Answer:
[tex]b(a) =\frac{a}{7} -5[/tex]
Step-by-step explanation:
Given
[tex]A(b) = 14 * \frac{b + 5}{2}[/tex]
Required
Determine the inverse function b(a)
Write A(b) as a
[tex]a = 14 * \frac{b + 5}{2}[/tex]
Swap a and b
[tex]b = 14 * \frac{a + 5}{2}[/tex]
[tex]b = 7(a + 5)[/tex]
Divide both sides by 7
[tex]a + 5 = \frac{b}{7}[/tex]
Maka a the subject
[tex]a =\frac{b}{7} -5[/tex]
Swap a and b again
[tex]b =\frac{a}{7} -5[/tex]
Hence:
[tex]b(a) =\frac{a}{7} -5[/tex]
Suppose the true proportion of high school juniors who skateboard is 0.18. If many random samples of 250 high school juniors are taken, by how much would their sample proportions typically vary from the true proportion?
0
0.0006
0.024
0.148
6.07
Answer:
0.024
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Suppose the true proportion of high school juniors who skateboard is 0.18.
This means that [tex]p = 0.18[/tex]
Samples of 250 high school juniors are taken
This means that [tex]n = 250[/tex]
By how much would their sample proportions typically vary from the true proportion?
This is the standard error, so:
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]s = \sqrt{\frac{0.18*0.82}{250}}[/tex]
[tex]s = 0.024[/tex]
So 0.024 is the answer.
Hugo works in a shop.
His normal rate
of pay is £9.00 per hour.
When Hugo works on Sundays, he is paid overtime for each hour.
The overtime rate of pay is 1 1/3times his normal hourly rate.
Last weekend, Hugo worked 7 hours on Saturday and 4 hours on
Work out how money Hugo earned during that weekend.
Answer: 111 dollars
Step-by-step explanation:
7 hours on Saturday and 4 hours on Sunday
Sunday gets paid 1 1/3, or 4/3 times more which is 9 x 4/3 = 12 per hour
Saturday is 9 per hour
7x9 (Saturday) + 4x12 (Sunday) = 111 dollars
The measure of central angle MNL is π radians, and the measure of the entire circle is 2π radians.
The ratio of the measure of the central angle to the entire circle measure is
Answer:
1 : 2
Step-by-step explanation:
π / 2π = 1/2
1 : 2
Choose the correct number in which 5 has a value of 5 tenths *
5.472
67.596
567.9
89.675
Step-by-step explanation:
I am thinking that the question means that there is a 5 one place to the right of the decimal. If this is correct then the answer is 67.596. One place to the right of the decimal is the tenths place.
Answer: 56.596
what's 1/9 of 22 hours
Answer:
[tex]2\frac{4}{9}[/tex] hours
Step-by-step explanation:
22 ÷ 1/9 = 2 4/9
Hope this helps
Combine like terms to create an equivalent expression.
3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65
Answer:
3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65
Step-by-step explanation:
Answer:
13.01d-2.65
Step-by-step explanation:
I got it right on Khan Academy just combine like terms and you have your answer.
Find the value of the angle θ rounded to 1 DP.
Answer:
ok first we add 9 and 29 together
38
now we add 90
128
so the other angle is
52
so we just use the formulas
and
Side a = 26.56371
Side b = 43.14662
Side c = 34
so the side with a x on it is 26.6
so know we have to do the same thing but not including the top part
ok so the side with x on it is 18.8
so 26.6-18.8=7.8
x=7.8
*WARNING* This shoud be close to the answer but may to up to a couple dp higher or lower sorry i just don't have time to be more accurate
Hope This Helps!!!
A pharmaceutical company collects data on the side effects participants report for a drug it is testing. The company finds that the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent. If the probability of experiencing a headache or heartburn is 8 percent, what is the probability of experiencing heartburn?
1 percent
5 percent
11 percent
15 percent
Answer:
the answer is 5 percent
Step-by-step explanation:
The probability of experiencing heartburn is 5 percent. Therefore, option B is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Given that, the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent.
Let Event A: Headache and Event B: Heartburn.
P(A)=0.05, P(A∩B)=0.02
The probability of experiencing a headache or heartburn is 8 percent, hence:
P(A∪B)=0.08
Now, P(A∪B)=P(A)+P(B)-P(A∩B)
0.08=0.05+P(B)-0.02
P(B)=0.05 or 5%
Therefore, option B is the correct answer.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ7
Determine whether each of the following problems
will have a rational or an irrational answer. Your
answer should be either the word "rational or
"irrational."
