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?
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
Mila has 9 buttons. Mia has 225 buttons. Mia has how many times as Mila?
Answer:
25
Step-by-step explanation:
225 divided by 9 is 25
2) 1) A 6 ft tall lawn ornament standing next to a baby elephant casts a 18 ft shadow. If the baby elephant casts a shadow that is 12 ft long, then how tall is it?
Answer: 4 feet.
Step-by-step explanation:
Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3
Proportion from baby elephant to its shadow = x : 12ft
These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.
In order to solve this problem, we need to cross multiply. (Attached image)
So, 3x = 12.
By solving this equation, we find that x = 4
The height of the baby elephant is 4 feet.
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
20. A grocer sells mangos for $4 per pound and apples for $3 per pound. The grocer starts with
45 pounds of mangos and 50 pounds of apples each day. The grocer's goal is to make at
combinations of mangos and apples that could be sold to meet the goal. List two possible
combinations
Describe all possible solutions
Complete question :
A grocer sells mangos for $4 per pound and apples for $3 per pound. The grocer starts with
45 pounds of mangos and 50 pounds of apples each day. The grocer's goal is to make atleast $300 each day. What combinations of mangos and apples that could be sold to meet the goal. List two possible
combinations
Answer:
m = 45 ;a = 40
m = 45 ; a = 45
Step-by-step explanation:
Mangoes, m = $4
Apples, a = $3
Total :
45 pounds of mangoes
50 pounds of apple
4m + 3a ≥ 300
If m = 45
a = 40
4(45) + 3(40)
180 + 120 = 300
If m = 45 ; a = 45
4(45) + 3(45)
180 + 135 = 315
Hence, 2 possible combination :
m = 45 ;a = 40
m = 45 ; a = 45
For all possible solutions :
4m + 3a ≥ 300
Select the equation that has m = 34.87 as a solution.
A
m x 21 = 731.27
B
9m
323.83
m + 14 =
488.18
68 + m = 102.87
Answer:
look up
Step-by-step explanation:
solve for x
35+.8x=43-7x
Answer:
x = 1.02564
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 EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
35 + 0.8x = 43 - 7x
Step 2: Solve for x
[Addition Property of Equality] Add 7x on both sides: 35 + 7.8x = 43[Subtraction Property of Equality] Subtract 35 on both sides: 7.8x = 8[Division Property of Equality] Divide 7.8 on both sides: x = 1.02564241÷9 cevabı nedir ????
Answer:
26.7777778 or 26.78 rounded
Step-by-step explanation:
What is 50% of 20?.........................
Answer:
10
Step-by-step explanation:
50%, or 1/2 of 20 is 10.
Answer:
10!
Step-by-step explanation:
50% is half, so half of 20 is 10!
PLS HELP I WILL GIVE BRAINllESTFind the surface area of the rectangular prism.
2 mi
8 mi
1 mi
Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
the circle has been divided into 5 equal parts point point Tis the center of the circle.
5 ft 5 ft 4.5 ft 5 ft h 5 ft Find the area of the rhombus. [?] ft2
Answer:
56 ft square (Approx)
Step-by-step explanation:
Area of Rhombus= (1/2) * D1* D2 {D1 = 4.5; D2 = 5*5= 25}
= 1/2 * 4.5 * 25
= 56.25
= 56 ft square (Approx)
Answer:
22.5ft²
Step-by-step explanation:
4.5ft x 5ft = 22.5ft²
One of the legs of a right triangle measures 4 cm and the other leg measures 19 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
A2 + B2 = C2, so 4 squared + 19 squared = C2, 16 + 361 = 377. 377's square root is 19.4.
Step-by-step explanation:
The measure of the hypotenuse is 19.4 cm.
Given that, one of the legs of a right triangle measures 4 cm and the other leg measures 19 cm.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Let the measure of the hypotenuse be x.
Using Pythagoras theorem,
x² = 4² + 19²
⇒ x² = 16 + 361
⇒ x² = 377
⇒ x = √377
⇒ x = 19.4 cm
Therefore, the measure of the hypotenuse is 19.4 cm.
To learn more about the Pythagoras theorem visit:
https://brainly.com/question/21926466.
#SPJ2
About 20 raindrops will make one milliliter. How many raindrops would you need to fill a 3.5 liter bottle?
Answer:
Step-by-step explanation:
70
Explain the difference between (-5)squared and -5squared.
Answer:
The major difference between square and rectangle is that a square has all its sides equal whereas a rectangle has its opposite sides equal. In Geometry, we have learnt different types of shapes such as square, rectangle, cube, cone, cylinder, parallelogram, rhombus, and so on.
All these shapes can fall under any one of the categories such as two-dimensional shapes or three-dimensional shapes. All the shapes can share a few characteristics. But they have many different characteristics properties that differentiate the shapes from each other. In this article, let us discuss the difference between a rectangle and a square in detail.
1/4 + 2/3 = equals what
What is the percent of decrease from 1,000 to 90?
Answer:
91%
Step-by-step explanation:
Hope I helped:)
Question
A random sample of SAT scores has a sample mean ofă = 1060 and sample standard deviation of s = 195. Use the
Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.
