A rectangular prism is a three-dimensional geometric figure, hollow or solid, contained by six rectangular sides that meet at ri
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Given, Jason had an amount of $d in the piggy bank.
After one week, Jason doubled the amount in the piggy bank.
So, after one week the amount in the piggy bank = $ = $(2d)
Another week later, Jason added $20 in the piggy bank.
So after another week, the total amount in the piggy bank = $
Given, that time the piggy bank had $50 in it.
So we can write the equation as,
To find the value of d, we will move 20 to the right side by subtracting it from both sides. We will get,
Now to find d, we will move 2 to the right side by dividing it to both sides. We will get,
We have got the required answer.
The value of d = $15.
Try this explanation:
this is quadratic function (parabola, common view of equation is y=ax²+bx+c).
Domain: The function exists in all the points. It means, that x∈R or x∈(-oo;+oo).
Range: according to the common view a>0, it means, that parabola has 'min' in its vertice (x₀=-1). Range is y∈[4;+oo) or y≥4.
this is quadratic function (parabola, common view of equation is y=ax²+bx+c).
Domain: The function exists in all the points. It means, that x∈R or x∈(-oo;+oo).
Range: according to the common view a>0, it means, that parabola has 'min' in its vertice (x₀=-1). Range is y∈[4;+oo) or y≥4.
Answer:
The minimum score required for an A grade is 89.8.
Step-by-step explanation:
We are given that a psychology professor assigns letter grades on a test according to the following scheme. A : Top 7% of scores. B : Scores below the top 7% and above the bottom 64%. C : Scores below the top 36% and above the bottom 25%. D : Scores below the top 75% and above the bottom 6%. F : Bottom 6% of scores.
Scores on the test are normally distributed with a mean of 78.4 and a standard deviation of 7.6.
<u><em>Let X = Scores on the test</em></u>
SO, X ~ Normal()
The z-score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = mean time = 78.4
= standard deviation = 7.6
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Now, the minimum score required for an A grade so that it represents Top 7% of scores is given by;
P(X x) = 0.07 {where x is the required minimum score
P(
) = 0.07
P(Z
) = 0.07
<em>So, the critical value of x in the z table which represents the top 7% of the area is given as 1.4996, that is;</em>
= 78.4 + 11.39696 = <u>89.8 or 90</u>
Hence, the minimum score required for an A grade is 89.8.