The weights of 9-ounce bags of a particular brand of potato chips can be modeled by a normal distribution with mean μ = 9.12
ounces and standard deviation = 0.05 ounce.
What bag weight is at the 84th percentile of the distribution?
Use the empirical rule and do not round.
ounces

Answer:

24 , 12x12 = 144. , 144/6 =24

The probability that all four chosen balls are red is 14/6075.

Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an improbable event and 1 denotes an inevitable one.

Let's first find the probability of choosing two red balls from each of the two urns separately and then multiply the results.

The probability of choosing two red balls from urn 1 is:

P(2 red balls from urn 1) = (7/10) * (6/9) = 7/15

Similarly, the probability of choosing two red balls from urn 2 is:

P(2 red balls from urn 2) = (2/10) * (1/9) = 1/45

And the probability of choosing two red balls from urn 3 is:

P(2 red balls from urn 3) = (5/10) * (4/9) = 2/9

Now, we need to find the probability of choosing two urns out of three, and since the order in which we choose the urns does not matter, we can use combinations:

Number of ways to choose two urns out of three = C(3, 2) = 3

Therefore, the probability of choosing two urns out of three is 3/3 = 1.

Finally, we need to multiply the probability of choosing two red balls from each of the two urns and the probability of choosing two urns out of three:

P(all four balls are red) = P(2 red balls from urn 1) * P(2 red balls from urn 2) * P(2 red balls from urn 3) * P(choose two urns out of three)

= (7/15) * (1/45) * (2/9) * 1

= 14/6075

Therefore, the probability that all four chosen balls are red is 14/6075.

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The resultant vector makes a 6.3-degree angle with the horizontal force, the correct option is A.

The resultant angle between the vectors is given by

\(\rm \theta = tan^{-1} \dfrac{B sin\theta}{A +B cos\theta}\)

The two forces have magnitude of 17.3 and 42.5 pounds.

The angle of the resultant vector is

\(\rm \rm \theta = tan^{-1} \dfrac{17.3\; sin\; 21.9}{42.5 +17.3 cos\;21.9}\)

\(\rm \theta = tan^{-1}\) (6.453/58.55)

\(\rm \theta\) = 6.2886 degree = 6.3 degree.

Therefore, the resultant vector makes a 6.3-degree angle with the horizontal force.

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Answer:

6.3 on edge

Step-by-step explanation:

2x:3y=4:8 is correct because it states that for every 2 units of x, there are 3 units of y, so the ratio of x to y is 4:8.

A. 2x:4y=4:8

B. 4x:2y=2:4

C. 4x:2y=4:8

D. 2x:4y=2:4

E. 3x:2y=2:4

F. 2x:3y=4:8

B, C, F

B. 4x:2y=2:4 is correct because it states that for every 4 units of x, there are 2 units of y, so the ratio of x to y is 2:4.

C. 4x:2y=4:8 is correct because it states that for every 4 units of x, there are 2 units of y, so the ratio of x to y is 4:8.

F. 2x:3y=4:8 is correct because it states that for every 2 units of x, there are 3 units of y, so the ratio of x to y is 4:8.

the complete question is :

Kiesha and her classmates wrote proportions for the reduction of a triangle. Which proportions are set up correctly? select three options.

A. 1/2:2/3:3/4

B. 3/2:2/3:1/4

C. 1/2:2/4:3/6

D. 1/4:2/3:4/5

E. 2/3:3/4:4/5

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2x:4y=4:8

B. 4x:2y=2:4

C. 4x:2y=4:8

D. 2x:4y=2:4

E. 3x:2y=2:4

F. 2x:3y=4:8

B, C, F

B. The formula 4x:2y=2:4 is accurate because it says that there are 2 units of y for every 4 units of x, making the x:y ratio 2:4.

C. 4x:2y=4:8 is true because it says that there are 2 units of y for every 4 units of x, making the x:y ratio 4:8.

F. 2x:3y=4:8 is true because it says that there are 3 units of y for every 2 units of x, making the x to y ratio 4:8.

Answer:

Shop B has a better value for their baked beans.

Step-by-step explanation:

Shop A:

5 kg = 5.65

1 kg = 5.65 / 5

= 1.13 pence

Shop B:

2 kg = 2.02

1 kg = 2.02 / 2

= 1.01 pence

Answer:

\(Amount = 17820\)

Step-by-step explanation:

Given

\(Son = 324\)

\(Daughter = 220\)

Required [Missing piece]:

Least he can give each

To do this, we simply calculate the LCM of 324 and 220.

