A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 8 large boxes and 3 small boxes has a total weight of 187 kilograms. A delivery of 2 large boxes and 5 small boxes has a total weight of 102 kilograms. How much does each type of box weigh?

Answer:

P(X<65)=0.9452

Step-by-step explanation:

This is a normal distribution problem.

-Given the mean age is 53 years and the standard deviation is 75, the probability of dying before age 65 is calculated as:

[tex]z=\frac{\bar x-\mu}{\sigma}\\\\\\=\frac{65-53}{7.5}\\\\=1.60[/tex]

#We check the value of z=1.60 on the z table:

[tex]P(X<65)=0.5+0.4452\\\\=0.9452[/tex]

Hence, the probability of dying before 65 is 0.9452

the probability that the person will die before the age of 65 is 0.9452.

[tex]P(X<65 ) = P[(X- \mu ) \div \sigma < (65 -53) \div 7.5][/tex]

= P(z <1.6 )

Now here we Using z table

So,  

= 0.9452

Learn more: https://brainly.com/question/25914450?referrer=searchResults

Answer:

3 miles

Step-by-step explanation:

The circumference of a circle can be found using:

c=[tex]\pi d[/tex]

We know the circumference is [tex]3\pi[/tex], so we can substitute that in for c

[tex]3\pi[/tex]=[tex]\pi d[/tex]

We want to find the diameter. To do this, we need to get d by itself. It is being multiplied by pi. To undo this, divide both sides by pi. This will cancel pi, and leave d by itself.

[tex]3\pi /\pi =\pi d/ \pi[/tex]

3=d

So, the diameter is 3 miles

Answer:

Diameter is 3

Step-by-step explanation:

C=2πr

3π = 2πr

3π / 2π = r  (Divide each side by 2π)

3/2 = r   (Simplify π)

3/2 *2 = d  (d = 2r)

d = 6/2 = 3

Answer:d

Step-by-step explanation:

Clearly from observation option D is the exponential sequence

256,64,16,4 is decreasing exponential function

[tex]\Rightarrow \frac{256}{64}=\frac{4^4}{4^3}=4[/tex]

[tex]\Rightarrow \frac{64}{16}=4[/tex]

for other option they simply follow an AP

2,6,10,14,18

common difference d=4

Answer:

A= 1/2 Bh

1/2 (12)(10.4)

A=62.4

V= 62.4x19= 1185.6

Final answer is 1185.6

Step-by-step explanation:

You first need to find the area of the Prism than multiply with the height.

The solution is, Correct option D) 1,185.6 inches cubed, is the volume of the triangular prism.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

given that,

A triangular prism. The triangular base has a base of 12 inches and height of 10.4 inches. The height of the prism is 19 inches.

We need to find  the volume of the triangular prism .

Let's find out:

We have following parameters :

b = 12

h = 10.4

l = 19

now, we know,

A= 1/2 Bh

so, we have,

A = 1/2 (12)(10.4)

A=62.4

We know that , Volume of triangular prism is :

⇒ V = 1/2 * bh* l

       = A * l

so, we get,

V= 62.4x19

  = 1185.6

Final answer is 1185.6

Hence, The solution is, Correct option D) 1,185.6 inches cubed, is the volume of the triangular prism.

To learn more on volume click :

brainly.com/question/1578538

#SPJ3

[tex]8y - 72 = 8 \times y - 8 \times 9 = \\ = 8 \times (y - 9) = 8(y - 9)[/tex]

Answer:

A

Step-by-step explanation:

A trail would consist of three random digits.

The problem asks for the probability that it will take at least a sample of four to find one person with brown hair. This implies that the first three people do not have brown hair. Therefore, a trial would consist of three random digits. A success is none of the three digits are 0, 1, 2, or 3. For example, 675 would be a success and a failure would be 792.

Answer:

A

Step-by-step explanation:

USA testprep said...

A trail would consist of three random digits.

The problem asks for the probability that it will take at least a sample of four to find one person with brown hair. This implies that the first three people do not have brown hair. Therefore, a trial would consist of three random digits. A success is none of the three digits are 0, 1, 2, or 3. For example, 675 would be a success and a failure would be 792.

To solve the equation -3/13 - 2/5, find the common denominator, convert both fractions and then subtract them. The answer is -41/65.

The question asks to solve the equation -3/13 - 2/5. To solve this, we need to find a common denominator for the fractions, which in this case is 65. We then convert each fraction to have this common denominator and subtract them.

Here is the step-by-step solution:

The answer to the equation is -41/65.

