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lubasha [3.4K]
2 years ago
7

Which equation represents the line that passes through the points (6,3) and is parallel to y=1/2x+8

Mathematics
1 answer:
Dima020 [189]2 years ago
5 0

Answer:

y = \frac{1}{2} x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{2} x + 8 ← is in slope- intercept form

with slope m = \frac{1}{2}, thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (6, 3) into the partial equation

3 = 3 + c ⇒ c = 3 - 3 = 0

y = \frac{1}{2} x ← equation of parallel line

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A chemist examines 12 sedimentary samples for bromide concentraction. The mean bromide concentration for the sample date is 0.43
Umnica [9.8K]

Answer:

a) z = 1.645

b) Lower endpoint: 0.422cc/m³

Upper endpoint: 0.452 cc/m³

Step-by-step explanation:

Population is approximately normal, so we can find the normal confidence interval.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645. This is the critical value, the answer for a).

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*\frac{0.0325}{\sqrt{12}} = 0.015

The lower end of the interval is the sample mean subtracted by M. So it is 0.437 - 0.015 = 0.422cc/m³.

The upper end of the interval is the sample mean added to M. So it is 0.437 + 0.015 = 0.452 cc/m³.

b)

Lower endpoint: 0.422cc/m³

Upper endpoint: 0.452 cc/m³

4 0
3 years ago
Can someone please help me with this one? Oh and in the boxes I need to put a number NOT a check mark.
kari74 [83]
Grade 7 : Yes = 2 , No = 3
Grade 8 : Yes = 1 , No = 4
3 0
3 years ago
a piece of wood has a width of 5 cm and a hight of 10 cm its volume is 100 cm3 what is the length of the wood
WINSTONCH [101]
 <span>5 x 10 x l =100 
50 x l =100 
l= 2</span>
4 0
3 years ago
Read 2 more answers
If two cylinders are similar and the ratio between the altitude lengths is 2:3, what is the ratio of their volumes
hram777 [196]
Given:

ratio of altitude height = 2/3

Required:

ratio of volume

Solution:

Assuming that the only difference that the cylinders has is the height, we can solve for the ratio of the volume.

The volume of a cylinder is equal to πr²×height.

ratio of volume = πr²×2/πr²×3

We cancel the pi and the r² since we assume that the cylinders have the same radius.By cancelling, we are left with:

ratio of volume = 2/3
8 0
2 years ago
Round to the nearest hundredth 0.2189
Aleks04 [339]

Answer:

0.22

Step-by-step explanation:

4 or less let it rest, 5 or more add one more!.

8 is greater than 1 so you add one to 1 which equals 2, so your answer would be 0.22

6 0
2 years ago
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