Answer:
Part A: 8x + 24
Part B: Expressions M and N are not equivalent for any value of x because if you do 8x + 24 = 8x + 10, the 8x will cancel out from both sides and you are left with 24 = 10, which is not true, and therefore has no solution.
Step-by-step explanation:
For Part A, to apply the Distributive Property, you multiple the 4 with both terms in the parentheses. So, you do 4(2x) + 4(6). This expression is equal to 8x + 24.
Hope this helped! :)
What is the level of measurement for each of the following variables? a. Distance students travel to class b. A classification of students by the state of birth c. A classification of students by ethnicity d. A classification of workers by industry e. Selling price of the Statistics textbook f. Student IQ ratings
Answer/Explanation:
There are basically 4 main levels of measurement or scales of measurement. They are:
1. Nominal scale: this deals with variables that are categorised, and numbers o i.e.r alphabets assigned are just for the sake of naming, and as such has no numeric value.
2. Ordinal scale: this scale is only used to show order or ranking if variables.
3. Interval scale: in this type of scale, numbers that are ordered have meaningful divisions.
4. Ratio scale: this can be like to interval scale, in that, the ordered numbers have meanings. However, unlike the interval scale, when zero is used, meaningful deductions can be made as zero is meaningful.
Therefore, level of measurement for the variables given in the question are as follows:
a. Distance students travel to class: ratio scale. I.e. zero in this scale is meaningful and would mean no distance was travelled
b. A classification of students by the state of birth: nominal scale, i.e. this only serves the purpose of categorization. The scale here has no numeric value,
c. A classification of students by ethnicity: nominal scale
d. A classification of workers by industry: nominal scale
e. Selling price of the Statistics textbook: ratio scale
f. Student IQ ratings: interval scale, i.e., zero in this scale is not meaningful.
Which is the same as moving the decimal point 3 places to the right in a decimal number
Answer:
Moving the decimal 3 places to the right in a decimal number is the same as multiplying the number by 1000.
Avicenna, a major insurance company, offers five-year life insurance policies to -65 year-olds. If the holder of one of these policies dies before the age of 70 , the company must pay out $24,200 to the beneficiary of the policy. Executives at Avicenna are considering offering these policies for $573 each. Suppose that for each holder of a policy there is a 2% chance that they will die before the age of and 70 a 98% chance they will live to the age of 70.
Answer:
The question is about the least amount to charge each policyholder as premium
The least premium is $484
Step-by-step explanation:
The least amount of premium to charge for this policy is the sum of the expected values of outcome of both instances of policyholder dying before the age of 70 and living after the age of 70 years
expected value of dying before 70 years=payout*probability=$24,200*2%=$484
Expected of living after 70=payout*probability=$0*98%=$0
sum of expected values=$484+$0=$484
Note that payout is nil if policyholder lives beyond 70 years
The premium of $573 means that a profit of $89 is recorded
A submarine is 48 m below sea level, and it descends 28 m.
How far below sea level is it?
Answer:
The submarine is 76 meters below sea level.
Step-by-step explanation: 48+28=76
If the sub is already 48 meters below sea level, and then it travels another 28 meters further down, you simply add 28 to 48.
4. Kevin is using his scanner to make a smaller version of the school logo to put in the yearbook.
The original is 7 by 10 inches. The reduced image is 5.25 by 7.5 inches. What is the scale
factor of the dilation?
Math Accelerated . Chapter 11 Congruence Similarity and Transformations
How would I show my work?
Answer:
scale factor 2.5
Step-by-step explanation:
y varies directly as x.y = 52 when x=4. Find y when x= 10.
y=
(Simplify your answer.)
Answer:
9ha
shhsi a sa.anjwkw a zkaq
The initial number of bacteria in the dish was 1,150. The amount of bacteria doubles at the end of each hour. Write a function b(t) that would represent this relationship after t hours. Use this function to determine how many bacteria would be in the dish after 10 hours and write it only as a number without units.
Answer:
[tex]B(t) = 1150*(2)^{t}[/tex]
After 10 hours: 1,177,600
Step-by-step explanation:
The number of bacteria after b hours is given by the following equation:
[tex]B(t) = B(0)(1+r)^{t}[/tex]
In which B(0) is the initial number of bacteria and r is the rate that it increases.
The initial number of bacteria in the dish was 1,150. The amount of bacteria doubles at the end of each hour.
