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larisa86 [58]
3 years ago
9

Latasha is younger than Andrea. The sum of their ages is 28. The difference between their ages is 10

Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0
Latasha is 9 years old


Explanation: 9+19=28
19-9=10
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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
3(y−1.5)=9.9–4.2y Please help. Solve for y
AVprozaik [17]

Answer:

2

Step-by-step explanation:

8 0
3 years ago
in a hotel ,100 bulbs each of 60W are lightened for 6 hours a day and 40 fans each of 50Wvate run for 10 hours a day . calculate
alekssr [168]

Answer:

1680 kwhr

Step-by-step explanation:

See attached for explanation.  I converted watt*hr to kW*hr by dividing by 1000.

Fans Bulbs  

 40         100  

 50          60      W

  10            6       hours/day

20000 36000 W*hr/day

 30          30 days/month

600000 1080000    W*hr/month

  600      1080   kWhr/month

 

Total = 1680 kWhr/month

5 0
2 years ago
If 8 men on a construction crew make up 40% percent of the entire crew, how many people are in the crew?
pochemuha

Answer:

Step-by-step explanation:

Since 40% of the crew are men, which means n. 40=8 n=8/. 40 n=20 total number of crew 20 - 8=12 are women

6 0
2 years ago
Read 2 more answers
Data is collected to perform the following the hypothesis test:
nekit [7.7K]

Answer:

option f is right

Step-by-step explanation:

Given that data is collected to perform the following hypothesis test.

H_0: \mu = 5.5\\H_a: \mu >5.5

(right tailed test)

Sample mean = 5.4

p value = 0.1034

when p value = 0.1034 we normally accept null hypothesis.  i.e chances of null hypothesis true is  the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct

f) If the mean µ does not differ significantly from 5.5 (that is, if the null hypothesis is true), then the probability of obtaining a sample mean y as far or farther from 5.5 than 5.4 is .1034.

.

5 0
3 years ago
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