2 years ago

How do I decide whether a relation is a function or not ?

1 answer:

4 0

<span>You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!</span>

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A population of bacteria is growing according to the exponential model P = 100e.70t, where P is the number of colonies and t is

Reika [66]

T=(log(300÷100)÷log(e))÷0.7
T=1.6

6 0

3 years ago

Read 2 more answers

The quartiles of any distribution are the values with cumulative proportions 0.25 and 0.75. What are the quartiles of the standa

choli [55]

$\mathbb P(X\le Q_1)=F_X(Q_1)=0.25\implies Q_1={F_X}^{-1}(0.25)\approx-0.6745$

where $F_X(x)$ is the CDF for $X\sim\mathcal N(0,1)$ .

By symmetry of the distribution, you then have

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3 years ago

The scores of 1000 students on a standardized test are normally distributed with a mean of 50 and a standard deviation of 5. wha

ra1l [238]

We are looking to find P(X>60 students)

X is normally distributed with mean 50 and standard deviation 5

We need to find the z-score of 60 students
$Z= \frac{60-50}{5}=2$

To find the probability of P(Z>2), we can do 1 - P(Z<2)
So we read the probability when Z<2 which is 0.9772, then subtract from one we get 0.0228

The number of students that has score more than 60 is 0.0228 x 1000 = 228 students

3 0

3 years ago

I’d really appreciate if you’d also give a brief explanation:)

ArbitrLikvidat [17]

Answer:

Only area of PQR can be calculated.

Step-by-step explanation:

In PQR, we have both the base (24 cm) and the height (15cm) which is perpendicular to the base. Therefore using these two measurements, we can take

$\frac{1}{2} \times 24 \times 15$

This is equal to 180 cm².

3 0

2 years ago

F(x) = x2. What is g(x)?

uranmaximum [27]

Answer:

g(x) = 1/2x^2

Step-by-step explanation:

I hope this helps

8 0

2 years ago