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anastassius [24]
3 years ago
11

The mean amount of sleep needed for adults is 503 minutes per night. If the standard deviation for adult sleepers is [s]. What i

s the Z score associated with sleeping 503 minutes per night?
Mathematics
1 answer:
Paraphin [41]3 years ago
4 0

Answer:

Z score associated with sleeping 503 minutes = 0 minutes

Step-by-step explanation:

Given values of sleep per night for adults:

Mean value X = 503

Standard deviation σ = s

FInd:

Z score associated with sleeping 503 minutes

Computation:

⇒ P[X = 503]

⇒ P[(x - X) / σ] = [503 - 503] / s

⇒ Z score value = [0] / s

⇒ Z score value = 0

Z score associated with sleeping 503 minutes = 0 minutes

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Which equation has no solution?
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Answer: B

Step-by-step explanation:

4(x+3)+2x=6(x+2)

4x+12+2x=6x+12

6x+12=6x+12

12=12

All real solutions

5+2(3+2x)=x+3(x+1)

5+6+4x=x+3x+3

11+4x=4x+3

11=3

No solution

7 0
3 years ago
What is the equation of this line?<br> Please help it’s for a test.
saul85 [17]
The equation is y=-2x+1
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3 years ago
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At a point on the ground 35 ft from the base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height
jolli1 [7]

Answer:

Step-by-step explanation:

This is a question that uses the Pythagorean Theorem.

a = 35 feet

b = x            which is the height of the tree.

c = 3*x + 1   so we are trying to find x.  Substitute into a b and c

a^2 + b^2 = c^2

35^2 + x^2 = (3x + 1)^2        

35^2 + x^2 = 9x^2 + 6x + 1     Subtract x^2 from both sides.

35^2 = 8x^2 + 6x + 1               Subtract 35^2 from both sides.

0 = 8x^2 + 6x + 1 - 35^2

0 = 8x^2 + 6x - 1224

Does this factor?

(x + 12.75)(x - 12)

x - 12 = 0 is the only value that works.

x = 12

The tree is 12 feet high.

Note: I used the quadratic formula to solve this.

6 0
4 years ago
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Use the conversions given below to change 83 kg into stones.
eduard

83 kg converted to stones is 13 stones.

Step-by-step explanation:

Given,

We have to convert 83 kg to stones.

As it is given,

1 kg = 2.2 pounds

83 kg = 2.2*83 pounds

83 kg = 182.6 pounds

Now,

14 pounds = 1 stone

1 pound = \frac{1}{14}\ stones

182.6 pounds = \frac{1}{14}*182.6

182.6 pounds = 13.04 stones

Rounding to one dp

182.6 pounds = 13.0 stones

83 kg converted to stones is 13 stones.

Keywords: converting units, division

Learn more about division at:

  • brainly.com/question/10677255
  • brainly.com/question/10689103

#LearnwithBrainly

4 0
3 years ago
Please select the best answer from the choices provided
FromTheMoon [43]

Answer:

\sqrt{122}

Step-by-step explanation:

Given that,

Vector n = 4i-j

Vector m = 3i+3j

We need to find the value of m+2n.

Put all the values,

m+2n = (3i+3j)+2(4i-j)

= (3i+3j)+8i-2j

=11i+j

Magnitude of vector,

|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}

So the correct option is (c).

6 0
3 years ago
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