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2 years ago

What percent of $x$ is equal to $40\%$ of $50\%$ of $x$?

Mathematics

1 answer:

Aneli [31]2 years ago

5 0

Answer:

20%

Step-by-step explanation:

step 1

Find 50% of x

we know that

50%=50/100=0.50

Multiply the number x by 0.50 to determine 50% of x

(x)(0.50)=0.50x

step 2

Find 40% of 50% of x

we know that

50% of x is equal to 0.50x (see the step 1)

40%=40/100=0.40

Multiply the number 0.50x by 0.40 to determine 40% of 0.50x

(0.50x)(0.40)=0.20x

therefore

The percent of x is equal to 0.20*100=20%

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If 2 pounds of strawberries cost $4.50 how much would 3 pounds cost?

Kipish [7]

Answer:

Step-by-step explanation:

If 2lbs costs $4.50, then most likely 1lbs would be half of what 2lbs cost.

So take $4.50÷2= $2.25

Then take the cost of 2lbs @ $4.50 then add the $2.25 (essentially the cost per pound) and 3lbs would cost $6.75.

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2 years ago

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Estimate 58% of 121 by using 10%

kvv77 [185]

58% is about equal to 60%, 10% of 121 is 12.1.
12.1 * 6 = 72.6
To take this further, 58% is 2% less than 60%, or 2 times 1%. 1% of 121 is 1.21.
72.6 - (1.21 * 2) = 72.6 - 2.42 = 70.18

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2 years ago

An certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the ra

ruslelena [56]

Answer:

$E(X)=16\cdot 0.3+18\cdot 0.1+20\cdot 0.6=18.6$

$E(X^2)=16^2\cdot 0.3+18^2\cdot 0.1+20^2\cdot 0.6=349.2$

$V(X) = E(X^2)-[E(X)]^2=349.2-(18.6)^2=3.24$

The expected price paid by the next customer to buy a freezer is $466

Step-by-step explanation:

From the information given we know the probability mass function (pmf) of random variable X.

$\left|\begin{array}{c|ccc}x&16&18&20\\p(x)&0.3&0.1&0.6\end{array}\right|$

Point a:

The Expected value or the mean value of X with set of possible values D, denoted by E(X) or μ is

$E(X) = $\sum_{x\in D} x\cdot p(x)$

Therefore

$E(X)=16\cdot 0.3+18\cdot 0.1+20\cdot 0.6=18.6$

If the random variable X has a set of possible values D and a probability mass function, then the expected value of any function h(X), denoted by E[h(X)] is computed by

$E[h(X)] = $\sum_{D} h(x)\cdot p(x)$

So $h(X) = X^2$ and

$E[h(X)] = $\sum_{D} h(x)\cdot p(x)\\E[X^2]=$\sum_{D}x^2\cdot p(x)\\ E(X^2)=16^2\cdot 0.3+18^2\cdot 0.1+20^2\cdot 0.6\\E(X^2)=349.2$

The variance of X, denoted by V(X), is

$V(X) = $\sum_{D}E[(X-\mu)^2]=E(X^2)-[E(X)]^2$

Therefore

$V(X) = E(X^2)-[E(X)]^2\\V(X)=349.2-(18.6)^2\\V(X)=3.24$

Point b:

We know that the price of a freezer having capacity X is 60X − 650, to find the expected price paid by the next customer to buy a freezer you need to:

From the rules of expected value this proposition is true:

$E(aX+b)=a\cdot E(x)+b$

We have a = 60, b = -650, and E(X) = 18.6. Therefore

The expected price paid by the next customer is

$60\cdot E(X)-650=60\cdot 18.6-650=466$

4 0

2 years ago

Mr. Trager has $600.00 to spend at a bicycle store

Snowcat [4.5K]

Answer:

Step-by-step explanation:

Total money = $600

Bicycle cost = $253.98

3 bicycle reflector = 3×$7.5 =$22.5

Bicycle helmet = $42.36

Total money spent will be equal to the = $(253.98+22.5+42.36)

= $318.84

Amount remaining = $(600-318.84)

= $281.16

The number of outfit he can get at $78.12 = $281.16/78.12 = 3.60

He can get 3 outfit and have $0.60

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Delvig [45]

What is being requested, if I'm not mistaken, is the number of permutations for placing each of the 8 beads on the vertices of the cubes;
In this case, we have 8 different beads and 8 possible locations for each of them;
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