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ArbitrLikvidat [17]
3 years ago
8

Enrique is a library volunteer. On Saturday he shelved 240 books in one hour. At this rate how many books did he shelve in one m

inute?
Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0
Answer is 4 books per minute. 240 (books) divided by 60 (minutes in one hour) equals 4
You might be interested in
Find the mode for a data set. 18,24,24,24,25,37,37,46
Sphinxa [80]

Answer:

24 is the mode

Step-by-step explanation:

Mode is the number that is most often seen.

18 is seen 1 time

24 is seen 3 times

25 is seen 1 time

37 is seen 2 times

46 is seen 1 time

24 is the mode because it is seen the most often.

4 0
3 years ago
Read 2 more answers
Professor Doom has applied to the town planning board to build a Villain's Lair in a suburban neighborhood. The local residents
tester [92]

Answer:

Check explanation below.

Step-by-step explanation:

Hello!

The objective of this experiment is to test if doctor Doom is controlling the neighbors' minds from his new Lair. To test this a random sample of 11 neighbors was taken and a "free will" test was administrated before the Villain's Lair was constructed and again after it was finished.

This experiment type where you have a single sample and the variable is measured "before" and "after" applying a treatment (in this case, that doctor Doom has moved into town) is a classic example of a paired sample test. You have two dependent variables, X₁: "Results of the free will test before Dr. Doom Lair is constructed" and X₂: "Results of the free will test after Dr. Doom Lair is constructed", with these variables you can establish a new variable, Xd, that I'll define as " X₁- X₂", and the objective of my hypothesis test will be to know if there is any change after the Lair is done, if there is, in fact, a change then the population mean of the difference will be nonzero, symbolically: μd ≠ 0

Using the data I've calculated the summary measures for Xd:

sample mean: Xd[bar]= 3.18

sample standard deviation: Sd= 5.44

The statistic hypothesis is:

H₀: μd = 0

H₁: μd ≠ 0

α: 0.05

(There is no signification level specified, so I've chosen the most common one)

Assuming that the variable difference, Xd, has a normal distribution, and with unknown population variance, the best statistic to use is the Students-t for paired samples:

t=  Xd[bar] - μd  ~t_{n-1}

Sd/√n

This test is two-tailed, so you will reject at low values of the statistic or at high values of it.

t_{n-1;\alpha/2 } = t_{10; 0.025} = -2.228

t_{n-1; 1-\alpha /2} = t_{10; 0.975} = 2.228

If t ≤ -2.228 or t ≥ 2.228 then you reject the null hypothesis.

If -2.228 < t < 2.228 then you don't reject the null hypothesis.

t= <u> Xd[bar] - μd  </u> =  <u> 3.18 - 0  </u> = 1.94

        Sd/√n             5.44/√11

Since the statistic value t= 1.94 then the decision is to not reject the null hypothesis.

So, with a significance level of 5% there is not enough evidence to reject the null hypothesis, this means that the population mean of the difference on the free will test results of the neighbors before and after the Villain's Lair was constructed is equal to cero. In other words, there is not enough evidence to conclude that Dr. Doom is controlling the neighbor's minds.

I hope it helps!

3 0
3 years ago
What is wrong with these statements? Correct each one.
aivan3 [116]

2^3 x 2^5

8 x 32

256

2^3 x 2^5 = 256

4 0
3 years ago
Read 2 more answers
The quotient of a number and -7 and decreased by 2 is 10 find the number
qwelly [4]

Answer:

Step-by-step explanation:

-\frac{n}{7}-2=10\\ \\ -\frac{n}{7}=12\\ \\ n=-84

6 0
2 years ago
The average daily volume of a computer stock in 2011 was million​ shares, according to a reliable source. A stock analyst believ
igomit [66]

Complete question :

The average daily volume of a computer stock in 2011 was p = 35.1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of 40 trading days in 2014, he finds the sample mean to be 30.9 million shares, with a standard deviation of s = 11.8 million shares. Test the hypotheses by constructing a 95% confidence interval. Complete parts (a) through (c) below. State the hypotheses for the test. Construct a 95% confidence interval about the sample mean of stocks traded in 2014.

Answer:

H0 : μ = 35.1 ;

H1 : μ < 35.1 ;

(26.488 ; 35.312)

Step-by-step explanation:

The hypothesis :

H0 : μ = 35.1

H1 : μ < 35.1

The confidence interval :

Xbar ± Margin of error

Xbar = 30.9

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

Margin of Error = 1.96 * (11.8/sqrt(40))

Margin of Error = 4.412

Lower boundary :

30.9 - 4.412 = 26.488

Upper boundary :

30.9 + 4.412 = 35.312

Confidence interval = (26.488 ; 35.312)

Since the population mean value exists within the interval, the we fail to reject the Null.

5 0
2 years ago
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