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MAVERICK [17]
3 years ago
13

In History, you earned an exam score of X-85 where the exam average was μ-65 with a standard deviation of σ-5. In Biology, you e

arned an exam score of X-90 where the exam average was μ י 85 with a standard deviation of σ-10. In which class did you score better compared to your classmates?
A. Biology
B. No answer text provided.
C. You did equally well in both classes.
D. History
Mathematics
1 answer:
topjm [15]3 years ago
4 0

Answer: D. History

Step-by-step explanation:

To answer this question, we need to use the z-score formula written below:

\frac{x-pop. mean}{stan. devi.}

Now we'll just plug in the numbers and solve.

History:

\frac{85-65}{5}  = 4

Biology:

\frac{90-85}{10} =0.5

As we can see, history wields a higher z-score than biology, thus leaving us with option D. History

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3 years ago
express the limit as a definite integral on the given interval. lim n → [infinity] n ∑ i = 1 cos x i x i δ x , [ 2 π , 4 π ]
Lemur [1.5K]

The limit as a definite integral on the interval $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π , 4π] is $\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$.

<h3>What is meant by definite integral?</h3>

A definite integral uses infinitesimal slivers or stripes of the region to calculate the area beneath a function. Integrals can be used to represent a region's (signed) area, the cumulative value of a function changing over time, or the amount of a substance given its density.

Definite integral, a term used in mathematics. is the region in the xy plane defined by the graph of f, the x-axis, and the lines x = a and x = b, where the area above the x-axis adds to the total and the area below the x-axis subtracts from the total.

If an antiderivative F exists for the interval [a, b], the definite integral of the function is the difference of the values at points a and b. The definite integral of any function can also be expressed as the limit of a sum.

Let the equation be

$\int_a^b f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^n f\left(x_i\right) \Delta x$

substitute the values in the above equation, we get

= $\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$ on [2π, 4π],

simplifying the above equation

$\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$

To learn more about definite integral refer to:

brainly.com/question/24353968

#SPJ4

8 0
1 year ago
In a circuit electrons flow in one direction.
dexar [7]

Answer:

true

Step-by-step explanation:

let me know if this is right

4 0
3 years ago
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A triangle has side lengths of 39, 80, and<br> 87. Is this triangle a right triangle?
iren2701 [21]

Answer:

Step-by-step explanation:

39²=1521

80²=6400

39²+80²=1521+6400=7921

87²=7569

7921≠7569

so it is not aright angled triangle.

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2 years ago
Read 2 more answers
2+266666662724683745946198753278313=
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