15 kilograms of rice are separated equally into 4 containers. How many kilograms of rice are in each container? Express your answer as a decimal and as a fraction. Hint: Use the remainder to form fractions
We needa use fractions to solve this so help

Answer:

[tex]11\sqrt{3} + 5\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{108}+\sqrt{125} - \sqrt75}[/tex]

1. [tex]\sqrt{108} = 6\sqrt{3}[/tex]\

2. [tex]\sqrt{125} = 5\sqrt{5}[/tex]

3. [tex]\sqrt{75} = 5\sqrt{3}[/tex]

4.    Add [tex]6\sqrt{3} + 5\sqrt{3} = 11\sqrt{3}[/tex]

your left with [tex]11\sqrt{3}+5\sqrt{5}[/tex]

Answer:

12

Step-by-step explanation:

Answer:

d > - 7

Step-by-step explanation:

John is to have more then -7 dollars in his account by the end of this month.

Now,  the variable d is the number of dollars in John's bank account at the end of the month.

Therefore, the inequality in terms of d that is true only if John meets his monthly goal will be

d > - 7 (Answer)

Answer: the height of a flower in the field is 13.6 centimeters.

Step-by-step explanation:

Since the heights of different flowers in a field are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = heights of different flowers.

µ = mean height

σ = standard deviation

From the information given,

µ = 12.7 centimeters

σ = 2.3 centimeters

The z-score is 0.4

Therefore,

0.4 = (x - 12.7)/2.3

Cross multiplying by 2.3, it becomes

0.4 × 2.3 = x - 12.7

0.92 = x - 12.7

x = 0.92 + 12.7

x = 13.6 centimeters to the nearest tenth

Answer:

Nitrogen 7  = 1     ---- Most Basic

Nitrogen 1 =  2    

Nitrogen 3 =  3    ------ Least Basic

Step-by-step explanation:

The basicity of amino acids is as a result f the unshared pair of electrons in the Nitrogen atoms.

Part of the rule of basicity of organic compounds(amino acids) posits that:

The more  unstable an electron pair is, the more basic it is.

From the diagram attached below;

Nitrogen 7 posses and unstable electron due to the lone pair of electron in the NH₃⁺ which renders it most basic .

Nitrogen 1 and 3 are in ring form thereby they are less basic But nitrogen 1 is  more basic compared to nitrogen 3 because lone pair on Nitrogen 1 is not involved in resonance unlike Nitrogen 3 that is  resonance stabilized (i.e alternating by a resonance effect).

Another phenomenon to deduce the basicity of Histidine is the effect of hybridization.

Basicity of Organic Compounds increases with decreasing s character.

Therefore, the trend of basicity is as follows: sp³ > sp² > sp

Because in sp; the lone pairs are most stable, hence least basic

And in sp³; the lone pairs are least stable; hence most basic.

Therefore; From the diagram attached below:

Nitrogen 7  = 1     ---- Most Basic

Nitrogen 1 =  2    

Nitrogen 3 =  3    ------ Least Basic

Answer: Jumoke is currently 16 and Aminata is currently 8

Step-by-step explanation:

Could I get brainiest please? its free :D

Jumoke is 27 and Aminata is 11.

11 + 5 = 16

16 x 2 = 32

32 - 5 = 27

27 - 11 = 16

I tried. Correct me if I'm wrong.

Answer:

a) 7.54189*10^-8

b) 0.99999999

c) E ( X ) = 0.39 , s ( X ) = 0.604

Step-by-step explanation:

Solution:-

- We will assume the proportion of people with A- blood group is independent and remains constant for a fairly small sample of n = 6 Americans selected at random.

- We will denote a random variable X = The number of americans out of 6 that have blood group type A-.

- The random variable is assumed to follow binomial distribution.

