Verify/prove the following trigonometric identity:

If x is an even number, the function f(x) = 2x − 1 gives an odd number. Identify the set of odd numbers corresponding to this se

Alex787 [66]

X = {0, 2, 4, 6, 8}.

=> f(x) = 2x - 1

x                  f(x) = 2x - 1

0                   2*0 - 1 = - 1

2                   2*2 - 1 = 3

4                   2*4 - 1 = 7

6                   2*6 - 1 = 11

8                   2*8 - 1 = 15

Answer: {-1, 3, 7, 11, 15}

4 0

3 years ago

To find proportion of the area under the normal curve between two Z scores that are both above the mean, it is necessary to exam

VikaD [51]

It is necessary to imagine the sum of the areas between each z-score and the average.

Given as the ratio of the area under the normal curve between two z-scores, both above average.

The Z score accurately measures the number of standard deviations above or below the mean of the data points.

The formula for calculating the z-score is

z = (data points – mean) / (standard deviation).

It is also expressed as z = (x-μ) / σ.

A positive z-score indicates that the data points are above average.
A negative z-score indicates that the data points are below average.
A z-score close to 0 means that the data points are close to average.
The normal curve is symmetric with respect to the mean and needs to be investigated.

Therefore, to find the percentage of the area under the normal curve between two z-scores, both above the mean, you need to look at the sum of the areas between the z-score and the mean.

Learn more about z-score from here brainly.com/question/16768891

#SPJ4

7 0

1 year ago

8. You recorded the time in seconds it took for 8 participants to solve a puzzle. The times were: 15.2, 18.8, 19.3, 19.7, 20.2,

kirill115 [55]

Answer:

Xbar = 20.813

Median = 19.95

5 - number summary :

Minimum = 15.2

Q1 = 19.05; Q2 = 19.95 ; Q3 = 21.95 ; maximum = 29.4

Standard deviation, s = 4.068

Step-by-step explanation:

Given the data:

X : 15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4

Ordered data:

15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4

The mean (xbar) :

Xbar = Σx / n ; n = sample size = 8

Xbar = 166.8 / 8 = 20.8125

Xbar = 20.813

The median :

1/2 *(n+1)th term

1/2(9) = 4.5

(4 + 5)th term / 2

(19.7 + 20.2) / 2 = 19.95

The five number summary :

Minimum = 15.2

Lower quartile (Q1) = 1/4(9) = 2.25 ; (2nd + 3rd) term / 2

(18.8 + 19.3) / 2 = 19.05

Median (Q2) = 19.95

Upper quartile (Q3) :

3/4(9) = 6.75 = (6th + 7th) / 2

(21.8 + 22.1) / 2 = 21.95

Maximum = 29.4

The standard deviation, s = sqrt[(x - xbar)²/ (n-1)]

Using calculator ;

s = 4.068

4 0

3 years ago

The figure below is not drawn to scale. ABCD is a parallelogram, Find

Butoxors [25]

$\angle BAD=100^{\circ}$ (opposite angles in a parallelogram)

$\angle EAD=80^{\circ}$ (subtraction)

$\angle ADE=65^{\circ}$ (angles in a triangle add to 180 degrees)

$\angle CDA=80^{\circ}$ (adjacent angles in a parallelogram are supplementary)

$\boxed{\angle CDE=15^{\circ}}$ (subtraction)

$\angle CED=65^{\circ}$ (angles in a triangle add to 180 degrees)

$\boxed{\angle AEB=80^{\circ}}$ (angles on a straight line add to 180 degrees)

4 0

1 year ago

Clayton plays basketball on a team. He has played three games so far . In the first game, he scored 10 points. In the second gam

Fofino [41]

Answer:

Clayton's average points per game is 10

Step-by-step explanation:

To find an average add all the numbers and divide the sum by the amount of numbers added.

In this case, 10 + 14 + 6 = 30. $\frac{30}{3}$ = 10

Hope this helps!

-MoCKEry

3 0

3 years ago