1 year ago

Simplify the expression.

Mathematics

1 answer:

Neporo4naja [7]1 year ago

3 0

Answer:

Step-by-step explanation:

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Pamela owns 15 T-shirts, 3 of which are yellow.

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3/15 is the probability

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2 years ago

Imelda, Susan, and Clara are driving go-carts around a track. Imelda takes 14 minutes, Susan takes 18 minutes, and Clara takes 1

RoseWind [281]

Answer:

630 minutes.

Step-by-step explanation:

That would be the lowest common multiple of 10, 14 and 18

10 = 2 x 5

14= 2 x 7

18 = 2 x 3 x 3

The LCM = 2 x 3 x 3 x 5 x 7

= 630.

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3 years ago

Find the midpoint of the line segment with end coordinates of:<br> (1,4) and (5,2)

poizon [28]

Midpoint formula: (x1+x2)/2, (y1+y2)/2
(1+5)/2 = 6/2 = 3 for x
(5+2)/2 = 7/2 = 3.5 for y
Midpoint: (3,3.5)

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2 years ago

Sharon is decreasing the size of a diagram of a leaf that is 30 centimeters long by 10 centimeters wide. If the reduced diagram

ivanzaharov [21]

10 : 30
4: x [x is the length]
10/4=2.5
30/2.5=x=12
length of the diagram is 12cm

5 0

3 years ago

xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl

Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

$E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)$ $\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\ \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}$

Step 2:

Find the standard deviation.

$Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}$ $=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)$ $=4(0.25)+1(0.05)+0(0.15)+1(0.55)$ $=1+0.05+0+0.55=1.60$

Thus, the standard deviation is 1.60

Answer:

1.60

8 0

1 year ago