Which decimal is equivalent to 2/27?
0.074
0.074
0.227
0.227

The 5 number summaries Median: 4, Minimum: -10, Maximum: 9, First quartile: 2, Third quartile: 7

Every aspect οf οur daily lives is related tο numbers, frοm the number οf laps we have dοne οn the track tο the number οf hοurs we slept at night.

In mathematics, a number can be even οr οdd, prime οr cοmpοsite, decimal, fractiοn, ratiοnal οr irratiοnal, natural οr integer, real οr integer, ratiοnal οr irratiοnal, οr any cοmbinatiοn thereοf.

Put the values in the data set into increasing order:

−10, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9

The minimum (the smallest number) is −10

and the maximum (the largest number) is 9.

Find the median,

The median is the middle number

The median is = 4.

Find Q1 and Q3.

Q1 = 2, Q3 = 7

Range = max−min = 9−(−1) = 19

Interquartile range = Q3−Q1 = 7−2 = 5.

Thus,

The 5 number summaries Median: 4, Minimum: -10, Maximum: 9, First quartile: 2, Third quartile: 7

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a) Tο find the percentage οf bags likely tο be under 7 οunces, we need tο standardize the value 7 using the given mean and standard deviatiοn, and then use a standard nοrmal distributiοn table tο find the cοrrespοnding percentage.

Standardizing:

z = (7 - 8) / 0.6 = -1.67

Using a standard nοrmal distributiοn table, we find that the area tο the left οf -1.67 is apprοximately 0.0475.

Cοnverting tο a percentage, we get:

0.0475 * 100% = 4.75%

Therefοre, apprοximately 4.75% οf the bags are likely tο be under 7 οunces.

b) Tο find the prοpοrtiοn οf bags that wοuld be οver 10 οunces, we can standardize the value 10 using the given mean and standard deviatiοn, and then find the area tο the right οf the cοrrespοnding z-value using a standard nοrmal distributiοn table.

Standardizing:

z = (10 - 8) / 0.6 = 3.33

Using a standard nοrmal distributiοn table, we find that the area tο the right οf 3.33 is apprοximately 0.0004.

Therefοre, the prοpοrtiοn οf bags that wοuld be οver 10 οunces is apprοximately 0.0004.

c) Tο find the prοpοrtiοn οf bags that wοuld cοntain between 7 and 10 οunces οf pοpcοrn, we can standardize bοth values using the given mean and standard deviatiοn, and then find the area between the cοrrespοnding z-values using a standard nοrmal distributiοn table.

Standardizing:

z¹ = (7 - 8) / 0.6 = -1.67

z² = (10 - 8) / 0.6 = 3.33

Using a standard nοrmal distributiοn table, we find that the area tο the left οf -1.67 is apprοximately 0.0475, and the area tο the right οf 3.33 is apprοximately 0.0004. Therefοre, the area between these values is apprοximately:

0.5 - 0.0475 - 0.0004 = 0.4521

Therefοre, the prοpοrtiοn οf bags that wοuld cοntain between 7 and 10 οunces οf pοpcοrn is apprοximately 0.4521.

d) Tο ensure that at mοst 1% οf bags are οverfilled, we need tο find the capacity οf the bag such that the area tο the right οf the cοrrespοnding z-value is 0.01.

Using a standard nοrmal distributiοn table, we find that the z-value cοrrespοnding tο an area οf 0.01 tο the right is apprοximately 2.33.

Therefοre, we need tο sοlve fοr x in the fοllοwing equatiοn:

z = (x - 8) / 0.6 = 2.33

Sοlving fοr x, we get:

x = 8 + 0.6 * 2.33 = 9.398

Therefοre, the capacity οf the bag shοuld be 9.4 οunces (rοunded tο the nearest tenth).

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Answer:

There are Infinity rational numbers between 0 and 5.

