Answer:
The specificity of this test is expressed as:________
70%.
Step-by-step explanation:
a) Data and Calculations:
TEST RESULTS Disease Present Disease Absent Total
Positive for Factor X 40 60 100
Negative for Factor X 10 140 150
Total 50 200 250
Negative for X and Disease Absent = 140/200 * 100
= 0.7 * 100
= 70%
b) The specificity refers to the percentage of people who test negative for a specific disease among a group of people who do not have the disease. No test is 100% specific because some people who do not have the disease X will test positive for it (false positive). Therefore, we are testing for the true negative, that the 140 people who tested out of the 200 people who do not have the disease.
After how many years will Mr.Rodriguez have increased his original investment by more than 50%? Explain your reasoning
Answer:
elaborate, this is vague
Step-by-step explanation:
Given that X
[tex] {x}^{3} [/tex]
x
[tex] {3}^{3} [/tex]
=
[tex] {6}^{3} [/tex]
, find the value of X.
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]x^{3} * 3^{3} = 6^{3}[/tex]
[tex]=> (3x)^{3} = 6^{3}[/tex]
[tex]=> 3x = \sqrt[3]{6^{3}} = 6[/tex]
[tex]=> x = \frac{6}{3} = 2[/tex]
Answer:
[tex] {x}^{3} \times {3}^{3} = {6}^{3} \\ take \: cube \: root \: on \: both \: side \ \\ \sqrt[3]{ {x}^{3} } \times \sqrt[3]{ {3}^{3} } = \sqrt[3]{ {6}^{3} } \\ x \times 3 = 6 \\ x = \frac{6}{3} \\ x = 2 \\ thnk \: you[/tex]
If u steal point i report
Answer: the 2 on the right
Step-by-step explanation:
find the opposite of the opposite of each integer. -8
Step-by-step explanation:
8 will be the answer might be
If all of these are answered i will give a crown, a thanks, and five stars! also many points.
Answer:
94. E
95. A
96. F
97. B
98. H
99. D
Hope this helps :)
There are 18 girls in mr. Brimley’s math class. If 60% of the students are girls, how many students are in mr. brimley’s math class?
Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
If x = 3 (y + 2) minus 1 what is the value of w in terms of x and y? w = StartFraction x minus 3 y Over 3 EndFraction w = StartFraction x minus 3 y + 1 Over 3 EndFraction w = x minus 3 y + 1 w = StartFraction x + 1 Over 9 y EndFraction
Answer:
B.
Step-by-step explanation:
To find the value of w in terms of x and y, we need to substitute the given values of x and y into the equation for w. First, we are given the equation [tex]x = 3(y + 2) - 1[/tex].
Let's simplify this equation before substituting it into the equation for w. Expanding the equation, we have: [tex]x = 3y + 6 - 1 x = 3y + 5[/tex] Now we can substitute the value of x into the equation for w. w [tex]= (x - 3y + 1) / 3[/tex] Substituting the value of x from the earlier equation: w [tex]= (3y + 5 - 3y + 1) / 3 w = (6y + 6) / 3[/tex]
At this point, we can further simplify the equation by dividing both the numerator and denominator by 3: w[tex]= 2y + 2[/tex]Therefore, the value of w in terms of x and y is w[tex]= 2y + 2. I[/tex]n summary: Starting with x [tex]= 3(y + 2) - 1,[/tex]we substituted the value of x into the equation for w and simplified to obtain w [tex]= 2y + 2.[/tex]
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What is 8/25 as a decimal representation and as a percent representation please answer thank you
Answer:
decimal: 0.32 percent: 32%
Step-by-step explanation:
what is the ratio of 3 squares and 4 triangles
help me please i really need help!
Answer:
51.3°
Step-by-step explanation:
tan y = 10/8 = 1.25
y = 51.3°
Median,mode,mean of 1,4,6,7,2,3,8,2,3,57,7,3,1
Answer:
Median: 3.5 Mode: 3, 7 Mean: 4.2
Step-by-step explanation:
hope this helps :)
katie collets stamp she has stamps from canada, United Staes,ands Rest of the world in a ratio of 1:1.2:1.5 she has 135 stamps from rest of the world
Answer:
90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World
Step-by-step explanation:
Since this is a problem of proportion we can use the Rule of three to solve this. We do this by multiplying the diagonal available values and dividing by the third value in order to get the missing variable, which in this case would be the number of stamps in the other country. Like so...
