All categories

4 years ago

Abe is going to plant 54 oak trees and 27 pine trees.

Mathematics

1 answer:

zhannawk [14.2K]4 years ago

7 0

Answer:

27 trees

Step-by-step explanation:

Both numbers are divisible by 27. For the oak trees there would be 2 rows and for the pine trees there would be 1 row, each made up of 27 trees.

You might be interested in

Candy. Someone hands you a box of a dozen chocolate-covered candies, telling you that half are vanilla creams and the other half

BaLLatris [955]

Answer:

a) P=0.091

b) If there are half of each taste, picking 3 vainilla in a row has a rather improbable chance (9%), but it is still possible that there are 6 of each taste.

c) The probability of picking 4 vainilla in a row, if there are half of each taste, is P=0.030.

This is a very improbable case, so if this happens we would have reasons to think that there are more than half vainilla candies in the box.

Step-by-step explanation:

We can model this problem with the variable x: number of picked vainilla in a row, following a hypergeometric distribution:

$P(x=k)=\dfrac{\binom{K}{k}\cdot \binom{N-K}{n-k}}{\binom{N}{n}}$

being:

N is the population size (12 candies),

K is the number of success states in the population (6 vainilla candies),

n is the number of draws (3 in point a, 4 in point c),

k is the number of observed successes (3 in point a, 4 in point c),

a) We can calculate this as:

$P(x=3)=\dfrac{\binom{6}{3}\cdot \binom{12-6}{3-3}}{\binom{12}{3}}=\dfrac{\binom{6}{3}\cdot \binom{6}{0}}{\binom{12}{3}}=\dfrac{20\cdot 1}{220}=0.091$

b) If there are half of each taste, picking 3 vainilla in a row has a rather improbable chance (9%), but is possible.

c) In the case k=4, we have:

$P(x=3)=\dfrac{\binom{6}{4}\cdot \binom{6}{0}}{\binom{12}{4}}=\dfrac{15\cdot 1}{495}=0.030$

This is a very improbable case, so we would have reasons to think that there are more than half vainilla candies in the box.

4 0

4 years ago

Find the volume of the cone. Use 3.14 for p. Round to the nearest tenth.

Anastasy [175]

I hope this helps you

cones radius is 24/2=12

we have to find cones height

use Pythagorean

h^2+12^2=37^2

h =35

V=pi.r^2.h/3

V=3.14.12^2.35/3

V=5275.2

7 0

4 years ago

What is the value of n + 1 if n= 7?

inna [77]

Answer:

Step-by-step explanation:

n+1equal 8

7+1 equal to 8

3 0

3 years ago

Read 2 more answers

Suppose the probability density function of the length of computer cables is f left-parenthesis x right-parenthesis equals 0.1 f

4vir4ik [10]

Answer:

a) Mean = 1205

Standard Deviation = 2.89

b) P( 1192 < x < 1204) = 0.4

Step-by-step explanation:

We are given the following information in the question:

$f(x) = 0.1\\$

a = 1200, b = 1210

We are given a uniform distribution.

a) Mean:

$\mu = \displaystyle\frac{a+b}{2}\\\\\mu = \frac{1200+1210}{2} = 1205$

Standard Deviation:

$\sigma = \sqrt{\displaystyle\frac{(b-a)^2}{12}}\\\\= \sqrt{\displaystyle\frac{(1210-1200)^2}{12}} = \sqrt{8.33} = 2.89$

b) P( 1192 < x < 1204)

$=\displaystyle\int_{1192}^{1204} f(x) dx\\\\=\displaystyle\int_{1200}^{1204} (0.1) dx\\\\=0.1[x]_{1200}^{1204} = (0.1)(1204-1200) = 0.4$

6 0

3 years ago

The manager of a clothing store in the mall wants to collect data to find out customers' opinions of the brands of clothing sold

nydimaria [60]

Answer:

Step-by-step explanation:

Its wouldn't be A since there are numbers bigger than 20 B is not correct since it said 25 people that did not buy any clothes so you would not get a good opinion its not D because out of the 40 people some could have not bought anything from the store. Its C because its the biggest number of people that actually shopped and got things from that store

6 0

3 years ago