<u>ANSWER:
</u>
Zach has 28 dimes and 7 quarters.
<u>SOLUTION:
</u>
Given, Zach has 4 times as many dimes as quarters
And they have a combined value of 455 cents,
We need to find how many of each coins does he have?
Let, the number of dimes be x and number of quarters be y.
Then, x = 4y → (1)
Total combined value = 455 cents
x(value of one dime) + y(value of one quarter) = 455 cents
x(10 cents) + x(25 cents) = 455 cents
10x + 25y = 455 → (2)
Now, substitute (1) in (2)
10(4y) + 25y = 455
40x + 25y = 455
65y = 455
y = 7
substitute y value in (1)
x = 4(7) = 28
Hence, zach has 28 dimes and 7 quarters.
Answer:
The surface area would be 471.
Answer:
17/20
Step-by-step explanation:
Probability is actually very fun once you understand it. So, you know that the bag contains 20 marbles. You also know that only 3 of those 20 are yellow. Subtract 3 from 20 and you get 17, which is your answer. Hope this helped, and let me know if you need any more help!
1 foot = 12 inches (you're supposed to know this)
so
2 feet = 24 inches
and
3 feet = 36 inches .
Answer:
a) 0.0568
Step-by-step explanation:
Let's define the random variable X.
X : ''Number of adults concerned that employers are monitoring phone calls''
X ~ Bi (n,p)
Where n is the sample size and p is the success probability.
n is equal to 6 in this exercise and p = 0.38
We are going to call ''a success'' to an adult concerned that employers are monitoring phone calls.
The probability function for X is
Where nCx is the combinatorial number define as
For a) we are looking for 
There is a probability of 0.0568 that out of six adults, none is concerned that employers are monitoring phone calls.
