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kakasveta [241]
3 years ago
6

What is the purpose of using fraction strips and a 1srip

Mathematics
1 answer:
love history [14]3 years ago
8 0
the one strip is a whole fraction strip and the others are just part of the whole
You might be interested in
Which of the following points would be on the graph of the equation: y=-4x+6
lawyer [7]

Answer:

Option 2: (10, -34)

Step-by-step explanation:

Given the linear equation in slope-intercept form, y = -4x + 6, where the <u>slope</u>, <em>m</em> = -4, and the <u>y-intercept</u>, <em>b</em> = 6:

An easier way of finding out which of the given options is a solution is to substitute their values into the equation to see whether they will provide a true statement.

<h3>Option 1: (-10, 34)</h3>

Substitute x = -10, and y = 34 into the equation.

y = -4x + 6

34 = -4(-10) + 6

34 = 40 + 6

34 = 46 (False statement). Hence, Option 1 is not a solution to the given equation.

<h3>Option 2: (10, -34)</h3>

Substitute x = 10, and y = -34 into the equation.

y = -4x + 6

-34 = -4(10) + 6

-34 = -40 + 6

-34 = -34  (True statement). Hence, Option 2 is a solution to the given equation.

<h3>Option 3: (5, 10)</h3>

Substitute x = 5, and y = 10 into the equation.

y = -4x + 6

10 = -4(5) + 6

10 = -20 + 6

10 = -14  (False statement). Hence, Option 3 is not a solution to the given equation.

<h3>Option 4: (-5, 10)</h3>

Substitute x = -5, and y = 10 into the equation.

y = -4x + 6

10 = -4(-5) + 6

10 = 20 + 6

10 = 26  (False statement). Hence, Option 4 is not a solution to the given equation.

Therefore, the correct answer is Option 2: (10, -34).

7 0
2 years ago
4. The stock market goes up more often that it goes down. Assume the probability that the stock market goes up in a randomly sel
tekilochka [14]

Answer:

a: 0.0022

b: 0.00002

c: 0.0002

d: 924

e:  0.0025

f: 0.6652

g:  Expected value 7.8 months, standard deviation 1.77 months

Step-by-step explanation:

This is a binomial situation.  Either the market goes up, or it doesn't.  (It could stay the same, but it doesn't offer that as an option, so we don't include it).

When calculating probability of a binomial situation, use the formula

(nCr)(p^r)(q^(n-r))   where p is the probability of success, q is the probabilty of failure, n is the the number of times the situation occurs, and r is the desired number of successful outcomes.  The function nCr tells us how many ways you can choose r items from n total items.  In this case, we are choosing some number of months, r, from 12 months, n

For our situation we have:  n = 12, r = 12, p = 0.6, q = 0.4,

For a:   (12C12)(0.6^12)(0.4^0) = (1)(0.0022)(1) = 0.0022

We want all 12 months of success and no months of failure

For b:   (12C0)(0.6^0)(0.4^12) = (1)(1)(0.00002) = 0.00002

We want all months of failure, and no months of success

For c:   (0.6^6)(0.4^6) = 0.0002

We don't need the nCr function because it tells us that it we want 6 months of success followed by 6 months of failure.  There's only 1 way to do that, so there's nothing to count

For d:  12C6 = 924  

There are 924 different ways to the market can go up 6 times out of 12 months

For e:  (12C2)(0.6^2)(0.4^10) = (66)(0.36)(0.0001) = 0.0025

For f:  Add the following probabilities together...

(12C7)(0.6^7)(q^5) + (12C8)(0.6^8)(q^4) + (12C9)(0.6^9)(q^3)

+ (12C10)(0.6^10)(q^2) + (12C11)(0.6^11)(q^1) + (12C12)(0.6^12)(q^0)

= 0.6652

They are mutually exclusive, the probability for the union is zero because they can't happen at the same time

For g:  Find expected value with the formula E = np  , here n = 12, p = 0.6, so

E = 12(0.6) = 7.8 months

Find the standard deviation with the formula s = √(npq), or s = √(Eq), here q = 0.4, so s = √(7.8(0.4)) = 1.77 months

7 0
3 years ago
Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,350 just for the laptop. Sean made a 24% profit on
vitfil [10]

Answer:

36

Step-by-step explanation:

Sean purchased a printer and laptop

He sold both for 1,500

He sold the laptop at 1,350

Therefore the cost of the printer can be calculated as follows

1500-1350

= 150

24/100×150

= 0.24×150

= 36

Henve the cost of the printer is £36

4 0
3 years ago
In the isosceles trapezoid, m∠S=68∘ .<br><br> What is m∠Q ?
zmey [24]

9514 1404 393

Answer:

  112°

Step-by-step explanation:

Same-side angles of a trapezoid are supplementary.

  m∠P = 180° - m∠S = 180° -68° = 112°

The angles of an isosceles trapezoid match their symmetrical counterparts.

  m∠Q = m∠P

  m∠Q = 112°

5 0
3 years ago
Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?
IceJOKER [234]

Answer:

Here the answer LOL

Step-by-step explanation:

3 0
2 years ago
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