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Nastasia [14]
2 years ago
7

Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle is in the square. Only answe

r if you can show you work, please!!

Mathematics
1 answer:
wel2 years ago
7 0

Answer:

0.07

Step-by-step explanation:

we know that

The probability that a point chosen randomly inside the rectangle is in the square is equal to divide the area of the square by the area of rectangle

Let

x-----> the area of square

y----> the area of rectangle

P -----> the probability

P=\frac{x}{y}

<em>Find the area of square (x)</em>

A=5^{2}=25\ in^{2}

<em>Find the area of rectangle (y)</em>

A=25*15=375\ in^{2}

Find the probability P

P=\frac{25}{375}=0.07

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The height in feet above the water of a diver can be modeled by ℎ() = −16*2 − 16 + 192, where t is the time in seconds after the
Maurinko [17]

h(t) is the height of the diver in feet above the water

Now it asks about the time at which diver reaches the water

When diver reaches the water , the height of diver from water should be zero

So we plug h(t) =0

So

-16t^2 -16 t +192 =0

divide whole equation by -16

t^2 +t -12 =0

we can now factor the quadratic equation

So we get

(t+4)(t-3) =0

plug each factor equal to zero and solve for t

t+4 =0 and t-3 =0

So t=-4 and t=3

Now time cannot be negative , So t=3

So time = 3 seconds

It takes 3 seconds for the diver to reach the water

3 0
3 years ago
Let f(x) = 1/x. Find a number b so that the average rate of change of f on the interval
Bezzdna [24]

Answer:

huh try multiplying

Step-by-step explanation:

6 0
3 years ago
3. sin t + cos2 t / sin t =
Charra [1.4K]
See the picture, please!!

7 0
3 years ago
Can someone please help me with this :(
mrs_skeptik [129]

Answer:

first find the surface area of one of the square and one of the triangle.

then multiple it by the number of square and triangle they have

finally add the total surface area of the triangle with the total surface area of the square.

Step-by-step explanation:

  1. for one square

area= base * width

= 10*10

=100

total area of square= number of square * area of one square

t=6*100

t=600

  • for one triangle

area = 1/2 base * height

= 1/2 *10*8.66

=43.3

total area of triangle=number of triangle* area of one triangle

t2=8*43.3

=346.4

total surface area= total surface area of the square+ total surface area of the triangle

=600+346.4

=946.4 in^2

5 0
3 years ago
Two factors of -48 have a difference of 19. The factor with a
sdas [7]

Answer:

13

Step-by-step explanation:

Given number = -48

Listing out the possible factors of -48 in pairs along with their difference:

Factors (F_1\times F_2)  Difference (F1-F2)   Difference (F_2-F_1)

-2\times 24                  -26                                  26

2\times -24                  26                                 -26

-3\times 16                   -19                                   19

3\times -16                   19                                  -19

-4\times 12                   -16                                   16

4\times -12                   16                                  -16

6\times -8                   -14                                   14

12\times -4                   14                                  -14

On listing out the factors we find out that two of the pairs have difference = 19

The pairs are -3, 16 and  3,-16

It is given that the factor with greater absolute value is positive. This means 16 would be positive while 3 would be negative.

So, our factors are -3, 16

The sum of the factors is = -3+16=13 (Answer)

3 0
3 years ago
Read 2 more answers
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