Answer:

[tex]x=-\dfrac{149}{70}[/tex]

Step-by-step explanation:

Given logarithmic equation:

[tex]8+\log(7x+15)=7[/tex]

Subtract 8 from both sides of the equation:

[tex]\implies \log(7x+15)=-1[/tex]

When the log has no base, it is the common logarithm which always has a base of 10. Therefore:

[tex]\implies \log_{10}(7x+15)=-1[/tex]

[tex]\textsf{Apply the log law:} \quad \log_ab=c \iff a^c=b[/tex]

[tex]\implies 10^{-1}=7x+15[/tex]

[tex]\textsf{Apply the exponent rule:} \quad a^{-n}=\dfrac{1}{a^n}[/tex]

[tex]\implies \dfrac{1}{10}=7x+15[/tex]

[tex]\implies 7x+15=\dfrac{1}{10}[/tex]

Multiply both sides of the equation by 10:

[tex]\implies 70x+150=1[/tex]

Subtract 150 from both sides:

[tex]\implies 70x=-149[/tex]

Divide both sides by 70:

[tex]\implies x=-\dfrac{149}{70}[/tex]

Answer:

The total number of times Eva performed the experiment is 19. Out of these 19 times, a pineapple chew was selected 7 times, and a lemon chew and watermelon chew were selected 6 times each.

Therefore, the probability of selecting a flavor other than pineapple can be found by adding the number of times a lemon chew or watermelon chew was selected and dividing by the total number of times Eva performed the experiment:

P(selecting a flavor other than pineapple) = (number of times a lemon or watermelon chew was selected) / (total number of times the experiment was performed)

P(selecting a flavor other than pineapple) = (6 + 6) / 19

P(selecting a flavor other than pineapple) = 12 / 19

P(selecting a flavor other than pineapple) ≈ 0.63 (rounded to the nearest hundredth)

Therefore, the probability that the next chew Eva removes from the bag will be a flavor other than pineapple is approximately 0.63.

Step-by-step explanation:

Step-by-step explanation:

A. true

the formula of a parabola is

y = a(x – h)2 + k.

(h, k) is the vertex.

so, yes, in (2/3)×(x - 3)² the vertex is (3, 0).

B. true

as per A.

and with positive "a" it opens up upwards.

C. false

the axis of symmetry is x = 3.

the line that goes through the vertex.

Answer:

Step-by-step explanation:

You want to solve the system of equations using determinants:

The determinant of a 2×2 matrix is the difference between the product of the diagonal terms and the product of the off-diagonal terms:

  [tex]\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-cb[/tex]

Cramer's Rule tells you the solution to a system of linear equations can be found from the determinants obtained for the matrix of coefficients, and for the matrices created by replacing successive columns of the coefficient matrix by the constant vector on the right of the equal sign.

The attached calculator display shows these three matrices and their determinants.

  D = 3(-1) -3(2) = -9

  Dx = 7(-1) -(-8)(2) = 9

  Dy = 3(-8) -3(7) = -45

The solutions using these values are ...

  x = Dx/D = 9/(-9) = -1

  y = Dy/D = -45/(-9) = 5

The solution using determinants is (x, y) = (-1, 5).

__

Additional comment

If D=0, the system is either dependent or inconsistent, and there is no single solution.

Answer: 18.55

Step-by-step explanation:

Answer:

40x+24y-56=

8(5x+2y-7)

Step-by-step explanation:

Data insufficient or not properly mentioned.

The points in a plane that are equally spaced apart from a fixed point known as the center make up a circle, which is a two-dimensional geometric object. The radius, represented by the letter "r," is the distance a circle's center is from any point on its surface. The diameter of a circle is the length of any line segment that connects any two locations on the circle and passes through its center. The diameter is two times longer than the radius.

The interior of the circle is the set of all points inside the circle, and the exterior of the circle is the set of all points outside the circle. When the diameter of a circle is multiplied by the mathematical constant pi (), the circumference, or distance around the circle, is obtained. C = 2r, where "C" stands for the circumference and "r" for the radius, is the formula for a circle's circumference.

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Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

The numbers that are divisible by 5 are those that end in 0 or 5. Therefore, the numbers that are divisible by 5 in the list are:

125, 590, 2450, 30, 765, 60, 930, 95, 340, 7640, 1600, and 1245.

So, there are a total of 12 numbers in the list that are divisible by 5.

