A.if all 110 million households spent the same additional dollars on appliances, electronics, and furniture as the sample 30,000 rebate receiving households did so, how much did the aggregate consumption increase?
B. If the MPC was 0.9, how much would the cumulative spending increase as a result?
Answers
Answer:
Step-by-step explanation:
B. 10010 million
C. 100100
Related Questions
Which of the following functions has a factor of x−7?
f(x)=x3−16x2+53x+63
f(x)=x3−2x2−73x−70
f(x)=x3−16x2+53x+70
f(x)=x3−2x2−73x−77
Answers
According to the question, the function that has a factor of x - 7 is f(x) = x³ - 16x² + 53x+ 70
If x - a is a factor of a function f(x), then f(a) = 0
For x - 7 to be a factor of f(x), f(7) must be equal to zero.
For f(x) = x³ - 16x² + 53x+ 70
f(7) = 7³ - 16(7²) + 53(7) + 70
f(7) = 343 - 16(49) + 53(7) + 70
f(7) = 343 - 784 + 371 + 70
f(7) = 0
Since f(7) = 0 for f(x) = x³ - 16x² + 53x+ 70, x - 7 is a factor of f(x) = x³ - 16x² + 53x+ 70
Learn more here: https://brainly.com/question/19273656
The probability of an economic decline in the year 2020 is 0.23. There is a probability of 0.64 that we will elect a republican president in the year 2020. If we elect a republican president, there is a 0.35 probability of an economic decline. Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president. Use this information to answer the following four questions:
1 Are R and D independent events?
2 What is the probability of electing a Republican president and an economic decline in 2020?
3 If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?
4 What is the probability of economic decline or a Republican president elected in 2020 or both?
Answers
Answer:
1) D and R are NOT independent events
2) The probability of electing a Republican president and an economic decline in 2020 is 0.224
3) If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739
4) the probability of economic decline or a Republican president elected in 2020 or both is 0.646
Step-by-step explanation:
Let "D" represent the event of an economic decline, and "R" represent the event of election of a Republican president
Given that;
P(D) = 0.23
P(R) = 0.64
Conditional P(D | R) = 0.35
1) Are R and D independent events?
we know that two events A & B are independent events if; P(B | A) = P(B)
here, P(D | R) = 0.35 and P(D) = 0.23
so; P(D | R) ≠ P(D)
Therefore D and R are NOT independent events
2) The probability of electing a Republican president and an economic decline in 2020;
we know that;
P(D | R) = P(D ∩ R) / P(R)
we substitute
0.35 = P(D ∩ R) / 0.64
P(D ∩ R) = 0.35 × 0.64
P(D ∩ R) = 0.224
Therefore, The probability of electing a Republican president and an economic decline in 2020 is 0.224
3) If we experience an economic decline in 2016, what is the probability that a Republican president will have been elected in 2020?
P(R | D) = P(D ∩ R) / P(D)
we substitute
P(R | D) = 0.224 / 0.23
P(R | D) = 0.9739
Therefore, If we experience an economic decline in 2016, the probability that a Republican president will have been elected in 2020 is 0.9739
4) the probability of economic decline or a Republican president elected in 2020 or both
P(D ∪ R) = P(D) + P(R) - P(D ∩ R)
we subtitute
P(D ∪ R) = 0.23 + 0.64 - 0.224
P(D ∪ R) = 0.646
Therefore, the probability of economic decline or a Republican president elected in 2020 or both is 0.646
if CORRECT answerS then good review
Answers
Answer:
number 8 is D) 78.7 in.
and number 9 is C) 63°
hope these are the answers you are looking for
Step-by-step explanation:
Three angles of a quadrilateral are 75,120, 90,then the fourth angle..