1.5 <=====> 135 stamps
1.2 <=====> x stamps (United States)
(1.2 * 135) / 1.5 = 108 stamps (United States)
1.5 <=====> 135 stamps
1 <=====> x stamps (Canada)
(1 * 135) / 1.5 = 90 stamps (Canada)
Finally, we can see that Katie had 90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World. All creating a ratio or 1:1.2:1.5
An advanced biology student wants to test the effects of a chemical fertilizer versus natural fertilizer, so she plans to divide a rectangular garden in half by running a fence parallel to two of the exterior sides. She has a fixed amount of fencing (36m) and she wants to have fencing around the entire garden in addition to the fence down the middle. Find the maximum area of the natural fertilizer garden.
Answer:
[tex]108\ \text{m}^2[/tex]
Step-by-step explanation:
The sides are rectangle is shown in the diagram
The perimeter of the fence will be
[tex]3x+2y=36\\\Rightarrow x=\dfrac{36-2y}{3}[/tex]
Area of the smaller section of the garden
[tex]A=xy\\\Rightarrow A=\dfrac{36-2y}{3}y\\\Rightarrow A=\dfrac{36y-2y^2}{3}[/tex]
Differentiating with respect to y we get
[tex]\dfrac{dA}{dy}=\dfrac{1}{3}(36-4y)[/tex]
Equating with zero we get
[tex]\dfrac{1}{3}(36-4y)=0\\\Rightarrow 36-4y=0\\\Rightarrow y=\dfrac{36}{4}\\\Rightarrow y=9[/tex]
Double derivative of area
[tex]\dfrac{d^2A}{dy^2}=-4<0[/tex]
at y = 9 the area is maximum
[tex]x=\dfrac{36-2y}{3}=\dfrac{36-2\times 9}{3}\\\Rightarrow x=6[/tex]
The sides of the entire garden are [tex]2y=2\times 9=18\ \text{m}[/tex] and [tex]6\ \text{m}[/tex]
The maximum area of the natural fertilizer garden is [tex]18\times 6=108\ \text{m}^2[/tex]
what percent of 15 is 5
Answer: 33%
Step-by-step explanation: 5/15 simplifies to 1/3 which is 33%
Answer:
33.333333333..... %
Step-by-step explanation:
(5/15)*100
Determine any data values that are missing from the table, assuming that the data represent a linear function.
X
ly
1
2
12
16
4
a.
2
10
b.
C. 14
d. 16
Answer:
Fill in the blank with 14
Step-by-step explanation:
Given
The attached table
Required
Fill in the gap
Since, the table represents a linear function.
The first step is to calculate the slope of the table
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (1,2)[/tex]
[tex](x_2,y_2) = (2,6)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{6 - 2}{2 - 1}[/tex]
[tex]m = \frac{4}{1}[/tex]
[tex]m=4[/tex]
The equation of the table is calculated next as:
[tex]y - y_1 = m(x - x_1)[/tex]
This becomes
[tex]y - 2 = 4(x - 1)[/tex]
[tex]y - 2 = 4x - 4[/tex]
Solve for y
[tex]y = 4x - 4+2[/tex]
[tex]y = 4x -2[/tex]
To fill in the blank;
The value of x is 4
So, substitute 4 for x in [tex]y = 4x -2[/tex]
[tex]y = 4 * 4 - 2[/tex]
[tex]y = 16 - 2[/tex]
[tex]y = 14[/tex]
a milk truck delivers 466 dozen gallons of milk to store in 1 day.
Answer:
whats the question? I don't see one to be abel to answer you
Find the simple interest.
Principal:$6000
Interest Rates: 5%
Time: 6 months
Is it $1500 or $150?
Answer:
Given,
P = ₹5,000
R = 5%
T = 6 months
= 1/2 years
S.I = P×R×T/100
= 5,000 × 5 / 2×100
= 250 / 2
= ₹125
Step-by-step explanation:
The simple interest of principal of $ 6000 at an interest rate of 5% for a period of 6 months is $ 150
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Given data ,
Let the total amount be Principal P = $ 6000
Let the interest rate be R = 5 %
Let the number of periods be T = 6 months
So , the value of T = 1/2
Now , the simple interest is given by the formula
Simple Interest = ( Principal Amount x Rate x Time Period ) / 100
Substituting the values in the equation , we get
Simple Interest = ( 6000 x 5 x ( 1 / 2 ) ) / 100
Simple Interest = ( 60 x 5 ) / 2
Simple Interest = $ 150
Therefore , the value of simple interest is $ 150
Hence , The simple interest of principal of $ 6000 at an interest rate of 5% for a period of 6 months is $ 150
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How many ways can 3 yearbook posters out of a total of 6 posters be displayed across a wall?
