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3 years ago

2. Justin is 11.75 feet below sea level. He swims deeper into

Mathematics

1 answer:

Alenkasestr [34]3 years ago

5 0

Answer:

he would be at 16.50ft. below sea level.

Step-by-step explanation:

If you are below sea level, the feet would be negative. -11.75 + -4.75 would be -16.50ft below sea level.

Let me know if this helps!!!!

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Solve each of the following equations for xx using the same technique as was used in the Opening Exercise.

Brrunno [24]

Answer:

The value of the x is 1/9.

Step-by-step explanation:

Data provided in the question is:

$3^2/x=81$

To find out:-

the value of x.

Solution for the equation:-

$3^2/x = 81\\9/x=81\\9/81=x\\1/9=x\\$

On solving the given question or equation by using mathematics of algebra we find out the value of x to be 1/9.

7 0

3 years ago

Which of the following is three-dimensional and infinitely large?

dexar [7]

Answer:

Option C Geometric space

Step-by-step explanation:

Which of the following is three-dimensional and infinitely large?

<u><em>Verify each case</em></u>

case A) A plane is two-dimensional and infinitely large.

case B) A line is infinitely large but is only one-dimensional

case C) Geometric space is three-dimensional and infinitely large

case D) A solid is three-dimensional, but not infinite

therefore

The answer is Geometric space

5 0

3 years ago

How does the amount in Anaya's bank account change on Monday?

ivann1987 [24]

Answer:

it decreases by 31.50 ur welcome

Step-by-step explanation:

4 0

2 years ago

A culture started with 1,500 bacteria. After 5 hours it grew to 2,300 bacteria. How many bacteria with be present after 12 hours

Fynjy0 [20]

Answer:

4185

Step-by-step explanation:

A culture of bacteria grows exponentially according to the following general exponential growth function;

$P_{t}=P_{0}e^{kt}$

where;

p(t) is the population at any given time t.

p(0) is the initial population

k is the growth constant

From the information given we have;

p(0) = 1500

at t = 5, p(t) = 2300; p(5) = 2300

We shall use this information to determine the value of k;

$2300=1500e^{5k}$

Divide both sides by 1500;

$\frac{23}{15}=e^{5k}\\\\ln(\frac{23}{15})=5k\\\\k=0.08549$

Therefore, the population of the bacteria at any time t is given by;

$P_{t}=1500e^{0.08549t}\\\\P(12)=1500e^{0.08549(12)}=4184.3$

8 0

3 years ago

Three balanced coins are tossed independently. One of the variables of interest is Y1, the number of heads. Let Y2 denote the am

sesenic [268]

Answer:

a) the joint probability distribution function is

P(y1,y2)=

C(3-y1,y2-1)/8, for 1≤y2≤4-y1 and 1≤y1≤3 ,

1/8 for (y1,y2)=(-1 ,0)

0 otherwise

b) the probability is 50% (F(2,1)= 1/2)

Step-by-step explanation:

for the variable Y1, we start with the negative binomial distribution, with true or false values:

p(r,x)=C(x+r-1,r-1)*p^r*(1-p)^x , where x= number of false experiments until a number r of true values is achieved, and C(a,b)=number of combinations of b in a values. if we set r=1 (fist head) and y1=x+1 (except of y1=-1)

p(y1)= C(y1,0)*p^0*(1-p)^(y1-1) = p*(1-p)^(y1-1)

for the variable Y2, we begin with the binomial distribution:

p(n,x)= C(n,x)*p^x*(1-p)^(n-x) , n= number of times the coin is tossed, x= number of heads obtained , p = probability of obtaining heads when the coin is tossed once.

if we set n=3-y1 (remaining coins that can be tail or head), and x=y2-1 (since we already know the first head appeared), we calculate the probability of p(y2) in case of y1 ( or p(y2|y1) )

p(y2|y1)= C(3-y1, y2-1)*p^(y2-1)*(1-p)^(4-y1-y2)

Now using the theorem of Bayes:

P(y2,y1)=p(y2∩y1)=p(y2|y1)*p(y1) = C(3-y1,y2-1)*p^y2*(1-p)^(3-y2)

since the coins are balanced p= 0,5

P(y2,y1)= C(3-y1,y2-1)*0,5^y2*(1-0,5)^(3-y2)= C(3-y1,y2-1)*0,5^3=C(3-y1,y2-1)/8

therefore

P(y2,y1)=

C(3-y1,y2-1)/8, for 1≤y2≤4-y1 and 1≤y1≤3 ,

1/8 for (y1,y2)=(-1 ,0)

0 otherwise

b) F(2,1)= P(y=1,y2<2)+P(y=(-1),y2=0)= [C(2,0)/8+C(2,1)/8] + 1/8 = (1/8+2/8)+1/8=4/8=1/2

6 0

2 years ago