Answer:
Priya's age = 15
Amirah's age = 19
Shirley's age = 13
Step-by-step explanation:
Let x be the age of Priya.
According to the question,
Amirah's age = x + 4
Shirley's age = x - 2
Their sum is 47.
So,
x + 4 + x + x - 2 = 47
3x + 2 = 47
3x = 47 - 2
3x = 45
x = 45/3
x = 15
So,
Priya's age = 15
Amirah's age = 15 + 4 = 19
Shirley's age = 15 - 2 = 13
Answer:
Priya is 15 years old
Amirah is 19 years old and
Shirley is 13 years old
Step-by-step explanation:
let Amirah =x
let Priya = y
let Shirley = s
so we have
x= 4+y
s=y-2
x+y+s =47
we have x= 4+y
4+y+y+s=47
4+2y+s=47
2y+s=43
s-y=-2 (MULTIPLY BY NEGATIVE 1)
y-s =2
2y+s= 43
by solving simultaneously we get
3y= 45
y=15
x= 4+y
x=19
s=y-2
s= 13
so Priya is 15 years old
Amirah is 19 years old and
Shirley is 13 years old
Richard has just been given an l0-question multiple-choice quiz in his history class. Each question has five answers, of which only one is correct, Since Richard has not attended a class recently, he doesn't know any of the answers, Assuming that Richard guesses on all 10 questions. Find the indicated probabilities.
A) What is the probability that he will answer all questions correctly?
B) What is the probability that he will answer all questions incorrectly?
C) What is the probability that he will answer at least one of the questions correctly?
Then use the fact that P(r1) = 1 P(r = 0).
D) What is the probability that Richard will answer at least half the questions correctly?
Answer:
a) 0.0000001024 probability that he will answer all questions correctly.
b) 0.1074 = 10.74% probability that he will answer all questions incorrectly
c) 0.8926 = 89.26% probability that he will answer at least one of the questions correctly.
d) 0.0328 = 3.28% probability that Richard will answer at least half the questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Each question has five answers, of which only one is correct
This means that the probability of correctly answering a question guessing is [tex]p = \frac{1}{5} = 0.2[/tex]
10 questions.
This means that [tex]n = 10[/tex]
A) What is the probability that he will answer all questions correctly?
This is [tex]P(X = 10)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} = 0.0000001024[/tex]
0.0000001024 probability that he will answer all questions correctly.
B) What is the probability that he will answer all questions incorrectly?
None correctly, so [tex]P(X = 0)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074[/tex]
0.1074 = 10.74% probability that he will answer all questions incorrectly
C) What is the probability that he will answer at least one of the questions correctly?
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
Since [tex]P(X = 0) = 0.1074[/tex], from item b.
[tex]P(X \geq 1) = 1 - 0.1074 = 0.8926[/tex]
0.8926 = 89.26% probability that he will answer at least one of the questions correctly.
D) What is the probability that Richard will answer at least half the questions correctly?
This is
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{10,5}.(0.2)^{5}.(0.8)^{5} = 0.0264[/tex]
[tex]P(X = 6) = C_{10,6}.(0.2)^{6}.(0.8)^{4} = 0.0055[/tex]
[tex]P(X = 7) = C_{10,7}.(0.2)^{7}.(0.8)^{3} = 0.0008[/tex]
[tex]P(X = 8) = C_{10,8}.(0.2)^{8}.(0.8)^{2} = 0.0001[/tex]
[tex]P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} \approx 0[/tex]
[tex]P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0[/tex]
So
[tex]P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0264 + 0.0055 + 0.0008 + 0.0001 + 0 + 0 = 0.0328[/tex]
0.0328 = 3.28% probability that Richard will answer at least half the questions correctly
Write the number shown in standard notation.
6.6 x 105
OA) 6,600
O B) 660,000
O C) 66,000
OD) 6,600,000
If a man can stack 30 bricks in 6 hours at that rate how many bricks can he stack in 33hours
Answer:
165 bricks
Step-by-step explanation:
Bricks Hours
30 6
5.5 5.5
-----------------------------------
165 33
so what i did to get it was to first divide 33 by 6 and got 5.5 so i multiply it to by the other number and got 165 bricks in 33 hour hope this helps
Which expression has twice the value of 2.22.2.2? 0 26 O 210 ys
Answer:
A. 2 to the sixth power.
Step-by-step explanation:
As you keep going higher with powers of 2, the more and more it just keeps doubling. 2 to the power of 6 is literally 2 to the power of 5 doubled.
