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Nostrana [21]
3 years ago
11

Suppose Riley is interested in the cost of a gallon of gas in her state. She finds the cost of a gallon of regular gas at 61 ran

domly selected gas stations and calculates the mean price of gas to be $2.62. The standard error of the mean is $0.05. What is the standard deviation of the sample ( ???? )? Please round your answer to two decimal places.
Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0

Answer:

The standard deviation of the sample is 0.0064.

Step-by-step explanation:

The standard deviation of a sample of length n of a population with standard deviation \sigma is given by the following formula:

s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

61 randomly selected gas stations. This means that n = 61

The standard error of the mean is $0.05. This means that \sigma = 0.05.

What is the standard deviation of the sample?

s = \frac{\sigma}{\sqrt{n}} = \frac{0.05}{\sqrt{61}} = 0.0064

The standard deviation of the sample is 0.0064.

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If shape 1 is similar to shape Il and shape II is similar to shape III, what does that mean for shape I and shape III?
blagie [28]

Answer:

Step-by-step explanation:

They are also similar.

Both have 4 right angles. Both have 2 sets of parallel lines. Both have 4 equal sides.  

But I think you are supposed to answer if figure 1 is similar to figure 2 and figure two is similar to figure 3 then by the transitive property, figure 1 is similar to figure 3.

7 0
3 years ago
60 pOINTS HELP PLEASE 4. A 20-kg child is tossed up into the air by her parent. The child is 2 meters off the ground traveling 5
Solnce55 [7]
K.E=0.5mv^2
GPE=mgh
The child has both K.E and GPE
ke = 0.5 \times 20 \times  {5}^{2}  \\ ke = 10 \times 25 \\ ke = 250 \: joules
gpe = 20 \times 9.81 \times 2 \\ gpe = 40 \times 9.81 \\ gpe = 392.4 \: joules
g is taken as 9.81
6 0
3 years ago
A metal hollow bar whose cross section and dimension are shown below weighs 8x10^3 kg/m^3 and measure 2m in length ..determine t
devlian [24]
1) We calculate the volume of a metal bar (without the hole).

volume=area of hexagon x length
area of hexagon=(3√3 Side²)/2=(3√3(60 cm)²) / 2=9353.07 cm²
9353.07 cm²=9353.07 cm²(1 m² / 10000 cm²)=0.935 m²

Volume=(0.935 m²)(2 m)=1.871 m³

2) we calculate the volume of the parallelepiped

Volume of a parallelepiped= area of the section  x length
area of the section=side²=(40 cm)²=1600 cm²
1600 cm²=(1600 cm²)(1 m² / 10000 cm²=0.16 m²
Volume of a parallelepiped=(0.16 m²)(2 m)=0.32 m³

3) we calculate the volume of a metal hollow bar:
volume of a metal hollow bar=volume of a metal bar -  volume of a parallelepiped

Volume of a metal hollow bar=1.871 m³ - 0.32 m³=1.551 m³

4) we calculate the mass of the metal bar

density=mass/ volume  ⇒ mass=density *volume

Data:
density=8.10³ kg/m³
volume=1.551 m³

mass=(8x10³ Kg/m³ )12. * (1.551 m³)=12.408x10³ Kg

answer: The mas of the metal bar is 12.408x10³ kg  or   12408 kg  


4 0
2 years ago
Is 2/5 greater than 2/3? ​
liubo4ka [24]

Answer:

no because 2/3 is greater

5 0
2 years ago
Read 2 more answers
It is 60 Celsius on the crust of a volcano. What is this number in Kelvin?
slega [8]

Answer:

333.15 Kelvin (K)

Step-by-step explanation:

When you convert from Celsius to Kelvin, you add 273.15

60 C + 273.15 = 333.15 K

So, that is the answer. Hope this helps!

6 0
3 years ago
Read 2 more answers
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