Answer:
Lower Quartile = 132
Step-by-step explanation:
Arranging it in ascending Order:
112, 130, 132, 140, 149, 151, 163, 172, 185, 190, 200
Lower quartile = [tex](N+1)^{th} Term \frac{1}{4}[/tex]
Where N = 11
Lower Quartile = [tex]\frac{1}{4} (12)^{th} Term[/tex]
Lower Quartile = 3rd Term
So,
Lower Quartile = 132
Answer: 132
Step-by-step explanation:
A new television set was recently purchased for the common room in a Residence Hall for $ 499.20 including tax. If the tax rate is 4 %, find the price of the television set before taxes. $______(Type an integer or a decimal rounded to two decimal places.)
Answer: $479.20
Step-by-step explanation:
[tex]499.20*0.04=19.968[/tex]
[tex]round \\[/tex] [tex]19.968[/tex]
= 20
tax= $20
[tex]499.20-20=479.2[/tex]
The price of the TV before tax was $479.20
The table below shows student's preferred European football clubs as indicated in a survey run by
their math teacher. If two students were selected without replacement at random, what is the
probability that the first and second students prefer Juventus?
Answer:
Option D. 91/4950
Step-by-step explanation:
The following data were obtained from the question:
Barcelona (B) = 23
Real Madrid (R) = 23
Liverpool (L) = 22
Manchester City (M) = 18
Juventus (J) = 14
Total (T) = 100
Next, we shall determine the probability of the first pick i.e probability of Juventus. This is illustrated below:
P(J1) = n(J) /n(T)
P(J1) = 14/100
Now, the picking is done without replacement. The next pick being Juventus will reduce in number and likewise the total number will also reduce i.e
Juventus = 13
Total = 99
Therefore, the probability that the 2nd pick is Juventus is given below:
P(J2) = 13/99
Now, we can obtain the probability that the 1st and 2nd student prefer Juventus as follow:
P(J1 and J2) = P(J1) x P(J2)
P(J1) = 14/100
P(J2) = 13/99
P(J1 and J2) = P(J1) x P(J2)
P(J1 and J2) = 14/100 x 13/99
P(J1 and J2) = 7/50 x 13/99
P(J1 and J2) = 91/4950
Therefore, the probability that the 1st and 2nd student prefer Juventus is 91/4950
Eva invested $10,000 in a savings account. If the interest rate is 3.5%, how much will be in the account in 10 years by
compounding continuously? Round to the nearest cent.
Answer:
The total in the account after 10 years would be: $14,190.68
Step-by-step explanation:
Recall the formula for continuous compounding:
[tex]A=P\,e^{r\,t}[/tex]
where "A" is the accrued value after t years (what we need to find), "P" is the principal invested (in our case $10,000), "r" is the interest rate in decimal form (in our case r = 0.035), and "t" is the time in years (in our case t = 10). Therefore the formula becomes:
[tex]A=P\,e^{r\,t}\\A=10000\,\,e^{0.035\,*\.10}\\A=14190.68[/tex]
Therefore the total in the account after 10 years would be: $14,190.68
Jose earns $400 during the summer. He deposits it in an account that pays simple interest at a rate of 3% per year. Which equation can you use to find the amount of simple interest that Jose earns in 1 year?
Answer:
12
Step-by-step explanation:
Since this is simple interest the equation will be P*T*R=I T=time which is 1 year. P=money invested or borrowed (aka princable) which is 400$. R=Annual rate is 3% per year and I= Interest after the number of years (aka answer) Hope this helps :)
Answer:
I = 400 x 0.03 x 1
Step-by-step explanation:
$400 is the principal, 0.03 is the decimal value for the annual rate, and the time is 1 year.
Will name brainliest please help me.
