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Bas_tet [7]
3 years ago
15

445 randomly selected light bulbs were tested in a laboratory, 316 lasted more than 500 30) hours. find a point estimate of the

proportion of all light bulbs that last more than 500 hours.
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0
Total number of bulbs tested, N = 445
Number of bulbs that lasted more than 500 hrs, x = 316

Point estimate of bulbs that lasted more than 500 hrs = x/N = 316/445 ≈ 0.71 = 0.71*100 = 71%
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Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl
BigorU [14]
You have two 30-60-90 triangles, ADC and BDC.

The ratio of the lengths of the sides of a 30-60-90 triangle is

short leg : long leg : hypotenuse
     1        :  sqrt(3)  :        2

Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC

First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30

Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10

AB = AC - BC = 30 - 10 = 20
6 0
3 years ago
Read 2 more answers
Find the slope of the line
Daniel [21]

Answer:

The slope of the line is -3/2 or -1.5

Step-by-step explanation:

y2-y1/x2-x1

-1-2/2-0=

-3/2 or -1.5

6 0
3 years ago
Read 2 more answers
Solve for x in the following equation : 2 (12x -8) + 1/3 x 9=35
aleksley [76]

Answer:

X=2

Step-by-step explanation:

2(12x-8) + 1/3 x 9 =35

24x -16 + 3 = 35

24x = 48

X = 2

7 0
2 years ago
Graph triangle RST with vertices R(3, 7), S(-5, -2), and T(3, -5) and its image after a reflection over x = -3.​
kirill115 [55]

Given:

The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).

To find:

The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.

Solution:

If a figure reflected across the line x=a, then

(x,y)\to (-(x-a)+a,y)

(x,y)\to (-x+a+a,y)

(x,y)\to (2a-x,y)

The triangle after a reflection over x = -3. So, the rule of reflection is

(x,y)\to (2(-3)-x,y)

(x,y)\to (-6-x,y)

The vertices of triangle after reflection are

R(3,7)\to R'(-6-3,7)

R(3,7)\to R'(-9,7)

Similarly,

S(-5,-2)\to S'(-6-(-5),-2)

S(-5,-2)\to S'(-6+5,-2)

S(-5,-2)\to S'(-1,-2)

And,

T(3,-5)\to T'(-6-3,-5)

T(3,-5)\to T'(-9,-5)

Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).

3 0
3 years ago
In a recent survey of 288 people, 72 said that their favorite color of car was white. What percent of the people surveyed liked
Oksi-84 [34.3K]
If you translate this problem literally, it is saying, “72 is what percent of 288?”. And the equational translation of that is 72 = (x/100) • 288
[ “is” means equal to (=) // “what” means x or another variable // “percent” means divided by 100” // “of” means multiplication. ]
Then you solve that equation.
(you can check it by googling what is 25% of 288. )

5 0
3 years ago
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