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3 years ago

Which expression represents the distance between −14.6 and −5.2 on the number line?

Mathematics

2 answers:

nignag [31]3 years ago

7 0

The correct answer is D.) |−14.6 − (−5.2)|

This is the case because we are first subtracting the value of the two numbers from each other. Then we're taking the absolute value so we can find distance, which is always expressed in a positive number.

mel-nik [20]3 years ago

7 0

<h2>Answer:</h2>

The correct expression which represents the distance between these two points on the number line is:

4. |−14.6 − (−5.2)|

<h2>Step-by-step explanation:</h2>

We know that if a and b are two numbers on the number line then the distance between the two numbers a and b is given by the formula:

|a-b|

Here we have to numbers as:

a= -14.6

and

b= -5.2

Hence, the distance between these two points is given by:

|-14.6-(-5.2)|=|-14.6+5.2|=|-9|=9

Hence, the correct answer is: Option: 4

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sum_(n=0)^infinity (x+8)**n/(3**n) (a) Find the values of x for which the series converges. (Enter the smaller number first.) (

Fed [463]

Idk but probably the sum is 6367337282&363632$3!.??.):

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3 years ago

What is the equation of the line of the best fit for the following data? Round to the slope and y-intercept of the line to three

BigorU [14]

Answer:

D. $y=-0.927x+13.634$

Step-by-step explanation:

We graph the points on the graph. The graph is attached.

Let us take two points (1, 14) and (15, 1), and calculate the slope $m$ between them <em>(we choose these points because the line passing through them will be the best fit for all points) </em>

$m=\frac{14-1}{1-15} =\frac{13}{-14} =-0.9286$

Thus we have the equation

$y=-0.9286x+b$

Let us now calculate $b$ from the point $(1,14)$

$14=-0.9286(1)+b$

$b=14.9286$

So the equation we get is

$y=-0.9286x+14.9286$

Let us now turn to the choices given and see which choice is closest to our equation: we see that choice D. $y=-0.927x+13.634$ is the closest one, so we pick it.

4 0

3 years ago

A math class has three girls and 7 boys in the 7th grade and five girls and five boys in the 8th grade the teacher randomly sele

Anuta_ua [19.1K]

Answer:

7/20

Step-by-step explanation:

Seventh grade: Total = 3 + 7 = 10

Number of boys = 7 boys

Probability of a boy being picked = 7/10

Eighth grade: Total 5 + 5 = 10

Number of boys = 5

Probability 5/10 = 1/2

The probability of the correct outcome = 7/10 * 1/2 = 7 / 20

Answer: 7 / 20

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3 years ago

Identify the slope and y-intercept of the graph of the equation.

Aleksandr [31]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

A multiple-choice standard test contains total of 25 questions, each with four answers. Assume that a student just guesses on ea

weqwewe [10]

Answer:

a) 8*88*10⁻⁶ ( 0.00088 %)

b) 0.2137 (21.37%)

Step-by-step explanation:

if the test contains 25 questions and each questions is independent of the others, then the random variable X= answer "x" questions correctly , has a binomial probability distribution. Then

P(X=x)= n!/((n-x)!*x!)*p^x*(1-p)^(n-x)

where

n= total number of questions= 25

p= probability of getting a question right = 1/4

then

a) P(x=n) = p^n = (1/4)²⁵ = 8*88*10⁻⁶ ( 0.00088 %)

b) P(x<5)= F(5)

where F(x) is the cumulative binomial probability distribution- Then from tables

P(x<5)= F(5)= 0.2137 (21.37%)

7 0

3 years ago

​Which expression represents the distance between −14.6 and −5.2 on the number line?

Which expression represents the distance between −14.6 and −5.2 on the number line?