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adell [148]
3 years ago
13

What is the mode? 75 77 80 75 80 81 77 75 81

Mathematics
2 answers:
scZoUnD [109]3 years ago
8 0

Answer:

The mode is 75

Step-by-step explanation:

serious [3.7K]3 years ago
7 0

75

Hope this helped you !

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Evaluate:<br> Σ10, 8(27-1) =
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Answer:

Step-by-step explanation:

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3 years ago
f(x) = 3 cos(x) 0 ≤ x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be left endpoints. (Round your ans
Kruka [31]

Answer:

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

Step-by-step explanation:

We want to find the Riemann sum for \int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx with n = 6, using left endpoints.

The Left Riemann Sum uses the left endpoints of a sub-interval:

\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_0)+f(x_1)+2f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)

where \Delta{x}=\frac{b-a}{n}.

Step 1: Find \Delta{x}

We have that a=0, b=\frac{3\pi }{4}, n=6

Therefore, \Delta{x}=\frac{\frac{3 \pi}{4}-0}{6}=\frac{\pi}{8}

Step 2: Divide the interval \left[0,\frac{3 \pi}{4}\right] into n = 6 sub-intervals of length \Delta{x}=\frac{\pi}{8}

a=\left[0, \frac{\pi}{8}\right], \left[\frac{\pi}{8}, \frac{\pi}{4}\right], \left[\frac{\pi}{4}, \frac{3 \pi}{8}\right], \left[\frac{3 \pi}{8}, \frac{\pi}{2}\right], \left[\frac{\pi}{2}, \frac{5 \pi}{8}\right], \left[\frac{5 \pi}{8}, \frac{3 \pi}{4}\right]=b

Step 3: Evaluate the function at the left endpoints

f\left(x_{0}\right)=f(a)=f\left(0\right)=3=3

f\left(x_{1}\right)=f\left(\frac{\pi}{8}\right)=3 \sqrt{\frac{\sqrt{2}}{4} + \frac{1}{2}}=2.77163859753386

f\left(x_{2}\right)=f\left(\frac{\pi}{4}\right)=\frac{3 \sqrt{2}}{2}=2.12132034355964

f\left(x_{3}\right)=f\left(\frac{3 \pi}{8}\right)=3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=1.14805029709527

f\left(x_{4}\right)=f\left(\frac{\pi}{2}\right)=0=0

f\left(x_{5}\right)=f\left(\frac{5 \pi}{8}\right)=- 3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=-1.14805029709527

Step 4: Apply the Left Riemann Sum formula

\frac{\pi}{8}(3+2.77163859753386+2.12132034355964+1.14805029709527+0-1.14805029709527)=3.09955772805315

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

5 0
2 years ago
You are seeking to be emancipated from your parents. You are looking for an apartment. There are two final choices. Apartment A
Sliva [168]

Answer:

20 months

Step-by-step explanation:

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Monthly difference = 25$

500 / 25 = 20

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3 years ago
Could some please help me with this?
disa [49]
C: 20 m/s


Explanation:
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Time passed: 50s
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1000m / 50s = 20 m/s
8 0
2 years ago
Read 2 more answers
Can anyone help with this question pleasee
Vladimir [108]

Answer:

y = 1

Step-by-step explanation:

Given:

a^{3y - 5} = \frac{1}{a^2}

Apply the negative exponent rule

a^{3y - 5} = a^{-2}

The bases will cancel each other

3y - 5 = -2

3y - 5 + 5 = -2 + 5

3y = 3

\frac{3y}{3} = \frac{3}{3}

y = 1

7 0
3 years ago
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