Subtract: −11−(−6)
please help i can noot g iit

Step 1:

Find the greatest common factor of -45x and +72.

3 | -45x | +72

-----------------------------------------

3 | -15x | +24

-----------------------------------------

| -5x | +8

Therefore, the greatest common factor of -45x and +72 is 3 x 3 = 9

Step 2:

Factor out the greatest common factor

Therefore the correct answer 9(-5x + 8)

a) The Probability density function of given uniform distribution example is

F(x) = 1/3.5 for 8.5 < x< 12

Uniform distribution in Statistics is a type of probability distribution in which all possible outcomes have equally likely chance to occur. It is generally represented by U(x,y) where

x ---> minimum value and y---> maximum value

Probability density function is a probability function which defines the density of continuous random variable lying between specified range

values. It is denoted by f( a<X<b)

Probability density function for uniform distribution is F(x) = 1/(b-a) for a<x<b where a and b are parameters of uniform distribution.

We have following informations,

weigh of mini iPad = 11 ounces or 50% lighter than standard iPad.

Assume that the battery of iPad is uniformly distributed between 8.5 hours to 12 hours.

this implies a = 8.5 , b = 12

F(x) = 1/(12 - 8.5) = 1/3.5 for 8.5<x<12

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#Complete Qestion :

In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the mini ipad showed that battery life is uniformly distributed between 8.5 and 12 hours. what is the value of 'a'? answer to one decimal. Assume that the battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

a) What is the probability that the battery life for an iPad Mini will be 10 hours or less?

The value of the variable is x > 16/3. Option D

From the information given, we have that the inequality is expressed as;

16 (1/4x - 1/2) > 24 - 2x

First, we have to expand the bracket, we have;

16 ×1/4x - 16 × 1/2 > 24 - 2x

Divide the values, we get;

4x - 8 > 24 - 2x

Now, we have to collect the like terms, we get that;

4x + 2x > 24 + 8

Add the collected values of like terms, we have;

6x > 32

Now, divide both sides by the coefficient of x, we have;

x > 32/6

Divide the values, we have;

x > 16/3

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The correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

To find the unknown value, k, in the proportion (k)/(1.2) = (4)/(3), we can cross-multiply and solve for k.

cross-multiplying the proportion, we have:

3k = 4 * 1.2

Multiplying the numbers:

3k = 4.8

To isolate k, we divide both sides of the equation by 3:

k = 4.8 / 3

Evaluating the division, we find:

k ≈ 1.6

Therefore, the correct answer is 1.6. By solving the proportion, we determined that the value of k that satisfies the given equation is approximately 1.6.

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Answer:

Step-by-step explanation:

-3x + y = 22     ⇒  y = 3x + 22

-12x - 10y = -10  and  y = 3x + 22

-12x - 10(3x + 22) = -10

-12x - 30x - 220 = -10

               +220       +220

 - 42x  = 210  

 ÷(-42)     ÷(-42)

    x = -5

y = 3(-5) + 22 = -15 + 22 = 7

Answer:

\(\boxed 3 \: h(x) = 14 {x}^{3} - 7 {x}^{2} + 12\)

Answer:

48.5 × 35 = 1697.5

48.5 is 1/10 of 485. The answer of 48.5 × 3 must be 1/10 of the answer of    485 × 3. 1/10 of 16975 = 1697.5

Step-by-step explanation:

485 × 35 = 16975

48.5 × 35 = 1697.5

Mean, Median, and Mode

Mean - Add all the numbers then divide by the number of numbers you added.

Median - The center of a set of numbers. (In a, b, c, d - b+c/2 is the median.)

Mode - The number that appears the most in a set of numbers.

They are called measures of center because they are statistics that describe the center of a set of data.

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Answer:

17

Step-by-step explanation:

8+9 is 17

Answer:

89

it's helpful ya lol :)

I think it's 17 :(

Answer:

B. 15:20

Step-by-step explanation:

The simplest of all ratios is 3 to 5 since they are prime numbers; therefore, all the ratios but 1 will equal to 3 to 5.

