Answer:
Option A
Step-by-step explanation:
From the question we are told that:
Sample size n=5900
Number of newly developed cases No.C=600
Generally the equation for Cumulative Incidence is mathematically given by
[tex]CI=\frac{No.C}{n}[/tex]
[tex]CI=\frac{600}{5900}[/tex]
[tex]CI=0.101[/tex]
[tex]CI= 10.1%[/tex]
Option A
I don't get this question i need some help please!!!
Answer:
2 sqrt(2) = x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = x/4
4 sin 45 = x
4 ( sqrt(2)/2) =x
2 sqrt(2) = x
Answer: D
Use sine to find the x-value:
[tex]sin(45)=\frac{x}{4} \\\\4*sin(45)=x\\\\x=\frac{\sqrt{2} }{2} *4=2\sqrt{2}[/tex]
Find two numbers that have 2, 5, and 7 as factors.
Step-by-step explanation:
One easy way to find a number that has all of these numbers as factors is to multiply them all together, so 2 * 5 * 7 = 10 * 7 = 70, which is one number.
To find the other number, we can multiply the number we already have by any integer greater than 1, e.g. 2, to get 70* 2= 140 as our other number, making our numbers 70 and 140
A camera with a price of d dollars is discounted 25%. write two expressions to represent the price of the camera with the discount.
Answer:
17d/20
Step-by-step explanation:
100-25=85
85/100×d
=17/20×d
=17d/20
If you were going to install a new window in your bathroom, what needs to be measured? What
else might you need to consider?
measure horizontally
measure vertically
measure depth..
Help please, thanks
Answer: B. X It passes the vertical line test :)
Step-by-step explanation:
What is the range of the function
Answer: [tex]-\infty < y < \infty[/tex] which is choice A
This is the set of all real numbers.
===========================================================
Explanation:
If you were to graph this function, then it spans infinitely upward and infinitely downward as well. That means that we can land on any y value we want, and that's why the range is the set of all real numbers.
Another approach we could take is to swap x and y to get [tex]x = \sqrt[3]{y+8}[/tex] which solves to [tex]y = x^3-8[/tex] . This is the inverse of the original function your teacher gave you. Recall that the domain and range swap roles when going from the original function to the inverse. What this means is that because the domain of
Domain of inverse = set of all reals
Range of original = set of all reals
Consider the following sample space, S, and several events defined on it. S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}. FH is ___________.
Answer:
FnH = {Meagan}
Step-by-step explanation:
Given the following sets and events:
S = {Albert, Betty, Abel, Jack, Patty, Meagan}
F = {Betty, Patty, Meagan},
H = {Abel, Meagan}
P = {Betty, Abel}.
In order to get FnH
The intersection of F and H is the element that is common to both sets. Hence for the set given, we can see that Meagan is common to both sets, therefore:
FnH = {Meagan}
Solve for x Round to the nearest tenth one place after the decimal !
Answer:
x = 14.4
Step-by-step explanation:
x is sin(angle 24/30)×24
how do we get the angle at 24/30 ?
by using the extended Pythagoras for baselines opposite other than 90 degrees.
c² = a² + b² - 2ab×cos(angle opposite of c)
in our example the angle 24/30 is opposite of the side 18.
so,
18² = 24² + 30² - 2×24×30×cos(angle 24/30)
324 = 576 + 900 - 1440×cos(angle 24/30)
324 = 1476 - 1440×cos(angle 24/30)
1440×cos(angle 24/30) = 1152
cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5
angle 24/30 = 36.9 degrees
x = sin(36.9) × 24 = 14.4
The weight of bags of fertilizer is normally distributed with a mean of 50 pounds and standard deviation of 6 pounds. What is the probability that a bag of fertilizer will weigh:
a. Between 45 and 55 pounds?
b. At least 56 pounds?
c. At most 49 pound?
Answer:
Following are the solution to the given points:
Step-by-step explanation:
Normal Distribution:
[tex]\mu=50\\\\\sigma= 6\\\\Z=\frac{X-\mu}{\sigma} \sim N(O,l)[/tex]
For point a:
[tex]P(X< 56)=\frac{(56-50)}{6}= \frac{6}{6}=1\\\\[/tex]
[tex]=P(Z<1)\ From\ \sigma \ Table=0.8413\\\\P(X>= 56)=(1-P(X< 56))=1-0.8413=0.1587\\\\[/tex]
For point b:
[tex]P(X< 49)=\frac{(49-50)}{6}=-\frac{1}{6} =-0.1667\\\\=P(Z<-0.1667)\ From\ \sigma \ Table\\\\=0.4338[/tex]
For point c:
To Find [tex]P(a\leq Z\leq b)= F(b) - F(a)\\\\[/tex]
[tex]P(X< 45)=\frac{(45-50)}{6}=\frac{-5}{6} =-0.8333\\\\P (Z<-0.8333) \ From \ \sigma \ Table\\\\=0.20233\\\\P(X< 55)=\frac{(55-50)}{6} =\frac{5}{6}=0.8333\\\\P ( Z< 0.8333) \ From \ \sigma\ Table\\\\=0.79767\\\\P(45 < X < 55) =0.79767-0.20233 =0.5953[/tex]
When the function f(x) = 4(2)x is changed to f(x) = 4(2)x − 13, what is the effect? (5 points)
Select one:
a. There is no change to the graph because the exponential portion of the function remains the same.
b. The x-intercept is 13 spaces higher.
c. The y-intercept is 13 spaces lower.
d. All input values are moved 13 spaces to the left.
Answer:
C
If x = o then f(0) = 4(2) * 0 = 0
If f(x) = 4(2) 0 - 13
then f(x) = -13 at x = 0
Answer:
it will indeed be c
Step-by-step explanation:
deesnuts
At a concession stand; three hot dogs and two hamburgers cost $9.75; two hot dogs and three hamburgers cost $10.25. Find the cost of one hot dog and the cost of one hamburger.
9514 1404 393
Answer:
hot dog: $1.75hamburger: $2.25Step-by-step explanation:
Let x and y represent the cost of a hot dog and a hamburger, respectively. The the two purchases can be described by ...
3x +2y -9.75 = 0
2x +3y -10.25 = 0
We can list the coefficients of these general-form equations in 2 rows, listing the first one again at the end:
3, 2, -9.75, 3
2, 3, -10.25, 2
Now, we can form differences of cross-products in adjacent pairs of columns:
d1 = (3)(3) -(2)(2) = 9 -4 = 5
d2 = (2)(-10.25) -(3)(-9.75) = -20.50 +29.25 = 8.75
d3 = (-9.75)(2) -(-10.25)(3) = -19.50 +30.75 = 11.25
Then the solutions are found from ...
1/d1 = x/d2 = y/d3
x = d2/d1 = 8.75/5 = 1.75
y = d3/d1 = 11.25/5 = 2.25
The cost of one hot dog is $1.75; the cost of one hamburger is $2.25.
_____
Additional comment
This is my simplification of the "cross-multiplication method" of solving a pair of linear equations. That method can be found described on web sites and in videos. This version, and the versions described elsewhere, are variations on Cramer's Rule and on the Vedic Maths method of solving equations. Each of those do similar differences of cross products, perhaps in less-easily-remembered fashion.
For a given pair of columns with coefficients ...
a b
c d
The cross-product we form is ad -cb.
30 POINTS PLEASE HELP
Answer:
Answer:
Solution given:
f(x)=5x-3
let
y=f(x)
y=5x-3
interchanging role of x and y
x=5y-3
x+3=5y
y=[tex]\frac{x+3}{5}[/tex]
$o,
f-¹(x)=[tex]\frac{x+3}{5}[/tex]
we conclude that
f-¹(x)≠g(x)
Each pair of function are not inverses.
g(x)=x/5+3
let g(x)=y
y=x/5+3
interchanging role of x and y
x=y/5+3
x-3=y/5
doing crisscrossed multiplication
5(x-3)=y
y=5x-15
g-¹(x)=5x-15
So
g-¹(x)≠f-¹(x)
Each pair of function are not inverses.
generate a table of values for the equation y = -4.5x - 0.5. Use values for x from -2 to 2, increment by 1 in each row
Answer:
x = -2: y = 8.5
x = -1: y = 4
x = 0: y = -0.5
x = 1: y = -5
x = 2: y = -9.5
Step-by-step explanation:
We find the numeric values for the function from x = -2 to x = 2.
x = -2:
[tex]y = -4.5(-2) - 0.5 = 9 - 0.5 = 8.5[/tex]
x = -1:
[tex]y = -4.5(-1) - 0.5 = 4.5 - 0.5 = 4[/tex]
x = 0:
[tex]y = -4.5(0) - 0.5 = 0 - 0.5 = -0.5[/tex]
x = 1:
[tex]y = -4.5(1) - 0.5 = -4.5 - 0.5 = -5[/tex]
x = 2:
[tex]y = -4.5(2) - 0.5 = -9 - 0.5 = -9.5[/tex]
Find the critical numbers (x-values) of the function y equals 2 x to the power of 5 plus 5 x to the power of 4 minus 19. Enter your answers as a comma-separated list. Round answers to 2 decimal places, if necessary.
