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2 years ago

6

the amount of time a certain brand of light bulb lasts is normally distributed with a mean if 1800 hours and a standard deviatio

n of 85 hours. Using the empirical rule, what percentage of light bulbs last between 1630 hours and 1970 hours?

1 answer:

RUDIKE [14]2 years ago

4 0

Answer:

340%

Step-by-step explanation:

You might be interested in

Estimate the perimeter of the figure to the nearest whole number.

Brrunno [24]

Answer:

<u>The perimeter of the pentagon ≅ 19 units (approximately)</u>

Step-by-step explanation:

Clockwise, starting from the base of the pentagon, we have:

Base of the pentagon or bottom side ≅ 4 units
2nd side ≅ 3.75 units
3rd side ≅ 3.75 units
4th side ≅ 3.75 units
5th side ≅ 3.75 units

In consequence,

Perimeter of the pentagon ≅ 4 + 3.75 + 3.75 + 3.75 + 3.75

<u>Perimeter of the pentagon ≅ 19 units</u>

8 0

3 years ago

Read 2 more answers

Austin bought 5 pairs of jeans and 2 shirts for $166. Travis bought 3 pairs of jeans and 4 shirts for $164 at the same store. Ho

OLEGan [10]

Answer:

pair of jeans = 21

shirt = 30.5

Step-by-step explanation:

Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.

Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.

Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.

5 pair of jeans and 2 shirts for $166. This means:

Equation 1: 5x + 2y = 166

3 pair of jeans and 4 shirts for $164. This means:

2x + 4y = 164

Dividing both sides by 2, we get:

Equation 2: x + 2y = 82

Subtracting Equation 2 from Equation 1, we get:

5x + 2y - (x + 2y) = 166 - 82

5x + 2y - x - 2y = 84

4x = 84

y = 30.5

Using the value of x, in Equation 2, we get:

21 + 2y = 82

2y = 61

y = 30.5

Since, x represents the cost of pair of jeans, the cost of each shirt is $ 16.

y represents the cost of sweater, so the cost of each sweater is $ 33.

4 0

2 years ago

Flying with the wind, a small plane flew 404 mi in 2 h. Flying against the wind, the plane could fly only 386 mi in the same amo

Alika [10]

Answer: rate of the plane is 197.5 mph

rate of wind is 4.5 mph

Step-by-step explanation:

Let x represent the rate of the plane in calm air.

Let y represent the rate of the wind.

Flying with the wind, a small plane flew 404 mi in 2 h. This means that the total speed with which the plane flew is (x + y) mph.

Distance = speed × time

Distance travelled by the plane while flying with the wind is

404 = 2(x + y)

Dividing both sides of the equation by 2, it becomes

202 = x + y- - - - - - - - - - - 1

Flying against the wind, the plane could fly only 386 mi in the same amount of time. This means that the total speed at which the plane flew is (x - y) mph.

Distance = speed × time

Distance travelled by the plane while flying against the wind is

386 = 2(x - y)

Dividing both sides of the equation by 2, it becomes

193 = x - y- - - - - - - - - - - 2

Adding equation 1 to equation 2, it becomes

395 = 2x

x = 395/2

x = 197.5

Substituting x = 197.5 into equation 1, it becomes

202 = 197.5 + y

y = 202 - 197.5

y = 4.5

3 0

3 years ago

24 + 0.44x = 19 + 1.69x

lys-0071 [83]

Answer:

if it is find the value of x her it is

$24 + 0.44x = 19 + 1.69x \\ collect \: like \: terms \\ 24 - 19 = 1.69x - 0.44x \\ 5 = 1.25x \\ divide \: both \: side \: by \: 1.25 \\ \frac{5}{1.25} = \frac{1.25x}{1.25} \\ 4 = x \\ x = 4$

6 0

3 years ago

Find the volume of the following

Nadusha1986 [10]

Given:

A prism with right triangular base.

Base of triangle = 6 ft

Height of triangle = 8 ft

Height of prism = 7

To find:

The volume of the given prism.

Solution:

The volume of prism is:

$V=Bh$ ...(i)

Where, B is the base area and h is the height of the prism.

In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:

$B=\dfrac{1}{2}\times base\times height$

$B=\dfrac{1}{2}\times 6\times 8$

$B=\dfrac{48}{2}$

$B=24$

Substituting $B=24,\ h=7$ in (i), we get

$V=24\times 7$

$V=168$

Therefore, the volume of the prism is 168 cubic ft.

6 0

2 years ago