What's 624 divided by 27 showing the work?

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:

$\pi + M = 0.26 + 0.05 = 0.31$

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

4 0

2 years ago

A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel.If almonds cost ₹288 per kg and cashew ke

slamgirl [31]

Answer:

Almonds = 400grams

Cashew = 300 grams

Step-by-step explanation:

Let the grams of cashew be represented by = C

the grams of almonds be represented by = A

A 700 g dry fruit pack costs ₹216 .It contains some almonds and the rest cashew kernel

C + A = 700g ......Equation 1

C = 700 - A

If almonds cost ₹288 per kg and cashew kernel cost ₹336 per kg

Let's convert them to grams

1 kg = 1000grams

For almonds

= 288/1000 = 0.288g

For cashew

= 336/1000 = 0.336g

Hence,

0.288 × A + 0.336g × C = ₹216

0.288A + 0.336C = 216

From Equation 1, substitute 700 - A for C in Equation 2

0.288A + 0.336(700 - A) = 216

0.288A + 235.2 - 0.336A = 216

Collect like terms

0.288A - 0.336A = 216 - 235.2

- 0.048A = -19.2

A = -19.2/-0.048

A = 400 grams

Substitute 400g for a in Equation 1

C + A = 700g ......Equation 1

= C + 400g = 700g

C = 700g - 400g

C = 300g

Therefore, the number of grams of Almonds = 400grams

Cashew = 300 grams

6 0

2 years ago

Find the range of allowable values based on a measure of 130 inches if the values can vary by 1.4%.

olganol [36]

Answer:

130 ± 1.82 inches i.e the range of the values is 128.18 inches to 131.82 inches.

Step-by-step explanation:

The range of values required here implies the values fall between the least and maximum values.

Since the values can vary by 1.4%, the range can be determined by:

1.4% of 130 = $\frac{1.4}{100}$ x 130

= 0.014 x 130

= 1.82

The addition or subtraction of 1.82 to/from 130 inches gives the required range.

i.e the range of allowable values = 130 ± 1.82 inches.

Thus,

130 - 1.82 = 128.18 inches

130 + 1.82 = 131.82 inches

The values falls between 128.18 inches to 131.82 inches.

6 0

2 years ago

Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below. 4(x – 1) – x = 3(x + 5) – 11 4x – 4 – x

OLga [1]

Solving an equation means finding the value of x which will make the equation true.

We need to undo whatever is done to x to get it by itself.

$4(x-1)-x = 3(x + 5)-11\\Distributing \; 4 \; and \; 3 \; in \; right \; and \; left \; side \; of \; the \; equation\\\\ 4x-4-x=3x+15-11\\Combine \; like \; terms\\\\3x-4=3x+4\\Subtract \; 3x \; on \; both \; sides\\\\3x-3x-4=3x-3x+4\\ Combine \; like \; terms\\\\-4=4$

Conclusion:

Since we end up with an equation which is not TRUE, there is NO solution for this equation. If we graph both the equations, they will end up as a parallel lines which will never meet.

4 0

2 years ago

Read 2 more answers

You want to rent a limousine for a trip to the city. The limo costs $700 for the night and $0.15 per mile. You have $750 to spen

frez [133]

The first thing I would do is write an expression for the amount the limo will cost in terms of the number of miles you drive. In this scenario, the cost=.15(mile)+700.
Now is the question, should the limo cost more or less than $750 to stay on budget? The answer is you should spend less than $750. Thus, when writing the inequality, or .15m+700<750. However, you could spend exactly $750 so you inequality should really be .15m+700≤750. Now you just need to solve this for the number of miles you can drive.

First, subtract 700 from both sides and you are left with .15m≤50
Then divide both sides by .15 and you are left with m ≤ 333.33. Thus, the limo can only travel 333.33 miles.
please make this the brainliest answer

5 0

2 years ago