Answer:
364 students
Step-by-step explanation:
Write the proportion 13/18=n/504. N represents the students that will be riding the bus. Now find n, the answer is 364 students. Hope that helps! :)
Answer: 364 students
Step-by-step explanation:
1. 13/18 = x/504
2. 13 • 504 = 6,552
3. 6,552 ÷ 18 = 364
What is the best description of the data?
Height Tally Frequency
65" | 1
66" | 1
67" |||| 9
68" ||| 8
69" ||| 3
70" || 2
71" | 1
Six students are taller than 68 inches.
Most of the students are 67 inches tall.
One student is 65 inches tall.
Most of the students are 67 or 68 inches tall.
Answer: Most of the students are 67 or 68 inches tall.
Step-by-step explanation:
From the information given, option A is correct as six students are taller than 68 inches.
Also, most of the students are 67 inches tall since there are 9 students who are 67 inches tall. Also, only one student is 65 inches tall.
The best description of the data is that most of the students are 67 or 68 inches tall. 9 students are 67 inches tall while 8 students are 68 inches tall. This means 17 out of 25 students have those heights. Therefore, most of the students are 67 or 68 inches tall is the correct option.
Only six students (24 percent) are taller than 68 inches.
According to provided data set consisting of height measurements for a group of students.
The data has been organized into a tally chart,
with each tally representing one student's height falling within a particular category.
To analyze this data further,
we can calculate the cumulative frequency for each height category.
The cumulative frequency is the sum of the frequencies up to and including the current category.
Using the provided data,
we can calculate the cumulative frequency as follows,
65" | 1 |
cf = 1 66" | 1 |
cf = 2 67" |||| 9 |
cf = 11 68" ||| 8 |
cf = 19 69" ||| 3 |
cf = 22 70" || 2 |
cf = 24 71" | 1 |
cf = 25
Based on this data,
we can make several observations.
Firstly, there is only one student who is 65 inches tall.
Secondly, most of the students (44% or 11 out of 25) are 67 inches tall, with a similar number (32% or 8 out of 25) being 68 inches tall.
Finally, only six students (24%) are taller than 68 inches.
Learn more about the percent visit:
https://brainly.com/question/24877689
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How high is the end of the ladder against the building?
Answer:
D.
Step-by-step explanation:
its a right triangle, so we can use the pythagorean theorem to find h
(pythagorean theorem is a^2+b^2=c^2, c is the hypotenuse)
h^2+4^2=13^2
h^2+16=169
h^2=153
h=sqrt153
h≈ 12.4ft
Grahg x= 5. Plz il do anything
Answer:
Y=5 and x=0
XENICAL AND THE REST
Answer:
ta-da!
the red line is x=5
the blue line is y=5
NO LINKS!! PART 2a. Find the measure of the arc or angle indicated.
9514 1404 393
Answer:
2) 198°
4) 99°
6) 90°
Step-by-step explanation:
The relevant relations are ...
an inscribed angle is half the measure of the arc it interceptsthe total of arcs around a circle is 360°__
2) Arc WXY = 2×angle WDY = 2(99°) = 198°
__
4) Arc CLE is 2×angle CDE = 2(97°) = 194°
Arc DE = 360° -72° -194° = 94°
angle C = (arc DE +arc EL)/2 = (94° +104°)/2 = 99°
__
6) angle C = (360° -arc EC -arc CD)/2 = (360° -71° -109°)/2 = 90°
Answer:
2.
Given:
m arc WXY=2×99°=198°[central angle is equal to the twice of its inscribed angle]
4.Arc CLE =2x< CDE = 2×97° = 194°[central angle is equal to the twice of its inscribed angle]
again
Arc DE =360° -72° -194° = 94°[from complete turn]
and
angle C =½ (arc DE +arc EL) =½ (94° +104°) = 99°
6) angle C =½ (360° -arc EC -arc CD)
=½ (360° -71° -109°)= 90°
2x is subtracted from the square of a number
Answer:
let the number be x
x²-2x=0
here it is your quadratic equation
the spinner shown below has 12 congruent sections. the spinner spun 150 times. what is a reasonable prediction for the number of items the spinner will land on an even number. (pls help asap!!)
Answer:45
Step-by-step explanation:
There are 3 even numbers out of A total of 8 numbers.
Each spin would have a 3/8 chance of landing in an even number.
Multiply the chance of landing on even by number of spins:
120 x 3/8 = 360/8 = 45
The answer would be 45 times.
f(x)= square root of x-5. find f-1 (x) and it’s domain
Answer:
Option B.
Step-by-step explanation:
Inverse function:
Suppose we have a function y = f(x). To find the inverse function, we exchange x and y on the original function, and then isolate y.
The domain of the inverse function(x values) is the range of the original function(y values).
