A group of campers is going to occupy 6 campsites at a campground. There are 16 campsites from which to choose. In how many ways can the campsites be chosen?
Answer:
The campsites can be chosen in 5,765,760 different ways.
Step-by-step explanation:
Given that a group of campers is going to occupy 6 campsites at a campground, and there are 16 campsites from which to choose, to determine in how many ways the campsites can be chosen, the following calculation must be performed:
16 x 15 x 14 x 13 x 12 x 11 = X
240 x 182 x 132 = X
240 x 24,024 = X
5,765,760 = X
Therefore, the campsites can be chosen in 5,765,760 different ways.
The points A(-3, -4) and B(5, 0) form a line segment. Find the coordinates of the point P that partitions segment AB in a 2:3 ratio.
Answer:
Step-by-step explanation:
let the coordinates of P be (x,y)
[tex]x=\frac{mx2+nx1}{m+n} \\y=\frac{my2+ny1}{m+n} \\x=\frac{2(5)+3(-3)}{2+3} \\x=\frac{10-9}{5} =\frac{1}{5} =0.2\\y=\frac{2(0)+3(-4)}{2+3} \\y=\frac{0-12}{5} =\frac{-12}{5} =-2.4\\[/tex]
so coordinates of P are (0.2,-2.4)
Write .125 as a fraction reduced to lowest terms.
Answer:
1/8
Step-by-step explanation:
Hope this helps you! <33
Answer:
1/8
Step-by-step explanation:
We all know 1/2 is 0.5, right?
If you split that in half again, you get 0.25 as 1/4.
If you divide that again by two, you get 1/8 as 0.125
On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for trials of this experiment.
170, 206, 218, 232, 238, 248, 254, 264, 268, 281, 281, 281, 316, 320, 320, 329, 336, 365, 399, 400, 438, 438, 452, 524, 724, 806
1. measures of central tendency do not exist for this data set?
a. Mean
b. Median
c. Mode
d. None of these measures
2. Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. Which measures of central tendency would be affected by the change? Choose all that apply.
Answer:
1.d. None of these measures (do not exist interpreted as all of these exist)
2.The mean is increased from 346.8 to 361.32
Step-by-step explanation:
After calculations we find that all the measures of central tendency exist for this data. The mean , median and mode can be easily calculated .
The mean is 346.8
The mode is 281
The median is 316
Suppose that the measurement 806 (the largest measurement in the data set) were replaced by 1169. The mean would be affected by the change.
The mean is 361.32
The mode is 281
The median is 316
The mean is increased from 346.8 to 361.32
Consider the given statements below.
• A central angle in a circle measures 70°.
An inscribed angle in the same circle also measures 70°.
Which statement best describes the relationship between the arcs
intersected by these angles?
.
1 of 4 QUESTIONS
The inscribed angle intersects an arc that is twice the measure of the arc
intersected by the central angle. The inscribed angle's arc measures 70°,
and the central angle's arc measures 35º.
The inscribed angle intersects an arc that is half the measure of the arc
intersected by the central angle. The inscribed angle's arc measures 35º,
and the central angle's arc measures 70°.
The inscribed angle intersects an arc that is half the measure of the arc
O intersected by the central angle. The inscribed angle's arc measures 70°
and the central angle's arc measures 140°.
The inscribed angle intersects an arc that is twice the measure of the arc
O intersected by the central angle. The inscribed angle's arc measures 140°,
and the central angle's arc measures 70°.
Answer:
1-90
2-80
3-033
Step-by-step explanation:
Match each expression with the correct description.
Due to the heavy rains, all pallets of blocks have become wet and the weight of each block has altered. It is desired to estimate the average weight of the blocks thus wet. For this, a sample of 15 blocks is selected and the following weights are recorded in kilograms: 45.8, 43.9, 46.2, 48.5, 47.2, 45.8, 49.1, 43.9, 47.6, 42.8, 46.5, 44.9, 46.8, 45.8 and 44.6; Estimate µ, the average weight of all pallets of blocks, and determine a bound for the estimation error.
Answer:
To find the estimated value we add all of them together then divide it by the amount of them
45.8+43.9+46.2+48.5+47.2+45.8+49.1+43.9+47.6+42.8+46.5+44.9+46.8+45.8 +44.6=689.4
now we divide it by 15 since there is 15 blocks so
689.4 divided by 15=45.96
so the average weight is 45.96
PLEASE HELP I WILL GIVE BRAINLIEST AND 25 POINTS!!!
The following function represents the value of a truck, in dollars, after x years:
f(x) = 29,000(0.88)x
What does 0.88 represent?
The decrease in the value of the truck, which is 12%
The present value of the truck
The value of the truck after x years
The decrease in the value of the truck, which is 88%
9514 1404 393
Answer:
(a) The decrease in the value of the truck, which is 12%
Step-by-step explanation:
The only reasonable choice among the offered answers is the one shown above.
__
We would describe the value 0.88 as the annual multiplier of the truck's value, which decreases 12% each year.
Casandra wants to buy a dress. She had of the money. Her mom gave her $120.00 but she was still short of the cost of the dress. What is the price of the dress?
I dont think I can be answered with just the given info... is some of the q missing still?
Closest we can do with above is dress cost = 120+ c
Need help with this question
Answer:
cant see it
Step-by-step explanation:
just type it out
Which of the quadratic functions has the narrowest graph?
y = 2x^2
y = –x^2
y = 1/8x^2
y = 1/6x^2
A quadratic function's graph being wide or narrow is determined or depended on a-term:
[tex] \large{y = a {x}^{2} + bx + c}[/tex]
If |a| has a lot of value, for example a = 2 or a = 100. The graph will get narrower if increasing the value of |a|. On the other hand, If |a| has small value, for example a = 1/2 or a = 1/10000. The graph would be wide.
Also it does not matter if a-term is negative or not since a-term being positive or negative determines if a parabola is upward or downward. Only |a| determines how narrow/wide the graph is.
From the question, it is clear that the parabola y = 2x^2 is the narrowest graph since it has the highest |a| value out of all choices.
Answer
y = 2x^2Given the triangle below, what is the length of the third side, rounded to the
nearest whole number?
B
18
A
12
620
Triangle not drawn to scale
A. 18
B. 14
C. 16
D. 20
Answer:
Option C
Step-by-step explanation:
In this question measure of two sides and and the angle between these sides of a triangle is given.
We have to calculate the measure of third side.
By applying cosine rule in the given triangle.
BC² = AB² + AC² - 2(AB)(AC)cos(A)
BC² = (18)² + (12)² - 2(18)(12)cos(62°)
BC² = 324 + 144 - 202.81
BC² = 265.19
BC = 16.28
BC ≈ 16 units
Therefore, Option C will be the correct option.
can someone help me with this?
Answer: 22
Step-by-step explanation: 44:2=22
Is 4 over 5 equals 48 over 60 a true proportion?
Answer:
0.8 you yes both of them has the same answer , so it is a true portion
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
[tex]\frac{4}{5} =\frac{48}{60}[/tex]
This is a true proportion because when you cross multiply you get the same product.
[tex]48*5=240[/tex]
[tex]4*60=240[/tex]
Will mark Brainlest helppp plllllssss
Answer:
2h
Step-by-step explanation:
f(3 + h) = 2(3 + h)^2 + 1
= 2(3^2 + h^2) + 1
= 2(9) + 2h^2 + 1
= 18 + 2h^2 + 1
= 2h^2 + 19
f(3) = 2(3)^2 + 1
= 2(9) + 1
= 18 + 1
= 19
2h^2 + 19 - 19 / h
2h^2 / h
2h
Your city has a sales tax rate of 6%. If you just spent $30 on sales tax, how much were your purchases?
Answer:
30.00×.06=1.8+30.00=31.8
Given m||n, find the value of x.
BC=
Round your answer to the nearest hundredth.
Answer:
1.71 = BC
Step-by-step explanation:
take 70 degree as reference angle
using cos rule
cos 70 = adjacent / hypotenuse
0.3420 = BC / 5
0.3420*5 = BC
1.71 = BC
I need help with this problem
Answer:
x = 21, y = 40
Step-by-step explanation:
The angle above (7x - 13) is (2x + 4 ) ← alternate angle
(7x - 13) and (2x + 4) are adjacent angles and sum to 180° , then
7x - 13 + 2x + 4 = 180
9x - 9 = 180 ( add 9 to both sides )
9x = 189 ( divide both sides by 9 )
x = 21
Then
2x + 4 = 2(21) + 4 = 42 + 4 = 46
(2x + 4) and (3y + 14) are adjacent angles and sum to 180° , so
46 + 3y + 14 = 180
60 + 3y = 180 ( subtract 60 from both sides )
3y = 120 ( divide both sides by 3 )
y = 40
Consider the following graph:
What is the limit as it is approaching -1 from the right, what is the limit?
Answer:
The limit is 0, and the answer is given by option E.
Step-by-step explanation:
Limit to the right:
The limit of a function approacing a value of x to the right is given by the value of the function quite close to the point, looking to the right.
In this question:
Approacing by the right(x quite close, but more than -1, that is, -0.9999...), y tends to 0, so the limit is 0, and the answer is given by option E.
What is the HFC of the following: 4 (x2-x+1) and 28 (x3+1)?
Your Answer is in the above image.
I need help I’ll mark u as brainlest
Answer:
V = 64 in^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 4^3
V = 64 in^3
Answer:
64
Step-by-step explanation:
volume of a cube formula: V = a^3
a is just one of the edges
[tex]4^{3}[/tex] = 64 = V
:)
Which statement is true regarding the graphed functions?
Answer:
I am pretty sure that it's the second one
please answer i will mark brainliest :)
Answer:
c I think that's the right answer
Y=x^2-x what's the domaine and range
Answer:
y = 0 domain is all real numbers and range is 1 i believe
Step-by-step explanation:
hope this helps
please solve in the next 10 minutes pleaseeee
Answer:
43.82 mph
266.67 feet
Step-by-step explanation:
Given :
S = √30fl
S = speed of car
f = drag Coefficient
l = Length of skid mark
If f = 0.8 ; l = 80 feets
s = √30fl
s = √(30*0.8*80)
s = √1920
s = 43.817
s = 43.82 mph
B.)
s = 80 mph
f = 0.8
s = √30fl
80 = √30*0.8*l
80 = √24l
Square both sides
80² = 24l
6400 = 24l
l = 6400/24
l = 266.67 feets
PLEASE HELP ME WITH THIS ONE QUESTION
How many combinations with repetition are allowed if n = 6 and r = 3?
A) 27
B) 20
C) 18
D) 56
Answer:
D. 56
Step-by-step explanation:
The general solution for the number of combinations with repetition is represented by the following expression:
[tex]x = \frac{(n + r - 1)!}{r!\cdot (n-1)!}[/tex] (1)
Where:
[tex]n[/tex] - Total number of elements.
[tex]r[/tex] - Number of the sample.
If we know that [tex]n = 6[/tex] and [tex]r = 3[/tex], then the number of combinations with repetition:
[tex]x = \frac{(6+3-1)!}{3!\cdot (6-1)!}[/tex]
[tex]x = 56[/tex]
Hence, correct answer is D.
If the circumference of the circle is 88 cm, then its radius is 14 cm.
true or false?
Answer:
The radius is approximately 14 cm
Step-by-step explanation:
The circumference
C = 2 * pi *r
88 = 2 * pi *r
Divide by 2
44 = 3.14 *r
Divide by 3.14
44/3.14 = r
14.01273885=r
Tập nghiệm của phương trình 2^x=-1 là
Step-by-step explanation:
Tập nghiệm của [tex]2^x=-1[/tex] là tập rỗng nha bạn. Vì 2 là số dương nên mũ mấy cũng dương hết.
Which graph shows a dilation
Answer:
show the graphs?
Step-by-step explanation: