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3 years ago

9

Which quantities in the advertisement represent a unit rate? 3 white shirts to 2 black shirts 2 black shirts for every 5 shirts

$10 per shirt $50 per shirt

2 answers:

Finger [1]3 years ago

7 0

Answer:

The Quantity 10$ per shirt represent a unit rate .

Step-by-step explanation:

Given:

There are 3 white shirts and 2 black shirts . per 10$ dollar.

To find:

Which quantities represent the unit rate ?

Solution:

Total of 5 shirts .

which means total of 50 dollar among 5 shirts.

i.e.50/5=10 dollars .

Hence each shirt causes 10 dollars or 10$ per shirt.

The Quantity 10$ per shirt represent a unit rate .

Paladinen [302]3 years ago

6 0

Answer:

10$ per shirt

Step-by-step explanation:

I got it correct on my quiz! <3

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Recent census data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125

kicyunya [14]

Answer:

The probability is $P(14 < X < 20 ) = 0.5354$

Step-by-step explanation:

From the question we are told that

The proportion that live with their parents is $\r p = 0.142$

The sample size is n = 125

Given that there are two possible outcomes and that this outcomes are independent of each other then we can say the Recent census data follows a Binomial distribution

i.e

$X \ \~ \ B( \mu , \sigma )$

Now the mean is evaluated as

$\mu = n * \r p$

$\mu = 125 * 0.142$

$\mu = 17.75$

Generally the proportion that are not staying with parents is

$\r q = 1 - \r p$

= > $\r q = 0.858$

The standard deviation is mathematically evaluated as

$\sigma = \sqrt{n * \r p * \r q }$

$\sigma = \sqrt{ 125 * 0.142 * 0.858 }$

$\sigma = 3.90$

Given the n is large then we can use normal approximation to evaluate the probability as follows

$P(14 < X < 20 ) = P( \frac{ 14 - 17.75}{3.90}$

Now applying continuity correction

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < \frac{ X - \mu }{\sigma } < \frac{ 19.5 - 17.75}{3.90} )$

Generally

$\frac{ X - \mu }{\sigma } = Z ( The \ standardized \ value \ of X )$

$P(14 < X < 20 ) = P( \frac{ 13.5 - 17.75}{3.90} < Z< \frac{ 19.5 - 17.75}{3.90} )$

$P(14 < X < 20 ) = P( -1.0897 < Z< 0.449 } )$

$P(14 < X < 20 ) = P( Z< 0.449 ) - P(Z < -1.0897)$

So for the z - table

$P( Z< 0.449 ) = 0.67328$

$P(Z < -1.0897) = 0.13792$

$P(14 < X < 20 ) = 0.67328 - 0.13792$

$P(14 < X < 20 ) = 0.5354$

6 0

3 years ago

A pie was cut into 8 equal slices if Ruben ate 3/4 of the pie how many slices did he eat?

lys-0071 [83]

Answer:

Ruben ate 6 pieces out of 8.

Step-by-step explanation:

We will understand 3/4 first. If we divide a pie into 4 pieces then Ruben ate 3 pieces of pie.

Further If we divide these 4 and 3 pieces to 8 and 6 then Ruben will eat 6 pieces out of 8.

Now we will show this mathematically

$\frac{3}{4}=\frac{3}{4}\times \frac{2}{2}=\frac{3\times2}{4\times2}=\frac{6}{8}$

Ruben ate 6 pieces out of 8.

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iVinArrow [24]

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3 years ago

There are approximately 2.4 million births in a country each year. Find the birth rate in units of births per minute.

irina1246 [14]

Answer:

4.57 births per minute

Step-by-step explanation:

2.4 million/year * 1year/365days* 1day/24hours * 1hour/60minutes =

2400000/(365*24*60) = 2400000/525600= 4.566births/minute

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3 years ago

A bottle of coke cost 3/4 as much as a $5 milkshake. How much would 3 bottles of coke and 2 milkshakes cost?

Eduardwww [97]

Answer:

Total, 2 milkshakes, and 3 cokes would cost $12.50

Step-by-step explanation:

The cokes cost $11.50 and the milkshakes $10.00

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2 years ago

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