Answer:
CD = 9
Step-by-step explanation:
ΔADE is similar to ΔBCD
Such that:
AD is similar to CD
BD is similar to ED
AE is similar to BC
Taking the proportion of their sides to find the unknown sides CD
=> [tex]\frac{6}{2} = \frac{CD}{3}[/tex]
Cross Multiplying
=> 2(CD) = 3*6
=> CD = 18/2
=> CD = 9
Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are parallel. Using the side-splitter theorem, which segment length would complete the proportion? StartFraction G H Over H E EndFraction = StartFraction question mark Over J F EndFraction GF JH GJ EF
Answer:
GJ
Step-by-step explanation:
The "Side Splitter" Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally.
In this case, lines EF and HJ are parallel, H is on side EG and J is on side GF; then using the side-splitter theorem:
[tex] \frac{GH}{HE} = \frac{GJ}{JF} [/tex]
Answer:
It is C
Step-by-step explanation:
Took it on Edg
The outside diameter of a pipe is 4.825 inches. If the pipe wall is 0.145 inches thick, what is the inside diameter of the pipe?
Answer:
4.68 in
Step-by-step explanation:
4.825-0.145=4.68 in
The inside diameter of the pipe is 4.68 inches.
What is a diameter?A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.
Given:
The outside diameter of a pipe is 4.825 inches.
If the pipe wall is 0.145 inches thick,
the inside diameter of the pipe,
= 4.825 - 0.145
= 4.68
Therefore, the diameter is 4.68 inches.
To learn more about the diameter;
https://brainly.com/question/5501950
#SPJ5
If a person can complete a job in 8 hours and his/her friend needs 6 hours to do the same job, what portion of the job would the tow of them complete by working together
for two hours?
Both of them can complete 7/12 of the job in 2 hours.
What is rate?Rate is the mathematical term use to show how one quantity varies with a standard quantity.
Analysis:
If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour
If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.
So both of them would do the same job combine in 1 hour = 1/8 + 1/6
LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24
In 2 hours they would complete = 7/24 x 2 = 7/12
In conclusion, both of them can do 7/12 of that job in 2 hours.
Learn more about rate: brainly.com/question/24304697
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Solve the formula 27a+1/2b=4 for a.
Answer:
a = 4/27 - b/54
Step-by-step explanation:
27a+1/2b=4
Subtract 1/2 b from each side
27a+1/2b - 1/2 b=4-1/2 b
27a = 4 - 1/2 b
Divide each side by 27
27a/27 = 4/27 - 1/2 b/27
a = 4/27 - b/54
What can you conclude about the intersection of a chord and the radius that bisects it
Answer: The radius and the cord must be perpendicular to each other.
Step-by-step explanation:
A cord is a line from a point of circumference of a circle to another point of the circumference of the circle without passing through the centre.
A radius is a line from the centre of a circle to the circumference of the circle.
When the radius line intersect and bisects a cord of a circle, the radius and the cord must be perpendicular to each other.
Answer:
if in a circle a radius bisects a chord then the radius is perpendicular to the chord,
Step-by-step explanation:
If f = {(2,5), (3, 2) (4, 6), (5, 1), (2, 2)), then f is a function.
Answer:
false
Step-by-step explanation:
f is not a function because you can see that two of the points are (2,5) and (2,2). A function can only have one corresponding y-coordinate for every x-coordinate and since this is not the case here, f is not a function.
What is the slope-intercept equation of the line below?
Answer:
B.
[tex]y = - x + 2[/tex]
Answer:
b. y=-x+2
Step-by-step explanation:
hi!
the slope intercept form is y=mx+b where m is the slope, and b is the y intercept.
since the y intercept is postive 2, we can first eliminate choices A and C since they show a y intercept of negative 2, not positive 2.
next, we can eliminate d since the line of the graph is going downwards, meaning that the slope or m is negative.
Therefore, the correct answer is b.
u can also use a graphing calculator if youre unsure and plug in each equation and see if it matches with the graph.
Please help meh look at the phot I gave you.
Answer:
C
Step-by-step explanation:
Point B is at -0.5, -1 is not greater than -0.5.
Point A is at -1 and is not greater than Point B, because Point B is at -0.5.
Therefore, it is none of the above.
Answer:
C
Step-by-step explanation:
Therefore, it is none of the above.
Squares and rectangles have the same properties except ANSWERS: A) Opposite angles are congruent. B) Opposite sides are parallel. C) All four sides are congruent. D) Opposite sides are congruent.
Answer: C
Step-by-step explanation:
C) All four sides are congruent
A rectangle does not have all four sides that are congruent to each other (In harmony) however a square does because all it's sides are equal!
A rectangle does not have equal sides, only it's parrel sides are equal to each other.
If this really helped please mark me brainliest!
Answer:
C. All four sides are congruent
The lines shown below are parallel. If the green line has a slope of -2, what is the slope of the red line? A. 1/2 B. -1/2 C. 2 D. -2
Answer:
D, -2
Step-by-step explanation:
Hello! If two lines are parallels, it means they will never meet. This means that they have to be the same slope, because if one is even the slightest bit different, it will eventually touch the other line! A great website to understand visually, is Desmos! You can plot the lines and see for yourself if you're a visual learner!
Hope this helps! :)
which equation is represented by the graph below
Answer:
C). y = ln x + 4
Step-by-step explanation:
First off, we can cancel out the [tex]e^{x}[/tex] graphs.
Now looking at the graph, one can see that when x = 1, y = 4.
So for each [tex]ln[/tex] function, plug in 1 for x.
In doing this, one will find that y = ln x + 4 is the only [tex]ln[/tex] graph that produces 4 when x = 1.
At the sandwich shop, there are 3 different meats and 4 different cheeses from which to choose. How many different sandwiches can be made using one meat and one cheese? A. 2 B. 3 C. 7 D. 12
Answer:
D. 12
Step-by-step explanation:
D. 12 as 4 x 3 = 12
Proof
1 1
1 2
1 3
1 4
2 1
2 2
2 3
2 4
3 1
3 2
3 3
3 4
Sandwiches = 12
Answer:
12
Step-by-step explanation:
4*2=12
please mark me brainliest :)
Evaluate 2x2 - 1 when x= 3.
O A. 35
O B. 25
O c. 5
O D. 17
Answer:[tex]2*3^{2} -1[/tex]
Step-by-step explanation:
calculate the power: 2*9-1
calculate the product or quotient:18-1
calculate the sum or difference:17
answer:17
Helpppppppppppppppppppp solve for x
Answer:
x=35
Step-by-step explanation:
Since a quadrilateral's interior angles add up to 360°, we get this:
360-85-20=360-4x+x
340-85=360-3x
255=360-3x
-105= -3x
Multiply both sides by -1
105=3x
3x=105
Divide both sides by 3
x=35
What is the volume of the rectangular prism below? (Don't forget to
label your answer!)
Answer: 84 3/8 or 84.375 inches cubed
Step-by-step explanation:
4 1/2 * 5 = 22 1/2
22 1/2 * 3 3/4 = 45/2 * 15/4 = 675/8
675/8 = 84 3/8 or 84.375
given
[tex] log(x) = 2 \: and \: log(y) = - 1[/tex]
prove that
[tex]xy - 100y {}^{2} = 9[/tex]
Step-by-step explanation:
[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]
then for y:
[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]
so:
[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]
Solve for v. 4= - 3/v+5 simplify your answer as much as possible
Answer:
v = -23/4 = -5 3/4
Step-by-step explanation:
4= - 3/(v+5)
Multiply each side by (v+5)
4 (v+5) = -3
Distribute
4v+20 = -3
Subtract 20 from each side
4v +20-20 = -3-20
4v = -23
Divide by 4
4v/4 = -23/4
v = -23/4
the ratio of boys to girls in a school is 4:5 there are 22o boys in the school. How many students attend the school
Answer:
495 students
Step-by-step explanation:
The 4 part of the ratio is the number of boys.
Divide the number of boys by 4 to find the value of one part of the ratio.
220 ÷ 4 = 55 ← value of 1 part of the ratio, thus
5 parts = 5 × 55 = 275 ← number of girls
Number of students = 220 + 275 = 495
Answer:
495 studentsStep-by-step explanation:
[tex]220 \: boys \\ 4:5 = 4 + 5 \\ boys \: = \frac{4}{9} \times x = 220 \\ = \frac{4x}{9} = \frac{220}{1} [/tex]
[tex]4x = 1980 \\ \frac{4x}{4} = \frac{1980}{4} \\ x = 495 \\ total \: no \: of \: students \: = 495 \\ [/tex]
Membership to a music club costs $120. Members pay $20 per music lesson and nonmembers pay $35 per music lesson. How many music lessons would have to be taken for the cost to be the same for members and nonmembers? A. 85 B. 8 C. 3 D. 105
If f(x) = 4x - 12, what is f(2)?
O A. -4
O'B. 4
O c. -20
D. 8
Helpppp plzzz
Answer:
-4
Step-by-step explanation:
f(x) = 4x - 12
Let x=2
f(2) = 4*2 - 12
= 8-12
= -4
24. At a company picnic, 1/2 of the people are employees. 2/5 are employees' spouses. What percent are neither?
Answer:
One half of X are employees.
One third of X are employee's spouses.
We add one half PLUS one third:
1/2 + 1/3 = 3/6 + 2/6 = 5/6
Then we subtract that fraction from one whole, or 1,
to see what fraction is left. That is, we say
1 minus 5/6
which is
1 - 5/6
Now write 1 as 6/6
6/6 - 5/6
We get 1/6
So 1/6 is left. Now we need to make that into
a percent by multiplying it by 100 and tacking on a "%"
1/6 � 100
1/6 � 100/1
100/6
50/3
16 2/3 %
So 16 2/3 % of the people in
attendance are neither employees
nor employee's spouses.
Now let's check:
1/2 are employees. That's 50%
1/3 are wmployee's spouses. That's 33 1/3%
15 2/3 % are neither employees nor employee's spouses.
Add them up
50 %
33 1/3 %
16 2/3 %
--------
99 3/3 %
And 99 3/3% = 100%
Step-by-step explanation:
HELP ME ASAP!!! A cargo plane left Los Angeles seven hours before an Air Force plane. The planes flew in opposite directions. The Air Force plane flew at 325 mph for two hours. After this time the planes were 5150 mi. apart. Find the cargo plane's speed.
The cargo plane's speed was 500 mph.
A tank is 2m long, 1.4m wide and 1.8m high. find the volume of water in the tank when it is half full.
Answer:
volume of water in the tank when it its half full
The capacity of the water tank = (5.04) /2 = 2.52 m³
2,520 litres
Step-by-step explanation:
Dimensions of a water tank:
Length (l) = 2.0 m,
wide (w) = 1.4 m,
Depth (h)= 1.8 m,
Volume of the tank (V)
LWH
2.0m × 1.4m × 1.8 m
= 5.04 m³
= 5.04 × 1000 litres
/* 1m³ = 1000 litres */
5,040 litres
Therefore,
The capacity of the water tank = 5.04 m³
5,040 litres
In a coffee shop "Scratch and Win" contest, one out of three cards is a winner. What is the probability that Shenice would first win on her third try?
a.4/9
b. 1/27
c.4/27
d. 8/81
Answer: C.) 4/27
Step-by-step explanation:
Given that:
One out of three cards is a winner :
P(winning) = 1 / 3
Therefore, P(not winning) = P(losing) :
1 - P(winning) = 1 - 1/3 = 2/3
Probability that shenice will first win on her third try can be interpreted as:
1st try = lose, 2nd try: lose, 3rd try : win
P(losing) × p(losing) × p(winning)
(2/3) × (2/3) × (1/3)
4 / 27
Probability of first winning on third try = 4/27
HELP AM BEING TIMED!!!!!!!!!!
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just got it right EDG 2021