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Wewaii [24]
2 years ago
8

A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back i

n the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a diamond?.
Mathematics
1 answer:
cupoosta [38]2 years ago
5 0

The relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.

<h3>What is relative frequency?</h3>

The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.

Given information-

The card is selected random from the deck of cards.

Total number of trails is 40.

It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.

As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,

f_r=\dfrac{11}{40}\\f_r=0.3

In the percentage from,

f_r={0.3}\times100\\f_r=30

Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.

Learn more about the relative frequency here;

brainly.com/question/26177128

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Find the value of x.<br> (3x + 10)<br> 98°
Aleks04 [339]

Answer:

-3

Step-by-step explanation:

(3x + 10)98°

294x+980

294x=-980

X=-980/294

X=-3

So the value of X is -3

5 0
3 years ago
Write a function rule for the table.
Pavlova-9 [17]
The correct answer is:  [C]:  " p = 6.25 h " .
______________________________________________________
Explanation:  
______________________________________________________

It is clear that "pay" is a function of "hours worked" ; 

So, we can eliminate:  "Choice [B]:  " h = <span>6.25p" .
______________________________________________________
Try, Choice [A]:  " </span>p = h + 12.5 " ; and 14.50 ≠ 12.50 ; (12.50 is the amount shown in the table.  So, we can already eliminate "Choice [A]".
<span>_____________________________________________
Now that we have eliminated choices [A] and [B]; 

we are left with choices:  [C] and [D]:
_____________________________________________
Consider choice [C]:  " </span><span>p = 6.25h " ;  
</span>   when "h = 2" ; does: "p = 12.5" (as shown on table)?? ; 

i.e. " 12.5 =? 6.25 * (2) ?? Yes!  This choice is a POSSIBILITY.
_____________________________________________
Consider choice [D]:  " p = 12.5h" .

When "h = 2, does "p = 12.5" (as shown on table)?  No!  
   → We can see from this very answer choice
        (the equation itself) that when "h = 2" ;
the value of "p" is DOUBLE [that of "12.5"].
 ________________________________________________
The correct answer is:  Answer choice:  [C]:   " <span>p = 6.25 h " .
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6 0
3 years ago
Read 2 more answers
1<br> Which sequence of transformations takes AA to its image, AB ?
lianna [129]

A rigid transformation preserves the dimensions of the image

The option that gives the sequence of transformation that takes ΔB to ΔB is  the option B.

<u>(B) Reflection across y-axis and a translation 2 units down </u>

Reason:

Question: The sequence of transformation that takes ΔA to image ΔB

<em>From a similar question, we have, ;</em>

<em>The vertices of triangle ΔA are; (-8, 9), (-9, 4), (-3, 4)</em>

<em>The vertices of triangle ΔB are; (8, 7), (3, 2), (9, 2)</em>

<em>The options are; </em>

<em>(A) Reflection over the x-axis and 2 units translation down</em>

<em>(B) Reflection over the y-axis and 2 units translation down</em>

<em>(C) 90° rotation after a translation of 2 units down</em>

<em>(D) 90° rotation after a translation of 12units right</em>

Solution;

The length of the base of ΔA = -3 - (-9) = 6

The length of the base of ΔB = 9 - 3 = 6

Therefore, the length s of triangle A and triangle B are equal

The orientation of the base of ΔA and ΔB are both horizontal

The location of the the side that traverses four cells are both furthest from the y-axis, or the vertical

Therefore, ΔB is a reflection of ΔA across the y-axis

We also have;

The base of ΔB is 2 units lower than the base ΔA

Therefore, the correct option is option B, reflection across y-axis and a translation 2 units down

Learn more here;

brainly.com/question/23461633

7 0
3 years ago
A line with a slope of -4 passes through the point (0, 0). What is its equation in
Dahasolnce [82]

Answer: y = -4x

Step-by-step explanation: You would use the formula y = mx + b to solve your problem. When you plug the numbers in, you get y = -4x. There would be no "+ b" because in this case, the y-intercept (b) is equal to zero. Therefore, you would not need to write "y = -4x + 0" because that would not be the equation in its simplest form.

4 0
3 years ago
1. Evaluate -3x^3 -2y^2 when x=-5 and y =3
-Dominant- [34]

Answer:

357

Step-by-step explanation:

A) We replace x = - 5 and u = 3 into -3x^3 -2y^2

and we have -3x^3 -2y^2= -3*(-5)^3 -2*3^2= -3*(-125)- 2*9

or -3x^3 -2y^2 = 375-18= 357

The answer is 357.

B) Replace h = -2 into h^2-3h+2

we have h^2-3h+2 = (-2)^2 -3*(-2) +2 = 4 +6 + 2= 12

The answer is 12

Have a good day.

8 0
3 years ago
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