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3 years ago

The secret number has a 7 in the ones place. The tens number is an odd number

1 answer:

7 0

This really is left up to you as long as you have an odd number in the tens place and a 7 in the ones place. How big (or small) the number is is up to you. As long as it is at least 17, it's pretty much up to you.

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Consider a uniform distribution created by a random number generator. The distribution looks like a square with a length of 1 an

vekshin1

The rigorous way to do this would be to compute a few integrals, but less work is usually better. Each of these probabilities correspond to the areas of rectangles. Each rectangle will have a height of 1, and the probability of interest will tell you everything you need to know about their lengths.

$\mathbb P(0\le X\le0.4)\implies \text{length}=0.4\implies\mathbb P(0\le X\le0.4)=0.4\times1=0.4$

$\mathbb P(0.4\le X\le1)\implies \text{length}=0.6\implies\mathbb P(0\le X\le0.4)=0.6$

Alternatively, you can use the fact that $\mathbb P(0.4\le X\le 1)=1-\mathbb P(0\le X\le 0.4)$ to get the same result.

$\mathbb P(X>0.6)=\mathbb P(0.60.6)=0.4$

$\mathbb P(X\le0.6)\implies \text{length}=0.6\implies\mathbb P(X\le0.6)=0.6$

$\mathbb P(0.23\le X\le0.76)\implies \text{length}=0.76-0.23=0.53\implies\mathbb P(0.23\le X\le0.76)=0.53$

3 0

3 years ago

For a random sample of 50 measurements on the breaking strength of cotton threads, the mean breaking strength was found to be 21

Vikentia [17]

Answer:

205.81 to 214.19

Step-by-step explanation:

Sample size (n) = 50

Sample mean weight (X) = 210 grams

Sample standard deviation (s) = 18 grams

Confidence coefficient (Z) at 90% = 1.645

The confidence interval for the true mean breaking strength of cotton threads of this type, at a 90% confidence level, is given by:

$CI=X \pm Z*\frac{s}{\sqrt n}\\CI=210 \pm 1.645*\frac{18}{\sqrt 50}\\CI = 210 \pm 4.19\\CI =205.81\ to\ 214.19$

The confidence interval is 205.81 grams to 214.19 grams.

6 0

3 years ago

Rachel's chocolate bar is 43% cocoa. If the weight of the chocolate bar is 68 grams, how many grams of cocoa does it contain? Ro

Yanka [14]

Answer:

29.24 grams

Step-by-step explanation:

It is given that,

Rachel's chocolate bar is 43% cocoa

The weight of the chocolate bar is 68 grams

We need to find how many grams of cocoa does it contain. It means it will contain 43% of 68 grams. It can be solved as follows :

$C=\dfrac{43}{100}\times 68\\\\C=29.24\ \text{grams}$

Hence, it will have 29.24 grams of cocoa.

7 0

3 years ago

Describe how a model can help you round a decimal.

Katarina [22]

Answer:

you dint put up the pictures so not sure

Step-by-step explanation:

6 0

3 years ago

Is cos 314 positive, negative or zero

Dafna1 [17]

Cos (314) = .694 is positive

7 0

3 years ago