This means that [tex]B(0) = 1150, B(1) = 2*1150[/tex]
So
[tex]B(t) = B(0)(1+r)^{t}[/tex]
[tex]2*1150 = 1150(1+r)^{1}[/tex]
[tex]1 + r = 2[/tex]
[tex]r = 1[/tex]
So
[tex]B(t) = 1150*(2)^{t}[/tex]
After 10 hours:
[tex]B(10) = 1150*(2)^{10} = 1177600[/tex]
1,177,600 bacteria after 10 hours.
In the game of “rock, paper, scissors”, rock beats scissors, paper beats rock and scissors beats paper. If the
game is played between two people, on which game would you reasonably expect to win for the first time?
a. 1st game c. 3rd game
b. 2nd game d. 4th game
Answer:
C because you would have completed every outcome
In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point)
Answer:
D. 50
Step-by-step explanation:
130+x=180
x=50
1.(09.05
Pizza delivery times at Pizza Time are normally distributed with a mean time of 27 minutes and a standard deviation of 3 minutes. Approximately what percent of pizzas are delivered between 24 and 30 minutes? (2 points)
32%
689
09
99.75
Answer:
About 68% (is that an answer choice?)
Step-by-step explanation:
In a normal distribution (a bell curve), about 68 percent of the data is in the range between one standard deviation below the mean to one standard deviation above. If your mean is 27, and the standard deviation is 3, then one deviation below to one above would be 27 - 3 to 27 + 3, or 24 - 30.
Question 13
Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime.
t2 – 2t + 4
a) (t – 4)(t – 4)
b) (t + 4)( t + 2)
c) prime
d) (t + 4)(t – 2)
Answer:
Step-by-step explanation:
Try completing the square: t^2 - 2t + 1 - 1 + 4 becomes (t - 1)^2 + 3. If we set this equal to zero we get (t - 1)^2 = -3. Normally we'd take the square root of both sides, but because that -3 is negative, this is not possible, and the square root of positive 3 is not integer. Thus, the correct response here is "prime."
29. Find the circumference.
11
a. 3.14
b. 69.08
c. 121
Answer:
b.69.08
Step-by-step explanation:
formula:
c=2(pi)r
c=2(pi)11
Answer:b
Step-by-step explanation:
radius=r=11
π=3.14
Circumference=2 x π x r
Circumference=2 x 3.14 x 11
Circumference=69.08
write an equation of the line that has a slope of 9 and y-intercept of -3
Answer: y = 9x - 3
That's y=mx + b, the usual slope intercept form of a line with slope m and y intercept b.
Step-by-step explanation:
The equation of a line is y = mx + b, where m is the slope and b is the y-intercept. We know that m = 9 and b = -3, and when we plug those in, we get y = 9x - 3. Hope this helps!
ASAP HELP PLEASE GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing!!
Answer:
C x = (-5+sqrt(-3))/2
D x = ( -5-sqrt(-3))/2
Step-by-step explanation:
Set the polynomial equal to zero
x^2 + 5x+7 =0
Subtract 7 from each side
x^2 + 5x+7-7 =-7
x^2 + 5x = -7
Complete the square by taking the coefficient of x and dividing by 2 and then squaring it
(5/2)^2 = 25/4
x^2 + 5x + 25/4 = -7+25/4
(x+5/2)^2 = -28/4 +25/4
(x+5/2)^2 = -3/4
Take the square root of each side
x+5/2 = ±sqrt(-3/4)
Subtract 5/2 from each side
x+5/2 -5/2 = -5/2±sqrt(-3/4)
x = -5/2±sqrt(-3/4)
x = -5/2±sqrt(-3)/2
x = (-5±sqrt(-3))/2
What type of triangle is shown in the image?
Acute scalene triangle
Obtuse scalene triangle
Acute isosceles triangle
Right isosceles triangle
Answer:
acute isosceles
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
just cause
There are 24 boys for every 36 girls
Answer:
2 boys for every 3 girls
Step-by-step explanation:
24/36 = 6/9 = 2/3, 2 boys for every 3 girls,
Answer:
I think this is what the question is looking for. I hope this helps.
if an ice cream truck drives fives 7 miles per hour, how many feet does the truck drive per minute?
Answer:
616 ft/min
Step-by-step explanation:
1 mile = 5280 feet
7 miles = 5280 x 7 = 36960
1 hr = 60 mins
thus 36960 / 60 = 616
David and Amy start at the same point and begin biking in different directions. David is biking west at a speed of 17 miles per hour. Amy is biking south at a speed of 15 miles per hour.
