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3 years ago

What is the probability of the spinner stopping on an even number?

Mathematics

2 answers:

Gnesinka [82]3 years ago

6 0

Answer:

D because thee are 5 even numbers

alisha [4.7K]3 years ago

5 0

Answer:

Step-by-step explanation:

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Quadrilateral ABCD is inscribed in this circle.

Ilya [14]

Hello,

When you have an inscribed quadrilateral, the opposite sides are supplementary.

So you can write and solve the following equation.
x + 6x + 19 = 180
7x + 19 = 180
7x = 161
x = 23

Now, plug in 23 for X and we will find the measurement of B.
6(23) + 19
138 + 19
157

The measure of angle B is 157 degrees. (The picture is not drawn to scale)

Good luck,
MrEQ

3 0

3 years ago

An equation that models the sequence 400, 200, 100, 50, ...

Serga [27]

For this, let's have:
n represent each number, the number after it is its place in sequence
/ means divide

n1 /2 = n2, etc.

3 0

2 years ago

The pyramid shown has a square base that is 24 inches on each side. The slant height is 20 inches. What is the surface area of t

pashok25 [27]

The surface area for this is 1536 units.

4 0

2 years ago

Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another br

Lina20 [59]

Answer:

The differential equation for the amount of salt A(t) in the tank at a time t > 0 is $\frac{dA}{dt}=12 - \frac{2A(t)}{500+t}$ .

Step-by-step explanation:

We are given that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min.

The concentration of the solution entering is 4 lb/gal.

Firstly, as we know that the rate of change in the amount of salt with respect to time is given by;

$\frac{dA}{dt}= \text{R}_i_n - \text{R}_o_u_t$

where, $\text{R}_i_n$ = concentration of salt in the inflow $\times$ input rate of brine solution

and $\text{R}_o_u_t$ = concentration of salt in the outflow $\times$ outflow rate of brine solution

So, $\text{R}_i_n$ = 4 lb/gal $\times$ 3 gal/min = 12 lb/gal

Now, the rate of accumulation = Rate of input of solution - Rate of output of solution

= 3 gal/min - 2 gal/min

= 1 gal/min.

It is stated that a large mixing tank initially holds 500 gallons of water, so after t minutes it will hold (500 + t) gallons in the tank.

So, $\text{R}_o_u_t$ = concentration of salt in the outflow $\times$ outflow rate of brine solution

= $\frac{A(t)}{500+t} \text{ lb/gal } \times 2 \text{ gal/min}$ = $\frac{2A(t)}{500+t} \text{ lb/min }$

Now, the differential equation for the amount of salt A(t) in the tank at a time t > 0 is given by;

= $\frac{dA}{dt}=12\text{ lb/min } - \frac{2A(t)}{500+t} \text{ lb/min }$

or $\frac{dA}{dt}=12 - \frac{2A(t)}{500+t}$ .

4 0

2 years ago

Two fair dice are rolled 3 times and the sum of the numbers that come up is recorded. Find the probability of these events. a. T

alexandr402 [8]

Answer:

Step-by-step explanation:

Given that two fair dice are rolled 3 times and the sum of the numbers that come up is recorded.

a) The sum is 4 on each of the three rolls.

(1,3) (2,2) (3,1) HEnce for one throw prob = 3/36 =1/12

Prob for getting same sum 4 in 3 rolls = $(\frac{1}{12} )^3$

(since each trial is independent)

b) Prob sum =4 in exactly 2 rolls

= $3C2 (1/12)^2 (11/12)$ = $\frac{33}{12^3}$

5 0

2 years ago