13. There are 3 feet in a yard. You divide 34 by 3 and get 11 with one left over. So it should be 11 yards and 1 foot.
14. 16 oz. = 1 lb. If you multiply 16 (oz) x 8 (lbs.) you get 128 ounces.
Answer:
a.) .95
b.) The expected number of baskets is 10.50.
c.) 1.7748
Step-by-step explanation:
a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.
b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.
c.) The standard deviation of a binomial distribution can be calculated by the formula
. Plugging in the numbers you get
=1.7748.
To solve this equation (correct me if i'm wrong), you could first multiply the bottom equation by 3, to get 15y. After that, we get -4x-15y=-17 and -3x + 15y=-39, and if we add the 2 equations up, on top of each other, we get -7x=-56, and we can conclude that x=8, and with substitution (-32 - 15y = -17), we know that y=(-1)
Here's what I mean by on-top
-4x-15y=-17
-3x + 15y=-39
-7x=-56
Answer:
$13.75 , $11.25
Step-by-step explanation:
If they took off 45% of the original price, that means you gotta subtract
$25 - 45% = 13.75
to find the amount of the discount, subtract 13.75 from 25
$25-$13.75 = $11.25
Answer:
c)-5(3x+2y)(3x-2y)
Step-by-step explanation:
1) lets find out if -45 and 20 have a GCF
-45 and 20 are both dividable by -5 so
-5(9x^2-4y^2)
1) you can see that 9 and -4 are perfect square so:
-5(3x+2y)(3x-2y)
Recheck:
1) lets use FOIL to see if this is right(if its right we will get back our original equation)
-5(9x^2-6xy+6xy-4y^2)
-5(9x^2-4y^2)
-45x^2+20y^2
hope this helps!