- The probability of success is the proportion of people in U.S that have blood group type A-, p = 0.065:

                        X ~ Bin ( 6 , 0.065 )

Where, r represents the number of americans out of selected 6 have blood group A-. The pmf of a binomial variate is given as:

                       P ( X = r ) = nCr * ( p ) ^r * ( 1 - p ) ^ ( n - r )

a) Find the probability that all 6 are type A-

- We will pmf given above and set r = 6. And evaluate the resulting probability:

                     P ( X = 6 ) = 6C6 * ( p )^6 * ( 1  - p ) ^ ( 0 )

                                      = p^6

                                      = ( 0.065 )^6  

                                      = 7.54189*10^-8

b) Find the probability that at most 4 of them are type A-

- We will pmf given above and evaluate the following expression:

                     P ( X ≤ 4 ) = 1 - P ( X = 5 ) - P ( X = 6 )

                     P ( X ≤ 4 ) = 1 - 6C5 * ( p )^5 * ( 1  - p ) ^ ( 1 ) - p^6

                                      = 1 - 6*(0.065)^5 ( 0.935 ) - 0.065^6

                                      = 1 - 6.50923*10^-8 - 7.54189*10^-8        

                                      = 0.99999999          

c) Find the mean and standard deviation.

- The mean E ( X ) of the defined random variable distributed binomially is given by:

                     E ( X ) = n*p = 6*0.065 = 0.39 people

- The mean s( X ) of the defined random variable distributed binomially is given by:

                    s ( X ) = √n*p*q = √(6*0.065*0.935) = 0.604

Given:

The parent function is [tex]f(x)=x^2[/tex]

We need to determine the function g(x) created from the function f(x) by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units.

Shift left 9 units:

The rule to shift the graph c units to the left is given by

[tex]y=f(x+c)[/tex]

where c is the positive real number.

Hence, to shift the graph 9 units to the left is given by

[tex]f(x)=(x+9)^2[/tex]

Vertical stretch by a factor of 4:

The rule to stretch the graph vertically by a factor of c is given by

[tex]y=cf(x)[/tex]

where [tex]c>1[/tex]

Hence, to stretch the graph vertically by a factor of 4, we have;

[tex]f(x)=4(x+9)^2[/tex]

Shifting 5 units up:

The rule to shift the graph c units upward is given by

[tex]y=f(x)+c[/tex]

where c is the positive real number.

Hence, to shift the graph 5 units upward is given by

[tex]f(x)=4(x+9)^2+5[/tex]

Therefore, the function [tex]g(x)=4(x+9)^2+5[/tex] is created from the graph [tex]f(x)=x^2[/tex] by moving the graph left 9 units, vertically stretching it by a factor of 4 and shifting up 5 units.

Hence, the graph g(x) is [tex]g(x)=4(x+9)^2+5[/tex]

The function g(x) created from f(x) = x^2 by moving the graph left 9 units, vertically stretching it by a factor of 4, and shifting the graph up 5 units is g(x) = 4*(x+9)^2 + 5.

To generate the function g(x) from f(x) = x^2, you will perform several transformations on it:

So, after performing these transformations to f(x) = x^2, you get the function g(x) = 4*(x+9)^2 + 5.

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Answer:

2520°

Step-by-step explanation:

The sum of the angles in any triangle is 180°

shape. sides. triangles. sum int angles.

triangle. 180×1=180°

quad. 180×2=360°

pentagon. 180×3=540°

n-sides. n( n−2) 180(n−2)

16-sides. 180×14=2520°

Answer:

1250

Step-by-step explanation:

x^3*y^1

Let x = 5 and y = 10

5^3* 10^1

PEMDAS says powers first

125 * 10

Then multiply

1250

The equation of function which have vertical translation by 4 unit will be

             f(x)= 2x - 4

To understand more, check below explanation.

The equation of function is given as,

                                [tex]f(x)=2x[/tex]

If we have to shift graph of function a unit down. then required equation will be,   [tex]f(x)=2x-a[/tex]

If we have to shift graph of function b unit up. then required equation will be,   [tex]f(x)=2x+b[/tex]

We have to do vertical translation by 4 units down of the function f(x)=2x.

Hence, required equator will be [tex]f(x)=2x-4[/tex]

Learn more about the graph of function here:

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Answer:

12 (3.15 pound) containers.

Step-by-step explanation:

37.8 divided by 3.15 equals 12 (3.15 pound) containers.

