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horsena [70]
2 years ago
12

It's a Venn diagram problem. 50 patrons, 16 of them like lattes, 12 of them like espressos, and 8 of them like both coffee drink

s. How many patrons don't like either of the coffee drinks.
A) 32
B) 22
C) 14
D) 30

Mathematics
2 answers:
Leviafan [203]2 years ago
6 0
Since I can't draw the Venn diagram, I will solve it mathematically.
Let n be the number of drinkers:

n( lattes) = 16
n(espresso) = 12
n(elates AND espresso) = 8
Let's find the number of those who drink either latte or espresso)
n(Lattes OR espresso) = n(lattes) + n(espresso) - n(lattes AND espresso)
n(Lattes OR espresso) = 16 + 12 - 8 = 20
Then 20 likes either lattes or espresso + 8 likes both = 28 like coffee
The total is 50, out of them 28 like coffee, then those who don't like coffee are: 50-28 = 22 (answer B)
jok3333 [9.3K]2 years ago
3 0

Answer:c

Step-by-step explanation:

You might be interested in
3. A large fruit dish with a 36 in. diameter is placed in the center of a banquet across and is completely filled with apples. T
Serga [27]

Answer:

a) 11%

b) 56%

Step-by-step explanation:

a) A= πr^2    6^2π= 36π    A= 18^2π = 324π

36π/324π = .111111111111111111111111 or 11%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

b)   A= πr^2         18^2 π = 324π

     A= πr^2          12^2π = 144π  

              324 – 144  = 180

180π/324π = .5555555555555555555555556 or 56%

remember to cancel out the pi symbols when you are showing your work

(put a line across the pi symbols when dividing)

3 0
3 years ago
A certain geneticist is interested in the proportion of males and females in the population who have a minor blood disorder. In
lord [1]

Answer:

95% confidence interval for the difference between the proportions of males and females who have the blood disorder is [-0.064 , 0.014].

Step-by-step explanation:

We are given that a certain geneticist is interested in the proportion of males and females in the population who have a minor blood disorder.

A random sample of 1000 males, 250 are found to be afflicted, whereas 275 of 1000 females tested appear to have the disorder.

Firstly, the pivotal quantity for 95% confidence interval for the difference between population proportion is given by;

                        P.Q. = \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }  ~ N(0,1)

where, \hat p_1 = sample proportion of males having blood disorder= \frac{250}{1000} = 0.25

\hat p_2 = sample proportion of females having blood disorder = \frac{275}{1000} = 0.275

n_1 = sample of males = 1000

n_2 = sample of females = 1000

p_1 = population proportion of males having blood disorder

p_2 = population proportion of females having blood disorder

<em>Here for constructing 95% confidence interval we have used Two-sample z proportion statistics.</em>

<u>So, 95% confidence interval for the difference between the population proportions, </u><u>(</u>p_1-p_2<u>)</u><u> is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5% level

                                             of significance are -1.96 & 1.96}  

P(-1.96 < \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } < {(\hat p_1-\hat p_2)-(p_1-p_2)} < 1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } ) = 0.95

P( (\hat p_1-\hat p_2)-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } < (p_1-p_2) < (\hat p_1-\hat p_2)+1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} } ) = 0.95

<u>95% confidence interval for</u> (p_1-p_2) =

[(\hat p_1-\hat p_2)-1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }, (\hat p_1-\hat p_2)+1.96 \times {\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+ \frac{\hat p_2(1-\hat p_2)}{n_2}} }]

= [ (0.25-0.275)-1.96 \times {\sqrt{\frac{0.25(1-0.25)}{1000}+ \frac{0.275(1-0.275)}{1000}} }, (0.25-0.275)+1.96 \times {\sqrt{\frac{0.25(1-0.25)}{1000}+ \frac{0.275(1-0.275)}{1000}} } ]

 = [-0.064 , 0.014]

Therefore, 95% confidence interval for the difference between the proportions of males and females who have the blood disorder is [-0.064 , 0.014].

8 0
3 years ago
PLEASE HELP BEFORE 10:00AM EST PLEASE!!!!!!!!! PLEASE SHOW WORK IF YOU CAN!!
Tju [1.3M]
1. answer is $246.68 (rounded) because 230 x 1.0725 (multiplier) is $246.675.
2. answer is B
3. answer is A rounded because you will get (51.5962...)
4. answer is A because when divide 40 by 42.59 you get 1.06475 (but that is the multiplier) so the answer is A
5. answer is A because 12000x 1.04 is 12480 and 12480-12000=480
6.I guess the answer is D but the total he earns is $2440 but from the one car he earns $2240 +$200 (which he earns anyway)
7.answer is A $9.16
8. the answer is B
(J-)Hope this helps
3 0
3 years ago
Question 8<br> Find the value of "X". Round to the nearest tenth.
jekas [21]

Answer:

8

Step-by-step explanation:

The intersecting chord theorem is expressed as;

7 * x = 4 * 14

7x = 56

Divide both sides by 7

7x/7 = 56/7

x = 8

Hence the value of x is 8

5 0
2 years ago
2. Gabby worked 48 hours this week. Her regular pay rate is $15 per hour. How much is
Deffense [45]

Answer:

$720

Step-by-step explanation:

48 x 15 = 720

5 0
3 years ago
Read 2 more answers
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