Answers
Answer:
75
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Sum of Angles in a Quadrilateral: 360Step-by-step explanation:
Step 1: Set up
75 + 120 + 90 + ∠4 = 360
Step 2: Solve
Add: 285 + ∠4 = 360[Subtraction Property of Equality] Subtract 285 on both sides: ∠4 = 752 One six-sided die and one sixteen-sided die are rolled. What is the probability of rolling an even number on the six-sided die and rolling a 16 on the other die?
0.229
0.167
0.031
0.063
Answers
Answer:
C
Hope that helps!
Step-by-step explanation:
if Sin 3x= Cos (x-60), find the value of x
Answers
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
A rectangle is inside a circle with a 5 cm radius.
What is the area of the shaded region?
Use 3.14 for π.
Enter your answer as a decimal
Answers
Answer:
Do it your self
Step-by-step explanation:
Gross
Answer:
30.5
Step-by-step explanation:
A number cube with the numbers 1 through 6 is rolled. Find the probability of rolling the number 4.
Answers
Answer:
1/6 chance of rolling a 4
Write 3.08 × 10-5 as an ordinary number.
Answers
Answer:
0.0000308
Step-by-step explanation:
there are 5 places that it has moved from.
The 6th number in the series 2, 4, 6, 8, 10, ... is
Answers
Answer:
the answer is 12! good luck!:)
Answer:The answer is (b) 12
Step-by-step explanation:
Hi, this is basically a simple addition series, and each number increases by 2. The First number is 2 Second number = 2 + 2 =4 Third number = 4 + 2 = 6 Fourth number = 6 + 2 = 8 Fifth number = 8 + 2 = 10 and Sixth number = 10 + 2 = 12 .
Hope this helps!
Felix divided his shirts into three equal groups. Evaluate when s = 18.
Answers
Answer:
3 and 6.
Step-by-step explanation:
Write and evaluate the expression. Then, check all that apply.
Felix divided his shirts into three equal groups. Evaluate when s = 18.
The expression is
The expression is
The expression is s/3
The expression is
The answer is
The answer is 6.
There are 81 people protesting the destruction of the rain forests. There are 36 males, 23 of whom are students, and 18 female nonstudents. How many female students are protesting?
Answers
Answer:
27
Step-by-step explanation:
Given that the total number of people protesting is 81. These people are either male - Student or non student or Females (student or non students)
Given that there are 36 males then number of females
= 81 - 36
= 45
If there are 18 females non students then the number of females protesting that are students
= 45 - 18
= 27
The cost c varies directly as the numbers n of pencils is written as A. c = kn B. k+ cn C. n = k/c D. c =k/n
Answers
Answer:
A. c = kn
Step-by-step explanation:
The cost c varies directly as the numbers n of pencils
This means that c is a multiplication of a constant by n, which is the number of pencils. So the equation for the cost is given by:
[tex]c = kn[/tex]
In which k is the constant of proportionality, that is, the cost of each pencil. So the correct answer is given by option A.
High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places.
Part 1
Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure? It is not_______ appropriate to use the normal curve, since np = 7.4 ______< 10 and n (1 – p) = 29.6 2 10.
Part 2
A new sample of 82 adults is drawn. Find the probability that more than 32% of the people in this sample have high blood pressure. The probability that more than 32% of the people in this sample have high blood pressure is__________ X 5
Answers
Answer:
1. It is not appropriate to use the normal curve, since np = 7.4 < 10.
2. The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.
Step-by-step explanation:
Binomial approximation to the normal:
The binomial approximation to the normal can be used if:
np >= 10 and n(1-p) >= 10
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be 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.
Central Limit Theorem
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]
The proportion of U.S. adults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen.
This means, respectively, that [tex]p = 0.2, n = 37[/tex]
Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure?
np = 37*0.2 = 7.4 < 10
So not appropriate.
It is not appropriate to use the normal curve, since np = 7.4 < 10.
