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1 year ago

240 students to 12 teachers as ratio

Mathematics

1 answer:

grigory [225]1 year ago

7 0

Answer:

1 : 20 20 students for every 1 teacher

Step-by-step explanation:

divide both sides by 12

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A new curing process developed for a certain type of cement results in a mean compressive strength of 5000 kilograms per square

Sedbober [7]

Answer:

$\alpha =0.0668$

Step-by-step explanation:

Data given and notation

The info given by the problem is:

$n=25$ the random sample taken

$\mu =5000$ represent the population mean

$\sigma =100$ represent the population standard deviation

The critical region on this case is $\bar X$ so then if the value of $\bar X \geq 4970$ we fail to reject the null hypothesis. In other case we reject the null hypothesis

Null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the true mean is 5000, the system of hypothesis would be:

Null hypothesis: $\mu = 5000$

Alternative hypothesis: $\mu \neq 5000$

Let's define the random variable X ="The compressive strength".

We know from the Central Limit Theorem that the distribution for the sample mean is given by:

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

Find the probability of committing a type I error when H0 is true.

The definition for type of error I is reject the null hypothesis when actually is true, and is defined as $\alpha$ the significance level.

So we can define $\alpha$ like this:

$\alpha= P(Error I)= P(\bar X$

And in order to find this probability we can use the Z score given by this formula:

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

And the value for the probability of error I is givn by:

$\alpha= P(\bar X$

4 0

1 year ago

The sanitation department calculated that last year each city resident produced approximately 1.643 × 103 pounds of garbage. The

bija089 [108]

Given that, according to sanitation departments report; the samount of garbage produced by 1 resident $= 1.643 \times 10^3$ pound.

Given that population of the city $= 2.61 \times 10^5$

Now we have to find how much garbage did the city sanitation department collect last year.

To find that we just need to multiply the garbage produced by 1 resident with the population of the city.

Total garbage collected $= (2.61 \times 10^5 ) * (1.643 \times 10^3 )$ pounds

Total garbage collected $= (2.61*1.643) \times 10^{5+3}$ pounds

Total garbage collected $= 4.28823 \times 10^8$ pounds

Hence final answer is $4.28823 \times 10^8$ pounds.

4 0

1 year ago

Read 2 more answers

a blockbuster movie makes about $247,000,000 in the United States during its opening weekend. that same weekend another movie op

Nutka1998 [239]

Answer:

whats the question?

Step-by-step explanation:

7 0

1 year ago

Graph the image of the given triangle under a dilation with a scale factor of 12 and center of dilation (0, 0)

AysviL [449]

Answer:Graph the image of the given triangle under a dilation with a scale factor of 12 and center of dilation (0, 0)

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1 year ago

The spinner shown has eight equal-sized sections. The pointer lands on an even number 135 times out of 250 spins. Which of the f

forsale [732]

Answer:

A and D

Step-by-step explanation:

Here, we shall be evaluating the validity of the statements;

A. Yes, A is true

There are four even numbers 2,4,6 and 8 and 4 odd number 1,3,5,7; The landing should be equal at 125 each

B. This is wrong

It is supposed to land half of the number of time s which is half of 250 and that is 125

C.This is wrong

The numbers greater than 4 are 5,6,7,8

Now, the probability should be 4/8 = 1/2 and that is 50%

D. This is correct

Number of times we have a landing on odd numbers is 250-135 = 115

The experimental probability of landing on an odd number is thus 115/250 = 0.46 which is 46%

8 0

2 years ago