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3 years ago

Can some one help me

Mathematics

1 answer:

SOVA2 [1]3 years ago

8 0

Answer:

84 grams and 5 ounces

Step-by-step explanation:

because one ounce equals 28 grams, that means 3 ounces = 3 * 28 = 84

because 28 grams equals 1 ounce, 140 grams = 140 / 28 = 5 ounces

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1436.75504

Step-by-step explanation:

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4 years ago

A new queen size bed sheet

rewona [7]

Answer:

a) The dimensions of the sheet after washing are 205.8 cm and 235.2 cm

b) The percent decrease in the area of the sheet is 3.96%

Step-by-step explanation:

Let us solve the question

∵ A new queen size bed sheet measures 210 cm by 240 cm.

∴ Length = 210 cm and width = 240 cm

∵ The length and width each shrinks by 2%

→ If the length is 100% and the width is 100%, they shrink by 2% each,

then the new length is 98% of the original length and the new width

is 98% of the original width

∴ The new length = 210 × 98% = 210 × $\frac{98}{100}$ = 210 × 0.98

∴ The new length = 205.8 cm

∴ The new width = 240 × 98% = 240 × $\frac{98}{100}$ = 240 × 0.98

∴ The new length = 235.2 cm

∴ The dimensions of the sheet after washing are 205.8 cm and 235.2 cm

∵ The area of the rectangle = length × width

∴ The area of the original sheet = 210 × 240 = 50400 cm²

∴ The area of the sheet after washing = 205.8 × 235.2 = 48404.16 cm²

→ Percent of decrease = (decrease ÷ original) × 100%

∵ The decrease in area = 50400 - 48404.16 = 1995.84

∵ The original area = 50400

∴ The percent decrease = (1995.84 ÷ 50400) × 100%

∴ The percent decrease = 3.96%

∴ The percent decrease in the area of the sheet is 3.96%

8 0

3 years ago

Automobiles arrive at a vehicle equipment inspection station according to a Poisson process with rate α = 8 per hour. Suppose th

Elis [28]

Answer:

a) The probability that exactly eight arrive during the hour and all eight have no violations is 0.0005.

b) For any fixed y ≥ 8, the probability that y arrive during the hour, of which eight have no violations is:

$P(X=y\,\&\,nv=8)=\frac{4^ye^{-8}}{8!(y-8)!}$

c) The probability that eight "no-violation" cars arrive during the next hour is 0.030.

Step-by-step explanation:

a) The probability that exactly eight arrive during the hour and all eight have no violations is equal to the product of the probability of arrival of 8 vehicules and the probability of having 8 vehicules with no violations.

$P(X=8\,\&\,no\, violations)=P(no\, violations|X=8)*P(X=8)\\\\P(X=8\,\&\,nv)=(0.5)^8*\frac{8^8e^{-8}}{8!} = 0.0039*0.1396=0.0005$

b) For any fixed y ≥ 8, the probability that y arrive during the hour, of which eight have no violations is:

$P(X=y\,\&\,nv=8)=P(nv=8|X=y)*P(X=y)\\\\P(X=y\,\&\,nv=8)=[\binom{y}{8}(0.5)^8*(0.5)^{y-8}]*\frac{8^ye^{-8}}{y!} =\frac{y!}{8!(y-8)!}0.5^y *8^y*\frac{e^{-8}}{y!}\\\\ P(X=y\,\&\,nv=8)=(\frac{y!}{y!})(0.5*8)^y\frac{e^{-8}}{8!(y-8)!}=\frac{4^ye^{-8}}{8!(y-8)!}$

c) Using the result of point (b) we can express the probability that eight "no violation" vehicules arrive durting the next hour as:

$P(nv=8)=\sum\limits^\infty_{y=8} {\frac{4^ye^{-8}}{8!(y-8)!}}=\frac{e^{-8}}{8!} \sum\limits^\infty_{y=8} {\frac{4^y}{(y-8)!}}=\frac{e^{-8}4^{8}}{8!} \sum\limits^\infty_{y=8} {\frac{4^{y-8}}{(y-8)!}}\\\\P(nv=8)=\frac{e^{-8}4^{8}}{8!} \sum\limits^\infty_{z=0} {\frac{4^{z}}{z!}}=\frac{e^{-8}4^{8}}{8!}*e^4=\frac{e^{-4}4^{8}}{8!}\\\\P(nv=8)= 0.030$

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3 years ago

a boat travels 36 miles downstream in 2 hours and returns upstream in 6 hours. find the speed of the current and the speed of th

Tamiku [17]

Answer:

3 miles per hour stream

Step-by-step explanation:

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