18 + 1
Answer:
irrational
Step-by-step explanation:
pi itself is irrational, so adding something to it makes no difference
Answer: Irrational
Step-by-step explanation: The sum of two rational numbers is
✔ always rational.
The sum of a rational number and an irrational number is
✔ never rational.
The product of a rational number and an irrational number is
✔ always irrational.
The product of two rational numbers is
✔ never irrational.
Determine whether each of the following problems will have a rational or an irrational answer. Your answer should be either the word “rational” or “irrational.”
18+pi = irrational
A repeating decimal + A fraction =rational
3/13 x sqrt 52 =irrational
HELP PLEASE!!!!!
A car owner decides to upgrade from tires with a diameter of 24.3 in to tires with a diameter of 26.1 in. If she doesn't update the onboard
computer, how fast will she actually be traveling when the speedometer reads 65 mph?
Although we want to solve for the linear speed of the upgraded tires, we do not have enough information for that. To fill up the formula v = rw, we only have the upgraded tires
r. but we do not know yet their w. However, since the speedometer counts rotations per hour and uses that to get the v of older tires, we can use that information to find the w
of the upgraded tires. Thus, let us solve first for w using the radius of the old tires and the reading of the speedometer.
Note: Do not forget that you are given the diameter and must still use that to get the radius. Also, do not forget that the diameter is given in inches, and you must convert that to miles, in order to be able to
cancel the time units. (1 mi = 63, 360 in)
Answer:
8yr7xy9c8ze6X9yc9y8d58f99ff68g
Sam bought a computer and printer for ₹ 1,15,499. The cost of the computer was ₹ 85,789. What was the cost of the printer?
₹ 29,710
₹ 2,01,228
₹9,73,389
Answer:
₹29,710
Step-by-step explanation:
We minus ₹ 85,789 from ₹ 1,15,499 to get ₹ 29,710
E)
The parallelogram WXYZ belwo is a rhombus. Find the measure of
angles 1, 2, 3, 4 and 5 given that angle WZY is 60°
w
2
3
1
4
Answer:
60
Answer:
1. 60°
2. 60°
3. 30°
4. 30°
5. 30°
Step-by-step explanation:
to find angleXYZ suntract 180 from 60
angle ZWX=120°
Angle WXY=60°
The diagnals divide the inteesections in half
The graph below shows the solution to which system of inequalities?
Answer:
A
Step-by-step explanation:
Sin0=12/37 find tan0
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
We're provide - Sin θ = [tex] \frac{12}{37} [/tex] which means 12 is the perpendicular & 37 is the hypotenuse [ Since Sin θ = [tex] \tt{ \frac{p}{h}} [/tex] ] . We're asked to find out tan θ ].[tex] \large{ \tt{❁ \: USING \: PYTHAGORAS \: THEOREM}} : [/tex]
[tex] \large{ \tt{❊ \: {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]
[tex] \large{ \tt{⇢ {p}^{2} + {b}^{2} = {h}^{2} }}[/tex]
[tex] \large{ \tt{⇢ \: {b}^{2} = {h}^{2} - {p}^{2} }}[/tex]
[tex] \large{ \tt{⇢ \: {b}^{2} = {37}^{2} - {12}^{2} }}[/tex]
[tex] \large{ \tt{⇢ \: {b}^{2} = 1369 - 144}}[/tex]
[tex] \large{ \tt{ ⇢{b}^{2} = 1225}}[/tex]
[tex] \large{ \tt{⇢ \: b = \sqrt{1225}}} [/tex]
[tex] \large{ \tt{⇢ \: b = 35 \: \text {units}}}[/tex]
Now , We know - Tan θ= [tex] \tt{ \frac{perpendicular}{base} }[/tex]. Just plug the values :[tex] \large{ \tt{➝ \: Tan \: \theta = \frac{p}{b} = \boxed{ \tt{ \frac{12}{35} }}}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
hey guys ... just want to make this answer sure... subtract 2x²+3x+6 from 3x²+5x+7=? A)x²+2x+1 or
B)x²+8x+13
Answer:
answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
3x² + 5x + 7 - (2x² + 3x + 6) ← distribute terms in parenthesis by - 1
= 3x² + 5x + 7 - 2x² - 3x - 6 ← collect like terms
= x² + 2x + 1 → A
Are lines l & k parallel?
Answer:
yes both lines have a slope of 2, so they are parallel.
Step-by-step explanation:
Solving three variables systems of equations
Answer:
D
Step-by-step explanation:
bbbbuujbhhtdddfyuuiiiiiooohhgff
Answer:
D...