Answer: 1.01 hours. THIS IS CORRECT
SteIf you draw a figure to model the situation, you can think of them as starting at the origin (0,0). After t hours, David will be at the point (−17t,0), and Amy will be at the point (0,−15t):
A line segment on a coordinate plane.
A coordinate plane has an unlabeled horizontal x-axis and an unlabeled vertical y-axis. A line segment labeled D that falls from left to right extends from a solid circle at left-parenthesis negative 17 t comma 0 right-parenthesis to a solid circle at left-parenthesis 0 comma negative 15 t right-parenthesis. A point is plotted at left-parenthesis 0 comma 0 right-parenthesis. All plotted points are labeled with their coordinates.
Using the distance formula, we can find the distance between them as a function of time t:
D(t)=(x0−x1)2+(y0−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=(−17t−0)2+(0−−15t)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=289t2+225t2‾‾‾‾‾‾‾‾‾‾‾‾‾√=514t2‾‾‾‾‾√=t514‾‾‾‾√
(Note that we can say t2‾‾√=t and not |t| because in this question t>0). Setting this equal to 23 and solving for t, we find
t514‾‾‾‾√t=23=23514‾‾‾‾√≈1.01p-by-step explanation:
A 13-pound mixture of coffee that contains both decaffeinated and regular coffee costs $34. The decaffeinated coffee costs $2 per pound, and the regular coffee costs $3 per pound. (a) Let x be the weight of the decaffeinated coffee and y be the weight of the regular coffee. Write a system of equations whose solution gives the amount of each type of coffee in the mixture. (b) Use the method of substitution to solve the system of equations.
Answer:
Weight of decaf coffee = 5 pounds.
Weight of regular coffee = 8 pounds.
Step-by-step explanation:
(a) Let x be the weight of decaf coffee and y the weight of regular coffee. Then:
x + y = 13
2x + 3y = 34
(b) From the first equation x = 13 - y, so substituting for x in second equation:
2(13 - y) + 3y = 34
26 - 2y + 3y = 34
y = 34 - 26 = 8.
Substituting for y in the first equation:
x + 8 = 13
x = 5.
A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. Can such a system have a unique solution? Explain. Choose the correct answer below. A. No, it cannot have a unique solution. Because there are more variables than equations, there must be at least one free variable. If the linear system is consistent and there is at least one free variable, the solution set contains infinitely many solutions. If the linear system is inconsistent, there is no solution.
Answer:
No, it cannot have a unique solution. Because there are more variables than equations, there must be at least one free variable. If the linear system is consistent and there is at least one free variable, the solution set contains infinitely many solutions. If the linear system is inconsistent, there is no solution.
Step-by-step explanation:
the questionnaire options are incomplete, however the given option is correct
We mark this option as correct because in a linear system of equations there can be more than one solution, since the components of the equations, that is, the variables are multiple, leaving free variables which generates more alternative solutions, however when there is no consistency there will be no solution
To solve such problems we must know about the system of equations and underdetermined systems.
The system of equations doesn't have a unique solution.
Given to usStatement 1 - A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. SolutionWhen a system of equations has more variables than the equation, therefore, it has fewer rules to curb the variables, giving the variables more freedom to take up values from their respective domain(Usually it is a set of real numbers), in such a condition the system of equations has infinite solutions. This kind of system is known as an underdetermined system.
Hence, the system of equations doesn't have a unique solution.
Learn more about the system of equations:
https://brainly.com/question/26197467
You score a 65% on your AP Statistics Exam and a 78% on your Economics Exam. The AP Statistics scores were normally distributed with an average of 60% and a standard deviation of 6%. The Economics scores were also normally distributed with an average of 75% and standard deviation of 2.5%. In which class did you perform better relative to the class average? Be sure to justify your answer.
Answer:
His economics grade had a higher z-score, so you performed better relative to the class average in economics.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In which class did you perform better relative to the class average?
In whichever class you had the higher z-score.
Statistics:
Scored 65, mean 60, standard deviation 6. So [tex]X = 65, \mu = 60, \sigma = 6[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{65 - 60}{6}[/tex]
[tex]Z = 0.83[/tex]
Economics:
Scored 78, Mean 75, Standard deviation 2.5. So [tex]X = 78, \mu = 75, \sigma = 2.5[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{78 - 75}{2.5}[/tex]
[tex]Z = 1.2[/tex]
His economics grade had a higher z-score, so you performed better relative to the class average in economics.
