Find the least common denominator for these fractions. Enter your answer in
the space provided.

Answer:

ok so they test 7 components so the probity of getting a bad one for each is 0.2 so we just multiply this 7 times

0.2*0.2*0.2*0.2*0.2*0.2*0.2=0.0000128

Hope This Helps!!!

The required probability will be 0.0000128 that the first defect is found in the seventh component tested.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have been given that a company ships computer components in boxes that contain 50 items.

Assume that the probability of a defective computer component is 0.2.

As per the given condition, the required solution would be as:

They test seven components, and the probability of obtaining a defective one for each is 0.2, so we just multiply this by seven.

⇒ 0.2×0.2×0.2×0.2×0.2×0.2×0.2

⇒ 0.0000128

Thus, the required probability will be 0.0000128 that the first defect is found in the seventh component tested.

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Answer:

1

Step-by-step explanation:

m = y2-y1 / x2-x1

m = -6+1 / 3-7

m = -5/-5

m = 1

Answer:

Slope = -5/4

Step-by-step explanation:

No triangles can be constructed with the given side lengths.

As, The triangle inequality is a mathematical theorem that states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In other words, for a triangle with sides a, b, and c, where c is the longest side, the following inequality holds true:

a + b > c

Here, sides of triangle are 4cm, 5 cm and 9 cm.

So, 4 + 5 = 9

Thus, No triangles can be constructed with the given side lengths.

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Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

Answer:

Thank you, you are very sweet and kind!

Step-by-step explanation:

Have a good day!

Answer:

thx

Step-by-step explanation:

Answer:

\(\displaystyle A=\frac{20}{3}\)

Step-by-step explanation:

\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)

Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.

Answer: Area 6 Perimeter 12

Step-by-step explanation:

First, you have to find the perimeter. 4+5+3=12. Then, you need to find the area, which is base*height/2. The base is 3 and the height is 4. 4*3=12. Then you need to do 12/2=6. The area is 6

Answer:

The answer for P=12cm,A=6cm²

Step-by-step explanation:

Perimeter of triangle=a+b+c

P=5+3+4

P=12cm

Area of triangle =1/2bh

A=1/2×3×4

A=2×3

A=6cm²

Answer:

The ocean

Step-by-step explanation:

Answer:

don't worry bro I gotchu

Step-by-step explanation:

go to your phone rn

next to to siri

and den ask her

Answer:

1. The mean is -48.

2. The mean is -1

3. The answer is 3

Step-by-step explanation:

Answer:

Average annual age-adjusted mortality rate was 0.43 deaths/100 000 inhabitants (95% CI 0.40-0.46). The burden of leprosy deaths was higher among males, elderly, black race/colour and in leprosy-endemic regions. Lepromatous leprosy was the most common clinical form mentioned.

Step-by-step explanation:

Today, about 208,000 people worldwide are infected with leprosy, according to the World Health Organization, most of them in Africa and Asia. About 100 people are diagnosed with leprosy in the U.S. every year, mostly in the South, California, Hawaii, and some U.S. territories.

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Step-by-step explanation:

The awnser is c the square is enlarged by 4

Answer:

c

Step-by-step explanation:

becuase both sides moevd by 4 up and down

Solution :

Given :

2y''' + 15y'' + 24y' + 11y= 0

Let x = independent variable

\((a_0D^n + a_1D^{n-1}+a_2D^{n-2} + ....+ a_n) y) = Q(x)\)  is a differential equation.

If \(Q(x) \neq 0\)

It is non homogeneous then,

The general solution  = complementary solution + particular integral

If Q(x) = 0

It is called the homogeneous then the general solution =  complementary solution.

2y''' + 15y'' + 24y' + 11y= 0

\($(2D^3+15D^2+24D+11)y=0$\)

Auxiliary equation,

\($2m^3+15m^2+24m +11 = 0$\)

-1  | 2    15    24     11

    | 0   -2    - 13    -11  

      2    13    11       0

∴ \(2m^2+13m+11=0\)

The roots are

\($=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$\)

\($=\frac{-13\pm \sqrt{13^2-4(11)(2)}}{2(2)}$\)

\($=\frac{-13\pm9}{4}$\)

\($=-5.5, -1$\)

So, \(m_1, m_2, m_3 = -1, -1, -5.5\)

Then the general solution is :

\($= (c_1+c_2 x)e^{-x} + c_3 \ e^{-5.5x}$\)

Answer:

Plane speed: 100  &  Wind:20

Step-by-step explanation:

Plane speed =x mph

wind speed =y mph

against wind 6 hours

with wind 4 hours

Distance against 480 miles distance with 480 miles

t=d/r against wind -

480 / ( x - y )= 6

6 ( x - y ) = 480

6 x - 6 y = 480 ....................1

480 / ( x + y )= 4.00

4.00 ( x + y ) = 480

4.00 x + 4.00 y = 480 ...............2

Multiply (1) by 4

Multiply (2) by 6 24

we get

24.00 x + -24 y = 1920

24.00 x + 24 y = 2880

48 x = 4800

/ 48

x = 100 mph

plug value of x in (1)

6 x -6 y = 480

600 -6 y = 480

-6 y = 480 -600

-6 y = -120 mph

y = 20

Plane speed 100 mph

wind speed 20 mph

Step-by-step explanation:

87,959 ==> 88,000 is the nearest hundred

The answer is:

Work/explanation:

When rounding to the nearest hundredth, round to 2 decimal places (DP).

Which means we should round to 5.

5 is followed by 9, which is greater than or equal to 5. So, we drop 9 and add 1 to 5 :

87. 96

You have the following inequality:

8 + 4x > 12

in order to solve the previous inequality, proceed as follow:

8 + 4x > 12 subtract 8 both sides

4x > 12 - 8

4x > 4 divide by 4 both sides

x > 1

Hence, the solution to the given inequality is x > 1

Answer:

T= 2min

Step-by-step explanation:

explanation in the photo below

I hope it helps.

Answer:

7.2

Step-by-step explanation:

The amplitude is half the difference between the maximum and the minimum.

A = (7.7 − (-6.7)) / 2

A = 7.2

Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

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Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

Answer:

look at the picture i sent please

Answer:

Step-by-step explanation:

c, because 3+8 is 11 so c would be correct

The coffee distributor mixed 5 pounds of Kona coffee with 15 pounds of trade coffee.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of Kona coffee and y represent the amount of trade coffee, hence:

x + y = 20   (1)

Also:

12x + 15y = 20(14.25)      (2)

From both equations:

x = 5, y = 15

The coffee distributor mixed 5 pounds of Kona coffee with 15 pounds of trade coffee.

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Answer:

B: x≤5

Step-by-step explanation:

Hi there!

We're given two inequalities; 3x−8≤23  and −4x+26≥6

We need to find the values of x that make BOTH of the inequalities true (which is the intersection of the two inequality graphs)

First, let's solve for x in both of them

taking the first inequality:

3x−8≤23  

add 8 to both sides

3x≤31

divide by 3

x≤31/3

now solve for x in −4x+26≥6

subtract 26 from both sides

-4x≥-20

divide both sides by -4 and remember to FLIP the inequality sign since we have a negative number

x≤5

now let's graph these two inequalities to find the intersection, and that is below with the answer

Hope this helps! :)

Answer:

57 ounces

Step-by-step explanation:

He needs 28 oz of oil for every 44 cups. Multiply both to get 56 oz of oil for 88. Since there is one more cup of flour, you will need one more ounce of oil.

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

Answer:

3 gallons = 12 ounces

12 x 3 = 36 ounces

The explanatory variable is the clients while the response variable is change in duration.

A causal relationship is said to exist between variables whereby the occurrence of an event is as a result of another event.

In a causal relationship between variables, a value may represent explanatory variable while another value may represent a response variable.

An explanatory variable is the variable where observation of changes are being made such as the clients while the response variable are the outcome of the observation such as the duration of the run by each client.

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