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kolbaska11 [484]
2 years ago
5

Of 360 consumers polled some purchased ice cream some purchase frozen yogurt and some purchased both if 260 people polled purcha

sed ice cream and 250 purchased both ice cream and frozen yogurt how many people purchased frozen yogurt?
Mathematics
1 answer:
Xelga [282]2 years ago
8 0

Total customers are = 360

Number of polled people who purchased ice cream = 260

Number of polled people who purchased both ice cream and yogurt = 250

Hence, people who purchased only ice cream are=260-250=10

And 360-10=350 are people who purchased yogurt.

So, people who purchased yogurt only = 360-(250+10)=100


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Answer:

1. <u>The correct answer is 46%</u>

2. <u>The correct answer is .07</u>

<u>3. The correct answer is (34%,58%)</u>

4. <u>The correct answer is (32%,60%)</u>

Step-by-step explanation:

1. Let's calculate the percentage or proportion of patients that were dogs:

p = (7 + 4 + 5 + 5 + 2)/50 = 23/50 = 0.46

<u>The correct answer is 46%</u>

2. Let's estimate the standard error, using the given formula, this way:

S.e = √ (0.46 * 0.54)/50 = √0.049 = 0.07

<u>The correct answer is .07</u>

<u>3. </u>Let's calculate the confidence limits of the 90% confidence interval, this way:

Confidence limits = proportion +/- 1.645 * standard error

Confidence limits = 0.46 +/- 1.645 * 0.07

Confidence limits = 0.46 +/- 0.12

Confidence limits = 0.34, 0.58

<u>The correct answer is (34%,58%)</u>

4. <u> </u>Let's calculate the confidence limits of the 95% confidence interval, this way:

Confidence limits = proportion +/- 1.96 * standard error

Confidence limits = 0.46 +/- 1.96 * 0.07

Confidence limits = 0.46 +/- 0.14

Confidence limits = 0.32, 0.60

<u>The correct answer is (32%,60%)</u>

3 0
2 years ago
In a given quadrilateral, each side is parallel to its opposite side and the diagonals are not perpendicular. What could it be?
Assoli18 [71]
Answer
<span>A. Rectangle
</span><span>D. Parallelogram

Explanation
The four choices are all quadrilaterals with with at least a pair of parallel sides. 
A rectangle, a square, and a rhombus have opposite sides been parallel. 
For a square and a rhombus, the diagonals are perpendicular. 

The diagonals of a rectangle and a parallelograms are not perpendicular. 
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</span>
5 0
2 years ago
Read 2 more answers
A central angle, thata, of a circle with radius 16 inches intercepts an arc of 19.36 inches. Find thata.
kaheart [24]
Theta*
\theta=\frac{19.36}{16}=1.21 radians.
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2 years ago
Read 2 more answers
A bag contains 15 dark chocolates, 16 caramel chocolates, and 19 milk chocolates. The probability that Amber’s teacher distribut
Alja [10]
The answer is 31/125 <span>≈ 0.25.</span>

To calculate this, we will use both addition rule and multiplication rule.
The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens, you will use the addition rule. In this method, the possibilities of each event are added. So, we will use the addition rule to calculate<span> the probability that the teacher randomly picks either a caramel chocolate (1st event) or a dark chocolate (2nd event):
1. There are 16 caramel chocolates out of 50 chocolates in total. Thus, the probability that a caramel chocolate is picked is 16/50.
</span>2. There are 15 chocolates out of 50 chocolates in total. Thus, the probability that a caramel chocolate is picked is 15/50.<span>
ADDITION RULE:
16/50 + 15/50 = 31/50
The probability that teacher </span>picks either a caramel chocolate or a dark chocolate is 31/50.

The multiplication rule calculates the probability that both of two events will occur. In this method, the possibilities of each event are multiplied. So, we will use the multiplication rule to calculate the probability that the teacher distributes the chocolates among students (1st event) and that  she randomly picks either a caramel chocolate or a dark chocolate (2nd event):

1. The probability that the teacher distributes the chocolates  among students is 0.4 = 4/10.

2. The probability that teacher picks either a caramel chocolate or a dark chocolate is 31/50.

MULTIPLICATION RULE:

4/10 × 31/50 = 124/500 = 31/125 ≈ 0.25

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Answer:

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Step-by-step explanation:

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