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Serjik [45]
4 years ago
13

Find f(2x) if f(x) = 3 - 7x^2

Mathematics
1 answer:
lesantik [10]4 years ago
3 0

Answer:

3 - 28x^2

Step-by-step explanation:

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Suppose Marcy's rectangular laptop measures 12 inches by 9 inches. Find the diagonal measurement from corner A to corner B.
astraxan [27]

Answer:

the diagonal measurement from corner A to corner B=15 inches

Step-by-step explanation:

as we know that the loptop has the shape of a rectangle that means all it's angles are right angles. so we can use the pythogoras theorem to find out the diagonal of the rectangle.

let us denote the diagonal of rectangle by D and the sides of rectangle be denoted by X=12 and Y=9

so by using pythogoras theorem we have,

D^{2} =X^{2} +Y^{2}

D^{2}=225

D=15

Hence the diagonal measurement from corner A to corner B is 15 inches.

7 0
3 years ago
Read 2 more answers
​Recently, a random sample of 13-18 year olds was​ asked, "How much do you currently have in​ savings?" The data in the table re
Sonbull [250]

Answer:

μ = 235.38

σ = 234.54

Step-by-step explanation:

Assuming the table is as follows:

\left[\begin{array}{cc}Savings&Frequency\\\$0-\$199&339\\\$200-\$399&86\\\$400-\$599&55\\\$600-\$799&18\\\$800-\$999&11\\\$1000-\$1199&8\\\$1200-\$1399&3\end{array}\right]

This is an example of grouped data, where a range of values is given rather than a single data point.  First, find the total frequency.

n = 339 + 86 + 55 + 18 + 11 + 8 + 3

n = 520

The mean is the expected value using the midpoints of each range.

μ = (339×100 + 86×300 + 55×500 + 18×700 + 11×900 + 8×1100 + 3×1300) / 520

μ = 122400 / 520

μ = 235.38

The variance is:

σ² = [(339×100² + 86×300² + 55×500² + 18×700² + 11×900² + 8×1100² + 3×1300²) − (520×235.38²)] / (520 − 1)

σ² = 55009.7

The standard deviation is:

σ = 234.54

6 0
3 years ago
A contractor buys 16 and 3/10 tons of sand and uses 8 and 4/5 tons.how much sand is left?
Andreas93 [3]

Answer:

7.5 short tons

Step-by-step explanation:

16 3/10 - 8 4/5 = 7.5

7 0
4 years ago
Read 2 more answers
When lines are at the same distance apart over their lengths they are ?
svlad2 [7]

Answer:

parallel lines

Step-by-step explanation:

parallel lines are lines that do not meet each other

7 0
3 years ago
Identify which of these designs is most appropriate for the given​ experiment: completely randomized​ design, randomized block​d
sasho [114]

Answer:

Matched pairs design

Step-by-step explanation:

Looking at the options;

-It's not a completely randomized design because a randomized design will assign all individuals to a group which in this case it doesn't.

- It's not a randomized block design because randomized block design will group the subjects in question into 2 or more blocks which have a common characteristic and will then randomly assign subjects in each of the blocks.

-It's a matched pair because every individual/subject undergoes measurements both before and after being treated with the drugs.

Thus, the correct option is matched pairs design.

7 0
3 years ago
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