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RUDIKE [14]
3 years ago
10

A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a black card given that it is an

ace.
Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0

probability of getting black card an ace =2/52=1/26

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The product of 5 more than a number, and 4
Lyrx [107]

Answer:

x + 5 * 4


In this problem we have to transfer the expression from verbal to mathematical language. Which would be:

x + 5 * 4

"x" represents "a number"

"5 more than a number" is represented by "x + 5"

"the product of" is indicating a multiplication, which is represented by "*"



Hope it helped,


BioTeacher101

3 0
3 years ago
Read 2 more answers
In circle o,find the value of x, rounded to the nearest tenth.
Gemiola [76]

Answer:

\huge\boxed{x \approx 5.4}

Step-by-step explanation:

We can break down this problem by first realizing different parts of the circle.

  • The line which is 8 units long is a chord of the circle.
  • The line that is 3.6 is <em>almost</em> the radius of the circle
  • The line that x sits on is the radius.

With this, we can find out if we find the radius of the circle, we have our answer.

We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.

<em>What we need is a way to find the radius of the circle</em><em>. This will get us x</em>. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.

If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).

We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:

  • \displaystyle a^2 + b^2 = c^2

Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!

  • 3.6^2 + 4^2 = c^2
  • 12.96+16=c^2
  • 28.96=c^2
  • \sqrt{28.96} = c
  • 5.4 \approx c

Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.

The line X does just that. Therefore, the value of x is also 5.4.

Hope this helped!

4 0
2 years ago
A survey of 9th and 10th graders was conducted to see which type of pet they
Studentka2010 [4]

Answer:

D 9/26

Step-by-step explanation:

Out of the 10th graders there are 104 total responses.  Knowing we only need data from 10th graders we can ignore everything else.  36/104 10th graders like cats and if you divide that by 4 you'll get the only possible answer of 9/26.  D 9/26 10th graders like cats.

6 0
3 years ago
Read 2 more answers
2 over 3 divided by 5
Yuliya22 [10]
2/3 divide by 5 is 2/15

Remember keep change flip

2/3 times 1/5 is 2/15

Hope this helps!
6 0
3 years ago
An observational study is described. Determine the given element. An educational researcher used school records to determine tha
Lelu [443]

Answer:

Step-by-step explanation:

The parameter of interest summarizes the population of interest as a whole. It also gives the value that summarizes the entire population

In this case study the parameter of interest is all children in both two parents and single parent homes living in school districts.

5 0
3 years ago
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