The area of cross section of the large piston in a hydraulic machine is 1m² and that of small piston is 0.5m².calculate the force that must be applied on the small piston to lift a load of 1000N on the large piston

Answer:

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

Step-by-step explanation:

Answer:

A. x > 23

Step-by-step explanation:

Isolate the variable, x. Treat the > sign like an equal sign, in that what you do to one side, you do to the other. Add 3 to both sides of the equation:

\(x - 3 > 20\\x - 3(+3) > 20 (+3)\\x > 20 + 3\\x > 23\)

\(A) x > 23\) is your answer.

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Answer:

x + y = 22

3x + 5 = 35

3x = 30, so x = 10 and y = 12.

Answer:

7/8

Step-by-step explanation:

\(\frac{7}{8}=0.875\)

By using the concept of Permutation and Combination, Counting Principle  Phyllis can make 168 ways to select students.

Permutation and Combination are about making arrangements and making selections on the basis of certain formulas

The re-arranging of any given sorted/ordered set is called a permutation. The “permutation” word actually tells us that change the linear order of the ordered set.

Selecting items from a large collection without taking any care about their order is called combinations.

We need to select one freshman out of 12 freshmen. So selecting r things from n things we can do selection in nr ways, so we can do a selection of freshmen in 12c1 ways

Similarly, we need to select one sophomore out of 14 sophomores, so we can do a selection of sophomores in 14c1 ways

We know that ncr is equivalent to \(\frac{n!}{r!(n-r)!}\)

So, using this concept total number of ways to select a student

= ((12c1)×(14c1))

=12×14

=168 ways

Hence Phyllis can select students in 168 ways

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Answer:

= 5

Step-by-step explanation:

Add 3 to both sides of the equation 4 − 3 = 2 + 7 4x-3=2x+7 4x−3=2x+7 4 − 3 + 3 = 2 + 7 + 3

Simplify Add the numbers Add the numbers 4 = 2 + 1 0

Subtract 2 2x 2x from both sides of the equation 4 = 2 + 1 0 4x=2x+10 4x=2x+10 4 − 2 = 2 + 1 0 − 2

Simplify Combine like terms Combine like terms 2 = 1 0

Divide both sides of the equation by the same term 2 = 1 0 2x=10 2x=10 2 2 = 1 0

Simplify Cancel terms that are in both the numerator and denominator Divide the numbers = 5

Solution x=5

Answer:

y=2x+b

0=2×1+b

-2=b

y=2x-2

Answer:

y=20x+14, where:

y is the total amount you would pay for using the sailboat

x is the number of hours the sailboat is used

Step-by-step explanation:

An equation in slope-intercept form is set up as y=mx+b. From the information provided, the equation would indicate that the cost of renting the boat would be equal to the price per hour for the number of hours plus the cost of lifejackets and the equation in slope-intercept form that can be used is:

y=20x+14, where:

y is the total amount you would pay for using the sailboat

x is the number of hours the sailboat is used

The compared to mothers who gave birth for the first time at the age of under 30 to determine the incidence of breast cancer.

The study design used for this investigation of the association between age at first birth and breast cancer is Cohort Study.What is a cohort study?A cohort study is an analytical research approach in which a group of people with a shared trait or experience are followed over time. Cohort studies are used to determine the incidence of a disease, changes in morbidity and mortality rates, and to recognize risk factors for a disease. In this study of breast cancer, the mothers who gave birth for the first time at the age of 30 or older were considered exposed, and they were compared to mothers who gave birth for the first time at the age of under 30 to determine the incidence of breast cancer.

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The van contains 12 students and the bus contain 33 students.

The given information is:

The senior class at the high school rented and filled 14 vans and 11 buses with 531 students.

For this, we have to convert it into an equation:

14v+11b=531---------(1)

A High school b rented and filled 7 vans and 7 buses with 315 students.

For this, we have to convert it into an equation:

7v+7b=315----------(2)

To, find the number of students in the van and bus we have to solve two equations :

14v+11b=531

7v+7b=315*2

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

14v+11b=531

14v+14b=630

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

        -3b=-99

           b=33

The total number of students on the bus is 33 members.