Step-by-step explanation:
d is the answer hope it helps
Giulio holds a bag of 70 marbles in his hands. Jim blindfolds Giulio and keeps adding marbles to Giulio's bag, one at a time. However, Giulio notices the difference in the weight only after Jim has added 5 marbles. They now repeat the same experiment with a bag of 140 marbles. This time, Giulio notices the difference in the weight only after Jim has added 10 marbles. This scenario BEST illustrates:
Answer:
Weber's Law
Step-by-step explanation:
Weber's law States that it is a mathematical model of the difference threshold stating that the magnitude needed to detect a physical change in a stimulus is proportional to the absolute magnitude of that stimulus. Thus, the more intense the stimulus, the greater the change that must be made in it to be noticed.A deck of cards is made up of 4 suits: clubs, diamonds, hearts, and spades.
Each suit has 13 cards with
this range: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and A.
If you are trying to calculate the probability of getting an even number when
picking one card from a normal deck, what is the size
of the sample space?
O A. 52
B. 5
C. 13
D. 26
Answer:
i think the answer is c cuz theres 36 number cards
Direction: Fill the missing terms. Write your answer on the space provided.1. .An _______ is a data collection method where you as a researcher change somevariables and observe their effect on other variables.2. A __________ is a data collection method where you select a sample of respondentsfrom a large population in order to gather information about that population.3. __________, when you use this method, you meet with the respondents face to faceand ask questions.4. In an __________ method, the data from the field is gathered with the help ofobservation by the observer.5. ___________ is sent ( by post or by mail) to the persons concerned with a requestto answer the questions and return the questionnaire.6. ___________.It is a process by which the researcher collects/gathers theinformation needed to answer the research problem.7. __________ It is very similar to the questionnaire method. The main differenceis that the schedule is filed by the enumerator who is specifically appointed for thepurpose.8. __________ One who goes to the respondents, asks them the questions from thequestionnaire in the order listed, and records the responses in the space provided.9. __________are those which have already been gathered by someone else andwhich have through some statistical analysis.10. . ___________ are those which are gathered for the first time and are original incharacter.
Answer:
An experiment is a data collection method where you as a researcher change somevariables and observe their effect on other variables.A surveys is a data collection method where you select a sample of respondentsfrom a large population in order to gather information about that population.☞☜ ☞☜ ☞☜ Data collection It is a process by which the researcher collects/gathers theinformation needed to answer the research problem.☞☜ ☞☜ Secondary data are those which have already been gathered by someone else andwhich have through some statistical analysis.Primary data are those which are gathered for the first time and are original incharacter.Step-by-step explanation:
lm.ao I don't know 3,4,5,7,8 I'm sincerely apologise for this!!
•| jess bregoli |•#keep learning!!
Answer:
Here is your Answer : )
Step-by-step explanation:
1. experiment
2. survey
3. Interview
4. observation
5. questionnaire
6. Data collection
7. Schedule
8. Manager
9. primary data
10. Primary data
Plz mark as brainiest this took long time
Hope U like it : )
help help help help help !!!!!!
Answer:
Step-by-step explanation:
The graph represents step function.
That is C(x) = [ x ],
Evaluate C( 3 )
Cost at x = 3 , C( 3 ) = 7
Which segments have equal
lengths?
The segment that has equal length are known as congruent segment
Answer: corresponding segments
Step-by-step explanation:
Yashoda and Ingrid shared a sum of money in the ratio 3:2, respectively. Ingrid
received $1200. What was Yashoda's share?
Answer:
Yashoda got 1800
Step-by-step explanation:
Yashoda : Ingrid
3 : 2
Ingrid got 1200
Divide this by 2
1200/2 = 600
Multiply each side by 600
Yashoda : Ingrid
3*600 : 2*600
1800 : 1200
Yashoda got 1800
Topic: Modeling exponential functions
Kathy plans to purchase a car that depreciates
(loses value) at a rate of 14% per year. The initial
cost of the car is $21,000. Which equation
represents the value, v, of the car after 3 years?
1) v = 21,000(0.14)
2) v = 21,000(0.86)
3) v= 21,000(1.14)
4) v= 21,000(0.86)(3)
Answer:
Step-by-step explanation:
The standard form equation for this type of problem is
[tex]y=a(b)^x[/tex] where a is the initial value, b is the rate of depreciation, and x is the number of years in question. Because the value of the car is going down, b can also be written as (1 - r) where r is the rate of depreciation. For us, then, the equation will look like this:
[tex]y=a(1-r)^x[/tex] and filling in:
[tex]y=21000(1-.14)^3[/tex] which in simplified form is
[tex]y=21000(.86)^3[/tex] which I'm assuming is how choice 4 should look.
