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Firlakuza [10]
3 years ago
7

Function: y=3 sin(x) + 5

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The function has a maximum value when sinx = 1 , then

y = 3(1) + 5 = 3 + 5 = 8

The function has a minimum value when sinx = - 1, then

y = 3(- 1) + 5 = - 3 + 5 = 2

Thus

range is 2 < y < 8

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In a game the player wins if he rolls a 6 on a number cube.
MakcuM [25]

Answer:

Percent chance of winning  = A / (A +B) = 1 / (1 +6)  * 100 = 14.29 %

Step-by-step explanation:

3 0
4 years ago
Three hundred twenty-six thousandths of a pond what is the weight of the bag of fruit,in pounds,written in expanded
NeTakaya
Just break it down into simple numbers
7 0
3 years ago
Solve the system. -3x-y=10; y-4z=-13; x-4y+z=4
kvasek [131]

9514 1404 393

Answer:

  (x, y, z) = (-3, -1, 3)

Step-by-step explanation:

Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.

Use the last equation to write an expression for z.

  z = 4 -x +4y

Substitute this into the second equation:

  y -4(4 -x +4y) = -13

  y -16 +4x -16y = -13

  4x -15y -3 = 0

In genera form, the first equation can be written as ...

  3x +y +10 = 0

Now, the solution to these two equations can be found to be ...

  x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"

  y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation

  z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z

The solution to the system is (x, y, z) = (-3, -1, 3).

_____

<em>Additional comment</em>

Written as an augmented matrix, the system of equations is ...

  \left[\begin{array}{ccc|c}-3&-1&0&10\\0&1&-4&-13\\1&-4&1&4\end{array}\right]

4 0
3 years ago
A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sa
Helga [31]

Answer:

The answer is "It would decrease, but not necessarily by 8%".

Step-by-step explanation:

They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.

6 0
3 years ago
This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probabili
Kruka [31]

Answer: 7/12

Step-by-step explanation:

number of times it landed on A = 6

number of times it landed on B = 21

number of times it landed on C = 9

Total number = 36

The empirical probability that the spinner will land on B is given by

P(B) = number of times it landed on B / Total number , that is

p(B) = 21/36

P(B) =7/12

Note: Empirical means verifiable by observation or experience rather than theory and it was verified that it landed on B 21 times.

6 0
3 years ago
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