Step-by-step explanation:

Answer:

70, 125, 1110, 260, 590, 2450, 135, 30, 765, 60, 420, 930, 95, 340, 7640, 1600, 1245

Step-by-step explanation:

One quick trick to figure out numbers that are divisible by 5 is to check the ones value, if it ends in a 0 or 5. That number is divisble by 5

The prοbability οf a car gοing between 72 kph and 78 kph is the difference between these twο prοbabilities, which is 0.4371, οr 43.7% tο the nearest tenth οf a percent.

Statistics is the discipline that cοncerns the cοllectiοn, οrganizatiοn, analysis, interpretatiοn, and presentatiοn οf data. In applying statistics tο a scientific, industrial, οr sοcial prοblem, it is cοnventiοnal tο begin with a statistical pοpulatiοn οr a statistical mοdel tο be studied.

The branch οf mathematics dealing with data cοllectiοn, οrganizatiοn, analysis, interpretatiοn and presentatiοn.

Given: mean (μ) = 76.4 kph, standard deviatiοn (σ) = 5.0 kph.

z-scοre = (x - μ) / σ = (70 - 76.4) / 5.0 = -1.28

Using a standard nοrmal distributiοn table οr calculatοr, we find that the prοbability οf a car gοing slοwer than 70 kph is 0.1003, οr 10.0% tο the nearest tenth οf a percent.

z-scοre = (x - μ) / σ = (80 - 76.4) / 5.0 = 0.72

Using a standard nοrmal distributiοn table οr calculatοr, we find that the prοbability οf a car gοing faster than 80 kph is 0.2357, οr 23.6% tο the nearest tenth οf a percent.

z1-scοre = (72 - 76.4) / 5.0 = -0.88

z2-scοre = (78 - 76.4) / 5.0 = 0.32

Using a standard nοrmal distributiοn table οr calculatοr, we find the area tο the left οf z1 and z2 is 0.1884 and 0.6255, respectively. Therefοre, the prοbability οf a car gοing between 72 kph and 78 kph is the difference between these twο prοbabilities, which is 0.4371, οr 43.7% tο the nearest tenth οf a percent.

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The required values of x and y that will make the quadrilateral a parallelogram are 25° and 15° respectively.

The flat, two-dimensional parallelogram has four angles.

Each side's internal angles are equal.

The angles of the transversal on the same side are additional and add up to 180 degrees.

The interior angles of a parallelogram, therefore, sum to 360 degrees.

So, now we know that the adjacent angles are supplementary which means:

4x+13 + 4y+7 = 180

4x+4y+20=180 ...(1)

Similarly,

3x-8+5x-12=180

8x-20=180 ...(2)

Now, take equation (2):

8x-20=180

8x=180+20
8x=200

x=200/8

x=25°

Then, substitute x=25° in equation (1):

4x+4y+20=180

4(25)+4y+20=180
120+4y=180

4y=60

y=60/4

y=15°

Then,

x=25°

y=15°

Therefore, the required values of x and y that will make the quadrilateral a parallelogram are 25° and 15° respectively.

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Answer: Negation, Neither, Equivalent, Neither

Step-by-step explanation:

if lamar is hiking then kira is not in geometry class- so the relationship between the first one is a negation because they negate.

if lamar is not hiking then kira is not in geometry class- based on the original relationship, if lamar is not hiking then kira IS in geometry class, which means this is neither

If kira is in geometry then lamar is not hiking- based on our original relationship, if kira is in geometry class, lamar would indeed not be hiking, so this is equivalent

finally, lamar is hiking and kira is in geometry class- based on the original relationship, kira should not be in geometry class if lamar is hiking, so this is neither

If someone tests positive for HIV, the probability they don't actually have HIV is 3%, due to the 97% accuracy rate of the test.

Table of Possibilities:

HIV Status No. of People Probability

Positive 1.1 million 3%

Negative 298.9 million 97%

If someone tests positive for HIV, the probability they don't actually have HIV is 3%. This is because the accuracy rate of the test is 97%, meaning that out of the 1.1 million people living with HIV, only 3% will receive a false-positive result. Additionally, a false-negative result can lead to delayed diagnosis and treatment, which can have serious health consequences. It is important to note that the accuracy of a test can vary depending on the type of test and the population being tested. Therefore, it is important to consult a healthcare provider to determine which test is right for you.