Answer:
[tex]x=0,x=-2[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]y=2x^5+5x^4-19[/tex]
Generally the equation if differentiated is mathematically given by
[tex]y'=10x^4+20x^3-0[/tex]
Where
y'=0
[tex]10x^4+20x^3=0[/tex]
Factorizing,We have
[tex]x=0,x=-2[/tex]
Therefore
The critical points are
[tex]x=0,x=-2[/tex]
If y is 2,851, 1% of Y is
Excellent question, but let's rephrase it.
Suppose you have a square of surface area of 2851.
What would be a hundredth of such square?
What would be surface area of that hundredth.
Why hundredth? Because percent denotes hundredths cent is a latin word for hundred. You would usually encounter similar word that describes 100 years: century.
Well it is actually very easy. Just divide 2851 into 100 pieces and look at what is the area of one piece.
[tex]2851/100=285.1=y[/tex]
So a single piece has an area of 258.1.
Hope this helps. :)
Please help! Identify the recursive formula for the sequence 20, 28, 36, 44, . . . .
Answers below in picture:
Option A
Answered by GauthMath if you like please click thanks and comment thanks
By examining past tournaments, it's possible to calculate the probability that a school wins their first game in the national college basketball tournament. Each school's rank going into the tournament is a strong indicator of their likelihood of winning their first game.
Find the linear regression equation that models this data.
The linear regression model which models the data is :
y = -6.41053X + 103.83509
Obtaining the regression equation could be performed using either the formula method or using technology (excel, calculator, online regression calculators )
Using technology :
• Enter the data into the columns provided ;
The regression equation obtained for the data is : y = -6.41053X + 103.83509
Where ;
Slope = -6.41053
Intercept = 103.83509
X = Rank
y = probability percentage
Hence, from the linear regression equation obtained, we could see that a negative linear relationship exists between rank and probability as implied from it's negative slope value.
Learn more on linear regression : https://brainly.com/question/12164389
Question 8 of 53
How much would $700 be worth after 8 years, if it were invested at 5%
interest compounded continuously? (Use the formula below and round your
answer to the nearest cent.)
A(t) = P•e^rt
A. $5887.12
B. $1044.28
C. $6432.11
D. $38,218.71
9514 1404 393
Answer:
B. $1044.28
Step-by-step explanation:
Putting the given numbers into the given formula, we have ...
A(8) = $700•e^(0.05•8) ≈ $1044.28
Use the unit circle to find tan 60°.
a. square root 3/3
c. 2 square root 3/3
b. square root 3/2
d. square root 3
Please select the best answer from the choices provided
A
B
C
D
the answer is d ( square root 3 )
tan = oposite / adjacent
tan 60° = √3 / 1
= √3
Computers from a certain manufacturer have a mean lifetime of 62 months, with a standard deviation of 12 months. The distribution of lifetimes is not assumed to be symmetric. Between what two lifetimes does Chebyshev's Theorem guarantee that we will find at least approximately 75% of the computers
Answer:
Between 38 and 86 months.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
Mean of 62, standard deviation of 12.
Between what two lifetimes does Chebyshev's Theorem guarantee that we will find at least approximately 75% of the computers?
Within 2 standard deviations of the mean, so:
62 - 2*12 = 38
62 + 2*12 = 86
Between 38 and 86 months.
1/2 of 12=1/4 of?
1/3 of 90=2/3of?
Answer:
24 and 45
Step-by-step explanation:
Okay, now that I can answer this question with the right answers:
The easy way to do this is to first solve the left hand side of the equation.
1/2 of 12 is the same as 12/2 = 6.
