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3 years ago

A spinner and 4 cards are shown below:

Mathematics

2 answers:

elena55 [62]3 years ago

7 0

Answer:

1 over 20

Step-by-step explanation:

Given that:

a spinner and 4 cards

A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green

Arrow point at purple

Four cards ⇒ Color : Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find - Probability spinner stops at purple & select pink card.

Solve:

Multiply 4 (the number of cards) with 5 (The number of equal sectors)

$\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}$ {1 × 1 = 1} {5×4=20}

~lenvy~

Mama L [17]3 years ago

7 0

Answer:

1 over 20

Step-by-step explanation:

Given the following:

1 spinner and 4 cards

A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.

{Arrow point at purple}

Four cards ⇒ which color are Red,Yellow,Blue,Pink

Jane spins the spinner & selects card without looking.

To Find → Probability spinner stops at purple & select pink card.

Since, purple and pink only has one in each of Spinner/card

Thus,

Spinner (5 equal sectors - 1/5}

Card {4 cards - 1/4}

1/4 × 1/5 = 1/20

Hence, probability spinner stops at purple & select pink card is [A] 1/20

[RevyBreeze]

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3 years ago

The first 4 terms of a 10-term geometric series are listed below. Which expression represents the sum

Stella [2.4K]

Given:

First 10 term of a geometric series are:

$\dfrac{16}{25}+\dfrac{8}{5}+4+10+...+a_10$

To find:

The expression that represents the sum of the series.

Solution:

The first term of the given geometric series is:

$a_1=\dfrac{16}{25}$

The common ratio of the given geometric series is:

$r=\dfrac{a_2}{a_1}$

$r=\dfrac{\dfrac{8}{5}}{\dfrac{16}{25}}$

$r=\dfrac{8}{5}\times \dfrac{25}{16}$

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Putting $a_1=\dfrac{16}{25},r=\dfrac{5}{2},n=10$ in the above formula, we get

$S_{10}=\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)$

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Answer:

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Step-by-step explanation:

To clarify we'll call children by 'c' and adults by 'a'. The amount of people in the pool should be the sum of adults and children, so:

a + c = 538

The receipts for the adimission should total the amount of tickets from children and adults multiplied by the price of each ticket, so:

1.75*c + 2.25*a = 1125.5

We now have two equations and two variables. Using the first equation we can isolate the 'a' variable and use it on the second equation to find an answer. We then have:

a + c = 538

a = 538 - c

Using it on the second equation:

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a = 538 - 170 = 368

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