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3 years ago

Help please with number 11

Mathematics

2 answers:

harkovskaia [24]3 years ago

4 0

The answer Is A. 6cm,8cm,10cm

Jobisdone [24]3 years ago

3 0

Answer:

Step-by-step explanation:

The triangles are not similar since triangle B has an angle (18 cm) that does not correspond to 10, unlike the other angles which you can get by multiplying 3/2.

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An event manager recorded the number of people in different age groups who attended a music concert:

Vesnalui [34]

Answer:

Age Group Number of People 18–24 80 25–31 120 32–38 40 39–45 20

The data in each bar is how many people in that group.

So 18-24 has 80 people

25-31 has 120 people

32 -38 has 40 people

39-45 has 20 people

Step-by-step explanation:

3 0

2 years ago

One environmental group did a study of recycling habits in a California community. It found that 75% of the aluminum cans sold i

AysviL [449]

Answer:

$P( \^ p > 0.775 ) = 0.12798$

$P( 0.6718 < p < 0.775 ) =0.87183$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.75$

Considering question a

The sample size is $n = 387$

Generally the standard deviation of this sampling distribution is

$\sigma = \sqrt{ \frac{p(1 - p)}{ n } }$

=> $\sigma = \sqrt{ \frac{0.75(1 - 0.75)}{ 387 } }$

=> $\sigma = 0.022$

The sample proportion of cans that are recycled is

$\^ p = \frac{ 300}{387 }$

=> $\^ p = 0.775$

Generally the probability that 300 or more will be recycled is mathematically represented as

$P( \^ p > 0.775 ) = P( \frac{\^ p - p }{ \sigma } > \frac{0.775 - 0.75 }{ 0.022} )$

$\frac{\^ p - p }{\sigma } = Z (The \ standardized \ value\ of \ \^ p )$

$P( \^ p > 0.775 ) = P( Z > 1.136 )$

From the z table the area under the normal curve to the left corresponding to 1.591 is

$P( Z > 1.136) = 0.12798$

=> $P( \^ p > 0.775 ) = 0.12798$

Considering question b

Generally the lower limit of sample proportion of cans that are recycled is

$\^ p_1 = \frac{ 260 }{387 }$

=> $\^ p_1 = 0.6718$

Generally the upper limit of sample proportion of cans that are recycled is

$\^ p_2 = \frac{ 300}{387 }$

=> $\^ p_2 = 0.775$

Generally probability that between 260 and 300 will be recycled is mathematically represented as

$P( 0.6718 < p < 0.775 ) = P( \frac{0.6718 - 0.75 }{ 0.022}< \frac{\^ p - p }{ \sigma }$

=> $P( 0.6718 < p < 0.775 ) = P( -3.55 < Z < 1.136 )$

=> $P( 0.6718 < p < 0.775 ) = P(Z < 1.136 ) - P( Z < -3.55 )$

From the z table the area under the normal curve to the left corresponding to 1.136 and -3.55 is

$P( Z < -3.55 ) = 0.00019262$

and

$P(Z < 1.136 ) = 0.87202$

$P( 0.6718 < p < 0.775 ) = 0.87202- 0.00019262$

=> $P( 0.6718 < p < 0.775 ) =0.87183$

4 0

3 years ago

The graph shows the relationship between the cost of dinner and the number of plates purchase Dinner Party Plates Purchased Whic

cestrela7 [59]

Answer:

Step-by-step explanation:

hope it helps:)

7 0

3 years ago

Read 2 more answers

Simplify the radical expression. Leave it in radical form. SHOW YOUR WORK √75 + √3 √75 + √3

gayaneshka [121]

15+6√3 is the correct answer.

Work:
√75 + √3 √75 + √3
5√3+√3+√3*5√3
6√3+3*5
15+6√3

6 0

3 years ago

At the start of a month, Sasha and Natalia each have a certain amount of money.

Sergio039 [100]

Answer:

Option (A)

Step-by-step explanation:

Sasha has an amount of $400 and saves $20 per week.

If we graph the savings of Sasha, her savings per week will be defined by the slope of the line = $20 per week

Similarly, from the graph attached,

Slope of the line given in the graph = Per week savings of Natalia

Slope of line passing through (0, 190) and (2, 210) will be,

Slope = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{210-190}{2-0}$

= 10

Therefore, per week savings of Natalia = $10

Difference in savings of Sasha and Natalia = 20 - 10 = $10 per week

Here, Sasha shows the greater rate of change by $10 per week

Therefore, Option (A) will be the answer.

4 0

3 years ago