Make a ten to add.<br> 3+7+9=

The top of the cylindrical can shown below has a diameter of 7 centimeters (cm).

Sidana [21]

Answer:

Circumference of the can is 21.98 cm.

Step-by-step explanation:

Since, top of the cylinder can shown in the figure is in the shape of a circle

Circumference of a circle is given by the formula,

Circumference 'C' = π × Diameter

Where r = radius of the circle

Therefore, circumference of a circle with diameter 7 centimeters will be,

C = 7π

= 7 × 3.14

= 21.98 cm

Therefore, circumference of the can is 21.98 cm.

5 0

3 years ago

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex

Olenka [21]

Answer:

a

The 90% confidence interval that estimate the true proportion of students who receive financial aid is

$0.533 < p < 0.64$

b

$n = 1789$

Step-by-step explanation:

Considering question a

From the question we are told that

The sample size is n = 200

The number of student that receives financial aid is $k = 118$

Generally the sample proportion is

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{118}{200}$

=> $\^ p = 0.59$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.645 * \sqrt{\frac{0.59 (1- 0.59)}{200} }$

=> $E = 0.057$

Generally 90% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.533 < p < 0.64$

Considering question b

From the question we are told that

The margin of error is E = 0.03

From the question we are told the confidence level is 99% , hence the level of significance is

$\alpha = (100 - 99 ) \%$

=> $\alpha = 0.01$

Generally from the normal distribution table the critical value of is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the sample size is mathematically represented as

$[\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [\frac{2.58}{0.03} ]^2 * 0.59 (1 - 0.59 )$

=> $n = 1789$

8 0

3 years ago

Determine which trig ratio you would use to find the height of the tree.

Viktor [21]

Sin= p/h , cos= b/h , tan= p/b

3 0

3 years ago

You organize a garage sale. You have $30 at the beginning of the sale. You earn an average of $20 per hour. Write an equation th

LekaFEV [45]

30+(20x)=y

30 is the money you had from the start of the garage sale.

20 is what you are getting per hour

y equals the total money you are earning at the end of the garage sale

5 0

3 years ago

What are the qualification of? 0.3%

KIM [24]

Answer:

30

Step-by-step explanation:

4 0

2 years ago

Make a ten to add. 3+7+9=