Factor the expression. d2 + 12d+ 36
Answer:
the factored expression is
(d+6)(d+6) or (d+6)^2
Step-by-step explanation:
In polar coordinates, the positive x-axis is called the __
axis.
Answer:
Polar axis.
Step-by-step explanation:
When looking at characteristics of a Polar Graph, the positive x-axis is called the Polar axis.
Answer:
polar axis.
Step-by-step explanation:
Part A - find the diameter of the circle?
Part B - Find the circumference of the circle ?
Answer:
A) 16 cm
B) 50.24 cm
Step-by-step explanation:
Part A:
The diameter is double the radius
The radius is half of the diameter
To work out the diameter you would simply multiply the radius of 8 cm by 2, this gives you 16 cm. This is because the radius is half of the length of the diameter.
1) Multiply 8 by 2.
[tex]8*2=16 cm[/tex]
Part B:
The formula for the circumference of a circle is : [tex]\pi *diameter[/tex]
To work out the Circumference you would multiply the diameter of 16 cm by pi, this gives you 50.24 cm. This is because if you were to substitute the value of the diameter into the formula you would get the same result.
1) Multiply pi by 16.
[tex]\pi*16=50.24[/tex]
Pi in this case is 3.14
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answer:
x = -2 or x = 1/3 thus: B & C
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + 7 x - 2 = 2 x - x^2
Subtract 2 x - x^2 from both sides:
3 x^2 + 5 x - 2 = 0
The left hand side factors into a product with two terms:
(x + 2) (3 x - 1) = 0
Split into two equations:
x + 2 = 0 or 3 x - 1 = 0
Subtract 2 from both sides:
x = -2 or 3 x - 1 = 0
Add 1 to both sides:
x = -2 or 3 x = 1
Divide both sides by 3:
Answer: x = -2 or x = 1/3
Giving brainliest for CORRECT awnser.
Answer:
64
Step-by-step explanation:
x^2 +16x+c
Take the coefficient of x
16
Divide by 2
16/2 =8
Square it
8^2 = 64
This is c
Answer:
c = 64
Step-by-step explanation:
The value for c is A. 64. That comes from the process of completing the square where you take half the linear term, square it, and add it in. Our linear term is 16. Half of 16 is 8, and 8 squared is 64.
Ryan randomly draws equal sized cards labeled with letters A, B, C, D and F from a hat and records the results in the table. Find the theoretical and experimental probabilities of randomly drawing a card that is labeled with the letter C. Frequency A 36, B 50, C 111, D 59, F 44 total 300
Answer:
We have 5 cards, and if we assume that the probability of selecting a given card at random is the same for all the cards, then the probability of randomly drawing the card C out of the 5 cards is equal to:
P = 1/5 = 0.20
Now, for the experimental probability, we can see that out of 300 draws, 111 times he drew the card C.
The experimental probability is:
Pe = 111/300 = 0.37
You can see that the experimental probability is bigger than the theoretical one, this may happen for two things.
Not enough draws: as the number of draws, we should expect to see that the experimental probability gets closer and closer to the theoretical one.
The cards have some difference: There is a chance that card C has a difference with the other cards, and this difference makes that when Ryan draws a card has a bigger probability of drawing this one.
10 X 5/11=
just multiplication get it right and get brainlyest
60pts or whatever it narrows it down to
The answer is 4.55
When you divide 5 by 11 you will get 0.45454545454 than when you multiply these numbers by 10 you will get 4.54545454545 and then the rounded answer is 4.55.
Answer: 4.54
Step-by-step explanation:
Write a recursive formula for the sequence
-1,-2,-3,-4...
Answer:
f(1) = -1
f(n) = f(n-1) -1
Step-by-step explanation:
The first term is -1. Each term is 1 less than the previous. These equations say that.
f(1) = -1
f(n) = f(n-1) -1
Write the following trigonometric ratio using an acute angle: tan 162 degrees
Answer:
-tan(18°) or tan(-18°)
Step-by-step explanation:
The angle given is in the 3rd quadrant, so the tangent is negative. The reference angle is ...
180° -162° = 18°
Tangent is an odd function, so ...
tan(-x) = -tan(x)
This means we can write the required ratio two ways:
tan(-18°)-tan(18°)