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olchik [2.2K]
3 years ago
10

A baseball team had 70 players show up for tryouts last year and this year had 85 players show up for tryouts. Find the percent

increase in players from last year to this year.
Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:percent increase in players from last year to this year= 7.14%

Step-by-step explanation:

percent increase = (Increase  in number of players /Initial value of players Last year)  x 100

value of players for tryouts  last year = 70

value of players for tryouts this year = 85

Increase in tryouts = 85-70 =5

percent increase = 5/70 x 100

= 7.14%

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The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th
timama [110]

Answer: (0.076, 0.140)

Step-by-step explanation:

Confidence interval for population proportion (p) is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} = sample proportion.

n= sample size.

\alpha = significance level .

z_{\alpha/2} = critical z-value (Two tailed)

As per given , we have

sample size : n= 500

The number of Independents.:  x= 54

Sample proportion of Independents\hat{p}=\dfrac{x}{n}=\dfrac{54}{500}=0.108

Significance level 98% confidence level : \alpha=1-0.98=0.02

By using z-table , Critical value : z_{\alpha/2}=z_{0.01}=2.33

The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)

Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)

8 0
2 years ago
How much money is 2/3 of 24.00$ draw a diagram
Pachacha [2.7K]

Answer:

16.00$

Step-by-step explanation:

divide 24 dollars in three sections which is 8 dollars a section. 2/3 is 2 out of 3 sections(8+8) which is sixteen.

3 0
3 years ago
What is the area of circle with a radius of 13 milimeters? use 3.14 for pi
MrRissso [65]

Answer:

530.66 mm²

5.3066 cm²

Step-by-step explanation:

A = π·r²

= 3.14×(13mm)²

= 3.14×169mm²

= 530.66 mm²

= 5.3066 cm²

8 0
3 years ago
Read 2 more answers
Jasmine buys 3 T-Shirts and 3 Hats for $11.25. The next day, he buys 4 T-Shirts and 2 Hats for $10. How much does each T-Shirt a
leonid [27]

Answer: Each shirt costs $1.25, and each hat costs $2.5.

Step-by-step explanation:

Let x= Cost per T-shirt, y = Cost per Hat.

As per given,

3x+3y=11.25        (i)

4x+2y=10             (ii)

Multiply 4 to equation (i)

12x+12y=45          (iii)

12x+6y= 30             (iv)

Eliminate (iv) from (iii), we get

6y= 15

⇒ y = 2.5

Put value of y in (i)

3x+3(2.5)=11.25

⇒3x+7.5=11.25

⇒3x= 3.75

⇒x= 1.25

Hence, each shirt costs $1.25, and each hat costs $2.5.

8 0
2 years ago
Lyas rolls a 1–6 number cube. Find the probability that he
xxTIMURxx [149]

Answer:

5/6

Step-by-step explanation:

4,5,6- Numbers greater than 3

2,3- Prime numbers

Sample space={1,2,3,4,5,6}

P(E)=5/6

3 0
2 years ago
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