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2 years ago

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:

$V(X) = 28$

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

$S(X) = \sqrt{28}$

$S(X) = 5.29$

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:

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