At Central Online High School, 45/100 of the students have a dog, 30/100 of the students have a cat, and 18/100 of the students have both a dog and a cat. What is the probability that students who have a cat also have a dog?
Answer:
6/15Step-by-step explanation:
18/30 becuase 30 have a cat and 18 have both.
18/30 = 6/15
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Figure RST is reflected about the x-axis and then translated down 1 unit to obtain figure R′S′T′:
A coordinate plane is shown. Triangle RST has vertices R at 4 comma negative 2, S at 7 comma negative 2, and T at 5 comma negative 5. Triangle R prime S prime T prime has vertices R prime at 4 comma 1, S prime at 7 comma 1, and T prime at 5 comma 4.
Which statement best describes the relationship between the two figures? (4 points)
Figure RST is congruent to figure R′S′T′.
Figure RST is bigger than figure R′S′T′.
The measure of angle R is equal to the measure of angle S′.
The measure of angle R is equal to the measure of angle T′.
A) Figure RST is congruent to figure R′S′T′.
Answer:
a
Step-by-step explanation:
What is the average rate of change from
x = 10 to x = 15?
Answer:
✔ -2
Step-by-step explanation:
correct
Answer:
-2 is your answer
Step-by-step explanation:
PLEASE HELP!
The following are the last 10 run scores Colin got in cricket: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1 a) Work out Colin's mean score. b) Colin plays cricket again on Sunday. He gets 27 runs. What is his new mean score? Give your answers as decimals.
Answer:
Colin's mean score = 17.10
The new mean is 18.00
Step-by-step explanation:
Given scores: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1
number of terms: 10
mean is calculated by given formula = sum of all the data set/ number of terms in the data set.
mean for the 10 scores = (31+ 10+ 26+ 16+ 28+ 31+ 9+ 11+ 8+ 1 )/10
= 171/10 = 17.1
Colin's mean score = 17.10
____________________________________________
runs scored by Colin in 11th match = 27
number of terms: 11
new mean = new sum /number of terms
new mean = (old sum score + 27)/11 = (171+27)/11
new mean = 198/11 = 18
The new mean is 18.00
HELP
PLEASE.
Simplify the expression.
x^2+2x-24/x^2-x-42
Answer:
[tex] \frac{x - 4}{x - 7} [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{2} + 2x - 24 }{ {x}^{2} - x - 42 } \\ \frac{(x + 6) (x - 4)}{(x - 7)(x + 6)} \:the \: term \: will \: be \: simplified (x + 6) \\ and \: we \: will \: be \: left \: with \: \frac{x - 4}{x - 7} [/tex]
Answer:
Step-by-step explanation:
x² + 2x - 24 = x² + 6x - 4x - 4 * 6
= x(x + 6) - 4(x + 6)
= (x + 6) (x - 4)
x² - x - 42 = x² -7x + 6x - 6 * 7
= x(x - 7) + 6(x - 7)
= (x - 7) (x + 6)
[tex]\frac{x^{2}+2x-24}{x^{2}-x-42}=\frac{(x + 6)*(x-4)}{(x+6)(x-7)}\\\\\\=\frac{x-4}{x-7}[/tex]
what is x if -3x + 6 =39
Answer:
x = -11
Step-by-step explanation:
-3x + 6 = 39
Combine Like Terms
-3x = 33
Divide Each Term then simplify
x = -11
Hope This Helps!
Answer:
x=-11
Step-by-step explanation:
In order to solve for x, we have to get x isolated.
To do that, we must perform the inverse operations to both sides of the equation.
-3x+6=39
6 is being added on to -3x. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
-3x+6-6=39-6
-3x=39-6
-3x=33
x is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.
-3x/-3= 33/-3
x= 33/-3
x=-11
A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are shown in the dot plot. Which statement best describes the data?
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are shown in the dot plot. Which statement best describes the data?
a. The data are skewed left, so most student's practice times are more than the mean practice time.
b. The data are skewed left, so most student's practice times are less than the mean practice time.
c. The data are skewed right, so most student's practice times are less than the mean practice time.
d. The data are skewed right, so most student's practice times are more than the mean practice time.
Answer:
The correct option is a.
The data are skewed left, so most student's practice times are more than the mean practice time.
Step-by-step explanation:
Refer to the attached box plot which shows number of hours the students spent on practice for playing their instrument each week.
