Find the upper bound

In a survey 27% of the people chose salads over a meat dish and in all 81 people chose salads. How many people were in the surve

Kobotan [32]

27%=27/100

so 27/100=81/x

27x=8100 divide by 27
x=300

that the answer

6 0

3 years ago

A store sells

Fittoniya [83]

Answer:

36

Step-by-step explanation:

Total number of packages = 12

Each package contains 3 pens

SO we can write the equation as follows

3 * 12 = 36

so the total no of pens in a box = 36

3 0

3 years ago

Help please best answer

Anni [7]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~

When looking at this graph we see 2 things:

(1) How they made the graph, looks awful, anyway...

(2) They practically give you the answer...

When finding an answer to a question like this, you want to use a formula (like this):

A = t * p (where A is the amount of people, t is total amount of people, and p is percent of people / 100)...

So... we fill in the givens...

We know t = 400, and (by looking at the graph) we see that p is around 0.10 and 0.15. So for our sake we'll make p = 0.13 (about halfway)...

A = 400 * 0.13

A ~ 52

The answer is: About 52 people bought 20 items...

And because we got 52, and 52 is close to 54...

The Answer: B.) 54

5 0

3 years ago

In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces

nadya68 [22]

Answer:

a) 0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less

b) 0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c) 0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours

d) 86 should have a battery life of at least 9 hours.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

The probability of being higher than x is:

$P(X > x) = \frac{b - x}{b-a}$

The probability of being between c and d is:

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

Assume that battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

This means that $a = 8.5, b = 12$

a. What is the probability that the battery life for an iPad Mini will be 10 hours or less (to 4 decimals)?

$P(X \leq x) = \frac{x - a}{b-a}$

$P(X \leq 10) = \frac{10 - 8.5}{12 - 8.5} = 0.4286$

0.4286 = 42.86% probability that the battery life for an iPad Mini will be 10 hours or less.

b. What is the probability that the battery life for an iPad Mini will be at least 11 hours (to 4 decimals)?

$P(X > x) = \frac{b - x}{b-a}$

$P(X > 11) = \frac{12 - 11}{12 - 8.5} = 0.2857$

0.2857 = 28.57% probability that the battery life for an iPad Mini will be at least 11 hours

c. What is the probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours (to 4 decimals)?

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

$P(9.5 \leq X \leq 11.5) = \frac{11.5 - 9.5}{12 - 8.5} = 0.5714$

0.5714 = 57.14% probability that the battery life for an iPad Mini will be between 9.5 and 11.5 hours.

d. In a shipment of 100 iPad Minis, how many should have a battery life of at least 9 hours (to nearest whole value)?

Proportion of iPad Minis with a battery life of at least 9 hours.

$P(X > 11) = \frac{12 - 9}{12 - 8.5} = 0.8571$

Out of 100:

0.8571*100 = 85.71

To the nearest whole number

86 should have a battery life of at least 9 hours.

5 0

3 years ago

Solve the system of equations. −4x+3y=−2 y=x−1 x- y-

Kobotan [32]

Answer: x= -1

y= -2

Step-by-step explanation:

-4x+3y= -2

y=x-1

-------------------

-4x+3(x-1)= -2

-4x+3x-3= -2

-x=1

x= -1

y=-1-1

y=-2

6 0

4 years ago

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