The cereal box shown below is a rectangular prism.

Answer:

A) Not mutually exclusive

Step-by-step explanation:

Given

[tex]P(A) = \frac{1}{4}[/tex]

[tex]P(B) = \frac{3}{5}[/tex]

[tex]P(A\ or\ B) = \frac{7}{10}[/tex]

Required

Determine if they are mutually exclusive or not

Mutually exclusive are defined by:

[tex]P(A\ or\ B) = P(A) + P(B)[/tex]

So, we have:

[tex]P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}[/tex]

Take LCM

[tex]P(A\ or\ B) = \frac{5+12}{20}[/tex]

[tex]P(A\ or\ B) = \frac{17}{20}[/tex]

By comparing:

[tex]P(A\ or\ B) = \frac{17}{20}[/tex] ---- Calculated

[tex]P(A\ or\ B) = \frac{7}{10}[/tex] ---- Given

We can conclude that A and B are not mutually exclusive because:

[tex]\frac{17}{20} \ne \frac{7}{10}[/tex]

Answer:

Take a look at the picture below

Have a good day :)

Answer:

David can run 28.7 miles in 3.5 hours.

Step-by-step explanation:

8.2mph × 3.5hours = 28.7miles

good luck, i hope this helps :)

Answer:

c

Step-by-step explanation:

Expressing the proportion in fractional form , that is

[tex]\frac{x+4}{x+12}[/tex] = [tex]\frac{x-1}{x+5}[/tex] ( cross- multiply )

(x + 4)(x + 5) = (x + 12)(x - 1) ← expand both sides using FOIL

x² + 9x + 20 = x² + 11x - 12 ← subtract x² + 9x from both sides

20 = 2x - 12 ( add 12 to both sides )

32 = 2x ( divide both sides by 2 )

16 = x → c

Answer:5 3/20

Step-by-step explanation:

6 8/20 0- 1 5/20= 5 3/20

Answer:

The third number from the end :3

Step-by-step explanation:

Hope this helps ^^

Answer:

bhi

Step-by-step explanation:

hf

Answer:

ok

Step-by-step explanation:

Answer:

EF = 13

Step-by-step explanation:

Opposite sides of a parallelogram are of equal lengths (properties of a parallelogram)

Therefore,

EF = DG

x + 3 = 2x - 7 (substitution)

Collect like terms

x - 2x = -3 - 7

-x = -10

Divide both sides by -1

x = -10/-1

x = 10

✔️EF = x + 3

Plug in the value of x

EF = 10 + 3

EF = 13

Answer:

2

Step-by-step explanation:

puting right terms together to find value of y

Answer:y = 2

Step-by-step explanation:

IF we are solving for y...

20y + 60 = 100

Subtract 60 from both sides to get y by itself...

20y = 40

divide by 20 to get y...

y = 2

Answer:D

Step-by-step explanation:

Sorry Ik it’s to late lol

Answer:

so what is the best country prospered for a reason you can't be able and also how many school system failed to get away from me to go back and forth and the other psychologist who is right to be able and to understand what a conversation has to do it again and also be a American is a great honor for a woman and the woman who are kind and also to the original artist of a president is the one that is a woman of a person and also an acid free woman who has a motherfu cking personality in her court that you can be hard pressed to be with a glock and you don't want it to get her out on a computer and also

Answer:

Hello! Your answer would be BELOW

Step-by-step explanation:

A)

D)

C)

Hope I helped! Ask me anything if you have more questions! Brainiest plz! Have a nice mourning! Hope you make an 100%! -Amelia♥

Answer:

62 (I guess, if I understand your text correctly)

Step-by-step explanation:

you mean she did not need her toy farm animals anymore and gives all of them evenly to her 3 younger cousins ?

then it is a very simple division : 186 / 3 = 62

do you not know how to divide ?

186 / 3

you take the number on the right and compare it to the first (most left) digit position on the left side and see, if the right side can divide this left position.

so, in our case, 1 / 3. Is that possible ? no. so, the result is 0, and we keep the leftover from the left side (still this "1").

now we attach the next digit (going from left to right) from the left side : 18

and we compare again - can we divide now this left side by the right side ? in our example 18 / 3. is that possible ? yes ! the result is 6. we attach this result to our previous result (0) and get 06 (or simply 6). and now there is nothing left in our intermediate division (18/3 creates no remainder, it is just straight 6).

so, our leftover on the left side is 0, and we attach the next digit (again, going from left to right) on the left side to the leftover : 06 (or simply 6).

and we compare again - can we divide now this left side by the right side ? in our example 6 / 3. is that possible ? yes ! the result is 2. we attach this result to our previous result (06) and get 062 (or simply 62). and now there is nothing left in our intermediate division (6/3 creates no remainder, it is just straight 2).

so, our leftover on the left side is 0, and we attach the next digit (again, going from left to right) on the left side to the leftover : oh, there are no more digits. we are finished !

and we have calculated just by hand or mind without any calculator that 186/3 = 62

Answer:

Oh..Im so sorry that happened, Thats what you call fake friends

Step-by-step explanation:

Answer:

C. 9 8/56

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Box contain = 512 grams

One serving = 56 gram

So, we can calculate the number of serving by using following formula,

Number of serving = Box contain ÷ One serving

By putting the value, we get

Number of serving = 512 ÷ 56

= 9.14 or 9 8/56

Answer:

Step-by-step explanation:

A correct answer can only be obtained from a complete question.

