Answer:
The value of f(3) is -2.
Step-by-step explanation:
This is a recursive function. So
[tex]f(1) = 2[/tex]
Now, we find f(2) in function of f(1). So
[tex]f(1+1) = f(1)^2 - 3[/tex]
[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]
Now, with f(2), we can find the value of f(3).
[tex]f(2+1) = f(2)^2 - 3[/tex]
[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]
The value of f(3) is -2.
A counselor at the local chapter of Impulse Buyers Anonymous had just conducted a weekend workshop on how to be less suggestible. To find out if the workshop had any effect, she had each participant fill out a questionnaire that measured suggestibility, with high scores indicating high suggestibility. (Several such questionnaires exist.) Suppose that the national norm (mean) for the questionnaire that was used was 25 and that the participants produced the following statistics. Construct a 95 percent confidence interval and sentence of interpretation that tells about the effect of the workshop.ΣΧ = 242 ΣΧ2 = 5,413 N = 11
Answer:
(20.322 ; 23.678)
Step-by-step explanation:
Given that :
ΣΧ = 242 ; ΣΧ2 = 5,413 ; N = 11
Mean, m = ΣΧ / N = 242 / 11 = 22
Standard deviation = sqrt[(ΣΧ2/N) - (ΣΧ/N)²]
Standard deviation = sqrt[(5413/11) - (242/11)^2]
Standard deviation = sqrt(8.0909090) = 2.84
Confidence interval = m ± Zcritical * s/sqrt(n)
Zcritical at 95% = 1.96
Lower boundary = 22 - 1.96*2.84/sqrt(11)
Lower boundary = 22 - (1.96 * 0.8562922) = 20.322
Upper boundary = 22 + (1.96 * 0.8562922) = 23.678
What is 6 times the amount of water and liquid?
Answer:
6 time the amount of a liquid is 7
The point P (5, -1) is rotated 270° counterclockwise around the origin.
What are the coordinates of the resulting point P prime?
Answer:
(-1,-5) Hopes this helps you :)
Step-by-step explanation:
What is the relation of the slopes of perpendicular lines or segments?
A) congruent
B) both positive
C)opposite reciprocals
D)both negative
Answer:
C
Step-by-step explanation:
In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.
Answer: D both negative
Step-by-step explanation:
A recipe requires one quarter cup of milk as a base and then, In addition, 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relations.
Answer:
Step-by-step explanation:
Where are the choices?
m and f are the cups of milk and flour, respectively.
m = ¼f + 1
Consider 4 flips of an unfair coin where probability of heads is 0.40. Consider all tosses independent of each other. (a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses. (b) Determine the probability of H T H T in 4 tosses. (c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)
Answer:
a) 0.0256 = 2.56% probability of 4 heads.
0.1296 = 12.96% probability of 4 tails.
b) The probability is 0.0576 = 5.76%.
c) 6 outcomes given 2 heads in 4 tosses. 0.3456 = 34.56% probability of 2 heads in 4 tosses
Step-by-step explanation:
For each throw, we have these following probabilities:
0.4 = 40% probability of heads.
0.6 = 60% probability of tails.
(a) Compare the probability of 4 heads in 4 tosses and 4 tails in 4 tosses.
4 heads:
4 throws, each with 0.4 probability of heads. So
[tex](0.4)^4 = 0.0256[/tex]
0.0256 = 2.56% probability of 4 heads.
4 tails:
4 throws, each with 0.6 probability of tails. So
[tex](0.6)^4 = 0.1296[/tex]
0.1296 = 12.96% probability of 4 tails.
(b) Determine the probability of H T H T in 4 tosses.
H = 0.4, T = 0.6. So
[tex]p = 0.4*0.6*0.4*0.6 = 0.0576[/tex]
The probability is 0.0576 = 5.76%.
(c) Determine the number of outcomes that give us 2 heads in 4 tosses in any order. What is the probability of 2 heads in 4 tosses (use (b) and the number of outcomes)
Number of outcomes:
The possible outcomes are:
H - H - T - T
H - T - H - T
H - T - T - H
T - H - H - T
T - H - T - H
T - T - H - H
6 outcomes given 2 heads in 4 tosses.
Each with probability 0.0576, as found in b)
6*0.0576 = 0.3456
0.3456 = 34.56% probability of 2 heads in 4 tosses
I don’t understand how to find SN? Can someone help please?
pleaseeeee help (15 points)
Answer:
Step-by-step explanation:
what are the vocabulary words that u are supposed to use?
Which of the following words can be used to describe the triangle?
Answer:
It's a because an isosceles is a triangle!
math help lol say hi point for lolll
pls help
Which graph represents a linear function?
