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Dmitry_Shevchenko [17]
3 years ago
15

Which statement is true?

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
4 0

Answer:

c

Step-by-step explanation:hope it hepls

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An automobile detailer can detail 20 cars in 10 hours. At this rate, how many cars can he detail in 1 hour?
trapecia [35]
20/10 is 2 so he can detail two cars an hour
5 0
3 years ago
A certain brand of flood lamps has a lifetime that is normally distributed with a mean of 3,750 hours and a standard deviation o
vesna_86 [32]
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>
7 0
3 years ago
What are the areas of each smaller rectangle and the large rectangle?
zhannawk [14.2K]

Answer:

Area of part 1: 3 * 5\sqrt{2} = 15\sqrt{2}

Area of part 2: 3\sqrt{2} * 5\sqrt{2}=30

Area of entire rectangle: 30 + 15\sqrt{2}

Step-by-step explanation:

The area of a rectangle can be found by using formula : length * width.

The area of part 1 can be simplified to this:

3 * 5\sqrt{2} = 15\sqrt{2}

Area of part 2:

3\sqrt{2} * 5\sqrt{2}=30

The area of the entire rectangle can simply be added from part 1 and part 2.

For area 2, remember multiplying the square root of 2 twice nullifies the square root. So it becomes 15 * 2, which is equal to 30.

7 0
3 years ago
P+7 – 5 = –10 – 3p<br><br> Step by step
oksian1 [2.3K]

Step-by-step explanation:

you add the three p to p and that's 4p and

4p+7-5=-10

4p-2=-10

+2=+2

4p=-8

devide by four on both side so p is-2

6 0
3 years ago
2
exis [7]
I believe it b I am sorry if iam wrong
7 0
2 years ago
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