9514 1404 393
Answer:
120
Step-by-step explanation:
The first one can be any of 6. The second can be any of the remaining 5, and the third can be any of the remaining 4. The total number of possible displays is ...
6 × 5 × 4 = 120
3 posters of 6 can be displayed 120 ways.
I need help with this is this correct???
Answer:
NONONO the answer is C
Step-by-step explanation:
Multiply -3 by -1 gives 3. 3 plus 15 IS equal to 18!
Answer:
The answer is C
Step-by-step explanation:
3x+15=18
if x = -1
-3 (-1) + 15 = 18
negative times negative makes positive so
3+15=18
Enter the midpoint of the segment whose endpoints are (2,9) and (-8, 14).
When solving the equation, which is the best first step to begin to simplify the equation?
-2(x+3) =-10
What is 450.012 to the nearest hundredth
Answer:
450.01
Step-by-step explanation:
jane and her friends are diving to explore a wreckage from a ship that is 40 meters below sea level the platform they dive from is 10 meters above sea level how far do they have to go to reach wreckage
Answer:
They have to go 30 m below sea level to reach wreckage.
Step-by-step explanation:
jane and her friends are diving to explore a wreckage from a ship that is 40 meters below sea level the platform they dive from is 10 meters above sea level.
Below sea level means = -40 m
Above sea level means = +10 m
It means,
-40 m + 10 m
= -30 m
Hence, they have to go 30 m below sea level to reach wreckage.
Valerie earns $12.20 per hour. If she worked for 7.75 hours yesterday, how much did she earn? $94.55 $94.65 $945.50 $946.50 ASAP PLEEEEEAAAAASE!!!!
please helppppppppppp
Answer:
103 degrees
Step-by-step explanation:
180 - 77 = 103
Sam ran two-fifths of a mile each day for 4 days. How far did he run after the 4 days?
1/2y=4, x-1/2y=2 the system of equations above has solution (x,y)
Answer:
(6, 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
1/2y = 4
x - 1/2y = 2
Step 2: Solve for y
Define equation: 1/2y = 4Isolate y: y = 8Step 3: Solve for x
Define equation: x - 1/2y = 2Substitute in y: x - 1/2(8) = 2Multiply: x - 4 = 2Isolate x: x = 6Answer: (6,8)
Step-by-step explanation:
1/2y = 4
x - 1/2y = 2
First solve for y in the first equation.
1/2y = 4 Divide both sides by 1/2
y = 8
NOw substitute the value of y into the second equation and solve for x.
x
x - 1/2(8) = 2
x - 4 = 2
+4 +4
x = 6
THis makes the solution (6,8)
****time limit***********
Answer:
This is the answer. All the very best. Do it
The base of a cone shaped glass is 12 inches and it is 18 inches tall. You
fill the glass with soda pop to the top of the glass. What is the volume of
soda pop
Answer:
Step-by-step expla
To find the volume of a cone, use the equation: V = 1/3Bh.
In this equation, V is the volume, B is the base, and h is the height.
We are given that the base is 12 inches, and the height is 18 inches. With those necessary values, we can substitute those values, and calculate it.
V = 1/3(12)(18)
V = 4(18)
V = 72.0
Therefore, the volume of this glass is 72.0 cubic inches.
PLEASE PLEASE I SUCK AT MATH AND ITS ALL DUE FRIDAY PLEASE 10 piont !!! Select all the correct systems of equations.
Which systems of equations have infinite solutions?
2x + 5y = 31
6x - y = 13
2x + y = 10
-6x = 3y + 7
y = 14 - 2x
6x + 3y = 42
y = 13 - 2x
4x - 3y = -19
2x + y = 14
x = 13-2y
2x + y = 17
-6x = 3y - 51
Reset
Next
Answer:
2x + y = 17
-6x = 3y - 51
Step-by-step explanation:
You get an infinite number of solutions when two equations are really just the same. This means you can convert one into the other simply by multiplying one to get the other.
In the above answer, if you multiply the above by -3 you get:
-6x -3y = -51
which is of course -6x = 3y - 51
So that is an example of a pair that has infinite solutions.
To find all of them, you'd carefully have to compare each 2 and see if there is a multiplier to convert one into the other. You can do that!