If Sarah walked 5 kilometers this weekend, about how many miles did she walk

What is the means-to-MAD ratio of the two data sets, expressed as a decimal?

frez [133]

<span>You have to calculate two separate measures, one for each set.The mean-to-MAD ratio is the mean divided by the MAD, i. e. mean / MAD. For the set 1, mean = 10.7 and MAD = 2.4, then mean / MAD = 10.7 / 2.4 = 4.4583. For the set 2, mean = 13.7 and MAD is 2.5, so mean/ MAD = 13.7 / 2.5 = 5.480.</span>

3 0

4 years ago

18. A science teacher has a supply of 20% saline solution and a supply of 50% saline solution. How much of each solution should

IrinaK [193]

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

There is a supply of 20% saline solution and a supply of 50% saline solution.

If a teacher wants to mix together to get 60 ml of 28% saline solution for an experiment.

We will use "Mixture Allegation" to find the quantity of each solution:

Ist type of solution II nd type of solution

20% 50%

28%

--------------------------------------------------------------------------------------

50%-28% : 28%-20%

22% : 8%

11 : 4

Since there is total quantity of 60 ml of solution.

So, Quantity of 20% solution in the mixture is given by

$\frac{11}{15}\times 60=11\times 4=44\ ml$

Quantity of 50% solution in the mixture is given by

$\frac{4}{15}\times 60=4\times 4=16\ ml$

Hence, there is 44 ml of the 20% solution and 16 ml of the 50% solution.

Therefore, Option 'B' is correct.

8 0

3 years ago

Can someone help me find the area thanks 20 points

mezya [45]

Step-by-step explanation:

To find the area of a rectangle and a parallelogram, use the formula:

$a = l \times h$

(Area = Length x Height)

Q4.

$a = 1 \frac{1}{4} \times 3\frac{1}{4} = 4 \frac{1}{16}$

Q6.

$a = 1 \frac{2}{3} = 3 \frac{1}{2} = 5 \frac{5}{6}$

6 0

4 years ago

Evaluate

Annette [7]

Answer:

=0.000342

Standard form is 3.4237×10 ${}^{-4}$

Step-by-step explanation:

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8 0

2 years ago

PLZ HELP! 20 POINTS!

agasfer [191]

Answer:

a) The error is that, the initial value is n=1 NOT n=3

b) The sum is $a_n=a_{n+1}+5=192$

c)The explicit formula is $a_n=5n+3$

The recursive formula is $a_n=a_{n+1}+5$ ,

Step-by-step explanation:

The given arithmetic series is 8 + 13 + ... + 43.

The first term is $a_1=8$ , the common difference is $d=13-8=5$

The nth term is given by:

$a_n=a_1+d(n-1)$

We substitute the values to get:

$a_n=8+5(n-1)\\a_n=8+5n-5\\\\a_n=3+5n$

To find how many terms are in the sequence we solve the equation:

$3+5n=43\\\implies 5n=43-3\\5n=40\\n=8$

The summation notation is $\sum_{n=1}^8(3+5n)$

The error the student made is in the initial value.

It should be n=1 NOT n=3

b) The sum of the arithmetic series is calculated using:

$S_n=\frac{n}{2}(a+l)$

We substitute o get:

$S_8=\frac{8}{2}(5+43)$

$S_8=4(48)$

$S_8=192$

c) The explicit formula we already calculated in a), which is $a_n=3+5n$

The recursive formula is given as:

$a_n=a_{n+1}+d$

We substitute d=5 to get:

$a_n=a_{n+1}+5$

6 0

3 years ago