company xyz know that replacement times for the quartz time pieces it produces are normally distributed with a mean of 12.6 years and a standard deviation of 0.9 years.find the probability that a randomly selected quartz time piece will have a replacement time less than 10 years?

The probability that the sum of the numbers rolled is either even or a multiple of 5 is 22/36 or 11/18.

The probability that the sum of the numbers rolled is either a multiple of 3 or a multiple of 4 is 20/36 or 5/9.

The outcomes of rolling two dices together are:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6).

The sum of the outcomes on the dice are:

2, 3, 4, 5, 6, 7,

3, 4, 5, 6, 7, 8,

4, 5, 6, 7, 8, 9,

5, 6, 7, 8, 9, 10,

6, 7, 8, 9, 10, 11,

7, 8, 9, 10, 11, 12.

Now, we are asked for the probability that the sum of the numbers rolled is either even or a multiple of 5.

Favorable outcomes = 2, 4, 5, 6, 4, 5, 6, 8, 4, 5, 6, 8, 5, 6, 8, 10, 6, 8, 10, 8, 10, 12.

Thus, the number of favorable outcomes = 22.

The total number of outcomes = 36.

Thus, the probability that the sum of the numbers rolled is either even or a multiple of 5 is 22/36 or 11/18.

Now, we are asked for the probability that the sum of the numbers rolled is either a multiple of 3 or a multiple of 4.

Favorable outcomes = 3, 4, 6, 3, 4, 6, 8, 4, 6, 8, 9, 6, 8, 9, 6, 8, 9, 8, 9, 12.

Thus, the number of favorable outcomes = 20.

The total number of outcomes = 36.

Thus, the probability that the sum of the numbers rolled is either a multiple of 3 or a multiple of 4 is 20/36 or 5/9.

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Answer:

12 < x

Step-by-step explanation:

x represents the numebr of lawns he mowed last week

also i don't see any graphs.

Answer:

52, 53, 54, pack 1.

Step-by-step explanation:

1)

1.56 = 30

10 = 1.56 / 3

10 = 52 pence

2)

2.12 = 40

10 = 2.12 / 4

10 = 53 pence

3)

3.78 = 70

10 = 3.78 / 7

10 = 54 pence

The cheapest one is the small pack

Answer:

the answer is 9 degree's fahrenheit.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Work Shown:

C = 2*pi*r

C = 2*3.14*11

C = 69.08

C = 69.1

This is the approximate distance around the circle, aka the perimeter.

Answer:

Circumference of cake (69.08cm)Rounding nearest to tenth is 69.1cm

Step-by-step explanation:

Given:

To find:

Solution:

To find the circumference of the circle we are require radius and which is already mentioned in the Ques.

Formula

Circumference of cake = 2*3.14*11

Circumference of cake= 22*3.14

Circumference of cake = 69.08cm

Hence, the circumference of cake is 69.08cm.

Circumference of cake (69.08cm)Rounding nearest to tenth is 69.1cm

Answer:

By 3.

Step-by-step explanation:

-12-3=-15

Hope this helps!

Answer:

-12 exceeds -15 by 3

Step-by-step explanation:

To find out by how much a exceeds b, subtract a - b.

For example, by how much does 8 exceed 6?

Here, a = 8 and b = 6.

a - b = 8 - 6 = 2

2 is correct since we know that 8 is 2 greater than 6.

Now we do this problem.

By how much does -12 exceed -15?

a = -12; b = -15

a - b = -12 - (-15) = -12 + 15 = 3

Answer: -12 exceeds -15 by 3

Answer:

alternate interior angles and x = -6

Step-by-step explanation:

they should equal each other, so 75 = x+ 81

75-81 = -6

Answer:

1.) Zero ( 0 )

2.) 55.47 feet , 8.6 feet

3.) 17.2 feet

Step-by-step explanation:

The height, in feet, of the ball is given by the equation h(x)=−.25x2+4.3x, where x is the number of feet away from the golf club (along the ground) the ball is.

1.) Since the equation has no intercept,

The ball will start zero feet above the ground.

2.) The distance of the ball at the maximum height will be achieved by using the formula

X = -b/2a

Where b = 4.3, a = -0.25

Substitutes both into the formula

X = -4.3 / 2( - 0.25 )

X = - 4.3 / - 0.5

X = 8.6 feet

Substitute X into the function to get the maximum height

h(x) = −.25(8.6)^2 + 4.3(8.6)

h(x) = 18.49 + 36.98

h(x) = 55.47 feet

3) As the ball returns to the ground, the height will be equal to zero, therefore,

0 = -0.25x^2 + 4.3x

0.25x^2 = 4.3x

X = 4.3/0.25

X = 17.2 feet

The ball returns to the ground at about 17.2 feet away

If two random variables, Y1 and Y2, are independent, the condition that needs to be satisfied is that the joint probability distribution of Y1 and Y2 factors into the product of their individual probability distributions.

