10.5 equal or less than 10.005

A dietitian wants to know the average time spent on breakfast in a primary school. The dietitian randomly samples 25 students an

blsea [12.9K]

Answer:

The right options are:

a. The margin of error is 0.632

f. There is a 95% chance that the true mean is between 11.968 and 13.232 minutes.

Step-by-step explanation:

The question is incomplete:

Select one or more:

a. The margin of error is 0.632

b. The margin of error is 1264.

C. The margin of error is 0.600.

d. We believe that the true mean time spent on breakfast is between 11.968 and 13.232 minutes.

e. If we take many other samples from this population, 95% of them will have a sample mean that is between 11968 and 13232.

f. There is a 95% chance that the true mean is between 11.968 and 13.232 minutes.

The margin of error can be calculated from the bounds of the confidence interval as:

$E=\dfrac{UL-LL}{2}=\dfrac{13.232-11.968}{2}=\dfrac{1.264}{2}=0.632$

As the confidence interval is calculated at 95% confidence, we are 95% confident that the true mean is within the calculated interval. We are not 100% confident although (that's why Option d is false).

This interval does not give us information about the sampling distribution (option e is false).

8 0

3 years ago

How do you write 1+0.9+0.08+0.001 in standard form

lions [1.4K]

Just addum up.

You should get the sum of 1.981 .
That's in standard form.

6 0

4 years ago

Read 2 more answers

Try It Yourself Find 0.2% of 126, rounding your answer to 3 significant figures if needed

sweet [91]

Answer:

0.252

Step-by-step explanation:

0.2 ×126

100

0.252

4 0

3 years ago

Writing Equations of Parallel Lines

Nookie1986 [14]

Answer:

The slope of the parallel line to the given line is $-\frac{1}{4}$

The equation of the parallel line to the given line and passes through the given point is y + 4 = $-\frac{1}{4}$ (x + 2)

The y-intercept of the parallel line to the given line and passes through the given point is $-\frac{9}{2}$

Step-by-step explanation:

The rule of the slope of the line that passes through points (x1, y1) and (x2, y2) is m = $\frac{y2-y1}{x2-x1}$

The point-slope form of the linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line

The slope-intercept form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

Parallel lines have the same slopes and different y-intercepts

In the given figure

∵ The given line passes through points (2, 6) and (-6, 8)

∴ x1 = 2 and y1 = 6

∴ x2 = -6 and y2 = 8

→ Substitute them in the rule of the slope above to find it

∵ m = $\frac{8-6}{-6-2}$ = $\frac{2}{-8}$ = $-\frac{1}{4}$

∴ The slope of the given line is $-\frac{1}{4}$

∵ Parallel lines have the same slopes

∴ The slope of the parallel line to the given line is $-\frac{1}{4}$

∵ The parallel line passes through the point (-2, -4)

∴ x1 = -2 and y1 = -4

∵ m = $-\frac{1}{4}$

→ Substitute them in the point-slope form above

∵ y - (-4) = $-\frac{1}{4}$ (x - (-2))

∴ y + 4 = $-\frac{1}{4}$ (x + 2)

∴ The equation of the parallel line to the given line and passes through

the given point is y + 4 = $-\frac{1}{4}$ (x + 2)

∵ m = $-\frac{1}{4}$

→ Substitute it in the slope-intercept form above

∴ y = $-\frac{1}{4}$ x + b

→ To find b substitute x by -2 and y by -4 (coordinates the given point)

∵ -4 = $-\frac{1}{4}$ (-2) + b

∴ -4 = $\frac{1}{2}$ + b

→ Subtract $\frac{1}{2}$ from both sides

∴ $-\frac{9}{2}$ = b

∵ b is the y-intercept

∴ The y-intercept of the parallel line to the given line and passes

through the given point is $-\frac{9}{2}$

8 0

3 years ago

A first year student deposits $250 into a savings account at the Owl Credit Union at Dundalk High School paying an annual intere

Brums [2.3K]

250 + 4 (4x250) = 500

3 0

3 years ago