Answer:

The speed of the wind is 32 mph and the speed of the plane in still air is 351 mph.

Step-by-step explanation:

Let the speed of the plane be Vp and the speed of the wind be Vw. In the first situation, the wind is exerting force towards the same direction as the plane so we can say that Vp + Vw = 383 mph. In the second situation, the forces are opposite of each other, so the equation can be written as Vp - Vw = 319 mph.

If we solve them together, we get the result of 2Vp = 702 mph which means that the speed of the plane is Vp = 351 mph. If we put Vp into one of the equations and solve for Vw then the speed of the wind can be found as       Vw = 32 mph.

I hope this answer helps.

Answer:

Answer:y = 1/4x -8Step-by-step explanation:First find the slope of the linex-4y =3Subtract x from each sidex-4y -x = -x+3-4y = -x+3Divide each side by -4-4y/-4 = -x/-4 +3/-4y = 1/4 x -3/4This is in the form y= mx+b where the slope is m and the y intercept is bThe slope is 1/4We want the same slopey = 1/4x +bwe know the y intercept is -8y = 1/4x -8.

Step-by-step explanation:

Answer:

the third answer is right

Step-by-step explanation:

its a rhombus because the 4 sides are of equal length and the opposite sides are parallel but there are no right angles.

The calculation of the circumference of a circle with a radius of 32 inches, using 3.14 for PI, gives a result of 201.0 inches.

The subject of this question involves calculating the circumference of a circle. The formula used to find the circumference of a circle is 2πr, where r is the radius of the circle. Here, π is approximated to 3.14 as given in the question, and the radius r is given as 32 inches.

Substituting the given values into the formula, we get circumference = 2 * 3.14 * 32 = 200.96 inches. Thus, the circumference of the circle to the nearest tenth is "201.0 inches."

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Answer:

b 25

Step-by-step explanation:

Answer:

A)-5 if its without parenthasis around 5+ 3

Step-by-step explanation

2 minus 3 is -1 and -1 times 5 is -5

Answer:

52 quarters

Step-by-step explanation:

-We know that a quarter dollar is equivalent to $0.25

[tex]\$1=4 \ Quarters[/tex]

-Given that Haley has $13, we multiply this amount by 4 since $1 has 4 quarters to obtain the number of quarters:

[tex]Q=13\times 4\\\\=52[/tex]

Hence, Hayley will get 52 quarters.

The difference in the number of their marbles is 28 Buah.

The ratio of Faiz's marbles to Bayu's marbles is given as 4:11. If the total number of marbles they have is 60, you can find the number of marbles each of them has.

Let x be the common multiplier for both parts of the ratio. Then, Faiz has  4x marbles, and Bayu has 11x marbles.

The total number of marbles is the sum of their marbles:

4x + 11x = 60

Combine like terms:

15x = 60

Divide by 15 to find x :

x = 4

Now, substitute x back into the expressions for Faiz and Bayu's marbles:

- Faiz's marbles: [tex]\( 4x = 4 \times 4 = 16 \)[/tex]

- Bayu's marbles: [tex]\( 11x = 11 \times 4 = 44 \)[/tex]

The difference in the number of their marbles is [tex]\( 44 - 16 = 28 \)[/tex].

So, the correct answer is: C. 28 Buah

Complete question:

Perbandingan kelereng Faiz dan Bayu 4:11. Their total color is 60. The best color of them is ...

16 pieces

24 pieces

28 pieces

44 pieces

Answer:

Should be 480.

149 : 1 is the odds against your winning the boat.

Step-by-step explanation:

It is given that,

The winner of a raffle will receive a​ 21-foot outboard boat.

The odds against any event is the ratio of the unfavorable outcomes to the favorable outcomes.

The number of possible outcome that you will win ⇒ 20

The number of possible outcomes that others wins ⇒ 3000-20 = 2980

To find the odds against your winning the​ boat :

Number of possible outcomes that one of the others wins : Number of possible outcome that you will win.

