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3 years ago

Which number is IRRATIONAL? A) 47 B) 0.09 C) 15 D) 8 45

1 answer:

6 0

Your answer would be B. 0.09, the reason being is that any number that has a 0 and then a decimal point is irrational (or a regular fraction

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What is the answer to (4m-5) - (6m-7+2n)

Yanka [14]

Work:
4m-6m=-2m
-5-(-)7=-5+7=2
Answer: -2m+2+2n
Hope this helps

4 0

4 years ago

John mixed 2 gallons of water with 5 lemons to make lemonade. How many gallons of water would he mix if he used 20 lemons

vova2212 [387]

8 gallons would b the answer

6 0

3 years ago

Read 2 more answers

Data were collected over a 10-year timespan from a sample of penguins that were randomly given either metal or electronic tags.

taurus [48]

Question:

Data were collected over a 10-year timespan from a sample of 100 penguins that were randomly given either metal or electronic tags. One variable examined is the length of foraging trips. Longer foraging trips can jeopardize both breeding success and survival of chicks waiting for food. Mean length of 344 foraging trips was 12.70 days for metal-tagged penguins. Mean length of 512 foraging trips was 11.60 days for electronic-tagged penguins. An estimate of the standard error for this difference of means is SE=0.283.

a) We will address the question of whether foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins. State hypotheses in terms of two means.

b. Calculate the sample statistic xM - xE

c. Calculate a t-test statistic, using the given estimate of SE.

d. What are the correct (conservative) degrees of freedom for a t-distribution for this test?

e. Use t-distribution methods to find the p-value and draw a rough curve with appropriate shaded region. You may give either a precise p-value from software or bounds on a p-value from Table A.

f. State the conclusion of the test in context, using nontechnical language.

Answer:

See explanation below

Step-by-step explanation:

a) The null and alternative hypotheses are:

H0 : uM - uE = 0

H1 : uM - uE > 0

b) Calculating the sample statistic,

xM-xE, we have:

Given xM = 12.70 days

xE = 11.60 days

xM - xE = 12.70 - 11.60 = 1.10 days

Therefore sample statistic = 1.10

c) Calculating the test statistic, using the given estimate of SE, we have:

Given standard error, SE = 0.283

$\frac{xM - xE}{SE} = \frac{12.70 - 11.60}{0.283} = 3.89$

Therefore, t test = 3.89

d) The correct degrees of freedom.

We have:

$Min(n_M-1, n_E-1 ) = Min(344-1, 512-1) = Min(343, 511)$

df = 343

e) p-value:

Pvalue = P(Z > 3.89) = 0.00000602

Since p value is less than significance level of 0.05, we reject null hypothesis H0.

f) Conclusion:

There is enough evidence to conclude that foraging trips are longer on average among metal-tagged penguins than among electronic-tagged penguins.

7 0

3 years ago

Write a word description of the set.

pychu [463]

Answer: negative integers greater than -10

This is because stuff on the number line to the right is larger than stuff on the left. We can say 2 < 7 since 7 is to the right of 2.

Also, -7 < -2 for similar reasoning.

Saying integers greater than -10 excludes this endpoint. We stop once we reach -1 because 0 and anything larger aren't negative integers.

6 0

3 years ago

On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three hundred seventy-five were under 30 years o

Grace [21]

Answer:

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

Step-by-step explanation:

Given :

Sample, size n = 500

A = driver is under the influence of alcohol :

Y = driver is less than 30 years old

P(A) = 275 / 500 = 0.55

P(Y) = 375 / 500 = 0.75

P(AnY) = 225 / 500 = 0.45

P(YnA') = (1 - 225/375)*0.75 = 0.4 * 0.75 = 0.30

Joint probability table :

_____ A _____ A'

_ Y_ 0.45 ___ 0.30

_ Y'_ 0.05___ 0.20

To determine if it is mutually exclusive : P(AnY) = 0

P(AnY) = 0.45 ; hence, it is not mutually exclusive

For A and Y to be independent ; P(A|Y) = P(A) ;

P(A|Y) = P(AnY) / P(Y)

P(A|Y) = 0.45 / 0.75 = 0.6

Hence, A and Y are not independent.

7 0

3 years ago