An automobile battery manufacturer offers a 31/54 warranty on its batteries. The first number in the warranty code is the free-replacement period; the second number is the prorated-credit period. Under this warranty, if a battery fails within 31 months of purchase, the manufacturer replaces the battery at no charge to the consumer. If the battery fails after 31 months but within 54 months, the manufacturer provides a prorated credit toward the purchase of a new battery. The manufacturer assumes that X, the lifetime of its auto batteries, is normally distributed with a mean of 45 months and a standard deviation of 5.6 months.

1. If the manufacturer's assumptions are correct, it would reed to replace _______ of its batteries free.2. The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect. A standard deviation of ____ results in a 1.07% replacement rate.3. Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?

Answer:

O

Step-by-step explanation:

THIS IS ASSUMING THAT THE RADIUS OF THE CIRCLE IS 4 1/4 UNITS!

Answer:

Standard Equation: (x + 5)^2 + (y+5)^2 = 18.06

General Form: x^2 + 10x + y^2 + 10y + 31.94 = 0

Answer:

20x + 12y

Step-by-step explanation:

Apply distributive property.

(4 * 5x) + (4 * 3y)

=> (20x) + (12y)

Answer:

=(4)(5x+3y)

=(4)(5x)+(4)(3y)

=20x+12y

Step-by-step explanation:

=(4)(5x+3y)

=(4)(5x)+(4)(3y)

=20x+12y

Answers above.

Hope this helps.

Answer:

it matters were you are going

Step-by-step explanation:

Answer:

28.81cm

Step-by-step explanation:

c=2TTy

Answer:

1/21

Step-by-step explanation:

Total: 7

P(reggae and reggae)

= 2/7 × (2-1)/(7-1)

= 2/7 × 1/6

= 1/21

Answer:

The answer is c because I just took the quiz.

Step-by-step explanation:

Your welcome!

Answer:

C = √137

Step-by-step explanation:

In the attached file

Answer:

55

Step-by-step explanation:

All triangles have a sum of 180°

180 - 40 = 140

Since the triangle is an isosceles triangle, then you are going to divide 140 by 2 because the base angles of an isosceles triangle are congruent.

140 / 2 = 70

Now that we know that the measurement of the two base angles is 70, we can find h.

2h represents the exterior angles. Exterior angles are always supplementary to the interior angles. So, we can simply subtract 70 from 180.

180 - 70 = 110

Now, we can divide 110 by 2 to find h.

110 / 2 = 55

So, h equals 55. So, the answer is the third option.

Answer:

The multiplication property of 1

Step-by-step explanation:

Any number that multiplied by one gives the number

Answer:

[tex] = 7 \frac{9}{14} \\ [/tex]

Step-by-step explanation:

[tex]9 \frac{1}{2} - 1 \frac{6}{7} \\ \frac{19}{2} - \frac{13}{7} \\ \frac{133 - 26}{14} \\ = \frac{107}{14} \\ = 7 \frac{9}{14} [/tex]

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Answer:

2

Step-by-step explanation:

Given: 5 quiz scores of a student in a statistics course are 6,6, 5, 8, 10

To find:  standard deviation of the population

Solution:

Mean (M) = [tex]\frac{\sum_{i=1}^{n}x_i}{n}[/tex]

here, [tex]x_i[/tex] denotes number of observations and n denotes number of observations.

Variance = [tex]\frac{\sum_{i=1}^{n}(x_i-M)^2}{n-1}[/tex]

Standard deviation = [tex]\sqrt{variance}[/tex]

[tex]M=\frac{6+6+5+8+10}{5}=\frac{35}{5}=7[/tex]

Variance = [tex]\frac{\sum_{i=1}^{n}(x_i-7)^2}{n-1}[/tex]

[tex]=\frac{\left [ (6-7)^2+(6-7)^2+(5-7)^2+(8-7)^2+(10-7)^2 \right ]}{5-1}\\=\frac{1+1+4+1+9}{4}\\=\frac{16}{4}\\=4[/tex]

Standard deviation = [tex]\sqrt{4}=2[/tex]

Answer:

   4)  c = 38

   5)  x = 50

Step-by-step explanation:

4) The marked angles are a "linear pair", meaning their total is 180°:

  3c° +(2c -10)° = 180°

  5c = 190 . . . . . . . divide by °, add 10, collect terms

  c = 38 . . . . . . . . . divide by 5

__

5) The interior angle at C brings the total of the marked angle and the interior angle to 360°

  330° + (interior angle) = 360°

  (interior angle) = 30° . . . . . . . . . subtract 330°

The interior angles of the triangle total 180°, so we have ...

  x° +2x° +30° = 180°

  3x = 150 . . . . . . . . . . . . . divide by °, subtract 30

  x = 50 . . . . . . . . . divide by 3

Answer:

where is the question?

Step-by-step explanation:

Answer:

C

D

Step-by-step explanation:

C. It is in quadrant I and III

D. It is a hyperbola

Answer:

A on e2020

Step-by-step explanation:

The solution is, The length of line segment AB is 3.4cm.

Line segment is the part of line which have two endpoint and bounded by two distinct end points and it contain every point on the line which is between its endpoint.

here, we have,

The area of octagon is given as 2a^2(1+sqrt{2})

Where a is the side of octagaon.

All sides of octagon are same.

now, we get,

As, 2a^2(1+sqrt{2}) = 54cm

so, we have,

Then, a^2 = 54/2(1+sqrt{2})

a^2 = 54/4.828

a^2 = 11.19

a = 3.4 cm

Hence, The solution is, The length of line segment AB is 3.4cm.

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Answer:

3π/4 radians

Step-by-step explanation:

arctan(tan(x/3))=1

x/3=π/4 rad

x = 3π/4 radians

Answer:

2/9 of a foot in one month / 8/3 inches in one month

Step-by-step explanation:

Answer:

2/9 of a foot

Step-by-step explanation:

It grows 2/3 ft in 3 months

Therefore it grows in one month

2/3. / 3 = 2/3 × 1/3= 2/9 of a foot

Rate is the amount taken for one of a unit of measure, in this case, it is month.

Answer:

45° 45° 90°

Step-by-step explanation:

The whole figure is a rectangle, so the blue triangle is right. It is isosceles, so the angles are 45° 45° 90°

Step-by-step explanation:

If T:Rn→Rm is a linear transformation and if A is the standard matrix of T, then the following are equivalent:

 1.  T is one-to-one.

 2. T(x) = 0 has only the trivial solution x=0.

 3.  If A is the standard matrix of T, then the columns of A are linearly independent.

Here, A is a mxn matrix where m ≥ n and the rank of A equals n. It implies that the columns of A are linearly independent, for, otherwise, the rank of A would be less than n. Hence the linear transformation represented by A is one-to-one.

Answer: false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

unless u used a ruler nothing would find it out

HOPE THIS HELPS

Answer:

  g = 676

Step-by-step explanation:

Multiply by 13:

  g/13 = 52

  13(g/13) = 13(52)

  g = 676

Answer:

24

Step-by-step explanation:

6+2+0+4+1+3+8=24

All the numbers to see are, 6, 8, 0, 2, 4, 1.

And, The sum of all the numbers are 21.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Here,

In the figure,

All the numbers which can be seen are,

⇒ 6, 8, 0, 2, 4, 1

Now, Add all the numbers, we get;

⇒ 6 + 8 + 0 + 2 + 4 + 1

⇒ 21

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Answer:

1.6x-y=5--->equ.(i)

3x+4=y--->equ.(ii)

substitution method

6x-y=5

y=5+6x--->equ (iii)

Replace y=5+6x into equ--->(ii)

3x-5+6x=4

3x+6x=4+5

9x=9

divide both side by 9

9x/9=9/9

x=1

Replace x=1 into equ (iii)

6(1)-y=5

6-y=5

y=5+6

y=11

then your x and y is

x=1,y=11

Answer:

[tex]15.90cm[/tex]

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Answer:

4.3 cm

Step-by-step explanation:

length - width: 11.9 - 7.6 = 4.3

The required answer is 4.3 cm.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

Here given that,

He draws a rectangle that has a length of 11.9 cm.

And, a width of 7.6 cm

The required answer is:

length - width: 11.9 - 7.6 = 4.3

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Answer:

And we can find the distance between JK like this:

[tex] d_{JK} =\sqrt{(3-3)^2 +(2+1)^2}= 3[/tex]

And we can do something similar for KL and we got:

[tex] d_{KL} =\sqrt{(-5-3)^2 +(2-2)^2}= 8[/tex]

And we can do something similar for LM and we got:

[tex] d_{LM} =\sqrt{(-5+5)^2 +(-1-2)^2}= 3[/tex]

And we can do something similar for MJ and we got:

[tex] d_{MJ} =\sqrt{(-5-3)^2 +(-1+1)^2}= 8[/tex]

And the perimeter would be:

[tex] P = d_{JK} + d_{KL} +d_{LM} +d_{MJ} = 3+8+3+8 =22[/tex]

Step-by-step explanation:

For this case we can use the formula for the euclidean distance given by:

[tex] d = \sqrt{(y_2 -y_1)^2 +(x_2 -x_1)^2}[/tex]

And we can find the distance between JK like this:

[tex] d_{JK} =\sqrt{(3-3)^2 +(2+1)^2}= 3[/tex]

And we can do something similar for KL and we got:

[tex] d_{KL} =\sqrt{(-5-3)^2 +(2-2)^2}= 8[/tex]

And we can do something similar for LM and we got:

[tex] d_{LM} =\sqrt{(-5+5)^2 +(-1-2)^2}= 3[/tex]

And we can do something similar for MJ and we got:

[tex] d_{MJ} =\sqrt{(-5-3)^2 +(-1+1)^2}= 8[/tex]

And the perimeter would be:

[tex] P = d_{JK} + d_{KL} +d_{LM} +d_{MJ} = 3+8+3+8 =22[/tex]

The perimeter of the rectangle with the given vertices is: 22 units.

Recall:

Thus, find the length (JK) and width (KL) of the rectangle.

Width of rectangle = distance between J(-1,3) and K(2,3):

[tex]JK = \sqrt{(3 - 3)^2 + (2 - (-1))^2} \\\\JK = \sqrt{(0)^2 + (3)^2} \\\\JK = \sqrt{9} \\\\JK = 3[/tex]

Length of rectangle = distance between K(2,3) and L(2,-5)

[tex]KL = \sqrt{(-5 - 3)^2 + (2 - 2)^2} \\\\KL = \sqrt{(-8)^2 + (0)^2} \\\\KL = \sqrt{64} \\\\KL = 8[/tex]

Perimeter of the rectangle = 2(length x width)

Perimeter of the rectangle = 2(8 + 3)

Perimeter = 2(11)

Perimeter = 22 units

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Answer: 6

Explanation: The mean of a data set is the sum of the numbers in the data set divided by however many numbers are in the data set.

So, let's begin by adding the numbers.

So we have 3 + 2 + 2 + 12 + 6 + 5 + 14 + 4 which is 48.

Now we divide 48 by the number of numbers in the set which is 8.

48 ÷ 8 is 6.

So the mean of the given data set is 6.

Answer: The correct options are

(B) (x-6)^2+y^2=36,

(D) (x+6)^2+y^2=36.

Answer:

25%

Step-by-step explanation:

50% x 50%

Answer:

A. 1/5

Step-by-step explanation:

got on edge

Answer:

Option 3.

Step-by-step explanation:

Let T=Total, B=Brother and S=Sister. By using given diagram, we get

[tex]n(B)=28+68=96[/tex]

[tex]n(S)=82+68=150[/tex]

[tex]n(T)=28+68+82+52=230[/tex]

[tex]n(B\cap S)=68[/tex]

Using this information, we get

[tex]P(B)=\dfrac{n(B)}{n(T)}=\dfrac{96}{230}\approx 0.42[/tex]

[tex]P(S)=\dfrac{n(S)}{n(T)}=\dfrac{150}{230}\approx 0.65[/tex]

[tex]P(S|B)=\dfrac{P(B\cap S)}{P(B)}=\dfrac{n(B\cap S)}{n(B)}=\dfrac{68}{96}\approx 0.71[/tex]

[tex]P(B|S)=\dfrac{P(B\cap S)}{P(S)}=\dfrac{n(B\cap S)}{n(S)}=\dfrac{68}{150}\approx 0.45[/tex]

The probability P(S|B) has the largest value.

Therefore, the correct option is 3.