How do I solve number 1

Mathematics

1 answer:

cestrela7 [59]2 years ago

3 0

Because he ended up paying $24 more than the actual price of the drill, this is the amount of interest he paid.

In total, the repairman pays $324 in 6 equal payments. So, each payment was $\dfrac{\$324}6=\$54$ .

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The volume of this CONE is 175π cubic units.

yulyashka [42]

Answer:

1649.33 units³

Step-by-step explanation:

Let the height and the radius be known as "h" and "r" respectively.

<u>Formulae(s):</u>

Volume of cylinder: πr²h
Volume of cone: πr²h/3

Clearly, we can see that the volume of the cylinder is three times greater than the volume of the cone as,

⇒ πr²h = 3(πr²h/3)
⇒ πr²h = πr²h (True)

<u>Determining the volume of the cylinder;</u>

⇒ Volume of cylinder = Volume of cone × 3
⇒ Volume of cylinder = 175π × 3
⇒ Volume of cylinder = 525π
⇒ Volume of cylinder = 1649.33 units³ (2 d.p)

Therefore, the volume of the cylinder is 1649.33 units³.

6 0

1 year ago

You need to test a claim that more than 18% of students at your campus do not know their blood types. Which sampling method woul

DerKrebs [107]

Given that:

$p = 18\%$ ---- i.e. the proportions that do not know their blood group

There are several sampling methods, however the best sampling method to use in this case is a simple random sampling.

This is because it gives each student in the campus an equal chance of being selected to participate.

The sample would be collected from the population of students in the school campus.

From the question, given proportion is about the students in the campus. So, the sample to be selected must represent the case study, which are the students

The chosen sample would be used by conducting a test of hypothesis

To carry out this test, we need to set the null and alternate hypotheses.

Then calculate the critical value.

Then the test statistic.

How the test statistic compares to the critical value will determine if the null hypothesis will be accepted or rejected

Further reading:

brainly.com/question/22850174

6 0

2 years ago

An airplane with an air speed of 165 mph is headed 210°. If the plane encounters a 15 mph wind from the west, find the ground sp

mestny [16]

Since a calculator is involved in finding the answer, it makes sense to me to use a calculator capable of adding vectors.

The airplane's ground speed is 158 mph, and its heading is 205.3°.

_____
A diagram can be helpful. You have enough information to determine two sides of a triangle and the angle between them. This makes using the Law of Cosines feasible for determining the resultant (r) of adding the two vectors.
.. r^2 = 165^2 +15^2 -2*165*15*cos(60°) = 24975
.. r = √24975 ≈ 158.03
Then the angle β between the plane's heading and its actual direction can be found from the Law of Sines
.. β = arcsin(15/158.03*sin(60°)) = 4.7°
Thus the actual direction of the airplane is 210° -4.7° = 205.3°.

The ground speed and course of the plane are 158 mph @ 205.3°.