Answer:
[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 + 3x - 5[/tex]
Required
Find f(x + h) - f(x)
In functions:
[tex]f(x + h) = f(x) + f(h)[/tex]
So:
[tex]f(x + h) - f(x) = f(x) + f(h) - f(x)[/tex]
Collect Like Terms
[tex]f(x + h) - f(x) = f(x) - f(x)+ f(h)[/tex]
[tex]f(x + h) - f(x) = f(h)[/tex]
Solving for f(h)
[tex]f(h) = h^2 + 3h - 5[/tex]
So:
[tex]f(x + h) - f(x) = h^2 + 3h - 5[/tex]
Assume a test for a disease has a probability 0.05 of incorrectly identifying an individual as infected (False Positive), and a probability 0.01 of incorrectly identifying an individual as uninfected (False Negative). Assume furthermore that the probability of an individual being infected is 0.000001 (1 in 1 million). If a person tests positive for this disease, what is the probability of actually having the disease
Answer:
0.00002 = 0.002% probability of actually having the disease
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test
Event B: Having the disease
Probability of having a positive test:
0.05 of 1 - 0.000001(false positive)
0.99 of 0.000001 positive. So
[tex]P(A) = 0.05*(1 - 0.000001) + 0.99*0.000001 = 0.05000094[/tex]
Probability of a positive test and having the disease:
0.99 of 0.000001. So
[tex]P(A \cap B) = 0.99*0.000001 = 9.9 \times 10^{-7}[/tex]
What is the probability of actually having the disease
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{9.9 \times 10^{-7}}{0.05000094} = 0.00002[/tex]
0.00002 = 0.002% probability of actually having the disease
Find the area of the figure shown below and choose the appropriate result.
4 cm
6 cm
5 cm
3 cm
HELP PLEASE
ARM SPAM (INCHES) HEIGHT (INCHES)
58 60
49 47
51 55
19 25
37 39
44 45
47 49
36 35
41 40
46 50
58 61
65 68
1. Which variable did you plot on the x-axis and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
2. Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?
Step-by-step explanation:
we have to write all things by which which x-axis is viraivil with you and y axis is variable with you and spleen in our right one formula X is equals to X is equals to y y - behind honey bunny i y is equals to x minus b right and right that formula and write if you don't know and I will tell you another this video is it was thank you so much
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
B is the answer
Step-by-step explanation:
not staright line so not linear. but it is a function
Answer:
Step-by-step explanation:
it is non-linear; function
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
What is x? and how did you get it?
Answer:
x = 16
Step-by-step explanation:
step 1 - 64 + 100 + x = 180 (all triangles equals 180)
step 2 - 164 + x = 180
step 3 - 164 + x = 180
-164. -164
step 4 - 180 - 164 = 16
step 5 - 100 + 64 + 16 = 180
(I do this part to double check my work)
step 6 - x = 16
Answer:
x = 48Step-by-step explanation:
The ratio:
x/64 = (100 - 64)/xx² = 64*36x = 48Which polynomial is prime?
X4 + 3x2 - y2 - 3
X4 - 3x2 – x2 + 3
3x2 + x - 6x-2
3x2 + x - 6x + 3
Answer:
3x2 + x - 6x + 3
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Got it right on Edg.
5.7 is increased to 7.8
What is the percentage of increase?
Answer:
7.8%
Step-by-step explanation:
Answer:
The percentage of increase is 37%
Step-by-step explanation:
The way to find the percentage of increase is to divide The difference between the two numbers by the number before the increase
7.8 - 5.7 = 2.1
The difference between 7.8 and 5.7 is 2.1
So now we divided 2.1 by the number before the increase, in this case, 5.7
2.1 ÷ 5.7 = 0.3684
0.3684 rounded to the nearest hundredth is 0.37
Thus the percentage of increase is 37%
10 Six years ago Jon was one-sixth the age of his mother
and in four years time his age doubled and increased
by 10 will match his mother's age. How old is Jon
now?
