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The table gives the probabilities that new cars of different models will have brake failure. The car model that is least likely

melamori03 [73]

<span>All the information we have are the probabilities, and what we need is the lowest number: so let's choose the smallest probability among the numbers: 0.0065%, B 0.0037%,C 0.0108%,D 0.0029%, E 0.0145%. The smallest of the numbers is 0.0029% -it starts with two 00s and the number that follows, 2, is smaller than all there others - so the smallest probability is in option D - and the model would be the corresponding model (but we're missing some information here) </span>

3 0

3 years ago

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A rectangle has a base equal to 10 and height equal to 4 ft what is the perimeter

elena-14-01-66 [18.8K]

The perimeter is 10+10+4+4=28

8 0

3 years ago

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A train travels 50 km in 1 hour and then 96 km in 4 hours what is its average speed

svet-max [94.6K]

Answer: 37 km per hour

Step-by-step explanation: 96/4=24

24+50=74

74/2=37

8 0

3 years ago

Express the equation in rectangular form<br> a) r = 2sin(2Θ)<br> b) r = 4cos(3Θ)

Dafna11 [192]

Answer:

a. sqrt(x^2+y^2) * (x^2+y^2) = 4xy

b. (x^2+y^2)^2 = 4x{ (x^2 - 3 y^2}

Step-by-step explanation:

a) r = 2sin(2Θ)

r* = 2 sin 2 theta

We know sin 2theta = 2 sin theta cos theta

r = 2 * 2 sin theta cos theta

sin theta = y/r and cos theta = x/r

r = 4 y/r * x/r

r = 4xy / r^2

Multiply each side by r^2

r^3 = 4xy

r * r^2 = 4xy

We know r = sqrt(x^2+y^2) and r^2 = (x^2+y^2)

sqrt(x^2+y^2) * (x^2+y^2) = 4xy

b) r = 4cos(3Θ)

we know that cos 3 theta = cos^3(theta) - 3 sin^2(theta) cos(theta)

r = 4 *cos^3(theta) - 3 sin^2(theta) cos(theta)

Factor out a cos theta

r = 4 *cos(theta){ cos^2 (theta) - 3 sin^2(theta) }

We know that sin theta = y/r and cos theta = x/r

r = 4 (x/r) { (x/r)^2 - 3 (y/r)^2}

r = 4 *(x/r) { (x^2/r^2 - 3 y^2/r^2}

Multiply by r

r^2 = 4x { (x^2/r^2 - 3 y^2/r^2}

Multiply by r^2

r^2 *r^2 = 4x { (x^2 - 3 y^2}

r^4 = 4x{ (x^2 - 3 y^2}

We know r^2 = (x^2+y^2)

(x^2+y^2)^2 = 4x{ (x^2 - 3 y^2}

5 0

3 years ago

A pizza shop sells pizza by the slice. They must make two different sizes of pizza - a 12-inch pizza which they cut into 60-degr

Vadim26 [7]

Answer:

14 inch pizza.

Step-by-step explanation:

A pizza is the shape of a circle which is 360 degrees.

For the 12 in pizza, it is being divided into 60 degree slices.

360/60= 6 slices.

The area of the pizza is calculates with $\pi *r^2$ so we must find the radius of the pizza, r. 12 inch is the diameter which is 2r so half of the diameter= r.