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sveta [45]
3 years ago
10

Solve the differential equation

d="TexFormula1" title=" \frac{dy}{dx} = 2cos^{2} y" alt=" \frac{dy}{dx} = 2cos^{2} y" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
avanturin [10]3 years ago
5 0

tany =2x+C is the required differential equation.

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Given f(x) = 3x + 4 and g(x) = 8x + 1<br> then what is ( f + g )(0))?
alexandr1967 [171]
(f+g)(x)=f(x)+g(x)

(f+g)(x)=3x+4+8x+1

(f+g)(x)=11x+5

(f+g)(0)=11(0)+5

(f+g)(0)=0+5

(f+g)(0)=5
7 0
3 years ago
1. A population with a normal distribution has a mean of 104 and standard deviation 15. A sample of 30 items is taken from that
Pie

Answer:

0.3575

Step-by-step explanation:

A population with a normal distribution has a mean of 104 and a standard deviation of 15. A sample of 30 items is taken from that population. (a) (4 points) What is the probability of the sample mean is not less than 103?

The probability of the sample mean is not less than 103 means the sample mean is equal to 103

We solve using the z score formula

z = (x-μ)/σ/√n

where

x is the raw score = 103

μ is the population mean = 104

σ is the population standard deviation = 15

n is the random number of sample = 30

z = 103 - 104/15/√30

z = -1/2.7386127875

z = -0.36515

Probability value from Z-Table:

P(x≤ 103) = 0.3575

Therefore, the probability of the sample mean is not less than 103 is 0.3575

4 0
3 years ago
Chelsea takes the bus to school, but she walks home. The bus travels to the school at an average speed of 45 miles per hour. Whi
Neko [114]

Answer:

time walking=1-t hrs

ditace is same

therefore 2.5*(1-t)=45*t

2.5-2.5t=45t

t=2.5/46.5 hrs

this has only one solution since it is in linear form

4 0
3 years ago
Read 2 more answers
Jesse borrowed $350 from his mom to buy an electric scooter. Jesse will pay her
stepan [7]

Answer:

the answer is A

Step-by-step explanation:

350×3% =10.5

ans×5=21

3 0
3 years ago
Assume that when adults with smartphones are randomly​ selected, ​57% use them in meetings or classes. If 8 adult smartphone use
vovikov84 [41]

Answer:

≈ 0.2526

Step-by-step explanation:

<u>The number of combinations of 4 out of 8:</u>

  • 8C4 = 8!/(4!(8-4)!)= 8*7*6*5/(1*2*3*4)= 70

<u>Success factor is: </u>

  • 57% = 0.57

<u>and failure factor is: </u>

  • (100 - 57)%= 43%= 0.43

<u>Probability:</u>

  • 0.57⁴*0.43⁴*70 ≈ 0.2526
6 0
3 years ago
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