С 3х +6 2х + 4 D B E О 24 32 Оооо 34

Locate the points of discontinuity in the piecewise function shown below.

algol13

Answer:

Step-by-step explanation:

The given piecewise function i

From the given function it is clear that function is divided at x=-1 and x=2. It means we check the discontinuity at x=-1 and x=2.

For x=-1,

LHL:

Since LHL ≠ f(-1), therefore the given function is discontinuous at x=-1.

For x=2,

LHL:

Since LHL ≠ f(2), therefore the given function is discontinuous at x=2.

Therefore, the correct option is A.

8 0

2 years ago

Can I get help on 6 and 7

Aloiza [94]

The cost depend on the number pencils, so the cost is the y and # of pencils is the x
Same as for question 7
To graph, the length depend on the time, so length is y, time is x
6. Linear
7. Not

6 0

2 years ago

a bathtub mat is in the shape of a semicircle. the straight side of the mat is 24 in. What is the perimeter of the mat in terms

matrenka [14]

24 x 3.14= 75.36
75.36÷2=37.68

5 0

2 years ago

Which models show 40%? Check all that apply. A model with 4 shaded sections and 6 unshaded sections. A model with 40 shaded sect

Amanda [17]

Answer:

A model with 4 shaded sections and 6 unshaded sections.

A model with 40 shaded sections and 60 unshaded sections.

Step-by-step explanation:

Required:

Which models shows 40%

(a) 4 shaded and 6 unshaded

First, we calculate the total sections

$Total = 4 + 6$

$Total = 10$

The percentage of the shaded section is:

$Shaded = \frac{4}{10} * 100\%$

$Shaded = 0.4 * 100\%$

$Shaded = 40\%$

(b) 40 shaded and 60 unshaded

First, we calculate the total sections

$Total = 40 + 60$

$Total = 100$

The percentage of the shaded section is:

$Shaded = \frac{40}{100} * 100\%$

$Shaded = 0.4 * 100\%$

$Shaded = 40\%$

(c) 2 shaded and 8 unshaded

First, we calculate the total sections

$Total = 2 + 8$

$Total = 10$

The percentage of the shaded section is:

$Shaded = \frac{2}{10} * 100\%$

$Shaded = 0.2 * 100\%$

$Shaded = 20\%$

Hence, (a) and (b) shows 40%

8 0

2 years ago

Read 2 more answers

According to the Census Bureau, 3.39 people reside in the typical American household. A sample of 26 households in Arizona retir

Vikki [24]

Answer:

$t=\frac{2.73-3.39}{\frac{1.22}{\sqrt{26}}}=-2.758$

$df=n-1=26-1=25$

$p_v =P(t_{(25)}$

Since the p value is lower than the significance level 0.1 we have enough evidence to reject the null hypothesis, and we can conclude that the true mean is significanlty lower than 3.39 personas at 10% of significance.

Step-by-step explanation:

Data given and notation

$\bar X=2.73$ represent the sample mean

$s=1.22$ represent the sample standard deviation

$n=26$ sample size

$\mu_o =3.39$ represent the value that we want to test

$\alpha=0.1$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is less than 3.39 persons, the system of hypothesis would be:

Null hypothesis: $\mu \geq 3.39$

Alternative hypothesis: $\mu < 3.39$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculate the statistic

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

$t=\frac{2.73-3.39}{\frac{1.22}{\sqrt{26}}}=-2.758$

P-value

The degreed of freedom are given by:

$df=n-1=26-1=25$

Since is a one sided lower test the p value would be:

$p_v =P(t_{(25)}$

Conclusion

Since the p value is lower than the significance level 0.1 we have enough evidence to reject the null hypothesis, and we can conclude that the true mean is significanlty lower than 3.39 personas at 10% of significance.

3 0

2 years ago