82880 move the decimal point 4 places to the right plz

Answer:

the simplest form of 15/20 is 3/4

Since the first child is a boy, this means we need to find the probability of another boy. This is 1/2 since we assume each gender has the same chance of happening.

Answer:

400 student

55/100 * x(unknown) = 220

55x/100 =220

CROSS MULTIPLY

55X = 22000

X = 22000/55

X = 400

The total number of students at the King School is 440.

Given that, at the King School, 55% of the students take a bus to school.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of students be x

So, 55% of x =220

⇒ 55/10 ×x=220

⇒ 0.55x=220

⇒ x=220/0.55

⇒ x=440

Therefore, the total number of students at the King School is 440.

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Answer:

81

Step-by-step explanation:

63×135=8505

8505÷105=81#

In 63 pounds, there are equivalent 81 dollars.

A unit conversion expresses the same property as a different unit of measurement.

For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

Given is that -

1 pound = Rs.135

1 dollar = Rs. 105

Now, we can write that 1 rupee as -

Rs. 1 = 1/105 dollar

So, in 1 pound we can write -

1 pound = 135 x 1/105 dollars

63 pounds = 63 x 135 x 1/105 = 81 dollars

Therefore, in 63 pounds, there are equivalent 81 dollars.

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The Department of Energy was also eager to sign on, in part because it wanted to learn about how radiation causes genetic mutations.

An modification in the nucleic acid sequence of an organism's, virus's, or extrachromosomal DNA is referred to as a mutation. DNA or RNA can be found in the viral genome.

Any alteration to a cell's DNA sequence. Mistakes in cell division can result in mutations, as can exposure to environmental DNA-damaging substances.

Ionizing radiation may harm genetic material (mutations) in gonads or germ cells, which can result in disorders with a genetic component (hereditary defects). Malformations, metabolic issues, immune system deficits, etc. might occur from them.

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The vector as a linear combination of standard unit vectors i and j is,

⇒ - i + 7j

We have to given that;

The initial and terminal points of RS are given below,

⇒ R(11, -4) and S(10, 3)

Hence, We can write as;

R = 11i - 4j

S = 10i + 3j

Hence, The vector as a linear combination of standard unit vectors i and j is,

⇒ RS = S - R

         = (10i + 3j) - (11i - 4j)

         = - i + 7j

Thus, The vector as a linear combination of standard unit vectors i and j is,

⇒ - i + 7j

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\(an - am| ≤ |an - an+1| + |an+1 - an+2| +...+ |am-1 - am| < ε/2 + ε/2 +...+ ε/2= m-n+1\)times \(ε/2≤ ε(m-n+1)/2\),  which shows that (an)neN is a Cauchy sequence.

A Cauchy sequence is a sequence whose terms become arbitrarily close together as the sequence progresses.

It is a sequence of numbers such that the difference between the terms eventually approaches zero.

In other words, for any positive real number ε, there exists a natural number N such that if m,n ≥ N then the difference between In and Im is less than ε.

(i) Let (In)neN be a Cauchy sequence with a subsequence (Pm)neN satisfying limkom = 2, show that lim.In = a.

As the sequence (In) is Cauchy, let ε > 0 be given.

Choose N such that |In - Im| < ε/2 for all m, n > N.

Since the sequence (Pm) is a subsequence of (In), there exists some natural number M such that Pm = In for some m > N.

Now, choose k > M such that |Pk - 2| < ε/2.

Then, for all n > N, we have|In - a| ≤ |In - Pk| + |Pk - 2| + |2 - a|< ε/2 + ε/2 + ε/2= ε, which shows that lim.In = a.

(ii) Use the definition to prove that the sequence (an)neN defined by an is a Cauchy sequence.

Let ε > 0 be given.

Then there exists some natural number N such that |an - am| < ε/2 for all m, n > N, since (an)neN is Cauchy.

The solutions of the inequality \(2x^{2} + x - 6 = 0\) are 3/2, -2. This can be found by using the Quadratic Formula, which states that for any quadratic equation of the form \(ax^{2} +bx + c = 0\), the solutions are \(x = -b +/-\sqrt{b^{2} -4ac} /2a\).

Discriminant: b² - 4 a c = 1 - 4(2)(-6) = 1 + 48 = 49

Solution 1: x = \(-b + \sqrt{b^{2} -4ac} /2a\) = (-1 + √49)/(2×2) = (-1 +7)/4 = 6/4 = 3/2

Solution 2: x = \(-b-\sqrt{b^{2} -4ac} /2a\)= (-1 - √49)/(2×2) = -8/4 = -2

So, the two solutions are 3/2 and -2.

The equation can also be written as,

\(2x^{2} +4x -3x-6=0\)

\(2x(x+2) -3(x+2) = 0\)

\((2x-3)(x+2) = 0\)

x = 3/2, -2

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Answer:

If a debtor wasn't able to pay his/her debt off they would be forced to become an indentured servant and work there debt off.

For English Catholics, who were discriminated at the time. They settled in the colony of Maryland to escape persecution under the hands of Anglicans.

Answer:

New members pay each month = $18 per month

Step-by-step explanation:

Given:

Total rental membership = $231

Advance registration fee = $15

Find:

New members pay each month

Computation:

Number of month in year = 12

Fee after registration = $231 - 15$

Fee after registration = $216

New members pay each month = Fee after registration / Number of month in year

New members pay each month = 216 / 12

New members pay each month = $18 per month

Answer:

Step-by-step explanation:

UR MOM

Answer:

24/35 or 0.6857142

Step-by-step explanation:

Answer:

\( \frac{24}{35} \)

alternative form:

\( 0.685714286 \)

Step-by-step explanation:

\(1 \frac{1}{7} \times \frac{3}{5} \\ multiply \: 1 \: and \: 7 \\ \\ \frac{7 + 1}{7} \times ( \frac{3}{5} ) \\ add \: 7 \: to \: 1 \\ \\ \frac{8}{7} \times ( \frac{3}{5} ) \\ remove \: parenthesis \: and \: put \\numerator \: times \: numerator \: and \\ denominator \: times \: denominator \\ \\ \frac{8 \times 3}{7 \times 5} \\ do \: the \: multiplications \\ \\ \frac{24}{35} \)

the decision is to `Reject the null hypothesis`.d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that?The probability of Type I error is α. Since α = 0.025 (given in (b)), the type of error made is Type I error. Hence, the correct option is `Type I` error.

Calculate the value of the test statistic, rounded to 2 decimal places. `z = ___`The formula to calculate the test statistic z-score is:z = (X - μ) / (σ / sqrt(n))whereX = Sample mean, μ = Population mean, σ = Population standard deviation, and n = Sample sizeSo, the value of z-test statistic,z = (X - μ) / (σ / sqrt(n))= (30.6 - 32.4) / (3.99 / sqrt(32))= -3.60Therefore, the value of the test statistic, rounded to 2 decimal places is `z = -3.60`.b) At α=0.025,

the rejection region is`z > 1.96` or `z < -1.96`Let us calculate the value of z-score. Here, `z = -3.60` which is less than `-1.96`.Hence, the rejection region is `z < -1.96`.c)

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To sketch the direction field for the given ODEs in MATLAB, we can use the `quiver` function. Here's the MATLAB code for each ODE:

(b) u'(t) = (u^2)(t) + t + 1:

```matlab

% Define the range

t = linspace(-2, 2, 20);

u = linspace(-2, 2, 20);

% Create a meshgrid for t and u

[T, U] = meshgrid(t, u);

% Calculate the derivatives

dudt = U.^2 + T + 1;

dvdt = ones(size(dudt));

% Normalize the derivatives

norm = sqrt(dudt.^2 + dvdt.^2);

dudt = dudt./norm;

dvdt = dvdt./norm;

% Plot the direction field

quiver(T, U, dudt, dvdt);

axis tight;

xlabel('t');

ylabel('u');

```

(e) u'(t) = u(t)(u(t) - 3):

```matlab

% Define the range

t = linspace(-2, 5, 20);

u = linspace(-2, 5, 20);

% Create a meshgrid for t and u

[T, U] = meshgrid(t, u);

% Calculate the derivatives

dudt = U.*(U - 3);

dvdt = ones(size(dudt));

% Normalize the derivatives

norm = sqrt(dudt.^2 + dvdt.^2);

dudt = dudt./norm;

dvdt = dvdt./norm;

% Plot the direction field

quiver(T, U, dudt, dvdt);

axis tight;

xlabel('t');

ylabel('u');

```

(g) u'(t) = tsin(u) - (t^2)/4:

```matlab

% Define the range

t = linspace(-2, 5, 20);

u = linspace(-2, 5, 20);

% Create a meshgrid for t and u

[T, U] = meshgrid(t, u);

% Calculate the derivatives

dudt = T.*sin(U) - T.^2/4;

dvdt = ones(size(dudt));

% Normalize the derivatives

norm = sqrt(dudt.^2 + dvdt.^2);

dudt = dudt./norm;

dvdt = dvdt./norm;

% Plot the direction field

quiver(T, U, dudt, dvdt);

axis tight;

xlabel('t');

ylabel('u');

```

After running each code snippet in MATLAB, you should see a plot with arrows representing the direction field for the given ODE on the specified range. The equilibrium solutions, if any, can be visually identified as points where the arrows converge or where the direction field becomes horizontal.

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Answer: 45 centimeters

Step-by-step explanation:

27 - 3

divide both by 3

9 - 1

multiply by 5

45 - 5

Answer:

45 Centimeters.

Step-by-step explanation:

27 / 3 = 9

9 x 5 = 45

Answer:

130 papers.

Step-by-step explanation:

1 min per paper therefore 130 mins = 130 papers

:)

Answer:

54.4

Step-by-step explanation:

Answer: 54.55kg

Step-by-step explanation:

120 ÷ 2.2 = 54.55 kg

Answer:

5.5m^2

the area of just the trench is 5.5 m^2

Step-by-step explanation:

The Area of trench only is the total area(trench and garden) minus the Area of garden

Area of trench only = total area(trench and garden) - Area of garden

Area = length × breadth

Substituting the given dimensions;

Total area = 3.5 × 3 = 10.5 m^2

Area of garden = 2.5×2 = 5 m^2

Area of trench only = 10.5 m^2 - 5 m^2

Area of trench only = 5.5m^2

the area of just the trench is 5.5 m^2

Answer:

5 1/5

Step-by-step explanation:

Is there an answer key?

Answer:

2(6x+5+2y)

Step-by-step explanation:

Answer:

y = 1/25

Step-by-step explanation:

Reciprocal of y^(1/2)  : 1/y^(1/2)

1/y^(1/2) = 5

y^(1/2) = 1/5

y = (1/5)^2

Answer:

-2 = not in domain

0= in domain

3= in domain

Answer:

N/A

Step-by-step explanation:

the question is not in depth could you add a photo

Answer:

She needs to score 78 on her next test

Step-by-step explanation:

\(\frac{78+60+82+94+88+x}{6}=80\)

Collect like terms;

\(\frac{402+x}{6}=80\)

Multiply both sides by 6;

402 + x = 480

Subtract 402 from both sides;

x = 78

Answer:

2:5

Step-by-step explanation:

Total marbles: 10

red: 2

yellow: 5

2:5

80° is the value of angle in quadrilateral .

What is a quadrilateral in mathematics?

A rectangle is defined as a two-dimensional shape with four sides, four vertices, and four corners. There are two main types:

concave and convex.

                            There are also various subcategories of convex quadrilaterals such as trapezoids, parallelograms, rectangles, rhombuses and squares. 

In quadrilateral ,

X + 100 + 100 + 80 = 360°

 X + 280° = 360°

  X = 360° - 280°

  X =  80°

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The probability that the customer will pick neither the chocolate chip topping nor the walnut topping is 0.6.

Probability refers to the chance of occurrence of an event.

Let E be an event. Then, the probability of E = P(E)

=> P(E) = \(\frac{Number Of Favourable Outcomes Of Event E}{Total Number Of Outcomes}\)

Given: The probability that the customer will take both toppings = 0.4

We know that the total probability of an event occurring = 1.

Thus, the probability that the customer will take neither the chocolate chip toppings nor the walnut toppings = 1 - 0.4 = 0.6

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A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

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The defect rate for your product has historically been about 1.50% For a sample size of 200, the upper and lower 3​-sigma  The upper control limit (UCL) is approximately 0.0450.

The upper control limit (UCL) for a 3-sigma control chart is given by:

\(\[UCL\) = defect rate + 3 * sqrt((defect rate * (1 - defect rate)) / sample size)

Substituting the values, where the defect rate is 1.50% (0.015) and the sample size is 200, we get:

\(\[UCL = 0.015 + 3 \times \sqrt{\frac{0.015 \times (1 - 0.015)}{200}}\]\)

Calculating this expression, we find:

\(\[UCL \approx 0.0450\]\)

Therefore, the upper control limit (UCL) is approximately 0.0450.

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Answer:

2065.5

Step-by-step explanation:

You have to approximate the following calculation 3.5^6

The binomial theorem is given by:

\((a+b)^n=\Sigma_{k=0}^{k=n}\left[\begin{array}{c}n&k\end{array}\right] a^{n-k}b^k\)      (1)

You can express the number 3as follow:

\(3.5^6=(3+0.5)^6=(3+\frac{1}{2})^6\)          (2)

by comparing the equation (1) with the equation (2) you have

a = 3

b = 1/2

To calculate the first three terms of the binomial theorem you use k=3. You replace the values of a, b, n and k in the equation (1):

\((3+\frac{1}{2})^6=\Sigma_{k=0}^{k=6}\left[\begin{array}{c}6&k\end{array}\right] (3)^{6-k}b^k\)

You only take the first three terms:

\((3+\frac{1}{2}^6)\approx(1)(3)^6(\frac{1}{2})^0+(6)(3)^5(\frac{1}{2})^1+\frac{6\cdot 5}{1\cdot 2}(3)^4(\frac{1}{2})^2\\\\(3+\frac{1}{2}^6)\approx729+729+\frac{1215}{2}=2065.5\)

By using the first three terms of bynomial theorem you obtain 2065.5