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3 years ago

write an equation to represent the shaded area of a rectangle. then find the value of x. 9cm 16cm total area=198cm^2

Mathematics

1 answer:

statuscvo [17]3 years ago

4 0

is there supposed to be a picture? maybe i will be able to help u then

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Estimate the area under the graph of f(x) = 2 cos(x) from x = 0 to x = π/2 using four approximating rectangles and right and lef

I am Lyosha [343]

So hmm notice the picture below

you're simply being asked to, approximate the area, by using 4 rectangles, like in the graph, it doesn't have to be an exact value, just an approximation, based on the width and height of the rectangles, and getting their area by that

those rectangles are 0.39 radian long, since if you split π/2 in 4 pieces, you get around that much, the last rectangle there is a bit smaller than 0.39.... but they don't have to be 4 rectangles of equal length

so, get the area of the rectangles, based on their width and height, and sum them up

7 0

3 years ago

Andre rode his bike at a constant speed. He rode 1 mile in 5 minutes. Which of these equations represents the amount of time t (

Alex

Answer:

.20 per minute.If you dives 1 mile by 5 min u will get .20

4 0

3 years ago

Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.49 on an exam. (a) Write a sentenc

Oduvanchick [21]

Answer:

a) A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.

b) 1.39% of the class scored lower than your friend.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

You got a score of 2.49 on an exam.

(a) Write a sentence explaining what that means

A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.

(b) Your friend got a z-score of negative 2−2. If the grades satisfy the Nearly Normal Condition, about what percent of the class scored lower than your friend? 

This percentage is the pvalue of $Z = -2.2$

So 0.0139 = 1.39% of the class scored lower than your friend.

7 0

3 years ago

Which of the following could be the equation of the function below?

rodikova [14]

Answer:

y = 0.5 cosine (4 (x - pi/2)) - 2

Step-by-step explanation:

Taking the general form:

y = A cosine (Bx - Cπ)) + D

In the following case. the constants are:

y = 0.5 cosine (4x - 2π)) - 2

A: 0.5

B: 4

C: 2π

D: -2

The range of this function is:

range = [-|A|+D, |A|+D]

range = [-0.5-2, 0.5-2]

range = [-2.5, -1.5]

Which coincides with "It has a maximum at negative 1.5 and a minimum at negative 2.5"

At x = 0, the function value is:

y = 0.5 cosine (4(0) - 2π)) - 2

y = 0.5 - 2 = -1.5

As indicated in "a curve crosses the y-axis at y = negative 1.5"

The period of the function is:

period: 2π/B

period = 2π/4 = π/2 or 2 cycles at π

as described in "It goes through 2 cycles at pi."

8 0

3 years ago

Read 2 more answers

Simplify the expression below. A. 83 B. 812 C. 84 D. 88

IRINA_888 [86]

Answer:

there is no expression

Step-by-step explanation:

8 0

3 years ago