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Pavel [41]
3 years ago
10

Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and

(–12, –9). He writes the equation. 7x – 10y = 3. Is this a good model? Explain your reasoning.
Mathematics
2 answers:
melamori03 [73]3 years ago
6 0
Use slope formula to find slope <span><span><span>−9−5</span><span>−/12−8</span></span>=<span><span>−14/</span><span>−20</span></span>=<span>7/10</span></span> 7/10 = m = slope  
y= mx + b
y= (7/10)x + b
(8,5)
(5) = (7/10)(8) + b
b = -3/5

So.... <span>y=(<span>7/10)</span>x −<span>35

</span></span> multiply by 10

<span>10y=7x−6</span><span> --> -7x + 10y = -6
 --> 7x - 10y = 6
 So, if 7x - 10y = 3 a good model?</span>
miskamm [114]3 years ago
6 0

Answer:

If the model is good, then both points will check in the equation. Substituting 8 for x and 5 for y in the equation results in 56 – 50 = 3, which is not true. Therefore, the model is not good. Using (–12, –9) as a check results in –84 + 90 = 3. The constant value in the equation should be 6, not 3. In slope-intercept form, the y-intercept should be –3/5. Hope this helps!!! :)

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I know (B) is correct, the median is the best measure of center if t distribution is Skewed Left

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2 years ago
A farmer has a water tank for cows in the shape of a cylinder with a radius of 7 ft and a height of 3 ft. The tank comes equippe
natima [27]

Answer:

volume of the tank be when the sensor turns on = 92.316 ft³

Step-by-step explanation:

Volume of a cylinder = πr²h

Pi = π = 3.14

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Height = h = 3 ft

Volume of a cylinder = πr²h

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= 461.58 ft³

The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity.

volume of the tank be when the sensor turns on = 20% of Volume of a cylinder

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= 92.316 ft³

volume of the tank be when the sensor turns on = 92.316 ft³

5 0
3 years ago
Question<br> Use the distributive property to multiply the polynomials.<br> -5x2(6x - 1)
nignag [31]

Answer:

-60x + 10

Step-by-step explanation:

-5 x 2(6x - 1)

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7 0
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Read 2 more answers
A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average i
strojnjashka [21]

The valid conclusions for the manager based on the considered test is given by: Option

<h3>When do we perform one sample z-test?</h3>

One sample z-test is performed if the sample size is large enough (n  > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

  • Population mean = \mu = $150
  • Population standard deviation = \sigma = $30.20
  • Sample mean = \overline{x} = $160
  • Sample size = n = 40 > 30
  • Level of significance = \alpha = 2.5% = 0.025
  • We want to determine if the average customer spends more in his store than the national average.

Forming hypotheses:

  • Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: H_0: \mu_0 \leq \mu = 150
  • Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically H_1: \mu_0 > \mu = 150

where \mu_0 is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

Learn more about one-sample z-test here:

brainly.com/question/21477856

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