Answer:
The approximate percentage of SAT scores that are less than 865 is 16%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1060, standard deviation of 195.
Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.
865 = 1060 - 195
So 865 is one standard deviation below the mean.
Approximately 68% of the measures are within 1 standard deviation of the mean, so approximately 100 - 68 = 32% are more than 1 standard deviation from the mean. The normal distribution is symmetric, which means that approximately 32/2 = 16% are more than 1 standard deviation below the mean and approximately 16% are more than 1 standard deviation above the mean. So
The approximate percentage of SAT scores that are less than 865 is 16%.
Homework: Ch 5.2 Practice A - MyLab
Score: 0 of 1 pt
1 of 3 (0 complete)
5.2.13
Assume a member is selected at random from the population represented by the graph Find the probability that the
member selected at random is from the shaded area of the graph Assume the variable x is normally distributed
SAT Critical Reading Scores
Q
200
510
0121
os
200
375
800
Score
The probability that the member selected at random is from the shaded area of the graph is (Round to four decimal places as needed)
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work out the surface area of this cylinder
Answer:
A=2πrh+2πr2=2·π·2·4+2·π·22≈75.39822
Step-by-step explanation:
tom and ben ordered a pizza for lunch. they each ate 1/3 of the pizza. how much pizza was eaten and how much pizza was left?
Answer:
they ate 1/3 and thrte is 2/3 left
Step-by-step explanation:
subtraction
One-third of the pizza will be left
Proportions and RatiosLet the total amount of pizza eaten be "x
Amount of pizza ate by Tom is 1/3 xAmount of pizza ate by Ben is 1/3 xTotal pizza ate = x/3 + x/3
Total pizza eaten = 2x/3
Amount of pizza left = x - 2x/3
Amount of pizza left = (3x-2x)/3
Amount of pizza left = x/3
Hence one-third of the pizza will be left
Learn more on ratio and proportion here: https://brainly.com/question/21602143
Answer this ASAP it’s due tomorrow again
Answer:
76 cm cubed
Step-by-step explanation:
2 x 2 x 4 = 16 cm cubed
3 x 4 x 5 = 60 cm cubed
Theodore hired a roofer for some work. on final bill he was charged a total of 642$ .425$ was listed for parts and rest for labor . if the hourly rate was 31$ how many hours of labor was needed ?
Answer:
7 hours
So you so 642-425= 217, then you do 217/31= 7
your answer is 7
What is 98x34x56÷5
Plz help me fast
Thanks in advance
Answer:
37318.4
Step-by-step explanation:
hope this helps
What is the slope of the line that passes through the points (2, -3) and (5, 1)
Answer:
Answer is (4) 4/3
Step-by-step explanation:
[tex]\frac{1- -3}{5-2}[/tex]
[tex]\frac{4}{3}[/tex]
Answer:
slope is 4/3
Step-by-step explanation:
1-(-3)/5-2
4/3
A = {a,b, {a), c, {a,b)
kümesi veriliyor
Buna gore asagidakilerden hangisi A kümesinin alt
kümelerinden biri değildir?
A) (a)
C) (a, b)
D
E) (b)
Answer:
Step-by-step explanation:
E.......................
Estimate the solution of the equation to the nearest integer, z² = 85.
A. 7
B. 8
C. 9
D. 10
(x2 - 4x + 3) + (3x2 – 3x - 5)
2.
(2m – 3+ 7m2) – (3 – 9m2 – 2m)
3.
(3a? – a + 3) + (4a2 – 5)
4.
(2x2 + 3y2 – 22) - (x2 - y2 - z2) + (4x2 – 3y2)
5.
Find the sum of (2x2 - 6x – 2) and (x2 + 4x).
( there are 5 different questions btw)
Answer:
(x - 2) • (4x + 1)
Step-by-step explanation:
f(x)=-5x^2+4x-9 g(x)=8x^2-3x-4 find (f+g)(x)
Given:
The functions are
[tex]f(x)=-5x^2+4x-9[/tex]
[tex]g(x)=8x^2-3x-4[/tex]
To find:
The value of (f+g)(x).
Solution:
We know that,
[tex](f+g)(x)=f(x)+g(x)[/tex]
Putting the given functions, we get
[tex](f+g)(x)=-5x^2+4x-9+8x^2-3x-4[/tex]
On combining like terms, we get
[tex](f+g)(x)=(-5x^2+8x^2)+(4x-3x)+(-9-4)[/tex]
[tex](f+g)(x)=3x^2+x-13[/tex]
Therefore, the required function is [tex](f+g)(x)=3x^2+x-13[/tex].
Five and nine thousandths as a decimal
Answer:
5.009
Step-by-step explanation:
5.009
/\
1000th
Answer:
5.009 is the ans. did u got it
Help pls!!! Worth 16 points!!!:)))
Answer:
18: Safe volume: s <= 115. Unsafe: s > 115.
19: 2-a, 1-b, 3-c, 4-d
20a: Justin is incorrect. 12 is a solution. 12 >= 12 is a true statement.
20b: f > 12
Step-by-step explanation: