Answer:
Interval ( 24 ; 40 ) has 136 participants
Interval ( 16 ; 40 ) has 163 participants
Step-by-step explanation:
Normal distribution.
As variance is 64 then standard deviation is σ = 8
And mean μ₀ = 32
We can see that μ₀ ± σ is 32 ± 8
The interval ( 32- 8 ; 32+8 ) is ( 24 ; 40 )
By empirical Rule we know that μ₀ ± σ contains 68% of the population then 200*0,68 = 136
The number of participants between 24 and 40 is 136
By symmetry of these 136 half of them are between 32 and 40 ( 136/2 = 68 ) ( between mean and 40 )
Now in the interval ( 16 ; 40 ) we note that 16 is 32 - 16 = 16 or μ₀ - 2σ
And again by empirical rule μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2 95 are between μ₀ - 2σ, therefore
95 people are between μ₀ - 2σ or between ( 16 ; 32 ) and between ( 32 ; 40 ) there are 68 people then
The interval ( 16 ; 40 ) has 95 + 68 = 163 participants
-2 (1/3x - 1/5) please answer ASAP I have to turn this in in 30 min!!
Answer:
1/3 + 1/5 them you solve -2
Step-by-step explanation:
Answer:
-2/3x+2/5
Step-by-step explanation:
Open up parentheses
-2 x 1/3x= -2/3x
-2 x 1/5= 2/5
The sum of 2 numbers is 30. Their product is 176. What are the 2 numbers?
Answer:
Step-by-step explanation:
x, 30 - x add to 30. The other condition says
x (30 - x) = 176. Multiply it out.
30x - x^2 = 176, so
x^2 - 30x = -176, complete square by adding 15^2 to both sides
(x - 15)^2 = 225 - 176 = 49, take square root
x - 15 = 7, so one number is:
x = 22 and the other is 30 - x = 8.
From midnight to 6:00 am, the temperature rose 1.55c each hour. If the temperature at 6:00 am was 4.3c, what was the temperature at midnight?
A screening test for a newly discovered disease is being evaluated for its performance as a screening test. In order to determine the effectiveness of the new test, it was administered to 270 workers. A total of 42 individuals who had been diagnosed with the disease tested positive for it. Results showed a negative test for an additional 25 people with the disease. A total of 51 people without the disease tested positive. What is the sensitivity, specificity, positive predictive value, negative predictive value, and accuracy of the test
Answer:
- Sensitivity = 62.7 %
- specificity = 74.9 %
- positive predictive value = 45.2 %
- negative predictive value = 85.9 %
- Accuracy of the test = 71.9 %
Step-by-step explanation:
Given the data in th question;
CONDITION POSITIVE CONDITION NEGATIVE TOTAL
TEST POSITIVE 42 51 93
TEST NEGATIVE 25 152 177
TOTAL 67 203 270
so; A=42, B=51, C=25 and D=152
Sensitivity = [A / ( A + C) ]×100= [42 /( 42 + 25)]×100 = [42 / 67] 100=
Sensitivity = 62.7 %
specificity = [D / ( D + B) ]×100= [152 /( 152 + 51)]×100 = [152 / 203] 100=
specificity = 74.9 %
positive predictive value = [A / ( A + B) ]×100 = [42 /( 42 + 51)]×100 =[42/93] 100
positive predictive value = 45.2 %
negative predictive value = [D / ( D + C) ]×100 = [152 /( 152 + 25)]×100 =[152/177] 100
negative predictive value = 85.9 %
Accuracy of the test = [A + D / ( A+B+C+D)] = [42 + 152 / ( 42+51+25+152)]
= [ 194 / 270 ]
Accuracy of the test = 71.9 %
21=8+x (solve for x)
Answer:
X=13
Step-by-step explanation:
Answer:
x=13
Step-by-step explanation:
21=8+x
Swap sides so that all variable terms are on the left hand side.
8+x=21
Subtract 8 from both sides.
x=21−8
Subtract 8 from 21 to get 13.
x=13
how do you solve y+1=2x
y =2x-1
Step-by-step explanation:
Estimate the unit rate to the nearest whole number.
74.75
Answer:
umm.... 75? id say that sooo yea
Answer:
The answer is $75.00
Step-by-step explanation:
0.75 is above fifty, so you round up. Which gets you to 75
65 POINTS!!! ANSWER ASAP PLEASE!
Computer keyboards have many different types of keys. A key may have a number, letter, or symbol (like a question mark) on it. On the keyboard shown, what percent of the keys do NOT have numbers on them?
A.
40%
B.
25%
C.
75%
D.
10%
Answer:
abt 75%
Step-by-step explanation:
please help :( i’ve posted like 10 times and need answerers fast but no one can help. will give thanks and mark brainlist
9514 1404 393
Answer:
BC ≈ 9.6 mi
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle.
Tan = Opposite/Adjacent
tan(58°) = BC/(6 mi)
BC = (6 mi)tan(58°)
BC ≈ 9.6 mi
2
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5+ 3x
<
Answer:
5x + 6y + 1
Step-by-step explanation:
I need help with this I roll mark you if right
Answer:
That would be A my good Sir (or ma'am).
Step-by-step explanation:
A triangle has a total of 180 degrees in it , however we already know one side is 45, so we can add that to the solution, we also know that 2 sides are the exact same, so therefore, we will be multiplying our unknown value ( x = 67.5 btw, not so unknown) by 2, and you will always get 180 degrees, thats how you check your answer, also if you sbutract 45 from 180 and divide the product by 2 you will get the value of x ( which is 67.5).
Thats It Helps It Helps!
