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Margarita [4]
3 years ago
6

Help me with this... please and thank you!

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer:

2.33

Step-by-step explanation:

The first step is to realize that angle A is 90-25= 65 degrees. From this, you can set up a law of sines equation.

\frac{\sin(65^\circ)}{5}=\frac{\sin(25^\circ)}{x}\\x=\frac{\sin(25^\circ)\cdot 5}{\sin(65^\circ)}\approx 2.33

Hope this helps!

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Need help, please what is the Domain<br> Range<br> Thanks
s2008m [1.1K]

Answer:

See below.

Step-by-step explanation:

The domain which is all the posible values of x is: x is real and  in the interval

[1, 6].

The range is real f(x) in the interval [1, 7].


5 0
3 years ago
A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The
Natasha_Volkova [10]

Answer:

The right answer is "0.2".

Step-by-step explanation:

The given values are:

\bar{x_0} = 3.7

s_o=4.95

t_{\frac{0.05}{2} }=2.2621

As we know,

95% confidence for \mu_0 will be:

= \bar{x_0} \pm t_{\frac{0.05}{2} },n-1\times \frac{s_o}{\sqrt{n} }

The lower bound will be:

= 3.7-2.2621\times \frac{4.95}{\sqrt{10} }

= 0.16\simeq 0.2

The upper bound will be:

= 3.7+2.2621\times \frac{4.95}{\sqrt{10} }

= 7.23\simeq7.2

Thus the right answer is "0.2"

8 0
2 years ago
Let X denote the temperature (degree C) and let Y denote thetime in minutes that it takes for the diesel engine on anautomobile
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

Given f_{XY} (x,y) = c(4x + 2y +1) ; 0 < x < 40\,and\, 0 < y

a)

we know that \int\limits^\infty_{-\infty}\int\limits^\infty_{-\infty} {f(x,y)} \, dxdy=1

therefore \int\limits^{40}_{-0}\int\limits^2_{0} {c(4x+2y+1)} \, dxdy=1

on integrating we get

c=(1/6640)

b)

P(X>20, Y>=1)=\int\limits^{40}_{20}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

on doing the integration we get

                        =0.37349

c)

marginal density of X is

f(x)=\int\limits^2_{0} {\frca{1}{6640}(4x+2y+1)} \, dy

on doing integration we get

f(x)=(4x+3)/3320 ; 0<x<40

marginal density of Y is

f(y)=\int\limits^{40}_{0} {\frca{1}{6640}(4x+2y+1)} \, dx

on doing integration we get

f(y)=\frac{(y+40.5)}{83}

d)

P(01)=\int\limits^{40}_{0}\int\limits^2_{1} {\frca{1}{6640}(4x+2y+1)} \, dxdy

solve the above integration we get the answer

e)

P(X>20, 0

solve the above integration we get the answer

f)

Two variables are said to be independent if there jointprobability density function is equal to the product of theirmarginal density functions.

we know f(x,y)

In the (c) bit we got f(x) and f(y)

f(x,y)cramster-equation-2006112927536330036287f(x).f(y)

therefore X and Y are not independent

4 0
3 years ago
True or false stats question
Aliun [14]

Answer:

true

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLSSSS HELPP ASSPPPP!!!!
Rina8888 [55]

Answer:

33 gallons

Step-by-step explanation:

44/20 = 2.2

$2.2 per gallon

2.2x15

4 0
3 years ago
Read 2 more answers
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