Answer:
[tex]\frac{35}{12}[/tex]
Step-by-step explanation:
The tangent of an acute angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
7. What is the DEGREE of the following binomial:
3x-2
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.7. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.08. It is estimated that 18 % of the population who take this test have the disease.
You may want to construct a table as in your course materials. Use a population of 10,000 people.If the test administered to an individual is positive, what is the probability that the person actually has the disease?Express your answer rounded correctly to three decimal places.
Solution :
It is given that :
P (positive | Has disease) = 0.7
P (positive | No disease) = 0.08
P (has disease) = 0.18
P (No disease) = 1 - 0.18
= 0.82
Now if test administered to the individual is positive, the probability that the person actually have the disease is
P (Has disease | positive) [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex] ......(1)
The P(positive) is,
[tex]$P(\text{positive}) = P(\text{positive} \cap \text{Has disease})+P(\text{positive} \cap \text{No disease})$[/tex]
= P(positive | has disease) x P(Has disease) + P(positive | no disease) x P(No disease)
= 0.7 (0.19) + 0.04 (0.81)
= 0.1654
Now substituting the values in the equation (1), we get
P (Has disease | positive) [tex]$=\frac{P(\text{positive}| \text{has positive}) \times P(\text{Has disease})}{P(\text{positive})}$[/tex]
[tex]$=\frac{0.7(0.19)}{0.1654}$[/tex]
= 0.8041
AD is tangent to circle B at point C. What is the measure of angle BCA.
Answer:
90°
Step-by-step explanation:
Actually the question should be AC is tangent to circle B at point C. What is the measure of angle BCA.
AC is tangent and BC is radius.
Radius is perpendicular to the tangent.
Therefore,
measure of angle BCA = 90°
Solve the following for c: 10c + 12 = - 48
Answer:
c = -6
Step-by-step explanation:
10c + 12 = -48
subtract 12 from both sides
10c = -60
divide by 10 on both sides
c = -6
Answer:
C = -6
Step-by-step explanation:
10c + 12 = - 48
-12 -12
10c = -60
/10 /10
c = -6
graph of function f(x)=1/x+7-14
Which expression shows a “7” NOT as a coefficient?
4x - 7y
7x + 8y
7(x + 9)
7 +5x
Answer:
7 + 5x
Step-by-step explanation:
there is no variable behind the 7
A coefficient is a number multiplied by a variable.
7 +5x
Because in this expression 7 doesn't have a variable
Please MARK me as brainlist
Decide if the following is a true or false statement - explain how you know
(- 1/2) - (4.25) is positive
Answer:
False
Step-by-step explanation:
The equation equals -1/2 - 4.25 which is -4.75, which is negative.
Hope that helps!
Length of time for a shower and the amount of water used
A. Positive association
B. Negative association
C. No association
A washer and a dryer cost $450 combined. The cost of the washer is two times the cost of the dryer. What is the cost of the dryer?
Answer:
$150
Step-by-step explanation:
so you can divvy this up into 3 parts
$150 each
now put 2 parts into one, and one into the other. The cost of the washer is $150
cost of the dryer is$ 300
please help me thank you
Answer:
y= - 1/6x-2
I hope it helped
Allentown, Bakersfield, and Cowville are not in a line. If it is 57 miles in aline from Allentown to Bakersfield and 35 miles from Bakersfield to Cowville , how far is it from Allentown to Cowville?
Answer:
27
Step-by-step explanation:
322415154551
Answer:
92Step-by-step explanation:
Just simply add 57 to 35.
57+35=92
If my radius is 10 feet, what is my diameter?
Answer:
Your diameter would be 20.
Step-by-step explanation:
1. Two radius added together is the diameter (if you're talking about a circle.)
2. You add 10+10 because as you said your radius is 10.
3. It would be 20.
Hope this helped!
REWRITE EACH PROBLEM AS A MULTIPLICATION QUESTION!
Hunter spent 2/3 of his money on a video game before spending half of his remaining money on lunch. If his lunch costs 10 dollars, how much money did he have at first?
Answer:
$60, because if $10 is half, then before lunch Hunter had $20.
If Hunter used 2/3 of his money to buy that video game, and remained with $20 that means that 1/3 of the original amount of money he had was $20.
$20 * 3 = $60. Hunter began with $60.
Step-by-step explanation:
hope this helped you! :)
5/7 times 1/8 ANSWER IN UNDER 2 MINUTS AND ILL MAKE YOU BRAINLIEST
Answer:5/56 or a decimal form of 0.08928571
Step-by-step explanation:
Answer:
0.08928571428571428571428571428571
Step-by-step explanation:
I hope this helps!
Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.
Answer:
(a) and (f)
Step-by-step explanation:
Given
[tex]y = 5x + 12[/tex]
See attachment for table and options
First, we calculate the slope of the table
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using:
[tex](x_1,y_1) = (2,29)[/tex]
[tex](x_1,y_1) = (4,53)\\[/tex]
So, we have:
[tex]m = \frac{53- 29}{4 - 2}[/tex]
[tex]m = \frac{24}{2}[/tex]
[tex]m = 12[/tex]
The equation is then calculated using:
[tex]y = m(x -x_1) + y_1[/tex]
This gives:
[tex]y = 12*(x -2) + 29[/tex]
[tex]y = 12x -24 + 29[/tex]
[tex]y = 12x+5[/tex]
So, we have:
[tex]y = 5x + 12[/tex] --- The given equation
and
[tex]y = 12x+5[/tex] --- The equation of the table
An equation is represented as:
[tex]y = mx + b[/tex]
Where:
m = slope or rate of change
b = y intercept
So, for the given equation: [tex]y = 5x + 12[/tex]
Rate of change = 5
y intercept = 12
For the table: [tex]y = 12x+5[/tex]
Rate of change = 12
y intercept = 5
In conclusion:
(a) [tex]y = 12x+5[/tex] has the greater rate of change:
and
(f) [tex]y = 5x + 12[/tex] has the greater y intercept
Select the correct answer. What is the solution to the equation? 3(x + 9)^3/4 = 24
Answer:
C~7
Step-by-step explanation:
The value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The equation is:
[tex]\rm 3(x + 9)^{3/4} = 24[/tex]
After solving:
[tex]\rm (x + 9)^{3/4} = 8[/tex]
(x + 9)³ = 4096
x + 9 = ∛4096
x + 9 = 16
x = 7
Thus, the value of x is 7 if the equation can be reduced to (x + 9)³ = 4096 after applying the properties of the integer exponent option (C) 7 is correct.
