Answer:
chocolate= 180 students
vanilla= 120
strawberry= 210
mango= 210
Step-by-step explanation:
The chocolate section of the pie chart is at a right angle (90 degrees), which means a quarter of the students prefer chocolate
720/4= 180
The vanilla section is 60 degrees which is 2/3 of 90
180/3=60
60x2=120
the mango and strawberry sections represent whats left which is 420 students. The sections are equal to each other so they're each 210 students
fine the lower and upper quartiles and interquetile range.
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71.
Answer:
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
Step-by-step explanation:
Given data is:
5, 12, 17, 23, 28, 31, 37, 41, 42, 49, 54, 58, 65, 68, 73, 71
The lower quartile is the first quartile and upper quartile is the third quartile.
A median divides the data set in two equal halves.
Lower quartile also known as first quartile is the middle value in the first half.
The first half is:
5, 12, 17, 23, 28, 31, 37, 41
As the number of values is even, the quartile will be the average of two middle values
[tex]Q_1 = \frac{23+28}{2} =\frac{51}{2}= 25.5[/tex]
Upper quartile is the average of middle two values in the second half when the number of values is even.
42, 49, 54, 58, 65, 68, 73, 71
[tex]Q_3 = \frac{58+65}{2} = \frac{123}{2} = 61.5[/tex]
Interquartile range is the difference of third quartile and first quartile
[tex]IQR = Q_3 - Q_1 = 61.5-25.5=36[/tex]
Hence,
Lower Quartile = 25.5
Upper Quartile = 61.5
IQR = 36
Help I’m being timed!!
Answer:
False the radius would be 6.5
Step-by-step explanation:
Hope this Helps! :)
What percentage of students age 15 and above travel to school by car? Round to the nearest whole percent.
Answer:
18%
Step-by-step explanation:
First, we need to find out the underage of 15 for walking/biking. 152-65=87
then we subtract 87 and 60 from 165 to get 18%
5 · (4 · x) = ? help
What is 2 to the 400th power factorial?
Step-by-step explanation:
2^400=2^(2×200)
2^(2×200) =[2^(2) ]^200
Now, [2^(2) ]^200=4^200
The power of 2 in 400! is 397.
What is the method of determination of power of prime in Factorial ?Let p is the prime number whose power is to be found
Let n is the factorial number then
p in n! = (n /p) + (n/p²) +(n/p³) + .......
until Numerator < Denominator
and after division only the integer part is taken
Therefore to determine the power of 2 in 400!
2 in 400! = (400 /2) + ( 400 /2²) + (400 /2³) +(400 /2⁴) +(400 /2⁵) +(400 /2⁶) +(400 /2⁷) +(400 /2⁸) + above this N < D
2 in 400! = 200 +100 +50+25+12+6+3+1
2 in 400 = 397
Therefore the power of 2 in 400! is 397.
To know more about power of prime in Factorial
https://brainly.com/question/4680412
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PLS HELP PLS PLS PLS WILL MARK BRAINLIEST
select the table representing a Linear function. (graph them if necessary)
Pls help I’m failing math
Answer:
$27.14
Step-by-step explanation:
Price of 1 DVD: $9.10
Price of 4 DVDs: 4 * $9.10 = $36.40
Discount: 25%
Now we find 25% of $36.40.
25% of $36.40 =
= 0.25 * $36.40
= $9.10
The 25% discount amounts to $9.10. We now subtract $9.10 from $36.40 to find the discounted price.
$36.40 - $9.10 = $27.30
Now we need to apply the 6.75% tax to $27.30.
6.75% of $27.30 =
= 0.0675 * $27.30
= $1.84
The sales tax is $1.84.
Now we add the sales tax amount to the total discounted price.
$27.30 + $1.84 = $29.14
Answer: $27.14
Given the function y=2x and the domain (-1, 0, 1, 2), the corresponding range is (-2,
0.2, 6).
True
False
How many 1/3 inch cubes does it take to fill a box with width 2 213 inches, length 3 1/3
inches, and height 2 1/3 inches?
Answer:
560 cubes
Step-by-step explanation:
Is 2 213 supposed to read 2 1/3? First calculate the volume of the box
V_box = 8/3 * 10/3 * 7/3 = 560/27 cubic inches
Now calculate the volume of your 1/3 inch cube:
V_cube = 1/3 * 1/3 * 1/3 = 1/27 cubic inches
Now divide the V_box by V_cube:
Number of boxes = (560/27) / (1/27) = (560/27) * (27/1) = 560 cubes
The side lengths of a triangle are 5, 3, and 4. Is this a right triangle?
A. Yes, because 32 +
*#2352
B. Yes, because 32 + 42 = 52,
O C. No, because 32 +42 + 52.
D. No, because 3+ 4+5.
Step-by-step explanation:
Given that,
The side lengths of a triangle are 5,3 and 4.
