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koban [17]
3 years ago
13

The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard devia

tion is 1.9 years. Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living between 12.3 and 14.2 years.
Mathematics
1 answer:
kotykmax [81]3 years ago
3 0

Answer: 13.5 % would be the answer

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omeli [17]

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7 0
3 years ago
The radius of a circle is 3cm. What is the area of the circle? Use 3.14 for pie.​
vekshin1

Answer: 28.26 square cm

Step-by-step explanation:

A=\pi r^{2}=\pi(3)^{2} \approx 3.14(3)^{2} \approx \boxed{28.26 \text{ cm}^{2}}

6 0
2 years ago
A circle with radius 3 has a sector with a central angle of 1/9 pi radians
Art [367]

The area of sector is 1.57 m²

<u>Explanation:</u>

Given:

Radius, r = 3 m

Central angle of a sector = 1/9π radians

Area of sector, A = ?

We know:

Area of sector, A = \frac{1}{2} r^2 \alpha

where,

α is the central angle in radians

On substituting the value we get:

A = \frac{1}{2} X(3)^2 X \frac{1}{9}X 3.14\\ \\A = 1.57 m^2

Therefore, the area of sector is 1.57 m²

5 0
3 years ago
Information on a packet of​ seeds, which may not be a random sample of​ seeds, claims that the germination rate is 94​%. ​What's
Evgesh-ka [11]

Answer:

0.1052

Step-by-step explanation:

Given that proportion of germination in the population is 94% =0.94

p = 0.96

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Std dev of p = \sqrt{\frac{pq}{n} } \\=0.016

The probability that more than 96​% of the 220 seeds in the packet will​ germinate

= P(p\geq 0.96)\\=P(Z\geq \frac{0.96-0.94}{0.016})\\=P(Z\geq 1.25)\\==1-0.8948\\=0.1052

Assumptions are np and nq >5 and also sample size >220 hence normal

7 0
3 years ago
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Step-by-step explanation:

Use double and triple angle identities:

sin(2x) + cos(3x)

2 sin x cos x + 4 cos³x − 3 cos x

8 0
3 years ago
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