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Stella [2.4K]
3 years ago
12

4) You randomly select one card from a​ 52-card deck. Find the probability of selecting the 6 of hearts or the ace of diamonds.

Mathematics
2 answers:
MakcuM [25]3 years ago
8 0

Answer:

1/26

Step-by-step explanation:

There is only one 6 of hearts and only one ace of diamonds.

The probability of selecting the 6 of hearts is thus 1/52, and that of selecting the ace of diamonds is also 1/52.

The probability of selecting the 6 of hearts or the ace of diamonds is the SUM of these two results:  1/52 + 1/52 = 2/52 = 1/26.

Bumek [7]3 years ago
6 0
1/26
I hope this can help you!!!
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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
If x is a negative number, what is always true about the solution to the problem -8 + x? explain
Fofino [41]
<h3>Answer:</h3>

-8 +x will always be negative if x is a negative number.

<h3>Explanation:</h3>

Because the sum of two negative numbers are always negative.

6 0
3 years ago
Quick 2 mins tell due 500÷30+200 decimal answer needed​
GenaCL600 [577]

500/30+200=16.\bar{6}+200=216.\bar{6}

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Ulleksa [173]

Answer:

My hero academia

Step-by-step explanation:

Black butler,attack on titan

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A 4 in. x 5 in. picture is used to make a wall banner that is 48 in. x 60 in. This is an example of a(an):
Paha777 [63]

It is given that a 4 in. x 5 in. picture is used to make a wall banner that is 48 in. x 60 in. Thus, we can see a small picture has been enlarged or expanded. Therefore, this is an expansion. Thus the complete answer will be:

A 4 in. x 5 in. picture is used to make a wall banner that is 48 in. x 60 in. This is an example of an Expansion.

Therefore, out of the given options, Option A is the correct option.

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3 years ago
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