Part 2:
Now n = 82, 82*0.2 = 16.4 > 10, so ok
Mean and standard deviation:
By the Central Limit Theorem,
Mean [tex]\mu = p = 0.2[/tex]
Standard deviation [tex]s = \sqrt{\frac{0.2*0.8}{82}} = 0.0442[/tex]
Find the probability that more than 32% of the people in this sample have high blood pressure.
This probability is 1 subtracted by the pvalue of Z when X = 0.32. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.32 - 0.2}{0.0442][/tex]
[tex]Z = 2.72[/tex]
[tex]Z = 2.72[/tex] has a pvalue of 0.9967.
1 - 0.9967 = 0.0033
The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.
72
-) A 5-kilogram (kg) bag of rice is $9 and the 2-kg bag is $4.50. Calculate the unit price of each bag of rice.
Show the steps you used:
a) The large (5-kg) bag is $.
/per kg.
/per kg and the small (2-kg) bag is $
b) How much will you save per kilogram if you buy the larger bag of rice? $_
/per kg
opted from
Answers
Answer:
$1.8
$2.25
$0.45
Step-by-step explanation:
a)
Unit Price = Cost/Volume
= 9/5
= $1.8/Kg for the 5Kg
4.5/2
= $2.25/Kg for the 2Kg
b)
($2.25-$1.8) per kg
= $0.45
Find an explicit rule for each geometric sequence using subscript notation. Use a calculator and round your answer to the nearest tenth if necessary.
The fourth term of the sequence is 234. The sixth term is 104.
The explicit rule for the geometric sequence is an
Answers
Step-by-step explanation:
Geometric sequences are of the form a * b^x, where a and b are real constants.
We have a * b⁴ = 234 and a * b⁶ = 104.
Dividing the second equation by the first,
we get b² = 4/9, so b = 2/3.
When x = 4, a * b⁴ = 234.
=> a * (2/3)⁴ = 234, a = 1184.625
Hence the explicit rule
is a(n) = 1184.625 * (2/3)^n.
Answer:
Hence the explicit rule is a(n) 1184.625 *(2/3)^n.
- Functions F and A are defined by these equations below. Which function has a greater value when x is 2.5?
A. F(x) = 80-15x
B. A(x) = 25 + 10x
Answers
Answer:
The answer is D- A(x)=25+10x
Step-by-step explanation:
I cant really explain how i got the answer but i got it right
The function A(x) has greater value then F(x) for x = 2.5.
What is a function?A function is a relation between a independent variable and a dependent variable such that the value of dependent variable depends upon the independent one.
Given are two functions of [x] as follows -
F(x) = 80 - 15x
A(x) = 25 + 10x
We have the following functions -
F(x) = 80 - 15x
A(x) = 25 + 10x
Now, we will evaluate each function at x = 2.5.
F(2.5) = 80 - 15 x 2.5 = 42.5
and
A(2.5) = 25 + 10 x 2.5 = 50
It can be seen that A(2.5) > F(2.5)
So, the function A(x) has greater value then F(x) at x = 2.5
Therefore, the function A(x) has greater value then F(x) for x = 2.5.
To solve more questions on Evaluating functions, visit the link below-
https://brainly.com/question/24971874
#SPJ5
A student is able to finish 2 homework problems per hour. If they have already completed 4 problems, how many hours will it take for them to finish an assignment which has 18 problems total? Give your answer to two decimal places.
Answers
Answer:
Step-by-step explanation:
4+2t=18
2t=14
t=7 hours
Answer:
7.00 hours
Step-by-step explanation:
They already did 4 problems and need to do 18 problems in total.
18 - 4 = 14 problems
2 problems/ per hour
14 problems/ 7 hours
It will take them 7 hours to finish. Since you said "Give your answer to two decimal places." You could write it as 7.00 hours.
Estimate the product of 3.8 and 11.9 rounding.
