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Nesterboy [21]
3 years ago
10

Writing linear equations

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0

Answer:

The graph in blue: y=4/3x-2

Step-by-step explanation:

Slope-intercept form is y=mx+b, m being the slope and b being the y-intercept.

To find the slope, you just put rise/run of the line.

<em>Hope this helped :)</em>

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A customer service phone line claims that the wait times before a call is answered by a service representative is less than 3.3
Vika [28.1K]

Answer:

(A) Yes, since the test statistic is in the rejection region defined by the critical value, reject the null. The claim is the alternative, so the claim is supported.

Step-by-step explanation:

Null hypothesis: The wait time before a call is answered by a service representative is 3.3 minutes.

Alternate hypothesis: The wait time before a call is answered by a service representative is less than 3.3 minutes.

Test statistic (t) = (sample mean - population mean) ÷ sd/√n

sample mean = 3.24 minutes

population mean = 3.3 minutes

sd = 0.4 minutes

n = 62

degree of freedom = n - 1 = 62 - 1 = 71

significance level = 0.08

t = (3.24 - 3.3) ÷ 0.4/√62 = -0.06 ÷ 005 = -1.2

The test is a one-tailed test. The critical value corresponding to 61 degrees of freedom and 0.08 significance level is 1.654

Conclusion:

Reject the null hypothesis because the test statistic -1.2 is in the rejection region of the critical value 1.654. The claim is contained in the alternative hypothesis, so it is supported.

5 0
3 years ago
A habitat of prairie dogs can support mmm dogs at most.
Sloan [31]

Answer:

The correct answer is p = K × x × (m - p) , where K is the constant of proportionality and x is the current population of the habitat.

Step-by-step explanation:

A habitat of prairie dogs can support m dogs at most.

Let us consider the current population of the habitat be x.

Given the condition that the habitat's population, p,  grows proportionally to the product of the current population (x) and the difference between m and p.

Thus the proportional equation would look like:

p ∝ x × (m - p)

⇒ p = K × x × (m - p) , where K is the constant of proportionality.

Thus the equation describing the above mentioned relationship is given by the above equation.

3 0
3 years ago
Joanne has a pile of nickels and a pile of dimes. She counts her money and discovers that she has 30 nickels and 10 dimes. Let x
USPshnik [31]

$2.50

Step-by-step explanation:

10 dimes are 100 aka 1 dollar, and 30 nickels make 250

4 0
2 years ago
Shiela either walks or cycles to school the probability that she walks is 0.65 if she walks the probability that she is late is
Serjik [45]

Answer:

0.705

Step-by-step explanation:

Data:

walks=0.65 and is late=0.4;is not late=0.6

cycles=0.35 and is late=0.1;is not late=0.9

The probability of sheila walking and not being late:  

0.65 x 0.6=0.39  

AND probability of being not late and cycling:

0.35 x 0.9=0.315

therefore,the probability of sheila walking or cycling and still not being late:

0.39+0.315=0.705

3 0
3 years ago
Gracie is rewriting the expression (24 + 40) as an integer times the sum of two integers. By factoring out a 2, she knows she ca
laila [671]
Hi
step-by-step
yun lang po
#carryonlearning!
6 0
2 years ago
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