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ludmilkaskok [199]
2 years ago
5

To make 12 ounces of hot chocolate, 3 tablespoons of cocoa are needed. How many tablespoons of cocoa are needed to make 72 ounce

s of hot chocolate? 4 tablespoons 10 tablespoons 12 tablespoons 18 tablespoons
Mathematics
1 answer:
astra-53 [7]2 years ago
3 0
18 tablespoons 12 fits into 72 6 times and 6x3 is 18
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Compare positive and negative slope for linear relationships. How are they the same? How are they different?
Gekata [30.6K]

Answer:

Please check explanations

Step-by-step explanation:

Slopes are generally the ratio of rise(vertical difference) to fall (horizontal difference) for set of points lying on a straight line

Positive slopes show a positive relationship between the two things we are considering while a negative one shows otherwise

They are the same in the sense that they actually represent a constant change between the coordinates of the points in the relationship we are considering.

They are different in the sense that while one represents a positive change, whereby both axes move in the same direction ( rise at same rate, fall at same rate) , the second represent a relationship in which they move in opposite directions. While one falls, the other rises and while the other rises, the second one falls which indicates an opposing movement type between the two

5 0
2 years ago
Multiply.<br><br> (−7.3)(−0.08)<br><br> Enter your answer in the box.
BARSIC [14]

Answer:

  • 0.584

Step-by-step explanation:

A negative number times a negative number is a positive.

Hope this helps you!

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7 0
2 years ago
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A plastic sun visor allows light to pass through but reduces the intensity of the light. the intensity is reduced by 5% if the p
irinina [24]

Answer: The equation is f(x) = 0.95^{x};

The piece of plastic has to have 10mm of thickness.

Step-by-step explanation: It is known that with 1 mm of thickness, 5% of the intensity is reduced. So, 95% of the light is transmitted.

For each milimetre added, "more" 95% of light is transmitted.

For example, if another milimetre of plastic is added, another 0.95 of light is transmitted:

0.95.0.95 = 0.9025 of light reach the visor

So, the model that relate thickness of plastic and intensity of light is:

f(x) = 0.95^{x}

in which:

f(x) is the intensity of light;

x is thickness in mm;

Using the equation, the thickness necessary to reduce intensity to 60% is:

f(x) = 0.95^{x}

0.6 = 0.95^{x}

log 0.6 = log 0.95^{x}

x. log (0.95) = log (0.6)

x = \frac{log 0.6}{log 0.95}

x = 9.95

x ≈ 10

The thickness necessary to reduce intensity of light to 60% is 10mm.

6 0
2 years ago
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A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann
emmasim [6.3K]

Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A confidence interval has two bounds, the lower and the upper

Lower bound:

\pi - M

Upper bound:

\pi + M

In this problem, we have that:

\pi = 0.26, M = 0.05

Lower bound:

\pi - M = 0.26 - 0.05 = 0.21

Upper bound:

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The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

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3 years ago
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The value of x is 84 degrees
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