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lukranit [14]
3 years ago
6

A park is in the shape of a rectangle. The park is 5/8 mile long and 2/3 mile wide. What is the area of the park?

Mathematics
1 answer:
Elenna [48]3 years ago
7 0
To find the area of a rectangle, you times the length and width together. 
So in this case, 
5/8 x 2/3 = 10/24. 
This can be simplified to 5/12
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Each person in a group of college students was identified by graduating year and asked when he or she preferred taking classes:
swat32

Answer:

<em>0.615</em>

Step-by-step explanation:

The frequency table is attached below.

We have to calculate, the probability that the student preferred morning classes given he or she is a junior.

i.e P(\text{Morning }|\text{ Junior})

We know that,

P(A\ |\ B)=\dfrac{P(A\ \cap\ B)}{P(B)}

So,

P(\text{Morning }|\text{ Junior})=\dfrac{P(\text{Morning }\cap \text{ Junior})}{P(\text{Junior})}

Putting the values from the table,

\dfrac{P(\text{Morning }\cap \text{ Junior})}{P(\text{Junior})}=\dfrac{\frac{16}{143}}{\frac{26}{143}}=\dfrac{16}{26}=0.615

3 0
3 years ago
15 balls are in bag of red and blue balls if 6 is red how many red balls must be added to bag so that probability is 2÷3​
Brut [27]

Answer: 12 red balls must be added

Step-by-step explanation:

Starting out with 15 balls, 6 red implies 9 blue. If blue remains 9, then we expect red to be 18 for a probability at 2/3. 18-6 = 12

6 0
3 years ago
Read 2 more answers
Analyze the diagram below Need CORRECT ANSWER BELOW!!!
Zarrin [17]

Answer:

D. 8

Step-by-step explanation:

The given diagram is a trapezium. We know that the consective sides of a trapezium are equal. so,

Putting the values of consecutive sides equal:

So, KI will be equal to LI

3x-7 = x+3

3x-7-x=x+3-x\\2x-7=3\\2x-7+7=3+7\\2x=10\\x=5

Putting the value of x in the equation of KI

3x-7

=3(5)-7

=15-7

=8

Hence, the correct answer is D. 8 ..

6 0
3 years ago
A right angle triangle is shown with hypotenuse equal to 10 centimeters. An acute angle of the triangle is labeled as x degrees
Nostrana [21]

The Question is incomplete the Complete Question is

Look at the triangle: A right angle triangle is shown with hypotenuse equal to 10 centimeters. An acute angle of the triangle is labeled as x degrees. The side adjacent to the acute angle has length 6 centimeters and the side opposite to the acute angle has length 8 centimeters. What is the value of tan x°?

Answer:

Therefore the value of tan x is

\tan x=\dfrac{4}{3}

Step-by-step explanation:

Given:

hypotenuse = 10 cm'

side adjacent to the acute angle 'x' = 6 cm.

side opposite to the acute angle 'x' = 8 cm.

To Find:

tan x = ?

Solution:

In Right Angle Triangle , Tan Identity we have

\tan x= \dfrac{\textrm{side opposite to angle x}}{\textrm{side adjacent to angle x}}

Substituting the values we get

\tan x= \dfrac{8}{6}=\dfrac{4}{3}

Therefore the value of tan x is

\tan x=\dfrac{4}{3}

4 0
3 years ago
(4) A spherical balloon is being inflated so that its diameter is increasing at a constant rate of 6 cm/min. How quickly is the
fredd [130]

In terms of its radius r, the volume of the balloon is

V(r)=\dfrac{4\pi}3r^3

The diameter d is twice the radius, so that in terms of its diameters, the balloon's volume is given by

V(d)=\dfrac{4\pi}3\left(\dfrac d2\right)^3=\dfrac\pi6d^3

Differentiate both sides with respect to time t:

\dfrac{\mathrm dV}{\mathrm dt}=\dfrac\pi2d^2\dfrac{\mathrm dd}{\mathrm dt}

The diameter increases at a rate of \frac{\mathrm dd}{\mathrm dt}=6\frac{\rm cm}{\rm min}. When the diameter is d=50\,\mathrm{cm}, we have

\dfrac{\mathrm dV}{\mathrm dt}=\dfrac\pi2(50\,\mathrm{cm})^2\left(6\frac{\rm cm}{\rm min}\right)=7500\pi\dfrac{\mathrm{cm}^3}{\rm min}

or about 23,562 cc/min (where cc = cubic centimeters)

5 0
3 years ago
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