Original function:
[tex]f(x) = \sqrt{x} - 5[/tex]
Domain is [tex][0,\infty)[/tex], and when [tex]x = 0, f(x) = -5[/tex]. So the range is [tex][-5,\infty][/tex], that is, [tex]y \geq -5[/tex]
Inverse function:
[tex]y = \sqrt{x} - 5[/tex]
Exchanging x and y
[tex]x = \sqrt{y} - 5[/tex]
[tex]\sqrt{y} = x + 5[/tex]
[tex](\sqrt{y})^2 = (x+5)^2[/tex]
[tex]y = (x+5)^2[/tex]
The inverse function is [tex]f^{-1}(x) = (x+5)^2[/tex]
Domain:
Range of the original function is [tex]y \geq -5[/tex], so the domain of the inverse function is [tex]x \geq -5[/tex]. The correct answer is given by option B.
Answer:
B. f ^ -1 (x) = (x + 5) ^ 2;
x > -5
Step-by-step explanation:
Ap e x
In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?
Answer:
[tex]\cos(W) = \frac{9}{41}[/tex]
Step-by-step explanation:
Given
[tex]\angle Y = 90^o[/tex]
[tex]YX = 40; XW = 41; WY = 9[/tex]
Required
Determine [tex]\cos(W)[/tex]
The question is illustrated with the attached image.
So:
[tex]\cos(W) = \frac{Adajacent}{Hypotenuse}[/tex]
[tex]\cos(W) = \frac{WY}{XW}[/tex]
This gives:
[tex]\cos(W) = \frac{9}{41}[/tex]
What is the equation of this parallel line?
Answer:
y = 5x - 6
Step-by-step explanation:
y - 9 = 5 ( x - 3 )
y = 5x - 15 + 9
y = 5x - 6
50 POINTS
What is the correct reason for statement 2?
x+1/2(x-4)=1/2x+6(x-2)
how many solutions does the equation have?
A. 0
B. 1
C. 2
D. 4
PLEASE HURRY
Answer:
B) 1
Step-by-step explanation:
x+1/2(x-4)=1/2x+6(x-2)
x+1/2x-4/2=1/2x+6x-12
x+1/2x-1/2x-2=6x-12
x-2=6x-12
x-6x-2=-12
-5x-2=-12
-5x=-12+2
-5x=-10
5x=10
x=10/5
x=2
Ivan wants to fill with foam the empty space left in a cube-shaped box after he places a basketball in the box. How many cubic inches of foam is needed if the radius of the basketball is 4.75 in. and the sides of the box are each 9 in.? Use 3.14 for π, and round your answer to the nearest whole number. in.3
Answer:
280 cubic inches
Step-by-step explanation:
Cubic inches of foam required = volume of the box - volume of the basketball
The box has a shape of a cube, so that;
volume of the box = [tex]l^{3}[/tex]
where l is the length of the sides of the box.
volume of the box = [tex]9^{3}[/tex]
= 729 cubic inches
volume of the box = 729 cubic inches
The basketball has the shape of a sphere, so that;
volume of the basketball = [tex]\frac{4}{3}[/tex] [tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]\frac{4}{3}[/tex] x 3.14 x [tex](4.75)^{3}[/tex]
= 448.693
volume of the basketball = 448.693 cubic inches
Thus,
cubic inches of foam required = 729 - 448.693
= 280.307
The cubic inches of foam to be used is 280 cubic inches.
There are 2,598,960 possible 5-card hands that can be dealt from an ordinary 52-card deck. In a 5-card hand of poker, a flush is a hand where all 5 cards are of the same suit. Assuming a well-shuffled deck of cards and a random deal, what is the probability of being dealt a flush
Answer:
The answer is "0.0019808"
Step-by-step explanation:
[tex]\to \text{P(deall a flush) =P(select one of 4 suits and then select 5 out of 13 cards from this suit)}[/tex]
[tex]=(4\ C_1)\times \frac{(13\ C_5)}{(52\ C_5)} \\\\=4\times \frac{1287}{2598960}\\\\=0.0019808[/tex]
If Lisa were to plant six apple trees and only four of them were successful, she would have minus two apple trees. How many apple trees would Lisa have if she added fourteen more to the lasting apple trees?
Answer:
18
Step-by-step explanation:
please help! fill in the blank with a number to make an expression a perfect square
Answer:
need help too
Step-by-step explanation:
Keely and Grayson played a board game. Keely scored
108 points, which was 6 times as many points as
Grayson scored. The equation below can be used to
find the number of points Grayson scored.
108 = 6g
How many points did Grayson score?
You randomly choose one of the pens shown. What is the theoretical probability of choosing a black pen?
A drawing shows 2 blue pens, 2 black pens, and 1 red pen.
The theoretical probability is_____
PLS HURRY!
Answer:
[tex] \frac{2}{5} [/tex]
Step-by-step explanation:
The probability of event A happening is denoted by P(A). The probability of event A happening is given by the formula below:
[tex]\boxed{P(A) = \frac{number \: of \: favourable \: outcomes \: in \: A}{total \: possible \: outcomes}} [/tex]
Since there are 2 black pens, and only one pen is chosen, the number of favourable outcomes in choosing a black pen is 2.
