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andrezito [222]
3 years ago
11

julia is putting together bag of 45 blocks. if she wants the probability of choosing a red block to be 1/5 how many red blocks j

ulia put in the bag?
Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0

Answer:

9

Step-by-step explanation:

Given that the sample size is 45 blocks

Let number of red blocks in the bag to be x

Then the probability of chosing a red block will be x/45

Given that the probability of choosing a red block is 1/5 then you can form the expression;

x/45 = 1/5 ---------------find the value of x  by performing cross multiplication

5x=45*1

5x/5=45/5

x=9

Answer

Julia put 9 red blocks in the bag.

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She can wrap 15 packages :)
6 0
3 years ago
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Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
Orlov [11]

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by 4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

4 0
2 years ago
Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog hou
Luda [366]
The complete question is
<span>Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog house are a = 2 feet, b = 1 foot, and c = 1.4 feet.
</span><span>If Bradley plans to paint the outside of the dog house blue, not including the bottom, how many square feet of paint will he use?

the picture in the attached figure
</span>
we know that

surface area of the figure=surface area of cube+surface area of triangular prism

surface area of cube=4*a²----> 4*2²-----> 16  ft²

surface area of triangular prism=2*[a*c]+2*[a*b/2]---> 2*[2*1.4]+[2*1]
surface area of triangular prism=5.6+2----> 7.6 ft²

surface area of the figure=16 ft²+7.6 ft²----> 23.6 ft²

the answer is
23.6 ft²

7 0
3 years ago
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Sebastian is going to choose the color pattern
jeka94

Answer:

use blue red blue red

Step-by-step explanation:

5 0
3 years ago
Find the volume of the<br> triangular prism.<br> 3.6 cm<br> 5.4 cm<br> 9 cm
MrMuchimi

Answer:

174.96cm2

Step-by-step explanation:

V=lbh

=3.6×5.4×9

=174.96cm2

I don't knowif you want it in milliliters or litres so here are both of them

milliliters = 174.96

litres = 0.17496

6 0
1 year ago
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