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MA_775_DIABLO [31]
3 years ago
6

Convert the following angle to decimal degree. a=137DEGREES 38' 44"

Mathematics
1 answer:
Norma-Jean [14]3 years ago
4 0
137hahahahacan this be a free.
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The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard d
Ad libitum [116K]

Answer: a. 0.14085

b. 3.826 x 10^{-3}

c.  0.5437

d. 0.0811  

Step-by-step explanation:

Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 , \mu = $527

Given standard deviation , \sigma = $160

Let X = amount spent on a randomly selected child

Also Z = \frac{X-\mu}{\sigma}

a. Probability(X>$700) = P(\frac{X-\mu}{\sigma} > \frac{700-527}{160}) = P(Z>1.08125) = 0.14085 {Using Z % table}

b. P(X<100) = P( Z < \frac{100-527}{160}) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x 10^{-3}

c. P(450<X<700) = P(X<700) - P(X<=450)

   P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592

   P(X<=450) = P(Z<= \frac{450-527}{160}) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155

   So final   P(450<X<700) =  0.8592 - 0.3155 = 0.5437

d. P(X<=300) = P(Z<= \frac{300-527}{160}) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811                                                                        

All the above probabilities are calculated using Z % table along with interpolation between two values.

7 0
3 years ago
Ill mark you brainlist plz help if you put something random I will report you! I
Kisachek [45]

Answer:

x = 0

y = 2

Step-by-step explanation:

8 0
3 years ago
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A painter leans a 12-foot ladder against a house. The base of the ladder is
tatiyna

11.3 feet.

12 squared (144) minus 4 squared (16) is equal to 128. The square root of 128 is approximately 11.3.

8 0
3 years ago
Planes A and B are shown.
Sliva [168]

Answer:its a or b or c or d or mainly bbbbbbb

Step-by-step explanation:

8 0
3 years ago
Elena plans to ride her bicycle 5 miles to a park and then ride several times
Aneli [31]

Option A

Elena need to ride around the  loop four or more times

<em><u>Solution:</u></em>

Given that Elena plans to ride her bicycle 5 miles to a park and then ride several times  around a loop in the park that is 3 miles long

Then she will ride the same way  home

She wants to ride a total of at least 22 miles

<em><u>Given inequality is:</u></em>

3t + 10 > 22

Where "t" is the number of times Elena rides around the loop

<em><u>Solve fot "t" in given inequality</u></em>

3t + 10 > 22

Subtract 10 both sides

3t + 10 - 10 > 22 - 10

3t > 12

Divide by 3 both sides

t > 4

The solution is all real numbers greater than or equal to 4

Which means 4 or more times

Therefore, Option A is correct.

4 0
4 years ago
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