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lakkis [162]
3 years ago
15

Solve for x. Round to the nearest tenth of a degree, if necessary

Mathematics
1 answer:
iragen [17]3 years ago
8 0
Tan^-1 (27/48)
x ≈ 29.36°

hope this helps!
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All are equivalent except x<-2, x-2<4, 2x<-4, x-2<-4 ?
m_a_m_a [10]
To figure out which is not equivalent to the others,, we must solve each option provided. x < -2 is already solved,, so there is no need to do any work that option.
The first step for solving x - 2 < 4 is to move the constant to the right side and then change its sign.
x < 4 + 2
Now add the numbers together to get your final answer.
x < 6
This means that we have one option that equals x < -2 and one option that equals x < 6.
Let's now solve 2x < -4 to see what that one equals. In order to solve this,, we need to divide both sides of the inequality by 2.
x < -2
Now we can see that it looks like all of the expressions are equivalent except for x - 2 < 4. Before we can confirm this though,, let's solve for x - 2 < -4. The first step for solving this is to move the constant to the right side and change its sign.
x < -4 + 2
Now calculate the sum of these two numbers to get your final answer.
x < -2
This tells us that all of the options are equivalent except for x - 2 < 4,, or option B.
Let me know if you have any further questions.
:)
4 0
3 years ago
CDEF is a kite and FCE equals 16. Find 2
ELEN [110]

Answer:

m < 3 = 90 - 46 = 44 degrees answer.

Step-by-step explanation:

8 0
3 years ago
Candice is preparing for her final exam in Statistics. She knows she needs an 65 out of 100 to earn an A overall in the course.
sertanlavr [38]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean  Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 =  

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean  2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to  of the values.

Therefore, Scores between 72 and 90 =  

= 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 =  

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve for u.<br> - 4(w + 1) = -24
marta [7]
W=-21 Move the four over to the 24 leaving you with negative 20 and then “subtract” one
4 0
3 years ago
Read 2 more answers
Which describes an isometric transformation? dilation/ rotation/ side length change/ angle change
Westkost [7]

Answer:

  rotation

Step-by-step explanation:

"Isometric" means all measures stay the same.

  • dilation changes all lengths
  • <em>rotation changes no measures -- an isometric transformation</em>
  • side length change obviously changes the length of a side
  • angle change obviously changes the measure of an angle
7 0
3 years ago
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