If 30 articles cost rs 300,then the cost of 1 article is _____​

The heaviest 10% of fruits weigh more than 814.79 grams.

The problem setup implies that the weight of this fruit is a random variable when it says a particular fruit's weights are normally distributed.

Define X = Random Variable of the fruit's weight

\(X \sim N(mean = 760, standard deviation = 39)\)

We want to find the specific gram value for which 8% of the fruits are heavier

The 92nd percentile of X's normal distribution

\(Solve for x: Pr( X < x ) = Normal( 760, 39 ) CDF = .92\)

Standardizing we obtain

\(Pr( [X - 760]/39 < [x - 760]/39 ) = Pr( Z < [x - 760]/39 ) = .92,\)

where Z is a standard normal random variable

\(Pr( Z < [x - 760]/39 ) = Standard \ Normal \ CDF( [x - 760]/39 )\)

==> Set this equal to .92:

\(Standard \ Normal \ CDF( [x - 760]/39 ) = .92\)

Then, from the standard normal table:

\([x - 760]/39 = Inverse Standard Normal\)

\(CDF( .92 ) = 1.405\)

Use algebra to solve for x:

\(x = 39 * 1.405 + 760 = 814.795\)

Therefore the heaviest 10% of fruits weigh more than 814.79 grams.

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The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.

Let's assume the length of the rectangle is 'l' and the width is 'w'.

From the given data, we know that each gate is 4 m wide.

Therefore, the width of the rectangle is:

Width = w + (4 m + 4 m) = w + 8 m

The perimeter of the rectangle is:

P = 2l + 2(w + 8 m) = 2l + 2w + 16 m

Now, we need to subtract the combined length of the two gates from the perimeter:

P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m

So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

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Answer:

jc is 40 i think

Step-by-step explanation:

Answer:

40(Maybe)

Step-by-step explanation:

I'm not 100% sure that 40 is correct but I'm pretty sure it is.

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer:

(0, 7), (1, 11), (2, 15)

Step-by-step explanation:

to find the y values, plug in the given x values into the equation y= 4x+7

when x = 0

y = 4(0) + 7

y = 0 + 7

y = 7

so the y value that corresponds to the x value 0 is 7 which is also written as (0,7)

when x = 1

y = 4(1) + 7

y = 4 + 7

y = 11

so the y value that corresponds to the x value 1 is 11; also written as (1, 11)

when x = 2

y = 4(2) + 7

y = 8 + 7

y = 15

so the x value 2 corresponds to the y value 15; also written as (2 , 15)

hope this helps

Answer:(0, 7), (1, 11), (2, 15)

Step-by-step explanation:

The amount of fiber needed in a day is 7.98 grams

Proportions are parts, in comparative relation to a whole.

In other words, proportions are fractions of a larger dataset

The given parameters from the question are given as:

The amount of fiber needed in a day is the product of the proportion and the size of the daily serving.

So, we have:

\(Amount = 57\% \times 14g\)

\(Amount = 7.98g\)

Hence, the amount of fiber needed in a day is 7.98 grams

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Answer:

I think that it is C

Step-by-step explanation:

Number of more bags must she sell during the remainder of the month to earn commission is,

⇒ 3

We have to given that;

Betty works in a shop that sells leather bags.

And, She earns commission, but only after the first 10 bags she sells in a month.

We know that;

In arithmetic, the term "subtraction" refers to the process of removing something from a set of items or a collection of things. What is left in the group decreases as a result of subtraction.

Since, she has already sold 7 bags this month

And, For commission she has to sell 10 bag in a month.

Hence, Number of more bags must she sell during the remainder of the month to earn commission is,

⇒ 10 - 7

⇒ 3

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a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c) . A 90% confidence interval would be wider than the 95% interval

To verify the Central Limit Theorem (CLT) conditions, we need to check the following:

1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.

2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.

3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.

Therefore, the Central Limit Theorem conditions are met.

b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:

CI = p ± z * √(p(1-p)/n)

where:

- p is the sample proportion (82% or 0.82 in decimal form).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.

- n is the sample size (800).

Calculating the confidence interval:

CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)

CI = 0.82 ± 1.96 * √(0.82*0.18/800)

CI = 0.82 ± 1.96 * √(0.1476/800)

CI = 0.82 ± 1.96 * √0.0001845

CI ≈ 0.82 ± 1.96 * 0.01358

CI ≈ 0.82 ± 0.0266

The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.

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Answer:

105 nickels because nickels are 5 cents and quarters are 25 cents so then 4 quarters is a dollar 50 nickels are a dollar and she has 2 dollars so then she has 7 quarters but then were looking for nickels so therefore, 50+50 nickels = 2 dollars and 25 cents = 5 nickels so then  50+50+5 = 105 nickels

Step-by-step explanation:

Step-by-step explanation:

1.

2×sqrt(10) = 6.32455532...

sqrt(36) = 6

2 2/5 = (10 + 2)/5 = 12/5 = 2.4

6.1222222222...

so, the order

2 2/5 6 6.12222... 6.32455...

3.

-sqrt(25) = -5

-4.2

sqrt(5)/6 = 0.372677996...

7/2 = 3.5

so, the order

-sqrt(25) -4.2 7/2 sqrt(5)/6

5.

the numbers are all there already.

so, the order

-3.1 -2.1 1.4 2.7

when you look at the number lines, when your mark the numbers, you will see it clearly.

be careful with the negative numbers : "bigger" is actually smaller (more to the left).

-4.2 is left of -4 ! going in the directing of -5.

-3.1 is left of -3 ! going in the direction of -4.

-2.1 is left of -2 ! going in the direction of -3.

The length of shorter side is 2.8 inch.

