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Semenov [28]
3 years ago
11

Two cards are selected from a deck of cards numbered from 1 to 10. Once a card is selected, it is not replaced. What is P(two ev

en numbers)? Write the answer as a fraction in simplest form.
Include Explanation please
Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0

10 cards would have 5 even cards.

First pick would be 5/10 = 1/2 probability of getting an even card.

Without replacing there are 9 cards left with 4 even ones. The probability of picking an even card would be 4/9

The probability of both happening would be Found by multiplying the two probability’s together:

1/2 x 4/9 = 4/18 = 2/9

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Newborn males have weights with a mean of 3272.8 g and a standard deviation of 660.2 g. Newborn females have weights with a mean
Maksim231197 [3]

The correct option is:   a female who weighs 1500 g

<em><u>Explanation</u></em>

<u>Formula for finding the z-score</u> is:  z= \frac{X-\mu}{\sigma}

Newborn males have weights with a mean(\mu) of 3272.8 g and a standard deviation(\sigma) of 660.2 g.

So, the z-score for the newborn male who weighs 1500 g will be.......

z(X=1500)=\frac{1500-3272.8}{660.2}=-2.685... \approx -2.69

According to the normal distribution table,  P(z=-2.69)=0.0036 = 0.36\%

Now, newborn females have weights with a mean(\mu) of 3037.1 g and a standard deviation(\sigma) of 706.3 g.


So, the z-score for the newborn female who weighs 1500 g will be.......

z(X=1500)=\frac{1500-3037.1}{706.3}=-2.176... \approx -2.18

According to the normal distribution table,  P(z=-2.18)=0.0146 = 1.46\%

As we can see that the <u>probability that a newborn female has weight of 1500 g is greater than newborn male</u>,  so a newborn female has the weight of 1500 g that is more extreme relative to the group from which he came.

5 0
3 years ago
Farmer Brown is prepping his circular garden for the new spring/summer season of vegetables. The garden has to be larger than 25
d1i1m1o1n [39]

Answer:

The area is 78.5, the farmer does have enough space to plant his vegetables

Step-by-step explanation:

To find the area, you need to use the formula, A=πr², (make sure the diameter is turned into the radius by dividing by 2, in this case, it's 5 as the radius)

Plug in your numbers, A= 3.14(5)²

                                    A= 3.14(25)

The area is 78.5

So the farmer does have enough space to plant his vegetables since 78.5 is greater than 25

7 0
3 years ago
Circle an expression and the variable you would substitute if for in each system y=2x <br>x+3y=14 ​
Len [333]

X=2

Y=4

Multiply top so y values cancel out, so multiple top by -3. Y values cancel out. You combine top and bottom equations, x=2. Plug 2 in first equation for x. Y=4

7 0
3 years ago
Please help ASAP! i will mark brainliest
Kitty [74]

Use two pints on the graph to find the slope:

(0,0) and (5,1)

Slope = Change in Y over the change in x.

Slope = (1-0) / (5-0) = 1/5 = 0.20

The slope of the given equation is 0.25 which is greater than 0.20.

The unit rate is greater in the equation.

8 0
3 years ago
A student always spends Thanksgiving with their family, who lives 99 miles away from their home in Houston. If it took them 9 ho
Harman [31]
The average speed for the trip is 11 miles per hour, or mph. 99 miles divided by 9 is 11
6 0
3 years ago
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