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Basile [38]
2 years ago
15

Which product is modeled by the number line below? A number line going from negative 8 to positive 8. An arrow goes from 0 to ne

gative 2, from negative 2 to negative 4, from negative 4 to negative 6, and from negative 6 to negative 8.

Mathematics
1 answer:
Mariana [72]2 years ago
6 0

Answer: (-2)(4)

Step-by-step explanation:

The model could be explained as follows ;

Step 1 : 0 - - - - > - 2 = - 2 units

Step 2 : -2 - - - - > -4 = - 2 units

Step 3: - 4 - - - - > -6 = - 2 units

Step 4: - 6 - - - - > -8 = - 2 units

-2 units for reach of the 4 steps

Therefore, model is expressed as :

(-2) × 4

(-2)(4)

Kindly view detailed sketch and explanation in the picture attached.

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It costs $2.75 to enter an arcade. Each game costs $1.25. You have $14. How many games can you play?​
Greeley [361]

Answer:

9 times

Step-by-step explanation:

first you do 14 - 2.75 which equals 11.25. you divide that number by 1.25 which equals 9 in total, getting you your answer

7 0
1 year ago
Read 2 more answers
A dartboard has 10 equally sized slices numbered from 1 to 10. Some are grey and some are white. The slices numbered 1,2 ,3 ,5 ,
hram777 [196]

Answer:

P(X) is 7/10

P(not X) is 3/10

Step-by-step explanation:

The total is 10 so thats ur denominator

The probability of landing on a grey area is 7/10

The probability of not landing on a grey area is 3/10

Hope this helps

5 0
2 years ago
A group of entomologists has determined that the population of ladybugs at a local park can be modeled by the equation y = − 1.4
Oksanka [162]
<h3>Answer:</h3>

A) 177.568 thousand.

B) 125.836 thousand.

<h3>Step-by-step explanation:</h3>

In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.

Equation we're going to use:

y = -1.437 x + 197.686

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.

Lets solve the question.

Question A:

We need to find the ladybug population is 2024.

2024 is 14 years after 2010, so our "x" variable will be replaced with 14.

Your equation should look like this:

y = -1.437 (14) + 197.686

Now, we solve.

y = -1.437 (14) + 197.686\\\\\text{Multiply -1.437 and 14}\\\\y=-20.118+197.686\\\\\text{Add}\\\\y=177.568

You should get 177.568

This means that the population of ladybugs in 2024 is 177.568 thousand.

Question B:

We need to find the ladybug population is 2060.

2060 is 50 years after 2010, so the "x" variable would be replaced with 50.

Your equation should look like this:

y = -1.437 (50) + 197.686

Now, we solve.

y = -1.437 (50) + 197.686\\\\\text{Multiply -1.437 and 50}\\\\y=-71.85+197.686\\\\\text{Add}\\\\y=125.836

This means that the population of ladybugs in 2060 would be 125.836 thousand.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
7 0
2 years ago
The hypotenuse of a 45 -45° -90° triangle measures 18 cm. What is the length of one leg of the triangle?
sdas [7]
<h2>Steps</h2>

So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:

x\sqrt{2} =18

From here we can solve for x. Firstly, divide both sides by √2.

x=\frac{18}{\sqrt{2}}

Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:

\frac{18}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{18\sqrt{2}}{2}\\\\\\x=\frac{18\sqrt{2}}{2}

Next, divide:

x=9\sqrt{2}

<h2>Answer</h2>

<u>In short, the length of one leg of the triangle is 9√2 cm.</u>

5 0
1 year ago
Read 2 more answers
Legalization of marijuana, Part I. The 2010 General Social Survey asked 1,578 US res- idents: \Do you think the use of marijuana
mixer [17]

Answer:

Step-by-step explanation:

a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.

b) For 95% confidence level, z* = 1.96.

\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).

We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.

c)

\\np=1578(0.61)=962.58

\\n(1-p)=1578(1-0.61)=615.42

Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.

d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.

4 0
2 years ago
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