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3 years ago

If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15,

Mathematics

1 answer:

never [62]3 years ago

6 0

Answer: Smart.

Average is like 80

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zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

3 years ago

How many 10 kobo coins are there in #9.90?

baherus [9]

Answer:

Step-by-step explanation:

1₦ = 100 k

₦9.90 =?

=990k

990/10=99

4 0

2 years ago

A cell phone cost $10 for the phone and $2 per hour that someone talks on the phone. If Jeremiah spent $30 total, how many hours

GREYUIT [131]

Answer:

10 times 2x = 30

Step-by-step explanation:

Tried my best

5 0

3 years ago

Machine A working alone can complete a job in 3 1/2 hours. Machine B working alone can do the same job in 4 2/3 hours. How long

SIZIF [17.4K]

Answer:

B) 2 hours

Step-by-step explanation:

If machine A complete a job in 3 1/2 hours or 7/2 of an hour

means that in one hour finished 1÷ 7/2 or 2/7

If machine B complete a job in 4 2/3 hours or 14/3 of an hour

means that in one hour finished 1÷ 14/3 or 3/14 of an hour

Then the two machines working together in one hour will make

2/7 + 3/14 = (4 + 3)/ 14

or 7/14 = 1/2

half of the job. Therefore these two machines working together will take two hours

5 0

3 years ago

Which expression is equivalent to 4(3/4y - 2 + 1/2y? chose all that apply

timama [110]

Answer: Looks like u already answered the question

Step-by-step explanation:

6 0

3 years ago