A rotation is not always about the origin, but in the absence of information, this will be assumed.

Rotating to the right is assumed to mean rotated from the second towards the first quadrant about the origin.

Rotating any shape about the origin by 360° will always return to the original (starting) position, so the final coordinates will be (-8,2) (-8,8) (-4,2).

Answer:

1/4 2/3 and 1/12 sfgjikjhskskshrmsl

Answer:

1) Fill in the Blanks

The First Blank is 1/2 because 1/2 + 1/2 = 1

The Second Blank is 3/4 because 3/4 + 1/4 = 1

The Third Blank is 1/3 because 1/3 + 2/3 = 1

2) Find the LCD

The Least Common Denominator (also known as LCD) is 60

To find this, find the number that each of the denominators can multiply to and have the same one together.

3) Find the length of the final scarf

A full scarf has a length of 150cm

We must use the fragment that is 1/2 this size

150 ÷ 2 = 75

We must use the second fragment which is 3/4 150cm

Divide the scarf into 4 pieces

150 ÷ 4 = 37.5

We need 3 1/4 fragments to = 3/4

37.5 x 3 = 112.5

The final fragment is 1/3 the length of the full scarf

We must divide the scarf into 3 sections

150 ÷ 3 = 50

The three lengths we just found were 75cm, 112.5cm, and 50cm

Add all of the lengths up to find the final length of the last scarf

75 + 112.5 + 50 = 237.5cm

The Final scarf length is 237.5cm

Answer:

9 hours

Step-by-step explanation:

455/7 gives you the mph

which is 65

then divide 585 miles by the mph (65)

585/65

= 9 hours

Answer:

(Choice A) A More rainfall relates to more mosquitoes, as long as rainfall is less than 2 cm²

Step-by-step explanation:

The given function for the number of mosquitoes, (by analysis of the options) is, g(x) = 4·x - x²

Where;

x = The amount of rainfall

g(x) = The number of mosquitoes in millions

The given function can be expressed as follows;

g(x) = 4·x - x² + 0

The maximum point is given by g'(x) = d(4·x - x²)/dx = 4 - 2·x = 0

At the maximum (turning point), we have;

4 - 2·x = 0

4 = 2·x

x = 4/2 = 2

The level of rainfall that gives the maximum number of mosquitoes is, x = 2 cm²

The number of mosquitoes increases from zero rainfall up to the maximum number of 4 million mosquitoes at 2 cm² rainfall and then decreases to zero as the rainfall increases further more than 2 cm², as shown in the attached  graph of the function g(x) that models the number of mosquitoes created with MS Excel

Therefore, the true statement is (Choice A) more rainfall relates to more mosquitoes, as long as (the level of) rainfall is less than (the maximum) 2 cm².

Answer:

1.25

Step-by-step explanation:

15 ÷ 4 = 3.75

3.75 ÷ 3 = 1.25

5 ÷ 4 = 1.25

The triangle is scaled by 1.25

Answer:

b

Step-by-step explanation:

An explicit formula for a sequence allows you to find the value of any term in the sequence. ... A recursive formula for a sequence allows you to find the value of the nth term in the sequence if you know the value of the (n-1)th term in the sequence.

The explicit formula will be best used in finding the 7th term when the first term is -1 and the common difference is 10, the correct option is B.

A recursive formula is used to determine the nth term when (n-1) th term is given in the series.

The Explicit formula is when any term of the sequence has to be determined on the basis of the first term and the common difference.

The recursive formula just requires one operation, while the explicit formula requires multiple operations,

The recursive formula is limited to determining the consecutive terms while the explicit formula can be used to determine any term of the sequence.

The explicit formula will be best used in finding the 7th term when the first term is -1 and the common difference is 10.

To know more about Recursive Formula

https://brainly.com/question/8972906

#SPJ5

Answer:

I think 12 * 12/ 60 = ?

12*12= 144

144/ 60= ?

Answer:

360°

Step-by-step explanation:

I think

1/2 base ×height

1/2×60×12

30×12

=360

Answer:

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

Yes, 12:18 is simplified to 2:3

Step-by-step explanation:

Answer:2/3 is the simplest form of 12/18.

Step-by-step explanation:

yes, 12/18 can simplified

Answer:

387,420,489

Step-by-step explanation:

Use the product rule that says (x^a)(x^b)=x^a+b

[tex]\frac{3^{12}}{(3^{2})^{-3}}[/tex]

Then the negative power rule:

[tex]\frac{3^{12}}{3^{-6}}[/tex]

Then simplify:

[tex]\frac{531441}{\frac{1}{729} }[/tex]

387,420,489

haha simple work, but the answer is not that simple :)

Answer:

$250....................

Answer:

12 and 16

Step-by-step explanation: 8+4=12 and 12+4=16 and 16x12=192 and 96x2=192 and 12x8=96