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3 years ago

Which graph represents a function

Mathematics

1 answer:

Oduvanchick [21]3 years ago

8 0

Answer:

Step-by-step explanation:

Linear as said in it's name is a function that creates (visualy) a straight line.

FROM all the graphs A shows a straight line therefore, the answer.

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Salaries of 49 college graduates who took a statistics course in college have a mean, x overbar, of $ 65 comma 300. Assuming a

Molodets [167]

Answer: $60,540< \mu$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}-z^*\dfrac{\sigma}{\sqrt{n}}< \mu$

, where $\sigma$ = Population standard deviation.

n= sample size

$\overline{x}$ = Sample mean

z* = Critical z-value .

Given : $\sigma=\$17,000$

n= 49

$\overline{x}= \$65,300$

Two-tailed critical value for 95% confidence interval = $z^*=1.960$

Then, the 95% confidence interval would be :-

$65,300-(1.96)\dfrac{17000}{\sqrt{49}}< \mu$

$=65,300-(1.96)\dfrac{17000}{7}< \mu$

$=65,300-4760< \mu$

$=60,540< \mu$

Hence, the 95% confidence interval for estimating the population mean $(\mu)$ :

$60,540< \mu$

7 0

2 years ago

the population of a town increases at a rate proportional to its population with an initial population of 1000. The corect initi

anyanavicka [17]

Answer:

This means that the correct initial value problem for the population p(t) as a function of time is is $P(0) = 1000$

Step-by-step explanation:

The population of a town increases at a rate proportional to its population:

This means that this situation is modeled by the following differential equation:

$\frac{dP}{dt} = kP$

In which k is the growth rate.

By separation of variables, the solution is given by:

$P(t) = P(0)e^{kt}$

In which P(0) is the initial population.

Initial population of 1000.

This means that the correct initial value problem for the population p(t) as a function of time is is $P(0) = 1000$

5 0

2 years ago

find the equation of a line that is parallel to the straight line 2x-y=-3 and crosses the x-axis at x=-5

Alecsey [184]

Answer:

y=2x+10

Step-by-step explanation:

In line equations its helpful to write your line in the form y = ax + b. This helps because a is always the gadient of the line and b is always the y intercept.

In this case it is y=2x+3

All parallel lines have the same gradient. The gradient of this line = 2.

If the line crosses the x axis at x=-5, then when x =-5 y = 0.

If you put all this in the form y =ax + b you get 0 = 2(-5) +b

So all you need to do to find b is rearrange. b = 10.

Therefore your line has gradient 2 and y intercept 10.

y = 2x + 10

7 0

2 years ago

Which side lengths form a right triangle ?

True [87]

Answer:

Step-by-step explanation:

1^2 + 8^2 = c^2

1 + 64 = c^2

65 = c^2

√c^2 = √65

4 0

2 years ago

The equation P = 31 + 1.75w models the relation between the amount of Tuyet's monthly water bill payment, P, in

dimulka [17.4K]

Answer:

The "P" intercept, 31, means that Tuyet's monthly water bill would be $31 if he used no water.

Step-by-step explanation:

5 0

2 years ago