So 6 = 1/4 * x
To solve for that unknown x, just multiply both sides by 4 to cancel out the fraction:
6*4 = 4* 1/4*x
24 = x
For the other equation, do the same thing:
1/3 * 90 = 90/3 = 30
30 = 2/3*x
30*3 = 3* 2/3 *x
90 = 2x
90/2 = 2x/2
45 = x
Given the number 2376.458 rounded to the following place values: 1) Rounded to the nearest hundred, 2) Rounded to the nearest whole unit, 3) Rounded to the nearest hundredth,
Answer:
1)2400
is the result of rounding 2376.458 to the nearest 100.
2) 2376
is the result of rounding 2376.458 to the nearest integer.
3)2376.46
is the result of rounding 2376.458 to the nearest 0.01
I hope this is right and it helps !!!!!!!!!!!!!!!!
Answer:
1(2400)
2(2376)
3(2376.46)
Step-by-step explanation:
it's just your fraction skills
Which equation is correct?
cos x° = opposite ÷ hypotenuse
sin x° = hypotenuse ÷ opposite
cos x° = hypotenuse ÷ opposite
sin x° = opposite ÷ hypotenuse
Answer:
sin x° = opposite ÷ hypotenuse
Step-by-step explanation:
SOH - CAH - TOA
SOH: Sin(θ) = Opposite / Hypotenuse
CAH: Cos(θ) = Adjacent / Hypotenuse
TOA: Tan(θ) = Opposite / Adjacent
Answer:
last option
Step-by-step explanation:
Sin is opposite/negative
calculate the volume of a cone knowing that it has a radius of 6cm and a height of 18cm
Answer:
V≈678.58cm³
Step-by-step explanation:
V=πr^2h/3=π·6^2·18/3≈678.58401cm³
Hope this helps! :D
A system of vertices connected in pairs
by edges. Definition
Simplify -3[5 - (-8 + 6)]
Answer: -21
[tex]-3[5 - (-8 + 6)]\\=-3[5 - (-2)]\\=-3[5+2]\\=-3(7)\\=-21[/tex]
Answer:
-21
Step-by-step explanation:
-3[5 - (-8 + 6)]
Inner parentheses first
-3[5 - (-2)]
Then remaining parentheses
-3[5 +2]
-3(7)
Multiply
-21
can you please answer this????
Answer:
x = 5
Step-by-step explanation:
I'm taking all bases as b so not typing it
2/3 log 125 = log (125^2/3) = log 25
1/2 log 9 = log (9^1/2) = log 3
So we can rewrite the equation as,
log x = log 25 + log 3 - log 15
or, log x = log (25×3) - log 15
or, log x = log 75 - log 15
or, log x = log (75/15)
or, log x = log 5
or, x = 5
Answered by GAUTHMATH
Helen is constructing a room. She is preparing a scale drawing of her room as 1 cm = 2.5 feet. Find the actual dimensions with the given model dimensions of 8 cm×5 cm.
20 feet×12.5 feet
15 feet×5.5 feet
10 feet×8 feet
8 feet×6.5 feet
Answer: 20 ft × 12.5 ft
Step-by-step explanation:
Since 1 cm = 2.5 ft,
8 cm = 8 · 2.5 = 20 ft5 cm = 5 · 2.5 = 12.5 ftTherefore, 8 cm × 5 cm = 20 ft × 12.5 ft
Identify the first 4 terms in the arithmetic sequence given by the explicit formula ƒ(n) = 8 + 3(n – 1).
Answer:
Step-by-step explanation:
f(n) = 8 + 3(n) - 3
f(n) = 5 + 3n
f(1) = 5 + 3(1)
f(1) = 8
f(2) = 5 + 3(2)
f(2) = 5 + 6
f(2) = 11
f(3) = 5 + 3*3
f(3) = 14
f(4) = 5 + 3*4
f(4) = 17
5. Sam wrote the expression below.
10 +15k
Rami said that this expression is equivalent to 5(3k + a)
Kenneth said this expression is equivalent toyk+6+8k+4.
Who is correct and why? Explain your thinking clearly,
Answer:
see below
Step-by-step explanation:
10 + 15k
Factor out the greatest common factor 5
5( 2+3k)
Rewriting
5(3k+2)
Rami is correct if a=2 then his expression is 5(3k+2)
Kenneth
yk+6+8k+4
Add the terms together
k(y+8) + 10
If y =7 then Kenneth is correct otherwise he is incorrect