Now substitute the b value in any equation, and substitute in equation(2) we get the v value:

7v+7(33)=315

7v+231=315

7v=84

v=12

The total number of students in the van is 12 members.

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Answer:

Y=6+5/12

Step-by-step explanation:

Move all terms containing "Y" to the right

Get rid of parenthesis and multiply all terms by the denominator

Add all numbers together and all the variables, then multiply

-12Y= -77

Y= -77/-12

Y= 6+5/12

The correlation coefficient (Pearson's product-moment coefficient) for the given patient data is calculated to determine the relationship between patient age and BMI. The decision regarding the null hypothesis will be based on the magnitude and direction of the correlation coefficient.

To calculate the correlation coefficient (r), we use Pearson's product-moment coefficient of correlation. The correlation coefficient measures the strength and direction of the linear relationship between two variables.

After calculating the correlation coefficient using the given patient data for age and BMI, we find that the correlation coefficient is -0.64. This value indicates a moderate negative correlation between patient age and BMI.

To make a decision about the null hypothesis, we need to assess the significance of the correlation coefficient. This is typically done by conducting a hypothesis test. The null hypothesis (H0) assumes that there is no correlation between the variables in the population.

The decision to reject or accept the null hypothesis depends on the significance level (α) chosen. If the p-value associated with the correlation coefficient is less than α, we reject the null hypothesis and conclude that there is a significant correlation. Conversely, if the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is no significant correlation.

However, the p-value is not provided in the given information, so we cannot determine whether to accept or reject the null hypothesis without additional information.

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Answer:

The answer is 5/8

Step-by-step explanation:

The given expression, \(\(350y \cdot C \cdot \cos(u)\)\), involves variables \(\(y\), \(C\)\), and \(\(u\)\) and their respective operations and functions.

The expression \(\(350y \cdot C \cdot \cos(u)\)\) represents a mathematical equation involving multiplication and the cosine function. Let's break down each component:

1. \(\(350y\)\) represents the product of the constant value 350 and the variable \(y\).

2. \(\(C\)\) is a separate variable that is being multiplied by \(\(350y\)\).

3. \(\(\cos(u)\)\) represents the cosine of the variable \(\(u\)\).

The overall expression represents the product of these three terms: \(\(350y \cdot C \cdot \cos(u)\)\).

To evaluate this expression or derive any specific meaning from it, the values of the variables \(\(y\), \(C\)\), and \(\(u\)\) need to be known or assigned. Without specific values or context, it is not possible to provide a numerical or simplified result for the given expression.

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Answer:

108 pens

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of the cube = s^3

s = 9cm

V = 9 * 9 * 9

V = 729 cm^3

d = mass / volume

d = 3645 / 729

d = 5 grams / cm^3

Answer:

sorry for point

plz

plz

plz

plz

Answer:

Hello,

Answer: a=-3

Step-by-step explanation:

\(-4a-2a-7=11\\\\\Longleftrightarrow\ -6a-7=11\\\\\Longleftrightarrow\ 6a=-7-11\\\\\Longleftrightarrow\ 6a=-18\\\\\Longleftrightarrow\ a=-3\\\)

Answer:

Arre tum idhar sab India ke baare mai kyu puch rahe the ?¿

Step-by-step explanation:

Comment here

Answer:

Step-by-step explanation:

f(x)=5x²+6

it is an upward parabola with vertex at (0,6)

The probability of obtaining tails and the number 5 is 1/12

the probability of obtaining an even number is 1/2

P(heads and prime number)  1/4

Since the events are independent, the probability of obtaining tails and the number 5 is:

P(tails and 5) = P(tails) * P(5) = (1/2) * (1/6) = 1/12

The coin toss outcome is irrelevant, so the probability of obtaining an even number is:

P(even number) = 1/2

The probability of obtaining heads and a prime number is:

P(heads and prime number) = P(heads) * P(prime number) = (1/2) * (1/2) = 1/4

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The standard deviation of a probability distribution must be a non-negative value. It represents the measure of the dispersion or spread of the data in the distribution. The standard deviation quantifies how much the values in the distribution deviate from the mean.

Mathematically, the standard deviation (σ) is calculated as the square root of the variance (σ^2) of the probability distribution. The variance is obtained by calculating the average of the squared differences between each data point and the mean, weighted by their respective probabilities.

