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2 years ago

11

A bag has 10 marbles and 4 are black. Joseph picks 2 marbles without replacing the first. What is the probability that both are

black?

1 answer:

Crank2 years ago

6 0

If there are 10 marbles in total then the probability is 2/10

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Jason Witten's Salary Negotiation Let's say that tight end Jason Witten (a football player) was given two options when negotiati

Leokris [45]

Answer:

Option 1: It is better for him to be paid per catch, starting with 1 cent and doubling with each catch up to 110

Explanation:

If Jason were to be paid per catch given that he makes a total of 110 catches for the 2017 season in his new contract, he would make a total of :

0.01 × 2^109 = $6.4903711e+30(calculator result, means 6 then 30 digits after)

Therefore it is better for Jason to be paid per catch and not a flat fee of $2000000

3 0

1 year ago

The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millim

rjkz [21]

Answer:

Step-by-step explanation:

Given is a paired data which consist of temperatures (X in mm) and growth

We have to find the linear correlation i.e. the measure of association between these two variables.

x y xy x^2 y^2

62 36 2232 3844 1296

76 39 2964 5776 1521

50 50 2500 2500 2500

51 13 663 2601 169

71 33 2343 5041 1089

46 33 1518 2116 1089

51 17 867 2601 289

44 6 264 1936 36

79 16 1264 6241 256

Mean 58.88888889 27 1623.888889 3628.444444 916.1111111

cov 33.88888889

std dev x 13.43916333 14.50861813

sx *sy

r 0.195529176

Hence we find that correlation coefficient 0.1955.

7 0

2 years ago

A standard weight known to weigh 10 grams. Some suspect bias in weights due to manufacturing process. To assess the accuracy of

notsponge [240]

Answer:

a) The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams

b) 49 measurements are needed.

Step-by-step explanation:

Question a:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.98}{2} = 0.01$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.01 = 0.99$ , so Z = 2.327.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.327\frac{0.0003}{\sqrt{5}} = 0.00031$

The lower end of the interval is the sample mean subtracted by M. So it is 10.0044 - 0.00031 = 10.00409 grams

The upper end of the interval is the sample mean added to M. So it is 10 + 0.00031 = 10.00471 grams

The 98% confidence interval for the mean weight is between 10.00409 grams and 10.00471 grams.

(b) How many measurements must be averaged to get a margin of error of +/- 0.0001 with 98% confidence?

We have to find n for which M = 0.0001. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.0001 = 2.327\frac{0.0003}{\sqrt{n}}$

$0.0001\sqrt{n} = 2.327*0.0003$

$\sqrt{n} = \frac{2.327*0.0003}{0.0001}$

$(\sqrt{n})^2 = (\frac{2.327*0.0003}{0.0001})^2$

$n = 48.73$

Rounding up

49 measurements are needed.

7 0

1 year ago

What is the value of the digit 6 in the number 48.061?

Gwar [14]

Answer:

The hundredths place.

Step-by-step explanation:

48 is the whole number, and .061 is the decimals. As you probably know, this is the whole numbers place value.

ones, tens, hundreds, thousand, 10 thousand, 100 thousand, million...ect.

The decimal places are different

in this case the 0 is the tenths<u> </u>

the 6 is the hundredths

and the 1 is the thousandths.

Mostly, the decimal points are just with added ths to the end.

Hope this helped :D

8 0

1 year ago

fill inbthe bubble next to all the double facts you could use to find the sum of 3+2? A 2+2 B 5+5 C 3+3 D 1+1

GarryVolchara [31]

Answer:

Option A , C and D are correct.

Step-by-step explanation:

Double Facts states that the additions in which a number is added to itself.

then; by definition of double facts

Use Double facts to find the sum of 3 + 2

3 + 2

=3 + (3 - 1)

= 3+ 3 - 1

= 6 - 1

= 5

similarly,

3+2 = (1+2) + 2 = 1 + 2+2 = 1 + 4 = 5

Also;

3 + 2 = 3 + (1+1) = 3 +1+1 = 5

therefore, the double facts that used to find the sum of 3+2 are; 2+2 , 3+3 and 1+ 1.

4 0

2 years ago