Answer: 17/52
Step-by-step explanation:
There are 52 total cards in a standard deck.
The number of diamonds in a deck of cards is 13 and there are 4 jacks in a deck of cards.
So the propabibilty of Pat picking a diamond is 13/52 and the probability of Pat picking a jack is 4/52. Now you have to add the two probabilities together.
You do not remove any digits because Pat put the card back into the deck, he didn't take it away. So we do not take away from the total
13 + 4 = 17
You do not need to change the denominator cause 52 is the same.
So 17/52 is the probability of Pat picking a diamond or a jack
I hope this helped!
Answer:
A.The scale factor is 0.25 ⇒ <u>True</u>
B.The scale factor is 4 ⇒ <u>False</u>
Step-by-step explanation:
<u>See the attached figure.</u>
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
A dilation that creates a smaller image is called a reduction.
As Shown, two right triangles, The first triangle is dilated to form the second triangle.
We can deduce that the second image is a smaller than the first triangle.
The hypotenuse of the first triangle = 4.4
The hypotenuse of the second triangle = 1.1
So, the scale factor = 1.1/4.4 = 11/44 = 1/4 = 0.25
<u>We will check the options:</u>
A.The scale factor is 0.25 ⇒ True
B.The scale factor is 4 ⇒ False
Answer:
A- $55k
Step-by-step explanation:
common sense if there was in increase by only 8% that the only logial answer that would be the A- : $4444 when you multiply 8% of 55,555
Principal = $15000
Amount = $16099.44
Rat of interest = r
Time = 2 years
Then
A = P(1 + r)^t
16099.44 = 15000 (1 + r)^2
(1 + r)^2 = 1.073
(1 + r)^2 = (1.036)^2
Then
1 + r = 1.036
r = 1.036 - 1
= 0.036
= 0.036/100
= 3.6%
From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the second option.
Answer:m=d/V
Step-by-step explanation:
To solve for m, you must divide V from each side. Leaving you with m=d/V. Hope this helped:)
