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3 years ago

Find the value of x and y. y=2x and 1.85x+3.7y=12.95

Mathematics

1 answer:

Len [333]3 years ago

3 0

Answer:

x=1.4 y=2.8

Step-by-step explanation:

Lets substitute y with 2x. We get: 1.85x+7.4x=12.95.

Simplifying by combining x: 9.25x=12.95

Then you just divide 12.95 by 9.25: x=1.4

Now for y. We know why is 2x so we just have to multiply x by 2: y=2x, y=2.8.

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Answer:

Step-by-step explanation:

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3 years ago

A) A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and variou

Crank

Answer:

Step-by-step explanation:

Let x be the random variable representing the force in kilograms (kg) applied to the tablet. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 11.5

σ = 0.2

1)/the probability that the process specifications call for applying a force between 11.2 and 12.2 kg is expressed as

P(11.2 ≤ x ≤ 12.2)

For x = 11.2,

z = (11.2 - 11.5)/0.2 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.0668

For x = 12.2

z = (12.2 - 11.5)/0.2 = 3.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.9998

Therefore,

P(11.2 ≤ x ≤ 12.2) = 0.9998 - 0.0668 = 0.933

The percent of tablets are subject to a force that meets the specifications is

0.933 × 100 = 93.3%

ii) P(11.2 ≤ x ≤ 12.2)

For x = 11.2,

z = (11.2 - 11.7)/0.2 = - 2.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.00621

For x = 12.2

z = (12.2 - 11.7)/0.2 = 2.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.9938

Therefore,

P(11.2 ≤ x ≤ 12.2) = 0.9938 - 0.00621 = 0.988

The percent of tablets are subject to a force that meets the specifications is

0.988 × 100 = 98.8%

iii) for 25th percentile, the z score corresponding z score corresponding to the the probability value of 0.25 is - 0.675

Therefore,

- 0.675 = (x - 11.5)/0.2

0.2 × - 0.675 = x - 11.5

- 0.135 = x - 11.5

x = - 0.135 + 11.5

x = 11.4kg

for 75th percentile, the z score corresponding z score corresponding to the the probability value of 0.75 is 0.675

Therefore,

0.675 = (x - 11.5)/0.2

0.2 × - 0.675 = x - 11.5

0.135 = x - 11.5

x = 0.135 + 11.5

x = 11.6kg

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2 years ago

If there is 720 pints in one hour how many quarts can be made in a minute

Vedmedyk [2.9K]

That could make 360 quarts in a minute. Hope I helped :)

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3 years ago

The perimeter of a rectangular window is 34 feet. The width of the window is 5 feet more than the length. What are the dimension

Nonamiya [84]

Step-by-step explanation:

34 = 2(w + w-3)

solving for 'w' we have w=10

10-3 = 7

the width of the window is 10 feet, its length is 7 feet

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3 years ago

Q10: Determine the eccentricity, the type of conic, and the directrix for r = 11/6-5cos theta.

Marta_Voda [28]

Answer:

Eccentricity = 5/6

Type of conic section; Ellipse

Directrix; x = -11/5

Step-by-step explanation:

The first step would be to write the polar equation of the conic section in standard form by multiplying the numerator and denominator by 1/6;

$r=\frac{\frac{11}{6} }{1-\frac{5}{6}cos theta }$

The polar equation of the conic section is now in standard form;

The eccentricity is given by the coefficient of cos theta in which case this would be the value 5/6. Therefore, the eccentricity of this conic section is 5/6.

The eccentricity is clearly between 0 and 1, implying that the conic section is an Ellipse.

Since the conic section is in standard form, the numerator is the product of eccentricity and the value of the directrix, that is;

e*d = 11/6

5/6*d = 11/6

d = 11/5

Since the denominator has a minus sign then the ellipse opens towards the right and thus the equation of its directrix is;

x = -11/5

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2 years ago

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