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Alona [7]
1 year ago
10

Tamara is at the store buying pencils. There is a package with 4 pencils that costs $6 or a package with 5 pencils that costs $7

. Which package is the better buy?A. The $7 package, because each pencil costs $1.40.B. The $6 package, because each pencil costs $0.67.C. The $6 package, because each pencil costs $1.50.D. The $7 package, because each pencil costs $0.71.
Mathematics
1 answer:
Mkey [24]1 year ago
8 0

In order to determine the cost of each pencil we have to divide the total cost for the package of pencils by the number of pencils contained

For the 4 pencils box:

Cost per pencil = Total cost/number of pencils

Cost per pencil = 6/4 = 1.5

Similarly, for the 5 pencils package:

Cost per pencil = 7/5 = 1.4

As you can see, the $7 package is better to buy, because each pencil costs $1.4, then, option A is the correct answer

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The first term in a sequence of numbers is 1/2
Andrei [34K]

Answer:

The correct answer is C. The 4th term is 11.

Step-by-step explanation:

Since the next term is one more than twice the previous, we can calculate it by the following expression:

a_{n} = 2*a_{n-1} + 1

So the second term is:

a_2 = 2*\frac{1}{2} + 1\\a_2 = 2

The third term:

a_3 = 2*2 + 1\\a_3 = 5

And the fourth term:

a_4 = 2*5 + 1\\a_4 = 10 + 1 = 11

The correct answer is C. The 4th term is 11.

7 0
3 years ago
Make a decision about the given claim. Use only the rare event​ rule, and make subjective estimates to determine whether events
V125BC [204]

Answer:

the answer is D

Step-by-step explanation:

5 0
3 years ago
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Dimas [21]
0.5-2(0)^2
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7 0
3 years ago
Read 2 more answers
The quality control manager of a light bulb factory needs to estimate the average life of a large shipment of light bulbs. The p
eimsori [14]

Answer:

b) yes

The manufacturer has the right to state that the light bulbs last on average 400 hours

Step-by-step explanation:

<u><em>Explanation:-</em></u>

<em>Given sample size 'n' = 64</em>

<em>Given standard deviation of the Population (σ)=100</em>

<em>Mean of the sample (x⁻) = 350 hours</em>

<em>95% of confidence interval is determined by</em>

(x^{-} -Z_{0.95} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.95} \frac{S.D}{\sqrt{n} } )

((350 -1.96 \frac{100}{\sqrt{64} } , 350+1.96\frac{100}{\sqrt{64} }  )

(350-24.5 , 350+24.5)

<em>(325.5 , 374.5)</em>

<u><em>Conclusion:-</em></u>

<u><em>Yes</em></u>

The manufacturer has the right to state that the light bulbs last on average 400 hours

4 0
3 years ago
Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylin
sp2606 [1]

Answer:

3,451 cm³

Step-by-step explanation:

The ball is a sphere.

Formula for finding the volume of a sphere = ⁴/3*πr³

Volume of the 3 balls = 3(⁴/3*πr³)

Where,

radius (r) = ½ of diameter = ½(13) = 6.5 cm

Plug in the values into the formula:

Volume of the 3 balls = 3(⁴/3*π*6.5³)

= 4*π*274.625

= 3,451.03953 ≈ 3,451 cm³

3 0
3 years ago
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