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IgorC [24]
4 years ago
10

A box contains 10 tags, numbered 1 through 10, with a different number on each tag. A second box contains 8 tags, numbered 20 th

rough 27, with a different number on each tag. One tag is drawn at random from each box. What is the expected value of the sum of the numbers on the two selected tags(A) 13.5(B) 14.5(C) 15.0(D) 27.0(E) 29.0
Mathematics
1 answer:
blagie [28]4 years ago
3 0

Answer:

E) 29.0

Step-by-step explanation:

The value of the sum is obtained from 2 independent experiments: the value of the number of the first box X₁ and the value of the number of the second box X₂.

The expected value of a draw is the average of all its values, so E(X₁) = (1+2+3+4+5+6+7+8+9+10)/10 = 5.5 and E(X₂) = (20+21+22+23+24+25+26+27)/8 = 23.5

Hence, E(X₁+X₂) = E(X₁)+E(X₂) = 5.5+23.5=29

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Matty jogs 1 km in 5 minutes. Compute Matty's speed in m/s. A) 3.3 m/s B) 16.7 m/s C) 33.3 m/s D) 200.0 m/s
aleksandrvk [35]
A) 3.3 m/s

1 km/ 5 minutes
=1000 m/ 5(60) s
= 1000 m/ 300s
=10/3 s
=3.3 m/s


7 0
4 years ago
Read 2 more answers
The final price of a pair of socks is $6.40. It is on sale for 20% off. What is
Tresset [83]

Answer: original price= $8

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 8 × 20/100

Discount = 8 x 0.2

You save = $1.60

Final Price = Original Price - Discount

Final Price = 8 - 1.6

Final Price = $6.40

3 0
2 years ago
Which function is a horizontal compression of its parent function f(x)=x^7 by a factor of 4?
nasty-shy [4]
Note that what we want is to compress any point (a, b) in the parent function, to (a, b/4).

(a, b) is a point of the graph of the function f(x)=x^7, thus we can rewrite the point as:
                                     (a, a^7).

This point is compressed to 

                                   \displaystyle{ (a,  \frac{a^7}{4} ).

This means that the function we are looking for is \displaystyle{ t(x)= \frac{x^7}{4}.

Answer: <span>t(x)=1/4x^7
</span>
6 0
3 years ago
Read 2 more answers
The population of a certain animal species you are studying decreases at a rate of 3.5% per year. Only 80 of the animals in the
balu736 [363]
The function:
f ( x ) = x * 0.965^t
where x is the initial amount and t is the number of the years
80 = x * 0.965^3
80 = x  *  0.89632
x = 80 : 0.89632 ≈ 89
Answer:
The initial amount of animals was 89.
3 0
4 years ago
Dwain is out shopping and finds a $110.00 scooter that is
Vsevolod [243]

Answer:

$55

Step-by-step explanation:

1) since we are taking 50% of the price of lets find 50% of 110

so 0.50*110=55

50% of 110 is 55 hence we can subtract 55 from 110(since its getting marked down)

110-55=55

$55 is the new price

Hope this helps!

8 0
3 years ago
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