Suppose lifetime of certain type of car batteries are

normally distributed. Brand G has a mean lifetime of three years and

a standard deviation of one year. Brand M has a mean lifetime of 36

months and a standard deviation of four months.

(a) Which brand is more reliable and why?

(b) Pick one battery from each brand randomly, which one has a

better chance to last for four years and why?

Answer:

140°

Step-by-step explanation:

∠ABC is an inscribed angle and its measure is half the measure of the intercepted arc, which is arc AC

Therefore the measure of arc AC is 2(70) = 140°

∠AOC is a central angle and its measure is equal to its intercepted arc, which is arc AC.

So, m∠AOC = 140°

The angle AOC from the given circle is 140°. Therefore, option C is the correct answer.

The angle subtended by an arc at the center is twice the angle subtended at the circumference. More simply, the angle at the center is double the angle at the circumference.

From the given circle, angle ABC is 70°.

Here, 2∠ABC=∠AOC

∠AOC=2×70°

∠AOC=140°

Therefore, option C is the correct answer.

To learn more about the circle theorems visit:

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Answer:

C. 85.0 degrees. Because...

Coz when you calculate the angles all together using the 180°. You'll find the right answer

Answer:

1-8x

Step-by-step explanation:

1/x - 8

x × 1/x - 8× x

1-8x

Answer:

Step-by-step explanation:

C

Answer:

If you mean 0 + (-1) then it's -1

Answer:  28 boys and 16 girls

Step-by-step explanation: Divide 44 by 2 to get 22 subtract 22 by 6 to get the girls and add 6 to 22 to get the boys.

Answer:

44% of the students of a class are girls. If the number of girls is 6 less than the number of boys, how many students are there in the class?

let x be the number of boys, so (x - 6) will be number of girls.

total number of students will be boys plus girls : x + (x - 6) = 2x - 6

now 44% are girls which come from formula no. of girls divide by total students into 100: (x - 6)/(2x-6)*100 = 44

by solving we get x = 28 (where x is number of boys)

now x - 6 = 28–6 = 22 (number of girls)

add both we get total number of students = 28 + 22 = 50

Answer = 50

Step-by-step explanation:

This is not the answer this is a example!

Answer: [tex]a_{n}[/tex]=5*[tex]6^{n-1}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume = πr²h = π·3²h = 63π

h = 7 cm

The height of the given cylinder is 7 cm. Therefore, option D is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the volume of a cylinder is 63π cm³ and the radius is 3 cm.

We know that, the formula to find the volume of a cylinder is πr²h.

Now, πr²h=63π

π×3²×h=63π

h= 7 cm

Therefore, option D is the correct answer.

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Answer:

To multiply mixed numbers, first change any mixed number to an improper fraction. Then multiply the numerators together and the denominators together, as shown in Example .

Step-by-step explanation:

Answer:

2/3x

Step-by-step explanation:

Step-by-step explanation:

the sum of the angles = 360

8x+2 + 2x + 14 + 3x -4 +5x + 5 = 360

18x +17 = 360

18x = 343

x = 19.1

angles are:

154.8

52.2 smallest (2x + 14)

53.3

105.5

Answer: Area of a square is a².

4² = 16

Now find the area of the semicircle.

(πr²)/2

(3.14)(2)²/2

12.56/2

6.28

Now add the areas to find the total area.

6.28 + 16 = 22.28

Hope this helps :)

Step-by-step explanation:

Answer:

the theorum used here is sas one

Answer:

The answer should be, x ÷ 180 or [tex]\frac{x}{180}[/tex]

good luck, i hope this helps :)

Answer:

To calculate how many total miles Rachel runs per minute, setting up a unit rate, that is a rate with a denominator of 1, would be helpful.

Step-by-step explanation:

Use the current problem to determine a rate.

23 minutes/4 miles

Now, set up a unit rate.

1 minute/x miles = 23 minutes/4 miles

To solve for x, we can use simple division strategies. We divide 23 by 23 to receive 1 minute. Likewise, dividing the current milage by 23 would wield the correct unit rate. To do this, divide 4 by 23.

4/23 = 0.1739130434782609

Finally, simplify your answer to receive 0.17.

Therefore, Rachel runs ~0.17 miles per minute. (Note that this answer is only a rounded answer of her actual milage per minute)

Answer:

98

Step-by-step explanation:

It would be the same amount because when the lines are parallel, the corresponding angles will also be the same.  

We can tell the difference between the two types of angles (Supplementary and complementary) 98 and 82 would be the two types of angles.

So, the angle measure would be 98.

Answer:

there are 3,600 seconds in one hour.

Step-by-step explanation:

-2+(-8+9)

= -2+(1)

= -2+1

= -1

sen Türksün be ne işin var senin burada

Answer:

Step-by-step explanation:

Temperatures given:

Descending order of the numbers is:

Correct choice is E

Answer: 3/6 + 2/6 = 5/6

Step-by-step explanation: 1/3 is equal to 2/6 then 3/6+ 2/6 equals 5/6

Answer:

si yo lo sé tú también cierto

Answer:

0.79

Step-by-step explanation:

19 / 24 is 0.79166667

So it's 0.79

Answer:

0.79

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4.17

Step-by-step explanation:

6000x = 25000

x = 25000 / 6000

x = 4.17

Answer:

y = 6

Step-by-step explanation:

line of an equation: y = mx +c

where c is y-intercept, m is gradient and y and x are the y and x coordinates.

For finding the line of an equation we first find a gradient

gradient = (y2 -y1) / (x2 - x1)

so; (6-6) / (7-(-5)) = 0/12 = 0

next using any pair of coordinates we will find the c (y-intercept)

6= 0 (-5) + c

c = 6

so the equation will be

y = mx + c

(add the values you just found)

y = (0)x + 6 (since anything multiplied by 0 is 0 so we can write its like;)

y = 6