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netineya [11]
4 years ago
15

Find the value of x to the nearest degree.

Mathematics
1 answer:
Vinvika [58]4 years ago
3 0

Answer:  77°

<u>Step-by-step explanation:</u>

In relation to ∠X, 3 is the adjacent side and 13 is the opposite side.

tan\ \theta=\dfrac{opposite}{adjacent}\\\\tan\ x=\dfrac{13}{3}\\\\x = tan^{-1}\bigg(\dfrac{13}{3}\bigg)\\\\.\ =77

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Statistics Probability
andriy [413]

Answer:

Explained below.

Step-by-step explanation:

Denote the variable as follows:

M = male student

F = female student

Y = ate breakfast

N = did not ate breakfast

(a)

Compute the probability that a randomly selected student ate breakfast as follows:

P(Y)=\frac{n(Y)}{N}\\\\=\frac{198}{330}\\\\=0.60

(b)

Compute the probability that a randomly selected student is female and ate breakfast as follows:

P(F\cap Y)=\frac{n(F\cap Y)}{N}\\\\=\frac{121}{330}\\\\=0.367

(c)

Compute the probability a randomly selected student is male, given that the student ate breakfast as follows:

P(M|Y)=\frac{n(M\cap Y)}{n(Y)}\\\\=\frac{77}{198}\\\\=0.389

(d)

Compute the probability that a randomly selected student ate breakfast, given that the student is male as follows:

P(Y|M)=\frac{n(Y\cap M)}{n(M)}\\\\=\frac{77}{154}\\\\=0.50

(e)

Compute probability of the student selected "is male" or "did not eat breakfast" as follows:

P(M\cup N)=P(M)+P(N)-P(M\cap N)\\\\=\frac{n(M)}{N}+\frac{n(N)}{N}-\frac{n(M\cap N)}{N}\\\\=\frac{n(M)-n(N)-n(M\cap N)}{N}\\\\=\frac{154+132-77}{330}\\\\=0.633

(f)

Compute the probability of "is male and did not eat breakfast as follows:

P(M\cap N)=\frac{n(M\cap N)}{N}\\\\=\frac{77}{330}\\\\=0.233

4 0
3 years ago
Based on the graphic, which three-dimensional figure has the greatest volume?
dedylja [7]

Answer:c) they have the same volume

Step-by-step explanation: same height equals same volume

5 0
3 years ago
A student is solving the equation 4^x–1 = 64^x+3.
Doss [256]
The answer is <span>x - 1 = 3x + 9

All steps are:
</span>Step 1: 4ˣ⁻¹ = 64ˣ⁺³<span> 
Step 2: 4</span>ˣ⁻¹ = (4³)ˣ⁺³ <span>
Step 3: 4</span>ˣ⁻¹ = 4³ˣ⁺⁹ 
Step 4: x - 1 = 3x + 9
Step 5: x - 3x = 1 + 9
Step 6: -2x = 10
Step 7: x = 10/-2
Step 8: x = -5
4 0
4 years ago
Read 2 more answers
Yikes mctugg bought 1/2pound of potato salad . He ate 2/3of it for lunch .How much potato salad was left for an afternoon snack
Anna007 [38]

\frac{1}{2}  -  \frac{2}{3}( \frac{1}{2}) =  \frac{1}{2} -  \frac{2}{6} =  \frac{3}{6} -  \frac{2}{6} =  \frac{1}{6} pound
5 0
3 years ago
In the diagram below, PA= <br>4, AB=2, and PC=3. Find<br>the length of PD.<br><br>​
Diano4ka-milaya [45]

Answer:

PD = 8

Step-by-step explanation:

PC x PD = PA x PB

3 x PD = 4 x (4 + 2)

3PD = 24

PD = 8

3 0
3 years ago
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