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schepotkina [342]
3 years ago
9

Sam watched television the past five nights for 42 minutes, 23 minutes, 56 minutes, 19 minutes, and 67 minutes. What was the med

ian amount of time Sam watched TV the past five nights?
Mathematics
1 answer:
guajiro [1.7K]3 years ago
3 0

Answer:

42 minutes is the median amount of time

Step-by-step explanation:

The Median is the middle value of data set.

If there is "odd" number of numbers, and there are n numbers, the median is:

(n/2) + 1 th  number

If there is "even" number of numbers, and there are n numbers, the median is:

Average of n/2th and (n/2) + 1 th number

Here, we have 5 numbers, so the median would be:

(5/2) + 1 th number

That is

3rd number

But, we need to arrange the numbers from least to greatest. Lets write it:

19, 23, 42, 56, 67

The third number is 42, this is the median

You might be interested in
Greg's grocery store placed an order for yogurt. The store ordered 1,020 cartons of yogurt. Each carton ordered was blueberry, P
marin [14]

Answer:

  544

Step-by-step explanation:

The ratios of cartons are ...

  B : P = 2 : 1

  S : L = 2 : 1

  L : B = 2 : 1

Combining these into a single set of ratios, we have ...

  S : L : B : P = 8 : 4 : 2 : 1

Then the proportion of the order that is strawberry is ...

  8/(8+4+2+1) = 8/15

and the number of strawberry cartons is ...

  (8/15)·1020 = 544

The store ordered 544 cartons of strawberry yogurt.

4 0
3 years ago
Find the domain of the following piecewise function.
il63 [147K]

Answer:

(2,8]

Step-by-step explanation:

Given

The attached piece wise function

Required

The domain

To do this, we simply consider the inequalities that bound the values of x.

The inequalities are:

2 < x < 4     4 < x < 8   and   x \ge 8

Combine the first two inequalities:

2 < x < 8    and   x \ge 8

For the inequality to be true, we must have:

2 < x \le 8

In interval notation, the inequality is:

(2,8]

6 0
3 years ago
Does anybody <br> know the answer
nordsb [41]

1. Part 14/25
Total .56
Percent56%
2. 16/20
Total. .8
Percent 80%
3. 11/20 55%
4. 40
5. 300%
6. 140
4 0
3 years ago
Read 2 more answers
Please help!!!! MAX POINTS
fgiga [73]
This is 8). the line is 5 on the y-axis.

6 0
3 years ago
Read 2 more answers
EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi
Valentin [98]

If there is such a scalar function <em>f</em>, then

\dfrac{\partial f}{\partial x}=4y^2

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}

\dfrac{\partial f}{\partial z}=16ye^{4z}

Integrate both sides of the first equation with respect to <em>x</em> :

f(x,y,z)=4xy^2+g(y,z)

Differentiate both sides with respect to <em>y</em> :

\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=4e^{4z}

Integrate both sides with respect to <em>y</em> :

g(y,z)=4ye^{4z}+h(z)

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

f(x,y,z)=4xy^2+4ye^{4z}+h(z)

\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}

\implies\dfrac{\mathrm dh}{\mathrm dz}=0

Integrate both sides with respect to <em>z</em> :

h(z)=C

So we end up with

\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}

7 0
3 years ago
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