The total possible outcomes is the total number of pens in this case.
P(black pen)
[tex] = \frac{2}{2 + 2 + 1} [/tex]
[tex] = \frac{2}{5} [/tex]
This is the theoretical probability as it is not determined from experimental results.
Can someone help me out with my grades are bad
evaluate the expression (4×5)2-6+3
Answer:
40x - 3
Step-by-step explanation:
4x(5)(2)−6+3
=40x+−6+3
=40x+−6+3
=(40x)+(−6+3)
=40x+−3
Enter a number in each box to create an expression equivalent to -3 (-2 + 5)
Answer:
3*-3+0*5
Step-by-step explanation:
f(x) = (2x + 5)(x+3)(3x – 10) (2x - 8) has zeros at x = -3, x =-5/2, x=10/3
and x = 4.
What is the sign of f on the interval
-5/2
Choose 1 answer:
A) f is always positive on the interval
B) F is always negative on the interval
C) f is sometimes positive and sometimes negative on the interval.
Answer:f is sometimes positive and sometimes negative on the interval
Step-by-step explanation:
Which equation has the same solution as x2 - 6x - 14 = 0?
А
(x + 3)2 = 23
B
(x - 3)2 = 23
С
(x + 3)2 = 5
D
(x - 3)2 = 5
Answer:
i think it is option c
Step-by-step explanation:
3. Jayne, Carlos, June, and Pedro each measured their dogs' weights, but each used a different measurement. Place the four dogs in order from lightest to heaviest.
Jayne's Dog 42 lbs
Carlos' Dog 624 oz
June's Dog 41 lbs,
7 oz Pedro's Dog
665 oz
Answer:
Carlos, June, Pedro, Jayne
least to greatwst
Caroline puts $400 into a savings account that earns 6% annually. Write a function that represents this situation, where t is the time in years. Solve algebraically after how many years she will get $1200 in her account (round it to the nearest year).
Answer: 19 years
Step-by-step explanation:
Given
Amount invested [tex]\$400[/tex]
Rate of interest [tex]R=6\%[/tex]
after 1-year amount becomes
[tex]A=400\left (1+6\%\right)\\A=400\left (1+0.06\right)\\A=400\times 1.06\\A=\$424[/tex]
After n years it is
[tex]A=400\left (1.06\right)^n[/tex]
Sum accumulated is [tex]\$1200[/tex]
[tex]\Rightarrow 1200=400\left(1.06\right)^n\\\Rightarrow 3=\left(1.06\right)^n\\\text{Taking log both sides}\\\Rightarrow n=\dfrac{\ln 3}{\ln 1.06}\\\\\Rightarrow n=18.85\approx 19\ \text{years}[/tex]
Bag A has five red marbles and two green ones. Bag & has seven red
marbles and three green ones.
Which bag has the greater probability of drawing a green marble?
Answer:
bag B
Step-by-step explanation:
bag A: 5R and 2G
bag B: 7R and 3G
Bag A probability for green is 2/7
bag B probability for green is 3/10
if we convert the fractions to have a common denominator:
bag A: 20/70
bag B: 21/70
so bag B has the greater probability of drawing a green marble
Find the slope of the line graphed below
Answer:
the answer to this equation is
4,4
Formula for finding perimeter of a triangle
Answer:
you can find perimeter of a triangle by finding it perimete by a scale D
Answer:
( AB+BC+CA)= parameter of a triangle
HELP 50 POINTS
FOX ≅ ∆ELK… so what’s m?
I need your help urgently the instructions are find a rule which connects the two quantities in each of the following table
Answer:
i dont understand
Step-by-step explanation:
1 i
2 d
3 k
Shalini’s vNM utility for money is u(x) = x1/2, where x is her final wealth level. She currently has $1600 and is uninsured. When she drives her car she faces the following gamble. With 90% probability she will not get into an accident, and with 10% probability she will get into an accident and incur $1500 in auto damages. What is the maximum amount she would be willing to pay for an insurance policy that completely covers any auto damages?
Answer:
Shalini
The maximum amount that she would be willing to pay for an insurance policy that completely covers any auto damages is:
= $150.
Step-by-step explanation:
Utility for money, u(x) = x1/2
x, her final wealth level = $1,600
Loss from accident
Probability Loss incurred Expected Loss
90% $0 $0 (90% * $0)
10% $1,500 $150 (10% * $1,500)
100% $150
b) The amount that Shalini would be willing to pay for an insurance policy for all auto damages is limited to her expected loss from auto damages. Since she has a 90% chance of not being involved in an accident, her expected loss will be reduced to $150. This represents 10% of the loss from damages that she would incur if she was involved in an accident, which is 10% probable.