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2 years ago

Francine uses \dfrac23

Mathematics

1 answer:

andrew11 [14]2 years ago

6 0

Answer:

Step-by-step explanation:

If Francine uses 1/3 cup of pineapple juice for every 1/2 cup of orange juice to make a smoothie then:

1/3 cup of pineapple = 1/2cup of juice

We need to know the amount he will use for 1 cup of Orange juice, say;

x cup of pineapple = 1cup of Orange juice

Equating both

1/3 cup of pineapple = 1/2cup of juice

x cup of pineapple = 1cup of Orange juice

Cross multiply

1/2 × x = 1/3 × 1

x/2 = 1/3

3x = 2

x = 2/3

Hence he will need 2/3 cups of pineapple for 1 cup of Orange juice

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In one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the enti

jekas [21]

Answer:

$X \sim Hyp (N = 810, M=102, n=4)$

$P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}$

And solving we got:

$P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583$

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583

Step-by-step explanation:

For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:

$X \sim Hyp (N = 810, M=102, n=4)$

$P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}$

Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes

And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:

$P(X=0)$

And using the probability mass function we got:

$P(X=0) = \frac{(102C0)(810-102 C 4-0)}{810C4}$

And solving we got:

$P(X=0)= \frac{(102C0) (708C4)}{810C4} = 0.583$

So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583

6 0

3 years ago

Solve the right angle trig. round to the nearest tenth.

Tresset [83]

Answer:

x ≈ 58.9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

[Right Triangles Only] tan∅ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing side length.

Step 2: Identify Variables

POV from the angle measure

Angle = 23°

Opposite Leg = 25

Adjacent Leg = x

Step 3: Solve for x

Substitution [tangent]: tan23° = 25/x
Multiply x on both sides: xtan23° = 25
Isolate x: x = 25/tan23°
Evaluate: x = 58.8963
Round: x ≈ 58.9

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3 years ago

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Y_Kistochka [10]

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Paha777 [63]

Answer:

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