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1 year ago

How many quarter-acre lots can be made from 6 1/2 acres of land?

Mathematics

2 answers:

Amiraneli [1.4K]1 year ago

6 0

So I think the answer is 26

Reptile [31]1 year ago

3 0

26! A quarter is 1/4 and so you time the 4 (one whole) times 6 which leaves you with 24 and there’s still have an acre which is two quarter acres and so you add to to 24 and get tour final answer of 26 :)

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A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection

Roman55 [17]

Answer: -1.78

Step-by-step explanation:

As per given description, we have

Population proportion : $p=0.35$

Sample size : n= 500

Sample proportion : $\hat{p}=\dfrac{156}{500}=0.312$

Test statistic for population proportion :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\=\dfrac{0.312-0.35}{\sqrt{\dfrac{0.35(1-0.35)}{500}}}\\\\=-1.78146747757\ \ \text{(Simplified)}\\\\\approx-1.78$

Hence, the test statistic for this hypothesis test for a proportion= -1.78

3 0

2 years ago

A large department store is curious about what sections of the store make the most sales. The manager has data from ten years pr

Snowcat [4.5K]

Answer:

Hypotheses:

H0: There is no difference in the distribution of current sales.

H1: There is a difference in the distribution of current sales.

Enter the test statistic - round to 4 decimal places. 23.0951

Enter the p-value - round to 4 decimal places. 0.0003

Can it be concluded that there is a statistically significant difference in the distribution of sales?

Yes

please mark me brainliest!

7 0

2 years ago

A group of college DJs surveyed students to find out what music to plan for their upcoming parties. Thirty percent of the studen

Aneli [31]

Answer:

Thus, option “c” 10% is correct.

Step-by-step explanation:

The percentage of students that like dubstep = 30%

The percentage of students that like trance music = 25%

The percentage of student that wants only house music = 20%

The percentage of students that like bot dubstep and trance = 15%

Now we have to find the percentage of students that like trance music but nor dubstep.

The percentage of students that like the trance music but nor dubstep = 100% - 30% – 25 % - 20% - 15%

The percentage of students that like trance music but nor dubstep = 10%

Thus, option “c” 10% is correct.

6 0

2 years ago

A point x is 34m due to east of a point Y . The bearing of a flagpole from x and Y are N18°W And N40°E respectively .

Murljashka [212]

Answer:

The distance of flag post from Y is 38.13 m

Step-by-step explanation:

Consider point Y at the intersection of both lines as shown below. Now the point X lies 34 meter from point Y in east direction.

Now flag pole at point X lies at a bearing of N18°W. That is at point X from north, flag post makes an angle of 18° towards west.

Similarly flag pole at point Y lies at a bearing of N40°E. That is at point Y from north, flag post makes an angle of 40° towards east.

Consider ∆ AXY as right angle triangle. Therefore measure of angle FXY is,

$\angle AXY=\angle AXF+\angle FXY$

$\therefore 90 \degree=18\degree+\angle FXY$

$\angle FXY=72\degree$

Consider ∆ BYX as right angle triangle. Therefore measure of angle FYX is,

$\angle BYX=\angle BYF+\angle FYX$

$\therefore 90 \degree=40\degree+\angle FYX$

$\angle FYX=50\degree$

Refer attachment 1.

From diagram consider the triangle FYX. To find the third angle that is ∠YFX can be calculated by using angle sum property of triangle.

∠YFX+∠FYX+∠FXY=180°

∠YFX+50°+72°=180°

∠YFX=58°

Refer attachment 2.

Now the distance FY can be calculated using sin rule as follows,

$\frac{\sin X}{FY}=\frac{\sin F}{YX}=\frac{\sin Y}{FX}$

Substituting the values,

$\frac{\sin 72}{FY}=\frac{\sin 58}{34}=\frac{\sin 50}{FX}$

Simplifying first two terms,

$\frac{\sin 72}{FY}=\frac{\sin 58}{34}$

Cross multiplying,

$34\times\sin 72=FY\times \sin 58$

$\dfrac{34\times\sin 72}{\sin 58}=FY$

$FY=38.13$ m

7 0

2 years ago

In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram? AB ≅

siniylev [52]

For any quadrilateral to be a parallelogram

i) either both the pairs of opposite sides must be equal

ii) Both the pairs of opposite sides must be parallel

iii) Opposite pairs of angles must be equal

iv) Diagonals must bisect each other.

v) A pair of opposite sides must be parallel and equal

Here we are already given that AB || CD

So either we should be given that AD || BC

or we must be given that AB = CD

Here it is given AB = CD as an option.

So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.

7 0

2 years ago

Read 2 more answers