The set of life spans of an appliance is normally distributed with a mean mc013-1.jpg = 48 months and a standard deviation mc013-2.jpg = 8 months. What is the life span of an appliance that has a z-score of –3?

Answer:

B) x - 12 ≥ 18.

Step-by-step explanation:

Given : Twelve fewer than a number is at least 18.

To find : Which inequality represents the following sentence?.

Solution : We have given

Twelve fewer than a number is at least 18.

Let the number be  x .

According to question :

Twelve is less than a number x .

x - 12  ( negative sign used for fewer).

x - 12 ≥ 18.

Here we used greater than equal to sign because x- 12 is at least 18 mean is must be 18 or greater than 18.

Then equation become x - 12 ≥ 18.

Therefore, B) x - 12 ≥ 18.

Answer:  The correct option is (b) [tex]-4\leq y\leq 2.[/tex]

Step-by-step explanation:  We are given to select the correct range of the following function

[tex]y=3\cos x-1.[/tex]

We know that the range of the cosine function is from - 1 to 1.

That is,

[tex]-1\leq \cos x\leq 1\\\\\Rightarrow -(1)\times 3\leq 3\times \cos x\leq 3\times 1\\\\\Rightarrow -3\leq 3\cos x\leq 3\\\\\Rightarrow -3-1\leq 3\cos x-1\leq 3-1\\\\\Rightarrow -4\leq 3\cos x-1\leq 2\\\\\Rightarrow -4\leq y\leq 2.[/tex]

Thus, the range of the given function is [tex]-4\leq y\leq 2.[/tex]

Option (b) is CORRECT.

Answer:

Step-by-step explanation:

Answer:

Here is my answers for the practice that I have come across. It may be the new one. I also shortened it.

1. find the SA of a grape fruit with a c of 14cm.

62 cm^2

2. a sphere has a volume of 900 ci. find SA

451

3. a solid metal cube with an edge length of 9 in is melted and reshaped into a sphere. which is SA of sphere

391.7

4. the sphere below fits snugly inside a cube with 6 in edges what is the v of the space between the sphere and the cube

102.9

5. find the v in terms of pi of a sphere with a SA of 9 pi square feet

9/2 pi ft^3

6. which of the following is the greatest the total v of 3 sphere each of which a diameter of 5 in the v of one sphere that has a diameter 8 in or the v of a hemisphere with a diameter of 10 in

the v of 1 sphere with a diameter of 8 in is greatest

7. a sphere has center  0 0 0 and a radius of 5

0 -3 4

8. find v of figure the diameter of the base is 4 cm

46/3 pi cm^3

9. a sphere with a radius of 5 cm fits inside a box every face is tangent to the sphere

6 pi

10. tennis balls are sold in packs of 3 and come packaged in a plastic cylindrical container there is no space between

69 square inches

Step-by-step explanation:

Answer:

1 - B and C

2 - B and C

Step-by-step explanation:

Ques 1: We know that,

Zero Product Property states that 'If ab=0, then either a=0 or b=0 or both are zero'.

So, from the options, we see that,

The equation [tex](x-3)(x+4)=0[/tex] can be solved using this property.

Also, the equation [tex]2x^2+6x=0[/tex] can be simplified to [tex]2x(x+3)=0[/tex].

So, this [tex]2x(x+3)=0[/tex] can also be solved by the given property.

Since, the other options cannot be factorized.

Ques 2: We know that,

The quadratic formula is used to solve find the solution of the quadratic equation of the form [tex]ax^2+bx+c=0[/tex].

So, from the options, we see that,

The equations [tex](x-3)^2=36[/tex] and [tex](x+8)(x+9)=0[/tex] can be solved directly by using the 'Zero Product Property'.

The other equations cannot be solved directly and would be solved using the quadratic formula.

Jerry completed the most work time.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

Sally has completed 1/3 of her shift.

Jerry has completed 5/6 of his shift.

David has finished 1/2 of his shift.

Mona has 7/8 of her shift remaining.

Now,

Since, Mona has 7/8 of her shift remaining.

Hence, The time for Mona = 1 - 7/8

                                          = 1/8

We make all the denominator equal by taking LCM of 3, 6, 2, 8.

Thus, LCM of [3, 6, 2, 8] = 24

Hence, Sally has completed 8/24 of her shift.

Jerry has completed 20/24 of his shift.

David has finished 12/24 of his shift.

Mona has completed 3/24 of his shift.

Clearly, Jerry completed the most work time.

Thus, Jerry completed the most work time.

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To find the number of pixels brighter than 163 gray levels in a digital camera histogram, calculate the Z-score and use it to determine the percentage of values above that score, resulting in 160,000 pixels.