For a right triangle, the Pythagoras theorem is applicable. We know that, for a right triangle,
[tex]H^2=b^2+h^2[/tex]
Where
H is Hypotenuse
b is base
h is perpendicular height
If we put b = 3. h = 4, then
[tex]H^2=3^2+4^2\\\\H^2=9+16\\\\H=5[/tex]
Hence, it will form a right triangle.
Which of the following methods can be used to find the derivative of y = arcsin x with respect to z ?
|. Use the quotient rule to differentiate
II. Use the chain rule to differentiate sin(arcsin x) = 2.
III. Use implicit differentiation to differentiate the function y in the relation sin y = x with respect to z.
A) I only
B) Ill only
C) II and III only
D) I, II, and III
Answer:
B) Ill only
Step-by-step explanation:
This is because y = arcsin x can be re-written as sin y = x, We then differentiate sin y = x implicitly with respect to z to obtain
d(siny)/dz = dx/dz
(cosy)dy/dz = dx/dz
dy/dz = (1/cosy)dx/dz
what is the 50th term in the arithmetic sequence -6,-1,4...?
Answer:
1.9
2.14
3 19
4.24
5.29
6.34
7. 39
8.44
9.49
10.54
11.59
12.64
13.69,
14.74
15.,79
16.,84
17.,89
18.,94
19.99
20.,104
21.109
22.,114
23.,119,
24.124
25.,129
26.,134,
27.139
28. 144
29.,149,
30.154
31.,159,
32. 164,
33.169,
34.174
35.179,
36 184,
37 189
38 ,194
39 ,199
40 ,204
41 209
42 214
43 219
44 224
45 229
46 234
47 239
48 244
49 249
50 254
Step-by-step explanation:
Counting up by 5
simplify 5(6k+3+7k+3y)
Answer:
65k+15+15y
Step-by-step explanation:
distribute the 5
30k+15+35k+15y
add all like terms
65k+15+15y
Answer:
65k+15y+15
Step-by-step explanation:
Add 6k and 7k.5(13k+3+3y)
Apply the distributive property.
5(13k)+5⋅3+5(3y)
Simplify.
65k+15+15y
Move 15.
65k+15y+15
HELP PLZ
The PTA plans a spring carnival on a Saturday in April. If it's a sunny day, they estimate
that they will make $3,000, but if it rains, they will lose $600 because nobody will come.
There's a 30% chance of rain on Saturday. Create a probability model.
Answer:
The probability model is
= P(A or B)
Step-by-step explanation:
a) Data and Calculations:
Estimated revenue if the day is sunny = $3,000
Estimated loss if the day is rainy = $600
The probability of rain = 30%
Therefore, the probability of sunshine = 70% (100 - 30)
The probability model is based on the probability of rain or sunshine
= P(A or B)
= A*70% - B*30%
The outcome from either rain or sunshine
= ($3,000 * 70%) -($600 * 30%)
= $2,100 - $180
= $1,920
If x < 0 and y > 0, determine the sign of the real number. (a) x y positive negative (b) xy2 positive negative (c) x − y xy positive negative (d) y(y − x) positive negative
Answer:
From the question it is given that x<0 and y>0 or in other words x is negative and y is positive.
(a)x y : x is negative and y is positive
⇒negative x positive = negative
Therefore, xy is negative
(b)x[tex]y^{2}[/tex] : x is negative and [tex]y^{2}[/tex] is positive
⇒negative x positive = negative
Therefore, x[tex]y^{2}[/tex] is negative
(c) (x − y)xy : x is negative and [tex]y^{2}[/tex] is positive
⇒(x − y) is negative and xy is negative {from (a)}
⇒negative x negative = positive
Therefore, (x-y)xy is negative
(d) y(y − x): x is negative and y is positive
here y - x is positive
⇒positive x positive = positive
Therefore, (y-x)y is negative
To rent a certain meeting room, a college charges a reservation fee of $48 and an additional fee of $8.80 per hour. The film club wants to spend less than $100.80 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
6 hours
Step-by-step explanation:
48 + 8.80
56.8 + 8.80
65.6 +8.80
74.4 + 8.80
83.2 +8.80
92 + 8.80
100.8
How many solutions does -3x+15=3(5-x) have
Answer:
Infinite solutions
Step-by-step explanation:
So if simplified it would be
-3x+15=15-3x
Which is basically the same thing if arranged
15-3x=15-3x
-3x+15 can also be 15-3x still the same thing as adding 15 to -3x
So since these are equal anything could be used
like try 0
Both get 15
Try 1
Both get 12
Try legit any number
youll get the same results (I would choose 3 positive easy ones, 0,1,2 and 3 negative ones -1,-2,-3)
Solve for t.
