25*10to the power of 6 in standard form

The average zinc concentration recovered from a sample of measurements taken in 36 different locations in a river is found to be

vazorg [7]

Answer:

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

Step-by-step explanation:

95% confidence interval:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.96\frac{2.6}{\sqrt{36}}$

$M = 0.85$

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 0.85 = 1.75 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 0.85 = 3.45 grams per milliliter.

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

99% confidence level:

By the same logic as for the 95% confidence interval, we have that $Z = 2.575$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 2.575\frac{2.6}{\sqrt{36}}$

$M = 1.12$

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 1.12 = 1.48 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 1.12 = 3.72 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

5 0

3 years ago

Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100

RUDIKE [14]

Answer:

m<2 = 125°, m<8 = 55° and m<14 = 100°

Step-by-step explanation:

The question is incomplete.

Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°. Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15. Which angle measures are correct? Select three options. mAngle2 = 125° mAngle3 = 55° mAngle8= 55° mAngle12 = 100° mAngle14 = 100

Given

m<9 = 80°

m<5 = 55°

From the diagram, m<5+m<6 = 180°

Substitute m<5 = 55° into the formula, to get m<6

55+m<6 = 180

m<6 = 180-55

m<6 = 125°

From the diagram m<6 = m<2 = 125° (corresponding angles)

Also on line e, m<9 = m<12 = 80° (vertically opposite angles)

On line f, m<14+m<16 = 180° and m<12 = m<16 = 80

m<14+80° = 180°

m<14 = 180-80

m<14 = 100°

Also on line f, m<5 = m<8 (vertically opposite angles)

Since m<5 = 55°, m<8 = 55°

Also on line e, m<10 + m<12 = 180

Since m<2 = m<10 = 125° (corresponding angle)

To get m<12,

125+m<12 = 180

m<12 = 180-125

m<12 = 55°

Also m<10 = m<14 = 125° (corresponding angle)

On line e, m<10 = m<11 = 125° (vertically opposite angle)

Also on line e, m<3 = m<11 (corresponding angle)

This shows that m<10 = m<11 = m<3 = 125°

From the above calculation the angle measure that are correct are:

m<2 = 125°, m<8 = 55° and m<14 = 100°

4 0

3 years ago

Solve for x: 8x+9=5x+6

Sloan [31]

Answer:

Step-by-step explanation:

x= -1

5 0

4 years ago

What is the leading coefficient of the polynomial? 5x² + 8x³ +4 - 6x² – 3x5

Orlov [11]

Answer:

In polynomial function f(x) = 5x² + 2x³ + 4 the leading coefficient is 5.

The leading coefficient of a polynomial is the coefficient of the leading term 5x².

Step-by-step explanation:

6 0

2 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPPPP complete the synthetic division below

soldi70 [24.7K]

The quotient in polynomial form is C. x² - x ₊ 1.

<h3>What is synthetic division?</h3>

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.

The given problem is-

-3 | 1 2 -2 3

Using synthetic division method,

-3 | 1 2 -2 3

| -3 3 3

|1 -1 1 6

So, the remainder from the calculation is 6 .

And the quotient polynomial is x² - x ₊ 1.

Hence, the correct answer for the given question is C. x² - x ₊ 1

More about Synthetic division method :

brainly.com/question/12642065

#SPJ1

4 0

1 year ago