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3 years ago

What is the slope of the line on the graph? Enter your answer in the box.

Mathematics

1 answer:

Olenka [21]3 years ago

6 0

Look at points (0, -1) and (1, 5).

m = (y2 - y1)/(x2 - x1) = (5 - (-1))/(1 - 0) = 6/1 = 6

Slope = 6

Answer: 6

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Solve this equation.

baherus [9]

Answer:

y=2

Step-by-step explanation:

(y+7)÷3=3y-3

y+7=9y-9

7+9=9y-y

16=8y

2=y

7 0

3 years ago

Read 2 more answers

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en

mrs_skeptik [129]

Answer:

0.9167 = 91.67% probability that the entire batch will be accepted

Step-by-step explanation:

The CDs are chosen without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

2100 write-rewrite CDs, and 60 are defective.

This means, respectively, that $N = 2100, k = 60$

3 of these CDs are randomly selected for testing

This means that $n = 3$

What is the probability that the entire batch will be accepted?

Probability of none defective, so P(X = 0).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,2100,3,60) = \frac{C_{60,0}*C_{2040,3}}{C_{2100,3}} = 0.9167$

0.9167 = 91.67% probability that the entire batch will be accepted

5 0

3 years ago

Please help me with this question. Algebra 2 is hard!!

trapecia [35]

Answer:

domain: {x ∈ ℝ : x ≤ 5}
range: {y ∈ ℝ : y ≤ -1}

Step-by-step explanation:

Domain

The domain of a function is the set of x values for which the function is defined. Here, the domain is limited by the values of x that make the square root defined. That is, the expression under the radical cannot be negative:

-3x +15 ≥ 0

15 ≥ 3x . . . . . . add 3x

5 ≥ x . . . . . . . . divide by 3

x ≤ 5 . . . . . . . . put x on the left (swap sides)

The rest of the notation in the domain expression simply says x is a real number.

domain: {x ∈ ℝ : x ≤ 5} . . . . . . matches the first choice

Range

The range of a function is the set of values that f(x) can have. We know the square root can be zero or any positive number. When it is zero, f(x) = -1.

When it is a positive number, that value is multiplied by -4 and added to -1, so f(x) is a number more negative than -1. Then the range of the function is all numbers -1 and below:

range: {y ∈ ℝ : y ≤ -1} . . . . . . matches the last choice

_____

Comment on domain/range problems

When working domain and range problems, it works well to have a good understanding of the domain and range limitations of the functions we usually work with: polynomials, square root, logarithm, trig functions, exponential functions. Domain and range problems generally involve combinations of these or ratios of combinations of these.

3 0

3 years ago

Gary drove to the park at a rate of 50 miles per hour if it took him 2.5 hours to get from his house to the park how far away is

Marina86 [1]

Answer:

The distance of the park from the Gary's house is 125 miles.

Step-by-step explanation:

Speed of Gary = 50 miles/hour

Time taken by Gary to reach the park from his house = 2.5 hours

Now, we know that,

Distance travelled = speed × time

So, distance between park and Gary's house = speed × time

= 50 × 2.5

= 125 miles

So, the park is 125 miles away from the Gary's house.

4 0

3 years ago

What is the range of the function for the given domain

AleksAgata [21]

Answer:

thethe answer is the 3rd one

8 0

3 years ago