\(324:=> 2*2*3*3*3*3\)

\(324:=> 2^2*3^4\)

\(220:=>2 * 2*5*11\)

\(220:=>2^2*5*11\)

So, the LCM is:

\(LCM = 2^2 * 3^4 * 5 * 11\)

\(LCM = 17820\)

Hence, the least amount he can give each is: #17820

Answer:

100

Step-by-step explanation:

10 + 45*2

10 + 90

100

Answer: it's 100

Step-by-step explanation:

The diameter of the circle pen for the sheep of the farmer is 68 yards.

The total length of the fencing used for the preparation of the fencing for sheep is 213.52 yards.

Thus,

circumference = 213.52 yards

The formula for the calculation of the circumference of circle is,

circumference = 2πr,

In which,

π = 3.14  and radius r.

Thus,

213.52 = 2πr

r = 213.52 / 2π

r = 34

Diameter = 2 x radius

Diameter = 2 x 34

Diameter = 68 yards.

Thus, the diameter of the circle pen for the sheep of the farmer is 68 yards.

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that is the quadratic formula - \(x=\frac{-b +/-\sqrt{b^{2}-4ac } }{2a}\)

Answer:

Si x = 5, alors x + 3 = 5 + 3 = 8.

Si x = 3, alors 2x - 1 = 2(3) - 1 = 6 - 1 = 5.

Si x = -2, alors 3 + 5x = 3 + 5(-2) = 3 - 10 = -7.

Answer:

Step-by-step explanation:

Start by plugging in the x values -2, -1, 0, 1, and 2 into the equation to receive the y values.

For example, the first point on the table would be y=(-2)-2, or (-2, -4). Continue plugging in the points for all the points on the table

Answer:47.8125kg

Step-by-step explanation:

x: previous weight

x = 45+45x6.25% = 47.8125

The correct system of inequalities with a solution point represented by the graph is:

y > 2x – 2 and y < Negative one-half x + 1; (–3, 1)

To see why, we can plot the points given in each of the answer choices and see which one matches the graph:

Choice 1: (3, 1) is not on the shaded region of the graph, so this is not the correct answer.
Choice 2: (–3, 1) is on the shaded region of the graph, so this is a possible solution.

Let's check the other inequality to make sure it's also true: -1 < (-1/2)(-3) - 1. Simplifying, we get -1 < 2.

This is true, so we have a detailed solution.
Choice 3: (3, 1) is not on the shaded region of the graph, so this is not the correct answer.
Choice 4: (–3, 1) is on the shaded region of the graph, but the other inequality y > 2x + 2 is not true at that point. 1 is not greater than 2(-3) + 2 = -4, so this is not the correct answer.

Therefore, the detailed solution is: y > 2x – 2 and y < Negative one-half x + 1; (–3, 1)

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The conclusion that can be drawn is that angle AOZ  and XOB are approximately equal.

We are given that WOA and AOZ are equal, and since the AB intersects the line WY and XZ, were from the vertical angles theorem. This hypothesis says that when two straight lines meet, they frame two sets of linear sets with congruent angles.

Then angle WOZ and XOY are  equal and XOW and YOZ are too. Now since the Ab intersects those angle on point A and by the transitive property if any angles or segments are congruent to the same angle, at that point they are consistent to each other.

According to which it was clear that both the angle BOY and XOB are approximately equal, there vertical angle which are angles WOA and AOZ are equal  to them,.

So it can be concluded that the angle AOZ and XOB are equal too.

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Answer:

C

Step-by-step explanation:

There are many ways to figure it out but if you multiply by 20 each you'll get 40/100=40%

Answer:

c: 2/5

Step-by-step explanation

40% ÷10= 4÷2=2

100%÷10=10÷2=5

So you do 40% over 100% and divide both by 10 then simplify it and 2 goes into both 4 and 10 so you divide by 2 and get 2/5

Answer: the first one is the correct answer sir, I hope I helped you out a bit.

Step-by-step explanation:

Answer:

25 degrees

Step-by-step explanation:

120-95=25

Answer:

Mean = 43.969

Standard deviation = 12.341

Step-by-step explanation:

Given the data :

36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 38.9, 50.06

The sample mean :

Σx / n = 351.75 / 8 = 43.969

Sample standard deviation :

√Σ(x - mean)²/n-1

√[(36.45-43.969)² + (67.90-43.969)² + (38.77-43.969)² + (42.18-43.969)² + (26.72-43.969)² + (50.77-43.969)² + (38.9-43.969)² + (50.06-43.969)² ] / ((8 - 1)

Standard deviation = 12.341

Answer:

56

Step-by-step explanation:

Take 70 and multiply 80%

70 × 80/100 = 56

By applying Algebraic fractions simplifying concept, it can conclude that the simplified expression is - (9p + 3) / q.

Algebraic fractions simplifying can be done by factoring the quantifier and denominator, then dividing by the common factors of the quantifier and denominator.

We have the following algebraic fraction:

((9p² - 1) / (pq - 2q)) / (1 - 3p) / (3p - 6)

To simplify this expression, we will do the following steps:

First, we apply the division rule: (a/b) / (c/d) = ad / bc:

    ((9p² - 1) / (pq - 2q)) / (1 - 3p) / (3p - 6)

⇔ ((9p² - 1) (3p - 6)) / ((pq - 2q) (1 - 3p))

Then we find the factors of (9p² - 1), that are (3p - 1) (3p + 1):

⇔ ((3p - 1) (3p + 1) (3p - 6)) / ((pq - 2q) (1 - 3p))

Factor other expressions that are not already factored in:

⇔ ((3p - 1) (3p + 1) 3 (p - 2)) / (q (p - 2) (1 - 3p))

Now we cancel the common factor (p - 2), so we have:

⇔ (3 (3p - 1) (3p + 1)) / (-q (3p - 1))

Then we cancel the common factor (3p -1), so we have:

⇔ (3 (3p + 1)) / -q

Finally, we expand the expression:

⇔ - (9p + 3) / q

Thus the simplified expression is - (9p + 3) / q.

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dependant variable: distance in meters

independant variable: time in seconds

i hope i helped.

The dependant variable are the distance in meters, and the independant variable are the time in seconds.

If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable. The variables who take their values based on some other variables' values are called dependent variables.

Given Distance to travel = 20 m.

We need to determine the time, t, that each participant took to complete 20 m.

Barbara:

Average speed = (3 m)/(2 s)

= 1.5 m/s

Time = t = 20/1.5 = 13.3 s

Mark;

t =  5 s

Carlos;

y = x + 1

where, y = 20 m and x = time, t

Therefore,

t =x = y - 1 = 20 - 1 = 19 s

Summary;

Barbara:  13.3 s

Mark:       5 s

Carlos:     19 s

Hence, The winner is Mark.

The dependant variable are the distance in meters, and the independant variable are the time in seconds.

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Answer:

The 1st option

Step-by-step explanation:

Remember BPEMDAS

B - Brackets

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

She has to first multiply and distribute first, not add. Adding comes last.

The true statement for the relation is, the order of rows is unimportant.

What is row and column?

A row is an arrangement of items that are put next to or horizontally. A vertical split of items based on category is known as a column. The arrangement is in a left to right direction. The set-up is vertical, from top to bottom.

A table's rows are individual groups of connected data. Rows and columns are found in tables in relational databases (also known as records and fields, respectively).

Consider the given statements,

Entities in a column vary as to kind.

The order of the columns is important.

The order of the rows is unimportant.

More than one column can use the same name.

From the given statements, the true statement for the relation is, the order of rows is unimportant.

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

753.6 cubic units

Step-by-step explanation:

A collar of Styrofoam is made to insulate a pipe. Find its volume. The large radius R is to the outer rim. The small radius r is to the edge of the insulation. Use pi ≈ 3.14 r=2 R=4 h=20

The volume of the pipe formula is given as:

Use pi ≈ 3.14 r=2 R=4 h=20

Volume =h × π (R² -r²)

Volume =20 × 3.14 × (4² - 2²) cubic units

Volume = 62.8 × ( 16 - 4) cubic units

= (62.8 × 12 )cubic units

= 753.6 cubic units

Answer:

subtract 42 - 7

Step-by-step explanation: u always solve the parenthesis first

Answer:

√x=√25.......x=5

Step-by-step explanation:

√25-5=0

5-5=0

Answer:

√x-5=0

√x=5

squaring both side

√x²=5²

x=±25

Examining the figures of the circles, the values for x is calculated to be

11. x = 8

12. ED = 11

The value of x in the two figure is solved using the relationship between secant and angle measures

11. The formula used here is

(2x + 7) = 0.5 * (78 - 32)

(2x + 7) = 0.5 * (46)

2x + 7 = 23

solving for x

2x = 23 - 7

2x = 16

x = 8

12.

11x - 9 = 0.5 ( (15x-39) - (9x-3) )

11x - 9 = 0.5 ( 15x - 39 - 9x + 3 )

11x - 9 = 0.5 ( 6x - 36 )

11x - 9 = 3x - 18

11x + 3x = -18 + 9

14x = -9

x = 14/9 = 1.56

solving for

ED = 9x - 3 = 9 * 14/9 - 3 = 14 - 3 = 11

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