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Butoxors [25]
3 years ago
11

Question 11

Mathematics
1 answer:
Anettt [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Th answer is 3.74

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Bottled water and medical supplies are to be shipped to victims of a hurricane by plane. Each plane can carry 90,000 pounds and
Kaylis [27]

Answer:4000 bottle containers and 1000

Medical kits

Step-by-step explanation:

The total weights the plane can take per trip is 90000lb. It implies that if we multiply the weight of each bottle container by the number of bottle container and add it to the product of the number medical kit and the weight of each medical kit, we will obtain a total weight of 90000lb.

If x is the number of bottle and y is the number of medical kit

20×x+10×y=90000....i

Also

The total volume the plane can take per trip is 6000ft³ It implies that if we multiply the volume of each bottle container by the number of bottle container and add it to the product of the number medical kit and the volume of each medical kit, we will obtain a total volume of 6000ft³.

Recall, x is the number of bottle and y is the number of medical kit

1×x+2×y=6000....ii

Combining equation i and ii and solving simultaneously,

x=4000 units and y= 1000 units in each plane trip

4 0
3 years ago
Read 2 more answers
The graph shows the relationship between the number of weeks and the number of hours spent on the computer. What rule relates th
deff fn [24]

Answer: multiply the number of weeks by 3 or A ( if in assessment guide book)

Step-by-step explanation: just look at the point where its between 2 and 4

3 0
3 years ago
3. Based on the diagram, what can you conclude and why?
Aleksandr-060686 [28]
The answer to this is D.
7 0
3 years ago
Rachel has 37 videos and decides to purchase 2 more each week. Write an equation describing this situation.
sergiy2304 [10]
Answer:

T = 2w + 37

Step-by-step explanation:

Let T represent the total amount of videos Rachel has after w weeks

Rachel already owns 37 videos

She purchases 2 more each week

Therefore, after w weeks, the total amount of videos Rachel has can be represented by the expression:

2w + 37

Then the total after w weeks can be modeled by the equation:

T = 2w + 37

8 0
3 years ago
Student scores on exams given by a certain instructor have mean 74 and standard deviation 14. This instructor is about to give t
Lapatulllka [165]

Answer:

P(\bar X >80)=P(Z>2.143)=1-P(z

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let X the random variable that represent the Student scores on exams given by a certain instructor, we know that X have the following distribution:

X \sim N(\mu=74, \sigma=14)

The sampling distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

The deduction is explained below we have this:

E(\bar X)= E(\sum_{i=1}^{n}\frac{x_i}{n})= \sum_{i=1}^n \frac{E(x_i)}{n}= \frac{n\mu}{n}=\mu

Var(\bar X)=Var(\sum_{i=1}^{n}\frac{x_i}{n})= \frac{1}{n^2}\sum_{i=1}^n Var(x_i)

Since the variance for each individual observation is Var(x_i)=\sigma^2 then:

Var(\bar X)=\frac{n \sigma^2}{n^2}=\frac{\sigma}{n}

And then for this special case:

\bar X \sim N(74,\frac{14}{\sqrt{25}}=2.8)

We are interested on this probability:

P(\bar X >80)

And we have already found the probability distribution for the sample mean on part a. So on this case we can use the z score formula given by:

z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

Applying this we have the following result:

P(\bar X >80)=P(Z>\frac{80-74}{\frac{14}{\sqrt{25}}})=P(Z>2.143)

And using the normal standard distribution, Excel or a calculator we find this:

P(Z>2.143)=1-P(z

6 0
4 years ago
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