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Ira Lisetskai [31]
3 years ago
7

43.0129 to the nearest hundredths

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
6 0

Answer:

43.01

Step-by-step explanation:

the number is 43.0129, and your rounding it to the hundredths. The hundredths place is 1:

43.0<u>1</u>29

because 2 is below 4 you round it to 0 and all of the following numbers after it:

43.0100

so to simplify your answer it's 43.01

S_A_V [24]3 years ago
5 0

Answer:

43.01

Step-by-step explanation:

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The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la
max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A total of 15 devices will be used.

This means that n = 15

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that p = 0.05

What is the probability that one of the devices fail?

This is P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658

36.58% probability that one of the devices fail

7 0
3 years ago
Simplify the numerical expression 5.75 - 1/2 (20÷2.5) ÷ 2+6
svet-max [94.6K]

Answer:

5.75 - 1/2 times 8 divided by 2 + 6

Step-by-step explanation:

3 0
3 years ago
Firefighters used a ladder 50 feet high to reach a window that was 30 feet above the ground. From the same point on the ground,
deff fn [24]
First since 2 of the options ask for the width of BM lets solve for it using the Pythagorean theorem for both sides of point L:
a² + b² = c²
30² + b² = 50²
b² = 50² - 30²
b² = 1600
b = 40    Line BL = 40 ft
Since the ladder is 50 feet it is the same length on the other side as well
a² + b² = c²
40² + b² = 50²
b² = 50² - 40²
b² = 900
b = 30        line LM is 30 ft
SO line lm + line bl = 30 + 40 = 70 ft
A is true because ^
B isn't true because as we solved for earlier, BL is 40
C is true because line LM is in fact 30 ft as we solved for
D is not true because as we said earlier BM is 70
E is true because the same ladder was used on both sides of the street

7 0
3 years ago
Write an expression to match the statement below Add 5 to 48 divided by 12
Sergeeva-Olga [200]

Answer:

49

Step-by-step explanation:

48+ 5 = 53 divided by = 49

8 0
3 years ago
How many cubic centimeters are there in 5.78 yd3 ?
zzz [600]

We have to determine the number of cubic centimeters in 5.78 cubic yards.

Since there are 764555 cubic centimeters in 1 cubic yard.

To convert cubic yard to cubic centimeters, we have to multiply the given cubic yards with 764555.

Therefore, 5.78 cubic yards

= 5.78 \times 764555

= 4419127 cubic centimeters

Therefore, there are 4419127 cubic centimeters in 5.78 cubic yards.

4 0
4 years ago
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