Find another point on the line that passes through the point (4,5) and has a slope of 2. Explain how you obtained your answer.

Answer:

94 yards^2

Step-by-step explanation:

Follow the rule for the Surface Area of a Rectangular Prism.

Formula: SA = 2lw + 2lh + 2wh

Substitute the values and you'll be fine.

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The Surface area of solid is 94 yd².

The surface area of a three-dimensional object is the total area of all its faces.

Here, Given area of the solid are 12 yd², 8 yd², 24 yd², 8 yd², 12 yd², 24 yd², and 6 yd²

Total Surface area = 12 + 8 + 24 + 8 + 12 + 24 + 6

                               = 94 yd²

Thus, the Surface area of solid is 94 yd².

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The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

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The mean absolute deviation of the given data set is 3.25

Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. The formula for MAD is:

MAD =∑|x-m|/n

∑ is known as Sigma and means to sum up

| | are vertical bars that mean absolute value

x is each value

m is the mean

n is the total number of data points in your data set

Given: 10, 4, 12 ,4, 2, 10 ,10 ,6

n = 8

m = 10 + 4 + 12 + 4 + 2 + 10 + 10 + 6/8 = 58/8 = 7.25

∑|x-m| = |10-7.25| + |4-7.25| + |12-7.25| + |4-7.25| + |2-7.25| + |10-7.25| +|10-7.25| + |10-7.25|  

         = 2.75 + 3.25 + 4.75 +  3.25 + 5.25 + 2.75 + 2.75 + 1.25 = 26

MAD =∑|x-m|/n = 26/8 = 3.25

Therefore, the mean absolute deviation of the set data is 3.25

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The volume of the given cone is 370.05 m³.

The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter. The volume of a cone formula is 1/3 πr²h.

Given that, a cone has a slant height(l) of 15 meters and a radius(r) of 5 meters.

By Pythagoras theorem,

l²=r²+h²

15²=5²+h²

225=25+h²

h²=200

h=10√2 cm

Now, volume = 1/3 ×3.14×5²×10√2

= 370.05 m³

Therefore, the volume of the given cone is 370.05 m³.

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how many different types of omlettes can be prepared with 10 ingredients? 7

Answer:

1024 omelets

Step-by-step explanation:

2^10 = 1024

Answer:

x=2

Step-by-step explanation:

2x+4=8

2x+4-4=8-4

2x=4

2x/2=4/2

x=2

The value of P (B) = 0.8

The probability of event A, P (A) = 0.68

The probability of events A and B, P (A ∩ B) = 0.544

The probability of event B, P (B) = ?

We know that Independent events are those where the probability of A event occurring doesn't affect the probability of B event. In other words, they don't depend upon each other and are independent.

By formula;

P (A ∩ B) = P (A) . P (B)

By substituting the values to the above equation, we get;

0.544= 0.68 * P (B)

P (B) = 0.8

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Answers:

1. 750

2. 750 + 5*20 = 850

Answer:

18m2

Step-by-step explanation:

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

It is not a ratio because it should not be expressed as a mixed number

so you can express the mixed number like a fraction

20/7 is a ratio because is a fraction, the division between two numbers

(a) A sample size of 784.44 is required to estimate the population proportion to within an error of 0.03 with 95% confidence.

(b) A sample size of 393.22 would be required if no information from a pilot study is available.

What is a sample size?

Sample size refers to the number of observations or measurements that are taken from a larger population as part of a statistical study. In statistical analysis, a sample is a subset of the population being studied, and the sample size is the number of observations or units of analysis included in the sample.

To answer this question, we need to use the formula for the sample size of a proportion:

\(n = \frac{Z^2 * p * (1 - p))}{e^2}\)

Where n is the sample size, Z is the z-score corresponding to the desired confidence level (in this case, Z = 1.96 for a 95% confidence level), p is the estimated population proportion (in this case, p = 0.75 based on the information provided in the question), and e is the desired margin of error (in this case, e = 0.03).

Plugging these values into the formula, we get:

\(n = \frac{(1.96^2 * 0.75 * 0.25)}{0.03^2} \\\\n= 784.44\)

If no information from a pilot study is available, we would need to use a default value for p (such as p = 0.5) in the formula. In this case, we would get:

\(n = \frac{(1.96^2 * 0.5 * 0.5)}{0.03^2}\\\\n= 393.22\)

Hence,

(a) A sample size of 784.44 is required to estimate the population proportion to within an error of 0.03 with 95% confidence.

(b) A sample size of 393.22 would be required if no information from a pilot study is available.

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Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

Answer:

42.5

Step-by-step explanation:

35+7.5=42.5

*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.

Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.

Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.

Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of

To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).

First, let's convert the fractions 1/5 and 2/3 to fifteenths:

\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)

\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)

Now we can rewrite the expression using the common denominator:

\(3 + \frac{3}{15}+\frac{10}{15}\)

If a translation of T (2, -7) is applied to the triangle ABC as shown in the figure attached hereby for reference, and B (1, 5) gets repositioned to B', then the current coordinates of B' are (3, -2).

As per the question statement, a translation of T (2, -7) is applied to the triangle ABC as shown in the figure attached hereby for reference, and B (1, 5) gets repositioned to B'.

We are required to calculate the coordinates of B'.

To solve this question, we need to know what Translation (a, b) to (x, y) and (-a, -b) to (x, y) means. Translation (a, b) to (x, y) means the abscissa "x" is to be shifted to the right by "a" units while the ordinate "y" is to be shifted to the right by "b" units, i.e., after translation, the new coordinates become [(a + x), (b + x)]. On the other hand, Translation (-a, -b) to (x, y) means the abscissa "x" is to be shifted to the left by "a" units while the ordinate "y" is to be shifted to the left by "b" units, i.e., after translation, the new coordinates become [(a - x), (b - x)].

Here, as per the above mentioned concept, a translation of T (2, -7) if applied to the point B (1, 5), the new point B' will be at \([(1+2), (5+(-7)]=[3, (-2)]\).

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Answer: D (3,-12)

Step-by-step explanation:

In the given diagram, the length of the side marked x is 21.34

From the question, we are to determine the value of the side marked x

In the given diagram,

Hypotenuse = x

Adjacent = 15

Included angle = 49°

Using SOH CAH TOA

We can write that,

cos 49° = 14 / x

∴ x = 14 / cos 49°

x = 21.34

Hence, the length of the side marked x is 21.34.

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Answer:kbef;eohrjkvoubwe

cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?

A.

Kendall might be determined to be insane and not qualified to testify.

B.

The evidence in Kendall’s case is inconclusive and doesn’t prove anything.

C.

Kendall is an expert witness who has testified many times before.

D.

The police think it will hurt their case if Kendall chooses to testify.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc length= \(\frac{interior angle}{360} 2\pi r\)

Answer:

\(c=\frac{2\sqrt{3}}{3}\)

h=\(3\sqrt{2}\)

Step-by-step explanation:

Please see the attached image. It is a good idea it to memorize these triangle properties because you will definitely use them in the future.

c=\(\frac{2}{\sqrt{3} } =\frac{2*\sqrt{3} }{\sqrt{3} *\sqrt{3} } =\frac{2\sqrt{3}}{3}\)

h=\(3\sqrt{2}\)

Answer: 3x+4-5x

Step-by-step explanation:

3x+4=5x

3x+4-5x=0

The length of side X in simple radical form with a rational denominator is 10/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 2 × 5/√3

Hypotenuse, x = 10/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: 0.670

Step-by-step explanation:

Given that :

Population mean (μ) = 11.5

Sample size, n = 22

Sample mean, x = 11.7

Standard deviation, s = 1.4

The test statistic ;

Tstat = (x - μ) / (s/√n)

Tstat = (11.7 - 11.5) / (1.4/sqrt(22))

Tstat = 0.2 / 0.2984810

Tstat = 0.6700594

Tstat = 0.670 (3 decimal places )

9514 1404 393

Answer:

  21 yards

Step-by-step explanation:

The area of a quadrilateral with diagonals that are right angles to each other is given by ...

  A = (d1)(d2)/2 . . . . where d1 and d2 are the lengths of the diagonals

  493.5 yd² = (47 yd)(BD)/2 . . . . . . . . . . fill in the given information

Dividing by the coefficient of BD, we have ...

  (2)(493.5 yd²)/(47 yd) = BD = 21 yd

\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)

For two lines to be parallel, there should be angles that follow some specific properties that is usually observed with parallel lines.

We can clearly see that :

\( \qquad❖ \: \sf \: \angle7 \cong \angle16\)

( by Alternate interior angle pair )

\( \qquad \large \sf {Conclusion} : \)

Lines l and m are parallel to each other.