What is the value of x in the diagram?
Answer:
x=5
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2+ ( 2x+2)^2 = (2x+3)^2
FOIL the squared terms
x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9
Combine like terms
5x^2+8x +4 = 4x^2 +12x +9
Subtract 4x^2 +12x +9 from each side
5x^2+8x +4 -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9
x^2 -4x -5 =0
Factor
(x-5) (x+1) = 0
Using the zero product property
x=5 x=-1
But x cannot be negative or we would have negative length
x=5
tion 9 of 10
10 Points
Two sides of a triangle have lengths 4 and 8. Which of the Two sides of the triangle have lengths of 4 and 8. Which of the following can NOT be the length of the third side?
A. 7
B. 4
C. 5
D. 6
Answer:
B. 4
Step-by-step explanation:
the sum of two sides of a triangle should be longer than one other side
in this given figure find the value of x
QUESTION:- find the value of x
ANSWER:-[tex]180 - 6x + 180 - 5x + 180 - 4x = 180 \\ 360 + 180 - 15x = 180[/tex]
[tex]360 - 15x = 180 - 180 \\ 360 = 15x \\ 24 \degree = x[/tex]
Answer:
x = 24
Step-by-step explanation:
The exterior angles of the triangle sum to 360° , that is
5x + 4x + 6x = 360
15x = 360 ( divide both sides by 15 )
x = 24
PLEASE HELP - WILL MARK BRAINLIEST w/ explanation (see attachment)
Answer:
∠ DOC = 26°
Step-by-step explanation:
The secant- secant angle DOC is half the difference of the intercepted arcs, that is
∠ DOC = [tex]\frac{1}{2}[/tex] (AB - CD) = [tex]\frac{1}{2}[/tex] (82 - 30)° = 0.5 × 52° = 26°
[tex](x^{2} +x-3): (x^{2} -4)\geq 1[/tex]
Answer:
[tex]x>2[/tex]
Step-by-step explanation:
When given the following inequality;
[tex](x^2+x-3):(x^2-4)\geq1[/tex]
Rewrite in a fractional form so that it is easier to work with. Remember, a ratio is another way of expressing a fraction where the first term is the numerator (value over the fraction) and the second is the denominator(value under the fraction);
[tex]\frac{x^2+x-3}{x^2-4}\geq1[/tex]
Now bring all of the terms to one side so that the other side is just a zero, use the idea of inverse operations to achieve this:
[tex]\frac{x^2+x-3}{x^2-4}-1\geq0[/tex]
Convert the (1) to have the like denominator as the other term on the left side. Keep in mind, any term over itself is equal to (1);
[tex]\frac{x^2+x-3}{x^2-4}-\frac{x^2-4}{x^2-4}\geq0[/tex]
Perform the operation on the other side distribute the negative sign and combine like terms;
[tex]\frac{(x^2+x-3)-(x^2-4)}{x^2-4}\geq0\\\\\frac{x^2+x-3-x^2+4}{x^2-4}\geq0\\\\\frac{x+1}{x^2-4}\geq0[/tex]
Factor the equation so that one can find the intervales where the inequality is true;
[tex]\frac{x+1}{(x-2)(x+2)}\geq0[/tex]
Solve to find the intervales when the equation is true. These intervales are the spaces between the zeros. The zeros of the inequality can be found using the zero product property (which states that any number times zero equals zero), these zeros are as follows;
[tex]-1, 2, -2[/tex]
Therefore the intervales are the following, remember, the denominator cannot be zero, therefore some zeros are not included in the domain
[tex]x\leq-2\\-2<x\leq-1\\-1\leq x<2\\x>2[/tex]
Substitute a value in these intervales to find out if the inequality is positive or negative, if it is positive then the interval is a solution, if it is negative then it is not a solution. This is because the inequality is greater than or equal to zero;
[tex]x\leq-2[/tex] -> negative
[tex]-2<x\leq-1[/tex] -> neagtive
[tex]-1\leq x <2[/tex] -> neagtive
[tex]x>2[/tex] -> positive
Therefore, the solution to the inequality is the following;
[tex]x>2[/tex]
Find the missing side or angle.
Round to the nearest tenth.
A=60°
b=50
C=48
a=[ ]
Answer:
202
Step-by-step explanation:
360 - 60+50+48
360-158
= 202
Answer:
The answer would be 49
Step-by-step explanation:
Trust