What does SSS triangle stand for?

Answer:

144

Step-by-step explanation:

i just did the test

Therefore, p = 0.33. Thus, the value of p is 0.33.

Given,

K(w) = 0.2 for w€ [0. p],

K(w) = 0.1 for w€ (p. p + 1],and

K(w) = -0.15 otherwise.

It is known that E(K) = 0

We need to find the value of p. Calculation of E(K)

E(K) = ∫₀^p (0.2)w dw + ∫ₚ^(p+1) (0.1)w dw + ∫_(p+1)^∞ (-0.15)w dw

E(K) = 0.1p² + 0.1p + (-0.15)(∞² - (p+1)²) - 0.2(0.5p²)

Since

E(K) = 0,0 = 0.1p² + 0.1p - 0.15(∞² - (p+1)²) - 0.1p²0.1p² - 0.1p² + 0.15(∞² - (p+1)²) = 0.1p

Simplifying the above equation

0.15(∞² - (p+1)²) = 0.1p2.25∞² - 2.25p² - 1.5p - 2.25 = 0

Multiplying by -4 to simplify the equation

9p² + 6p - 9∞² + 9 = 0

On solving, we get,

{-1 - (4*(-9)(-9² + 9))/2*9, -1 + (4*(-9)(-9² + 9))/2*9}{-16, 0.33}

Therefore, p = 0.33. Thus, the value of p is 0.33.

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The gardener used 40.5 gallons of gasoline in his lawn mowers in the one month.

Let's say the amount of gasoline used in the lawn mowers is x gallons.

Then, the rest of the gasoline (61.5 - x) would have been used for other purposes.

Since the total amount of gasoline used is 61.5 gallons, we can set up an equation:

x + (61.5 - x) = 61.5

Simplifying this equation, we get:

x + 61.5 - x = 61.5

Combining like terms, we get:

61.5 = 61.5

This equation is true, so we know that our assumption that x is the amount of gasoline used in the lawn mowers is correct.

Therefore, the gardener used x = 40.5 gallons of gasoline in his lawn mowers in the one month.

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Answer:

Step-by-step explanation:

The question is asking how many times does 50 go into 425?

or 450/50 = ?

my calculator says it's 9 .  What does your calculator say?

since we now know it's 9 times,   we can just multiply 9 * 10 minutes

by observation of 9*10,  I get the answer,  what answer do you get?

If segment BD is congruent to segment BC, and BD = 4x - 18, BC = x + 3, and AC = 34, then AB = 31/x.

Let the equation be AB + BC = AC

substitute the values in the above equation, we get

AB + x + 3 = 34

simplifying the value of x,

Subtract A B from both sides AB + x + 3 - AB = 34 - A B

x + 3 = 34 - AB

Subtract 3 from both sides,

x + 3 - 3 = 34 - AB - 3

x = -AB + 31

Plug in this value of x into the line segments to find BC and AC.

Where, BC = x + 3

substitute the value of x in the above equation, we get

BC = [-AB + 31 ] + 3

BC = -AB + 34

Then, AB + BC = AC

x = -AB + 31

AB = 31/x

Hence, If segment BD is congruent to segment BC, and BD = 4x - 18,

BC = x + 3, and AC = 34, then AB = 31/x.

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Answer:

f(x)=2x+1

Step-by-step explanation:

Hope you understand

the vertex of the function f(x) = 3x²- 6x - 1 is (1, -4).

A quadratic function is a type of mathematical function that has the form:

f(x) = ax² + bx + c

where x is the input or independent variable, f(x) is the output or dependent variable, and a, b, and c are constants, with a ≠ 0.

To find the vertex of the quadratic function f(x) = 3x² - 6x - 1, we can use the formula:

x = -b/2a,

y = f(-b/2a)

where "a" is the coefficient of the x^2 term, "b" is the coefficient of the x term, and "c" is the constant term.

In this case, a = 3, b = -6, and c = -1, so we have:

x = -(-6)/(2 x 3) = 1

To find the y-coordinate of the vertex, we can substitute x = 1 into the function and evaluate:

f(1) = 3(1)² - 6(1) - 1 = -4

Therefore, the vertex of the function f(x) = 3x² - 6x - 1 is (1, -4).

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The area ratio of the sampler measured using the split-spoon penetration sampler is found to be 15.26%.

dimensions of the sampler:

Thus,

area ratio of the sampler = (Do² - Di²)/Di² * 100%

                                         = (1.75² - 1.63²)/1.63² * 100%

                                         = (0.4056)*100 / 2.6569

                                         = 15.26%

Thus, area ratio of the sampler measured using the split-spoon penetration sampler is found to be 15.26%.

