=6x+k
open the bracket by multiplying the contents of the bracket by +3
6x-15=6x+k
collect.like.terms(C.L.T)
6x-6x-k=+15
-k=+15 or
-k=15
switch the signs equal to sign(=)
k=-15
If the formula is A = 1/2 * b * h and we know that A = 22 and h = 8, then we can write it down as:
22 = 1/2 * b * 8
22 = 1/2 * 8b
22 = 4b / ÷ 4 (both sides)
b = 5.5
Answer: Length of the base is <span><u>5.5 cm</u></span><u />.
Doublecheck:
1/2 * 5.5 * 8 =
= 2.75 * 8 =
= 22
Correct :)
Answer:
the answer is 9 14
Step-by-step explanation:
it's correct so then nine times blah equals 9 / 14
Given that mean=3750 hours and standard deviation is 300:
Then:
<span>a. The probability that a lamp will last for more than 4,000 hours?
P(x>4000)=1-P(x<4000)
but
P(x<4000)=P(z<Z)
where:
z=(x-</span>μ)/σ
z=(4000-3750)/300
z=0.833333
thus
P(x<4000)=P(z<0.8333)=0.7967
thus
P(x>4000)=1-0.7967=0.2033
<span>b.What is the probability that a lamp will last less than 3,000 hours?
P(x<3000)=P(z<Z)
Z=(3000-3750)/300
z=-2.5
thus
P(x<3000)=P(z<-2.5)=0.0062
c. </span><span>.What lifetime should the manufacturer advertise for these lamps in order that only 4% of the lamps will burn out before the advertised lifetime?
the life time will be found as follows:
let the value be x
the value of z corresponding to 0.04 is z=-2.65
thus
using the formula for z-score:
-2.65=(x-3750)/300
solving for x we get:
-750=x-3750
x=-750+3750
x=3000</span>
Well, 4+1=5, so we need to first find:
Ivan gets
Tanya gets
