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kotykmax [81]
3 years ago
11

Jonas is doing a science experiment with his class. The teacher has 21 fluid ounce of pond water to share equally with 10 pairs

of students. How much pond water will Jonas and his science partner receive?
Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0
2.1 ounces because you divide 21 by 10 which equals 2.1

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What are the slope and y intercept form for the graph of y+9x=-6
Lubov Fominskaja [6]
Slope is -9 and y intercept is -6
5 0
3 years ago
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than av
34kurt

Answer:

Probability that the 50 randomly selected laptops will have a mean replacement time of 3.1 years or less is 0.0092.

Yes. The probability of this data is unlikely to have occurred by chance alone.

Step-by-step explanation:

We are given that the replacement times for the model laptop of concern are normally distributed with a mean of 3.3 years and a standard deviation of 0.6 years.

He then randomly selects records on 50 laptops sold in the past and finds that the mean replacement time is 3.1 years.

<em>Let M = sample mean replacement time</em>

The z-score probability distribution for sample mean is given by;

            Z = \frac{ M-\mu}{\frac{\sigma}{\sqrt{n} } }} }  ~ N(0,1)

where, \mu = population mean replacement time = 3.3 years

            \sigma = standard deviation = 0.6 years

            n = sample of laptops = 50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the 50 randomly selected laptops will have a mean replacement time of 3.1 years or less is given by = P(M \leq 3.1 years)

 P(M \leq 3.1 years) = P( \frac{ M-\mu}{\frac{\sigma}{\sqrt{n} } }} } \leq \frac{ 3.1-3.3}{\frac{0.6}{\sqrt{50} } }} } ) = P(Z \leq -2.357) = 1 - P(Z \leq 2.357)

                                                           = 1 - 0.99078 = <u>0.0092</u>  or  0.92%          

<em>So, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2.357 in the z table which will lie between x = 2.35 and x = 2.36 which has an area of 0.99078.</em>

Hence, the required probability is 0.0092 or 0.92%.

Now, based on the result above; <u>Yes, the computer store has been given laptops of lower than average quality</u> because the probability of this data is unlikely to have occurred by chance alone as the probability of happening the given event is very low as 0.92%.

8 0
3 years ago
Which of the following statements about trapezoids is true? 
maw [93]

    D one pair of opposite sides is parallel is the answer because trapezoids are another pair angled towards each and if  you follow long enough they will intersect. A couldn't be true because if ALL the angles are corresponding angles you would need two pairs of parallel lines. B isn't correct because the sides would need to be parallel for that too. C well you've already proved they don't have two pairs of parallel lines.

Hope this helps :)

4 0
3 years ago
Read 2 more answers
70 POINTS Given the function, f (x) = 1/x-1 - 5 , choose the correct transformation.
matrenka [14]

Answer:

right 1, down 5

Step-by-step explanation:

We are given function as

f(x)=\frac{1}{x-1}-5

Firstly, we will find parent function

f(x)=\frac{1}{x}

We can see that in place of x , we have x-1

so, it is shifted right side by 1 unit

and 5 is subtracted from y-value

so, it is shifted downward by 5 units

right 1, down 5.........Answer

5 0
3 years ago
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Given that BC = 7, AB = 17.89, and C is between A and B, what is the length of ?
ivanzaharov [21]
*assuming that ABC is a straight line** 
<span>then you have </span>
<span>AB = 17.89 ..... this is the length of the whole line </span>

<span>BC is a part of the line = 7 </span>

<span>therefore the length of the other part = 17.89 - 7 </span>

<span>= 10.89</span>
8 0
3 years ago
Read 2 more answers
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