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3 years ago

The variance of any standard normal distribution is________. a) 0.5.b) -0.5.c) 0.d) 1.

Mathematics

1 answer:

goblinko [34]3 years ago

3 0

Answer:

d) 1

Step-by-step explanation:

The variance of standard normal distribution is simply put as 1.

If you take it a bit further, even though not asked, the mean of a standard normal distribution is 0.

Therefore, the conclusion is that, the variance of a standard normal distribution is 1, while the mean of the same standard normal distribution is 0

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An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.

Artist 52 [7]

Answer:

7.5 m

Step-by-step explanation:

circumference = 360/72 × 3π = 15π

so the radius of the circle =

15π / 2π = 7.5 m

7 0

3 years ago

the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years

Yuliya22 [10]

Answer: 125 g

<u>Step-by-step explanation:</u>

$A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k$

$\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125$

8 0

3 years ago

If you can help me with this you are AMAZING!!!!!!!!!!

Tresset [83]

Answer:

a. 2 books

n/3 books

b. 9 books

a. 8 tomatoes

2/5x

Step-by-step explanation:

6/3 = 2

n/3

27/3 =9

2/5 *20 = 40/5 =8

2/5*x 2/5x

plz mark branliest if this helps

3 0

2 years ago

Read 2 more answers

At Chester’s Bakery, a box of 12 donuts sells for $8.50. What is the unit price of the donuts in the box, rounded to the nearest

sergiy2304 [10]

You would take 8.50 and divide it by 12.
to get $0.71

7 0

3 years ago

A map has a scale of 1 cm to 14 km.

Alenkinab [10]

Answer:

Real distance between Manchester and London = 263.2 km

Step-by-step explanation:

Given that:

A map has a scale of 1 cm = 14 km

Ratio = 1 : 14

Distance from Manchester to London = 18.8 cm

Let,

x be the real distance between Manchester and London.

Ratio = 18.8 : x

As the relationship is proportional,

1 : 14 :: 18.8 : x

Product of mean = Product of extreme

14*18.8 = x

x = 263.2 kilometers

Hence,

Real distance between Manchester and London = 263.2 km

6 0

2 years ago