10 less than a number

Cumulative algorithm can only be used with primitive data types . True

The emphasis here is to understand the difference and uses of the cumulative algorithm and primitive data type.

The cumulative algorithm is defined as a sequential analysis method which is used to monitor changes in data

Primitive data type is used to predefine operations of a programming language.

The relationship between the two is that both of them are used to organize data in the memory

In conclusion, Cumulative algorithm can only be used with primitive data types

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Calculating the cost of 4.25 kilogram(kg) is £2.38, by multiplying it by 4.25 kg by 1 kg.

Costs are the expenses incurred in the manufacture, marketing, or preparation of a good or asset for regular use. In other terms, it's the cost incurred to produce a good, buy inventories, sell goods, or prepare equipment for use in a commercial activity.

Given,

2.5 kg cost  £1.40 i.e,

2.5 kg = £1.40

For 1 kg= [tex]\frac{1.40}{2.5}[/tex]

= £0.56

To find the cost of 4.25 kg:

Then,

1 kg = £0.56

4.25 kg = 0.56 x 4.25

= £2.38

£2.38 is the cost of 4.25kg after calculating it.

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On solving the provided question, we can say that the root of the equation [tex](x^2 - 10x+21)(x+7)=0[/tex]are x= -7,+7,3

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0. Given that it is a second-order polynomial equation, the algebraic basic theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

Set the denominator to 0

[tex](x^2 - 10x+21)(x+7)=0\\(x^2-7x-3x+21)(x+7)=0\\(x(x-7)-3(x-7))(x+7)=0\\(x-7)(x+7)(x-3)=0\\ (x-3)(x^2 - 7^2)=0\\x= -7,+7,3[/tex]

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The equation 7.50h + 50/4h = 18h + 33 which represent a possible constraint about a situation gives the value of h as 16.5

7.50h + 50/4h = 18h + 33

Collect like terms

7.50h + 50/4h - 18h = 33

7.50h + 12.5h - 18h = 33

2h = 33

divide both sides by 2

h = 33/2

h = 16.5

In conclusion, the value of h from the given equation is 16.5

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Answer:

bro fr has the nicest notes not just for the points but like actually

The value of test statistics  as calculated from the given data is 0.092.

p = 1 - P(Z < Z')

Z' = (8200-8000)/ (1500/√100)

Z'= 1.3

p = 1 - P(Z < Z')

= 1 - P(Z < 1.3)

= 1 - 0.908

= 0.092

The Z-score, also known as the standard score, indicates how far a data point deviates from the mean. It represents the number of standard deviations an element has from the mean. As a result, the Z-Score is expressed in terms of standard deviation from the mean.

A z score is a statistical measurement that indicates how far a raw score deviates from the mean of a distribution. A z score is used in a z test to test hypotheses. It is also used in prediction intervals to calculate the likelihood of a random variable falling between two values.

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The image after the sequence of transformations is (30, -14)

We start with the point (9, 4), first we need to translate it up 3 units, then right 6 units, dilate it by a scale factor of 2, and finally reflect it across the x-axis.

Let's write all these transformations in a general way and then let's apply them.

For a general point (x, y)

A vertical translation up of 3 units gives: (x, y + 3)

A horizontal translation of 6 units to the right gives: (x + 6, y)

A dilation of scale factor 2 gives: (2x, 2y)

A reflection across the x-axis gives: (x, -y)

Then if we apply all that to our point (9, 4) we will get:

A vertical translation up of 3 units gives: (9, 4 + 3) = (9, 7)

A horizontal translation of 6 units to the right gives: (9 + 6, 7) = (15, 7)

A dilation of scale factor 2 gives: (2*15, 2*7) = (30, 14)

A reflection across the x-axis gives: (30, -14)

That is the image after the sequence of transformations.

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Answer: x=2

Step-by-step explanation:

Area of square = s^2

So we know that (2x+3)^2 = 49

We get rid of the square root first

2x + 3 = 7

2x = 4

x = 2

Answer: An ISOSCELES triangle.

Step-by-step explanation:

It has two sides of equal length.

The angles opposite to the equal sides are also equal in measure.

On solving the provided question we got to say that - 500 meters long, and 250 meter wide

Differentiation is the rate at which a function changes with regard to a variable in mathematics (in mathematics, the rate of change of a function with respect to a variable). Problems involving calculus and differential equations need the use of derivatives.

125000 square meters  of area = l X w is =  length times width

[tex]l=125000/w[/tex]

Fencing =[tex]Perimeter = P = L+2W= 125000/W +2W[/tex]

Now,

derivative set = 0

P'(X) =  2 -125000/W^2 = 0

           [tex]2W^2 = 125000\\ W^2 = 62500\\ W = 250meters wide[/tex]

          [tex]L =125000/250= 500 meters long, the side parallel to the river[/tex]

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Answer:

2 13/50

Step-by-step explanation:

gogle

On solving the expression 2 + (4/5) - (3/20), we get 53/20.

Given is the expression -

2 + (4/5) - (3/20)

The given expression is -

2 + (4/5) - (3/20)

Now, solving further, we get -

2 + (4/5) - (3/20)

2 + 4/5 - 3/20

(40 + 16 - 3)/20

53/20

Therefore, the given expression 2 + (4/5) - (3/20) is equivalent to 53/20.

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The interest that will the customer earn in 10 years is $385.

What is simple interest?

Simple interest is a method for figuring out how much interest was paid on a sum of money during a specific time period at a specific rate.

Simple interest has a constant principal amount. Simple interest is a straightforward and easy technique for calculating interest in money. Interest is always applied to the initial principal amount under the simple interest method, and the rate of interest is the same for each time cycle. When we deposit money in a bank, the bank pays us interest on our investment. Banks charge various sorts of interest, one of which is simple interest.

The customer deposit $3500 when he opens the account.

The interest rate of the bank is 1.1% = 0.011.

He deposits the amount for 10 years.

The formula of simple interest is I = PRT.

I = 3500 × 0.011 × 10

I = 385

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Answer:

All real numbers  are solutions

Step-by-step explanation:

Open the bracket

4(2x+3)=2(4x+6)

8x +12=8x +12

8X-8X=12- 12

=0

The equation is an identity hence, all real numbers are solutions(1,2,3,4 etc)

Classification model

What is Classification model?

A subset of supervised machine learning is classification models. A categorization model takes in some input and produces an output that categorises the input. For instance, after reading an email, a model may binary identify it as spam or not.

This is a classification model. This is a categorization model because we are categorising people here according to their age and location.

A categorization model takes in some input and produces an output that categorises the input.

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The amount of the pizza did Cassie eat on Saturday will be 5/9 of pizza.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

On Friday night, Cassie ate a pizza for dinner and had 5/6 of the pizza left over.

And, On Saturday, she ate 1/3 of what was left.

Now,

Since, On Saturday, she ate 1/3 of what was left.

Hence, The amount of the pizza did Cassie eat on Saturday is;

⇒ 5/6 - 1/3 of 5/6

⇒ 5/6 - 1/3 × 5/6

⇒ 5/6 - 5/18

⇒ 15/18 - 5/18

⇒ 10/18

⇒ 5/9

Thus, The amount of the pizza did Cassie eat on Saturday will be 5/9 of pizza.

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The best option for Janet will be to open an educational account.

The basic structure of student bank accounts is frequently the same as that of the institution's standard offerings, with adjustments made for students' typically lower amounts.

These organisations may remove maintenance fees or minimum balance requirements, provide free ATM withdrawals, offer budgeting apps or programmes, or even waive fees altogether because students are still learning how to manage their finances and navigate their daily financial lives.

Some benefits of educational account is

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Therefore by solving the question from the equation we get ,total money he has now is $(m+100)/2

equation, a declaration of equivalence between two expressions with variable- and/or number-filled expressions. In essence, equations are questions, and efforts to discover a method for answering them have fueled the growth of mathematics. Equations range in complexity from straightforward addition-and-multiplication equations in mathematics through differential equations, exponential equations that use exponential expressions, and integral equations.

Here,

He got $m for his birthday

therefore he spent half the money the money left =m/2

and he got extra $50

Thus

total money he has now is = m/2 +50

or m+100/2

Therefore ,total money he has now is $(m+100)/2

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Answer:

= 3/32

Step-by-step explanation:

What is 11/32 - 2/8?

11/32 - 8/32 = 3/32

The hot air balloon travels 40 miles against the wind in the same amount of time that it travels 200 miles with the wind. Therefore, the rate of the hot air balloon against the wind is 40 miles/200 miles x 20 mph = 8 mph.

1. Calculate the ratio of the distance traveled against the wind compared to the distance traveled with the wind: 40 miles/200 miles = 0.2

2. Multiply the ratio by the speed of the wind: 0.2 x 20 mph = 4 mph

3. The speed of the hot air balloon against the wind is 8 mph.

The hot air balloon is able to travel at a speed of 20 mph when the wind is in its favor. However, when the wind is not in its favor, the hot air balloon must travel against the wind, drastically decreasing its speed. In the same amount of time, the hot air balloon was able to travel 40 miles against the wind while it was able to travel 200 miles with the wind. To calculate the speed of the hot air balloon against the wind, we can use the following formula: Speed = (Distance against the wind/Distance with the wind) x Speed of the wind. In this case, the ratio of the distance traveled against the wind compared to the distance traveled with the wind is 40 miles/200 miles = 0.2. When we multiply this ratio by the speed of the wind, which is 20 mph, we get 4 mph. Therefore, the rate of the hot air balloon against the wind is 8 mph.

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The solutions of the equation x² +3x - 4=0 are x=1 and x= -4 .

