Answer:
U = 48
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x+21 + x+23 + x+61 = 180
Combine like terms
3x + 105 = 180
Subtract 105 from each side
3x+105-105 = 180-105
3x = 75
Divide by 3
3x/3 = 75/3
x = 25
We want angle u
x+23
25+23
48
Answer:
- Using conditional probabilities it can be shown that the results are influenced by the gender.
Explanation:
To prove that the results are influenced by <em>gender</em> you can calculate both the probability of preferring hot dogs and the conditional probability of preferring a hot dog given that is a female.
If the two results are different the probability of preferring hot dog is dependent on whether the person is a female or a male.
The probability of preferring hot dogs given that is a female is stated by the problem: 34.2%.
The probability of preferring hot dogs by the whole sample is:
- Number of males that prefer hot dogs: 184 (stated by the problem)
- Number of females that prefer hot dogs:
100% - 34.2% = 65.8%
65.8% of 635 = 0.658 × 635 = 417.83 ≈ 418
- Samples size: 542 males + 635 females = 1177
- Probability of preferring hot dogs =
number of students that preffer hot dogs / number of students =
(184 + 418) / 1177 = 602 / 1177 = 0.5115 ≈ 51.2%
Thus, the probability of preferring hot dogs given that the student is a female (34.2%) is different from the probability of preferring hot dog for the whole sample, making the results dependent of the gender.
Answer: The correct answer is 85%
Step-by-step explanation:
If you divide 17 by 20 then you'll get 0.85 which is the same as 85%.
- 17 ÷ 20 = 0.85, OR, 85% ← Work
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Answer: 
Step-by-step explanation:
A line that cuts a circle at two points is called "secant".
There is a theorem known as "Intersecting Secant Theorem". This is the theorem you need to use to find the value of "d".
According the Intersecting Secant Theorem:
Having this expression, the next step is to solve for "d":
Use Distributive property:
Subtract 256 from both sides:
Divide both sides by 16:
The value of "d" rounded to the nearest tenth is:
Answer:
The ratio of the amount for swordfish to the amount of salmon is 6:4
Step-by-step explanation:
Given as :
The price for 1 pound of swordfish = The price of 1.5 pound of salmon
So, On this relation
The price for ( 1 × 2 ) pound of swordfish = The price of ( 1.5× 2 ) pound of salmon
i.e The price for 2 pound of swordfish = The price of 3 pound of salmon
Now According to question
Mrs. O pay the total money for 2 pounds of swordfish and 3 pound of salmon = $ 39
Let the money she pay for swordfish = 2 sw
And The money she pay for salmon = 3 sa
∵, The total money she pay for both = $ 39
I.e 2 sw + 3 sa = 39
As 2 sw = 3 sa
So, 3 sa + 3 sa = 39
Or, 6 sa = 39
or, sa = 
= 
∴ sw = × 
or, sw = 
Now, the ratio of the amount for swordfish to the amount of salmon = 
I.e The ratio = 
Hence The ratio of the amount for swordfish to the amount of salmon is 6:4
Answer
