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makvit [3.9K]
2 years ago
9

The National Center for Health Statistics reported that of every 883 deaths in recent years, 24 resulted from an automobile acci

dent, 182 from cancer and 333 from heart disease. Using the relative frequency approach, what is the probability that a particular death is due to an automobile accident?
Mathematics
1 answer:
Ne4ueva [31]2 years ago
3 0

Answer:

The probability that a particular death is due to an automobile accident is 2,71%

Step-by-step explanation:

Relative frequency approach  is the ratio of the occurrence of a singular event and the total number of outcomes

In this case ,  the singular event is die in an automobile accident, 24 reported  and the total number of outcomes are the total of deaths, 883 reported .

Then ,  the probability that a particular death is due to an automobile accident  is  24/883=0,0271

We can say in percentage 2,71%

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These 2 questions confuse me.<br> Can anyone help with some 3D trigonometry?
Burka [1]

Answer:

Q2) 29 degree       as unrounded to nearest degree is 28.95 degree

Q3) 69 degree       as unrounded to nearest degree is 68.56 degree

Step-by-step explanation:

QU 2)

When they speak of plane we see ABCD and also see ABC

So we need the length of AB and BC to find the diagonal CA

AB^2 + BC^2 = CA^2

16.4^2 + 9.1^2 = sqrt 351.77

CA^2 = sqrt 351.77 = 18.8 cm

We know CG = 10.4cm

We identify the hypotenuse for ACG triangle

We do trig tan x = opp/adj for CGA angle

Tan x = tan-1 10.4/18.8 = 28.95099521 degree

Tan x = tan-1 18.8/10.4 = 61.04900479 degree

so we know one is much smaller than the other

We also know ACG angle is 90 degree and that angle from ABCD that meets line AG is the smaller angle.

Answer therefore must be 28.95 degree = or 29 degree

 

QU 3)

we are basically looking for angle where VB meets BC line or AVB meets ABC we have the slant length, so step 1 is find the height by first dividing square base by 2 then finding the height.

= 7.6/2 = 3.8 cm

Then Pythagoras

BV^2  -  1/2 BC =  height

10.4^2  - 3.8^2 = height

Height = sq rt 93.72 =9.68090905 = 9.7cm

Which means  V to midpoint VC = V to midpoint  AB

They are the same and the midpoints are 90 degree angles.

To find the required angle for VB + BCmidpoint or we wont be able to determine the right angle hypotenuse.

We do the same as last question determine the hypotenuse and where the angle sought is is where we use the trig function = adj/hyp

Because if it was the midpoint angle then it would be opp/adj like the question 1  so this time its cos of x.

cos x = adj/hyp = cos-1 (3.8/ 10.4) = 68.5687455

Answer is 68.56 degree

The reason we show the height is so we can check by doing opp/hyp

= sin of x = sin-1 (9.68090905/3.8) = 23.11171135

and 90 -23.11171135 = 66.8882887

= 67 degree

So we go with the first one and assume 9.68 was already simplified to 9.7cm

= sin-1 (3.8/9.7) = 23 degree  90-23 = 67 degree

but when rounded to 10.4cm for slant we get the same

= sin-1 (3.8/10.4)

So we realise here trig functions -1  doesn't work on the same 90 degree angle for both lines that meet such 90 degree angle.

We try the sin-1 (10.4/ 9.68090905) = 68.5687455 = 69 degree

and that where the lines join away from the 90 degree angle we can always find true answer, and see it is a match with the first cos trig function we did.

This proves that cos line 1/line2  = sin line 1/line 2 are the same when the larger number is numerator for sin representing the hypotenuse slant for sin as shown and when the larger of the sides is numerator for cos di

and smallest side acts as denominator for both trig functions.

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3 years ago
During track practice, Jonathan ran 5 kilometers. Rob 4,250 meters. Who ran further?​
vagabundo [1.1K]

Answer:

Johnathan

Step-by-step explanation:

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3 years ago
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Whats is 1/2 times 2/3
sweet [91]

Answer:

1/3

Step-by-step explanation:

Half of two of something would be only one of that something. In this case the something is 1/3 so our answer is 1/3.

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3 years ago
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Suppose for some value of x the solution to the equation 2.5(y−x)=0 is y = 6. What must be true about x?
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Step-by-step explanation:

In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)

2.5(6-x) = 0

Open the bracket,

(2.5×6)-2.5x= 0

Collect like terms.

2.5x= 2.5×6

Divide both sides by the coefficient of x (2.5)

x = 6

So,

x= 6 is true.

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Substituting 6 for x in the equation,

2.5(6-6)= 0

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2 years ago
Circumference of a 4" circle?
lesya692 [45]

Answer:

4π ≈ 12.5663706144

Step-by-step explanation:

The circumference of a circle is 2πr, or 2*pi*radius

Suppose the circle has a diameter of 4 inches. A diameter is 2x the radius, of which we are looking for, therefore:

4÷2=<u>2 inches</u> (radius length)

Now that we have the radius, let us <u>substitute</u> to find the circumference:

2πr=

2π2=

4π≈

<u>12.5663706144</u>

<u></u>

<em>I hope this helped! Let me know if you have any further questions :)</em>

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2 years ago
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