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yuradex [85]
3 years ago
6

If 60 equals twice a number added to itself, find the number.

Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0
Okay. 60 equals twice the number added to itself. That would be 30, because 60 is twice of 30 and 30 added to itself is 60. The number is 30.
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Which expression is equivalent to (2g^3+4)^2
babunello [35]
(2g^3+4)^2= 4g^6 + 16g^3 + 16
The answer is B.
7 0
3 years ago
Read 2 more answers
A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What pe
kicyunya [14]

Answer:

(a) 5.48%

(b) 17.82 years

(c) 21.19%

(d) 15.21 years

Step-by-step explanation:

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

µ=12 years and σ=2.5 years.

(a) What percent of the radios will function for more than 16 years?

For x = 16

z = 16 - 12/2.5

z = 1.6

Probability value from Z-Table:

P(x<16) = 0.9452

P(x>16) = 1 - P(x<16)

1 - 0.9452

= 0.054799

Converting to percentage = 0.054799 × 100

= 5.4799%

Approximately = 5.48%

(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.

find the z score of the 99th percentile = 2.326

Hence:z = (x-μ)/σ

2.326 = x - 12/2.5

Cross Multiply

2.326 × 2.5 = x - 12

5.815 = x - 12

x = 12 + 5.815

x = 17.815

Approximately = 17.82 years

(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?

When x < 10

Hence,

z = 10 - 12/2.5

z = -0.8

Probability value from Z-Table:

P(x<10) = 0.21186

Converting to percentage

0.21186 × 100

= 21.186%

Approximately = 21.19%

(d) If 10% of the radios will function for more than X years, find X.

The z score would be : 100 - 10%

= 90th percentile z score

We find the z score of the 90th percentile = 1.282

Hence:z = (x-μ)/σ

1.282 = x - 12/2.5

Cross Multiply

1.282 × 2.5 = x - 12

3.205 = x - 12

x = 12 + 3.205

x = 15.205

Approximately = 15.21 years

4 0
3 years ago
For the following data at the near-ground level, which location will residents likely see dew on their lawns in the morning? Gro
Zarrin [17]

Answer: CITY B: Dew Point Temperature = 45°F, expected low Temperature = 50°F

Step-by-step explanation:

CITY C: Dew Point Temperature = 25°F, expected low Temperature = 20°F

CITY A: Dew Point Temperature = 65°F, expected low Temperature = 60°F

CITY B: Dew Point Temperature = 45°F, expected low Temperature = 50°F

city B is going to have dew on their lawn in the morning as the dew point temperature is less than the lowest temperature.

When surface temperature drops, eventually reaching the dew point, atmospheric water vapor condenses to form small droplets on the surface. Thus dew will be formed as the conditions are suitable only for city B.

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3 years ago
a spinner has 36 equal sections numbered from 1 to 36. what is the probability of the spinner landing on a number greater than 2
SCORPION-xisa [38]

Answer:

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Step-by-step explanation:

3 0
3 years ago
What is 2/5 divided 3/4
Zepler [3.9K]

Answer:

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Step-by-step explanation:

To divide by a fraction, change the division to a multiplication, and flip the fraction.

2/5 / 3/4 = 2/5 * 4/3 = 8/15

4 0
3 years ago
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