Answer:
168). C
169). C
170). C
Step-by-step explanation:
For the first angle, it is a right angle, so it measures 90 degrees.
x and 50 are complementary angles, meaning they add up to 90 degrees.
So, subtract 50 from 90 to get 40, which is equal to x.
45 and x are supplementary angles, meaning they add up to 180 degrees.
Subtract 45 from 180 to get 35 degrees, which is the measure of angle x.
All angles in a triangle add up to 180 degrees.
So, 70 + 56 = 126, 180 - 126 = 54.
Since the unknown angle is x - 5, 54 + 5 = 59, which the the measure of angle x - 5.
The restaurant served 70 specials in all, 80% of which were salmon filets. It says to find salmon filets that the restaurant served last night.
So we just need to find 80% of 70.
Therefore, Number of Salmon Filets = 0.8*70 = 56.
Hence, the restaurant served 56 salmon filets.
<h3>Answer:</h3>
The number is 72
<h3 /><h3>Step-by-step solution:</h3>
Its hard to explain this really. Its kind of like a trial-and-error. Multiplying numbers by 8 with the second digit being 5 more than the units digit.
It takes time but eventually, youll find the answer.
Plus, You can search it up since theres already a pre-existing answer to this same question.
Answer:
Two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.
Step-by-step explanation:
We are given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.65 millimeters and a standard deviation of 0.07 millimeters.
<em>Let X = diameters of bolts produced in a machine shop</em>
So, X ~ N(
)
The z score probability distribution is given by;
Z =
~ N(0,1)
where,
= population mean
= standard deviation
<u>Now, we have to find the two diameters that separate the top 4% and the bottom 4%.</u>
- Firstly, Probability that the diameter separate the top 4% is given by;
P(X > x) = 0.04
P(
>
) = 0.04
P(Z >
) = 0.04
<em>So, the critical value of x in z table which separate the top 4% is given as 1.7507, which means;</em>
= 1.7507
= 5.65 + 0.122549 = 5.77
- Secondly, Probability that the diameter separate the bottom 4% is given by;
P(X < x) = 0.04
P(
<
) = 0.04
P(Z <
) = 0.04
<em>So, the critical value of x in z table which separate the bottom 4% is given as -1.7507, which means;</em>
= -1.7507
= 5.65 - 0.122549 = 5.53
Therefore, the two diameters that separate the top 4% and the bottom 4% are 5.77 and 5.53 respectively.
From the asymptotes of the function, the end behavior is given by:
- The vertical asymptote is x = 16.
- The horizontal asymptote is y = 4.
<h3>What are the asymptotes of a function f(x)?</h3>
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.
In this problem, the function is given by:

For the vertical asymptote, it is when the denominator is of zero, hence:
x - 16 = 0 -> x = 16.
For the horizontal asymptote, we find the limit as x goes to infinity, hence:

Hence the end behavior is given by:
- The vertical asymptote is x = 16.
- The horizontal asymptote is y = 4.
More can be learned about asymptotes and end behavior at brainly.com/question/16948935
#SPJ1