100 g of fish cost 70¢.

A sample of 75 information systems managers had an average hourly income of $40.75 with a standard deviation of $7.00. The 95% c

IrinaVladis [17]

Answer: c. 39.14 to 42.36

Step-by-step explanation:

We want to determine a 95% confidence interval for the average hourly wage (in $) of all information system managers

Number of sample, n = 75

Mean, u = $40.75

Standard deviation, s = $7.00

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean +/- z ×standard deviation/√n

It becomes

40.75 +/- 1.96 × 7/√75

= 40.75 ± 1.96 × 0.82

= 40.75 + 1.6072

The lower end of the confidence interval is 40.75 - 1.6072 =39.14

The upper end of the confidence interval is 40.75 + 1.6072 =42.36

6 0

3 years ago

missed my lecture and need help with this derivative, I tried looking at online resources but I just got confused so if someone

Zigmanuir [339]

Derivative with respect to x: $12x^2y^2-\frac{z^3}{x}+16x^{15}$

Derivative with respect to y: $8x^3y-4e^zy^3+4$

Derivative with respect to z: $-e^z y^4 +\frac{3z^2}{x^2}$

Step-by-step explanation:

We can calculate three derivatives for this function: the derivative with respect to x, the derivative with respect to y, and the derivative with respect to z.

We start with the derivative with respect to x:

$\frac{df}{dx}=4(3x^{3-1})y^2 -0 +z^3(-x^{-1})+0-16x^{16-1}=\\=12x^2y^2-\frac{z^3}{x}+16x^{15}$

Then we calculate the derivative with respect to y:

$\frac{df}{dy}=4x^3(2y^{2-1})-e^z(4y^{4-1})+0+4y^{1-1}=8x^3y-4e^zy^3+4$

Finally, we calculate the derivative with respect to z:

$\frac{df}{dz}=0-e^z y^4 +\frac{3z^{3-1}}{x^2}+0-0=-e^z y^4 +\frac{3z^2}{x^2}$

Learn more about differentiation:

brainly.com/question/4279146

#LearnwithBrainly

5 0

3 years ago

Find y. A. 63–√ B. 33–√ C. 23√3 D. 3

vagabundo [1.1K]

<h3>Answer: D. 3</h3>

This is a 30-60-90 triangle. The shortest leg (opposite the smallest angle) is half that of the hypotenuse, so y = 6/2 = 3.

Extra info: The long leg is sqrt(3) times the short leg, so x = y*sqrt(3) = x = 3*sqrt(3)

5 0

3 years ago

Hello ^ Please help! Thanks

Ivan

The angle measure of a straight line is 180°, and so if the you know that one angle off of it is (5x)°, then you know that the other section is (180 - 5x)°.

Because it's an isosceles triangle, there are two identical angles, which happen to be the angles with the measure of (5x - 30)° and (180 - 5x)°.
Since they have the same measure, 5x - 30 = 180 - 5x. Solve:

$5x-30=180-5x\\\\10x=210\\\\x=\frac{210}{10}=21$

Thus, x = 21°.

8 0

3 years ago

Read 2 more answers

Joe practiced his trumpet for 53 minutes a day for 20 days. Char practiced her trumpet for 35 minutes a day for 30 days. Which s

posledela

Answer:

D is the answer............

4 0

3 years ago

Read 2 more answers