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Olin [163]
2 years ago
13

Anna is no more than 3 years older than 2 times Jamie’s age. Jamie is at least 14 and Anna is at most 35. Which system of linear

inequalities can be used to find the possible ages of Anna, a, and Jamie, j?
a ≥ 3 + 2j; j ≥ 14, a ≤ 35
a ≤ 3 + 2j; j ≥ 14, a ≤ 35
a ≥ 3 + 2j; j ≤ 14, a ≤ 35
a ≤ 3 + 2j; j ≤ 14, a ≤ 35
Mathematics
2 answers:
joja [24]2 years ago
8 0

Answer: The answer is (b) a ≤ 3 + 2j; j ≥ 14, a ≤ 35.

Step-by-step explanation:  Given that Anna is no more than 3 years older than 2 times Jamie’s age. Jamie is at least 14 and Anna is at most 35. We are to select the correct combination of inequalities among the given options.

Also, 'a' and 'j' are the possible ages of Anna and Jamie respectively. Therefore, according to the given information, we can write

a\leq 2j+3,\\j\geq 14,\\a\leq 35.

Thus, the correct option is (b) a ≤ 3 + 2j; j ≥ 14, a ≤ 35.

Butoxors [25]2 years ago
6 0

Answer:

b is correct on e d g e n u i t y

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ololo11 [35]

Answer:

There is a 22.42% probability that a sample in this size has 2 imperfections.

Step-by-step explanation:

For each chip, there are only two possible outcomes. Either they are imperfect, or they are not.

This means that we can solve this problem using binomial distribution probability concepts.

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

In this problem

A success is a chip being imperfect. Suppose the average number of imperfections per 1000 sim chips is 3. So \pi = \frac{3}{1000} = 0.003.

What is the probability that a sample this size​ (1000 chips) has 2​ imperfections?

The sample has 1000 chips, wo n = 1000

We want P(X = 2).

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

P(X = 2) = C_{1000,2}.(0.003)^{2}.(0.997)^{998} = 0.2242

There is a 22.42% probability that a sample in this size has 2 imperfections.

7 0
2 years ago
A scatterplot consists of (1, 4.0), (2, 3.3), (3, 3.8), (4, 2.6), and (5, 2.7). The line of best fit used to model the data is y
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Answer:

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Step-by-step explanation:

8 0
2 years ago
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PLEASE HELP!
Nadya [2.5K]

Draw the DE ray away from the BAC angle is the next step to copy the BAC angle

<h3>Further explanation </h3>

Angles can be formed from two ray lines that have the same starting point

Commonly used terms include foot angle, corner point, and angle size

The magnitude of the angle is usually expressed in degrees

Naming angles can be with one letter according to the vertex or with three letters with the vertex placed between two other letters

There are several steps used to copy the BAC angle:

  • 1. Draw the DE line
  • 2. Draw a circle using the circle tool with center A. The circle will intersect the lines BA and BC at points F and G
  • 3. Use the segment tool to create a segment from the circle radius that has been created
  • 4. Use the Compass tool and select the segment from the AG radius
  • 5. Make a circle with center point D, with the same radius as AG
  • 6. Mark the intersection of the circle with the intersection of the DE as H
  • 7. Create the FG segment, and use the compass tool to select the FG segment
  • 8. Create a circle with center H, which will intersect the circle with center D earlier at the point I
  • 9. Draw the DI line

Then the BAC  is congruent to the HDI  

<h3>Learn more</h3>

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brainly.com/question/8929610

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the steps for constructing a copy of an angle  

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Keywords: circle, copy of an angle, segment tool, compass tool, radius

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A sailor is looking at a kite. If he is looking at the kite at an angle of elevation of 36and the distance from the boat to the
Nonamiya [84]

Answer:

Height of the kite from the ground is 29.2 feet.

Step-by-step explanation:

For better explanation of the solution, see the figure attached :

The angle formed by the height of kite to that of the surface of the ground is right angle.

⇒ m∠ABC = 90°

Let angle of elevation be θ

Now, to find height of the kite : find length of AB

In right angled triangle ABC , using tan rule, we have\tan\theta=\frac{Perpendicular}{Base}\\\\\tan36^{\circ}=\frac{AB}{BC}\\\\\implies \tan36^{\circ}=\frac{AB}{40}\\\\\implies AB=0.73\times 40\\\\\bf\implies AB=29.2\thinspace{ feet}

Hence, Height of the kite from the ground is 29.2 feet.

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Answer:

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Step-by-step explanation:

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