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Elza [17]
3 years ago
15

The angle t is acute and sin t = 6/7 is given use a Pythagorean identity to find cos t

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Answer:

sqrt(1 - 36/49) = +root(13)/7

Step-by-step explanation:

sin^2t + cos^2t is identical to 1 for all t.

(6/7)^2 + cos^2t = 1

1 - 36/49 = cos^2t

hence plus/miuns sqrt(1 - 36/49) = cos(t)

since t is acute, the answer must be positive.

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Suppose in the population, the Anger-Out score for men is two points higher than it is for women. The population variances for m
tatuchka [14]

Answer:

a)= 2

b) 6.324

c) P= 0.1217

Step-by-step explanation:

a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)

b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by

σ_X`1- X`2 = √σ²/n1 +σ²/n2

Var ( X`1- X`2) = Var X`1 + Var X`2 =  σ²/n1 +σ²/n2

so

σ_X`1- X`2 =√20 +20 = 6.324

if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.

Where as Z is normally distributed with mean zero and unit variance.

If we take X`1- X`2= 0 and u1-u2= 2  and standard deviation of the sampling distribution = 6.324 then

Z= 0-2/ 6.342= -0.31625

P(-0.31625<z<0)= 0.1217

The probability would be 0.1217

8 0
2 years ago
Help with five plz!!!!!
frutty [35]

Answer:

No there cannot be the same number of stickers on each page.

Step-by-step explanation:

If you want to find out how many stickers need to be in every page to be even you would add all the stickers up. 6+6+9+10+11= 42. Take the 42 and divide it by 5 to see how many stickers would go in each page. This will give you 8.4. However since this number is a decimal it can't be split evenly in whole stickers for each page. Meaning that it wouldn't be possible for each page to have a evenly distributed number of stickers per each page.

5 0
3 years ago
What is the y-coordinate for the solution to the system of equations?
Marina86 [1]

Answer: i took the test and the answer was

-5

Step-by-step explanation: Good luck!

7 0
2 years ago
Please help i will give brainliest... what letter goes with each line?
bagirrra123 [75]

Answer:

d is 3

e is 7

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Step-by-step explanation:

just get photo math :)

4 0
2 years ago
Paige launched a ball using a catapult she built. The height of the ball (in meters above the ground) ttt seconds after launch i
agasfer [191]

Answer:

1) Factor form : h(t)=-5t(t-8)

2) 8 second after launch.

Step-by-step explanation:

The height of the ball (in meters above the ground) t seconds after launch is modeled by

h(t)=-5t^2+40t

To find the time when ball hit the ground, we need to find the factor form of the given function.

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When ball hi the ground, then height of the ball from the ground is 0.

h(t)=0

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Using zero product property, we get

-5t=0\Rightarrow t=0

t-8=0\Rightarrow t=8

Ball hit the ground at t=0 and t=8. It means ball hit the ground in starting and 8 second after launch.

5 0
2 years ago
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