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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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? A survey of factories in five northeastern states found that 10% of the 300 workers surveyed were satisfied with the benefits
Anastasy [175]
Percent means per one-hundred

300(10/100)=30

So 30 of the 300 workers were satisfied with their benefits.
5 0
2 years ago
The results of a mathematics placement exam at two different campuses of Mercy College follow: Campus Sample Size Sample Mean Po
Leona [35]

Answer:

z=\frac{(33-31)-0}{\sqrt{\frac{8^2}{330}+\frac{7^2}{310}}}}=3.37  

p_v =P(Z>3.37)=1-P(Z  

Comparing the p value with a significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the mean for the Campus 1 is significantly higher than the mean for the group 2.  

Step-by-step explanation:

Data given

Campus   Sample size     Mean    Population deviation

   1                 330               33                      8

   2                310                31                       7

\bar X_{1}=33 represent the mean for sample 1  

\bar X_{2}=31 represent the mean for sample 2  

\sigma_{1}=8 represent the population standard deviation for 1  

\sigma_{2}=7 represent the population standard deviation for 2  

n_{1}=330 sample size for the group 1  

n_{2}=310 sample size for the group 2  

\alpha Significance level provided  

z would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the mean for Campus 1 is higher than the mean for Campus 2, the system of hypothesis would be:

Null hypothesis:\mu_{1}-\mu_{2}\leq 0  

Alternative hypothesis:\mu_{1} - \mu_{2}> 0  

We have the population standard deviation's, and the sample sizes are large enough we can apply a z test to compare means, and the statistic is given by:  

z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

With the info given we can replace in formula (1) like this:  

z=\frac{(33-31)-0}{\sqrt{\frac{8^2}{330}+\frac{7^2}{310}}}}=3.37  

P value  

Since is a one right tailed test the p value would be:  

p_v =P(Z>3.37)=1-P(Z  

Comparing the p value with a significance level for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the mean for the Campus 1 is significantly higher than the mean for the group 2.  

5 0
2 years ago
The formula for the circumference of a circle is C = 2r, where r is the radius and C is the circumference. The equation solved f
larisa [96]

Answer:

r=8

Step-by-step explanation:

Because 16 divided by 2 is 8

6 0
2 years ago
Read 2 more answers
While driving home for the holidays, you can’t seem to get Little’s Law out of your mind. You note that your average speed of tr
suter [353]

Answer:

1,200 cars per hour

Step-by-step explanation:

Let's suppose the car flow is constant and based on the observations stated in the problem.

If we set and imaginary car counter where your car is, then there are 25 cars in ¼ of a mile (including yours) going at your same speed.

Now compute how long it will take to travel ¼ mile. As your speed is constant 60 mph, we can cross multiply  

60 miles -----------> 1 hour

¼ of a mile --------> x hours

and

60/ (¼) = 1/x ---------> x = 1/240 hours.

This means that in 1/240 hours the 25 cars will be passing the counter.

Now compute how many cars will pass through our counter in 1 hour. Again, cross multiplying

1/240 hours -------> 25 cars

1 hour --------------> x cars

and

1/240 = 25/x -------> x = 25*240 = 1,200 cars.

So, the flow rate of the highway (going in your direction) in cars per hour is 1,200 cars per hour.

7 0
2 years ago
Train A traveled 173 miles in five hours. For Train B, y = 31.35x represents its rate of speed over the same five hours. Which t
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<span> D) Train A by a factor of 1.1
</span>Train A: <span>17/35</span><span> = 34.6</span>

<span>Train B: </span>Rate<span> is the </span>slope<span> of the </span>equation, 31.35

Thus,<span>34.6/31.35</span><span> = 1.1036</span>
4 0
2 years ago
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