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Jobisdone [24]
2 years ago
11

Which situation is best represented by the following equation? 11h+40=458

Mathematics
1 answer:
grin007 [14]2 years ago
7 0

Answer:

D

Step-by-step explanation:

11 would equal how much he gets 11 per hour, and then a forty dollar bonus and the total equals 458.

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Condense each expression. 5 log5 x - 1/4 log5 (8 -x)
allsm [11]

Step-by-step explanation:

5 log₅ x − ¼ log₅ (8−x)

log₅ x⁵ − log₅ (8−x)^¼

log₅ x⁵ − log₅ ∜(8−x)

log₅ (x⁵ / ∜(8−x))

4 0
2 years ago
The next two numbers in the series, 32000, 8000, 2000, 500 are
Travka [436]

32000 \div 4 = 8000
8000 \div 4 = 2000
2000 \div 4 = 500
500  \div 4 = 125
125 \div 4 = 31.25
3 0
2 years ago
Read 2 more answers
Suppose two different methods are available for eye surgery. The probability that the eye has not recovered in a month is 0.002
umka21 [38]

Answer:

0.4007

Step-by-step explanation:

Let's define the following events:

A: method A is used

B: method B is used

NR: the eye has not recovered in a month

R: the eye is recovered in a month

The probability that the eye has not recovered in a month is 0.002 if method A is used, i.e., P(NR|A) = 0.002, so P(R|A) = 0.998.

When method B is used, the probability that the eye has not recovered in a month is 0.005, i.e., P(NR|B) = 0.005, so P(R|B) = 0.995.

40% of eye surgeries are done with method A, i.e., P(A) = 0.4

60% of eye surgeries are done with method B, i.e., P(B) = 0.6

If an eye is recovered in a month after surgery is done in the hospital, what is the probability that method A was performed? We are looking for P(A|R), then, by Bayes' Formula

P(A|R) = P(R|A)P(A)/(P(R|A)P(A) + P(R|B)P(B)) = 0.998*0.4/(0.998*0.4 + 0.995*0.6) = 0.4007

4 0
2 years ago
A marketing representative wants to estimate the proportion of people in a state who like the new design on the packaging of a c
Effectus [21]

Answer:

The correct option is;

(B) Yes, because sampling distributions of population proportions are modeled with a normal model.

Step-by-step explanation:

Here we have the condition for normality being that where we have a population with a given mean and standard deviation, while a sufficiently large sample is drawn from the population while being replaced, the distribution of the sample mean p will be distributed normally according to central limit theorem.

8 0
2 years ago
A steel pipe 100 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If thee density of the steel is 7.8 g
ELEN [110]

Answer:

The mass of the pipe is 465\ g

Step-by-step explanation:

step 1

Find the volume of the steel pipe

The volume is equal to the area of outside circle minus the area of inside circle, multiplied by the length of the pipe

so

V=\pi [r2^{2}-r1^{2}]L

we have

r2=2/2=1\ cm ---> the radius is half the diameter

r1=1.8/2=0.9\ cm ---> the radius is half the diameter

L=100\ cm

\pi=3.14

substitute

V=(3.14)[1^{2}-0.9^{2}](100)=59.66\ cm^{3}

step 2

Find the mass

The mass is equal to the density multiplied by the volume

so

m=7.8(59.66)=465\ g

8 0
2 years ago
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