Mathematically, for independent random variables Y1 and Y2, the condition can be expressed as:

P(Y1 = y1, Y2 = y2) = P(Y1 = y1) * P(Y2 = y2)

This means that the probability of both events Y1 = y1 and Y2 = y2 occurring together is equal to the product of the probabilities of each event occurring individually.

In simpler terms, knowing the outcome or value of one random variable does not provide any information about the outcome or value of the other random variable if they are independent. They do not influence each other's probability distributions.

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The false statements are:

c. 3. z <= 4

d. 4. y > (z-x)

Statement 3 (z <= 4) is false because z is given as 8, which is greater than 4. Therefore, z is not less than or equal to 4.

Statement 4 (y > (z-x)) is false because when we substitute the given values, we get 6 > (8-5), which simplifies to 6 > 3. This is not true since 6 is not greater than 3.

The remaining statements are true:

Statement 1 (x == 5) is true because x is given as 5.

Statement 2 (x < (y + 2)) is true because when we substitute the given values, we get 5 < (6 + 2), which simplifies to 5 < 8.

Statement 5 (z >= (y+x)) is true because when we substitute the given values, we get 8 >= (6+5), which simplifies to 8 >= 11.

Statement 6 (y <= 6) is true because y is given as 6.

Therefore, the false statements are c. 3 and d. 4.

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In the image line segment SE is the tangent. The secant line making an angle with tangent line SE is NS. So the angle is ∠GSE. So option B is the correct answer.

Tangent is a line which intersect with only a single point on the curve. The point where the line meets is the point of tangency. Tangent line is always perpendicular to the radius drawn to the point of tangency. Here the tangent line is SE, point of tangency is S.

Secant lines are the lines which passes through two points of a curve. A chord drawn to the circle is a secant line. Here there are two secant lines NS and NA. Here only NS makes an angle with the tangent line.

So the angle made by a tangent and secant line is ∠GSE.

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The image for the question is attached below.

Answer:

2, 3, 4, 5

Step-by-step explanation:

Answer:

I believe 4 of these are correct,

answer choice, 2,3,4and

Step-by-step explanation:

2 and 3 are correct because of the inverse of the parallel theorem and answer choice 4 is just a straight line has an angle of 180. Since angle 3 corresponds to angle 7 also meaning they are congruent. We can say angle 1 and 7 add up to 180. As for answer 5, it is the same side interior thereom

The ladder reaches 24 feet high on the building.

The given parameters are:

Length of ladder (l) = 30 feet

Base of the ladder (b) = 18 feet

The height (h) of the ladder on the wall of the building is calculated as

h^2 =l^2 - b^2

This gives

h^2 = 30^2- 18^2

Evaluate

h^2 = 576

Take the square rots

h = 24

Hence, the ladder reaches 24 feet high on the building.

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An inequality that represents given scenario is 5 + 2.75x ≤ 21

For given question,

The $21 means that there is a limit to the number of stops she can take using the train.

From given information, we have the following parameters:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

The inequality that represents the scenario is calculated using:

Initial Fee + Rate × Number of stops ≤ Amount

We use ≤ because the total charges must not exceed the amount.

Let the number of stops be x.

The above formula becomes

5 + 2.75x ≤ 21

Therefore, an inequality that represents given scenario is 5 + 2.75x ≤ 21

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∠6 and ∠12 are supplementary angles. That means, they add up to 180°

Substitute ∠6 by 53° to find ∠12.

Subtract 53 from both sides to find ∠12.

Answer: ∠12 = 127°.

Answer:

Area of the square: 36

Step-by-step explanation:

6.1+8.2+9.7=24. Squares have 4 sides so 24/4=6. Area= base times highet, Base=6 Highet=6. 6 times 6=36!

Answer:

A=36 cm²

Step-by-step explanation:

the perimeter of triangle=a+b+c

P=6.1+8.2+9.7

P= 24 cm

P of triangle = P of square ( square has 4 equal sides):

24=4a

a=24/4=6

Area of square : a²

A=6² = 36 cm²

Answer:

27.5253% increase

Step-by-step explanation:

i got this answer right on khan academy

The correct graph of amounts of water plot the measurements on a line plot is shown in image.

We have to given that;

The amounts of water plot the measurements on a line plot are,

1/8 oz, 1/8 oz, 1/4 oz, 1./4 oz, 1/4 oz, 1/2 oz, 1/2 oz , 1/2 oz, 3/4 oz, 1 oz

Now, We have;

1/8 oz is repeats two times.

1/4 oz is repeats three times.

1/2 oz is repeats two times.

3/4 oz is only one times

And, 1 oz is repeats one time.

Thus, The correct graph of amounts of water plot the measurements on a line plot is shown in image.