Answer: 12,045 boxes

Step-by-step explanation:

120,450 divided by 10

= 12,045

Answer:

12,045

Step-by-step explanation

If you need to ship 120,450 soda divide that by 10 (the number of cans in a box) and that gives you 12,045.

Answer:

0.256 or 0.26

Step-by-step explanation:

The common ration is being multiply by 0.4

Answer:

there are infinite many solutions.

Step-by-step explanation:

i have taken this before

Answer:

D

Step-by-step explanation:

V= (3.14)x(2²)x(24)= 301.592 ft³

Answer:

96π ft^3 or  301.59 ft^3 to the nearest hundredth.

Step-by-step explanation:

Volume =  π r^2 L         (r = radius L = length).

=  π * 2^2 * 24

= 96π ft^3.

Exact answer = 64 - 16pi

Approximate answer = 13.7345175425633

Units for the area are in square inches.

==============================================================

Work Shown:

The radius of each circle is 2 inches. Double this value to get the diameter to be 4 inches.

Two circles along the top have their diameters combine to 8 inches total, which is the side length of the square.

The area of the entire square, before we subtract off the circles, is 8^2 = 64 square inches.

Let A = 64

The area of one circle is pi*r^2 = pi*2^2 = 4pi square inches. Four circles combine to an area of 4*4pi = 16pi square inches.

Let B = 16pi

Subtract A and B to get the area of the shaded region, which is the leftover area after subtracting off the four circles

A-B = 64-16pi

To get the approximate answer, use a calculator

64-16pi = 13.7345175425633

Answer:

37.68

Step-by-step explanation:

C=2[tex]\pi[/tex]r

C=2*6*3.14

C=12*3.14

C=37.68

Answer:

C = 2 π r

Step-by-step explanation:

2*3.14*6=37.69911=37.7

the answer is 37.7

Answer:

one angle is 150 degrees and the other is 30 degrees.

Step-by-step explanation:

please kindly check the attached file for explanation.

Answer:

I think, one angle is 150 and the other 30.

Step-by-step explanation:

First, you can make a table of 3 columns: Angle 1, Angle 2 and Total

Then, you will work with the ratio 5:1 and say

Angle 1    Angle 2     Total

5               1                 6

Then you do a little algebra process like this:

6a=180

6 x a /6= 180 / 2

a=30

6a=180

6 x a / 6=180/2    This means 6 times a divided by 6= 180 divided by 2. We insolate the variable, and we cross out the two six

a=30 And our answer is 30.

You can choose any variable. In this case I did with the variable a since we are talking about angles.

Returning to the table, the thing we need to do is this:

Angle 1    Angle 2     Total

5               1                 6

150          30               180

We need to multiply 5x30 and 1x30

Then we add 150 plus 30 is 180.

So one angle is 150 and the other 30.

Hope this helps.

Answer:

Volume: [tex]\frac{2}{3}\pi r^3[/tex]

Ratio: [tex]\frac{2}{9}r[/tex]

Step-by-step explanation:

First of all, we need to find the volume of the hemispherical tank.

The volume of a sphere is given by:

[tex]V=\frac{4}{3}\pi r^3[/tex]

where

r is the radius of the sphere

V is the volume

Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

[tex]V'=\frac{V}{2}=\frac{\frac{4}{3}\pi r^3}{2}=\frac{2}{3}\pi r^3[/tex]

Now we want to find the ratio between the volume of the hemisphere and its surface area.

The surface area of a sphere is

[tex]A=4 \pi r^2[/tex]

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so [tex]2\pi r^2[/tex]. Moreover, we have to add the surface of the base, which is [tex]\pi r^2[/tex]. So the total surface area of the hemispherical tank is

[tex]A'=2\pi r^2 + \pi r^2 = 3 \pi r^2[/tex]

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

[tex]\frac{V'}{A'}=\frac{\frac{2}{3}\pi r^3}{3\pi r^2}=\frac{2}{9}r[/tex]

Answer:

The above definition of Population & Community of species is correct.

Step-by-step explanation:

Population is the group of organisms living together in same geographical area, at a point of time. Community is the group of all organisms living together in same geographical area, at a point of time.

Population is the smaller group of interbreeding individuals of same species, Community is a bigger group of different species sharing same geographical area.

Eg : Lions in a particular forest can be defined as 'population' ; & all the organisms in a particular forest can be defined as 'community'.

Answer:

£6000

Step-by-step explanation:

Given:

Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage.

Question asked:

How much money did the arena make from Phillip Cage's concert?