Answer:
Jon is 11 years old
Step-by-step explanation:
We write the following equations describing the sentences of the problem, using the letter M to represent Jon's mom's current age, and j to represent his current age.
First sentence: "Six years ago Jon was one-sixth the age of his mother."
translates into:
J - 6 = (M - 6) / 6
Second sentence: "in four years time his age doubled and increased
by 10 will match his mother's age."
2 * (J + 4) + 10 = M + 4 which removing parentheses gives: 2 J + 18 = M + 4
We solve for "M" in the first equation
6 (J - 6) = M - 6
6 J - 36 = M - 6
M = 6 J - 30
and now use this result to substitute for M in the second equation
2 J + 18 = (6 J - 30) + 4
and work on solving for J
2 J + 18 = 6 J - 30 + 4
18 + 26 = 6 J - 2 J
44 = 4 J
J = 44 / 4
J = 11
The population of a city has increased by 15% since it was last measured. If the current population is 64,400 what was the previous population
Answer:
73600
Step-by-step explanation:
Add
a system of equations is shown on the graph below. what is the solution to the system of equations?
Answer:
Step-by-step explanation:
solution is the point of intersection, (0,1)
Solution of the system of equations is, (0, 1)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A system of equations is shown on the graph.
Now, We have seen that;
Both the graph intersect at a point (0, 1), which is solution of the graph.
Hence, Solution of the system of equations is, (0, 1)
Thus, Solution of the system of equations is, (0, 1)
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
i need help with this
Aspen has 10 pairs of white socks and 1 pair of red socks. What is the chance that Aspen wears a pair of black socks?
Answer:
no chance
Step-by-step explanation:
he doesn't have any black socks
Answer:
Step-by-step explanation:
Of the ten socks,
10/11 chance of wearing white socks
1/11 chance of wearing red socks
0/11 chance of wearing any OTHER color
Black socks fall into the final row, which is the OTHER color, meaning there is no chance he can wear black socks.
Find the circumference of a circle that has a diameter of 5 inches. Use 22/7 for pi.
15 in.
22/35 in.
15 3/7 in.
15 5/7 in.
Answer:
step 1. The circumference (c) of a circle is equal to the diameter of a circle x pi. c = d(pi) = 5pi
step 2. c = 5pi = 5(22/7) = 110/7 = 15 5/7.
complete the equation ×1/12=5/12+5/12+5/12
Answer:
x/12=15/12
x=15it is the answer
a license plate that has 3 numbers from 0 to 9 and 2 letters
Answer:
what's the question there
use the two points and the line to find the y-intercept
a. (-1, -1)
b. (-2, -6)
c. (- 3/4, 0)
d. (0, 4)
Answer:
0,4, That is the y intercept.
Step-by-step explanation:
Hope I helped :)
How to divide 8 by 3 the long way
The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R.
Answer:
The steps are more or less the same, except for one new addition:
Divide the tens column dividend by the divisor.
Multiply the divisor by the quotient in the tens place column.
Subtract the product from the divisor.
Bring down the dividend in the ones column and repeat
Step-by-step explanation:
The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R.
Please help please please
Answer:
C. y = 2x + 8
Step-by-step explanation:
✔️First, find the slope of the line that goes through points (-2, 4) and (6, 20):
Slope (m) = ∆y/∆x = (20 - 4) / (6 - (-2))
Slope (m) = 16/8
m = 2
✔️Find the y-intercept (b):
To do this, substitute (x, y) = (6, 20) and m = 2 into y = mx + b
Thus:
20 = 2(6) + b
20 = 12 + b
20 - 12 = b
8 = b
b = 8
✔️Write the equation by substituting m = 2 and b = 8 into y = mx + b
Thus:
y = 2x + 8
What are the coordinates of point A?
