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lesya692 [45]
2 years ago
10

Santos flipped a coin 300 times. The coin landed heads up 175 times. Find the ratio of heads to total number of coin flips. Expr

ess as a simplified ratio.A baseball player went up to bat 250 times in a season. He hit the ball 100 times. Find the rate of balls hit to times at bat. Express as a simplified fraction.
Mathematics
1 answer:
Temka [501]2 years ago
4 0

Answer:

1) 7:12

2) 2:5

Step-by-step explanation:

175/300= 7/12 or 7:12

100/250= 2/5

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(5ab-4a-8)-(9ab-5) its an online geometry class,please help!i provided you 10 pts
Bumek [7]
(5ab-4a-8)-(9ab-5)
Ok just remember that the minus sign before the (9ab-5) is like a minus 1 so it changes the sign inside the bracket...
>>5ab-4a-8-9ab+5
>>-4ab-4a-3
I'm guessing you just have to leave it like that unless there are other parts to the question or whatever but that's that simplified as far as it can be!
7 0
3 years ago
What is the volume of the right rectangular prism? Enter your answer in the box.​
Nutka1998 [239]

Answer:

1000 cm²

Step-by-step explanation:

Given:

  • Length = 10 cm
  • Width = 12.5 cm
  • Height = 8 cm

<u>Formula:</u>

\text{Volume = Length} \times \text{Width} \times \text{Height}

Substitute the length, width, and the height of the prism to determine the volume of the prism.

\implies \text{Volume = 10} \times 12.5 \times 8

Simplify the right hand side of the equation, as needed;

\implies \text{Volume = 10} \times 12.5 \times 8

\implies \text{Volume =}\ 125 \times 8

\implies \boxed{\text{Volume =}\ 1000 \ \text{cm}^{2} }

Therefore, the volume of the prism is 1000 cm².

7 0
2 years ago
After your yearly checkup, the doctor has some bad news and some good news. The bad news is that you tested positive for a serio
Maru [420]

Answer:

0.009804

Step-by-step explanation:

We are given;

probability of testing positive given that you have the disease is 0.99

Also, probability of not testing positive and not having the disease is 0.99

We are also told that it is a rare disease and so strikes only 1 in 1000 people = 0.0001

Let's denote positive test by T+, negative test by T¯, having the disease by D+, not having the disease by D¯.

So, we can now denote all the values in probability we have written earlier.

Thus:

P(T+ | D+) = 0.99

P(T¯ | D¯) = 0.99

P(D+) = 0.0001

Thus, P(D¯) = 1 - P(D+) = 1 - 0.0001 = 0.9999

Now, let's find probability of testing positive;

P(T+) = (P(T+ | D+) × P(D+)) + (P(T+ | D¯) × P(D¯))

Now, (P(T+ | D¯) is not given but by inspection, we can infer from the values given that it is 0.01

Thus;

P(T+) = (0.99 × 0.0001) + (0.01 × 0.9999)

P(T+) = 0.010098

Chances that one has the disease would be gotten from Baye's theorem;

P(D+ | T+) = (P(T+ | D+) × P(D+))/P(T+) = (0.99 × 0.0001)/0.010098 = 0.009804

7 0
3 years ago
The following table gives projections of the
stellarik [79]

The function that models the growth of the population is P = 276.6e^0.009t

<h3>What is the function?</h3>

We can see that the table shows the increase in population over time. We know that population growth is an example of exponential function. We have to apply the formula of exponential function.

Let us now obtain the function that could show the population at each time;

Given that;

Po = initial population

P = population at time t

r = rate of population growth

P = Poe^rt

P = 305.9

r = ?

t = 10

Po = 276.6

Substituting values;

305.9 = 276.6e^10r

305.9/276.6 = e^10r
1.1 = e^10r

ln 1.1 = 10r

r = ln1.1/10

r = 0.009

Thus the function is;

P = 276.6e^0.009t

Learn more about population growth:brainly.com/question/18415071

#SPJ1

8 0
1 year ago
A student earned grades of​ B, B,​ A, C, and D. Those courses had these corresponding numbers of credit​ hours: 4,​ 5, 1,​ 5, 4.
antiseptic1488 [7]

Answer:

<h2> 1.69</h2>

Step-by-step explanation:

Let the five courses with their corresponding credit hours be represented as shown;

FST 201 = 4

FST 203 = 5

FST 112 = 1

FST 219 = 5

FST 223 = 4

If a student earned grades of​ B, B,​ A, C, and D respectively in those courses with the following grading system  A =​4, B =​3, C =​2, D =​1, and F =0, before we can get the student GPA, we need to know the total credit point for the five courses.

Credit point for each course = Number of credit hour * point for each grade

FST 201 = 4 * 4 = 16points (A)

FST 203 = 5 * 4 = 20points (A)

FST 112 = 1 * 4  = 4points (A)

FST 219 = 5 * 4 = 20points (A)

FST 223 = 4 * 4 = 16points (A)

Total credit point = 16+20+4+20+16 = 76points

Total credit point gotten by the student is calculated as thus;

FST 201 = 4 * 3 = 12points (B)

FST 203 = 5 * 3 = 15points (B)

FST 112 = 1 * 4  = 4points (A)

FST 219 = 5 * 2 = 10points (C)

FST 223 = 4 * 1 = 4points (D)

Total credit point gotten by the student = 45points.

student's Grade Point Average​ (GPA) = Total credit point/Total credit point gotten by the student = 76/45 = 1.69 (to 2dp)

5 0
3 years ago
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