Solution:

Ratio Arena and Philip cage in which money distributed = 2 : 5

Let ratio be [tex]x[/tex]

Money earned by Arena = [tex]2x[/tex]

Money earned by Phillip Cage = [tex]5x[/tex]

Phillip Cage played total for =  £21,000

Money earned by Arena + Money earned by Phillip Cage = £21,000

[tex]2x+5x=21000\\7x=21000\\[/tex]

Dividing both sides by 7

[tex]x=3000[/tex]

Money earned by Arena = [tex]2x[/tex] = [tex]2\times3000=6000[/tex]

Thus, Arena made  £6000 from Phillip Cage's concert.

Answer:

slope = 5/2

Step-by-step explanation:

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 5/2x -3

The slope is 5/2 and the y intercept is -3

Answer:

Slope: 5/2

Y Intercept: -3

Step-by-step explanation:

Answer:

Wheres the diagram?

Step-by-step explanation:

A Venn Diagram is commonly used in probability theory to visualize and calculate probabilities. The probability of two conditions being met can be found by taking a sum of the probabilities of both conditions and their intersection, and subtracting the probabilities of each condition occurring separately. A Tree Diagram is another tool used to easily represent and calculate probabilities of multiple outcomes.

The use of a Venn Diagram is a common strategy in probability theory to help visualize and calculate probabilities effectively. To begin solving these problems, label each piece of the Venn Diagram clearly and note the probability or frequency of each part. Start by labeling the overlapping section first.

In the case of calculating the probability that a student belongs to a club and works part-time, identify the overlapping section of the Venn Diagram that represents both these conditions. The probability of this will be the sum of the probabilities of the student belonging to a club, working part-time, and both these conditions minus the probabilities of each of these conditions occurring separately.

Another tool that can be useful for visualizing and calculating probabilities is a Tree Diagram. A tree diagram uses branches to represent the possible outcomes of a scenario, which makes it easier to visually work through and solve probability problems. For instance, to visualize the probability of a man developing cancer in his lifetime and having at least one false-positive test, a tree diagram could be used where one branch represents the man developing cancer and the other branch represents the man having a false-positive.

https://brainly.com/question/19987104

#SPJ12

Answer:

50.625

Step-by-step explanation:

1) 10/2=5

10+5= 15

2) 15/2 = 7.5

15+7.5 = 22.5

3) 22.5/2 = 11.25

22.5+11.25= 33.75

4) Answer:  33.75/2 = 16.875

33.75+16.875 = 50.625

Para llenar la piscina en 3 horas, serían necesarios 8 grifos. Se aplica la regla de tres inversa: si aumentamos los grifos, disminuirá el tiempo requerido.

Esta pregunta se resuelve aplicando la regla de tres inversa. Si cuatro grifos tardan seis horas en llenar la piscina, para llenarla en la mitad de tiempo (3 horas), serán necesarios el doble de grifos.

La regla de tres inversa señala que si aumentamos la cantidad de grifos, disminuirá el tiempo requerido para llenar la piscina y viceversa. En este caso, como queremos reducir el tiempo a la mitad, necesitaremos el doble de grifos. Entonces, necesitaremos 4 * 2 = 8 grifos para llenar la piscina en 3 horas.

https://brainly.com/question/30605724

#SPJ12

Answer:

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is 6

With m∠x as the reference angle,

the adjacent side of the right angle triangle is the unknown side.

the opposite side of the right angle triangle is 4

To determine m∠x, we would apply

the sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin x = 4/6 = 0.67

x = Sin^-1(0.67)

x = 42.1° to the nearest tenth.

Anwer:12

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

1 dozen= 12

12x2=24

The unknown number was found from the equation to be -30.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the unknown number. Two thirds of a number is negative Twenty, hence:

(2/3)x = -20

Multiply both sides of the equation by 3/2, hence:

(2/3)x * 3/2 = -20 * 3/2

x = -30

The unknown number was found from the equation to be -30.

Find out more on Equation at: https://brainly.com/question/2972832

Answer:D.y=94x

Step-by-step explanation:

Final answer:

The relationship between time and distance for the cheetah can be modeled by y = 94x.

Explanation:

The relationship between the time, x, and distance, y, for the cheetah can be modeled by the equation y = 94x. This equation corresponds to the pattern shown in the table where the distance traveled increases by 470 feet as the time increases by 5 seconds.

Answer:

x < -6

Step-by-step explanation:

-2x -4 > 8

-2x +4 >+4

-2x >12

/-2 > /-2

x < -6

remember to flip the inequality sign whenever you divide by a negative number :)

Answer:

m = 3/4

Step-by-step explanation:

12.6 + 4m = 9.6 + 8m

4m - 8m = 9.6 - 12.6

- 4m = - 3

- m = - 3/4

m = 3/4

Answer:

I =2000(0.075)4= $600

Step-by-step explanation: