What is the perimeter of the triangle?

The probability that it takes Rita more than 10 pulls to start her old mower can be calculated by finding the probability of failure in the first 10 pulls, which is \((0.8)^{10}\). This probability is approximately 0.1074, or 10.74%.

To find the probability that it takes Rita more than 10 pulls to start her mower, we need to calculate the probability of failure in the first 10 pulls. Since the probability of success (the mower starting) on any particular pull is 20%, the probability of failure on a single pull is 1 - 0.2, which is 0.8.

To calculate the probability of failure in the first 10 pulls, we multiply the individual probabilities of failure for each pull. Since each pull is an independent event, we can use the multiplication rule for independent events. Therefore, the probability that Rita fails to start the mower on the first pull is 0.8. The probability of failure on the second pull is also 0.8, and so on.

Multiplying the individual probabilities of failure for each of the 10 pulls, we get (0.8)^10, which is approximately 0.1074, or 10.74%. This means that there is approximately a 10.74% chance that it will take Rita more than 10 pulls to start her old mower.

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Answer:

12

Step-by-step explanation:

I forgot Sorry

Answer:

The answer is 7/8.

You can simply bring 9⅛ to the left hand side

You'll have your answer .

To verify

10-7/8 = 73/8

which further simplifies to 9⅛.

Thanks

Answer: 2.1 cm per minute

Step-by-step explanation:

567/27 =21 mm

convert mm to cm (1mm = 0.1c,)

21mm = 2.1cm

Answer:

2.1 cm or 21 mm

Step-by-step explanation:

567 ÷ 27 = 21

Therefore the turtle can crawl 21 mm in a minute.

To covert mm to cm, we simply divide by 10.

21 ÷ 10 = 2.1

Answer:

-400

Step-by-step explanation:

\(\textbf {The answer is h = -2/9.}\)

\(\textrm {We are given that 9/2h = -1. Hence, divide by 9/2 on both sides.}\)

\(\frac{9/2h}{9/2} = \frac{-1}{9/2}\)

\(\boxed {h = -\frac{2}{9}}\)

let

d1 = 250 mi the distance that Mattie Evans drove

v1 = the speed of Mattie Evans

d2 = 1300 mi the distance the plane traveled

v2 = the speed of the plane

The speed of the plane was 190 mph faster than the speed of the car:

v2 = v1 + 190

since time = distance/speed and they both traveled the same time we have

d1/v1 = d2/v2

250/v1 = 1300/v2 cross multiply

250v2 = 1300v1 divid eboth sides by 50

5v2 = 26v1

by solving the system of equations:

v2 = v1 + 190

5v2 = 26v1

we find

v1 = 45.24 mph

v2 = 235.24 mph

Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

The following can be shown about the diagonals of parallelogram PQRS to compare the proof that diagonals of a parallelogram bisect each other: B. PR and SQ have the same midpoint.

In Mathematics and Geometry, a parallelogram is a geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that has two (2) equal and parallel opposite sides.

In order for any quadrilateral to be considered as a parallelogram, two pairs of its parallel opposite sides must be equal (congruent). This ultimately implies that, the diagonals of a parallelogram would bisect one another only when their midpoints are the same:

(Line segment PR)/2 = (Line segment SQ)/2

Line segment PR = Line segment SQ

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Therefore, the investment will be worth $9757.23 after 11 years when a principal of $4200 is invested at 8.25% interest, compounded annually.

To find the amount that the investment will be worth after 11 years when a principal of $4200 is invested at 8.25% interest, compounded annually, we can use the formula:  `A = P(1+r/n)^(nt)`

Where:
A = final amount
P = principal amount
r = annual interest rate (as a decimal)
n = number of times the interest is compounded per year
t = number of years

Let's substitute the given values into the formula and solve:

Given,

P = $4200,

r = 8.25%

= 0.0825,

n = 1 (compounded annually), and

t = 11 years.

Now, `A = 4200(1+0.0825/1)^(1*11)` = $9757.23 (rounded to two decimal places)

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a) The new temperature after doubling the pressure while keeping the volume constant is 80°C. b) The new volume of the gas after cooling it down by 110°C with no change in pressure is 0.0686 m³.


a) According to the gas law, when the volume remains constant (V₁ = V₂), the ratio of initial pressure (P₁) to final pressure (P₂) is equal to the ratio of initial temperature (T₁) to final temperature (T₂) for an ideal gas. Mathematically, P₁/T₁ = P₂/T₂. Plugging in the given values (P₁ = 450 kPa, T₁ = 140°C, P₂ = 2P₁), we can solve for T₂ to find that the new temperature is 80°C.
b) When the pressure remains constant, the ratio of initial volume (V₁) to final volume (V₂) is equal to the ratio of initial temperature (T₁) to final temperature (T₂) for an ideal gas. Mathematically, V₁/T₁ = V₂/T₂. Plugging in the given values (V₁ = 0.2 m³, T₁ = 160°C, T₂ = T₁ - 110°C), we can solve for V₂ to find that the new volume is approximately 0.0686 m³.

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7/8 yards more blue ribbon was bought

The given parameters are

Blue ribbon = 1 3/8 yards

Green ribbon = 1/2 yards

The amount of excess ribbon that is blue is

Excess = Blue ribbon - Green ribbon

So, we have

Excess = 1 3/8 yards - 1/2 yards

Evaluate the difference

Excess = 7/8 yards

Hence, 7/8 yards more blue ribbon was bought

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The average rate of change of the population of Town 1 from 1980 to 1987 is hundred people per year, while the average rate of change of the population of Town 2 during the same period is also hundred people per year. From 1987 to 1995, the average rate of change of Town 1's population is hundred people per year, and for Town 2, it is also hundred people per year. Finally, from 1980 to 1995, the average rate of change of Town 1's population is hundred people per year, and for Town 2, it is also hundred people per year.

(a) To find the average rate of change of the population of Town 1 from 1980 to 1987, we calculate the difference in population and divide it by the number of years: (P1​1987 - P1​1980) / (1987 - 1980). Similarly, for Town 2, we use the formula: (P2​1987 - P2​1980) / (1987 - 1980). The result for both towns is hundred people per year.

(b) For the period from 1987 to 1995, we use the same approach. The average rate of change of Town 1's population is (P1​1995 - P1​1987) / (1995 - 1987), and for Town 2, it is (P2​1995 - P2​1987) / (1995 - 1987). Again, both towns have an average rate of change of hundred people per year.

(c) To calculate the average rate of change from 1980 to 1995, we divide the difference in population by the number of years: (P1​1995 - P1​1980) / (1995 - 1980) for Town 1 and (P2​1995 - P2​1980) / (1995 - 1980) for Town 2. As before, both towns have an average rate of change of hundred people per year.

In summary, for all three time intervals, the average rate of change of the population is the same for both Town 1 and Town 2, with a value of hundred people per year.

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The probability of P(prime) is 1/2.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given you rolled a 6-sided die.

The possible outcomes are {1, 2, 3, 4, 5, 6}.

In the sample space, the prime numbers are 2, 3 and 5.

Number of primes = 3

Total number of outcomes = 6

Probability of getting a prime number = 3/6 = 1/2

Hence 1/2 is the required probability.

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Answer: no solution

Step-by-step explanation:

distributing we have

(-2v-2) + 5v = (3v+3)-2

which will be equal to

3v -2 = 3v + 1

subtracting 3v we have

-2 = 1 which is false so no solution

Answer:

f

Step-by-step explanation:

from what i know you do division first so when you do that you get

.83 repeasted add theat to 46 and you ger 45.83 with the three repeated

Answer:

To write 45 as a fraction with a common denominator, multiply by 6/6.

45⋅6/6+5/6=50

Combine 45 and 6/6.

(45⋅6)/6+5/6=50

Combine the numerators over the common denominator.

(45(6+5))/6=50

Simplify the numerator.

275/6=50

Step-by-step explanation:

Answer: 20 liters

Step-by-step explanation:

Let the number of liters of 15% alcohol solution be \(x\).

\(0.15x+30(0.4)=0.3(x+30)\\\\0.15x+12=0.3x+9\\\\12=0.15x+9\\\\0.15x=3\\\\x=20\)

Answer:

The Domain are 3,-5,2,-3

Step-by-step explanation:

hope that helps

Answer:

The domain is (3, -5, 2, -3

Step-by-step explanation:

Plz give brainlyest

a) The median would be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean.

b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers.

a) The median is expected to be larger than the mean because the life expectancy of some countries may be much lower than the others, thus affecting the mean. The mean is calculated by adding all the values together and dividing by the number of values, and if there are any values that are much lower or higher than the rest, this will affect the mean significantly. The median, however, is the midpoint of the values, so outliers have less of an influence on it.

b) The median should be reported as it is a better measure of central tendency, as it is not affected by outliers. The median is the midpoint of the values, which means that if there are any values that are much lower or higher than the rest, it will not affect the median as much as it does the mean. This makes the median more accurate in representing the life expectancy of countries, as it is not skewed by outliers. Furthermore, the median is generally more reliable when dealing with skewed distributions, which is often the case with life expectancy data.

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Answer:

x=1

Step-by-step explanation:

4x+5=9

-5 -5

4x=4

4/4

=1

x=1

Answer:

x=1.......

Step-by-step explanation:

Your welcome

Answer:

The answer is number option 4

Answer:

5) a) x=55

Step-by-step explanation:

x=55

2x + 15 = 110 + 15

=125

A parametric equation for the line that is perpendicular to the graph of the equation 4x^2 + y^2 + 2z^2 = 25 at the point (2, 1, 2) can be given as r(t) = (2 + 4t)i + (1 + t)j + (2 + 2t)k.

To find a line perpendicular to the surface represented by the equation 4x^2 + y^2 + 2z^2 = 25, we need to determine the direction vector of the line. This direction vector should be orthogonal to the gradient vector of the surface equation at the given point (2, 1, 2).

The gradient vector of the surface equation is given by ∇(4x^2 + y^2 + 2z^2) = 8xi + 2yj + 4zk. Evaluating this gradient vector at the point (2, 1, 2) gives us the vector 16i + 2j + 8k.

To find a perpendicular direction vector, we can take the cross product between the gradient vector and any vector not parallel to it. Let's choose the vector i + j + k as the other vector. Taking the cross product, we get a perpendicular vector of -6i + 12j - 14k.

Finally, we can parameterize the line using the point (2, 1, 2) and the perpendicular vector, resulting in the parametric equation r(t) = (2 - 6t)i + (1 + 12t)j + (2 - 14t)k.

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ANSWER:

STEP-BY-STEP EXPLANATION:

According to the graph, the sum of these two angles is equal to 78°, therefore, the equation would be:

If we solve the value of x it would be:

Answer:

AB/CΔ=BC/ΔE   {similar triangles}

\(2/4=2/4\)

\(1/2=1/2\\\)

so numeric value= 1/2

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

hope it helps....

have a great day!!

Efficient part families grouping can be achieved through systematic analysis and automation, utilizing advanced algorithms and artificial intelligence to optimize production.

Methodical and efficient part families grouping:

Utilize advanced algorithms: Implement computer algorithms and data analysis techniques to automate the grouping process. These algorithms can efficiently analyze large amounts of data and identify similarities among parts.

Apply artificial intelligence (AI): Employ AI techniques, such as machine learning, to train models on historical data and generate accurate predictions for part families grouping. This can help reduce the reliance on manual analysis by trained personnel.

Optimize production parameters: Incorporate additional factors like production capacity, equipment availability, and scheduling constraints to optimize part families grouping. This can maximize production efficiency and minimize downtime.

Continuous improvement: Regularly update and refine the grouping process based on feedback and new data to enhance efficiency and adapt to evolving production requirements.

Principles of material handling - Work:

Efficiency: Design work processes that minimize unnecessary movements, reduce handling time, and optimize the sequence of operations. This can be achieved through proper layout planning and standardization of work methods.

Standardization: Establish standardized procedures and work instructions to ensure consistent and efficient handling of materials. This helps reduce errors, minimize training time, and improve overall productivity.

Workload balancing: Distribute work tasks evenly among workers to avoid excessive strain on any individual and maintain a smooth workflow. This can be achieved by analyzing workloads, considering individual capabilities, and adjusting assignments accordingly.

Principles of material handling - Ergonomics:

Worker safety and well-being: Design workstations and handling equipment that consider ergonomic principles to minimize the risk of injuries and promote the health and comfort of workers. This includes factors like proper equipment height, adjustable controls, and ergonomic tools.

Reduce physical stress: Implement ergonomic strategies such as using lifting aids, providing proper training on lifting techniques, and incorporating ergonomic principles into work processes to minimize physical strain on workers.

Human-machine interaction: Ensure that machinery and equipment are designed to accommodate human operators effectively.

This involves considering factors like reach distances, control placement, and feedback mechanisms to optimize the interaction between humans and machines, enhancing both productivity and worker comfort.

By adopting a systematic and automated approach to part families grouping and incorporating principles of work and ergonomics in material handling, production can be maximized while ensuring efficient and safe operations.

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Answer:

4a) ∠x = 28°

∠y = 104°

∠z = 104°

4b) I don't understand what the question is.

Step-by-step explanation:

∠x = 28° because it is alternate interior to 28°

∠QRP = ∠RQP because ΔPQR is an isosceles triangle

∠QRP = (180 - 28)/2 = 76°

y = 180 - 76 = 104°

∠z = ∠y because they are alternate exterior angles

∠z = 104°

Answer: 660,000 milligrams

Step-by-step explanation:

330 x 2 = 660

convert grams to milligrams by multiplying the mass by 1,000

Answer:

660,000

Step-by-step explanation:

hope this helps!

When a person is 3 feet from a street light, the length of the shadow grows at a rate of 4 feet per second.

See the figure that illustrates the in question statement, attached.

making use of the related triangle theorem;

4/y = 12/x+y

Cross multiply

4(x+y)=12y

4x+4y = 12y

4x=8y

x/y =2

x=2y

Divide the two sides of the equation by t, where dx/dt = 2 dy/dt. The speed at which the person is walking away from the street light is expressed as dx/dt 

The growth rate of the shadow's length is measured by the ratio dy/dt.

Given that dx/dt = 8ft/s

by solving,

dy/dt = 4 ft/s

Hence the rate at which the length of the shadow growing when the person is 3 feet from the street light is 4ft/s

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Answer:

The common difference would be calculated as:

(a21-a19)/2

(-164--(-58 ))/2 (Replacing the values )

(-164 +58)/2 (Changing signs)

(-106)/2(Subtracting)

-53

Then we are going to replace the common difference(d) in the sequence formal with the 21st term . It is done for finding the first term of the sequence.

a21=a0+d*(n-1)

-164=a0+-53*(21-1) (Replacing the values)

-164=a1-53(20) (Subtracting)

-164=a1-1060 (Multiplying )

-164+1060=a1 (Adding 1060 on both sides of the equation)

896=a1

The answer would be : an= 896-53*(n-1), which is the option B.

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