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maks197457 [2]
3 years ago
9

Find the area of the shaded region of the graph

Mathematics
1 answer:
AURORKA [14]3 years ago
8 0

Answer:

9 units²

Step-by-step explanation:

A differential of area is ...

dA = ((2y -y²) -(y² -4y))·dy = (-2y² +6y)·dy

The indefinite integral of this will be ...

a = -2/3y³ +6/2y²

Then the definite integral over the limits [0, 3] will be ...

(-2/3·3³ +3·3²) - 0 = 9 . . . . square units

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A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the
Anni [7]

Answer:

8.68,13.16

Step-by-step explanation:

Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.

Mean of the sample is,

\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92

Standard deviation of the sample is,

\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6

The confidence interval will be,

=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}

Here,

Z for 95% confidence interval is 1.96, and n is sample size which is 24.

Putting the values,

=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}

=10.92 \pm 2.24

=8.68,13.16

Confidence interval is used to express the degree of uncertainty associated with a sample.

95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.

5 0
3 years ago
There is 1/4 ounce of yeast in every 2 1/4 teaspoon of yeast. A recipe calls for 2 teaspoons of yeast. How many ounces of yeast
MrRissso [65]
1/4 ounce of yeast ... 2 1/4 teaspoons of yeast
x ounce of yeast = ? ... 2 teaspoons of yeast

If you would like to know how many ounces of yeast need to be in the recipe, you can calculate this using the following steps:

1/4 * 2 = x * 2 1/4
1/2 = x * 9/4     /*4/9
x = 1/2 * 4/9
x = 2/9

Result: 2/9 ounce of yeast needs to be in this recipe.
7 0
3 years ago
Please help name brainliest
kvasek [131]

Answer:

20 days

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
5. How many solutions does the equation<br> 7x + 3x – 8= 2(5x – 4) have? Explain.
GREYUIT [131]

Answer:

Your answer is: Infinitely Many

Any value of  x  makes the equation true.  Also, they are all real numbers.

Step-by-step explanation:

If you are solving to find all Complex Number Solutions: ↓

Solve the equation to find all of the complex solutions and that means that equation will be always true.

Hope this helped : )

6 0
3 years ago
What is the definition of the Angle Addition Postulate?
nasty-shy [4]
The angle addition postulates states that if an angle UVW has a point S lying in its interior, then the sum of angle UVS and angle SVW must equal angle UVW, or ?UVS + ?SVW= ?UVW.
8 0
3 years ago
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