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3 years ago

13

There are 7 red cards and 13 blue cards in a deck of cards. If Chayse randomly selects a card from the deck, what is the probabi

lity that it is a red card?

1 answer:

True [87]3 years ago

8 0

Answer:

35%

Step-by-step explanation:

There is a 7 in 20 chance of the card being red

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Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the sample size n =12 -volt car batteries</em>

<em>Let 'X' be a Random variable in a normal distribution</em>

<em>Given that mean of the normal distribution = 45 months</em>

<em>Given that the Standard deviation of the normal distribution = 8months</em>

<u><em>Step(ii):-</em></u>

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

<u><em>Step(iii)</em></u>:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

<u><em>Final answer:-</em></u>

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

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5 0

3 years ago

Determine the slope from the given graph below:

Greeley [361]

Step-by-step explanation:

the slope is the ratio of "y coordinate difference / x coordinate difference".

so, let's find 2 good points (I mean by that with integer coordinates). I see e.g.

(-1, -1) and (0, -7)

x changes by +1 (from -1 to 0).

y changes by -6 (from -1 to -7).

so, the slope is -6/1 = -6.

D is the right answer.

8 0

3 years ago

The mass of a pencil is 5.44 g. The mass of a crayon is 2.13 g.

amm1812

It's asking what the size of the pencil is in terms of the crayon...

5.44/2.13=2.55388061

The pencil is 2.6 times larger

7 0

3 years ago

Solve the system using substitution and describe your steps. <br> x=y-3 <br> 2x+y=12

Misha Larkins [42]

X = y - 3 (equation 1)
2x + y = 12 (equation 2)

Substitute equation 1 into equation 2, replacing every x value with equation 1

2(y - 3) + y = 12

Now, distribute the 2 inside the brackets and simplify.
2y - 6 + y = 12
3y = 18
y = 6 (divided both sides by 3)

Substitute y back into equation 1 to find x.
x = 6 - 3
x = 3

Verify that these are correct by substituting them into equation 2.
2(3) + 6 = 6 + 6 = 12

Therefore, x = 3 and y = 6

6 0

3 years ago

Read 2 more answers

How do you find the volume, in cubic inches of a prism?

Margaret [11]

Answer: V= Area of the base x the height

Step-by-step explanation:

Assuming the measurements of the sides are already in inches, say the area of the base ends up being 14in and the height of the prism is 5in, multiply those numbers and your answer would be 70 inches cubed.

5 0

3 years ago