How do you write 2.6 × 10 to the 3 power in standard form?

Does the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender? The level of lead in t

Eva8 [605]

Answer:

Correct option is (A).

Step-by-step explanation:

A two-sample t-test can be performed to determine whether the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender or not.

Th hypothesis will be:

H₀: The amount absorbed by men is same as the amount absorbed by women, i.e. μ₁ = μ₂.

Hₐ: The amount absorbed by men is greater than the amount absorbed by women, i.e. μ₁ > μ₂.

The test statistic used is:

$t=\frac{\bar x_{1}-\bar x_{2}-(\mu_{1}-\mu_{2})}{\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}}$

The decision rule to reject the null hypothesis based on the p-value is:

If the p-value of the test is less than the significance level α then the null hypothesis will be rejected. And if the p-value of the test is greater than the significance level α then the null hypothesis will not be rejected.

The p-value of the test is,

p - value = 0.0032

The commonly used significance levels are:

α = 0.01, 0.05 and 0.10.

The p-value of this test is less than all these α's.

Thus, the null hypothesis will be rejected.

Conclusion:

As the null hypothesis is rejected, it can be concluded that the amount of leas absorbed by men is significantly greater than the amount absorbed by women.

Thus, the correct option is (A).

4 0

3 years ago

Solve the system of linear equations by graphing y = -4x + 2 ; y = -x - 1 What is the solution?

elena-s [515]

Answer:

Step-by-step explanation:

Easiest way would be to substitute points into the given equations and plot your answers.

E.g. if you substitute points into your first equation you get:

If x = 0, y = -4(0) +2 = 2

If x = 1, y = -4(1) +2 = -2

If x = -1, y = -4(-1) +2 = 6

Etc.

Second equation:

If x = 0, y= -(0) -1 = -1

If x = 1, y = -1 -1 = -2

If x = -1, y = -(-1) -1 = 0

Pretty much just plug in values for x into the equations to find y.

Once you have your points, draw a line :)

Where the two lines intercept would be the solution.

5 0

3 years ago

Find the exact value of cos A in simplest radical form.

sergeinik [125]

S O/H C A/H T O/A

You're finding cos - so take the adjacent side and hypotenuse which is 10 over 12

Then take 10 divided by 12 cos

A = 0.1

3 0

3 years ago

What is the length of the diagonal of the triangle?

Setler79 [48]

Answer:

21.25

Step-by-step explanation:

use the Pythagorean theorem, it is given that the shape is a rectangle so all opposite sides are congruent and all angles are right, since we know that the diagonal forms a right triangle we can use the pythagorean theorem

the Pythagorean theorm is a^2+b^2=c^2 where a and b are the legs (in this case the side of the triangle) and c is the hypotenuse which is the longest side in a right triangle

17^2+12.75^2=x^2

x^2=7225/16

now take the square root of both sides and you get -21.25 and 21.25

distance CAN NOT be negative so -21.25 isn't an option

7 0

3 years ago

Relations expressed as ordered pairs are?

romanna [79]

The relations are domain and range

5 0

3 years ago