Find the circumference of 17 km
Answer:
23
Step-by-step explanation:
Area = π·r2 = 3.14·2.712 = 23 square kilometers(*)
given y= 1/3x+5, find y when x = -3
Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.
Step-by-step explanation:
a graphing calculator is more accurate then graphing by hand especially when you dont know the exactly were the point is
Answer:
a graphing calculator is just easier to graph the points than having to put every point on a piece of graph paper. the calculator also can tell you a bunch of other things like the domain or range or y intercept or x intercept. it’s just all along easier
Step-by-step explanation:
I have no clue if this is the sample response so watch out
Question 5
Calculate the perimeter of the sector
4cm
285
The arc length of the sector will be 19.89 centimeters.
What is the arc length of the sector?Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be
Arc = (θ/2π) 2πr
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The radius of the sector is 4 cm. And the central angle is 285°.
Then the perimeter of the sector is given as,
Arc = (285° / 360°) x 2 x 3.14 x 4
Arc = 19.89 cm
The arc length of the sector will be 19.89 centimeters.
More about the arc length of the sector link is given below.
https://brainly.com/question/15955580
#SPJ2
2x^3+7x^2-4x+7/x^2+2x+2
Answer:
Step-by-step explanation:
While on vacation in Lancaster, David went out for a dinner that cost $75. If sales tax in
Lancaster is 4% and David left a 20% tip on $75, what was the total cost of his meal?
Answer:
$93.
Step-by-step explanation:
Given that David went out for a dinner that cost $ 75, the price at which a sales tax of 4% was applied, and left a 20% tip on $ 75, to determine the total cost of his meal the following calculation must be performed:
75 + (75 x 0.2) + (75 x 0.04) = X
75 + 15 + 3 = X
93 = X
Therefore, the total cost he payed for his meal was $ 93.
Answer:
ok
Step-by-step explanation:
ok
Can someone help me with this pls, it's due very soon!!
What is the equation of a line that contains the point (3, 5) and hasba slope of 3 in slope-intercept form?
Answer:
y= 3x - 5
Step-by-step explanation:
y= mx+b is slope-intercept form,
m= slope (3)
b= y-intercept (5)
Therefore, y = 3x - 5 is your form.
If you wanted to calculate it, you'd input the x value of 3, like y = 3^3 - 5 to find your slope intercept.
Distribute – 2x (-1 + 3x).
Answer:
4x
Step-by-step explanation:
2x(-1+3)
distributive property: -2x+6x
-2x+6x=4x
Please find the slope of (-2, 4) and (3, -5)
Answer:
The slope of the line = m = -9/5
Step-by-step explanation:
Given the points
(-2, 4)(3, -5)Determining the slope between (-2, 4) and (3, -5)
(x₁, y₁) = (-2, 4)
(x₂, y₂) = (3, -5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-5 - 4] / [3 - (-2)]
= [-9] / [3 + 2]
= -9/5
Thus, the slope of the line = m = -9/5
Answer:
m = -9/5
Step-by-step explanation:
Taking (-2,4) as (x1,y1), and
Taking (3,-5) as (x2,y2)
Using the slope (m) formula:
[tex]m = \frac{y2-y1}{x2-x1}[/tex]
= (-5-4)/(3-(-2))
= -9/(3+2)
= -9/5
Hence, the slope is -9/5
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
What is this surface area?!!??
Answer:
132 in^2Step-by-step explanation:
4×3×1/2×2+10×4×3=132
Factor the polynomial completely.
x^4 – 256
Answer:
(x²+16)(X+4)(x-4)
Step-by-step explanation:
x⁴ can be written as (x²)²
256 can be written as (16)²
by identity. a²-b²= (a+b)(a-b) :
(x²+16)(x²-16)
x²-16 can be written as (x)²- 4²
by identity. a²-b²= (a+b)(a-b) :
(X+4)(x-4)
Therefore, the factors altogether would be
(x²+16)(x+4)(x-4)
What is the distance between (4, 6) and (5, 0)
Answer:
6 units
Step-by-step explanation:
Given data
x1=4
y1=6
x2=5
y2=0
substitute in the formula for the distance between two points
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((5-4)²+(0-6)²)
d=√((1)²+(6)²)
d=√36)
d=6
Hence the distance is 6 units
You might need:
Calculator
y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?
Answer:
[tex]\displaystyle m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (5, 0)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{1}{3}[/tex]Ealuate the following example
52 + 4(6 + 4 + 2)
The value of the expresson
Answer:
I think the answer is 100
Answer:
[tex]100[/tex]
Step-by-step explanation:
1. Simplify 6 + 4 to 10.
[tex]52 + 4 \times (10 + 2)[/tex]
2. Simplify 10 + 2 to 12.
[tex]52 + 4 \times 12[/tex]
3. Simplify 4 × 12 to 48.
[tex]48 + 52[/tex]
5. Simplify.
[tex]100[/tex]
therefor, the answer is 100.
Define/explain the symmetric property.
Step-by-step explanation:
The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .
Find the unit rate for 6 and 2/5 cookies in 4 minutes
Answer:
Step-by-step explanation:
6 2/5 cookies in 4 mins
To find the unit rate in minutes, divide 6 2/5 and 4 by 4.
In one minute is 1.6 cookies.
To find the unit rate in cookies, we divide by 6 2/5.
For one cookie, there are 5/8 minutes.
5. Os 384 participantes de uma campanha beneficente foram igualmente distribut
dos em 16 locais de arrecadação do município. Quantos participantes ficaram em
cada local de arrecadação?
Answer:
24
Step-by-step explanation:
384÷16= 24
HELPPP DUE IN FEW MINS ILL GIVE BRAINLESS
Answer:
C. Find the sum of all the values and then divide by the number of values
Step-by-step explanation: