math area and perimeter 07

The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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Answer:

7 full laps

Step-by-step explanation:

let x= how many laps

\(\frac{3}{8} =\frac{x}{20}\)

cross multiply

60=8x

60/8=x

7.5=x

7 full laps (because 0.5 is half a lap)

Answer:

7 full laps

let x= how many laps

cross multiply

60=8x

60/8=x

7.5=x

7 full laps (because 0.5 is half a lap)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The  answer is: No, the series does not converge.

To test the convergence or divergence of the series ∑(ln(n)), we can use the integral test.

Let f(x) = ln(x), where x ≥ 1. Then f(x) is a continuous, positive, and decreasing function for x ≥ 1. Therefore, we can use the integral test to determine whether the series converges or diverges by comparing it to the improper integral:

∫[1, ∞] ln(x) dx

We can evaluate this integral using integration by parts:

∫[1, ∞] ln(x) dx = x ln(x) - x |[1, ∞]
= ∞ - 0 - (1 - 0)
= ∞ - 1

Since the integral diverges, we conclude that the series ∑(ln(n)) also diverges.

Therefore, the answer is: No, the series does not converge.

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Answer:

It really just deleted my answer..

Solve.

4p^2 - 50 = 350

O {-100, 100}

O {-400, 100}

O {-10, 100}

Step-by-step explanation:

You're welcome.

Answer: The answer is 75 and since you have to round it up to the nearest tenth the answer would be 80.

Step-by-step explanation:

You first have to add all the score numbers: 60, 65, 70, 75, 80, 85, 90

Then, you will get 525

Now, divide that by how many scores there are which is 7 and you get 75

Finally, 75 rounded to the nearest tenth is 80!

You're very welcome!!!

Good night!!

Answer:

3/8

Step-by-step explanation:

= (1/4 + 1/2 )/2

= 3/4 ÷ 2

= 3/(4×2)

= 3/8 (final answer)

Answer:

3/8

Step-by-step explanation:

If the measure of angle A is 23 degrees, the approximate measure of angle B is 67°.

If CA = 6.5 and BD = 5, then AD = 4.15 units.

In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can logically deduce that the sum of the given angles are supplementary angles:

m∠ACB + m∠A + m∠B = 180°

m∠B = 180° - (90 + 23)

m∠B = 67°

Since AB is a diameter (angle D is a right angle), we would apply Pythagorean's theorem to find AD as follows;

AB² = AD² + DB²

AD² = AB² - DB²

AD² = 6.5² - 5²

AD = √17.25

AD = 4.15 units.

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Answer:

jddossjienrufhddddhdudjdj

Answer:B

Step-by-step explanation:

Answer:

5/6 to the power of n but whole fraction to the power

Step-by-step explanation:

well, the total bill doesn't include the tip, so the total bill is the cost plus the tax.

so assuming the total bill means before tax, let's call it "x", now if we apply the tax to "x", hmmm how much is 8% of "x"?

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of x}}{\left( \cfrac{8}{100} \right)x}\implies 0.08x\)

so "x" plus the tax will just be x + 0.08x = 1.08x.

The tip was 15% of that 1.08x, and we happen to know that was $1.05.

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 1.08x & 100\\ 1.05& 15 \end{array} \implies \cfrac{1.08x}{1.05}~~=~~\cfrac{100}{15} \\\\\\ 16.2x=105\implies x=\cfrac{105}{16.2}\implies x\approx 6.48\)

Answer: Hope this helps!

Step-by-step explanation:

Area of a trapezoid formula base a+base b/2*h

Base a is the top length (22.5)

Base b is the bottom length (49.9)

Add those two lengths together (22.5+49.9=72.4)

Divide that by two (72.4/2=36.2)

Then multiply that by the height (36.2*23.8=861.56)

So your area is 861.56

The probability for the given mean and variance is given by ,

P(X ≤ 1.5) ≈ 0.9332

P(X ≤ -1) ≈ 0.1587

PDF of (Y - 1) / 2 is φ(z).

P(-1 ≤ Y ≤ 1) is approximately 0.6826

Mean = 0

Variance = 1

P(X ≤ 1.5),

Calculate the cumulative distribution function (CDF) of the normal distribution.

Use standardization by subtracting the mean and dividing by the standard deviation, evaluated at 1.5.

Z

= (X - mean) / standard deviation

= (X - 0) / 1

= X

Using the Z-score calculator, find the corresponding probability for Z ≤ 1.5, which is approximately 0.9332.

P(X ≤ 1.5) ≈ 0.9332

To find P(X ≤ -1), similarly standardize and find the probability for Z ≤ -1,

Z

= (X - mean) / standard deviation

= (X - 0) / 1

= X

Using the Z-score table or a calculator, we find the probability for Z ≤ -1 to be approximately 0.1587.

P(X ≤ -1) ≈ 0.1587

To find the probability density function (PDF) of (Y - 1) / 2,

Use the properties of linear transformations of random variables.

Let Z = (Y - 1) / 2. To find the PDF of Z,

Compute its mean and variance.

The mean of Z can be found as follows,

E[Z]

= E[(Y - 1) / 2]

= (1/2) × E[Y - 1]

= (1/2) × (E[Y] - E[1])

= (1/2) × (1 - 1)

= 0

The variance of Z can be found as follows,

Var[Z]

= Var[(Y - 1) / 2]

= (1/4) × Var[Y - 1]

= (1/4) × Var[Y]

= (1/4) × 4

= 1

Since Z follows a standard normal distribution mean 0 and variance 1,

the PDF of Z is the standard normal distribution's PDF, denoted as φ(z).

Therefore, the PDF of (Y - 1) / 2 is φ(z).

To find P(-1 ≤ Y ≤ 1), we can use the cumulative distribution function (CDF) of the normal distribution with mean 1 and variance 4.

P(-1 ≤ Y ≤ 1) = P(Y ≤ 1) - P(Y ≤ -1)

To calculate these probabilities, we need to standardize the values,

For Y ≤ 1

Z1

= (1 - mean) / standard deviation

= (1 - 1) / 2

= 0

For Y ≤ -1,

Z2

= (-1 - mean) / standard deviation

= (-1 - 1) / 2

= -1

Using the Z-score calculator, we find,

P(Y ≤ 1) ≈ 0.8413

P(Y ≤ -1) ≈ 0.1587

P(-1 ≤ Y ≤ 1)

= P(Y ≤ 1) - P(Y ≤ -1)

≈ 0.8413 - 0.1587

≈ 0.6826

P(-1 ≤ Y ≤ 1) is approximately 0.6826.

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Answer:

For one hour Luke biked uphill 3 miles. After biking 3 miles uphill for one hour Luke stopped  at the store for 2 hours.

Step-by-step explanation:

The volume in the first octant bounded by the xy plane, the xz plane, y=x³ and -z=1-x³, which is 5/28. The surface area of the "roof" using a double integral is 5/12.

To calculate the volume in the first octant bounded by the xy plane, the xz plane, y=x³ and -z= 1-x³, we need to set up a double integral.

The limits of integration for x will be 0 to 1, and for y will be 0 to x³. The limits of integration for z will be -1+x³ to 0.

So, the double integral will be

∫∫[0,1] [0,x³] [-1+x³,0] dz dy dx

Integrating with respect to z first, we get

∫∫[0,1] [0,x³] [1-x³] dy dx

Integrating with respect to y, we get

∫[0,1] ∫[0,x³] [1-x³] dy dx

Simplifying, we get

∫[0,1] x³-x⁶ dx

Integrating, we get

[x⁴/4 - x⁷/7] from 0 to 1

Simplifying, we get:

1/4 - 1/7 = 5/28

So, the volume of the region is 5/28.

To find the surface area of the "roof" in problem 4, we can use a double integral as well.

The limits of integration for x will be 0 to 1, and for y will be 0 to x. The limits of integration for z will be z = 2x-y to z = x².

So, the double integral will be

∫∫[0,1] [0,x] [2x-y,x²] dz dy dx

Integrating with respect to z first, we get

∫∫[0,1] [0,x] (x²-2x+y) dy dx

Integrating with respect to y, we get

∫[0,1] ∫[0,x] (x²-2x+y) dy dx

Simplifying, we get

∫[0,1] (x³/3 - x²/2 + x) dx

Integrating, we get

x⁴/12 - x³/6 + x²/2 from 0 to 1

Simplifying, we get:

1/12 - 1/6 + 1/2 = 5/12

So, the surface area of the "roof" is 5/12.

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Answer:

In y = mx + b, b is the y-intercept. The y-intercept is equal to 1.

Step-by-step explanation:

The y-intercept is where a function crosses the y-axis, in a graph. This linear function is written in slope intercept form, y = mx + b, where b is the y-intercept, and m is the slope. Therefore, the y-intercept is 1. If you graphed this, it would start at y = 1, and go up 1 y-value and 2 x-values.

Answer:

1/7, 2/7, 3/7, 4/7, 5/7, 6/7

Step-by-step explanation:

If I understood correctly.

Answer:

50

Step-by-step explanation:

the answer is 50 becuz it is

An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

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Hi there!

\(\large\boxed{(2x + 3)(x + 1)}\)

We can split into factors using the "guess and check" method.

Factors are in the format of:

(ax + b)(cx + d), where in this instance:

a · c = 2

bc + da = 5

b · d = 3

Thus, we get:

(2x + 3)(x + 1)

Answer:

2x^2 +5x +3            3*2 =6  and 3+2 = 5

2x2 +2x +3x +3

2x(x +1) + 3(x+1)

(x+1)(2x+3)

Step-by-step explanation:

The transformation of a function may involve any change. The function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift:

Stretching:

Given the function f(x)=7x+3, now, if the function is moved down by d units, then the function can be transformed down wards by 4 units as shown below.

g(x) = f(x) moved down by 4 units

g(x) = f(x) - 4

g(x) = 7x + 3 - 4

g(x) = 7x - 1

Hence, the function, g(x) that represents function f(x) moved 4 units downwards is g(x)=7x-1.

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Answer:

If the sales 2 years ago were x, the sales last year were 1.12x and this year's sales were 1.12 * (1.12x). We can write 1.12 * (1.12x) = 81427 so that means x = $64913.

Answer/Step-by-step explanation:

Quotient is simply the ratio of the first numerator to the second numerator:

Let's \(\frac{x_1}{y}\;and\;\frac{x_2}{y}\) are two fractions in same terms.

Thus, \(\frac{x_1}{y}\div\frac{x_2}{y}\) {Divided by a fraction is equal to multiplied by its reciprocal}

=\(\frac{x_1}{y}\times\frac{y}{x_2}\)

Quotient is simply the quotient of their numerators.

Example could be:

\(\frac{2}{7}\div\frac{3}{7}\)

\(\frac{2}{7}\times\frac{7}3}\)

\(\frac{2}{3}\)

2 is first numerator and 3 is the second numerator.

~lenvy~

Answer:

If there is a very weak correlation between two variables, then the coefficient of determination (R-squared) must be low as well.

This is because the coefficient of determination measures the proportion of variance in the dependent variable that can be explained by the independent variable(s).

When the correlation between the variables is weak, there is less variance in the dependent variable that can be explained by the independent variable(s), resulting in a lower R-squared value. So, the answer is "low".

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Answer:

i dont see an X

Step-by-step explanation:

were is the X

Answer:$39

Step-by-step explanation:

Answer: $39.00 I'm pretty sure

The given case study illustrates that a plant can use multiple types of transformation systems simultaneously. X .Dpriy, Lse was founded by two first-year college students and serves as the substrate for the actual game board. The game to produce a knockoff real estate board game similar to Monopoly. To make a knock-off board game like Monopoly, multiple transformation systems are needed. These include:

Material Handling: Material handling is the process of transporting raw materials, semi-finished goods, and finished goods from one location to another within the plant or facility. In the case of X.Dpriy, Lse, the material handling system moves the raw materials from the storage area to the production line.

Processing: The processing system transforms the raw materials into finished goods. In the case of X.Dpriy, Lse, the processing system involves the printing of the board game, packaging, and assembly.

Quality Control: Quality control is the process of ensuring that the finished goods meet the specified quality standards. In the case of X.Dpriy, Lse, the quality control system involves checking for errors or defects in the printing, packaging, and assembly processes.

Information Processing: Information processing systems involve the management of data, information, and knowledge within an organization. In the case of X.Dpriy, Lse, information processing systems are used to manage inventory, track sales, and analyze customer data.

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The probability of the intersection of two mutually exclusive events, such as A and B, is always zero. Therefore, P(A∩B) = 0.

Mutually exclusive events are events that cannot occur simultaneously. If events A and B are mutually exclusive, it means that if one event happens, the other event cannot happen at the same time.

In such cases, the intersection of these events is an empty set, and the probability of the intersection is zero.

Since A and B are mutually exclusive with given probabilities P(A) = 0.3 and P(B) = 0.5, we can conclude that the probability of their intersection, P(A∩B), is equal to 0.

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