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valentinak56 [21]
3 years ago
8

What is the range of a cosine function?

Mathematics
1 answer:
klemol [59]3 years ago
4 0
The smallest y can be is y = -1. The largest it can be is y = 1. The value of y can be anything in between. The value of y is a real number.

Answer: Choice D) All real numbers between -1 and 1 including -1 and 1

Note: we can write that as -1 \le y \le 1 which in interval notation would look like [-1, 1]. The square brackets tell us to include the endpoints.
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Which linear function represents the line given by the point-slope equation y +7=(x + 6)?
tiny-mole [99]

Answer:

O f(x) = -x-1

Step-by-step explanation:

We want to isolate the 'y' variable, so we will subtract 7 from both sides.

y = x + 6 - 7

y = x -1

6 0
3 years ago
PLS HELP PLS HELP! What is the average speed Ben traveled in leg C of his journey?
mixer [17]

Answer:

the answer is 35

Step-by-step explanation:

35 because c was next to the 35

4 0
3 years ago
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Help me please been trying to find an answer to these questions?
AleksandrR [38]

Answer:

tricky ill be right back

Step-by-step explanation:

4 0
3 years ago
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Sam bought a teddy bear for $3.75 and a stuffed unicorn for $7.50. He gave the cashier $20. How much change did he receive? *
kenny6666 [7]

Answer:

3.75+7.5 = 11.25

20 dollars in total how much change.

20 - 11.25 = 8.75

$8.75 change

7 0
2 years ago
There are 10 employees in a particular division of a company. Their salaries have a mean of 570,000, a median of $55,000,and a s
harkovskaia [24]

Answer:

a) $160,000

b) $55,000

c) $332264.804

Step-by-step explanation:

We are given that there are 10 employees in a particular division of a company and their salaries have a mean of $70,000, a median of $55,000, and a standard deviation of $20,000.

And also the largest number on the list is $100,000 but By accident, this number is changed to $1,000,000.

a) Value of mean after the change in value is given by;

     Original Mean = $70,000

       \frac{\sum X}{n} = $70,000  ⇒ \sum X = 70,000 * 10 = $700,000

   New \sum X after change = $700,000 - $100,000 + $1,000,000 = $1600000

  Therefore, New mean = \frac{1600000}{10} = $160,000 .

b) Median will not get affected as median is the middle most value in the data set and since $1,000,000 is considered to be an outlier so median remain unchanged at $55,000 .

c) Original Variance = 20000^{2} i.e.  20000^{2} = \frac{\sum x^{2} - n*xbar }{n -1}

    Original \sum x^{2} = (20000^{2} * (10-1)) + (10 * 70,000) = $3,600,700,000

    New \sum x^{2} = $3,600,700,000 - 100,000^{2} + 1,000,000^{2} = 9.936007 * 10^{11}  

    New Variance = \frac{new\sum x^{2} - n*new xbar }{n -1} = \frac{9.936007 *10^{11}  - 10*160000 }{10 -1} = 1.103999 * 10^{11}    Therefore, standard deviation after change = \sqrt{1.103999 * 10^{11} } = $332264.804 .

7 0
4 years ago
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