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shusha [124]
2 years ago
8

Idenify the numbers that are located below -3.5 on a vertical number line

Mathematics
1 answer:
belka [17]2 years ago
6 0

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The numbers that are located below -3.5 on a vertical number line are (-∞,-3.5).

<h3>What is a number line?</h3>

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

The numbers that are located below -3.5 on a vertical number line are all the numbers that are less than -3.5. The numbers that are located below -3.5 on a vertical number line are (-∞,-3.5).

Learn more about the Number line:

brainly.com/question/557284

#SPJ1

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Shiny White dental insurance costs $258 per year. Approximately one-third of insured people need a filling, which averages $110
sveta [45]

Answer:

  about $145.33

Step-by-step explanation:

Consider a group of 15 customers. They will pay ...

  15 × $258 = $3870

in premiums each year.

One-third of those, 5 customers, will submit claims for fillings, so will cost the insurance company ...

  5 × $110 = $550

And 80% of them, 12 customers, will submit claims for preventive check-ups, so will cost the company ...

  12 × $95 = $1140

The net income from these 15 customers will be ...

  $3870 -550 -1140 = $2180

Then the average income per customer is this value divided by the 15 customers in the group:

  $2180/15 = $145.33

_____

<em>Alternate solution</em>

Above, we chose a number of customers that made 1/3 of them and 4/5 of them be whole numbers. You can also work with one premium and the probability of a claim:

  258 - (1/3)·110 - 0.80·95 = 145.33

8 0
3 years ago
Read 2 more answers
What is the simplified form of the quantity 1 over b minus 1 over a all over the quantity 1 over b plus 1 over a?
jolli1 [7]

Option B: (b-a)/(b+a) is the correct answer

Step-by-step explanation:

The given expression is;

\frac{\frac{1}{b}-\frac{1}{a}}{\frac{1}{b}+\frac{1}{a}}

First of all we have to take LCM in both numerator and denominator

So,

=\frac{\frac{b-a}{ab}}{\frac{b+a}{ab}}

The reciprocal of the denominator will be multiplied with the numerator for simplification

So,

=\frac{b-a}{ab} * \frac{ab}{b+a}\\= \frac{b-a}{b+a}

Hence,

Option B: (b-a)/(b+a) is the correct answer

Keywords: Fractions, expressions

Learn more about fractions at:

  • brainly.com/question/5424148
  • brainly.com/question/5461619

#LearnwithBrainly

4 0
3 years ago
Trigonometry, how would I find the area of this triangle?
oksian1 [2.3K]

Answer:

Step-by-step explanation:

Area of triangle = 1/2 * base * height

Use the side of length 5.6cm as base, the height will be a perpendicular line from the base to the tip of the triangle.

From the right-angle triangle formed by the height and the side of length 3.9cm,

sin(56°45') = height / 3.9

height = 3.9*sin(56°45')

Substituting back into the area equation:

Area = 1/2*5.6*3.9*sin(56°45')

= 9.0cm^2

= 9cm^2

4 0
3 years ago
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One less than one fourth the square of a number.
Free_Kalibri [48]

Answer:

1/4m²-1

let m be the number.

8 0
3 years ago
Identify the graph that correctly represents the inequality |x + 1| + 2 &gt;  5.
NeTakaya
|x+1|\ \textgreater \ 3

The greater than 3 means that the graph will have a shaded region for when the absolute value of (x+1) is greater than 3.

The absolute value means that we are interested in the magnitude of x+1. That means that the the graph will be shaded where x+1 > 3, and where -x-1 > 3

If we solve both of these for x, we get:

x > 2 and x < -4

So the graph will look like the attached picture. Notice that the vertical lines are dotted rather than solid. This means that we are dealing with a greater than sign, not a greater than or equal to.

8 0
3 years ago
Read 2 more answers
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