Ratio A:   27 and 45 have a common factor of 9 so when you do (27 ÷ 9) to (45 ÷ 9) you get 3:5.

Ratio B: 15 and 20 have a common factor of 5, so when you do (15 ÷ 5) to (20 ÷ 5), you get 3:4. 3:4 is not equivalent to 3:5.

Ratio C: 9 and 15 have a common factor of 3, so when you do (9 ÷ 3) to (15 ÷ 3), you get 3:5.

The only one that isn't equivalent to 3:5 is B.

Hope this explanation helps :)

Answer:

slope (m) is 4, y-intercept (m) is -3

Step-by-step explanation:

y=4x-3

use y¹-y² over x¹-x² to find slope, then use one of the points to fill in for x and y to find y-intercept

Answer:

13.6 in

Step-by-step explanation:

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 22/7

r = radius

5320 = 2/3 x r^3 x 22/7

r^3 = 5320 x 3/2 x 7/22

find the cube root of both sides

r = 13.6

Answer:

1.D 2.C 3.A 4.B

Step-by-step explanation:

hope this helped

The amount raised by a booster club compared with the number of  raffle tickets sold shows a constant rate of change;

A constant rate of change is realized when a change in one situation always results in a change in another. In the scenario of a booster club that regularly sells raffle tickets, the more tickets it sells, the higher the club gets.

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The time taken for the for the train to arrive is 11.2 hours.

1) We have;

distance (d) = 616 miles

Speed (v) = 55 miles per hour

time (t) = distance/speed = 616 miles/55 miles per hour = 11.2 hours

2) We have;

Interest (I) =  $3,360

Principal (P) = $6,000

Rate (R) = 7%

Time = 100 I/PR

Time = 100 × 3,360/6,000 × 7

Time = 8 years

3) Area (A) = 84 square meters

Height (h) = 12 meters

Base (b) = 2 A/h = 2 × 84/12 = 14 meters

4) Perimeter = 37 inches

width = 10 inches

length = P/2 - w = 37/2 - 10 = 8.5 inches

5) V = πr^2h

For the first cylinder;

V = 2009.6 cubic centimeters

h = 10 centimeters

r = √V/πh

r = √2009.6 /3.14 × 10

r = 8 centimeters

For the second cylinder;

r = √V/πh

r = √196.25/3.14 × 10

r= 2.5 centimeters

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Using the Combination formula,

Total number of ways there to paint 10 hotel rooms in a hotel with five colours is 527 ways .

We have given that,

total number of rooms available for paint = 10

number of colour avaliabile for painting = 5

Atmost three rooms can be painted green i.e

the number of ways for atmost three rooms are painted green = ¹⁰C₃ + ¹⁰C₂ + ¹⁰C₁ = 120 + 45 + 10 = 175

similarly, the number of ways for atmost three rooms are painted red = 175

the number of ways for atmost three rooms are painted blue = 175

Now, one room is remained for painting and two colours are available for it

the number of painting the remained room with aany of two available colours i.e black and white

= 2 ways

thus , total ways to paint the 10 hotel rooms with five different paints are (175×3 +2) = 527

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When receiving ammunition, unit personnel perform three tasks: ensuring items requested match item numbers on DA Form 3151-R, loading and securing the ammunition, and placarding the vehicle.

The first task performed by unit personnel when receiving ammunition is to ensure that the items requested match the item numbers on DA Form 3151-R. This form serves as a record of the types and quantities of ammunition being received. By comparing the requested items with the item numbers on the form, personnel ensure accuracy and prevent any discrepancies or errors in the delivery.

The second task involves the loading and securing of the ammunition. Unit personnel are responsible for safely and efficiently loading the ammunition onto the designated vehicle or storage area. This includes following proper handling procedures, using appropriate equipment, and adhering to safety protocols. The ammunition must be securely stored and arranged to prevent shifting or damage during transportation.

The final task is to placard the vehicle. Placarding involves visibly displaying the necessary warning signs or labels on the vehicle that indicate the presence of ammunition. This step is crucial for safety and compliance purposes, as it alerts other personnel and drivers to exercise caution when approaching or handling the vehicle. Clear and prominent placarding helps prevent accidents and ensures that everyone involved is aware of the potential hazards associated with transporting ammunition.