We have,

A rectangular room is 28 feet by 32 feet.

The Perimeter of scale drawing of room is 12 inches.

So, the perimeter of room

= 2(l +w)

= 2(28+ 32)

= 2(60)

= 120 feet

So, the scale factor is

= 120 / 12

= 10 inches

Thus, the length of shorter side is

= 28/10

= 2.8 inch

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Answer:

(0,4)

Step-by-step explanation:

Answer:

(4,0)

(x,y)

Step-by-step explanation:

Answer:

A maybe?

Step-by-step explanation:

by looking at the graph you can see there are two points with one being at (0, 3) (given) and the other being at (1, 1) (by looking at the graph). You can use the slope formula (y2 - y1) / (x2 - x1) which gives you the slope.

Plug Values In:

(1-3) / (1-0) = -2/1 = -2

slope of f(x) = -2

slope of g(x) = -7 (slope-intercept form y=mx+b where m is the slope and b is the y-intercept)

I'm honestly not quite sure what it means by greater than since technically the slope of f(x) is greater than the slope of g(x) but does it mean how much it's changing by in which case the sign doesn't matter. Although I'm just going to assume it purely means the value in which case A is true.

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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A line of best fit for this problem is y = 5.08x + 46.59. The number of ice cream cones that you would expect the shop to sell if the temperature one day is 106 degrees is; 585 cones

A graph of the scatter plot and line of best fit is as shown in the attached file.

The temperature in this problem is the independent variable, or x.  This is due to the fact that we are assuming that the particular number of ice cream cones sold will depend on the temperature. Therefore, we can say that the number of ice cream cones will be the dependent variable, or y.

Therefore in our graphing calculator, we will enter temperature in the first list and then the number of cones in the second.

Sequel to drawing the scatter plot, we run the linear regression; we get the values for a and b in our equation, y = ax + b:

a = 5.08

b = 46.59

Therefore, the equation is;

y = 5.08x + 46.59.

Entering our temperature of 106 degrees, for x gives;

y = 5.08(106) + 46.59

= 585.07

≈ 585

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Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

Answer: 9

Step-by-step explanation:

if x is 15 and y is 6, then the equation is 15 - 6, which is 9.

Answer:

its 9

Step-by-step explanation:

Substitute x for 15 then y for 6 subtract then it equals 9

Answer:

24

Step-by-step explanation:

Volume to fill =  1 x 2 x 3/2 = 3  cm^3

Volume of cube to fill this volume  1/2 * 1/2 * 1/2 = 1/8 cm^3

3/ (1/8) = 24

The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments

Degree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45

Mean squares between groups is calculated as follows:

Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58

Mean squares within groups is calculated as follows:

Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places

F ratio is calculated as follows:

F= Mean squares between groups/Mean squares within groups

= 58/8.89

= 6.524184477

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5000

Measurements can be given in multiple units. Unit conversion is important, especially when dealing with formulas because sometimes only specific units work.

Metric System

In this case, the question is asking about kilometers (km) and meters (m), both of which are in the metric system. Unit conversions are easier in the metric system because it uses prefixes that give you extra information. Each of the prefixes means a different number.

These are not all of the possible prefixes, but they are the most common. This means that a decameter represents 10 meters and 1 millimeter is 1/1000 of a meter.

Conversion

Using the prefixes above, we can tell that 1 kilometer is 1000 meters. So, we can multiply whatever amount of kilometers we have by 1000. This will gives the number of meters.

Thus, 5 km = 5000 m.

Answer:

PN: 15

QP: 15

Step-by-step explanation:

if QN is 30 and P is in the middle of N and Q then the distance from P must be 15

The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

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The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

Answer:

ouhnewu0h8coehuqnce0nuqfenueqnuqwe0nu8iquenw

Step-by-step explanation:

uieqnueru0njfqenu0fqenuen0rue0fuinfuine0

Answer:

2/3 / 1/6

4/6 / 1/6

1/6 can go into 4/6 4 times. the answer is C; 4

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

3x+1+4x-3 = 103

7x = 105

x = 15

Answer:

Have you tried going halfway between the numbers?

Answer:

168,  336,  672

Step-by-step explanation:

Calculate the midpoint of the two numbers, example,

112 + 224 = 336

336/2 = 168

168 is the midpoint

Answer:

  B.  False

Step-by-step explanation:

You want to compare the lateral surface areas of a cone and cylinder, where the slant height of the cone is twice the height of the cylinder. Your proposition is that the cone's lateral area is half that of the cylinder.

Effectively, the lateral area of a cone is the area of a triangle whose base is the circumference of the cone, and whose height is the cone's slant height. The formula for the lateral area of a cone of radius r and slant-height s is ...

  A = πrs

For the given dimensions (s=2h), the lateral area is ...

  A = πr(2h) = 2πrh

The lateral area of a cylinder is the area of a rectangle whose base is the circumference of the cylinder, and whose height is the cylinder's height. The formula for the lateral area of a cylinder of radius r and height h is ...

  A = 2πrh

The lateral areas of the given figures are both 2πrh, so one is not half the other.

The proposition is False.

The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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The radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

By using the expression to approximate the radius of a circle, we want to compare the radius of the two pools.

The expression for the radius of a circle is:

R = √(A/3)

Where A is the area of said circle.

The circular kiddie swimming pool has an area of 28ft^2, we just replace that in the above expression to get:

R =  √(28 ft^2/3) = 3 ft

The full-sized pool has an area of 113 ft^2, then its radius is:

R' = √(113 ft^2/3) = 6 ft

To see how much greater is the radius of the full-sized pool than the radius of the kiddie pool, we just take the quotient:

R'/R = 6ft/3ft

= 2

Hence, the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

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