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lukranit [14]
3 years ago
7

How would you compare two ratios given in words?

Mathematics
1 answer:
zysi [14]3 years ago
7 0
Compared? By finding the LCM of the consequents of both the ratios, divide the LCM with the consequents, and finally, multiply both the numerator and the denominator of both the ratios with the answer to find out the compared ratio
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Can someone answer this question please (picture)
erik [133]

Answer:

31.5 units^2

Step-by-step explanation:

Rectangle area (RA) = l × w

Triangle area (TA) = (bh)/2

RA = 3 × 7

RA = 21

TA = (7 × 3)/2

TA = 21/2

TA = 10.5

(Triangles are congruent as shown by the lines on each side of the triangle so I can calculate area of both of them together as I just did)

Add areas together

21 + 10.5 = 31.5

7 0
3 years ago
a person driving along the road moves rates of 56 miles per hour driven.How far does the person drive in 1.5 hours?
givi [52]
84 miles.
You just have to take half of 56 (28) and add it to 56 to get 84

8 0
3 years ago
A die is rolled. If you roll a 1, 2 or 3, you will toss 10 coins. If you roll a 4, 5 or 6, you will toss 20 coins. Let X denote
trasher [3.6K]

Answer:

a) The support of X is {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}

b) The mean of X is 7.5

c) The variance of X is 10

Step-by-step explanation:

a) Since you can toss up to 20 coins, and from that you can obtain any number of heads from 0 to 20, then the support of X {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}.

b) To compute the mean of X, we need to see how is the <em>behavior</em> of X. Since 3 dices will gives 10 coins to toss and the other 3 will give us 20, then there is a probability of 1/2 that we tossed 10 coins and a probability of 1/2 that we tossed 20.

The random variable X, conditioned to the event 'The dice is 1,2 or 3' (or equivalently, 10 coins are tossed), will have a binomial distribution with paramenters n = 10, p = 1/2. The mean of X in this case is np = 5. If X is conditioned to the event 'The dice is 4,5 or 6', then X will have also binomial distribution, but this time with paramenters n = 20, p = 1/2. The mean of X in this case is 20*1/2 = 10.

Since each event we conditioned in had probability 1/2 to occur, then E(X) = 1/2 * 5 + 1/2 * 10 = 7.5.

c) Remember that V(X) = E(X²)- E(X)². Since we alredy know the mean of X, we just need to compute the mean of X squared.

The variance of a binomial distribution Z with paramenters n and p is

V(Z) = np(1-p)

since V(Z) = E(Z²)- E(Z)² = E(Z²)- n²p², then

E(Z²) = V(Z) + E(Z)² = np(1-p) + n²p² = p²(n²-n) + np

Therefore

E(X²) = E(X² | 10 coins are tossed) * 1/2 + E(X² | 20 coins are tossed) * 1/2 =

1/2*(0.5²(10²-10) + 5) + 1/2*(0.5²(20²-20) + 10) = 13.75 + 52.5 = 66.25

As a consecuence

V(X) = 66.25 - 7.5² = 10

The variance of X is 10.

5 0
2 years ago
What is the solution of the equation? 2^5√(x + 6)^3 + 3 = 19
r-ruslan [8.4K]
For the solution I isolated the variable by dividing each side by factors that don't contain the variable.
x = -6 + ∛2 / 2
x ≈ -5.37003947

Hope this helps!! :3
(If not, sorry)
3 0
3 years ago
Estimate the sum of 299 and 388
Svetllana [295]

For this case we have the following numbers:

299

388

Let's round up each of the numbers to the nearest hundred,

We have then:

299 = 300

388 = 400

We note that now we have two numbers whose approximation is easier to add.

We have then:

300 + 400 = 700

Answer:

The sum of 299 + 388 is approximately:

700

7 0
3 years ago
Read 2 more answers
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