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Vanyuwa [196]
3 years ago
12

A survey asked students at Wilson Academy which status they would prefer—to be happy, healthy, or rich—and how much pressure the

y felt from their homework. The two-way table of row relative frequencies below shows the data.

Mathematics
1 answer:
Brrunno [24]3 years ago
7 0

Answer:

A. A student who prefers to be healthy is more likely to feel very little pressure from homework than a student who prefers to be rich.

Step-by-step explanation:

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13. What is the result of adding 5.4a + 7.1 and -1.28 - 6.3?
den301095 [7]

Answer:

C. 4.2a + 0.8

Step-by-step explanation:

Given:

The two binomials given for addition are:

5.4a+7.1 and -1.2a-6.3

Now, adding both the binomials, we get:

5.4a+7.1+(-1.2a-6.3)

Distributing the positive sign inside the second binomial, we get:

5.4a+7.1-1.2a-6.3

Now, combining like terms using the commutative property of addition, we get:

(5.4a-1.2a)+(7.1-6.3)

Simplifying the above expression, we get:

(5.4-1.2)a+0.8\\4.2a+0.8

Therefore, the resulting addition of the given binomials is 4.2a+0.8

Hence, option C is the correct answer.

8 0
3 years ago
Please help I have no clue how to do this​
Alinara [238K]

Step-by-step explanation:

It's a question of trigonometry.

You need to remember that tangent (tan) stands for Perpendicular / Base.

So, tan P = QR / PR

By Pythagoras Theorem,

34² = 30² + x²

x² = 34² - 30²

x² = 1156 - 900

x² = 256

x = 16

Now, placing the values,

tan P = 30 / 16

tan P = 1.875

HOPE IT HELPS ^_^

5 0
2 years ago
Which pair of undefined terms is used to define a ray?
Kryger [21]
The answer to this problem is line segment
7 0
3 years ago
Read 2 more answers
Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion
worty [1.4K]

Full question:

Experts estimate that when levees break in the aftermath of a hurricane, water can flow into a city at a peak rate of 8 billion gallons per day. There are 7.5 gallons in 1 cubic foot. Use this information to complete parts (a) and (b) below. Click the loon to view the USCS measurements a. Find the flow rate in units of cubic feet per second (cs). Compare this flow rate to a river with an average flow rate of 30,000 cfs. The flow rate is cfs, which is approximately % of the flow rate of the river (Round to the nearest whole number as needed.) b. Assume that the flooded part of the city had an area of 8 square miles Estimate how much in foot) the water level rose in one day at the given flow rate. The water level rose approximately (Round to the nearest tenth as needed.)

Answer and explanation:

Peak rate= 8 billion gallons per day

7.5 gallons = 1 cubic feet

Given that

8 billion gallons= 24 hrs

And 24 hrs = 86400 seconds

8 billion gallons =86400 seconds

In one second =8000,000,000/86400

= 92,592.593 gallons

Units of cubic feet per second =92592.593/7.5= 12345.68 cubic feets

Therefore the flow rate in cubic feet per second = 12345.68 cubic feets

If we compare this to 30000 cubic feet per second flow rate of the river, it would be 12345.68/30000*100/1= 41.152% of the flow rate of the river

B) Given that the total cubic feet per day =86400*12345.68= 1066666752 cubic feet

And 1 mile = 5280 feet

1 square mile = 27878400 square feet

8 square miles = 8 × 27878400 = 223027200 square feet

To calculate the height,

The number of foot by which the water level rose in one day is

1066666752/223027200 = 4.7826 feet per day

5 0
3 years ago
6.3 The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a random variable X having a co
dexar [7]

Answer:

a) 60% probability that on a given day the amount of coffee dispensed by this machine will be at most 8.8 liters.

b) 70% probability that on a given day the amount of coffee dispensed by this machine will be more than 7.4 liters but less than 9.5 liters

c) 50% probability that on a given day the amount of coffee dispensed by this machine will be at least 8.5 liters

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 X being higher than x is:

P(X > x) = 1 - \frac{x - a}{b-a}

The probability of X being between c and d is:

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

For this problem, we have that:

a = 7, b = 10

(a) at most 8.8 liters;

P(X \leq 8.8) = \frac{8.8 - 7}{10 - 7} = 0.6

60% probability that on a given day the amount of coffee dispensed by this machine will be at most 8.8 liters.

(b) more than 7.4 liters but less than 9.5 liters;

P(7.4 \leq X \leq 9.5) = \frac{9.5 - 7.4}{10 - 7} = 0.7

70% probability that on a given day the amount of coffee dispensed by this machine will be more than 7.4 liters but less than 9.5 liters

(c) at least 8.5 liters.

P(X > 8.5) = 1 - \frac{8.5 - 7}{10 - 7} = 0.5

50% probability that on a given day the amount of coffee dispensed by this machine will be at least 8.5 liters

3 0
3 years ago
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