Which of the following are solutions of 2x < 26?
Ox=5
G
Ox=
= 10
= 15
or=20
8
Answer:
2. is the answer,
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!!!!!!!!!!Maurice just bought a new home. The home can be represented by the function y = 200,000(1.025)^x
Activity 1 of 2
Part A: What is the growth rate of the value of Maurice's home each year after 2000?
Ο Α. 97.5%
B.
0.025%
0 C.
102.5%
D.
2.5%
Part B: What would the property value of Maurice's home be after 40 years?
O A. $537,000
O B. $419,500
C. $510,000
D. $501,000
The population in Smalltown in 2010 was 45,230 people and is growing at a rate of 2%. What will the population be in 2030?
Answer:
67475
Step-by-step explanation:
Let P(t) = population t years after 2010
= 45230e0.02t
Population in 2030 = P(20)
= 45230e0.4≈ 67475
One interior angle of a triangle is 60⁰. The other angle measures are x⁰ and y⁰. Which of the following could be the values of x and y? Select all that apply. A. x = 50, y = 90 B. x = 45, y = 45 C. x = 40, y = 80 D. x = 100, y = 20 E. x = 60, y = 60
Answer:
B,C,D
Step-by-step explanation:
Find the radius of a sphere whose volume is 12345mm
Answer:
14.34mm
Step-by-step explanation:
The formula for the volume of a sphere = 4/3nr³
where
n = 22/7
r = radius
give the volume of the sphere, we can determine the radius
12345 = 4/3 x 22/7 x r³
12345 = 88/21 x r³
divide both sides by 21/88
r³ = 2945.965909
take the cube root of both sides
r = 14.34 mm
The Oliver company plans to market a new product. Based on its market studies, Oliver estimates that it can sell up to 5,000 units in 2005. The selling price will be $2 per unit. Variable costs are estimated to be 20% of total revenue. Fixed costs are estimated to be $5,600 for 2005. How many units should the company sell to break even?
a.
2,333 units
b.
5,600 units
c.
2,800 units
d.
3,500 units
e.
5,000 units
I will mark you brainalist
Answer:
the answer is X=-7
,,,,,
Answer:
it would be x=7
Step-by-step explanation:
brainliest pls
I am very confused on this problem pls help
Answer:
Step-by-step explanation:
let X be free stickers
let y be number of T-shirts bought
TABLE
X Y (PUT THIS IN THE BLUE PLACE)
2 1
4 2
6 3
8 4
10 5 (don't have to put this in)
Help me with this problem
Answer:
So if we are looking at the parallelogram that is in black compared to the blue then you can see it rotated counterclockwise. With this in mind, looking at the answer choices, the closest answer would be "rotated 90 degrees counterclockwise around the origin." This is because it got rotated 90 degrees and it went counterclockwise.
Answer - "rotated 90 degrees counterclockwise around the origin."
so your answer is rotate 90° counter clockwise around the origin.
Answer:
h=(-3,0)
h'(0,-3)
it is a relation of rotation to the negative half turn.
HELP!!
The local Gas Station is selling 3.5 gallons of gasoline for $22.75. What is the unit price?
PLEASE HELP ME!!!!
Answer:
$6.50/gallon
Step-by-step explanation:
22.75 / 3.5 = $6.50/gallon
Level 2: Find the area of the shape:
8 ft
6 ft
14 ft
5 ft
5 ft
Area:
ft2
Help please!!!!
Step-by-step explanation:
a triangle is the area of 2
Help with this If you don’t know the answer please don’t answer
I think it could be $200 because if they're selling 6 pounds for 48 then each pound must be 8 so 25*8
plz plz plz help asap
A rectangle has a perimeter of 103.6 inches and a base of 39 inches. What is the height?
Answer:
12.8 IN.
Step-by-step explanation:
So, what exactly is perimeter?
Perimeter= 2L+ 2W
In this question we were given the length.ie.Base and the perimeter itself.
●Length is 39 In.
●Perimeter is 103.6 In.
●We don't know the width.
But, as per given the question, we know that;
1 length = 39 In.
2 lengths= 78 In.
Now that we know the total length we can find the total width.
See as follows,
103.6 - 78= 25.6
2 widths= 25.6
1 width= 25.6÷2
=12.8 In
Remember to do the opposite operation of what you see in the equation.
4x=16
x=16/4=4 is the answer if u need any explanation please comment
hope it helps
Answer:
x=4
Step-by-step explanation:
4x = 16
Divide each side by 4:
x=4
Jodie has $70 to spend on flowers for a school event. She wants to buy roses for $24 and spend the rest on lilies. Each lily flower costs $12. How many can she purchase without going over her budget?
Answer:
only 3
Step-by-step explanation:
pls help! the function g is defined as follows for the domain given
g(x)=1-2x domain={-3,-1,2,4}
write the range of g using set notation then graph g
Answer:
somebvody come get her-
Step-by-step explanation:
:D
I need help fast Estimate 81/4
Answer:
Step-by-step explanation:
20.25
hope it helps
NO LINKS PLEASE HELP ME
Answer
angle 5 = 31°
Step-by-step explanation:
Answer:
31 degrees
Step-by-step explanation:
Angles 1, 5, and 6 combine to form a straight line, which is 180 degrees, so add 56 and 93 and subtract that from 180
The higher interest rate of a cash advance on a credit card with an existing balance can be eliminated by paying the
cash advance back within four weeks.
Please select the best answer from the choices provided
A.т
B.F
Answer:
False
Step-by-step explanation:
EDGE 2021
change 5 feet 10 inches to centimetres
Answer:
177.8
Step-by-step explanation:
There are 30.48 centimeters per foot so multiply 30.48 by 5. And there is 2.54 centimeters in a inch so multiply 2.54 by 10. And then add the totals together to get 177.8
addie spent 4.32 on 6 cherry-flavored popsicles. find the unit rate
Answer:
$0.72
Step-by-step explanation:
4.32 dollars per 6 popsicles.
4.32 / 6 = 0.72 per popsicle.
I’ll give points and brainalist for answer / explanation
Answer:
B. 48 cm²Step-by-step explanation:
The area between the concentric circles:
A = π(R² - r²)If we tale π ≈ 3, we know R = 5 cm, we see r = R - 2 = 5 - 2 = 3 cm, then
A = 3(5² - 3²) = 3(16) = 48 cm²Correct choice is B
The yield of a chemical process is being studied. Fromprevious experience, yield is known to be normally distributedand 3. The past five days of plant operation have resulted inthe following percent yields: 91.6, 88.75, 90.8, 89.95, and 91.3.Find a 95% two-sided confidence interval on the true mean yield.
Answer:
(87.85 ≤ μ ≤ 93.11)
Step-by-step explanation:
Given the data:
91.6, 88.75, 90.8, 89.95, 91.3
Mean, m = Σx / n
n = sample size = 5
Mean = 452.4 / 5 = 90.48
Standard deviation, σ = 3
Zcritical at 95% = 1.96
Confidence interval :
Mean ± Error margin
Error margin = Zcritical*σ/sqrt(n)
Error margin = 1.96 * 3/sqrt(5)
Error margin = 2.630
Lower boundary : 90.48 - 2.630 = 87.85
Upper boundary : 90.48 + 2.630 = 93.11
(87.85 ; 93.11)
PLEASE HELP I HAVE 5 MINUTES PLEASE :(
Answer:Looks hard for 8th grader
Step-by-step explanation:
Answer:
28.3
Step-by-step explanation:
Given,
Radius of the circle = 4.5 m
Therefore,
Circumference of the circle
[tex] = 2\pi r[/tex]
[tex] = 2 \times 3.14 \times 4.5[/tex]
= 28.26
Rounded to nearest tenth,
= 28.3 (Ans)
How many solutions will the system of linear equations have: y = x + 6 and 3x - 3y = -18
Answer:
If i'm not mistaken, infinite because its linear which is a straight line that goes on forever
Step-by-step explanation: