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3 years ago

What’s the derivative of sin^2(cos(x^2))

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

7 0

Answer: f'(x) = - cos^2(sin(x^2))

Step-by-step explanation:

Derivative of:

f(x) = Sin^2(cos(x^2))

f'(x) = cos^2(-sin(x^2)

f'(x) = - cos^2(sin(x^2))

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A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his s

Hunter-Best [27]

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

$H_o: \mu = 178$

Alternative hypothesis:

$H_1: \mu \neq 178$

The t-test statistics is determined by using the formula:

$t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}$

$t = \dfrac{-0.5}{\dfrac{2}{5}}}$

$\mathbf{t= -1.25}$

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value = 2.064

Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small

5 0

2 years ago

WILL GIVE BRAINLIEST!!!

s2008m [1.1K]

1. Can you describe what needs to be done here?

2. 5a-2<18

5a<20

a<4

3. 2a+8≥ -4(a+1)

2a + 8 ≥ -4a - 4

6a ≥ -12

a ≥ -2

8 0

3 years ago

256 equals j subtracted from 199

Nikitich [7]

Answer:

-57

Step-by-step explanation:

256=199-j

256-199=57

5 0

3 years ago

Read 2 more answers

Half the sum of X and Y decreased by 1/3 why

Allushta [10]

What is the question here.
(1/2)(X+Y)-(1/3)

8 0

3 years ago

To complete this component you will need to insert parentheses in Expression 2 to change the order of operations so the expressi

Alika [10]

Given:

The expression is $5+4\times 2+6-2\times 2-1$ .

To find:

The position of parentheses inserted in the expression to get the value 19

Step-by-step explanation:

We have,

$5+4\times 2+6-2\times 2-1$

Now,

$(5+4)\times 2+6-2\times 2-1=9\times 2+6-4-1$

$(5+4)\times 2+6-2\times 2-1=18+6-5$

$(5+4)\times 2+6-2\times 2-1=18+1$

$(5+4)\times 2+6-2\times 2-1=19$

There are more ways to apply the parenthesis, but we do not get 19.

$5+4*\left(2+6\right)-2*2-1=32\neq 19$

$5+4*2+\left(6-2\right)*2-1=20\neq 19$

$5+4*2+6-2*\left(2-1\right)=17\neq 19$

And many more possibilities.

Therefore, the expression after inserting the parentheses is $(5+4)\times 2+6-2\times 2-1$ .

6 0

3 years ago