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Lena [83]
3 years ago
6

What is the equation of this line? Y= 1/2x - 3 Y= -1/2x - 3 Y= -2x - 3 Y= 2x - 3

Mathematics
2 answers:
elena-s [515]3 years ago
4 0
A Is your answer once u define the slope
Lesechka [4]3 years ago
3 0

Answer:

y=1/2x - 3 is the answer

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The product of two consecutive integers is 19 less than their sum.
ss7ja [257]

Answer:

is there any choices?

Step-by-step explanation:

4 0
3 years ago
Simplify the square root of 4x^6
Wittaler [7]

Answer:

2x^3

Solution

You simplify to the lowest value possible 4x^6

2x^3

7 0
3 years ago
A real estate agent has 14 properties that she shows. She feels that there is a 50% chance of selling any one property during a
Ratling [72]

Answer:

91.02% probability of selling more than 4 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The chance of selling any one property is independent of selling another property. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 14, p = 0.5

Compute the probability of selling more than 4 properties in one week.

Either you sell 4 or less properties in one week, or you sell more. The sum of the probabilities of these events is decimal 1. So

P(X \leq 4)  + P(X > 4) = 1

We want to find P(X > 4). So

P(X > 4) = 1 - P(X \leq 4)

In which

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{14,0}.(0.5)^{0}.(0.5)^{14} = 0.000061

P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.000854

P(X = 2) = C_{14,2}.(0.5)^{2}.(0.5)^{12} = 0.0056

P(X = 3) = C_{14,3}.(0.5)^{3}.(0.5)^{11} = 0.0222

P(X = 4) = C_{14,4}.(0.5)^{4}.(0.5)^{10} = 0.0611

So

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.000061 + 0.000854 + 0.0056 + 0.0222 + 0.0611 = 0.0898

Finally

P(X > 4) = 1 - P(X \leq 4) = 1 - 0.0898 = 0.9102

91.02% probability of selling more than 4 properties in one week.

8 0
3 years ago
A dog owner records the weight of her dog. She finds that from the age of 20 weeks to the age of 48 weeks, the dog’s weight can b
SpyIntel [72]

Answer:

See explanation

Step-by-step explanation:

A dog owner records the weight of her dog. She finds that from the age of 20 weeks to the age of 48 weeks, the dog’s weight can be modelled by the equation

w = 0.92t-0.15\ \ \ (20\le t\le 48)

where

w = weight

t = number of week from 20 weeks to 48 weeks

If we want to extend this model to the dog's weight at birth, then find the dog's weigth when it was born.

At t = 0,

w=0.92\cdot 0-0.15\\ \\w=-0.15\ kg

We get the dog's weight -0.15 kilograms at the day the dog was born. But this is impossible, because the dog's weight cannot be negative.

8 0
3 years ago
There are 8 students one the minibus. What fraction of the students are boys
Temka [501]
if there's eight students on the minibus then there's 4 boys and 4 girls on the minibus
7 0
3 years ago
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