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slavikrds [6]
2 years ago
5

A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is

Mathematics
2 answers:
olga nikolaevna [1]2 years ago
5 0
Easy the answer is... about 5
postnew [5]2 years ago
5 0

Answer: 5.64 units

Step-by-step explanation:

The volume of a cylinder is given by :-

\text{Volume}=\pi r^2 h, where r is radius and h is height of the cylinder.

Given : Volume of cylinder = 175 cubic units

Height = 7 units.

Substitute these values in the above formula , we have

175=(3.14) r^2 (7)\\\\\Rightarrow\ r^2=\dfrac{175}{(3.14)(7)}\\\\\Rightarrow\ r^=7.96178343949\\\\\Rightarrow\ r\approx2.82

Now, the diameter of the cylinder will be given by :-

d=2(2.82)=5.64\text{ units}

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A phycologist is interested in determining the proportion of algae samples from a local rivulet that belong to a particular phyl
LuckyWell [14K]

Answer:

A sample of 16577 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

n = 16576.6

Rounding up:

A sample of 16577 is required.

8 0
2 years ago
Help solve this plsss fast!!!
exis [7]

Answer:

2x + x + 5 = 6x - 3x + 5

3x + 5 = 3x + 5

Here Both the side of equation are same ..

So, it have infinite solution....

8 0
2 years ago
Thank you in advance for those who provided support to my question!
alekssr [168]

GCF of 10 and 12 is 2

LCM of 16 and 24 is 48

Added together is 50

5 0
3 years ago
Read 2 more answers
A new pencil is 19 centimeters long. Levi uses it for a month. The pencil now measures 8 centimeters.
pogonyaev

Answer:

11 cm

Step-by-step explanation:

Given:

Length of new pencil = 19 cm

Length of pencil after using a month = 8 cm

Question asked:

The pencil is centimeters shorter now than when it was new = ?

Solution:

Length of new pencil = 19 cm

Length of pencil after using a month =  8 cm

The pencil is centimeters shorter now than when it was new = 19 cm -  8 cm

                                                                                                     = 11 cm

Length of pencil has been used during a month = 11 cm

8 0
3 years ago
Sandra throws an object straight up into the air with an initial velocity of 38 ft/s from a platform that is 30 ft above the gro
Makovka662 [10]

Answer:

The answer is C.

Step-by-step explanation:

Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.

In this case, the initial postion is a platform 30ft above ground so h0=+30

The initial velocity is 38 ft/s straight up into the air so v0=+38

h(t)=-16t2+38t+30

When the object hits the ground, h=0.

h=-16t2+38t+30=0

Simplifying 8t2-19t-15=0

(8t+5)(t-3)=0

t=-5/8 or 3

As time cannot be -ve, t=3s. The answer is C.

6 0
2 years ago
Read 2 more answers
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