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ohaa [14]
3 years ago
9

Can someone help me with this problem please thank youu how do you do it ?

Mathematics
1 answer:
icang [17]3 years ago
5 0

Answer:

A) x = 6 y = 6√3

Step-by-step explanation:

30-60-90 Triangle rule states that the hypothesis is 2x, the short leg is x, and the long leg is x√3. So, the short leg is 12/2 = 6, and the long leg is 6√3.

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In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist
Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408

#Define Y:

Y~(11.04,5.7408)

P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291

Hence, the probability of 12 or fewer is 0.8291

b. The  probability that 5 or more fish were caught.

#Using normal approximation:

P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above P(X\geq 5)=0.9968 and a ,P(X\leq 12)=0.7291

P(5\leq X\leq 120\approx P(4.5\leq Y\leq  12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259

Hence, the probability of between 5 and 12 is 0.7259

4 0
3 years ago
Sooooooooooooo..........
Alika [10]

Answer:

You can usually just go to profile and change your email and it will change your name necasue your name comes from your email.

Hope this helps

PLease mark me as Brainliest

8 0
3 years ago
Read 2 more answers
What is the quadratic in vertex form that has an a value of 8 and a vertex of (5, 6)?
faltersainse [42]

Answer:

y= 8(x-5)² + 6

Step-by-step explanation:

Parabolas have two equation forms, namely; the standard and vertex form.

In the vertex form, y = a(x - h)² + k, the variables h and k are the coordinates of the parabola's vertex.

In this case; a=8, h =5, and k=6

Therefore;

The vertex equation will be

y= 8(x-5)² + 6

8 0
3 years ago
Read 2 more answers
The front yard at matts house is a rectangle. The area of the yard is 48 square meters. His yard is 6 meters long. How wide is m
kakasveta [241]
Area is Length x Width, so dividing the area (48) by the length (6) will get you a width of 8 meters
3 0
3 years ago
Find the value of x?
Marrrta [24]

Step-by-step explanation:

 180-89=91(angles on a straight lline)

 5x-24=91(Corresponding angles)

 5x      =91+24

     5x =115

  <em>    x  =23 degrees</em>

94+13x-5=180(allied angles)

94+13x-5 =180-94+5

13x           =91

<em>               x=7</em>

7(x-7)=7x-49

7x-49=126(corresponding angles)

7x      =126+49

     7x=175

<em>        x=25</em>

<em>Hope you got it </em>

<em>If you have any question just ask me</em>

<em>If you think this is the best answer please mark me as BRAINLIEST</em>

5 0
3 years ago
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