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4vir4ik [10]
3 years ago
7

Two​-thirds of the​ T-shirts in a​ T-shirt shop are blue. Three​-fifths of those​ T-shirts are on sale. ​One-half of the blue​ T

-shirts that are on sale are size medium. What fraction of the​ shop's T-shirts are blue​ T-shirts that are on sale and are size​ medium? Explain.
Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0

Let, total number of T-shirts are x.

Number of blue T-shirts = (2/3)x = 2x/3 .

Number of blue shirts on sale = (3/5)(2x/3) = 2x/5 .

Number of medium sized blue shirts on sale = (1/5)(2x/5) = 2x/25 .

Fraction of the​ shop's T-shirts are blue​ T-shirts that are on sale and are size​ medium = \dfrac{2x/25}{x}= 2/25 . ( Number of medium sized blue shirts on sale divided by total number of T-shirts )

Hence, this is the required solution.

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dangina [55]
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sukhopar [10]

Answer:

A) The population of this survey is the registered voters in the city of Raleigh.

B) 9500

C) 200

D) 0.325

E) 3088

Step-by-step explanation:

A) The population of this survey is the registered voters in the city of Raleigh.

B) Population size can be defined as the total number of individuals in a population. Here the total number of individuals are the registered voters in the city. Therefore the size of the population is 9500.

c) Sample size is defined as the number of individual samples in a statistical test. Here the sample size is the 200 randomly selected registered voters. It is denoted as "n".

d) The sample statistic for the proportion of voters surveyed who said they'd vote for Brown would be:

p' = voters for brown / sample size

p' = \frac{65}{200} = 0.325

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.325

E) The expected number of voters for Brown based on the sample:

0.325 * 9500 = 3087.5

Approximately 3088

The expected number of voters for Brown based on the sample might be 3088 voters.

7 0
3 years ago
What is 4(x 2) = 48 simplified?
Nookie1986 [14]
4(x 2)=48
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6 0
3 years ago
Please answer this please
cluponka [151]

Step-by-step explanation:

<h3>1. x² + 4 = (x+2)² </h3>

<h3> : x² + 4 = x² + 4 (Yes)</h3>

<h3>2. (2x+6)²= 4(x+3)²</h3>

<h3> : 4x²+36 = 4x² + 36 ( Yes)</h3>

<h3>3. (x-3)(x-3)= (x-9)² (NO)</h3>

<h3>beacause , True statement is</h3><h3> (x+3)(x-3)= (x-9)²</h3>

<h3>4. x²-10x+25 = (x-5)(x+5) (No)</h3>

<h3> : x²-2x+y² = (a-b)(a+b) </h3>

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4 0
3 years ago
Solve for b, then solve for each angle in the triangle
lesya692 [45]

We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:

b+2b+(b+16)=180

then, solving for b, we get:

\begin{gathered} b+2b+(b+16)=180 \\ \Rightarrow4b+16=180 \\ \Rightarrow4b=180-16=164 \\ \Rightarrow b=\frac{164}{4}=41 \\ b=41 \end{gathered}

now that we have that b = 41, we can find the measure of each angle:

\begin{gathered} b=41 \\ 2b=2(41)=82 \\ b+16=41+16=57 \end{gathered}

7 0
10 months ago
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