Answer:
distance between the points is 8.602325267 units
Step-by-step explanation:
(5 , 8)=(x1 , y1)
(-2 , 3)=(x2 , y2)
use formula:[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
=[tex]\sqrt{(-2-5)^2 + (3-8)^2}[/tex]
=[tex]\sqrt{(-7)^2 + (-5)^2}[/tex]
=[tex]\sqrt{49 + 25}[/tex]
=[tex]\sqrt{74[/tex]
=8.602325267 units
Which data set has the widest spread? data set A: 3, 1, 2, 6, 7, 2, 5. data set B: 4, 9, 4, 5, 3, 6, 8. data set C: 1, 4, 6, 5, 7, 8, 5. data set D: 4, 3, 4, 7, 2, 3, 1. data set E: 5, 1, 4, 2, 6, 9, 2.
Answer:
e
Step-by-step explanation:
The spread of a data can be determined by calculating the range of the data
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
A = 7 - 1 = 6
B = 9 - 3 = 6
C = 8 - 1 = 7
D = 7 - 1 = 6
E = 9 - 1 = 8
Dataset E has the largest spread
Answer:
Data set:E
Step-by-step explanation:
If we remove all of the queens and jacks from a 52-card deck, how many unique four card hand combinations can we create?
1,299,480
3,258,024
651,604
6,497,400
Answer:
B. 3258024Step-by-step explanation:
If we remove all of the queens and jacks from a 52-card deck, we get:
52 - 8 = 44 cardsThe number of 4-card combinations:
44P40 = 44!/40! = 44*43*42*41= 3258024Correct choice is B
Answer: C 651,604
Step-by-step explanation:
Are you a Republican or Democrat? Why? Just curious to hear others opinions
What’s the line of y= -1/2x+2
Answer:
A picture of the graph is attached
Step-by-step explanation:
(-5/2) to the power of 2
Answer:
The answer of (-5/2) to the power of 2 is 6.25.
Solve for x.
2/3 (x − 7) = −2
The right Answer is:
x = 4
Answer:
x=4
Step-by-step explanation:
2/3 (x − 7) = −2
Multiply each side by 3/2
3/2 *2/3 (x − 7) = −2*3/2
x-7 = -3
Add 7 to each side
x-7+7 = -3+7
x=4
Seating reads 1/12 part of a book in a day. If there are 360 pages in a book, how many pages does swati read in a day?
Given:
Total number of pages in a book = 360 pages
Fraction of pages Swati reads = [tex]\frac{1}{12}[/tex]
To find:
Number of pages Swati reads in a day
Steps:
Since we know the fraction of pages Swati reads each day, we can multiply the fraction with the total pages to find the number of pages read each day.
[tex]=360 * \frac{1}{12}[/tex]
[tex]= \frac{360 * 1}{12}[/tex]
[tex]=\frac{360}{12}[/tex]
[tex]=\frac{180}{6}[/tex]
[tex]=\frac{90}{3}[/tex]
[tex]=\frac{30}{1}[/tex]
= 30
Therefore, Swati reads 30 pages of the 360 pages per day.
HAPPY TO HELP :)
If you need any help, feel free to ask
describe how the graph of each function is related to the graph of f(x)=x^2
g(x)= -10 + x^2
Answer:
Translation down 5 units.
Step-by-step explanation:
The - 5 results in a shift of the whole graph down 5 units.
Each value of g(x) is 5 units less f(x).
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
(hegarty maths))
Answer:
The probability of getting 2 blues is 25/121.
Step-by-step explanation:
There are 6 + 5 marbles in total, 11 marbles.
The chances of picking a blue marble is 5/11.
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11.
5/11 * 5/11 = 25/121
The probability of getting 2 blues is 25/121.
Hope this helps, please mark brainliest! :) Have a great day.
Consider the following sequence: 87; 84; 81... Find an expression for term n of the sequence
Answer:
[tex]a_{n}[/tex] = 90 - 3n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
84 - 87 = 81 - 84 = - 3
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 87 and d = - 3 , then
[tex]a_{n}[/tex] = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n
find each side length. round to the nearest tenth if needed. 14,25,x
x= ?
Answer: X PLUS 14
Step-by-step explanation:
Hellpp and thanks!!
Answer:
c = 4n
Step-by-step explanation:
What is the probability of getting a tails, vowel and an even number?
Answer:
[tex]\frac{1}{15}[/tex]
This is assuming the die is from 1 - 5
Step-by-step explanation:
Tails: 0.5
Vowel: [tex]\frac{1}{3}[/tex]
Even number: [tex]\frac{2}{5}[/tex]
[tex]\frac{1}{2}* \frac{1}{3} *\frac{2}{5} =\frac{2}{30}=\frac{1}{15}[/tex]
Acellus
Find the probability that a randomly
selected point within the circle falls
in the red shaded area (square).
Help Resources
r = 4 cm
4 √2 cm
[?]%
Round to the nearest tenth of a percent.
Enter
Answer:
The Probability is 63.7%
Step-by-step explanation:
We need to calculate the area of the circle and the area of the square
From the question, we can see that the square is of side 4 √2 cm
The area of the square is simply the square of its side length
We have this as 4√2 * 4√2 = 16 * 2 = 32 cm^2
The area of the circle can be calculated using the formula for the area of a circle, with the radius being 4 cm
So, we have the area of the circle as;
Pi * r^2
= 22/7 * 4 * 4 = 50.3 cm^2
so, to find the probability, we need to divide the area of the circle by the area of the square
we have this as;
32/50.3 = 0.6366
In percentage, we simply multiply by 100% to give
0.6366 * 100% = 63.66%
To the nearest tenth, this is 63.7%
PLEASE HELP
Find the range of f(x) = -3x + 2 for the domain {-3, 1, 2,5}.
Answer:
range = {11,-1,-4,-13}
Step-by-step explanation:
domain is "input" range is "output"
just "plug" {-3, 1, 2,5} into -3x + 2 one at a time
Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.
Answer:
Step-by-step explanation:
Find the total surface area of a right cylinder with a radius of 3 inches and a height of 17 inches. Round to the nearest tenth.
Your
Jorja collected the following number of seashells for the last nine trips to the beach : 5, 11, 7, 12, 13, 17, 3, 15, 14 Provide a five - number summary for the values.
Answer:
min: 3
Q1: 6
median: 12
Q3: 14.5
max: 17
Step-by-step explanation:
Put values in order of least to greatest value. Leftmost number is the minimum; rightmost number is the maximum. Middle number is the median (cross out values, alternating crossing out least and greatest values until 1 value is left). Find the median of the values to the left and right of the median; those are Q1 and Q3 respectively.
What is the radius of each semicircle in this composite figure?
Answer:
2cm
Step-by-step explanation:
First, it is important to define both the radius and diameter. A diameter is the length of a line through the center of a circle that touches two points on the edge.
In the semicircle on the top, if we can imagine it making up a full circle, we can note that the bottom center of the semicircle is the center of the full circle, with the line of length 4cm going right through it. Similarly, for the bottom semicircle, as the line between the semicircles is straight, the diameter for that one is 4cm as well.
The radius is equal to half of the diameter. The diameter is 4cm, so the radius is 4cm/2 = 2cm
If chris measured the length of a line segment and rounded his answer to the nearest centimetre and get 6cm what is the accurate statement about the actual meausure be
Answer:
d
Step-by-step explanation:
A. Between 500 cm and 700 cmB. Between 550 cm and 650 cmC. Between 5.0 cm and 6.0 cmD. Between 5.5 cm and 6.4 cm A B C D
to round off to the nearest cm of 6. the value must be between 5.5 and 6.4
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
In converting 9 inches to yards, what unit (omit the number) would you place
in the numerator of your ratio? Use the plural form in your answer. Remember
that there are 36 inches in 1 yard.
To convert inches to yards you would divide the number of inches by inches per yard.
The numerator would be the inches given and the denominator would be 36
The ratio would be inches / inches per yard.
Numerator = inches
Brad makes his own snack mix using whole grain cereal and mixed nuts. One batch of his recipe makes 6 cups of snack mix. Brad uses 3 times as much cereal as mixed nuts. The system below can be used to find the number of cups of cereal and number of cups of mixed nuts Brad uses to make one batch of snack mix.
