The amount of money raised by the 10th graders at the bake sale using the expression 0.75•c + 0.5•p, selling 60 cupcakes and 75 cake pops is $82.5
<h3>Which method can be used to calculate the sales of the 10th graders?</h3>
The expression for the amount of money raised is <em>M </em>= 0.75•c + 0.5•p
From a similar question posted online, the amount of money raised where for example 60 cupcakes and 75 cake pops are sold is required.
Based on the equation, the selling prices are;
Cupcakes, <em>c</em> = 75¢
Cake pops, <em>p</em> = 50¢
The amount of money raised is therefore;
M = 0.75 × 60 + 0.5 × 75 = 82.5
Therefore;
- The amount of money raised is <em>M </em>= $82.5
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Answer:
x=5 and y=7
Step-by-step explanation:
Just substitute in y=x+2 into the equation 5x-4y=-3 to get 5x-4(x+2)=-3 which simplifies to x=5. Substitute x into y=x+2 to find y=7
Answer:
4
Step-by-step explanation:
Each bar represents a range in area. The first bar represents the number of houses with an area of more than 50 but less than 100. It's height is 4, so there are 4 of those houses.
Answer:
This is a many-to-one function as the value of y = -1 corresponds to two values of x:
Step-by-step explanation:
<u>Function</u>
A special relationship where each input (x-value) has a single output (y-value).
A function is <u>one-to-one</u> if each value in the range (y-values) corresponds to exactly one value in the domain (x-values).
A function is <u>many-to-one</u> if some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).
This is a many-to-one function as the value of y = -1 corresponds to two values of x:
This is not a function as the value of x = -5 corresponds to two values of y:
This is not a function as the value of x = -2 corresponds to two values of y:
This is not a function as the value of x = -4 corresponds to two values of y:
Answer:
He wont foul out with probability 0.9093
Step-by-step explanation:
The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.
Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus
As a consecuence, he wont foul out with probability 0.9093.