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wolverine
1 month ago
14

casey bought sandwiches and a bag of chips. Each sandwich cost three times as much as bag of chips. She bought 5 sandwiches for

6 dollars each and spent 42 dollars. How many bags of chips b did she buy?
Mathematics
2 answers:
Inessa [12.5K]1 month ago
4 0

Answer:

She acquired 3 bags of chips.

Step-by-step explanation:

The price of 1 sandwich is $6.

Each sandwich costs three times as much as a single bag of chips.

Thus, the cost of a bag of chips equals \frac{6}{3}=2.

Let x signify the number of chip bags she obtained.

We know that she bought 5 sandwiches priced at 6 dollars each, resulting in a total of 42 dollars.

The expense of 6 sandwiches is represented as 6 \times 6 = 36.

The cost of x chip bags amounts to 2x.

According to the information provided

36+2x=42.

2x=6.

x=3.

Therefore, she purchased 3 bags of chips.

AnnZ [12.3K]1 month ago
3 0

Answer:

4

Step-by-step explanation:

Each sandwich costs 6 dollars, while chips sell for 3 dollars. She purchased 5 sandwiches at 6 dollars each, amounting to 30 dollars (5*6=30). This leaves her with 12 dollars to use since her total expenditure was 42 dollars. Given that chips are 3 dollars each, with 12 dollars left, 4 bags could be bought (4 * 3 = 12).

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Respuesta:

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Explicación paso a paso:

En primer lugar, sabemos que hay 15 bolas y necesitamos identificar cuáles son pares y superiores a 10.

Por lo tanto, debemos calcular inicialmente la probabilidad de que el número obtenido sea par.

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Contamos 7 números de 15 ---> P(B) = 7/15

De esos números, solo dos son mayores a 10, que son 12 y 14, así que: P(A|B) = 2/15

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Sagot:

a. 0.0124 = 1.24% ang posibilidad na itigil ang paggawa kapag ang sample mean ay 16 inches.

b. 0.0241 = 2.41% ang posibilidad na itigil ang paggawa kung ang mean ay lumipat sa 16.05 inches.

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Hakbang-hakbang na paliwanag:

Upang masagot ang tanong na ito, kinakailangan nating maunawaan ang normal probability distribution at ang central limit theorem.

Normal probability distribution

Kapag ang distribusyon ay normal, ginagamit natin ang z-score formula.

Sa isang set na may mean \mu at standard deviation \sigma, ang z-score ng sukat X ay ibinibigay ng:

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Ang Z-score ay sumusukat kung gaano karaming standard deviations ang sukat ay mula sa mean. Pagkatapos makuha ang Z-score, titingnan natin ang z-score table at hahanapin ang p-value na kaugnay ng z-score na ito. Ang p-value na ito ay ang posibilidad na ang halaga ng sukat ay mas maliit kaysa sa X, na ibig sabihin ay ang percentile ng X. Sa pamamagitan ng pagbawas ng 1 sa p-value, makakakuha tayo ng posibilidad na ang halaga ng sukat ay mas mataas sa X.

Central Limit Theorem

Itinataguyod ng Central Limit Theorem na, para sa isang normal na ipinamamahaging random variable X, na may mean \mu at standard deviation \sigma, ang sampling distribution ng sample means na may sukat n ay maaaring i-approximate sa isang normal na distribusyon na may mean \mu at standard deviation s = \frac{\sigma}{\sqrt{n}}.

Ipagpalagay na ang standard deviation ng diameter ng mga rims ay 0.3 inches. Ang samples ay 9.

Ibig sabihin nito \sigma = 0.3, n = 9, s = \frac{0.3}{\sqrt{9}} = 0.1

a. Kalkulahin ang posibilidad na itigil ang paggawa kapag ang sample mean ay 16 inches.

\mu = 16Narito ang

Mas mataas sa 16.25:

Ito ay 1 na ibinawas mula sa p-value ng Z kapag X = 16.25. Kaya

Z = \frac{X - \mu}{\sigma}

Sa pamamagitan ng Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{16.25 - 16}{0.1}

Z = 2.5

Z = 2.5may p-value na 0.9938

1 - 0.9938 = 0.0062

Mas mababa sa 15.75:

Ito ay p-value ng Z kapag X = 15.75. Kaya

Z = \frac{X - \mu}{s}

Z = \frac{15.75 - 16}{0.1}

Z = -2.5

Z = -2.5may p-value na 0.0062

Probabilidad ng pagtigil:

2*0.0062 = 0.0124

0.0124 = 1.24% ang posibilidad na itigil ang paggawa kapag ang sample mean ay 16 inches.

b. Kalkulahin ang posibilidad na itigil ang paggawa kung ang mean ay lumipat sa 16.05 inches.

\mu = 16.05

Narito ang

Mas mataas sa 16.25:

Z = \frac{X - \mu}{s}

Z = \frac{16.25 - 16.05}{0.1}

Z = 2

may p-value na 0.9772

1 - 0.9772 = 0.0228

Mas mababa sa 15.75:

Ito ang p-value ng Z kapag X = 15.75. Kumbaga

Z = \frac{X - \mu}{s}may p-value na 0.0013

Z = \frac{15.75 - 16.05}{0.1}

Z = -3

Z = -3Probabilidad ng pagtigil:

0.0228 + 0.0013 = 0.0241

0.0241 = 2.41% ang posibilidad na itigil ang paggawa kung ang mean ay lumipat sa 16.05 inches.

c. Kalkulahin ang posibilidad na hindi makagambala sa produksyon kung ang mean ay lumipat sa 16.25 inches.

Sa pagitan ng 16.25 at 15.75 na may \mu = 16.25. Ito ang p-value ng Z kapag X = 16.25 na ibinawas mula sa p-value ng Z kapag X = 15.75.

X = 16.25

Z = \frac{X - \mu}{s}

Z = \frac{16.25 - 16.25}{0.1}

Z = 0

Z = 0may p-value na 0.5

X = 15.75

Z = \frac{X - \mu}{s}

Z = \frac{15.75 - 16.25}{0.1}

Z = -5

Z = -5may p-value na 0

0.5 - 0 = 0.5

0.5 = 50% ang posibilidad na hindi makagambala sa produksyon kung ang mean ay lumipat sa 16.25 inches.

3 0
15 days ago
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