Use the figure below to find the value of x show all work

Answer:

.375

Step-by-step explanation:

divide 3 by 8

Answer:

0.375

Step-by-step explanation:

If your dividing just divide the numerator by the denominator

Answer:

S₆ = - 364

Step-by-step explanation:

the sum to n terms of a geometric series is

\(S_{n}\) = \(\frac{a_{1}(r^{n}-1) }{r-1}\)

where a₁ is the first term and r the common ratio

here a₁ = 2 and r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-6}{2}\) = - 3 , then

S₆ = \(\frac{2((-3)^{6}-1) }{-3-1}\)

    = \(\frac{2(729-1)}{-4}\)

   = \(\frac{2(728)}{-4}\)

   = \(\frac{1456}{-4}\)

  = - 364

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Answer:

1084.095$

Step-by-step explanation:

Given, 5m+n = 10

5m = 10-n

\(m = \frac{10 - n}{5} \)

Hope this helps :)

Answer:

5m = 10- n

m = (10 - n) /5

I used bracket around 10-n because they're both being divided by 5.

"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.

Since x represents the smaller of the two numbers,

Thus the larger number will be 26 - x

The expression asked above will be:

=> 5 + larger number - 2 * smaller number

=> 5 + 26 - x - 2 * x

=> 31 -3x

therefore,  "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.

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Answer:

first angle be 30°

second angle be 70°

third angle be 80°

Step-by-step explanation:

first angle be x

second angle be y

third angle be z

x+y+z=180

given, y+z = 5x; z=5x-y

also, z=y+10

5x-y = y+10

5x= 10+y+y = 10+2y

x= (10+2y)/5

x+y+z=180

(10+2y)/5 + y + y+10 = 180

(10+2y)/5 = 180 -2y -10

(10+2y)/5 = 170-2y

multiply both sides by 5

10+2y = 5(170-2y)

10+2y= 850-10y

2y+10y = 850-10

12y= 840

y= 840/12 = 70°

z=y+10 =70+10= 80°

5x= (10+2y) = 10+2(70) = 10+140= 150

x = 150/5 = 30°

Answer:

9.6

Step-by-step explanation:

just make 2 1/6 a improper fraction (I think thats what it is I forget) then divide it on a calculator

Using area formula,

a. Area of the trapezium = 47.5m².

b. Area of parallelogram = 54inches².

The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.

a. Sides of the trapezium are, a = 5m and b = 14m.

Height, h = 5m.

Area of the trapezium = (a+b)/2 × h

= (5 + 14)/2 × 5

= (19× 5)/2

= 95/2

= 47.5m².

b. Height of parallelogram = 6inches.

Base of parallelogram = 9inches.

Area = b × h

= 6 × 9

= 54inches².

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Answer:

A)  Mr. Simpson's class; it has a larger median value 14.5 pencils.

Step-by-step explanation:

A box plot is a visual display of the five-number summary:

From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:

Mr Johnson's class:

Mr Simpson's class:

In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.

The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.

The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).

As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.

In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.

The five rational number between -5/6 and 5/6 are \(\frac{-4}{6} ,\ \frac{-3}{6} ,\ \frac{-2}{6} , \ \frac{-1}{6} ,\ \frac{1}{6}\)

We have given two rational numbers \(\frac{-5}{6}\) and \(\frac{5}{6}\) .

For finding rational number make the denominator of given numbers same.

As the denominator of given numbers is already same so , we don't need to multiply .

Thus , five rational numbers are

 \(\frac{-4}{6} ,\ \frac{-3}{6} ,\ \frac{-2}{6} , \ \frac{-1}{6} ,\ \frac{1}{6}\)

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Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24

Answer:

13728

Step-by-step explanation:

Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4. We are told the sum of x, x+2, and x+4 is equal to 72.

x + (x + 2) + (x + 4) = 72

3x + 6 = 72

3x = 66

x = 22.

This means that the integers are 22, 24, and 26. The question asks us for the product of these numbers, which is 22(24)(26) = 13728.

The answer is 13728.

Answer:12

Step-by-step explanation:

9/12= 3/4   (/3).   3/4=12/16    (x4)

Using multiplication operation, the number of ounces of Isabella's spray fixative contained in the economy size is 9¹/₃ ounces.

