Question 1 (1 point) 3 If the dimensions of the box are L= 5cm W=2.5cm H= 2.5 cm, and the a kernel is 0.6cm; How many kernels could fit inside of the box?​

Answers

Answer 1

Answer:

145 kernels

Step-by-step explanation:

The dimensions of the box are L= 5cm W=2.5cm H= 2.5.

Size of a kernal is 0.6 cm

We need to find number of kernels that could fit inside of the box. Let n be such kernals. So,

[tex]n=\dfrac{\text{volume of box}}{\text{volume of one kernel}}[/tex]

Kernal is in the shape of cube

So,

[tex]n=\dfrac{\text{volume of cuboid}}{\text{volume of one cube}}\\\\n=\dfrac{LWH}{a^3}\\\\n=\dfrac{5\times 2.5\times 2.5}{(0.6)^3}\\\\n=144.67\\\\\text{or}\\\\n=145\ \text{kernels}[/tex]

Hence, 145 kernels could fit inside of the box.


Related Questions

What is 5/0 ;) You will never get it.

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Answer:

0

Step-by-step explanation:

It’s easy

Answer:

Error or Undefined

Find the slope of the line passing through the points (-5, 7) and (-5, -1)

Answers

Answer:

Step-by-step explanation:

(-1 -7)/(-5 + 5) = -8/0 = undefined

A cell phone company charges 45 per month and additional 0. $.24 for each text message sent during the month I know the cell phone company cellular plus charge 65 per month and additional 0.23 for each text message sent during the month how many text message would have to be sent any month to make both plans cause the same call first charge 14 GB of data used each month cellular plus charges 10 per gigabyte of data used each month if you were to send nine teen33 text messages and use 3 GB of the data any month which plan will be better

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Answer: the 1st plan

Step-by-step explanation:

What point is plotted on the graph? (9, 9) (9, 8) (8, 9) (8, 8)

Answers

Answer:

It's 9,8

Step-by-step explanation:

Answer:

the point is (9,8).......

Subtract. 8 1/2 - 2 2/3

Answers

Answer:

Mixed number: 5 5/6

Improper fraction: 35/6

Step-by-step explanation:

8 1/2 - 2 2/3

17/2 - 8/3

35/6

5 & 5/6

Hope this helps!

Plz name brainliest if possible!

2. Suppose that P(A) = 0.32, P(B) = 0.46, P(C) = 0.23, P(A ∪ B) = 0.57, P(A ∪ C) = 0.55, P(B ∪ C) = 0.49. a. Compute P(B ′ ). b. Compute P(A ∩ B), and use the result to determine if A and B are mutually exclusive. c. Determine if A and C are mutually exclusive. Explain briefly. d. Describe in simple words what (A ∪ B ∪ C)′ represents. Determine P[(A ∪ B ∪ C)′]. (Hint: Determine first P(B ∩ C).)

Answers

Answer:

Step-by-step explanation:

From the given information:

a.

Compute [tex]P(B')[/tex]:

[tex]P(B') = 1 - P(B) \\ \\P(B') = 1 - 0.46 \\ \\ P(B') = \mathbf{0.54}[/tex]

b.

Compute P(A ∩ B)

P(A ∩ B) =  P(A) +P(B) - P(A∪B)

P(A ∩ B) =  0.32 + 0.46 - 0.57

P(A ∩ B) =  0.21

Thus, since P(A ∩ B) ≠ 0, we can say that they are not mutually exclusive.

c.

P(A ∩ C) = P(A) +P(C) - P(A∪C)

P(A ∩ C) = 0.32 + 0.23 -0.55

P(A ∩ C) =  0

Thus, since P(A ∩ C) = 0, we can say that they are both mutually exclusive.

d. To determine  P[(A ∪ B ∪ C)′]

i.e. none of the events occurring

Then :

P(B ∩ C) = 0.46 +0.23 -0.49

P(B ∩ C) = 0.20

Therefore:

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B ) - P(A  ∩ C) - P(B ∩ C)  + P(A ∩ B ∩ C)

P(A ∪ B ∪ C) = 0.32 + 0.46 + 0.23 - 0.21 - 0 - 0.20 + 0

P(A ∪ B ∪ C) = 0.60

9x=63

NEED YOUR HELP ILL MARK BRAINLIEST ​

Answers

Answer:

9x = 63

x = 63/9

x = 7

hope it helps!

Answer:

7

Step-by-step explanation:

7 times 9 = 63

the difference between half a number and 19

Answers

The difference between two numbers is 19. Half the larger number plus twice the smaller number is 12. What are the numbers?

This is the equation I came up with but I can't make it work.
x-y=19
1/2x+2y=12 x2 --> x + 4y = 24
----------
x - y = 19
x +4y = 24
------------ Subtract
-5y = -5
y = 1
x = 20

There are 6 girls and 4 boys taking karate lessons. Write the ratio that compares the
number of girls taking karate lessons to the total number of students taking karate
lessons

Answers

6:10

(6 girls for every 10 students)

Answer:

6:10

6+4=10

Step-by-step explanation:

Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?

