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max2010maxim [7]
3 years ago
12

You can spend at most $60 on beads. A bag containing red beads costs $2 per bag. A bag containing blue beads costs $3 per bag. Y

ou need more bags of blue beads than bags of red beads. Write a system of linear equations that represents the situation.
Mathematics
2 answers:
nexus9112 [7]3 years ago
8 0
For this case, the first thing we must do is define variables.
 We have then:
 x: number of blue beads
 y: number of red beads
 We now write the inequations system:
 3x + 2y  \leq  60

x\ \textgreater \  y
 Answer:
 a system of linear inequations that represents the situation is:
 3x + 2y \leq 60 x\ \textgreater \ y
nikitadnepr [17]3 years ago
5 0

Answer:

2r+3b\leq 60

Step-by-step explanation:

Let the number of blue beads bag be represented by = b

Let the number of red beads bags be represented by = r

A bag containing red beads costs $2 per bag. So, total price = 2r

A bag containing blue beads costs $3 per bag. So, total price = 3b

Now its given , you can spend at most $60 on beads so equation becomes:

2r+3b\leq 60

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ololo11 [35]

Answer:

The​ P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is__3.5%___ which is___significant_(at α=0.05)_ so there _is_ sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.

Step-by-step explanation:

Correlation coefficient shows the relation between the <em>weights</em><em>​</em> and <em>highway fuel consumption amounts</em> of seven types of automobile.

P-value states <em>the significance</em> of this relationship. If the p-value is lower than a <em>significance level</em> (for example 0.05) then the relation is said to be significant.

5 0
3 years ago
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
Troy drove 14 miles east and then 8 miles north. How far is
miv72 [106K]
The answer is 6 and that’s after it’s rounded
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3 years ago
Divide 4/5 by 2/3.<br> a. 8/15b. 5/6c. 1 1/5d. 1 7/8
Ivan
4/5÷2/3=x
4/5×3/2=x
   12/10=x 
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3 years ago
What is the approximate value of 113−−−√ to the nearest tenth?
castortr0y [4]

Answer:

10.6

Step-by-step explanation:

1. First, we need to find which digits √(113) is between, and that would be 10 and 11.

2. Okay, so √(113) is between 10 and 11, meaning 113 is between 100 and 121.

3. Since 113 is a little over half between 100 and 121, let's multiply 10.6 by 10.6 to see how close we are to 113:

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4. 112.36 is pretty close to 113, therefore, the dot on the number-line should be placed at 10.6.

7 0
3 years ago
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