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Given equation:

x² +3x - 4=0

Standard form of a quadratic equation:

ax² +bx+c=0

On comparing, a=1, b= 3, c= -4

Quadratic formula:

x = [ -b ± √(b² - 4ac ) ] /(2a)

Substitute the values

x = [ -3 ± √(3² - 4*1*(-4) ) ] /(2*1)

x= [ -3 ± √(9 + 16 ) ] /(2)

On simplifying,

x=1 and x= -4

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Answer:

2/3

Step-by-step explanation:

4/3 or 1 1/2 divided by 2 is equal to 2/3

The number of ounces of water that would be wasted in one day is 12.173 ounces.

An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 40% are girls, and 14% are boys. The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.

Given,

The faucet drips per every minute.

1 min -------1/4 ml

for 60 min -----?

x=(1/4)×60

x=15 ml

For one day,

15 ml×24 hours=360 ml

Therefore, 360 ml=12.173 ounces.

Hence, the number of ounces of water that would be wasted in one day is 12.173 ounces.

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A 95% confidence interval for percent of american adults who believe in aliens:  (0.6578, 0.7822)

In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens

We need to find the 95% confidence interval for percent of american adults who believe in aliens.

95% confidence interval = (p ± z√[p(1 - p)/n])

Here, n = 200

p = 72%

p = 0.72

And the z-score for 95% confidence interval is 1.960

The upper limit of interval would be,

(p + z√[p(1 - p)/n])

= 0.72 + 1.960 √[0.72(1 - 0.72)/200]

= 0.72 + 1.960 √[(0.72 * 0.28)/200]

= 0.72 + 1.960 √0.001008

= 0.72 + 0.0622

= 0.7822

The lower limit of interval would be,

(p - z√[p(1 - p)/n])

= 0.72 - 1.960 √[0.72(1 - 0.72)/200]

= 0.72 - 1.960 √[(0.72 * 0.28)/200]

= 0.72 - 1.960 √0.001008

= 0.72 - 0.0622

= 0.6578

Therefore, a 95% confidence interval = (0.6578, 0.7822)

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Permutation test is used to synthesize the population distribution of the statistic of interest for hypothesis testing of mean, median, and quartiles

An estimation of the population distribution—the distribution from which our observations originated—is the goal of a permutation test. We can then calculate how uncommon our observed values are in comparison to the population.

I find the permutation test to be more natural, and it only relies on the assumption of random assignment of treatment groups.

In a permutation test, you compare the observed test statistic to the distribution of values

you get when the treatment group assignments are shuffled/randomized/permuted.

The null hypothesis that two distinct groups originate from the same distribution is tested using permutation tests, also known as exact tests, randomization tests, or re-randomization tests. A permutation test can be used for hypothesis testing or significance testing (including A/B testing) without requiring any presumptions to be made about the distribution of the samples, such as that the samples must be normally distributed.

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Using the standard deviation value of these interarrival times, the coefficient of variation is 0.012.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

The standard deviation to mean ratio, or coefficient of variation (CV), illustrates the degree of variability in proportion to the population mean. The dispersion increases with increasing CV.

Formula is given by:

[tex]CV = \frac {\sigma}{\mu}[/tex]

[tex]\sigma = 0.02[/tex]

Mean for the time of 0.02 sec is = 79 * 0.02

=1.58

CV= 0.02/1.58

=0.012

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Using PEDMAS to simplify the expression, the result is -830t² + 164t + 5798.4

To solve this problem, we have to simplify the expression. This is a process of breaking it down from a complex form to the least possible form. In doing this, we often apply mathematical operations such as multiplication, addition, subtraction etc.

In the expression 362.4 * 16 - 2t + 83t * (2 - 10t)

Let's apply PEDMAS here

362.4 * 16 = 5798.4

83t (2 - 10t) = 166t - 830t²

We can bring them together now;

5798.4 - 2t + 166t - 830t²

Collecting like terms

-830t² + 164t + 5798.4

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The standard error of the estimate is like a standard deviation for all error scores in a regression.

The standard deviation of the sample distribution is referred to as the standard error in statistics. In most cases, the sample mean of a data set differs from the actual population mean. SE is used to denote it. It is used to gauge how well a sample of a population represents that population.

The measure of the sample mean of the population is expressed as the standard deviation of the measure of the standard error of the mean, also known as the standard deviation of the mean. It is referred to as SEM. For instance, the sample mean typically serves as an estimator of the population mean. However, if we take yet another sample from the same population, it can yield a different result.

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Answer:

Sum of G.P. series is given by,

Sum=

r−1

a(r

n

−1)

when r>1

Where a= first term, n=n

th

term and r is common ratio.

Here, a=1,n=10,r=

3

S

10

=

(

3

−1)

1×{(

3

)

10

−1}

=

(

3

−1)

(3

5

−1)

×

(

3

+1)

(

3

+1)

=

(3−1)

242(

3

+1)

=121(

3

+1).

Answer:

7x/4 = 66

(7/4)x = 66

x = 66 × (4/7)

x = 264/7

in decimal x = 37.714(apprx.)