A gray-scale digital camera with 1,000,000 pixels has a histogram with a mean of 125 and standard deviation of 15 gray levels. To find the number of pixels brighter than 163 gray levels, first calculate the Z-score for 163: Z = (163 - 125) / 15. Then, use a Z-table or calculator to find the percentage of values above this Z-score, which corresponds to the number of pixels brighter than 163.

The answer to the question is 160,000 pixels brighter than 163 gray levels.

The variation is a direct variation, and the function to model it is y = 3x

From the table, we can see that:

The y values are calculated by multiplying the corresponding x values by 3

Take for instance;

When x = 3, y = 9

When x = 9, y = 27

Using the above pattern, the function to model the table is y = 3x

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Answer:

B. Neither

Step-by-step explanation:

Answer:

(square root) 30

Step-by-step explanation:

I don't know if that's right I'm taking this test right now it might be wrong sorry if its wrong lol

Answer:

A

Step-by-step explanation:

You had a typo with A, and I think that is the answer as well, seeing as you typed all of your other answers correct, and none of them were labeled open by the first answerer, despite the typo.

Answer:

i got the answer 5(sqrt6)/12

Answer:  

The measure of the base angle = 45°

Step-by-step explanation:

For better explanation of the solution see the attached figure of the diagram :

Given : An isosceles right triangle ABC

To find : Measure of the base angle

Solution :

Since, The triangle is right angle triangle.

⇒ m∠B = 90°

Also, ΔABC is an isosceles triangle

So, AB = BC

Now, Angles opposite to equal sides are equal

⇒ m∠A = m∠C

Now, Using Angles sum property of a triangle

⇒ m∠A + m∠B + m∠C = 180°

⇒ m∠C + 90° + m∠C = 180°

⇒ 2m∠C = 180° - 90°

⇒ 2m∠C = 90°

⇒ m∠C = 45°

Hence, The measure of the base angle = 45°

Answer:

the answer  60

Step-by-step explanation:

First I did 10x7 which equals 70, Second I did 5x7 which equals 35 and then subtracted 5 to get 30, Third I did 100-70 to get 30 and than I did 30+30 to get 60.

Answer:

Choices B, C, and D are correct.

Step-by-step explanation:

Euclid's Five postulates are as follows:

1. A straight line segment may be drawn from any given point to any other.

2. A straight line may be extended to any finite length.

3. A circle can be drawn with any center and radius.

4. All right angles are congruent/equal to each other.

5. Through a point not on a given line, there is exactly one line parallel to the given line.

Now looking at these postulates and the choices we are given we see that only choice B, C, and D match with above.

From the options given, the statements that are among the five basic postulates of Euclidean Geometry are: B, C, and D.

The five (5) basic postulates are:

Therefore, from the options given, the statements that are among the five basic postulates of Euclidean Geometry are: B, C, and D.

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One inch on the map is equal to 1000 miles.

To find what one inch would equal on the map, we can set up a proportion using the given information. We know that three-fourths of an inch on the map equals 750 miles. Therefore, the proportion would be: 3/4 inch = 750 miles. To find what one inch would equal, we can cross multiply and solve for the missing value:

3/4 inch * 1 inch = 750 miles * 1 inch

Simplifying, we get: 3/4 = 750 miles * 1 inch

Dividing both sides by 3/4, we get: 1 inch = (750 miles * 1 inch) / (3/4)

Simplifying further, we find that one inch on the map is equal to 1000 miles.

The solution explains how to find the number of bikes and tricycles in a garage based on the total number of wheels and the given combination.

The question: A garage contains a combination of 20 bikes and tricycles. There are a total of 44 wheels.

Step-by-step solution:

Let's denote the number of bikes as B and the number of tricycles as T.

Each bike has 2 wheels, so the total number of wheels contributed by the bikes is 2B.

Each tricycle has 3 wheels, so the total number of wheels contributed by the tricycles is 3T.

Given that the total number of wheels is 44, we can form the equation: 2B + 3T = 44.

Since there are 20 bikes and tricycles in total, we have the equation: B + T = 20.

Solving the system of equations, we find that there are 12 bikes and 8 tricycles in the garage.

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 1 gallon covers 350 square feet.

2.5 gallons will cover 875 square feet.

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

A man can walk 8 miles in 2 hour

In one hour, the man can walk for 4 miles

We have,

One gallon covers 350 square feet.

This can be written as:

1 gallon = 350 square feet

Multiply both sides by 2.5.

2.5 x 1 gallon = 2.5 x 350 square feet

2.5 gallons = 875 square feet

Thus,

If 1 gallon covers 350 square feet.

2.5 gallons will cover 875 square feet.

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Answer:

  see below

Step-by-step explanation:

The arc length (s) can be found in terms of angle (θ) and radius (r) as ...

  s = rθ

Dividing by r gives ...

  s/r = θ

Since the angles are the same for the two circles, the ratios of interest are ...

  [tex]\dfrac{s_1}{r_1}=\dfrac{s_2}{r_2}=\theta [/tex]