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3 years ago

How Can I Use Decimal Grids to model Tenths?

1 answer:

7 0

Understand that a decimal is any number written in the base-10 system. In common usage, the term "decimal" refers to a number that uses a decimal point to separate the ones place from tenths, hundredths, etc. Represent decimals using area models. State the fraction (tenths or hundredths) that is equivalent to a given decimal. Compare the values of decimals (tenths or hundredths) using area models and/or a number line. For example, compare the value of 0.8 and 0.21.Find a decimal that has a value between two other decimals. For example, find a decimal with a value between 0.3 and 0.4.

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Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find th

Digiron [165]

Answer:

$P(X = 0) = 0.0263$

$P(X = 1) = 0.1407$

$P(X = 2) = 0.3012$

$P(X = 3) = 0.3224$

$P(X = 4) = 0.1725$

$P(X = 5) = 0.0369$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 5, p = 0.517$

Distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.517)^{0}.(0.483)^{5} = 0.0263$

$P(X = 1) = C_{5,1}.(0.517)^{1}.(0.483)^{4} = 0.1407$

$P(X = 2) = C_{5,2}.(0.517)^{2}.(0.483)^{3} = 0.3012$

$P(X = 3) = C_{5,3}.(0.517)^{3}.(0.483)^{2} = 0.3224$

$P(X = 4) = C_{5,4}.(0.517)^{4}.(0.483)^{1} = 0.1725$

$P(X = 5) = C_{5,5}.(0.517)^{5}.(0.483)^{0} = 0.0369$

6 0

3 years ago

For 25 points:<br> x + 5 = 10<br> 2x + ? = 20<br> Answer for "?"

Phoenix [80]

Answer:

x= 5

?=10

Step-by-step explanation:

Mark me Brainliest Pls

8 0

3 years ago

The distance from Earth to the moon is 2.4 × 105 miles. The distance from Earth to the sun is 9.3 × 107 miles. Complete the sent

Liono4ka [1.6K]

Answer:

$Distance = 9.276 * 10^7$ miles

Step-by-step explanation:

Given

$Earth\ to\ Moon = 2.4 * 10^5 miles$

$Earth\ to\ Sun = 9.3 * 10^7 miles$

Required

Difference in the distance of earth to sun to the distance of earth to moon

This can be solved using:

$Distance = Earth\ to\ Sun - Earth\ to\ Moon$

$Distance = 9.3 * 10^7 - 2.4 * 10^5$

Express 10⁷ as 10⁵ * 10²

$Distance = 9.3 * 10^5 * 10^2 - 2.4 * 10^5$

Factorize:

$Distance = 10^5(9.3 * 10^2 - 2.4)$

Solve the expression in the bracket

$Distance = 10^5(9.3 * 100 - 2.4)$

$Distance = 10^5(930 - 2.4)$

$Distance = 10^5(927.6)$

$Distance = 927.6 * 10^5$

Expand 927.6

$Distance = 9.276 * 10^2 * 10^5$

$Distance = 9.276 * 10^{2+5}$

$Distance = 9.276 * 10^7$

3 0

3 years ago

A student takes an exam containing 16 true or false questions. If the student guesses, what is the probability that he will get

almond37 [142]

Answer:

0.001831055

Step-by-step explanation:

Here, n = 16, p = 0.5, (1 - p) = 0.5 and x = 14

As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)

We need to calculate P(X = 14)

P(x =14) = 16C14 * 0.5^14 *(1-0.5)^2

= 120 * 0.5^14 *(1-0.5)^2

= 0.001831055

5 0

3 years ago

when there are equal forces from opposite directions acting on an object the forces are said to be which of the following

svetoff [14.1K]

Answer: Balanced Forces

Step-by-step explanation:

Since both of the forces are equal and going opposite directions on an object, the object will not move and the forces are then identified as Balanced Forces. Therefore, the net force is equal to 0.

8 0

3 years ago