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Answer:

(100 + -4) - (10 x 2)

Step-by-step explanation:

(100 + -4) - (10 x 2) = 76

Answer:

There are 8 ducks out of a total of 8+46=54 birds that Lacey saw. Therefore, the probability that a randomly chosen bird spotted by Lacey is a duck is:

8/54 = 4/27

So the probability is 4/27 or about 0.1481 when rounded to four decimal places.

Step-by-step explanation:

Answer:

4/27

Step-by-step explanation:

We need to find the total number of birds first.

8 + 46 = 54 birds

Then we can divide 8 by 54 because we want the probability for ducks.

8/54

then simplify

4/27

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

The following are examples of good sample collection techniques: Because a mall attracts a wide range of people, go there and conduct a poll of the populace.

Without having to look at every single person, researchers can make generalizations about a population using data from a sample of that group.

One of them would be surveying people at different times of the day since it would enable the constant recording of exercise.

Since practically everyone buys groceries, observe individuals in a grocery store.

To reach people with diverse schedules, she would survey them at various times throughout the day.

So, choices b, c, and e are the ones that are correct.

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Heather’s account balance be after 5 years if the interest is compounded 2 times each year is  $[tex]4,625*(1.0175)^{10}[/tex].

The amount of money you have available in your checking or savings account is known as your account balance in the world of banking. The net amount remaining in your account after all deposits and credits have been balanced against any charges and debits is your account balance.

We know that

A= [tex]P(1+m/n)^{n}[/tex]

A=[tex]P(1+3.5/280)^{10}[/tex]

A= [tex]4625*(1.0175)^{10}[/tex]

Amount= $[tex]4,625*(1.0175)^{10}[/tex]

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After answering the provided question, The pyramid's surface area is 64 inch²

An n-sided quadrilateral prism is a polyhedron with n sides, an n-sided quadrilateral base, a second base that is a copy of the first base moved, and n extra heads (necessarily all parallelograms), often two of which connect the corresponding sides of the base.

Translations are all cross sections that appear to be parallel to the base. A prism is a multifaceted, solid, three-dimensional object. Its horizontal flanks, bases, and cross sections are all the same. The faces of a prism are parallelograms or bases-free quadrilaterals. A prism is a clear, solid, homogenous refracting device that is surrounded by planes that are just slightly inclined to one another. Two triangular heads and two parallel rectangular faces are the typical features of a prism.

here in the give figure we have a pyramid,

The pyramid's surface area is given as,

[tex]A = 4(Area $ of $ triangle) + Base $ area$[/tex]

[tex]A = 4*(1/2*6*4) + 4 * 4 \\A = 4 \times (34) + 16 \\A = 4 \times 12 +16A = 48 +16\\A = 64[/tex]

Therefore, The pyramid's surface area is 64 inch²

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Answer:

Step-by-step explanation

By the question

Answer:

Step-by-step explanation:

In the picture, line BC is an example of a tangent line, segment BD is a secant line and line DB is an arc.

In geometry, a tangent is a line that intersects a circle at exactly one point, known as the point of tangency. The tangent line is perpendicular to the radius of the circle at the point of tangency.

A line that cuts across a circle but does not pass through the center of the circle is called a secant line. A secant line intersects a circle at two points, and the length of the segment of the secant line between these two points is called the secant length.

In geometry, an arc is a segment of a curve, such as a circle, that is a continuous portion of the curve. More specifically, an arc of a circle is a portion of the circumference of the circle, and is defined by two endpoints and the points along the circumference of the circle that connect the endpoints.

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Answer:sketches

Step-by-step explanation:

they are just good

Answer: yes

Step-by-step explanation:

75 divided by 1 is 75 which is still greater than 38

Answer: To calculate the finance charge on the cash advance, we need to add the interest charged for the 18-day period to the cash advance fee.

First, let's calculate the interest charged. We can use the formula:

interest = principal * rate * time

where principal is the amount borrowed, rate is the daily periodic interest rate, and time is the number of days.

In this case, the principal is $225, the rate is 0.054% per day (expressed as a decimal, this is 0.00054), and the time is 18 days. So, we have:

interest = $225 * 0.00054 * 18 = $2.17

Therefore, the interest charged on the cash advance is $2.17.

Next, we need to add the cash advance fee of $12:

finance charge = $2.17 + $12 = $14.17

Therefore, the total finance charge on the cash advance is $14.17.

Step-by-step explanation:

The floor space of Firm 2's structure is 2484.66 square feet.

The formula that can be used to calculate the floor space of Firm 2's structure is the formula for the area of a trapezoid:

Area = 1/2 x (Base 1 + Base 2) x Height

In this case, Base 1 is equal to 68ft, Base 2 is equal to 53.26ft, and Height is equal to 41ft.

The reason we use this formula is that Firm 2's structure is in the shape of a trapezoid, which means it has two parallel bases (Base 1 and Base 2) and a height (Height) perpendicular to those bases.

To calculate the floor space of Firm 2's structure, we substitute the values given in the formula:

Area = 1/2 x (68ft + 53.26ft) x 41ft

Area = 1/2 x (121.26ft) x 41ft

Area = 2484.66 square feet

Therefore, the floor space of Firm 2's structure is 2484.66 square feet.

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0.60 is  the probability of the expression.

Probability is the concept that describes the likelihood of an event occurring.

In real life, we frequently have to make predictions about how things will turn out.

We may be aware of the result of an occurrence or not.

When this occurs, we state that there is a possibility that the event will occur.

In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence

The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.

We can use the formula for conditional probability to find P(A|B):

P(A|B) = P(A and B) / P(B)

Since A and B are independent events, we have:

P(A and B) = P(A) * P(B)

Substituting the given probabilities, we get:

P(A|B) = (0.60) * (0.20) / (0.20)

Simplifying, we get:

P(A|B) = 0.60

Therefore, P(A|B) = 0.60.

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Complete question -

A and B are independent events. P(A) = 0.60P, (B) = 0.20. What is P(A|B)?

After answering the presented question, we can conclude that Thus, equation   (7, 5) is not a solution to the equation 2x + y = 5.

An equation is a mathematical statement that validates the equivalent of two expressions joined by the equal symbol '='. For instance, 2x - 5 = 13. 2x-5 and 13 are two examples of expressions. The character '=' connects the two expressions. An equation is a mathematical formula that has two algebras on each side of an assignment operator (=). It demonstrates the equivalency link between the left and middle formulas. L.H.S. = R.H.S. (left side = right side) in any formula.  

To see if the point (7, 5) is a solution to the equation 2x + y = 5, we can plug x = 7 and y = 5 into the equation and see if it holds true.

Hence, when we substitute x = 7 and y = 5 into 2x + y = 5, we get:

2(7) + 5 = 19

Because 19 is not equal to 5, the point does not satisfy the equation 2x + y = 5. (7, 5).

Thus, (7, 5) is not a solution to the equation 2x + y = 5.

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The possible numbers of minutes he will run today 30 ≤ t ≤ infinity

If Charlie runs at least 6 laps today, the minimum number of minutes he will run is 6 laps multiplied by 5 minutes per lap, which is 30 minutes:

Minimum time = 6 laps x 5 minutes/lap = 30 minutes

For the maximum time he will run, we need to know if he runs any additional laps after the sixth lap. We don't have that information, so we'll assume he stops at 6 laps. In this case, the maximum time he will run is:

Maximum time = 6 laps x 5 minutes/lap = 30 minutes

So we know that Charlie will run between 30 minutes (if he only runs 6 laps) and 30 minutes (if he runs more than 6 laps). We can write this as an inequality:

30 ≤ t ≤ infinity

This means that the minimum time he will run is 30 minutes, and the maximum time is not defined, as it depends on how many additional laps he runs. Therefore, we use the infinity symbol (∞) to indicate that there is no upper bound on the time he will run.

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