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Answer:

12x + 11

Step-by-step explanation:

Combine like terms

Answer:

B. 12x + 11 :)

Step-by-step explanation:

Answer:

82.9+38.6=121.5 miles far away.

There are 3 groups of 11 travellers each or 11 groups of 3 travellers each.

Since we have 33 travellers and we need to divide them into equal sized groups, we need to find the factors of 33.

So, 33 = 1 × 33 = 3 × 11

So, the two factors of 33 we require are 3 and 11.

Since 11 × 3 = 3 × 11,

So, 3 × 11 implies that we can have 3 groups of 11 travellers each and,

11 × 3 implies that we can have 11 groups of 3 travellers each.

So, there are 3 groups of 11 travellers each or 11 groups of 3 travellers each.

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Answer:

You can fit 11 circles                        

There are 3 circles of radius 1 unit can you fit inside a circle of radius 4 units.

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle is shown with radius 4 units.

Now,

Since, The circle is shown with radius 4 units.

Cleary, 4 = 1 + 1 +1 + 1

So, We get 4 circle of radius 1 unit can you fit inside a circle of radius 4 units.

But we find the circle that they don't overlap.

Hence, There are 3 circles of radius 1 unit can you fit inside a circle of radius 4 units.

Thus, There are 3 circles of radius 1 unit can you fit inside a circle of radius 4 units.

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Answer:

Step-by-step explanation:

(70 x 10^-4) x (60 x 10^6) = (70 x (\(\frac{1}{10}\) x  \(\frac{1}{10}\) x  \(\frac{1}{10}\) x  \(\frac{1}{10}\))) x ( 60 x 1000000)

= 70 x \(\frac{1}{10000}\) x 60000000 = 420000

Answer:

(70x10^-4) x (60 x 10^6) = 420000

so the answer would be

420000

Answer:

C:y = 3^x

Step-by-step explanation:

The answer is C because the rate of change is always -6.

Answer:

20 mins

Step-by-step explanation:

2003 17 2005 20

Answer:

The last year value of the house will be $230,000.

Step-by-step explanation:

GIVEN: Decrease in house price = 20%

            Current house price = $184,000

TO FIND: Value of the house last year

SOLUTION:

If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.

Let the value of the house last year be 'x'.

If the value of the house today is  $184,000, then:

                           \(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)

Therefore, the last year value of the house will be $230,000.

Answer:

Step-by-step explanation:

3.3%

Answer:According to the metric/decimal ratings for visual acuity, the statement "6/6 is equal to 1.0" is true.

The metric/decimal ratings for visual acuity are used to express a person's ability to see. Visual acuity is a measure of the clarity of vision, which is defined as the sharpness of vision. In the metric/decimal system, visual acuity is expressed as a decimal fraction ranging from 0.1 to 1.0. A visual acuity of 0.1 corresponds to a Snellen chart reading of 6/60 (i.e., the person can see at 6 meters what a person with normal vision can see at 60 meters), while a visual acuity of 1.0 corresponds to a Snellen chart reading of 6/6 (i.e., the person can see at 6 meters what a person with normal vision can see at 6 meters).Therefore, it is true that 6/6 is equal to 1.0 according to the metric/decimal ratings for visual acuity.

Visual acuity is a measure of the clarity of vision, which is defined as the sharpness of vision. In the metric/decimal system, visual acuity is expressed as a decimal fraction ranging from 0.1 to 1.0. A visual acuity of 0.1 corresponds to a Snellen chart reading of 6/60, while a visual acuity of 1.0 corresponds to a Snellen chart reading of 6/6. Therefore, it is true that 6/6 is equal to 1.0 according to the metric/decimal ratings for visual acuity.

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Answer:

$322000

Step-by-step explanation:

A woman owns the W½ of the NW¼ of the NW¼ of a section.

= 640/2/4/4 = 20 acres

She wants to buy remaining of NW 1/4  = 640/4-20 = 140 acres.

It would cost = 140*2300 = $322000

Therefore, it cost $32000 to purchase the part.