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svetoff [14.1K]
2 years ago
14

a punch recipe that serves 24 people clothes for four leaders of lemon-lime soda,2 pints of sherbet and 6 cups of ice how much o

f each ingredient would you need to make an identical recipe that serves 12 people
Mathematics
2 answers:
Aleksandr-060686 [28]2 years ago
7 0
2 liters of soda, 1 pint of sherbert , and 3 cups of ice
Svetlanka [38]2 years ago
4 0
2 liters of lemon-lime soda,1 pint of sherbet and 3 cups of ice. The reason for this answer is, Since 12 is half(1/2)of 24 just divide each of the ingredients by 2 because half also means that the previous number is twice the amount of this number.To find how much of each ingredient serves 12 people
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In studies for a​ medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.
timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

p = 0.03

q = 1 - 0.03 = 0.97

The mean is

\mu  = np

\mu = 643 \times 0.03 = 19.29

The standard deviation is

\sigma =  \sqrt{npq}

\sigma =  \sqrt{643 \times 0.03 \times 0.97}

\sigma =4.33

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \:  \frac{24.5 - 19.29}{4.33} ) \\  = P( 0.97\: < \: z \: < \:  1.20) \\  = 0.051

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

P(X \: < \: 24.5) = P(z \: < \:  \frac{24.5 - 19.29}{4.33} )  \\ =   P(z \: < \: 1.20)  \\  = 0.8849

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

P(X \: > \: 10.5) = P(z \: > \:  \frac{10.5 - 19.29}{4.33} )  \\ = P(z \: > \:  - 2.03)

= 0.9788

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

P(23.5  \:  <  \: X \:  <  \: 28.5) = P( \frac{23.5 - 19.29}{4.33}   \:  <  \: z \:  <  \:  \frac{28.5 - 19.29}{4.33} ) \\  = P( 0.97\:  <  \: z \:  <  \: 2.13) \\  = 0.1494

3 0
3 years ago
Multiplying polynomials find the product (2a-1)(8a-5)
Yuki888 [10]
(2a-1)(8a-5)=2a\cdot 8a-2a\cdot 5-8a\cdot 1-5\cdot (-1)=\\ \\=16a^2-10a-8a+5=16a^2-18a +5


4 0
2 years ago
Read 2 more answers
Distributive property of 16x + 24
mina [271]

Answer:

8(2x+3)

Step-by-step explanation:

Find the GCF (greatest common factor) of 16 and 24

The GCF is 8

divide both by eight

there you go....

I'm not good at explaining this ;-; ,my sincere apologies.

Hopefully I was helpful!

4 0
3 years ago
Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue
Murljashka [212]

Answer: 1. 7:10

2. 10 blue cans

15 yellow cans.

3. 4 cans of blue paint.

5 cans of yellow paint.

4. 2 blue cans and 3 yellow cans.

Step-by-step explanation:

1. 14 blue paint cans/20 yellow paint cans=

14/20=

7/10 ==> 7:10

2. 4+6 blue cans=10 blue cans

6+9 yellow cans=15 yellow cans.

3. 14-10=4 cans of blue paint.

20-15=5 cans of yellow paint.

4. 10 blue cans/15 yellow cans=

10/15=

2/3 ==> 2:3 ==> 2 blue cans and 3 yellow cans.

5 0
9 months ago
Read 2 more answers
.................. ​
sveticcg [70]

Answer:

y = 100°

Step-by-step explanation:

x = 40° (vertical angles are congruent)

y is an exterior angel of a triangle that has two opposite internal angles, x (40°) and 60°.

According to the exterior angle of a triangle, thus:

y = 40 + 60

y = 100°

3 0
2 years ago
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