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Mazyrski [523]
2 years ago
6

David has a stack of 30 cards, which are numbered 1 through 30. what is the exact probability of randomly selecting a card from

the stack with a number that is even or is less than 10?
Mathematics
1 answer:
lorasvet [3.4K]2 years ago
8 0

Answer:

1/3 or 1:3

Step-by-step explanation:

since there is a 10/30 chance

to simplify divide by 2

10/30 ÷ 2/2 = 5/15

then divide by 5

5/15 ÷ 5/5 = 1/3

your answer is 1/3

another simple way to simplify

since there is a zero (0) in both the ones (1s) spot on both the numerator and denominator in 10/30, you may just cross out both zeros (0s) to simplify the value

10/30 simplified/taken away 0s = 1/3

hope this helps:)

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A playground is rectangular with a length of 24 miles. If the area of the playground is 812 square miles, what is its width? Ans
soldi70 [24.7K]

Answer:

33(5/6) sq miles

Step-by-step explanation:

Area = LxW

812 = 24xW

Divide by 24

W = 33.8333333 ( 33 (5/6)

8 is non repeating

3 is repeating

For nominator subtract the non repeating    (83-8 = 75)

For  denominator :  one 9 for each non repeating,one zero for each repeating (only 3 is repeating,then one zero)

  75/90  = 5/6

3 0
3 years ago
Maria believes she will get 1 hit in 20% of her softball games, 2 hits in 25% of her games, 3 hits in 50% of her games, and 4 hi
Makovka662 [10]
I would put 2 as the answer
4 0
3 years ago
Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ
Anit [1.1K]

Double angle identity for sine:

\sin(2x) = 2 \sin(x) \cos(x)

\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)

Factorize the left side.

2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)

Pythagorean identity:

\cos^2(x) + \sin^2(x) = 1

\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)

so that

\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}

8 0
1 year ago
DOES ANYONE KNOW HOW TO DO THIS????????
castortr0y [4]

Answer:

1. figure 4

2. Figure 1

3. Figure 3

Step-by-step explanation:

1. r is the degree of the line or group of dots that makes a line. for r=1, the line is going to be as close to a linear line as possible. the dots will be close together a make either a close or perfect straight line. This is why we pick figure 4, because the points are decently close together and form a positive slope.

2. a linear relationship can be tested by a straight line test, and in this case you pick the figure that fails the test the most. in this case, Figure 1 fits.

3.  looking for r=-1 is looking for the opposite of r=1, so since figure 3 is the opposite of figure 4, we know it fits the description

4 0
3 years ago
Matt wants to buy a television. If he
VladimirAG [237]

Answer:

The cost of the television is \$294

Step-by-step explanation:

Let

x -----> the cost of the television in dollars

we know that

The cost of the television represent 100%

<em>If Matt  pays cash</em>

then

100\%-7\%=93\%=93/100=0.93

so

The cost is 0.93x

<em>If Matt pays with a loan</em>

then

100\%+10\%=110\%=110/100=1.1

so

The cost is 1.1x

The difference  between the two methods is

1.1x-0.93x=0.17x

Remember that

The difference  between the two methods is $49.98

so

0.17x=49.98

Solve for x

x=\$294

7 0
2 years ago
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