The standard deviation provides important information about the shape and characteristics of the distribution. A smaller standard deviation indicates that the data points are closer to the mean, resulting in a more concentrated or less dispersed distribution. Conversely, a larger standard deviation indicates that the data points are more spread out from the mean, resulting in a wider or more dispersed distribution.

The standard deviation of a probability distribution must be a non-negative value and is a measure of the dispersion or spread of the data in the distribution.

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Radicals can be written as exponential expression as following:

\(\sqrt{3} = 3^{\frac{1}{2}}\)

\(\sqrt[3]{2} = 2^{\frac{1}{3} }\)

\(\sqrt[4]{3} = 3^{\frac{1}{4}}\)

\(\sqrt[5]{2} = 2^{\frac{1}{5} }\)

The radical of a number is the same as the root of a number. The root can be a square root, cube root, or in general, nth root.

\(\sqrt[n]{x} = x^{\frac{1}{n} }\)

Given radicals,

\(\sqrt{3} = 3^{\frac{1}{2}}\)

\(\sqrt[3]{2} = 2^{\frac{1}{3} }\)

\(\sqrt[4]{3} = 3^{\frac{1}{4}}\)

\(\sqrt[5]{2} = 2^{\frac{1}{5} }\)

Hence, Exponential expression for the given radicals are \(3^{\frac{1}{2} }, 2^{\frac{1}{3} }, 3^{\frac{1}{4} }, 2^{\frac{1}{5} }\) .

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Answer:

The equation of the straight line passing through the point ( 3,1 )

                      \(\frac{x}{2} + \frac{y}{-2} = 1\)

Step-by-step explanation:

Step(i):-

The equation of the straight line passing through the point ( 3,1 )

                      \(\frac{x}{a} + \frac{y}{b} = 1\)

                     \(\frac{3}{a} + \frac{1}{b} = 1\)

                    3b + a = ab ...(i)

Given the difference of length is  4

                      a-b = 4

                       b =  a - 4 ...(ii)

Step(ii):-

substitute b=a-4 in equation (i) , we get

                3( a-4 ) + a = a (a-4)

               3a - 12+ a =  - 4 a + a²  

                 a² - 8 a + 12 =0

Find the factors of 'a'

                 a² - 6a -2a +12 =0

                a (a-6) -2(a-6) =0

             a =2 and a=6

                  we know that a-b =4

             put       a = 2

                          2 - b =4

                            b = -2

The equation of the straight line whose intercepts on the axes

                    \(\frac{x}{a} + \frac{y}{b} = 1\)

                   \(\frac{x}{2} + \frac{y}{-2} = 1\)

The equation of the straight line

                      \(\frac{x}{2} + \frac{y}{-2} = 1\)

Verification:-

The equation of the straight line passing through the point (3,1)

                      \(\frac{x}{2} + \frac{y}{-2} = 1\)

Put x =3 and y=1

                  \(\frac{3}{2} + \frac{1}{-2} = 1\\\frac{2}{2} =1\\\)

                 1 = 1

∴  The point (3,1) is satisfies the equation

Answer:

Since, the given solution is (2, 14). Therefore, 7x−y=0. Similarly, another equation can be−x+y=−2+14=12. Similarly, another equation can be−2x−y=−2(2)−14=18.

Answer:

$72.60

Step-by-step explanation:

Answer:

            4

9           9

14           14

19             19

Step-by-step explanation:

The number of trains that arrived Dubai metro station on time is; 272 trains.

This means, the percentage that got there on time is;

100% - % of trains that got there late.

100% - 15% = 85%

85% × 320 = 272

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Answer:

m∠O=67

Step-by-step explanation:

m∠O=180-m∠R-the other angle since it is not given we can assume that the other angle is the same as m∠O so you divide 134 by 2 to get 67 therefore m∠O=67

Answer:

B would be 10

Step-by-step explanation:

so if B is 10 then A is 12 And C is 5 when added together they all equal 27

Answer:

b=10 years old

Step-by-step explanation:

a=2x+2

b=2x

c=x

2x+2+2x+x=27

5x+2=27

5x=25

x=5

b=2x   (2*5)=10