-35 = 7t
O t= -5
Ot=-
O t = 28
Of = 42
Answer:
Literally divide by 7 and you get -5
Find the unit rate of miles 1/5 in 1/65hour
Answer: 13 miles per hour
Step-by-step explanation:
1/5mi=1/65hr
65/5mi=hr
13mi hr
Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15...
A. an = 9 + 2(n-1)
B. an = 9 + 2(n+1)
C. an = 9 + 2
D. an = 9 * 2(n)
Answer:
2n+7
Step-by-step explanation:
find the difference
and see the difference from the 2 Times table to the original sequence
and write it as an equation for this sequence
Answer:
A
Step-by-step explanation:
4{h-3[f-6(f-h)]} please help its urgent
need a brainliest for this answer.. it took long to do.
find the perimeter of 15ft 13ft
whoever’s correct i will make their question as brainliest! :) be quick please
A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost $17.20. Unfortunately, he breaks 3 more panes while repairing the damage. What is the cost of another 3 panes of glass? Another 3 panes of glass cost $
q ?????????????
Answer:
$6.45
Step-by-step explanation:
The time required to empty a tank varies as inversely as the rate of pumping. If a pump can empty a tank in 45 min at the rate of 600 kl/min, how long will it take the pump to empty the same tank at the rate of 1000 kl/min?
okk
Step-by-step explanation:
hii
am
Jack
from
United State
America
Answer:
27 minutes.
Step-by-step explanation:
R = k/t
Substituting given info
600 = k/45
k = 45 * 600 = 27000
So the relation is S = 27000/t
So if R = 1000
1000 = 27000/t
t = 27000/ 1000
t = 27.
Question 5
A
B
C
D
PLEASE HELP!!!!!!
Answer:
a)x=-2.5 or x=1
Step-by-step explanation:
it's the answer
hope It helps
jesse bought a car for 2,200,000 he sold for a 20% profit from the money raised from the sale he bought another more expensive car which unfortunately he had to sell for a 10% loss that was his overall profit or loss
Answer:1,76,000 Profit
Step-by-step explanation:
Given
Jesse initially bought the car for 2,200,000 and sold it for 20 %
S.P.=C.P.(1+Profit%)
so, the Selling price of the car is S.P.=[tex]2,200,000\times 1.2=2,640,000[/tex]
profit=2,640,000-2,200,000=4,40,000
After this, he bought another car and sells it for a 10 % loss
So, the selling price of the car is [tex]2,640,000\times 0.9=2,376,000[/tex]
loss=2,640,000-2,376,000=2,64,000
Net Profit or loss=4,40,000-2,64,000=1,76,000 Profit
Solve the following system of equations using the elimination method. 5x + y = 9 –10x + 7y = 18 Question 6 options: A) (2,–6) B) (–7,3) C) (3,–4) D) (1,4)
Answer:
Step-by-step explanation:
5x + y = 9
-10x + 7y = 18
10x + 2y = 18
-10x + 7y = 18
9y = 36
y = 4
5x + 4 = 9
5x = 5
x = 1
(1,4)
answer is D
Find the slope of the line that passes through (10,3) and (3,12).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
7
0
07
을
help!!!!!!
Answer:
-9/7
Step-by-step explanation:
[tex]slope \: of \: line \\ \\ = \frac{12 - 3}{3 - 10} \\ \\ = \frac{9}{ - 7} \\ \\ = - \frac{9}{7} [/tex]
The employment status (employed or unemployed) of each individual in the U.S. workforce is a set of data that is of interest to economists, businesspeople, and sociologists. To obtain information about the employment status of the workforce, the U.S. Bureau of the Census conducts what is known as the Current Population Survey. Each month interviewers visit about 59,000 of the 98 million households in the United States and question the occupants over 14 years of age about their employment status. Their responses enable the Bureau of the Census to estimate the percentage of people in the labor force who are unemployed (the unemployment rate).
Question Completion:
(a) Identify the experimental unit.
(b) Define the population of interest to the Census Bureau.
(c) Identify the sample.
(d) What variable is being measured? Is it quantitative or qualitative?
(e) Describe the statistical inference that the economists intend to make.
Answer:
a. The experimental unit is the households visited.
b. The population of interest to the Census Bureau is all US-based individuals aged 14 and above.
c. The sample is 59,000 households.
d. The variable under measure is quantitative (percentage estimate of people in the labor force who are unemployed).
e. The economists want to make a statistical inference of the unemployed population based on the sample data analysis that they conduct.
Step-by-step explanation:
a) Data and Calculation:
Population of interest = 98 million households
Sample from population = 59,000 households
b) The unemployment rate is the percentage of the total workforce of a country that is unemployed and who may be actively seeking employment at a particular period. This implies that the unemployment rate may include persons who are active members of the workforce but may be underemployed.