Answer:
y=17
Step-by-step explanation:
cant send the pic and im not sure tho
y=mx+c
m = gradient
so find gradient
and then sub in one of the coords in x and y in the eq with the m to find c
2=3(3)+c
and then sub the 8(x coords) to find y
Answer:
2B / (mx) = y
Step-by-step explanation:
B = 1/2 mxy
Multiply each side by 2
2B = 2* 1/2 mxy
2B = mxy
Divide each side by mx
2B / (mx) = mxy / (mx)
2B / (mx) = y
The cost of soda is $4.75 and the cost of hot dog is $2.5
<u>Step-by-step explanation</u>:
<u>Let us assume :</u>
- The cost of soda be 'x'.
- The cost of hot dog be 'y'.
<u>Given that,</u>
The cost of 2 sodas and 3 hot dogs are $17.
⇒ 2x + 3y = 17 ------(1)
The cost of 5 sodas and 6 hot dogs are $38.75
⇒ 5x + 6y = 38.75 -------(2)
<u>Solving the equations to find x and y values :</u>
Multiply eq(1) by 2 and subtract eq(2) from eq(1),
4x + 6y = 34
-(<u>5x + 6y = 38.75</u>)
<u>-x = -4.75 </u>
The value of x = 4.75
The cost of soda is $4.75
Substitute x=4.75 in eq(1),
2(4.75) + 3y = 17
3y = 17 - 9.5
3y = 7.5
y = 7.5/3
y = 2.5
The cost of hot dog is $2.5
Using the binomial distribution, it is found that there is a 0.03125 = 3.125% probability that all the nickels will land with heads facing up.
For each coin, there are only two possible outcomes, either it lands on heads, or it lands on tails. The landing of a coin is independent of other coins, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 5 nickels, hence .
- They are equally as likely to land on heads or tails, hence
The probability that all the nickels will land with heads facing up is P(X = 5), hence:
0.03125 = 3.125% probability that all the nickels will land with heads facing up.
A similar problem is given at brainly.com/question/24863377