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Delicious77 [7]
3 years ago
11

a cereal company puts a colored ring in each box of cereal there are six different ring colors the color of the Rings and each o

f 50 cereal boxes are shown Below in the table read is 7 blue is 15 green is a purple is 10 yellows 5 orange is 5 based on the data what is the probability that the next cereal box will contain a blue or yellow ring​
Mathematics
2 answers:
Svetach [21]3 years ago
6 0

Answer:

17/50

Step-by-step explanation:

This is because you add the blue and yellow then you would always have your total of items at the bottom

Alex73 [517]3 years ago
4 0

Answer: \dfrac{6}{25}

Step-by-step explanation:

Given: Total number of cereal boxes = 50

Number of blue cereal box = 7

Number of yellow cereal box =5

Then the number of cereals which are either yellow of blue =  7+5=12

Now, the probability that the next cereal box will contain a blue or yellow ring​ is given by :-

\text{P(yellow or blue)}=\dfrac{12}{50}=\dfrac{6}{25}

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The area of a rectangle has decreased by 2%.
MissTica

Answer:

The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%

Step-by-step explanation:

We can start with the basic equation for the area of a rectangle:

l × w = a

And now express the changes described above as an equation, using "p" as the amount that the width is changed:

(l × 1.1) × (w × p) = a × .98

Now let's rearrange both of those equations to solve for a / l.  Starting with the first and easiest:

w = a/l

now the second one:

1.1l × wp = 0.98a

wp = 0.98a / 1.1l

1.1 wp / 0.98 = a/l

Now with both of those equalling a/l, we can equate them:

1.1 wp / 0.98 =  w

We can then divide both sides by w, eliminating it

1.1wp / 0.98w = w/w

1.1p / 0.98 = 1

And solve for p

1.1p = 0.98

p = 0.98 / 1.1

p ≈ 0.89

So the width is scaled by approximately 89%

We can double check that too.  Let's multiply that by the scaled length and see if we get the two percent decrease:

.89 × 1.1 = 0.979

That should be 0.98, and we're close enough.  That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89.  The actual result of that fraction is 0.89090909...  if we multiply that by 1.1, we get exactly .98.

6 0
2 years ago
Someone help please!
Lesechka [4]
X is equal to 82 degrees
3 0
2 years ago
What’s 7,040 divide by 3 using long division
gizmo_the_mogwai [7]

Answer:

Dividing 7,040 by 3 using long division method it gives the quotient  <u>2346</u> and the remainder <u>2</u>.

Step-by-step explanation:

Given:

7,040 divide by 3 using long division.

Now, to divide using long division method:

Step 1: Divide 7 by 3. 3 x 2 =6.

So, 1 will be remainder.

Step 2: Bring 0 down next to 1. So, now the new number is 10 .

Divide 10 by 3. 3 x 3 = 9.

Remainder is 1

So, quotient  is 23 till now.

Step 3: Bring 4 down next to 1. The number is now 14.

Divide 14 by 3. 3 x 4 = 12.

Thus, remainder is 2.

Step 4: Bring 0 next to 2. Getting the new number 20.

So, divide 20 by 3. 3 x 6 = 18.

Thus, the remainder is 2.

So, the quotient is 2346.

And the remainder is 2.

Therefore, dividing 7,040 by 3 using long division method it gives the quotient 2346 and the remainder 2.

3 0
3 years ago
Read 2 more answers
Camison's minnan gets 14 miles per gallon for city driving and 19 miles per gan
loris [4]

Answer:

<u>7 gallons were used for city driving and 17 gallons were used for highway driving</u>

Correct statement and question:

camison's minnan gets 14 miles per gallon for city driving and 19 miles per gallon for highway driving. At the beginning of the week, the 24-gallon tank was full. The family traveled 421 miles before running out of gas. How many gallons were used for city driving and  how many were used for highway driving?

Source:

Previous question found at brainly

Step-by-step explanation:

x = Gallons for city driving

24 - x = Gallons for highway driving

Miles drove before running out of gas = 421

Now let's solve for x, writing the following equation:

14x + 19 (24 - x) = 421

14x + 456 - 19x = 421

-5x = 421 - 456

-5x = - 35

x = -35/-5

x = 7 ⇒ 24 -x = 17

<u>7 gallons were used for city driving and 17 gallons were used for highway driving</u>

3 0
3 years ago
Which expression represents the number 2i4−5i3+3i2+−81‾‾‾‾√ rewritten in a+bi form?
vichka [17]

Answer:

The expression -1+14i represents  the number 2i^4-5i^3+3i^2+\sqrt{-81} rewritten in a+bi form.

Step-by-step explanation:

The value of i is i=\sqrt{-1}[tex] or [tex]i^{2}=-1[\tex].Now [tex]i^{4} in term of i^{2}[\tex] can be written as, [tex]i^{4}=i^{2}\times i^{2}

Substituting the value,

i^{4}=\left(-1\right)\times \left(-1\right)

Product of two negative numbers is always positive.

\therefore i^{4}=1

Now i^{3} in term of i^{2}[\tex] can be written as, [tex]i^{3}=i^{2}\times i

Substituting the value,

i^{3}=\left(-1\right)\times i

Product of one negative  and one positive numbers is always negative.

\therefore i^{3}=-i

Now \sqrt{-81} can be written as follows,

\sqrt{-81}=\sqrt{\left(81\right)\times\left(-1\right)}

Applying radical multiplication rule,

\sqrt{ab}={\sqrt{a}}\sqrt{b}

\sqrt{\left(81\right)\times\left(-1\right)}={\sqrt{81}}\sqrt{-1}

Now, \sqrt{\left(81\right)=9 and \sqrt{-1}}=i

\therefore \sqrt{\left(81\right)\times\left(-1\right)}=9i

Now substituting the above values in given expression,

2i^4-5i^3+3i^2+\sqrt{-81}=2\left(1\right)-5\left(-i\right)+3\left(-1\right)+9i

Simplifying,

2+5i-3+9i

Collecting similar terms,

2-3+5i+9i

Combining similar terms,

-1+14i

The above expression is in the form of a+bi which is the required expression.

Hence, option number 4 is correct.

5 0
3 years ago
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