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4 years ago

A circle has a diameter of 9cm

1 answer:

8 0

For the square to fit inside the circle without touching it, the diagonal of the square needs to be less than the diameter of the circle.

Using the Pythagorean theorem we can calculate the diagonal of the square:

X = SQRT(5^2 + 5^2)

X = SQRT(25 + 25)

X = SQRT(50)

X = 7.07

The diagonal of the square is 7.07 cm, which is less than the diameter of the circle, 9cm, so it will fit .

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A random sample of 700 home owners in a particular city found 112 home owners who had a swimming pool in their backyard. Find a

vekshin1

Answer: $(13.28\%,\ 18.72\%)$

Step-by-step explanation:

Given : A random sample of 700 home owners in a particular city found 112 home owners who had a swimming pool in their backyard.

i.e. n= 700 and x= 112

Sample proportion : $\hat{p}=\dfrac{x}{n}=\dfrac{112}{700}=0.16$

z-value for 95% confidence interval : $z_c=1.960$

Now, the 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard will be :-

$\hat{p}\pm z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$=0.16\pm (1.96)\sqrt{\dfrac{0.16(1-0.16)}{700}}$

$=0.16\pm (1.96)(0.013856)\\\\\approx 0.16\pm0.0272\\\\ =(0.16-0.0272,\ 0.16+0.0272)=(0.1328,\ 0.1872)=(13.28\%,\ 18.72\%)$

Hence, 95% confidence interval for the true percent of home owners in this city who have a swimming pool in their backyard : $(13.28\%,\ 18.72\%)$

6 0

3 years ago

A 3 letter password from the letters a b c and d the password cannot have the same letter repeated in it how many such passwords

iren2701 [21]

Answer:

$24\ passwords$

Step-by-step explanation:

$Total\ available\ characters=4(a,b,c,d)\\\\ We\ want\ to\ choose\ 3\ of\ them.\\Here\ order\ matters\ (for\ example\ abc\ and\ acb\ are\ two\ different\ passwords) \\Hence\ we\ have\ to\ take\ permutation\ to\ count\ total\ possibilities.\\\\Total\ number\ of\ passwords=^4P_3\\\\Total\ number\ of\ passwords=\frac{4!}{(4-3)!}\\\\Total\ number\ of\ passwords=\frac{4!}{1!}\\\\Total\ number\ of\ passwords=24$

3 0

4 years ago

I need help and i’m trying my best

Cerrena [4.2K]

Answer:

Minimum: 2

Quartile 1: 9

Quartile 2: 11

Quartile 3: 20

Maximum: 24

Step-by-step explanation:

(2,4,{9,10,11,14,20},23,24)

8 0

3 years ago

Read 2 more answers

Use the ALEKS calculator to write 15/17 as a decimal rounded to the nearest tenth

mixas84 [53]

Answer:

15/17 is 0.88.

and rounded to the nearest tenth is 0.9

have a good day! c:

3 0

3 years ago

WHATS THE ANSWER?? answer ASAP NO FILE AT ALL

AVprozaik [17]

Ans : C
just flip ur phone after taking the photo

6 0

3 years ago