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2 years ago

3

Michelle is buying carpet for a room with the dimensions shown. Michelle calculates that the area she will cover with carpet is

187 1/2 square feet. Explain why Michelle’s reasoning is incorrect, and give the correct area in square feet.

1 answer:

Dvinal [7]2 years ago

3 0

Answer:

Because, the area of the room is 147.5

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Solve 11 - 1/2y= 3 + 6x for y.

Ilia_Sergeevich [38]

Answer:

y = 12x+16

Step-by-step explanation:

Simplify both sides of the equation then isolate the variable.

Step 1, add 11 to both sides.

−1 /2 y+11+−11=6x+3+−11

−1 /2 y=6x−8

Step 2, divide both sides by (-1)/2.

You will be left with

y = 12x+16

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2 years ago

The total distance in centimeters that a toy robot moves varies directly with the time in seconds the toy robot moves a total di

kobusy [5.1K]

Answer:

Hey there!

The robot moves 63 cm in 9 seconds. Then in 1 second, it moves 7 cm.

If it goes 49 cm, it will take 7 seconds.

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2 years ago

Mattel Corporation produces a remote-controlled car that requires three AA batteries. The mean life of these batteries in this p

goldfiish [28.3K]

Answer:

0.0406, 0.8284,0.7887

Step-by-step explanation:

Given that Mattel Corporation produces a remote-controlled car that requires three AA batteries

X is N(34, 5.5)

Hence sample size of 25 would follow a t distribution with df = 24

This is because sample size <30

t distribution with df 24 would be bell shaped symmetrical about the mean and unimodal.

Std error of sample mean = std dev /sqrt n= $\frac{5.5}{5} \\=1.1$

Prob (X>36) = $P(t>\frac{36-34}{1.1} ) = P(t>1.82)\\= 0.04063$

i.e nearly 4.1% of the sample would have a mean useful life of more than 36 hours

X>33.5 implies $t>-0.45$

=0.82837

=0.8284 proportion will have a mean useful life greater than 33.5 hours

Proportion between 33.5 and 36 hours

= $0.3284+0.4593=0.7887$

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2 years ago

A dolphin is trying to jump through a hoop that is fixed at height of 3.5m above the surface of her pool. the dolphin leaves the

frosja888 [35]

40 degrees might be use the question box

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2 years ago

The line 3y+x=25 is a normal to the curve y=x2-5x+k.find the value of constant k.

ladessa [460]

Answer:

k = 11.

Step-by-step explanation:

y = x^2 - 5x + k

dy/dx = 2x - 5 = the slope of the tangent to the curve

The slope of the normal = -1/(2x - 5)

The line 3y + x =25 is normal to the curve so finding its slope:

3y = 25 - x

y = -1/3 x + 25/3 <------- Slope is -1/3

So at the point of intersection with the curve, if the line is normal to the curve:

-1/3 = -1 / (2x - 5)

2x - 5 = 3 giving x = 4.

Substituting for x in y = x^2 - 5x + k:

When x = 4, y = (4)^2 - 5*4 + k

y = 16 - 20 + k

so y = k - 4.

From the equation y = -1/3 x + 25/3, at x = 4

y = (-1/3)*4 + 25/3 = 21/3 = 7.

So y = k - 4 = 7

k = 7 + 4 = 11.

6 0

2 years ago