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3 years ago

Which function is continous across its domain? Pls help

Mathematics

1 answer:

vichka [17]3 years ago

4 0

Answer:

Step-by-step explanation:

A function f is continuous on its domain D if f is continuous at every point c∈D. Example 1. The function f(x)=ex (with domain R) is continuous on its domain.

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It is believed that the average starting salary for a 21-25 year old college grad exceeds $52,000 per year. Hence, it is desired

gregori [183]

Answer:

The significance level α is 0.02.

Step-by-step explanation:

A hypothesis test for single mean can be performed to determine whether the average starting salary for a 21-25 year old college grad exceeds $52,000 per year.

The hypothesis is defined as follows:

H₀: The average starting salary for a 21-25 year old college grad does not exceeds $52,000 per year, i.e. µ ≤ 52,000.

Hₐ: The average starting salary for a 21-25 year old college grad exceeds $52,000 per year, i.e. µ > 52,000.

The information provided is:

σ = $5,745

n = 65

Also, if $\bar X>\$53,460$ then the null hypothesis will be rejected.

Here, we need to compute the value of significance level α, the type I error probability.

A type I error occurs when we reject a true null hypothesis (H₀).

That is:

α = P (type I error)

α = P (Rejecting H₀| H₀ is true)

$=P(\bar X>53460|\mu \leq 52000)$

$=P[\frac{\bar X-\mu_{0}}{\sigma/\sqrt{n}}>\frac{53460-52000}{5745/\sqrt{65}}]$

$=P(Z>2.05)\\=1-P(Z$

*Use a z-table for the probability.

Thus, the significance level α is 0.02.

5 0

3 years ago

A freight train leaves a station at noon traveling at 30 mph. A passenger train leaves 1 hour later traveling at 50 mph. At what

KIM [24]

Answer:

t=2.5 hours after the freight train leaves the station they will meet.

Step-by-step explanation:

30t = 50 (t - 1)

30t = 50t - 50

30t - 50t = -50

-20t = -50

t= -50/-20

Therefor, t=2.5 hours after the freight train leaves the station they will meet.

3 0

3 years ago

*please help me out if you know how to solve, last person I asked just put a random awnser for point, the problem is bellow and

kicyunya [14]

For both of these, we will divide the wanted outcome by the number of possible outcomes. We will end up with a decimal. A decimal multiplied by 100 becomes a percent.

[a] 50%

$\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{student failed}}{\text{Period 2's class}} =\frac{12}{24} =0.5,\:0.5*100=50\%$

[b] 52%

$\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{student failed from Period 3}}{\text{fails from both classes}} =\frac{13}{25} =0.52,$

$\displaystyle 0.52*100=52\%$

8 0

2 years ago

The ratio table below shows the relationship between the number of bricks in a wall and the length of the wall.

Elza [17]

Answer:

When number of bricks is multiplied by 2, the length is multiplied by

B) 2

Step-by-step explanation:

Number of bricks is two times the length of the wall

i.e. Number of bricks= 2×Length of the wall

When the number of bricks is multiplied by 2, the length is also multiplied by 2

since, when number of bricks=6 then, length of wall=3

and when number of bricks=2×6=12 then, length of wall=2×3=6

Hence, when number of bricks is multiplied by 2, the length is multiplied by

B) 2

6 0

4 years ago

Read 2 more answers

Enter the equation of the circle with the given center and radius. Center: (5,8); radius: 9

irina1246 [14]

Answer:

Step-by-step explanation:

hello :

the equation of the circle is : (x-5)²+(y-8)² =9²

3 0

3 years ago