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
y = x^2 + 4x - 5
I need to know if it is maximum or minimum , the axis of symmetry , the vertex , domain , range
Answer:
i honestly have no idea
Step-by-step explanation:
Answer:
The coefficient of x^2 is positive (here it is 1) so we have a minimum.
Rearrange it to the form (x-a)^2 + b:
(x+2)^2 - 4 - 5 = (x+2)^2-9
This means the minimum, or vertex, is at (-2,-9)
Parabolas are symmetrical horizontally, so the axis of symmetry is the vertical line at the minimum, which is x = -2
The domain is all numbers
The range is y >= -9
Find the 59th term of the arithmetic sequence 26, 17, 8, ...26,17,8,...
Answer: the 59th term is -496.
Step-by-step explanation:
How do I solve questions like this?
Answer:
90
Step-by-step explanation:
90
im pretty sure the anwer is 90
Marian has a goal of running 18 1/2 miles during track practice this week. On Monday she ran 2 1/2 miles, on Tuesday 2.9 miles, on Wednesday 3 3/4 miles, and on Thursday 5 1/4 miles. How far does she need to run on Friday to reach her goal?
Answer:
4.1
Step-by-step explanation:
Can someone help me please. I will cash app you or PayPal if you have , or any other way to pay you. Thanks.
Answer:
All rewrited would be 1. 10 to the power of three would be simplified into 1,000/1,000. 2 to the power of 5 would be simplified into 32/32. The repeated multiplication for 10 to the power of three would be 10 x 10 x 10 / 10 x 10 x 10. 2 to the power of 5 in repeated addition would be 2 x 2 x 2 x 2 x 2 / 2 x 2 x 2 x 2 x 2
Please anyone need help on this
Answer:
2√5
good luck, i hope this helps :)
How do you solve this please help it's worth 50 points
Try this option, if it is possible, check the suggested solutions/answers in other sources.
All the answers are underlined with red colour.
I need help with these questions
Answer:
(2nd question, asking about height)
8cm or 0.08m
Step-by-step explanation:
1.43m - 143cm
(1m = 100cm)
143cm - 135cm = 8cm
Answer:
445mm & 44.5cm
Step-by-step explanation:
155mm - 15.5cm
(1mm = 0.1cm)
15.5 + 16 + 13 = 44.5cm
44.5cm - 445mm
Answer:
1) 18.3m-16.5m=2.8m
2) 1.43m-135cm=0.81m
3) 0.16m+1.55m+0.13m=0,84m or 84cm
4)-
5)-
Step-by-step explanation:
2)cause 135cm is 1.35m
How do you find the term in a Aromatic sequence
Answer:
An =A1+(n-1)d
Step-by-step explanation:
the nth term of an arithmetic sequence is :
An =A1+(n-1)d ....a common difference is : d
A1 is the first term
A shipping tube is shaoed like a triangular prismi
Answer:
please be more specific
Step-by-step explanation:
Which ordered pair is a solution of the equation: y = x + 3 a) (-2,5) b) (3,0) c) (8, 11)
Answer:
C) (8, 11)
Step-by-step explanation:
8+3=11.
When bungee jumping, you reach a positive elevation on your first jump that is 50 1/6 feet greater than the elevation you reach on your second jump. Your change in elevation on the first jump is -200 2/3 feet. What is your change in elevation on the second jump?
Im giving 50 points cause i really need help
Answer:
-301/2=−150.5
Step-by-step explanation:
Hope this helps.
2. Roman's allowance a week is P250.75. If he will save p50.00 and
equally divide the rest into 5, how much will he spend a day?
Answer:
50.15
Step-by-step explanation:
250.75-50=200.75
200.75/5=50.15
What is 56x2
Just a regular normal question from me
Your welcome in advance
Answer:
112
Step-by-step explanation:
hope this helps
Helppp (7th grade)
_inches
Answer:
h = 8 inches
Step-by-step explanation:
Since these shapes are similar and one side of the bigger shape is double the other side (44 is the double of 22), to find side h, you have to multiply 4 by 2 (It's the same relationship between the two sides of similar shapes). 4 times 2 is equal to 8, which is your answer.
The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 2.3 times every four hours. The shopping center is open from 10 a.m. to 9 p.m. (11 hours). Let r be the number of shoplifting incident caught by security in an 11 -hour period during which the center is open.
Answer:
9 hours
Step-by-step explanation:
a ratio table! need help asap!!! Time (secs): | 4 | 8 | 12 | 16 | 20 | Distance (miles): - the bottom row is empty and i need help to fill it - #b
Video Store A charges $8 to rent a video game for one week. Although only members can rent from the store, membership is free. Video Store B charges only $4 to rent a video game for one week. Only members can rent from the store and membership is $84 per year. After how many video game rentals will the total amount spent at each store be the same?
a) Write an equation to model the problem. Let x represent the number of video game rentals.
b) Solve the equation to find to answer the question. (Note: Include the units , which in this case is "rentals"; for example, if you find of a solution of 29, write: 29 rentals.)
Answer:
21 rentals
Step-by-step explanation:
Video Store A = 8x
Video Store B = 84 + 4x
x = number of video game rentals.
After how many video game rentals will the total amount spent at each store be the same?
Video Store A = Video Store B
8x = 84 + 4x
8x - 4x = 84
4x = 84
x = 84/4
x = 21 rentals
Charlene and Gary want to make a perfume
2.39 2.58 2.17
Answer:
What is the question?
Step-by-step explanation:
A isosceles triangle
B right triangle
C equiangular triangle
D equilateral triangle
please follow me
PLEASE HELP ME ILL MARK YOU BRAINLY!!
Answer:
No
Step-by-step explanation:
no because it doesn't pass the horizonal line test
what is the answer please i need help
Answer:
Step-by-step explanation:
x - 0.35x = (1 - 0.35)x
= 0.65x
1.00 (-)
0.35
0.65
Find the unit rate.
jacob walks 3 1/2 miles in 1 3/4 hours
how many miles jacob can walk per hour
What is the value of x?
What is the measure of angle A?
What is the measure of angle B?
What is the measure of angle C?
Answer:
∠A = 41
∠B = 82
∠C = 57
Step-by-step explanation:
Sum of all the angles of triangle = 180
x + 10 + 2x -5 + 2x + 20 = 180
x +2x +2x + 10 - 5 +20 = 180 {Combine like terms}
5x + 25 = 180
5x = 180 - 25
5x =155
x = 155/5
x = 31
∠A = x + 10 = 31 + 10 = 41
∠B = 2x +20 = 2*31 + 20 = 62 + 20 = 82
∠C = 2x - 5 = 2*31 - 5 = 62 - 5 = 57
Write the equation in standard form using integers.
Answer:
it would be:
3x-4y=-8
Step-by-step explanation:
A toy train has 8 compartments and an engine that is 8 inches long. Each compartment is 4 inches long. Each compartment is joined by links that are 3 inches long. How long is that train.
Answer:
64in
Step-by-step explanation:
links=8*3=24
compartments + engine=4*8+8=40
40+24=64
The volume of a cuboid is 189cm3.
The length is 7cm and the width is 9cm.
Work out the height of the cuboid.
What is the area of this figure ?
Answer:
52920cm
all you have to do is multiply all the numbers together.
sorry if its wrong.
but hope it helps.
have a great day.
Answer:
102
Step-by-step explanation:
area of the square (36) plus the area of the trapezoid (66)
What are the 3 equivalent fraction 75/100
Answer:
3/4
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 75 and 100 is 25.
75 ÷ 25100 ÷ 25.
Reduced fraction: 34. Therefore, 75/100 simplified to lowest terms is 3/4.
Answer:
three equivalent fractions to 75/100 are 3/4 , 6/8 , & 12/16
Cook's bakery is making 15 cakes. Each cake contains 2 cups of flour. How many cups of flour (F) are needed to make all the cakes?
A) 2/F = 15
B) F/2 = 15
C) 15/2 = F
D) F = 15 + 13
Answer:
i think its C pls mark brainliest tho
Step-by-step explanation:
Answer: C
Step-by-step explanation: So it's asking you how many cups of flour in total it is suppossed to be multiplication but since there is no multiplication the only other answer that makes sense it C.