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Answer:

Step-by-step explanation:

10 grams

Given:

The equation is

Find-:

The value of "R."

Explanation-:

The "R" is

The value of "R" is 210000.

So, the expression is:

Answer:

-5

Step-by-step explanation:

formula of slope is

\( \frac{y2 - y1}{x2 - x1} \)

y2 is the second y value

y1 is the first y value so you get

\( \frac{6 - 11}{14 - 13} \)

that leaves you with -5 /1 which can be written as -5

-5

The slope is rise over run. In other words, it is the change in y divided by the change in x.

Slope Formula

The formula for slope is \(\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\). This will give the the difference in y-values divided by the difference in x-values. To find the slope, plug in the values.

Final Slope

The y-value decreases by 5 as the x-value increases by 1. This means that the slope must be -5/1. This can be rewritten as -5.

Answer:

Step-by-step explanation:

not sure 2

Answer:

Domain is x, Range is y

Step-by-step explanation:

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

Answer:235.5

Step-by-step explanation:

75 3/4= 75.75 (L). 81 1/4= 81.25 (W)

Perimeter= 314 3/4 of 314 is 235.5

The factor and levels in the scenario is,

Factor = dip flavor. Levels = strawberry, orange, and banana.

What is popsicles?

A frozen treat on a stick made of liquid is known as an ice pop. An ice pop is "quiescently" frozen, or frozen when at rest, and turns into a solid block of ice, unlike ice cream or sorbet, which are churned while freezing to prevent ice crystal formation. It is held by the stick, which serves as a handle.

There is only one factor (independent variable) involved in above case, i.e. dip flavor is only factor mentioned in given case.

We can see that dip flavor has three categories or levels, i.e. strawberry, orange, and banana

Therefore, we have

factor = dip flavor and levels = strawberry, orange, and banana.

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The given limit is: lim (x->0) (sin(9x) / x)

To estimate this limit, we can apply L'Hôpital's Rule since we have an indeterminate form (0/0 as x approaches 0). L'Hôpital's Rule states that if the limit of the ratio of the derivatives of the numerator and the denominator exists, then the limit of the original function exists and is equal to that value.

Taking the derivative of the numerator and the denominator with respect to x:

Numerator: d(sin(9x))/dx = 9cos(9x)
Denominator: d(x)/dx = 1

Now, we find the limit of the ratio of the derivatives:

lim (x->0) (9cos(9x) / 1)

As x approaches 0, cos(9x) approaches cos(0), which is 1. Therefore, the limit is:

lim (x->0) (9cos(9x) / 1) = 9(1) = 9

So, the limit exists and is equal to 9.

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The value of standard normal variable z is - 1.31 when z satisfies p( -z < z < z) = 0. 8788.

A normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution. The standard normal distribution is centered at zero, and the standard deviation indicates how much a measurement deviates from the mean.

p( -z < z < z) = 0. 8788

According to the standard normal distribution table

p( -z < z < z) = - 2.91 + 1.16

                  = - 1.31

Therefore the value of standard normal variable z is - 1.31

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Answer: Let's denote the original number of pages Mark planned to read as "P".

From the first statement, we know that P - 18 pages will take 5 more days, which means P pages will take 5 days less, or 5 - 5 = 0 days.

From the second statement, we know that P - 24 pages will take 8 more days, which means P pages will take 8 days less, or 8 - 8 = 0 days.

So, we have two equations:

P - 18 = 5 * X

P - 24 = 8 * Y

Where X and Y are the number of pages Mark reads per day.

Since X and Y are equal, we can substitute one of them for the other:

P - 18 = 5 * (P - 24) / 8

Expanding the right side and solving for P, we find that P = 288 pages.

Step-by-step explanation:

False. The null hypothesis does not inherently represent a presumed default state of nature but rather serves as a reference point for hypothesis testing.

The null hypothesis does not necessarily correspond to a presumed default state of nature. In hypothesis testing, the null hypothesis represents the assumption of no effect, no difference, or no relationship between variables. It is often formulated to reflect the status quo or a commonly accepted belief.

The alternative hypothesis, on the other hand, represents the researcher's claim or the possibility of an effect, difference, or relationship between variables. The null hypothesis is tested against the alternative hypothesis to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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Answer: 19,712

Step-by-step explanation: 2816 times 7 = 19712

Answer:

19,712

________________________________________________________

We learned the four steps to solving a multiplication problem, which can be helpful here, and in the future.

Ask me in the comments box.

The three stages that have to do with fluency, progression and automaticity are found in the Number Sense and Operations .

This is the part of mathematics that is known to teach the student basic ways to carry out number operations in mathematics. This has to do with representation of numbers as well as solving for the existing relationships in these numbers.

Having a sense of numbers is a very important ability skill that has to be developed early is students to enable them progress in the subject.

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volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

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Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

Answer:

Explained below.

Step-by-step explanation:

(A)

The p-value is well defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.

The p-value of the test was, p = 0.3822.

That is the probability that Remedy B has a greater salvage rate than A is 0.3822, given that rates are the same for Remedy A and B.

(B)

The significance level of the test is: α = 0.05.

A small p-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀. A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.

The p-value of the test is very large. The null hypothesis will not be rejected.

Concluding that salvage rates are the same for Remedy A and B.

(C)

A type II error is a statistical word used within the circumstance of hypothesis testing that defines the error that take place when one is unsuccessful to discard a null hypothesis that is truly false.

In this case a type II error could have been made as the null hypothesis was not rejected.

The type II error could have been made because of the following reasons:

As the sample selected is quite large, the only potential consequence of this error is that the significance level of the test must be small.

A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

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The best way to analyze their data for significance is to Conduct a two-way variable analysis.

As we can see, there is a 2x3 factorial design. Thus, we know that there will be a two level or two way analysis of variables, which is referred to as two way variables analysis. Factorial design is a research method that allows for the inquiry of a main and interaction effects of two or more independent variables on one or more outcome variables (s).

It has been argued that factorial designs represent the true beginning of modern behavioral research and have resulted in a significant paradigm shift in how social scientists conceptualize their research questions and produce objective results (Kerlinger & Lee, 2000).

Factorial design is an experimental methodology that goes beyond standard single-variable experimentation. Previously, social scientists were fixated on single independent variable experiments, foreshadowing the significance of extraneous variables that can attenuate or diminish research findings.

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The ordered pair of C'' after the sequence of transformation is (-14, -5)

Here we have know that  ABC can be plotted at A (-14, 14), B (-8, 11) & C (-14, 5).

Here we all know that the y-axis reflection rule is written as,

=> (x, y) → (-x, y)

And the value of x coordinate flips in sign from positive to negative, or vice versa. Then the value of y coordinate stays the same.

Then the point is look like C(-14,5) will then reflect based on the following rule,

=> (x, y) → (x, y)

The transformed coordinates are look like,

=> (-14,5) ((-14),5)

=> (-14,5)→ (14,5)

Therefore, here we have point C' located at (14,5) after applying the y-axis reflection rule on point C.

Now, the next operation to do is is the 180 degree rotation.

And this can be clockwise or counterclockwise.

Then the rotation rule is written as

=> (x, y) → (-x,y)

Now, for this time both coordinates flip in sign.

Here we have know that this rule only works if the center of rotation is the origin.

Now, let us apply that rotation rule to C' to find where C" is located.

Then the rule can be written as,  (x, y) → (-x,y)

=> (14,5)→ (-14, -5)

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The 5-hour growth/decay factor for the number of mg of caffeine in Bradley's body is 0.521

In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time. Exponential decay differs from linear decay in that the decay factor depends on a percentage of the initial sum, meaning that the amount by which the original sum may be lowered will fluctuate over time as opposed to a linear function, which reduces the original sum by the same amount each time.

Given,

10 hour decay factor = 0.2722

Let us calculate the one-hour decay factor first,

One-hour decay factor = (10 hour decay factor)^1/10 = (0.2722)^1/10 = 0.8779

Now, Calculating the 5-hour decay factor,

5 hour decay factor = ( 1 hour decay factor )^5 = (0.8779)^5 = 0.521

Hence, the 5-hour growth/decay factor for the number of mg of caffeine in Bradley's body is 0.521

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Answer:

B is the correct answer.

Step-by-step explanation:

Pi=3.14

So, 7+3.14=10.14

So yes, B is your correct answer.

Mark brainliest please!

Answer:

The point ( 0, 4) is located on the y - axis in between in first quadrant on cartesian plane. A Catesian plane is defined by two prependicular number lines, x - axis which is horizontal, and y - axis which horizantoal, and y - axis or which is vertical. The point where both prependicular number line intersect, called origin (0,0)