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Anuta_ua [19.1K]

2 years ago

9

Question 30. How do you set up the equation?

1 answer:

Bas_tet [7]2 years ago

7 0

140 pounds * 6 feet = 112 pounds * x feet

x feet = (140 * 6) / 112

x = 7.5 feet

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Ludmilka [50]

.6p + 4.5 =22.5
.6p=18
P=30

4 0

3 years ago

From a sample of 37 graduate students, the mean number of months of work experience prior to entering an MBA program was 35.15.

kiruha [24]

Answer: (29.35, 40.95)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

$\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}$

, where $\overline{x}$ = sample mean.

z*= critical z-value

n= sample size.

$\sigma$ = Population standard deviation.

As per given , we have

$\overline{x}=35.15$

$\sigma=18$

n= 37

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, the confidence interval for the population mean will be :

$35.15\pm (1.96)\dfrac{18}{\sqrt{37}}$

$=35.15\pm (1.96)\dfrac{1.7}{6.08276}$

$=35.15\pm (1.96)(2.95918)$

$\approx35.15\pm5.80$

$=(35.15-5.80,\ 35.15+5.80)=(29.35,\ 40.95)$

Hence, a 95% confidence interval for the population mean = (29.35, 40.95)

8 0

3 years ago

The graph of the equation 2x2 + xy + y2 = 4 is the tilted ellipse pictured below; i.e. the points (x,y) in the plane that satisf

mihalych1998 [28]

Answer:

The slope of tangent at point (1,-2) is $\frac{2}{3}$ .

Step-by-step explanation:

The given equation of ellipse is

$2x^2+xy+y^2=4$

Differentiate both sides with respect to x.

$\frac{d}{dx}(2x^2+xy+y^2)=\frac{d}{dx}(4)$

$\frac{d}{dx}(2x^2)\frac{d}{dx}(xy)+\frac{d}{dx}(y^2)=\frac{d}{dx}(4)$

$4x+x\frac{dy}{dx}+y+2y\frac{dy}{dx}=0$

$(4x+y)+(x+2y)\frac{dy}{dx}=0$

$\frac{dy}{dx}=-\frac{4x+y}{x+2y}$

Calculate the value of \frac{dy}{dx} at (1,-2).

$\frac{dy}{dx}_{(1,-2)}=-\frac{4(1)+(-2)}{(1)+2(-2)}$

$\frac{dy}{dx}_{(1,-2)}=-\frac{2}{-3}$

$\frac{dy}{dx}_{(1,-2)}=\frac{2}{3}$

Therefore the slope of tangent at point (1,-2) is $\frac{2}{3}$ .

3 0

3 years ago

Read 2 more answers

Solve.<br> 4. Find the value of x in the diagram at the right.

nadya68 [22]

The expression is consistent witch means and can keep going a long time the answer is x0x0

5 0

2 years ago

Please help me and please say all the answers to this it has to be more than 1 answer

abruzzese [7]

I believe the correct answers would be A & C

3 0

3 years ago