Answers

Answer:

3

Step-by-step explanation:

y = –3x – 2 5x + 2y = 15

Answers

Answer:

x = - 19 y - 55 or point form (-19,55)

What's the slope of the line that passes through the points (4,8) and (2,12)? Write your answer in simplest form

Answers

Slope is rise over run so it would be -4 over 2 which you simplify to -2

The slope of the line passing through the given points (4, 8) and (2, 12) is -2.

Given the following points:

Points on the x-axis = (4, 2).Points on the y-axis = (8, 12)

To find the slope of the line passing through the given points (4, 8) and (2, 12):

The slope of a line is simply the gradient of a line and it describes both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is given by the following formula;

[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substituting the given points into the formula, we have;

[tex]Slope. \;m = \frac{12 \;- \;8}{2\; - \;4}\\\\Slope. \;m = \frac{4}{-2}[/tex]

Slope, m = -2.

Therefore, the slope of the line passing through the given points is -2.

Read more: https://brainly.com/question/18123312

Please help!!! I.m confused with the problem

Answers

Answer:

C

Step-by-step explanation:

Make the equation from the blocks:

-7x + 7 = 5x + 16

Then simplify:

Subract 7 from both sides:

-7x = 5x + 9

Add 7x:

0 = 12x + 9

Subtract 9:

-9 = 12x

x = -9/12 = -3/4

find the area of the square rug if its side is (4×+1)feet ​

Answers

Answer:

5x feet

Step-by-step explanation:

it is 5x because you got to take away the x and just add them together then and the x to the soultion you get

Circle A and Circle B are congruent circles. Which statement must be true?
a. Circle A and Circle B have the same center.
b. The radii of Circle A and Circle B have the same length.
c. Circle A and Circle B have exactly two points in common.
d. Circle A and Circle B touch at one point.

Answers

Answer:

B

Step-by-step explanation:

congruent mean the same, therefore the circles must be the same since they  are congruent.

Answer:

B. The radii of Circle A and Circle B have the same length.

Step-by-step explanation:

The radii, diameter, and circumference would be the same length for two circles that are congruent, therefore, the answer is B.

i'm dumb and don't know how to write 2 1/16 as a decimal

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2.0625}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2 \frac{1}{16}} [/tex]

First, convert the mixed number into improper fraction

[tex] \longrightarrow{ \sf{ \frac{2 \times 16 + 1}{6}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{32 + 1}{6}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{33}{16}}} [/tex]

Calculate

[tex] \longrightarrow{ \sf{2.0625}}[/tex]

Hope I helped!

Best regards! :D

Answer:

2.0625

Step-by-step explanation:

You're not dumb :)

The area of a certain desert (Desert 1) is nine times the area

of another desect (Derect 2). If the sum of theic areas 13

10,000,000 square miles, find the area of each desert

Answers

Answer:

∴ Area of Desert 1 = 9,000,000 square miles

Area of Desert 2 = 1,000,000 square miles

Step-by-step explanation:

let the area of Desert 1 = x

Let the area of desert 2 = y

Given:

x = 9y - - - - - - (1)

x + y = 10,000,000 - - - - -(2)

Replacing the value of x from equation 1 into equation 2:

x + y = 10,000,000

where x = 9y

9y + y = 10,000,000

10y = 10,000,000

y = 10,000,000 ÷ 10

y = 1,000,000 square mile

Next, finding x by putting the value of y into equation 1

x = 9y

where y = 1,000,000

∴ x = 9 × 1,000,000

x = 9,000,000 square miles

∴ Area of Desert 1 (x) = 9,000,000 square miles

Area of Desert 2 (y) = 1,000,000 square miles

Answer:

100/51

just took the test

Step-by-step explanation

The difference between nine and two

Answers

Answer:

7

Step-by-step explanation:

the difference is another way of saying subtraction so the subtraction of 9 and 2 which is obviously 7

sssssssssssssssssssssssssseven

A federal report found that a lie detector test given to someone telling the truth will suggest that they lied in about 20% of cases. A company asks the 11 job applicants for a new position about thefts from previous employers. (a) What is the probability that the lie detector indicates that at least one of the applicants is lying

Answers

Answer:

[tex]0.055[/tex]

Step-by-step explanation:

Let [tex]p[/tex] be the probability of lying an applicant, so,  [tex]p=20 \%[/tex].

[tex]\Rightarrow p=\frac {20}{100}=\frac {1}{5}\;\cdots (i)[/tex]

Any applicant will either lie or will tell the truth.

Let [tex]q[/tex] be the probability of telling the truth, so, [tex]q= 1-\frac {1}{5}[/tex]

[tex]\Rightarrow q=\frac {4}{5}[/tex]

As for every applicant [tex]p+q=1[/tex], so this is Bernoullies trials, for which

the probability of success of exactly [tex]x[/tex] times of an event out of [tex]n[/tex] trials is [tex]P(x)=\binom {n}{x} p^xq^{n-x}\; \cdots (iii)[/tex].

Now, let [tex]E[/tex] be the event of at least one of the applicants is lying out of [tex]11[/tex] applicants, here the total number of applicants, [tex]n=11[/tex].

So, [tex]P(E)= P(x=1)+ P(x=2)+\cdots+ P(x=11)[/tex]

This is equivalent to

[tex]P(E)=1-P(x=0)[/tex] as[tex][P(x=0)+P(x=1)+ P(x=2)+\cdots+ P(x=11)=1][/tex]

Now, from equation (iii),

[tex]P(E)=1-\binom {11}{0} p^0q^{11-0}[/tex]

[tex]\Rightarrow P(E)=1-11\left(\frac {1}{5}\right)^0\left(\frac {4}{5}\right)^{11}[/tex]   [from equations s (i) and (ii)]

[tex]\Rightarrow P(E)=1-11\times 1 \times \left(\frac {4}{5}\right)^{11}[/tex]

[tex]\Rightarrow P(E)=1-0.945[/tex] (approx)

[tex]\Rightarrow P(E)=0.055[/tex]

Hence, the probability that the lie detector indicates that at least one of the applicants is lying is [tex]0.055.[/tex]

Please help pleaseeee
----------
/ 0.09 Type interger or decimal.

Answers

Answer:

0.09 = decimal

Answer:

DECIMAL

Step-by-step explanation:

0.09 is definitely NOT a integer.

Integer is a whole number.

a decimal is a way of writing a number that is NOT a whole number.

so the answer to your question is.... DECIMAL.

If sales tax on an item is 6%, is the total price 106% of the item's price before tax? Show work to
help explain your answer.

Answers

Yes. 6% tax means the original price PLUS the added tax price. The original prices would be 100% where as the tax is 6%, so you add the two together; 106%

Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How much faster was Sarah the cheetah’s speed, to the nearest tenth of a meter per second? 0.9 meters per second 1.6 meters per second 6.4 meters per second 10.4 meters per second

Answers

Answer:

Sara's speed was 6.4 meters per second faster

Step-by-step explanation:

(Were going to name the olympian steve)

First, we have to find how many meters per second Steve ran. To find this we must divide the number of meters he ran by the amount of time it took him to run all 100 meters.

100 ÷ 9.6 =10.41666667

Since the problem tells us to round to the nearest tenth of a second we round 10.41666667 to 10.4. So now we know how many meters per second Steve ran. Now all we have to do is subtract the number of meters per second Sarah ran, from the number of meters per second Steve ran.

Sarah- 16.8 meters per second

Steve- 10.4 meters per second

16.8-10.4= 6.4

And there you have it! Sarah ran 6.4 meters per second more than Steve. I hope this answer was accurate and helpful. I hope you have an AMAZING day!

Answer:

C

Step-by-step explanation:

I know I'm no smarty pants but I need help!!

The given line passes through the points (-4, -3) and (4, 1).

On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4, 3)?

Answers

Answer:

it is a linear function

Step-by-step explanation:

a+D_r

Write 3.79 as a mixed number.please

Answers

Answer:

379/100

Step-by-step explanation:

one over two divided by one over four

Answers

Answer:

.125 should be your answer. Have a Great Day!

Step-by-step explanation:

what’s the rule for the transformation

Answers

The answer to the question of yours is the first one

a number rounded to the nearest hundred thousand is 400,000. The same number rounded to the nearest ten thousand is 350,000. What could the number be?

Answers

Answer:

360000

Step-by-step explanation:

Well, we know the number must be above 350,000 because it was rounded up to 400,000. In order for the number to round down to 350,000 the number would have to be between 350,000-354999. So, the number could be any number in between those two numbers.

For example: The number COULD be 351,000 but, that is not the only possible answer.

but the answer would be 360000.

please answer this
I will mark you
plz plz​

Answers

Answer:

don't know sorry......................

Answer:

y=120 degree z=120 degree and x=60degree

Step-by-step explanation:

y+60¤ =180¤(being straight line )

or,y=180¤-60¤

or,y=120¤

therefore y=120¤

Now z= 120¤ (being corresponding angle)

therefore z =120¤

here at last,

z+120=180 (being straight anngle)

or, z=60¤

therefore z =60¤

( ¤): degree

After building your factor tree, what is the simplified form of \sqrt{36}?

Answers

√36 indicates the principal (or positive) square root so √36=6 .

The square root of √36 is 6.

Hope this helps ! <3

How do you find the magnitude and positive direction angle of the vector
v = 6i − 6j?

Answers

Answer:

Step-by-step explanation:

Given the vector v = 6i-6j, the magnitude is expressed as shown;

|v| = √6²+(-6)²

|v| = √36+36

|v| = √72

|v| = √2×36

|v| = √36×√2

|v| = 6√2

The modulus of the vector is 6√2

To get the direction, we will use the formula;

(theta) = tan^-1(y/x)

(theta) = tan^-1(-6/6)

(theta) = tan^-1(-1)

(theta) = -45°

Since the angle is negative and tan theta is negative the in the second quadrant, the positive direction angle of the vector will be 180° - 45° = 135°

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