Answer:
Probability[Number greater than 4] = 1/2
Step-by-step explanation:
Given:
Total side of die = 8
Find:
Probability[Number greater than 4]
Computation:
Number greater than 4;
[5,6,7,8]
Total number greater than 4 = 4
Probability[Number greater than 4] = Total number greater than 4 / Total side of die
Probability[Number greater than 4] = 4 / 8
Probability[Number greater than 4] = 1/2
The value of a house wa shilling 600,000 in 2005.It increased by 25% in 2006 and 10% in 2007 but dropped by 15% in 2007 find its value in 2008
Given:
The value of a house is 600,000 in 2005.
It increased by 25% in 2006 and 10% in 2007 but dropped by 15% in 2007.
To find:
The value of the house in 2008.
Solution:
We have,
Value of house in 2005 = 600,000
It increased by 25% in 2006.
Value of house in 2006 = [tex]600,000+\dfrac{25}{100}600,000[/tex]
= [tex]600,000+150,000[/tex]
= [tex]750,000[/tex]
It increased by 10% in 2007
Value of house in 2007 = [tex]750,000+\dfrac{10}{100}750,000[/tex]
= [tex]750,000+75,000[/tex]
= [tex]825,000[/tex]
But it dropped by 15% in 2007.
Value of house in 2008 = [tex]825,000-\dfrac{15}{100}825,000[/tex]
= [tex]825,000-123,750[/tex]
= [tex]701,250[/tex]
Therefore, the value of the house in 2008 is 701,250.
Of 20 students, 9 are girls
% of girls
% of boys
Answer:
45% and 55%
Step-by-step explanation:
Total student = 20
No of Girls = 9
No of boys = Total student - No of Girls
=20-9
=11
Percentage of Girls = (No of Girls / Total student) * 100
= (9/20)*100
= 45 %
Percentage of Boys = (No of Boys/ Total student) * 100
= (11/20)*100
= 55 %
A collection agent earns a fixed amount for each call that he makes, as
shown in the graph below.
If the collection agent makes 11 calls, how much will he earn in total?
Answer:
The answer is $9.90
Step-by-step explanation:
The dock foreman gets to work each day at 5:30 A.M. He goes to lunch at 11:01 A.M. and gets back to work at noon. He goes home for the day at 3:20 P.M.
How many hours does the foreman work in a 5−day work week?
Answer:
The foreman works approximately 44 hours in a 5−day workweek.
Step-by-step explanation:
In one day the dock foreman works the following hours:
[tex]t = (11 h + 01 min*\frac{1 h}{60 min}) - (5 h + 30 min*\frac{1 h}{60 min}) + 15 h + 20 min*\frac{1 h}{60 min} - 12 h = 8.85 h = 8 h + 51 min[/tex]
Now, in 1 5-day work week the man works:
[tex]T = 5*t = 5*8.85 h = 44.25 h = 44 h + 15 min[/tex]
Therefore, the foreman works approximately 44 hours in a 5−day workweek.
I hope it helps you!
(5x³-7x²+3x-4)-(8x³+2x²+3x-7)
Answer: =−3x^3−9x^2+3
Step-by-step explanation:
Distribute the Negative Sign:
=5x^3−7x^2+3x−4+−1(8x^3+2x^2+3x−7)
=5x^3+−7x^2+3x+−4+−1(8x^3)+−1(2x^2)+−1(3x)+(−1)(−7)
=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7
Combine Like Terms:
=5x^3+−7x^2+3x+−4+−8x^3+−2x^2+−3x+7
=(5x^3+−8x^3)+(−7x^2+−2x^2)+(3x+−3x)+(−4+7)
=−3x^3+−9x^2+3
Which equation has the steepest graph?
Answer Choices:
y = 2x + 4
y = -4x – 1
y = 1/2 x + 10
y = 5x + 2
Answer:
y = 5x + 2
Step-by-step explanation:
in order to find if a line is steeper, you need to look at the slope
the greater the slope, the steeper the line will be
y = 2x + 4
y = -4x - 1
y = 1/2x + 10
y = 5x + 2
out of all of these options, y = 5x + 2 has the largest slope. this means that it is the steepest one.
Which value of x, from the choices below, make the expressions x + 3 and 2x equivalent?
Answer:
x = 3
Step-by-step explanation:
(Total 3 marks)
10.
A plane flies 1400 kilometres in 2 hours 20 minutes.
Calculate the average speed, in km/h, of the plane.
km/h
(Total 3 marks)
Answer:
600 km/hour
Step-by-step explanation:
1400 km in 2 hrs & 20 mins (or 2.33 hours)
1400/2.33 = 600 km/hour
need help Math question
Answer:
n=20
Step-by-step explanation:
1/2n+6=16
1/2n=16-6
1/2n=10
n=10x2
n=20
Pls help
Identify each angle pair as adjacent, vertical, or neither. Identify Structure Refer to the diagram at the right. Identify each angle pair as adjacent, vertical, or neither.
Answer:
angle 5 and angle 6 are adjacent angles, all adjacent means is directly next to each other, another example would be 6 and 1; 1 and 2; 2 and 3, etc
and example of vertical angles would be 6 and 3, they basically form an x, another example is 5 and 2, 1 and 4, etc
an examples of angles that would qualify as neither would be 1 and 3, they are not next to one another, thus they are not adjacent, and they do not form an x so they are not vertical, another example would be 5 and 3
The tape diagram represents an equation. w 1.3 2.7
Answer: 2/3
Step-by-step explanation:
Answer: w + 1.3 = 2.7
Step-by-step explanation: i did it in khan academy ∩(︶▽︶)∩ HOPE IT HELPS
Which of the following is most likely the next step in the series ?
Answer:
b
Step-by-step explanation:
it should be red because the colour is alternative
and next we should add a horizontal line
hence b is the next step
Answer:
I'm not sure but I guess the answer is option >D
Step-by-step explanation:
PLS HELP ITS URGENT!! ANSWER FOR POINTS
A random sample of 95 halogen light bulbs had a mean life of 531 hours with a standard
deviation of 33 hours. Construct a 90% confidence interval for the mean life of all light bulbs
of this type.
A) 525.4 < u <536.6
B) 515.3< u < 526.9
C) 527.2 < u <531.8
D) 523.8 < u < 529.5
(5 pts) It takes Jack 3 hours longer to write holiday cards than it takes Jill. Together, they can write them
in 2 hours. How long does it take each person to write the cards working alone?
Answer:
Jack needs 6 hours and Jill needs 3 hours.
Step-by-step explanation:
Let's define the variables:
X = rate at which Jack can write a holiday card.
Y = rate at which Jill can write a holiday card.
Each of them will need a given time to write a card, such that:
X*T = 1 card
We know that Jack needs 3 more hours to write a card than Jill, then Jill needs 3 hours less than Jack, so if Jack needs T hours, Jill will need T - 3 hours
Then we have the equation:
Y*(T - 3 hr) = 1 card
And we also know that when they work together, they need 2 hours, then:
(X + Y)*2 hr = 1 card.
So we have 3 equations:
X*T = 1 card
Y*(T - 3 hr) = 1 card
(X + Y)*2 hr = 1 card.
Now let's ignore the card part just for the equations, then we get:
X*T = 1
Y*(T - 3 hr) = 1
(X + Y)*2 hr = 1
To solve it, we first need to isolate one variable in one of the equations, let's isolate T in the first equation, we get:
T = 1/X
Now we can replace this in the second equation to get:
Y*((1/X) - 3hr) = 1
So now we have two equations:
(X + Y)*2 hr = 1
Y*((1/X) - 3hr) = 1
We need to do the same, isolate one variable in one of the equations, let's isolate Y in the above one:
Y*2hr = 1 - X*2hr
Y = (1 - X*2hr)/2hr
Now we can replace this in the other equation to get:
((1 - X)/2hr)*((1/X) - 3hr) = 1
Now we can solve this for X:
((1 - X)/2hr)*((1/X) - 3hr) = 1
(1 - X)*((1/X) - 3hr) = 2 hr
1/X - 3hr - X*2hr/X + X*2hr*3hr = 2hr
1/X - 3hr - 2hr + X*6hr^2 = 2hr
1/X + X*6hr^2 = 2hr + 3 hr + 2 hr = 7hr
1/X + X*6hr^2 = 7hr
Now we can multiply all by X to get:
X/X + X*(X*6hr^2) = 7hr*X
Now we have the quadratic equation:
(6hr^2)*X^2 - (7hr)*X + 1 = 0
We can find the solutions of this equation if we use the Bhaskara's formula, the solutions are:
[tex]X = \frac{-(-7hr) +- \sqrt{(-7hr)^2 - 4*(6hr^2)*1} }{2*6hr^2} = \frac{7hr +- 5hr}{12 hr^2}[/tex]
Then we have two solutions:
X = (7hr + 5hr)/12hr = 1 hr^-1
And this is the rate at which Jack writes a card, so the actual units are:
X = 0.167 card/hr
Then Jill's rate will be:
Y = (1 - X*2hr)/2hr = (1 - 1card/hr*2hr)/2hr = -0.5 card/hr
So we have a negative rate, this makes no sense, so we can discard this option. The other solution for X is:
X = (7hr - 5hr)/12hr = 0.166... hr^-1
And this is the rate at which Jack writes a card, so the actual units are:
X = 0.166... card/hr
If we have this, then the rate for Jill will be:
Y = Y = (1 - X*2hr)/2hr = (1 - 0.167card/hr*2hr)/2hr = 0.333 card/hr
Then we have:
X = 0.167 card/hr
If we use the first equation, we get:
(0.166... card/hr)*T = 1 card
T = 1 card/((0.166... card/hr)) = 6 hours
Then Jack needs 6 hours to write a card.
And we know that Jill needs 3 hours less than that, then Jill needs 3 hours.
Help asap please!! I will mark brainlest and give me the work
Answer:
16 square feet
Step-by-step explanation:
Base: 2 * 2 = 4
Side: 2 * 3 / 2 = 3
4 sides = 3 * 4 = 12
Base + sides = 12 + 4 = 16
Find the value of x.
Answer:
89
Step-by-step explanation:
please help me thank you
Answer:
D) Perpendicular
Step-by-step explanation:
Red: 5y+4x=-30
Blue: y=5/4x-5
Barbara is a research biologist for Green Carpet Lawns. She is studying the effects of fertilizer type, temperature at time of application, and water treatment after application. She has three fertilizer types, two temperature zones, and five water treatments to test. Determine the number of different lawn plots she needs in order to test each fertilizer type, temperature range, and water treatment configuration.
The University of Montana ski team has ten entrants in a men's downhill ski event. The coach would like the first, second, and third places to go to the team members. In how many ways can the ten team entrants achieve first, second, and third places?
There are 15 qualified applicants for 4 trainee positions in a fast-food management program. How many different groups of trainees can be selected?
Answer:
The University of Montana ski team has ten entrants in a men's downhill ski event. The coach would like the first, second,
Can anybody help me with this please
What is 730 divided by 30
Answer:
24 1/3
Step-by-step explanation:
long division
Solve 5x + 34 = –2 + 7x for x.
Question 14 options:
A)
x = 12
B)
x = 18
C)
x = –16
D)
x = –24
Answer:
x = 18
Step-by-step explanation:
Please help this is due today!
Use the diagram to complete the statements using correct notation. If there is not enough information to prove congruency, explain why: Example cannot be determined
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
They are congruent by opposite exterior angles
RST is congruent to UVT
UV is congruent to SR
#3Elizabeth takes her younger siblings to the fair. She spends a total of
$40. She buys 3 entrance tickets for $8.00 each, and 8 bags of popcorn.
What is the price per bag of popcorn? (type just the whole number below
help quick
Write the ratio as a fraction in lowest terms. Be sure to make necessary conversions:
12 feet to 15 inches
48/53
Steps
15 inches = 1.25 feet
Ratio = 12 : 1.25
Simplified = 9.6 : 1
9.6 + 1 = 10.6
9.6/10.6 = 48/53
Checking...
12 feet = 144 inches
Ratio = 144 : 15
144 + 15 = 159
144/159 = 48/53
Answer:
[tex] \frac{12}{15} [/tex]
Step-by-step explanation:
12:15
•=12[tex] \frac{12}{15} [/tex]51 –
6.8 + 4.3/4
-0.8
Answer:
11.325
Step-by-step explanation:
Ce clasă ești sa văd daca te pot ajuta
How would yoy simplify 4(5+x)
Answer:
4x + 20
Step-by-step explanation:
4(5 + x) = 4 * 5 + 4 * x = 20 + 4x = 4x + 20
3.5-5.5n-4n+8 help please
A college newspaper interviews a psychologist about student ratings of the teaching of faculty members. The psychologist says that the evidence indicates that the correlation between the research productivity and teaching rating of faculty members is close to zero. The paper reports this as Professor McDaniel said that good researchers tend to be poor teachers, and vice versa. Which statement in plain language (i.e. without the word correlation) correctly explains the psychologist's meaning?
A)There is little connection between research productivity and teaching rating.
B) While bad researchers tend to be good teachers, there is no similar relationship between good researchers and bad teachers.
C) While good researchers tend to be bad teachers, there is no similar relationship between bad researchers and good teachers.
D) Good researchers tend to be bad teachers and bad researchers tend to be good teachers.
Answer:
The correct option is A.
Step-by-step explanation:
As the psychologist states that there is no correlation found between teaching ratings and research productivity of the same faculty member, meaning that there is no significant relationship between the two. The paper's report states quite the opposite, that there is an inverse correlation. The statement that explains what the psychologist says correctly is A. There is little connection between teaching rating and research productivity.
I hope this answer helps.
Three shops A, B and C sold cars in January, February
and March. The total number of cars sold in this three-
Three shops A.
respectively. Both A and C sold the same number of
cars in January. The number of cars sold by A and C in
March was also the same. A sold 120 cars in February
which was half of the number of cars sold by C in
March. Both A and B sold exactly the same number of
cars in February. The ratio of the number of cars sold by
B in January and March was 1:4.
What was the ratio of the total number of cars sold in
January, February and March by the three shops?
month period by A, B and C were 460, 320 and 500
Convert the following angle from degrees to radians. Express your answer in simplest form. 210°
Answer:
Step-by-step explanation:
[tex]\frac{rad}{\theta}=\frac{\pi}{180}\\ \\ rad=\frac{\theta \pi}{180}\\ \\ rad=\frac{210\pi}{180}\\ \\ rad=\frac{7\pi}{6}[/tex]