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3 years ago

A cylinder has a radius of 5 centimeters

Mathematics

1 answer:

zaharov [31]3 years ago

6 0

SA for a cylinder = 2 pie r squared + 2 pie r h

= 2 x pie x 25 + 2 x pie x 5 x 17

= 220 pie or 690.8 if you use 3.14 instead of the full value

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Birthdays of hockey players: In Malcolm Gladwell’s book "Outliers" he shares the work of Canadian psychologist Roger Barnsley, w

alexgriva [62]

Answer:

The P-value is 0.009.

Step-by-step explanation:

We are given that after debating whether this set of hockey players can be viewed as a random sample of hockey players, they decide to run a hypothesis test anyway to practice finding the P‐value.

We are given that the following hypothesis below;

Null Hypothesis, $H_0$ : p = 0.25

Alternate Hypothesis, $H_A$ : p > 0.25

Now, the test statistics that was used here for the above hypothesis would be;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

Also, the test statistics given to us is 2.37.

SO, the P-value of the test statistics is given by the following formula;

P-value = P(Z > 2.37) = 1 - P(Z $\leq$ 2.37)

= 1 - 0.99111 = 0.00889 ≈ 0.009

The above probability is calculated by looking at the value of x = 2.37 in the z table which has an area of 0.99111.

Therefore, the required P-value is 0.009.

6 0

3 years ago

My number has two periods. One period contains the digit 3,0 and 6 in that order. The other contains the digits 0,9 and 5 in tha

son4ous [18]

306 and 095 the 0 means no hundreds mean your number is 30695 3thosand and 6hundered and 95

3 0

3 years ago

Read 2 more answers

In a recent survey about the types of transportation used for vacation, 36% of the 200 people surveyed chose airplanes, 53% chos

tigry1 [53]

Fist lets find the % of people using boats
100%- (36+53+2)= 9%
then find the number of people of 9%
200= 100%
B=9%
100B=200x9
B= 18

8 0

3 years ago

Hi help me please i need help

larisa86 [58]

Answer:

First answer is correct.

Step-by-step explanation:

5 0

3 years ago

Write the equation of a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2(sqrt5)

Xelga [282]

Answer:

$\frac{x^2}{16}-\frac{b^2}{4}=1$

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\frac{4^2}{a^2}-\frac{0}{b^2} =1\\\frac{4^2}{a^2}=1\\ a^2=16\\a=\sqrt{16}=4\\ a=4$

The foci c is at +/-2√5, using c² = a² + b²:

$c^2=a^2+b^2\\(2\sqrt{5} )^2=4^2+b^2\\20 = 16 + b^2\\b^2=20-16\\b^2=4\\b=\sqrt{4}=2\\ b=2$

Substituting the value of a and b to get the equation of the hyperbola:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\\\frac{x^2}{16}-\frac{b^2}{4}=1$

5 0

3 years ago