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svetoff [14.1K]
3 years ago
5

Help me please. ------------------------------------------------

Mathematics
1 answer:
ladessa [460]3 years ago
5 0

Answer:

Alicia

Step-by-step explanation:

First, convert the mixed fractions into improper fractions

<u>Alicia</u>

Distance: 5 1/2 = 11/2 = 5.5 miles

Time: 1 2/5 = 7/5 = 1.4 hours

<u>Carlos</u>

Distance: 8 1/8 = 65/8 = 8.125 miles

Time: 2 1/2 = 5/2 = 2.5 hours

<u>Henry</u>

Distance: 3 2/3 = 11/3 = 3.6 reoccuring miles

Time: 1 1/10 = 11/10 = 1.1 hours

<u>Zoe</u>

Distance: 4 2/3 = 14/3 = 4.6 reoccuring miles

Time: 1 3/10 = 13/10 = 1.3 hours

After that, divide the distance by the time

Alicia = 5.5 / 1.4 = 3.93 ( 3 s.f )

Carlos = 8.125 / 2.5 = 3.25

Henry = 3.6 re / 1.1 = 3.3 reoccuring

Zoe = 4.6 / 1.3 = 3.54 ( 3 s.f )

Looking at these answers, we determine which rate is the greatest

Alicia = 3.93

Carlos = 3.25

Henry = 3.3 re

Zoe = 3.54

Alicia hiked the highest rate.

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Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I'.
Vedmedyk [2.9K]
Each point is moved 7 units down and 7 units right. Therefore it is translation.

Since a hexagon is translated 7 units right, x-coordinates of its points are increased by 7.

Since a hexagon is translated 7 units down, y-coordinates of its points are decreased by 7.

(x,y) \rightarrow (x+7,y-7)

8 0
3 years ago
¡¡ANSWER ME FIRST¡¡<br><br> Can you please answer these questions?
rusak2 [61]

Answer:

x= 6

Step-by-step explanation:

12x +4 = 10x+16 \\

You will subtract 10x from 12x and get 2x

2x + 4 = 16

Subtract 4 from 16 to get 12

2x = 12

You will then divide both sides by 2

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x= 6

The second one is hard to read but since ∠3 is 54° you should just start from there

Hope this helps

4 0
3 years ago
Read 2 more answers
A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of
notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

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 - 0.98}{2} = 0.01

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

That is z with a pvalue of 1 - 0.01 = 0.99, so Z = 2.327.

Now, find the margin of error 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 = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

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

0.0001 = 2.327\frac{0.0003}{\sqrt{n}}

0.0001\sqrt{n} = 2.327*0.0003

\sqrt{n} = \frac{2.327*0.0003}{0.0001}

(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2

n = 48.73

Rounding up

49 measurements are needed.

7 0
3 years ago
Whats the cube root of 216. Please Explain why also.​
aniked [119]
Answer:6
If you were to multiply 6*6*6 you would get 216
6 0
3 years ago
Carter hikes from the top of a hill that is 120 2/3 feet above sea level down
egoroff_w [7]

Answer:

77 feet

Step-by-step explanation:

Difference is asking for subtraction. The equation would look like:

Top of Hill - Valley = X

(P.S.- 2/3 is equal to . 67)

120.67 - 43.67 = 77

Marking as Brainliest is much appreciated.

5 0
3 years ago
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