Learn more about the integer exponent here:
brainly.com/question/4533599
#SPJ2
As a car moves along a section of the roadway in a mountain pass, it passes through a horizontal run of 950 feet and through a vertical rise of 35 feet. To the nearest foot, how far does the car move along the roadway?
Answer:
I believe it will be 55.9 or 56 along the roadway
Step-by-step explanation:
Hope this Helped
Your friend arrives and placed pieces appropriately on the board. What percent of the checker board squares have pieces?
URGENT I WILL GIVE BRAINLIEST TO CORRECT ANSWER
Answer:
25% of the board is covered with checker pieces.
Step-by-step explanation:
Answer:
If it's just for the pieces shown, it's just 0.125 or 12.5%, but if it's saying to include both sides (even though the picture doesn't represent this), it's just 0.25 or 25%
Step-by-step explanation:
8/64 or 16/64
Which value of x makes the two matrices inverses of each other?
5
2
1
-2
2
1
5
-2
-1
2
Answer:
A: -2
Step-by-step explanation:
TOOK THE TEST
1000-(864%2+336%3+648%2)=
Answer:
959.72
Step-by-step explanation:
you have to simplify
Step-by-step explanation:
=1000-864%2-336%3-648%2
=1000-17.28-10.08-12.96
=-11123.36
You're selling tickets to a school play priced at $5 for students, $10 for parents, and $20 for general admission. The total sales are $2,500, you sell twice as many parent tickets as student tickets, and you selll 10 more students tickets than general admission. How many of each ticket did you sell?
A:60 student, 120 parent, and 50 general admission
B:40 student, 80 parent, and 30 general admission
C:80 student, 160 parent, and 70 general admission
D:90 student, 45 parent, and 80 general admission
Answer:
A
Step-by-step explanation:
4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32
Answer:
A) 18
Step-by-step explanation:
add 46 and 26, you get 72
now, subtract 72 from 90 and what do you get?
........ not gonna tell me huh? XDD
you get 18, right???
to make sure you calculated correctly, add everything together
46 + 26 + 18 = 90!!!
yay! so from what ive just showed you, what can you determine???
that 18 of the movies are science fiction.
Good luck and I hope this helped, if so... would you please mark me as brainliest?? Thanks!!
y+2=1/5(x+1)
graph?
Answer:
x=5Y+9, Plot on graph 1/5x-9/5
Step-by-step explanation:
The x intercept is (9,0)
The Y intercept is (0,-9/5)
Substitute w = 1 and w = 3 to determine if the two expressions are equivalent.
Answer:
mineeeeeeeeeeee
Step-by-step explanation:
solve 3e = -27 show work
this one i dont understand how to do
Answer:
-9Step-by-step explanation:
This would be -27/3 = -9
16 emails to 6 text messages- 10 emails to 4 text messages proportional or not
Given:
16 emails to 6 text messages- 10 emails to 4 text messages
To find:
Whether 16 emails to 6 text messages- 10 emails to 4 text messages proportional or not.
Solution:
Check the ratio of emails to text. If the ratios are equal then the relation is proportional.
16 emails to 6 text messages.
[tex]\dfrac{Emails}{Text}=\dfrac{16}{6}[/tex]
[tex]\dfrac{Emails}{Text}=\dfrac{8}{3}[/tex]
[tex]\dfrac{Emails}{Text}=8:3[/tex]
10 emails to 4 text messages.
[tex]\dfrac{Emails}{Text}=\dfrac{10}{4}[/tex]
[tex]\dfrac{Emails}{Text}=\dfrac{5}{2}[/tex]
[tex]\dfrac{Emails}{Text}=5:2[/tex]
Since [tex]\dfrac{8}{3}\neq \dfrac{5}{2}[/tex] or [tex]8:3\neq 5:2[/tex], therefore, it is not proportional.
DASAROLLA:
a) (x+3) (x+5)=
b) (x+4) (x-5)=
Answer:
a)[tex]x^{2}[/tex]+8x+15
b)[tex]x^{2}[/tex]-x-20
Step-by-step explanation:
a) (x+3)(x+5)
a)[tex]x^{2}[/tex]+5x+3x+15
a)[tex]x^{2}[/tex]+8x+15
b) (x+4)(x-5)
b) [tex]x^{2}[/tex]-5x+4x-20
b)[tex]x^{2}[/tex]-x-20
5/9 TIMES 1/6 PLS HURRY I HAVE ONE MINUTE LEFT
Answer: 5/54
Step-by-step explanation:
Answer:
5/54
= 0,092
Step-by-step explanation:
thank you
hope this helps
Writing an Equation in Slope-Intercept Form
Determine the equation for the given line in
slope-intercept form.
Answer:y=Mx+b
Step-by-step explanation:
Andre bought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was bought.
How much did the bag weigh before it was opened?
Answer:
There were 16 ounces of Cat Food after 24 days.