Answer: The second one
Step-by-step explanation:
Lineair is always a straight line, think of it as a “line in the air”
Answer:
the second one
Step-by-step explanation:
its a straight line
Which exponential equation is equivalent to this logarithmic equation? logx 5 + logx 12 = 7
Answer:
x^7 = 60
Step-by-step explanation:
log(a)+log(b)=log(ab) so
logx 5 + logx 12 = logx (5*12) = logx 60
logx a = b means x^b = a so x^7 = 60
The logarithm equation in exponential form is x⁷ = 60
What is an Exponential Equation?An exponential equation that can be represented in the form of abˣ.
The logarithm equation is:
logₓ 5 + logₓ 12 = 7
According to the rule of the logarithm,
log a + log b = log (ab)
logₓ ( 5 *12) = 7
logₓ ( 60) =7
According to the property of logarithm
logₓ ( a) = b
xᵇ = a
x⁷ = 60
To know more about Exponential Equation
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"Everyone has a financial plan, but not everyone has financial goals." Explain what you think this
Answer:
Everyone has financial a plan, but not everyone knows what to do to make the plan work. Planning is different from putting it into action.
BRAINLYEST TO WHO EVER IS RIGHT!!!
How many zero pairs can be created in the model below?
O- 0
O- 1
O- 2
O- 3
Answer: -x because its more than one zero
Step-by-step explanation:
true or false???????
Answer:
true that trump = worst president
Step-by-step explanation:
Answer:
1.)A rhombus is a quadrilateral with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses.
2.) When all 4 sides of a rectangle are equal then the rectangle is a square. So, a rectangle can also sometimes be a square
3.)If you have a rhombus with four equal interior angles, you have a square. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.
4.)Yes. Every square is a closed figure, and every square has 4 straight sides, so every square is a quadrilateral.
Step-by-step explanation:
hope this helps <3
1/4x + 2/5x = 39
0.6x + 0.5 = 2.9
3/5x = 9
whoever can give me the answer with work will get branliest please help asap
Answer:
(a) [tex]x = 60[/tex]
(b) [tex]x = 2.64[/tex]
(c) [tex]x=15[/tex]
Step-by-step explanation:
Solving (a):
[tex]\frac{1}{4}x + \frac{2}{5}x = 39[/tex]
[tex]\frac{x}{4} + \frac{2x}{5} = 39[/tex]
Take LCM
[tex]\frac{13x}{20} = 39[/tex]
Multiply through by 20
[tex]20 * \frac{13x}{20} = 39 * 20[/tex]
[tex]13x = 39 * 20[/tex]
[tex]13x = 780[/tex]
Solve for x
[tex]x = 780/13[/tex]
[tex]x = 60[/tex]
Solving (b):
[tex]0.6x + 0.5x = 2.9[/tex]
This gives:
[tex]1.1x = 2.9[/tex]
Solve for x
[tex]x = \frac{2.9}{1.1}[/tex]
[tex]x = \frac{29}{11}[/tex]
[tex]x = 2.64[/tex]
Solving (c):
[tex]\frac{3}{5}x = 9[/tex]
Multiply both sides by [tex]\frac{5}{3}[/tex]
[tex]\frac{5}{3}*\frac{3}{5}x = 9 * \frac{5}{3}[/tex]
[tex]x = 9 * \frac{5}{3}[/tex]
[tex]x = \frac{9 *5}{3}[/tex]
[tex]x = \frac{45}{3}[/tex]
[tex]x=15[/tex]
A baker has 6.8 kilograms of flour. She buys another 1.5 kilograms of flour. She uses 1.2 kilograms to make cupcakes and 0.8 kilograms to make cookies.
How much flour does the baker have left?
3.3 kg
4.8 kg
6.3 kg
8.7 kg
Answer: 6.3
Step-by-step explanation:
6.8 +1.5 -1.2 -0.8= 6.3
Pls someone help I don’t get this
Answer:
its 8
Step-by-step explanation:
first divide 16 by pi which is 3.14
then divide your answer by 2 after that.
At a student council meeting, there was a total of 65 students present. Of those students, 35 were female.
a. By what percent is the number of females greater than the number of males? Round your answer to the nearest tenth.
35 divided by 65
b. By what percent is the number of males less than the number of females? Round your answer to the nearest tenth.
Answer:
a = 50 b = 50
Step-by-step explanation:
a. 35/65=0.53 - rounded to the nearest tenth would equal to 50.
b.
65-35=30
30/65 = .46
rounded to the nearest tenth equals to 50.
Hope this helps!
Read the scenario below. Then answer all three parts completely. Be sure to use complete sentences and/or show your work.
Naviah got a new job that requires her to commute. She drives at least 30 miles but less than 50 miles each week.
Part A. First write the compound inequality representing all possible disances in miles (x) Naviah could drive for 4 weeks.
Part B. Explain while you chose the symbols you used for the endpoints of the compound inequality in Part A.
Part C. Naviah buys at least 8 but no more than 12 gallons of gas each week. The price of gas ranged from $2.25 to $2.50 per gallon each week. Write a compound inequality to model all of the possible amounts of money (m) Naviah spends on gas each week. Show or explain all work in detail
Step-by-step explanation:
Part AAt least 30 miles but less than 50 miles each week.
Required inequality:
30 ≤ x < 50In 4 weeks:
120 ≤ 4x < 200Part B"At least" means equal or more than 30, hence 30 ≤ xLess than 50, hence x < 50Part CAt least 8 but no more than 12 gallons of gas each week, with the cost $2.25 to $2.50 per gallon.
Match the lowest and highest ends. This is converted as:
8*$2.25 ≤ m ≤ 12*$2.50Simplified:
$18 ≤ m ≤ $30The side Length of the base of a square pyramid is 30 centimeters.The height of the pyramid is 45 centimeters. What is the volume of the pyramid in cubic centimeters?
Answer:
v=l×h
l=30
h=45
v=30×45
v=75cm
Evaluate X + y? by replacing x with - 0.5 and y with - 0.25
Answer:
-0.75Step-by-step explanation:
x = -0.5y = -0.25x + y = (-0.5) + (-0.25) = -0.5 - 0.25 = 0.75MARK ME AS BRAINLISTSolve for the following proportion for v.
Answer:
20/ 11 and if u want it in decimal it's 1.818182
Answer:
v =5÷11×4
v=20÷11=
Step-by-step explanation:
1.82 is your answer may be it is wrong
Mekala has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Mekala's Jumble has 4 techno songs, 2 country songs, and3 jazz songs on it. Mekala plans to listen to 270 songs.
Complete the following statement with the best prediction.
Mekala will listen to...
Please choose from one of the following options.
a) Exactly 60 country songs
b) Close to 60 country songs but probably not exactly 60country songs
c)Exactly 210 country songs
d)Close to 210 country songs but probably not exactly 210 country songs
Answer:
answer is B
Step-by-step explanation:
♦️ANSWER NEEDED QUICK, SHOW YOUR WORK♦️
A seamstress uses 200 yards of fabric to make 150 dresses of the
same size. At this rate how many yards of fabric are needed to
make 1 dress?
Answer:
1 and 1/3 yard
Step-by-step explanation:
200 divided by 150 is equal to 4 divided by 3
using a fraction calculator i did
4 3 1
- / - = 1 -
1 1 3
Answer:
How many yards to make one dress? = 1.33
Step-by-step explanation:
This is a ratio problem (fractions) used to solve an unknown.
if 200yds makes 150 dresses then let x (your unknown) be the yds needed to make 1 dress.
200/150 = x/1
150*x = 200*1
150x = 200
150x/150 = 200/150
x = 200/150
x = 1.33333
Rodrigo acelera su bicicleta a razón de 0.9m/s2 bajo la acción de una fuerza de 94N ¿Cuál es la masa de ambos?
Answer:
no entiendo español
Step-by-step explanation:
no entiendo español
Which of the following multiplication problems has a product that is less than 3/8? Select three that are correct.
A) 3/8 x 1/2
B) 3/8 x 2/5
C) 3/8 x 3/2
D) 3/8 x 3/3
E) 3/8 x 3/8
F) 3/8 x 8/7
Answer:
... no
Step-by-step explanation:
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:
Choose the graph which represents the solution to the inequality:
3x + 8 ≥ 11
Answer:
x>1
Step-by-step explanation:
jayfeather friend me
Match each statement with the correct reasoning in the proof below given: AM = CM BM=DM
Answer: I think it’s cm = b, I think your image is very hard to see
Step-by-step explanation:
The given quadrilateral is a parallelogram.
What is a parallelogram?
A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
The proof is as follows;
STATEMENTS REASONS
1) AM = CM and BM = DM Given
2) m ∠ AMB = m ∠ DMC and
m ∠ AMD = m ∠ BMC Definition of Vertical angles
3) Δ AMB ≅ Δ DMC and
Δ AMD ≅ Δ BMC By SAS congruency criterion
4) AB = CD and
BC = AD BY CPCTC
5) ABCD is a parallelogram If both pairs of opposite sides of a
quadrilateral are congruent then it is
a parallelogram.
Hence, proved, ABCD is a parallelogram.
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