⇒ 2980 : 20

⇒ 149 : 1

Therefore, the odds against your winning the boat is 149 : 1

Answer:

C) 1/12

Step-by-step explanation:

P(2) = 1/6

P(Tail) = 1/2

1/6 × 1/2

1/12

Answer: -72

Step-by-step explanation:

[tex]-3(k^2+2n)\\-3((-4)^2+2(4))\\-3(16+8)\\-3(24)\\-72[/tex]

Answer: the population of the culture 6 days after inoculation is 2313.

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the population after t days.

t represents the number of days.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 1000

r = 15% = 15/100 = 0.15

t = 6 days

Therefore

y = 1000(1 + 0.15)^6

y = 1000(1.15)^6

y = 2313

"more" means added to, or addition. So 8 more than 'x' is:

x + 8

Answer:

10π feet, or about 31.42 feet

Step-by-step explanation:

Diameter = 2 times radius, so the radius is 5 feet.

The question is asking us for the circumference - the distance around the circle. Plug our radius into the formula.

C = 2πr

C = 2π(5)

C = 10π feet = about 31.42 feet

Answer:

20 Pi feet or 62.8318530718 ft

Step-by-step explanation:

Find the circumference

Pi X diameter

radius = 1/2 diameter

radius *2 = 20

20 * Pi

Answer:

71

Step-by-step explanation:

because the theorem is sum of the square

The answer is d. hypotenuse.

Here's why:

The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (the legs).

So, if you have a right triangle with legs of length a and b, and hypotenuse of length c, the equation would be: a^2 + b^2 = c^2.

Therefore, the sum of the squares of the legs (a^2 + b^2) is equal to the square of the hypotenuse (c^2).

The other options are incorrect because:

a. shorter leg: The theorem doesn't differentiate between the lengths of the legs, it simply states that the sum of their squares is equal to the square of the hypotenuse.

b. longer leg: Same as above, the theorem doesn't consider the individual lengths of the legs, just their squares.

c. sum of the angles: The Pythagorean Theorem deals with the sides of a right triangle, not its angles. The sum of the angles in any triangle is always 180 degrees.

Complete Question:

In the Pythagorean Theorem, the sum of the squares of the legs is equal to the square of the

a. shorter leg

b. longer leg

c. sum of the angles

d. hypotenuse

Constructing a frequency distribution table for visitor numbers with a range of 29 to 73 and class intervals of 10 provides a clear overview, facilitating analysis and interpretation of the data.

Construct a frequency distribution table for the given data, with explanations:

1. Find the range of the data:

The lowest number of visitors is 29.

The highest number of visitors is 73.

The range is 73 - 29 = 44.

2. Determine the appropriate class intervals:

Choose a class interval width that will create a reasonable number of classes, typically between 5 and 10.

Consider the range of the data and aim for intervals that are easy to interpret.

In this case, a class interval width of 10 would be suitable, resulting in 5 classes:

29-38

39-48

49-58

59-68

69-78

3. Create the table:

Draw a table with three columns:

Class Interval

Tally (optional)

Frequency

4. Tally the data (optional):

Go through each data point and mark a tally mark in the appropriate class interval. (This is helpful for visual counting, but not strictly necessary.)

5. Count the frequencies:

Count the number of data points that fall into each class interval and record those numbers in the frequency column.

Complete question:

The number of visitors to the Railroad Museum during 24 randomly selected hours is shown here. 67 62 38 73 34 43 72 35 53 55 58 63 47 42 51 62 32 29 47 62 29 38 36 41 The error in the data is 1. a) Construct a frequency distribution table

Answer:

cot θ = 24/7

Step-by-step explanation:

This will be difficult to explain without a diagram, but let's proceed.

Since sec θ = 25/24 (secant θ is equal to hypotenuse/adjacent) the hypotenuse of the triangle is 25 and the side adjacent to θ will be equal to 24. To find the opposite side-length you can use the Pythagorean theorem.

25^2 = 24^2 + a^2    (You can use either a or b as the variable)

625 = 576 + a^2    (Subtract 576 from each side)

a^2 = 49

a = 7    (The sqrt of 49 is 7    |    This is the side-length of the opposite side relative to θ)

Since cotangent is always adjacent/opposite:

cot θ = 24/7