Answer:
62
Step-by-step explanation:
2y-5 and 95 are vertical angles so they are equal



3x and 144 form a linear pair angle so



x=12 and y=50 so

Answer: Darla would have to pay $17.69 before tax
Step-by-step explanation:
Total amount in Darla's wallet = $15
She intends buying 2 gallons of fruit, 3 bags of chips and a box of cupcakes.
For the gallon of fruit
The first gallon of fruit cost $3.50
The second gallon of fruit has a discount of 50%. We have
(50/100) * 3.50
= $1.75
Therefore, the total amount for the two gallons of fruit =$3.50 + $1.75
= $5.25
Bag of chips
2 bags of chips cost $5 while 1 bag of chips cost $2.65
Since she intends to buy 3 bags of chips we have $5 + $2.65 = $7.65
1 box of cupcakes = $4.79
The total amount Darla is to pay for the groceries before tax equals
$5.25 + $7.65 + $4.79
= $17.69
This is more than the amount Darla has in her wallet
Answer:
17%
Step-by-step explanation:
3/17.95 = 0.167
0.167 × 100 = 16.7 *rounding to 17
12.95 × 0.17 = 3.0515
In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.
So, in your case, we have

In order to find XY, we have

So, the ratio for the sine is

Answer:
0.3898 = 38.98% probability that there will be 4 failures
Step-by-step explanation:
A sequence of Bernoulli trials forms the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Let the probability of success on a Bernoulli trial be 0.26.
This means that 
a. In five Bernoulli trials, what is the probability that there will be 4 failures?
Five trials means that 
4 failures, so 1 success, and we have to find P(X = 1).
0.3898 = 38.98% probability that there will be 4 failures