Answers
Answer:
48
Step-by-step explanation:
round off 3.8 to 4 and 11.9 to 12 and multiply the values
a bank teller counted P1,250.00 in P 0.25 coin and P3,200.00 in P0.10 coins how many coins in all were counted
Answers
answer:
Step-by-step explanation:
1250 plus 0.25 equals 1250.25 plus 1250.25 plus 3200 equals 4450.25 plus 0.10 equals 4450.35
(giving brainiest)
answer this correctly
Answers
Answer:
A =224 in ^3
Step-by-step explanation:
Answer:
56in squared
Step-by-step explanation:
seven more than twice a number is -4
Answers
Answer:
-5.5
Step-by-step explanation:
[tex]2x+7=-4\\2x=-4-7\\2x=-11\\x=-5.5[/tex]
Answer:
-11/2
Step-by-step explanation:
Let the number be a
(2a)+7= -4
2a= -4-7
2a= -11
a= -11/2
I’ve been trying to figure out this question but I am not able to please help
Answers
Answer:
its C
Step-by-step explanation:
ik
Answer:
D
Step-by-step explanation:
Since the total degrees of a circle is 360 and half of a circle is 180, 1/4 of a circle is 90 or less, D is the answer :)
8/5 ÷ 3/5 = ??????????
Answers
Answer:
Step-by-step explanation:
8/3
What does 60/8 x 13?
Answers
My calculator says 97.5
Answer:
195/2
Step-by-step explanation:
60/8=15/2
15/2*13=195/2
The 10 members of a hiking club will walk 9 miles. Each person will carry the food pack for an equal distance. How far will each hiker carry the food pack?
Answers
Answer:
0.9 miles per member
Step-by-step explanation:
Total distance = 9 miles
Number of members = 10
If they are to carry the food back for an equal distance, we have to fin
Distance covered by a person with the food pack = Total distance / Number of members
Distance covered by a person with the food pack = 9 / 10 = 0.9 miles per member
Can anyone help me with 5-9?
Answers
Answer:
5. 1/4, 4/16
6. 4/5, 16/20
7. 1/3, 6/18
8. 2/9, 4/18
9. 1/3, 3/9
Step-by-step explanation:
Hope that helps!
Assume that the probability of a driver getting into an accident is 7.1%, the average cost of an accident is $14,886.0 , and the overhead cost for an insurance company per insured driver is $110 . What should the driver's insurance premium be?
Answers
Answer: $1166.91
Step-by-step explanation:
The following can be deduced from the question:
Average cost of an accident = $14,886.05
Probability of a driver getting into an accident = 7.1% = 7.1/100 = 0.071.
Overhead cost for insurance = $110
Therefore, the expected cost of an accident will be calculated as:
= Average cost of an accident × Probability of a driver getting into an accident
= $14,886.05 × 0.071
= $1056.91
Therefore, the driver's insurance premium will then be:
= $1056.91 + $110
= $1166.91
Find the measure of the numbered angles in each rhombus
Answers
Answer:
Angle 1 = 22°
Angle 2 = 68°
Angle 3 = 68°
Angle 4 = 90°
Step-by-step explanation:
It is a rhombus by the definition:
A rhombus is a quadrilateral whose all four sides are equal in length and opposite sides are parallel to each other. However, the angles are not equal to 90°.
The properties of rhombus is:
(1) Opposite angles are equal
(2) All sides are equal and, opposite sides are parallel to each other
(3) Diagonals bisect each other perpendicularly
(4) Sum of any two adjacent angles is 180°
By property (3):
Angle 4 = 90°
By (1) and properties of isosceles triangle in the top right triangle:
Angle 2 = Angle 3 = 68°
In the top triangle:
Angle 1 + Angle 2 + 90° = 180° (Angle sum of triangle)
Angle 1 = 22°
which is greater 1/4 or 0.75
Answers
Answer:
0.75 is greater
Step-by-step explanation:
1/4=0,25 and 0.75 is greater than 0,25
1/4 = 0.25
3/4 = 0.75
0.75 is greater than 1/4
