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3 years ago

14

A factory makes car batteries. The probability that a battery is defective is 1/4. If 400 batteries are tested, about how many a

re expected to be defective?

1 answer:

notka56 [123]3 years ago

8 0

Answer:

100 batteries would be defective

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Find the slope of tangent line at (1,-1.5)

storchak [24]

Answer:

The slope of the tangent m = -0.0833

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the curve

x y - 2y² + x² = -5 ...(i)

Differentiating equation (i) with respective to 'x', we get

$x(\frac{dy}{dx} )+y (1) -2(2y)\frac{dy}{dx} + 2x=0$

$x(\frac{dy}{dx} ) -2(2y)\frac{dy}{dx} = -2x-y$

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

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

<u><em>Step(ii):-</em></u>

<u><em>The slope of the tangent</em></u>

<u><em></em></u> $(\frac{dy}{dx})_{1,-1.5} = \frac{-2x-y}{x-4y}$ <u><em></em></u>

<u><em></em></u> $(\frac{dy}{dx})_{1,-1.5} = \frac{-2(1)-(-1.5)}{1-4(-1.5)}$ <u><em></em></u>

m = $\frac{-2+1.5}{1+6}$

$m = \frac{-0.5}{6} = -0.083$

The slope of the tangent m = -0.0833

<u><em></em></u>

<u><em></em></u>

6 0

2 years ago

Find the missing pieces of the triangle round to the nearest tenth

8090 [49]

Answer:

8√3

Step-by-step explanation:

Missing side,

√(19²-13³)

= 8√3

Answered by GAUTHMATH

6 0

2 years ago

The diameter of a bowl is 14 cm. What is the circumference? Give the exact

alexandr1967 [171]

The answer is 43.967cm because circumference is equal to pi times the diameter, or two times pi times the radius.

7 0

2 years ago

Which choice is not a factor of 52?<br> a. 4<br> b. 26<br> c. 3<br> d. 13

NISA [10]

A. 4 . . . Yes. 52/4 = 13

b. 26 . . . Yes. 52/26 = 2

<em>c. 3 . . . . No. 52/3 = 17 and 1/3</em>

d). 13 . . Yes. 52/13 = 4

8 0

2 years ago

Read 2 more answers

A hot air balloon leaves the ground and ascends at a rate of 5 feet per minute for 4 minutes.

aleksley [76]

When the balloon is on the ground, it is at point 0. It starts to go up at 5 f/m for a time of 4 minutes. So we will multiply 5 by 4 to get 20. At this point, the balloon is 20 feet off the ground. However, we now know that the balloon descends at 2 f/m at a time of 7 minutes. So we must multiply 2 by 7 to get 14. So we know it was at 20, and then it went down by 14.

20 - 14 = 6 feet

This means that the balloon is now 6 feet above the ground.

I hope I've helped! :)

5 0

2 years ago