(8, –6)
(–6, 8)
(–5, 7)
(7, –5) marking brainiest
Answer:
Can you add an image of the points on a graph so I can help?
Plsss help mee quickkk !!
Answer:
2.5 overtime hours
Step-by-step explanation:
90$+195$=285
390-285=105$
105/42=2.5 overtime hours
Answer:
h=2.5 hours
Step-by-step explanation:
take the 30x3=90 then 195-90= 105 finally, divide 105 and 42 to get 2.5 hours!
30x3
195-90
105/2.5
hope this helps!
Which is greater, 0.28 or 0.205? Explain how you know.
Answer:
Step-by-step explanation:
0.28 is roughly the same as 0.280, which has 3 significant digits (same as 0.205 has 3 significant digits). It's easier when we compare numbers having the same number of decimal places.
Comparing 0.280 to 0.205, we see that the hundredths place of 0.280 (which is 8) is greater than the hundredths place of 0.205 (which is 0). Thus 0.28 is greateer than 0.205.
The expression 2 ( 3m + 6) is equivalent to ....
5m + 2
5m + 8
6m + 6
6m + 12
Help....
Answer:
2(3m + 6)= 2 × 3m + 2 × 6
= 6m + 12
ice cream is served for dessert if Gio serves himself and 3 friends half a cup of ice cream how many total pints did Gio and his friends eat?
Answer:
0.25 pints
Step-by-step explanation:
To find how many pints they ate, find the number of pints in half a cup.
In 1 cup, there are 0.5 pints.
This means in half a cup, there will be 0.25 pints.
So, Gio and his friends ate 0.25 pints
Select all that apply.
Which graphed lines represent direct variation functions?
line a
line 6
linec
lined
Answer:
C and D
Step-by-step explanation:
find the slope of the line
Answer:
1/2
Step-by-step explanation:
(2,1)(4,2)
x1-y1/x2-y2
slope:m=1/2
If the sum of 20 numbers is 440, find the mean of the numbers.
Answer:
22
Step-by-step explanation:
mean= sum of observations/no: of observations
mean=440/2=22
please mark me brainliest
a) Let P(t) be written as
P(t) = a cos[b(t - d)] + c
The minimum Pmin and the maximum Pmax of P(t) are given.
Pmin = 4
Pmax = 20
c = (Pmax + Pmin) / 2 = (20 + 4) / 2 = 12
|a| = (Pmax - Pmin) / 2 = (20 - 4) / 2 = 8
We now need to find the number of days t after January 1st at which P(t) is maximum by counting the days of the months from January to May and adding 21 days in June.
t = 31 + 28 + 31 + 30 + 31 + 21 = 172
We now use the period to find b (b > 0) as follows
period = 365 = 2π / b
hence b = 2π / 365
A cosine function without shift has a maximum at t = 0. P(t) has a maximum at t = 172. We can model P(t) by a cos(x) function shifted by 172 to the right as follows:
P(t) = 8 cos[(2π / 365)(t - 172)] + 12
check that P(t) is maximum at t = 172: P(172) = 8 cos[(2π / 365)(172 - 172)] + 12 = 8 cos[(0)] + 12 = 20
b) The graph of P(t) is shown below.
Answer:
perfect
Step-by-step explanation:
(x^2 - 4)(x^2 + x - 12) = 0
Answer:
is that a T or F
Step-by-step explanation:
Mhanifa please help me with this! I need it done ASAP! I will mark brainliest
Answer:
[tex]1) \to \: B \\ 2) \to A[/tex]
Answer:
The third one
Step-by-step explanation:
1. Escribe dos semejanzas dadas en la estructura de la
circunferencia y la elipse.
Un círculo es una forma curva cerrada que es plana. Es decir, existe en dos dimensiones o en un plano. En un círculo, todos los puntos del círculo están igualmente lejos del centro del círculo. Una elipse también es una forma curva cerrada que es plana.
~~Espero que esto ayude~~