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Gennadij [26K]
2 years ago
10

If the variance is 28 kg2 what is the standard deviation?

Mathematics
1 answer:
ikadub [295]2 years ago
7 0

Answer:

The standard deviation is 5.29 kg.

Step-by-step explanation:

The standard deviation is the square root of the variance. Mathematically, we have that:

S(X) = \sqrt{V(X)}

In this problem, we have that:

V(X) = 28

So

S(X) = \sqrt{V(X)}

S(X) = \sqrt{28}

S(X) = 5.29

The standard deviation is 5.29 kg.

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Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant
pychu [463]

Answer:

A=152

K= -Ln(0.5)/14

Step-by-step explanation:

You can obtain two equations with the given information:

T(14 minutes) = 114◦C

T(28 minutes)=152◦C

Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

114=190-Ae^{-14k} (I) \\152=190-Ae^{-28k}(II)

Applying the following property of exponentials numbers in (II):

e^{a}.e^{b}=e^{a+b}

Therefore e^{-28k} can be written as e^{-14k}.e^{-14k}

152=190-Ae^{-14k}.e^{14k}

Replacing (I) in the previous equation:

152=190-76e^{-14k}

Solving for k:

Subtracting 190 both sides, dividing by -76:

0.5=e^{-14k}

Applying the base e logarithm both sides:

Ln(0.5)= -14k

Dividing by -14:

k= -Ln(0.5)/14

Replacing k in (I) and solving for A:

Ae^{-14(-Ln(0.5)/14)}=76\\Ae^{Ln(0.5)} =76\\A(0.5)=76

Dividing by 0.5

A=152

7 0
3 years ago
Determine the solutions to the quadratic function
Charra [1.4K]

Answer:

B.

Step-by-step explanation:

5 0
3 years ago
Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete
Helga [31]

Answer:

Becky, because her justification for the second statement should be "definition of supplementary angles" rather than "angle addition postulate."

Step-by-step explanation:

Becky completed the proof incorrectly because her justification for the second statement is not totally correct.

Angle addition postulate does not really apply here, as the sum of 2 angles may not give you exactly 180°.

However, the second statement, m<AKG + m<GKB = 180° and m<GKB + m<HKB = 180°, can be justified by the "Definition of Supplementary Angles".

The sum of supplementary angles = 180°.

Therefore, Becky completed the proof incorrectly.

6 0
2 years ago
SOMEONE PLS HELP ME ON ALL THESE ASAP!!!!!​
natulia [17]

Answer:

4Q a). angle1=55°

angle2=23°

angle3=63°

angle4=125°

5Q. x=35°

6Q. y=15°

8Q. C. 28°

9Q. Yes, they are congruent by S.S.S. congruence

10Q. A.A.S.

11Q. S.S.S.

12Q. Not possible

13Q. S.A.S.

14Q. S.S.S.

15Q. 66°

16Q. 24°

I hope it will be useful.

Step-by-step explanation:

7Q. angle1=angle3 (Alternate Interior Angles)

angle2=angle4 (A.I.A.)

angleXWZ=angleXYZ (opposite angles of a parallelogram)

By A.A.A. congruence criteria, they are congruent.

8Q. Hint: Make the diagram first!

AngleC is halved since M is the mid-point.

angleA=angleB (Property of an isosceles triangle)

which implies, angleAMC=angleBMC=90°

Thus, CM is perpendicular to AB.

I hope it will be useful.

7 0
3 years ago
3x+17+5x=7x+10<br> Solve for x
Citrus2011 [14]
3x+17+5x=7x+10
Simplify:
3x+5x+17=7x+10
8x+17=7x+10
Get the variables on one side:
8x-7x+17=7x-7x+10
x+17=10
One-step equation:
x=-7

3 0
3 years ago
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