Multiplication operation is one of the four basic mathematical operations, including addition, division, and subtraction.

The multiplication operation involves the multiplicand multiplied by the multiplier, resulting in a product.

The multiplication operand is depicted using (x), (*), or (of).

The normal spray fixative purchased by Isabella = 6²/₃ = 6.667 ounces

The relative size of the economy can = 1²/₅ of 6²/₃ ounces

The number of ounces in the economy can = 9¹/₃ ounces (1²/₅ x 6²/₃)

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The lowest score for the normally distribution with mean 72 and standard deviation 8 is equal to 82.

Mean of the normally distributed data 'μ' = 72

Standard deviation 'σ ' = 8

Lowest score with 10% ( 90percentile )

z = InvNorm(0.90)

 = 1.28

Let 'X' be the lowest score for the normal distribution

z = ( X - μ ) / σ

Substitute the values we get,

⇒ 1.28 = ( X - 72 ) / 8

⇒ X - 72 = 1.28 × 8

⇒ X = 10.24 + 72

⇒ X = 82.24

⇒ X = 82 ( round to an integer )

Therefore, the lowest score for normally distribution which will place manage on 90th percentile with given mean and standard deviation is equal to 82.

The above question is incomplete, the complete question is:

Scores on a management aptitude examination are normally distributed with a mean of 72 and a standard deviation of 8.we want to find the lowest score that will place a manager in the top 10% (90th percentile) of the distribution. Your answer is Please round to an integer number.

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TU is parallel to MN.

Given that the slope of a line MN is -3, we need to find a line which is parallel to the MN.
So we know that the parallel lines are having equal slope so the line which is parallel to the MN it must have slope of -3.

Therefore,

Considering the line TU, find the slope = y₂-y₁ / x₂-x₁

= 10-1 / 5-8 = -9/3 = -3

Since, the slope of the line TU is -3 therefore we can say the lines TU and MN are parallel liens.

Hence TU is parallel to MN.

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Answer:

126.5 cm^2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

253\(cm^{2}\)

Step-by-step explanation:

11 times 23 =253\(cm^{2}\)

Answer:

1 : 3

Step-by-step explanation:

¼ of the biscuits are chocolate while the rest are plain.

Since a fraction is a part of a whole, 1, then it means that the fraction that are plain is:

1 - ¼ = ¾

Therefore, the ratio of chocolate biscuits to plain biscuits is:

¼ : ¾

To put this in simplest dorm, multiply both sides by 4, we have:

1 : 3

This is the ratio of chocolate biscuits to plain biscuits.

Answer: does it mean like 1/4 and 3/4 plz dont delete and plz tell me if im wrong

Step-by-step explanation:

Answer: 0.12

Step-by-step explanation:

just divide whatever is under 5 with the total amount of frequency

so then you do 12/100 which is 0.12

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).

Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.

Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.

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Answer:

smaller angle - 40.4 degrees

larger angle - 49.6 degrees

check attachment for steps

pls Mark as brainliest

Answer:

-15

Step-by-step explanation:

Answer:

(-5) x 3 + -15

Step-by-step explanation:

Answer:

a. 0.4364 = 43.64% probability that the total of their scores is above 260.

b. 0.0351 = 3.51% probability that Jeff's score is higher.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Sum/Subtraction between normal variables:

When two normal variables are added/subtracted, the mean is the sum/subtraction of the means, while the standard deviation is the square root of the sum of the variances.

a. the total of their scores is above 260.

Mean is the sum of the means, so:

\(\mu = 100 + 155 = 255\)

Standard deviation is the square root of the sum of the variances. So

\(\sigma = \sqrt{21^2+22^2} = 30.4\)

The probability is 1 subtracted by the p-value of Z when X = 260. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{260 - 255}{30.4}\)

\(Z = 0.16\)

\(Z = 0.16\) has a p-value of 0.5636

1 - 0.5636 = 0.4364

0.4364 = 43.64% probability that the total of their scores is above 260.

b. Jeff's score is higher.

Jeff's mean is of 100, while Pam's is of 155. The probability of Jeff's score being higher is the probability that the subtraction is above 0. The mean is:

\(\mu = 100 - 155 = -55\)

The probability is 1 subtracted by the p-value of Z when X = 0. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{0 - (-55)}{30.4}\)

\(Z = 1.81\)

\(Z = 1.81\) has a p-value of 0.9649.

1 - 0.9649 = 0.0351

0.0351 = 3.51% probability that Jeff's score is higher.

They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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Therefore, the expression (7-3i) + (x - 2i)² - (4i + 2x²) in the simplest a + bi form is: -2x² - 1 - (4x + 7i)

Linear Equation                   General Form                    Example

Slope intercept form             y = mx + b                            y + 2x = 3

Point–slope form                   y – y1 = m(x – x1 )              y – 3 = 6(x – 2)

General Form                            Ax + By + C = 0               2x + 3y – 6 = 0

Intercept form                        x/a + y/b = 1                 x/2 + y/3 = 1

As a Function f(x) instead of y      f(x) = x + C                         f(x) = x + 3

The Identity Function                      f(x) = x                     f(x) = 3x

Constant Functions                      f(x) = C                       f(x) = 6

Let's start by expanding the square term (x - 2i)² using the formula for (a + b)²:

(x - 2i)² = x² - 4xi + 4i²

Note that i² = -1, so we can simplify this expression to:

(x - 2i)² = x² - 4xi - 4

Substituting this expression and the given values into the original expression, we get:

(7 - 3i) + (x² - 4xi - 4) - (4i + 2x²)

Grouping the real and imaginary terms, we get:

(7 - 4 - 2x²) + (-3i - 4i - 4x) + (x²)

Simplifying the real part, we get:

-2x² - 1

Simplifying the imaginary part, we get:

-7i - 4x

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Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

\(\frac{dP}{dt} = Pr\)

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

\(\frac{dP}{P} = r dt\)

\(\int \frac{dP}{P} = \int r dt\)

\(\ln{P} = rt + K\)

Applying the exponential to both sides:

\(P(t) = Ke^{rt}\)

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

\(P(t) = 300e^{rt}\)

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

\(P(t) = 300e^{rt}\)

\(1000 = 300e^{24r}\)

\(e^{24r} = \frac{1000}{300}\)

\(e^{24r} = \frac{10}{3}\)

\(\ln{e^{24r}} = \ln{\frac{10}{3}}\)

\(24r = \ln{\frac{10}{3}}\)

\(r = \frac{\ln{\frac{10}{3}}}{24}\)

\(r = 0.05\)

So

\(P(t) = 300e^{0.05t}\)

At what time t is the population 500?

This is t for which P(t) = 500. So

\(P(t) = 300e^{0.05t}\)

\(500 = 300e^{0.05t}\)

\(e^{0.05t} = \frac{500}{300}\)

\(e^{0.05t} = \frac{5}{3}\)

\(\ln{e^{0.05t}} = \ln{\frac{5}{3}}\)

\(0.05t = \ln{\frac{5}{3}}\)

\(t = \frac{\ln{\frac{5}{3}}}{0.05}\)

\(t = 10.22\)

The population is of 500 after 10.22 hours.

By finding the population as a function of time, we will see that the population will be 500 after 10.2 hours.

Let's say that the population equation is p(t).

We know that the rate of change is proportional to the population, so we have the differential equation:

p'(t) = a*p(t).

This means that p(t) is an exponential function of the form:

p(t) = A*e^(a*t)

Now we know that:

p(0) = A*e^(a*0) = A = 300

And:

P(24) = 300*e^(a*24) = 1000

           e^(a*24) = 1000/300

           a*24 = ln(1000/300)

            a = ln(1000/300)/24 = 0.05

Then the population equation is:

p(t) = 300*e^(0.05*t)

Now we want to find the value of t such that the population is 500, so we need to solve:

p(t) = 300*e^(0.05*t) = 500

         e^(0.05*t) = 500/300

             0.05*t =   ln(500/300)

                      t =   ln(500/300)/0.05 = 10.2

So the population will be 500 at t = 10.2 hours.

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Answer:

c

Step-by-step explanation:

Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

This is referred to as information that has been translated into a form that is efficient for movement or processing.

Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.

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