A system of equations. c plus m equals 6. m equals StartFraction c over 3 EndFraction.
Which describes the ingredients Brad uses to make one batch of snack mix?
2 cups of cereal and 4 cups of mixed nuts
3 cups of cereal and 9 cups of mixed nuts
4.5 cups of cereal and 1.5 cups of mixed nuts
7.5 cups of cereal and 4.5 cups of mixed nuts
Write the Slope Intercept Form equation of the line that passes through the points (-4,-2) and (-2,3)
Answer:
y = 5/2x + 8
Step-by-step explanation:
y2 - y1 / x2 - x1
3 - (-2) / -2 - (-4)
5 / 2
= 5/2
y = 5/2x + b
3 = 5/2(-2) + b
3 = -5 + b
8 = b
Which of the following is equivalent to 16 kilograms?
0.016 grams
0.16 grams
1600 grams
16000 grams
QUICK PLEASE!
Answer:
16000 grams
Step-by-step explanation:
To change kilograms to grams, multiply by 1000 grams
16 kilograms * 1000g / 1 kg
16*1000 grams
16000 grams
Hope this helps!!!
Have a great day!!!
Solve for n.
56 = -4n
A: 224
B: -14
C: 60
D: -4
Answer:
-14 = n
Step-by-step explanation:
56 = -4n
Divide each side by -4
56/-4 = -4n/-4
-14 = n
A sign has 3 identical parallelogram-shaped stripes as shown. Charles must
outline each stripe with reflective tape. Is one roll of 86 inches of tape enough to
finish the job? Explain.
Answer:
it looks like the length of one of the parts is
Step-by-step explanation:
sqrt(125) from 10^2 +5^2 = sqrt(125) using the pathogen Therom since the 3 lines are identical since they are parallel you multiply sqrt(125) by 3
so 3×sqrt(125)=33.54 inches of tape which is way less then than 86
solving system by substitution
Answer:
The solution of this system is (9, 2).
Step-by-step explanation:
Substitute x - 7 for 'y' in the first equation. We get:
x - 3(x - 7) = 3 Doing this temporarily eliminates the variable 'y'.
Now perform the indicated multiplication, and then combine like terms:
x - 3x + 21 = 3, or
-2x = -18
so that x = 9. Substituting 9 for x in the second equation, we get:
y = 9 - 7, or y = 2.
The solution of this system is (9, 2).
Solve for j
-1/3 = j/4 - 10/3
Find the measure of a central angle of a regular polygon with 10 sides. Round your answer to the nearest tenth of a degree, if necessary.
Answer:
Step-by-step explanation:
36 is the anwser
The measure of the central angle of a regular polygon with 10 sides is 36°.
What is Polygon?Polygon is a two dimensional figure which consists of certain number of line segments to form a closed figure.
Minimum three line segments is needed to form a closed figure, which is the triangle.
Circle is also a closed figure, but is not a polygon because it is note formed by line segments.
Regular polygons are polygons whose all sides are equal.
Sum of all central angles will be a full circle or 360°.
So the measure of central angle of a regular polygon = 360° / N, where N is the total number of sides of the regular polygon.
Here, Number of sides, N = 10
So the central angle = 360° / N
= 360° / 10
= 36°
Hence the central angle of a regular polygon with 10 sides is 36°.
To learn more about Polygon, click on the link given below :
https://brainly.com/question/24464711
#SPJ2
Part 3: Find the inverse function, f –1(x), for the function f (x) = x2 + 10x + 28.
Answer:
-5+(√x-3) and -(√x-3)-5
Step-by-step explanation:
change f(x) to 'y' and then interchange x and y; then solve for y
y = x² + 10x + 28
x = y² + 10y + 28
you can use the Quadratic Formula to evaluate y² + 10y + 28 and will get:
-5+(√x-3) and -(√x-3)-5
Pls I need help fast and quick it's urgent!
Answer:
I might be wrong but I think its the last answer choice.
Step-by-step explanation:
I'm sorry if its wrong :(