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uysha [10]
2 years ago
13

A box of 24 fruit-flavored ice cream bars includes 6 pineapple, 6 grape, 6 mango, and 6 lemon. You randomly select one ice cream

bar from the box. Which THREE statements are correct? A) The data represents a uniform probability model. B) The probability of selecting a grape bar is 1 2 . C) The probability of not selecting a pineapple bar is 3 4 . D) Each flavor has the same probability of being randomly selected. E) The probability of selecting a bar other than a grape or mango is 0.25.
Mathematics
1 answer:
aniked [119]2 years ago
8 0

Answer:

Step-by-step explanation:

A, C and D

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An urn contains 12 balls, of which 4 are white.
wel

Answer:

a) \frac{1}{3}

b) \frac{4}{12}\,,\,\frac{4}{11}\,,\,\frac{4}{10}\,,...

Step-by-step explanation:

Number of balls in the urn = 12

Number of white balls in the urn = 4

So, number of balls which are not white = 12 - 4 = 8

We know that probability = No. of outcomes/Total number of outcomes

Let A_i\,,\,B_i\,,\,C_i denotes the event of getting white ball by A, B and C

a) each ball is replaced after being drawn.

Probability = Number of white balls/Total number of balls

Solution: P(A_i)=P(B_i)=P(C_i)=\frac{4}{12}=\frac{1}{3}

b)the balls that are withdrawn are not replaced.

Solution:

If A wins: P(A_1)=\frac{4}{12}=\frac{1}{3}

If A lost and B wins: P\left ( B_1|A_1^{c} \right )=\frac{4}{11}

If A and B lost and C wins: P\left ( C_1|A_1^{c}\,B_1^{c} \right )=\frac{4}{10}

and so on....

4 0
3 years ago
Please help :) thank you!
const2013 [10]

Answer:

A

Step-by-step explanation:

just plug in the formula

5 0
3 years ago
Write an equation With the slope equal to -4/5 and (0,8)
Murljashka [212]

Answer: y = (-4/5)x + 8

Solution

The equation of line is

y = mx + b

Where

y = y coordinate

m = slope

x = x coordinate

b = y intercept

In order to write the equation of line we need to find the y-intercept (b)

substitute the slope (-4/5)  and coordinates given (0,8) ,

y = mx + b

8 = -4/5 (0) + b

8 = b

So,

y = (-4/5)x + 8



3 0
3 years ago
In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300
Oduvanchick [21]

Answer:

 The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total  sample 2 number  (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The  hypothesis (Null) ....>  H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ =  0.3 - 0.25/√0.2667  (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722,  then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

3 0
3 years ago
Can someone please help me out with my homework
Lina20 [59]
D. right 
a right angle always equals a right triangle
3 0
3 years ago
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