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2 years ago

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(Statistics and Probability) Jim runs a smoothie stand in the mall, and the flavors he sells are banana, kiwi, and grape. He wan

ted to figure out the probability of each flavor being ordered, so he asked 120 people at the mall what's their favorite smoothie flavor was. Out of the 120 people he asked, 44 said banana, 57 said kiwi, and 19 said grape.
Based on this information, what is the probability of each flavor being ordered?

(If you know the answer please post with solution please and thank you!)

1 answer:

aliya0001 [1]2 years ago

3 0

Answer:

Step-by-step explanation:

So

57% kiwi

44% banana

19% grape

Add all these up and it Will Be 120

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tigry1 [53]

x is $\frac{11}{3}$

Step-by-step explanation:

Let us revise some rules of exponents

$(a^{n})(a^{n})=a^{m+n}$
$\frac{a^{m}}{a^{n}}=a^{m-n}$
$(a^{m})^{n}=a^{mn}$
$a^{m}=a^{n}$ , then m = n

∵ $27^{x-1}=9^{3x-7}$

- Factorize 27 and 9

∵ 27 = 3 × 3 × 3

∴ 27 = 3³

∵ 9 = 3 × 3

∴ 9 = 3²

Substitute them in the equation

∴ $(3^{3})^{x-1}=(3^{2})^{3x-7}$

- Use the third rule to simplify each side

∴ $(3)^{3x-3}=(3)^{6x-14}$

- Use the fourth rule

∵ The bases of the two sides are equal

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∴ 3x - 3 = 6x - 14

- Subtract 6x from both sides

∴ -3x - 3 = -14

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Learn more:

You can learn more about equations in brainly.com/question/4934417

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olga55 [171]

Answer:

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Step-by-step explanation:

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A cube-shaped box has a volume of 64 cubic inches.

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Given: mTP= 70°,m∠EPT = 54° Find: Angles of △SPT

Zigmanuir [339]

Answer:

The Angles of △SPT are

$m\angle STP=35\°$

$m\angle SPT=126\°$

$m\angle PST=19\°$

Step-by-step explanation:

step 1

Find the measure of angle PET

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle PET=\frac{1}{2}(arc\ PT)$

substitute the given values

$m\angle PET=\frac{1}{2}(70\°)$

$m\angle PET=35\°$

step 2

Find the measure of angle PTE

we know that

The sum of internal angles of a triangle must be equal to 180 degrees

In the triangle PET

$m\angle PET+m\angle EPT+m\angle PTE=180\°$

substitute the given values

$35\°+54\°+m\angle PTE=180\°$

$m\angle PTE=180\°-89\°=91\°$

step 3

Find the measure of angle STP

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle STP=\frac{1}{2}(arc\ TP)$

substitute the given values

$m\angle STP=\frac{1}{2}(70\°)=35\°$

step 4

Find the measure of angle SPT

we know that

$m\angle SPT+m\angle EPT=180\°$ ----> by supplementary angles

$m\angle SPT+54\°=180\°$

$m\angle SPT=180\°-54\°=126\°$

step 5

Find the measure of angle PST

we know that

The sum of internal angles of a triangle must be equal to 180 degrees

In the triangle SPT

$m\angle STP+m\angle SPT+m\angle PST=180\°$

substitute the given values

$35\°+126\°+m\angle PST=180\°$

$m\angle PST=180\°-161\°=19\°$

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