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Anna007 [38]
3 years ago
9

Jeff as a collection of hockey cards. His brother Steve had 10 more cards than Jeff. Steve gave Jeff all of his cards. Jeff ende

d up with 992 cards. How many cards did Jeff start with?
Mathematics
1 answer:
lesya [120]3 years ago
6 0

Answer: 491 cards

Step-by-step explanation:

Given

Steve had 10 more cards than Jeff

Suppose Jeff has x cards

So, steve has x+10 cards

Steve handover his cards to Jeff

Now, Jeff has x+x+10=2x+10 cards

It must be equal to 992

\Rightarrow 2x+10=992\\\Rightarrow 2x=982\\\Rightarrow x=491\ \text{cards}

Jeff started with 491 cards

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How do you convert 17 cmon minute to miles an hour
eimsori [14]

Answer:

0.006 miles per hour

Step-by-step explanation:

We are given;

Speed in cm per minute ( 17 cm per min)

We are required to convert cm per minute to miles an hour

we need to know that;

1 miles = 160934 cm

1 hour = 60 minutes

We can convert 17 cm to miles and 1 minute to hours

17 cm = 17 ÷ 160934 cm

          = 17/160934

1 minute = 1/60 hour

Therefore;

In miles per hour;

  = (17/160934) ÷ (1/60)

  = 0.00634 miles per hour

  = 0.006 miles per hour

Therefore, 17 cm per minute is equivalent to 0.006 miles per hour

4 0
3 years ago
Which inequality is represented by the graph?
Svetlanka [38]
C I think not sure I think tho.
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3 years ago
Using the 5 step method
Talja [164]

Answer: the first integer is -6 and the second integer is -4

Step-by-step explanation:

3 0
3 years ago
Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two
Tom [10]

Answer:

E (X) = 1.8

Var (X) = 0.36

σ = 0.6

Step-by-step explanation:

Solution:-

- Denote the random variable X : is the number of red marbles that Suzan has in her hand after she selects three marbles.

- Total sample space (bag) have the following quantity of colored marbles:

                Bag : { 3 Red , 2 Green }

- Suzan selects three marbles from the bag. The Event (X) defines the number of red marbles out of 3.

- The total number of outcomes / selections for randomly selecting 3 balls from the bag:

               All outcomes = 5 C 3 = 10

- The probability distribution of the random variable X, we will use combinations to determine the required probabilities:

  X = 1 red marble:

        P ( X = 1 ) : Suzan chooses 1 Red marble from the available 3 red marble and 2 green marbles.

        P ( X = 1 ) = [ 3C1*2C2 ] / all outcomes = (3*1) / 10 = 0.3

X = 2 red marble:

        P ( X = 2 ) : Suzan chooses 2 Red marble from the available 3 red marble and 1 green marbles.

        P ( X = 2 ) = [ 3C2*2C1 ] / all outcomes = (3*2) / 10 = 0.6

X = 3 red marble:

        P ( X = 3 ) : Suzan chooses 3 Red marble from the available 3 red marble.

        P ( X = 3 ) = [ 3C3] / all outcomes = (1) / 10 = 0.1

- The probability distribution is as follows:

          X :         1                 2                3

       P (X):       0.3            0.6              0.1

- The expected value E(X) for the given random variable X is:

                E ( X ) = ∑Xi*P(Xi)

                           = 1*0.3 + 2*0.6 + 3*0.1

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- The variance Var(X) for the given random variable X is:

                Var ( X ) = ∑Xi^2*P(Xi) - [ E(X) ] ^2

                               = 1^2*0.3 + 2^2*0.6 + 3^2*0.1 - 1.8^2

                               = 0.36

- The standard deviation for the given random variable X is:

                σ = √Var(X)

                σ = √0.36

                σ = 0.6

5 0
3 years ago
Which equation has no solution?
EastWind [94]

Answer:  It should be the third one

Step-by-step explanation:

7 0
2 years ago
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