MATHEMATICS COLLEGE

Can y’all please help me out with these questions

Answers

Answer 1

Answer:

Answer:

Prisms have two base shapes pyramids only have one.

Step-by-step explanation:

A prism has a rectangle side then the other sides are triangles. A pyramid only has triangle sides.

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4. Jeanne has $17.50 in her piggy bank. How much money, m, does she need to buy a game that costs $68.75?5. A number increased by 18 is 50.

6. A number when multiplied by 3 is -21

7. A number divided by -8 is 6

8. Ellen is x years old right now. In thirteen years she will be 24 years old. How old is she now?

9. Each piece of candy costs 0.25 cents. Sam bought a handful of candy and it costs a total of $2.00. How many pieces did he buy?

10. Suzanne made a withdrawal from her savings account. Her old balance was $350.72, and her new balance is $280.20. How much did she withdraw?

11. A large pizza has s, amount of slices that are split among 5 kids. The amount of slices each kid gets is 3. How many slices were there total?

Answers

Answer:

5)32

6)-7

7)-48

8)11

9)800

10)70.52

11)15

Step-by-step explanation:

A full 1500 liter water tank springs leaks and is losing 2 liters per minutes

Answers

150 minutes is how long the tanks been leaking

Answer:

I guess you have to know when it will be empty

2L 1500L

1min (1500*1)/2=750min=12h30min

in 12h30min the tank will be empty

Step-by-step explanation:

Write an explicit equation for the arithmetic sequence
3,7,11,15,19

Answers

Answer:

Arithmetic Sequence:

d=4

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 4 o the previous term in the sequence gives the next term. In other words, aₙ=a₁+d(n-1)

C^2 + 5c =3 Tell if this factors or not? And show how it factors or does not factor? And if it factors what are the roots?

Answers

The answer to your questions is that it depends on how we view the polynomial. In particular,

$c^2+5c=3\implies c^2+5c-3=0$

If the left hand side were factorizable, then we would be able to write it in the form

$(c-r_1)(c-r_2)=c^2+5c-3=0$

If we expand the leftmost expression, we'd get

$c^2-(r_1+r_2)c+r_1r_2=c^2+5c-3=0$

and so for the two polynomials to be the same, the coefficients must match. In other words, the unknowns $r_1,r_2$ would have to satisfy

$\begin{cases}-(r_1+r_2)=5\nr_1r_2=-3\end{cases}$

Suppose that, moreover, we want integer solutions for $r_1,r_2$ . For this to happen, they must be factor pairs of the constant term.

-3 only has two factor pairs. Either $r_1=-1$ and $r_2=3$ , or $r_1=1$ and $r_2=-3$ . In the first case, we'd get a linear coefficient of $-(-1+3)=-2\neq5$ , while in the second, we'd get $-(1-3)=2\neq5$ .

There is no integer solution for this system, so the original quadratic is not factorizable - but only so over the integers.

If we change the scope of the coefficients, i.e. allow for any real numbers/complex numbers to appear in the factorization, then we always factorize a quadratic. The above system is easy to solve.

$r_1r_2=-3\implies r_2=-\frac3{r_1}$
$\implies-\left(r_1-\frac3{r_1}\right)=5$
$\implies{r_1}^2+5r_1-3=0$
$\implies r_1=\frac{-5\pm√(37)}2$

$\implies c^2+5c-3=\left(c+\frac{5-√(37)}2\right)\left(c+\frac{5+√(37)}2\right)$

so the original quadratic is factorizable over the reals.

Explain why you cannot calculate the probability that a randomly selected passenger weighs more than 200 pounds?

Answers

Answer:

We cannot calculate the probability that a randomly selected passenger weighs more than 200 pounds

Step-by-step explanation:

We cannot calculate the probability that a randomly selected passenger weighs more than 200 pounds because we do not know the number of possible outcomes, the events , sample space or the sample size. Probability is calculated with frequency or occurrences or how much certainty there is.It is a number between 0 and 1. 1 indicates certainty and 0 indicates impossibility. Without a range or frequency how can we depict the possibility or impossibility of an occurrence of 200 pounds.

Final answer:

You cannot calculate the probability that a randomly selected passenger weighs more than 200 pounds without sufficient data on the weight distribution of the population. Weight can widely vary due to individual factors, making it hard to have a definitive measurement. Accurate data and appropriate statistical methods are necessary.

Explanation:

The process of calculating the probability that a randomly selected passenger weighs more than 200 pounds would be seemingly simple deductive reasoning. However, it's impossible without access to sufficient data that provides information about the population's weight distribution. Since people's weights are variable and oftentimes private information, it would not be straightforward to obtain accurate and representative data.

For instance, while we can calculate the probability of drawing a certain card from a deck because we know the total number of cards and the number of each type of card, determining the likelihood of a randomly chosen passenger weighs over 200 pounds requires knowledge of the weight distribution of all potential passengers.

Moreover, weight can vary significantly among individuals due to factors like age, gender, health status, and so on. This makes it a continuous variable, meaning it's also affected by dimensions like decimal form and scientific notation when measuring. We'd need accurate data and appropriate statistical methodologies to consider all possible weight ranges and their frequencies for a reliable calculation of such probability.