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Mathematics

2 answers:

Oduvanchick [21]2 years ago

7 0

Answer:

The answer is b

Step-by-step explanation:

r-ruslan [8.4K]2 years ago

7 0

Answer:

Step-by-step explanation:

All equal so B

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A survey was conducted with a large group of teenagers from 6 different states and it asked them for their favourite sport out o

UkoKoshka [18]

Answer:

H0: There is no association between state and sporting preference.

H1: There is an association between state and sporting preference

Step-by-step explanation:

The hypothesis to be tested for is whether the factor 'state' is associated with the factor 'sporting preference'.

The study is therefore about 'association' and whether the distributions of sporting preferences are identical across states. In scenario in this case is the test for association which is the most appropriate test.

Two factors are deemed to not be associated unless there is supporting evidence to suggest otherwise. Since the null hypothesis is the default belief, the correct pair of hypotheses are:

H0: There is no association between state and sporting preference.

H1: There is an association between state and sporting preference

3 0

2 years ago

A 25-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away from the wall at a constant ra

dsp73

Answer: The ladder is sliding down the wall at a rate of $5\dfrac{17}{50}\ ft/sec$

Step-by-step explanation:

Since we have given that

Length of ladder = 25 foot

Distance from the wall to the bottom of ladder = 15 feet

Let base be 'x'.

Let length of wall be 'y'.

So, by pythagorus theorem, we get that

$x^2+y^2=25^2\\\\15^2+y^2+625\\\\225+y^2=625\\\\y^2=625-225\\\\y^2=400\\\\y=\sqrt{400}\\\\y=20\ feet$

$\dfrac{dy}{dx}=-4\ ft/sec$

Now, the equation would be

$x^2+y^2=625\\$

Differentiating w.r.t x, we get that

$2x\dfrac{dx}{dt}+2y.\dfrac{dy}{dt}=0\\\\2\times 15\dfrac{dx}{dt}+2\times 20\times -4=0\\\\30\dfrac{dx}{dt}-160=0\\\\\dfrac{dx}{dt}=\dfrac{160}{30}=5.34\ ft/sec$