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Answer:

-7

Step-by-step explanation:

2-3(3)=-7

The rate of climb required in feet per minute is 490.

The Ground Speed = 140 Knots

The ground speed in minutes = 140/60

                                                   = 2.33 knots

Required speed is in feets per minutes so mulitply the knots with 210

Required Rate =  210 X 2.33

                         = 489.93

                         ≈ 490.

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Answer:

​  Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*e-4-(6*e*(45+2*e))=0  

Step by step solution :

STEP

1

:

Equation at the end of step 1

 (3e - 4) -  6e • (2e + 45)  = 0  

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  -12e2 - 267e - 4  =   -1 • (12e2 + 267e + 4)  

Trying to factor by splitting the middle term

3.2     Factoring  12e2 + 267e + 4  

The first term is,  12e2  its coefficient is  12 .

The middle term is,  +267e  its coefficient is  267 .

The last term, "the constant", is  +4  

Step-1 : Multiply the coefficient of the first term by the constant   12 • 4 = 48  

Step-2 : Find two factors of  48  whose sum equals the coefficient of the middle term, which is   267 .

Step-by-step explanation:

\(4^5\cdot4^7=4^{5+7}=16,777,216\).

Hope this helps.

The function f(x) is differentiable for all x except at x = 0.the function f(x) = x^2 - 8, for x ≤ 0, and f(x) = 8 - x^2, for x > 0, is differentiable for all x except at x = 0.

To determine the differentiability of f(x), we need to check if the function is continuous and has a defined derivative at each point within its domain.

For x ≤ 0, the function is given as f(x) = x^2 - 8. The derivative of this function is f'(x) = 2x.

For x > 0, the function is given as f(x) = 8 - x^2. The derivative of this function is f'(x) = -2x.

The function f(x) is continuous for all x since both x^2 - 8 and 8 - x^2 are polynomial functions, which are continuous everywhere. However, at x = 0, the left-hand and right-hand limits do not match, making f(x) non-differentiable at this point.

In summary, the function f(x) = x^2 - 8, for x ≤ 0, and f(x) = 8 - x^2, for x > 0, is differentiable for all x except at x = 0. Therefore, the set of x-values at which f is differentiable can be expressed as (-∞, 0) ∪ (0, +∞) in interval notation.

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Step-by-step explanation:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Answer:

area of square=side*side

Step-by-step explanation:

area=7*7=49m^2

cost of new carpet=49*$54.00= $2646

The point- slope form of the line is y-5 = -0.25(x+6).

What is line?

A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.

A line with a slope of –1/4 passes through the point (–6,5)

Any line in point - slope form can be written as

y - y₁= m(x -x₁) -------(1)

where,

y= y coordinate of second point

y₁ = y coordinate of first point

m= slope of the line

x= x coordinate of second point

x₁ = x coordinate of first point

In the given problem (x₁ , y₁) = (-6,5) and m= -1/4

Putting all these values in equation (1) we get,

y-5= (-1/4) (x- (-6))

⇒ y-5 = -0.25(x+6)

Hence, the point- slope form of the line is y-5 = -0.25(x+6).

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Answer: 400 feet, 4800 inches

Step-by-step explanation: i believe it is 400 feet because if you calculate the area of the first strip you would get 14400 in INCHES. you already know one dimension of the next strip, 3 inches so divide 14400 by 3 because we now know a gallon can paint 14400 inches. then u get 4800 inches, divided by twelve gives you the feet! so the answer is 400 i think

sorry if my answer was really confusing

Answer:

400 feet

Step-by-step explanation:

First we need to find out how much surface area a gallon of paint can cover.

We also need to make sure we're using the same units.

4 inches × 300 feet = a gallon of paint

1 foot = 12 inches

300 feet = (12 × 300) 3600 inches

4 inches × 3600 inches = 14,400 inches² = 1 gallon of paint

If the strip is reduced down to 3 inches, how long will the strip be?

We can now form an equation. 14,400 inches is the total, 3 inches is a known variable and the length of the strip is unknown.

Let the unknown be x

3 × x = 14,400

x = 14,400 inches² ÷ 3 inches

x = 4800 inches

We should now change this back to feet by dividing 4800 inches by 12

4800 ÷ 12 = 400 feet

Answer:

134

Step-by-step explanation:

9×268 =2412

2412÷3= 804

804÷6=134

To prove that triangle FGE and triangle IJH we need information like the two sides of each triangle and the included angle to be congruent.

To prove two triangles are similar by the SAS is that you need to show that two sides of one triangle are proportional to two corresponding sides of another triangles, with the included corresponding angles being congruent.

For the SAS postulate you need two sides and the included angle in both triangles.

Side-Angle-Side (SAS) postulate:-

If two sides and the included angles of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS postulate relate two triangles and says that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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