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yawa3891 [41]
2 years ago
8

A place from this table is chosen at random. let event A= the place is a city

Mathematics
2 answers:
topjm [15]2 years ago
8 0

Answer:

5/7 is the correct answer

Step-by-step explanation:

The probability of the place is at city are:

The total probability of the place is at city / The total possible outcomes

= 5 / 7

Hope this help you :3

statuscvo [17]2 years ago
4 0

Answer:

There are 7 places shown in the table which are , →{Rome, Tokyo, Houston, Peru, Miami, Toronto, Canada}

Out of which 5 are cities.

City={Rome, Tokyo, Houston,Miami, Toronto,}=5

It is given that a,place from the city is chosen.

Probability of an Event

           =\frac{\text{Total Favorable event}}{\text{Total possible outcome}}          

Probability of selecting a city from 7 places in which 5 are cities

         P(A)=\frac{_{1}^{5}\textrm{C}}{_{1}^{7}\textrm{C}}\\\\P(A)=\frac{5}{7}\\\\P(A^c)=1-P(A)\\\\=1-\frac{5}{7}\\\\=\frac{2}{7}    

Option B             

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The speed that a tsunami can travel is modeled by the equation s = 356 StartRoot d EndRoot , where S is the speed in kilometers
zalisa [80]

Answer:

0.32km

Step-by-step explanation:

The speed that a tsunami can travel is modeled by the equation s = 356 StartRoot d EndRoot , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers.

This is written mathematically as:

S = 356√d

What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?

S = 200km/hr

Hence:

200km/hr = 356√d

Divide both sides by 356

200/356 = 356√d/356

√d = 200/356

Square both sides

(√d)² = (200/356)²

d =(0.5617977528)²

d = 0.3156167151km

Approximately = 0.32km

6 0
2 years ago
If mBC = (9x-53) and mCD = (2x + 45) find mBAD
Rom4ik [11]

Answer:

m\angle BAD=73^o

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the value of x

Let

O ----> the center of the circle

we know that

Triangle BOC≅Triangle COD

m\angle BOC=arc\ BC ----> by central angle

m\angle COD=arc\ CD ----> by central angle

m\angle BOC=m\angle COD

therefore

arc\ BC=arc\ CD

substitute the given values

(9x-53)^o=(2x+45)^o

solve for x

9x-2x=45+53\\7x=98\\x=14

step 2

Find the measure of angle BAD

we know that

The inscribed angle is half that of the arc it comprises.

so

m\angle BAD=\frac{1}{2} [arc\ BC+arc\ CD]

arc\ BC=9(14)-53=73^o

arc\ CD=2(14)+45=73^o

substitute

m\angle BAD=\frac{1}{2} [73^o+73^o]=73^o

7 0
2 years ago
A veterinarian does research on the causes of enteroliths, stones that develop in the colon of horses. She suspects that feeding
skad [1K]

Answer: 8

Step-by-step explanation:

The degree of freedom for t-distribution of testing the differnce between the two population mean is given by :-

df= n_1+n_2-2

, where n_1 = Size of first sample.

n_1 = Size of second sample.

As per given ,

Veterinarian selects five horses that are known to have enteroliths and compares the number of flakes of alfalfa they have eaten over a month with the number of flakes eaten by five horses free of enteroliths.

i.e. n_1=5 and n_2=5

Now , If she calculates a two-sample confidence interval by hand for the difference in the mean number of flakes fed to horses with and without enteroliths the degrees of freedom she should use are

df= 5+5-2=8

Hence, the correct answer is 8.

8 0
2 years ago
bookstore ordered 1,528 packs of pens and 1,823 packs of pencils at the prices shown. how much did the bookstore spend on pens?
IgorC [24]
I found that the given prices are $ 4 per pack of pens and $ 3 per pack of penciles.

The question is how much the bookstore spent on pens.

Then you have to multiply the number packs of pens, which is 1,528, times the price per pack pens which is $ 4.

So, the answer is: 1528 packs of pens * $ 4 / pack of pens = $6112.


8 0
2 years ago
The segments shown below could form a triangle.
Rina8888 [55]

Answer:

A. True

Step-by-step explanation:

The Triangle Inequality Theorem says that the sum of any two sides must be greater than the third side. Let's see if this is true.

a + b

9 + 1 = 10>9

a + c

9 + 9 = 18>1

c + b

9 + 1 = 10>9

5 0
2 years ago
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