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stiv31 [10]
3 years ago
9

use the five step plan to solve the word problem. Show all five steps in youre response. doug is twice anns age. doug is 34 year

s old. how old is ann?
Mathematics
1 answer:
vovangra [49]3 years ago
3 0
The answer is anne is 17. You would need to right the correct equation 34=2x. X is anne's age. Then you would divide both sides by 2 (really just divide 34 by 2). 34/2=17.
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3. The product of and<br>29<br>-26<br>3<br>is ...​
eimsori [14]

Answer:

(29-26) * 3 = 9

Step-by-step explanation:

7 0
3 years ago
X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to fo
lapo4ka [179]

Answer:

0.6247

Step-by-step explanation:

The formula for calculating a Z-score is Z = (X - μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question,

μ = 51, σ = 10. We are to find P(36 ≤ X ≤ 56)

Step 1

Find the Probability of X ≤ 36

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 36 - 51/ 10

Z = -15/10

Z = -1.5

We find the Probability of Z = -1.5 from Z-Table

P(X <36) = P(X = 36) = P(Z = -1.5)

= 0.066807

Step 2

Find the Probability of X ≤ 56

μ = 51, σ = 10

Z = (X - μ)/σ

Z = 56 - 51/ 10

Z = 5/10

Z = 0.5

We find the Probability of Z = 0.5 from Z-Table:

P(X < 56) = P(X = 56) = P(Z = 0.5)= 0.69146

Step 3

Find P(36 ≤ X ≤ 56)

P(36 ≤ X ≤ 56) = P(X ≤ 56) - P(X ≤ 36)

= P( Z = 0.5) - P(Z = -1.5)

= 0.69146 - 0.066807

= 0.624653

Approximately to 4 decimal places , P(36 ≤ X ≤ 56) = 0.6247

7 0
4 years ago
A homeowner is installing a swimming pool. You have been asked to install a circuit to operate a 600-watt underwater light and a
insens350 [35]

Answer:

The answer is given below

Step-by-step explanation:

The loads in the circuit are continuous duty, so the circuit can only loaded to 80% of its current rating.

Calculate 80% current rating of the circuit breaker.

Icb = [ 80/100] (20 A)

     =  (O.8) (20 A )

     = 16 A

Now we assume that the value of supply voltage is 120 V

Now we will calculate current flows via under water light which will be taken as  Load 1

<em>Ii = </em>500 W/120 V

  = 4.167 A

Current via the circulating pump which will be taken as Load 2 IS 8.5 A

<em>I = </em>load1 + load 2

<em>    = 4.167 A + 8.5 A</em>

<em>   = 12.67 A</em>

The total current in the circuit obtained which is less than the circuit breaker rating current. Therefore, the power can be operated for both the loads.

3 0
4 years ago
Please help me please
gizmo_the_mogwai [7]

Answer:

SA=390

Step-by-step explanation:

9*14=126

126+126=252

14*3=42

42+42=84

9*3=27

27+27=54

252+84+54=390

3 0
3 years ago
A scuba diver dove from the surface of the ocean to an elevation of −49 9/10 feet at a rate of −9.5 feet per minute. After spend
laila [671]

Answer:

Rate of change  =  4,06 f/min

Step-by-step explanation:

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The time for that ascendent maneuver is total time 17 1/8 minutes  - spended time in the elevation 10 minutes, then

17 1/8  =  137/8

137/8  - 10   =  ( 137 - 80 ) /8   =  57/8 minutes

The rate of change in the diver´s elevation is

289 / 10 / 57/8

Rate of change  =  289*8/ 57*10

Rate of change  =  2312 / 570 ft/min

Rate of change  =  4,06 f/min

7 0
3 years ago
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