When the data distribution is not symmetric around the mean then it is either skewed to right or skewed to left.
The given box plot is skewed to the left since the tail of the distribution on the left side is longer than the right side or in other words, most of the data is leaning to the right side of the curve.
Due to this, most student's practice times are more than the mean practice time.
A left skewed distribution is also known as negatively skewed distribution.
Therefore, we can conclude that the correct option is a.
a. The data are skewed left, so most student's practice times are more than the mean practice time.
One question in a survey about what kind of cars people prefer to drive is: “Would you prefer a ‘soccer Mom’ minivan or a ‘cool Mom’ convertible?” This question contains: A.bias B.errors C.statistics D.data PLEASE HELPPPPPP
Answer:
Bias.
Step-by-step explanation:
It contains bias because its forcing people to pick the "cool" mom car in stead of the "soccer mom" car.
Answer:
I hope this helps.
Step-by-step explanation:
Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$___
Answer:
$4
Step-by-step explanation:
Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!
What is 4+4 will mark as brainliest
Answer:
8
Step-by-step explanation:
if you have 4 books and I add you another 4 books you will have 8 books altogether.
which two ratios are not equal 1: 6 and 3: 18 A. B 2: 14 and 12: 6 and 2: 1 C. D 3: 11 and 6: 22 please help Thanks
Answer:
3:11 and 6:22
Step-by-step explanation:
Answer: 2:14, 12:6, and 2:1
Step-by-step explanation:
2:1 and 12:6 are equal because you can multiply the 2 and 1 in 2:1 by 6 to get to 12:6.
But 2:14 is not equal to the ratio 2:1, because you can't multiply 2 and 1 to any one number to equal the ratio 2:14.
What is the slope of the equation Y=2x-?
o -7
Answer:
m = 2
Step-by-step explanation:
Your function Y=2x- is not properly formed. However, y = 2x carries enough information to enable you to determine the slope of the graph of your function: It is m = 2.
find the perimeter of diameter 3.5 cm
Answer: I am assuming it’s of a circle? So the answer would be rounded to 11.
Step-by-step explanation:
Every 10 years the alumni have a reunion. Every 2 years the alumni have a soccer game. How often do the reunion and the soccer game fall in the same year?
Answer:
They would fall in the same year every 10 years
Step-by-step explanation:
Here in this question, we are interrelated in calculating the number of years it will take the alumni reunion and the alumni soccer game to fall in the same year.
Now looking at the number of years, we can see we have every 2 and every 10 years
To get the year in which they happen at the same time, we can simply find the lowest common multiple of 2 and 10 and that would be 10
This can be visualized in a way that;
The reunion has happened now, and will happen in the next 10 years.
Now since the soccer game has happened now, in the next 10 years, we shall be having 5 episodes. This means that it will take up to the 10th year before we have the soccer game and the alumni reunion occurring at the same time and the mathematical reason for this is that , 10 is the lowest common multiple of 10 and 2
Answer:
1 times
Step-by-step explanation:
Hello,
The alumni have reunions every 10 years
But also have football games every 2 years
We have to find how often do the football and reunion fall the same year.
Working with a space of 10 years
In 10 years, reunions happen only once
In 10 years, soccer games happen five times
Assuming we're in the year 2020,
The next reunion would likely occur in year 2030.
But soccer games will happen in year 2022, 2024, 2026, 2028 and finally 2030.
Checking both soccer and reunion coincidence, we can only find one which is in year 2030.
So, soccer games and reunions happen once in 10 years
Angle of a sum of 90 degrees
Answer:
Angles that sum up to 90° are called complementary angles. For example if there are two angles with measures 40° and 50° they are know to be complementary cuz they sum up to 90.
All the very best for your math exam by the way :)
The perimeter of an isosceles triangle is 10 ¾ cm . If one of its equal side is 2 ¾ cm ,the third side IS, *
Answer:
4 cm
Step-by-step explanation:
Given is an isosceles triangle. Therefore it's two sides will have equal lengths.
Let the length remaining sides be x cm.
[tex]x + x + 2 \frac{3}{4} = 10 \frac{3}{4} \\ \\ 2x + \frac{11}{4} = \frac{43}{4} \\ \\ 2x = \frac{43}{4} - \frac{11}{4} \\ \\ 2x = \frac{32}{4} \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ \huge \red{ \boxed{x = 4 \: cm \: }}[/tex]
A rectangle is 8 feet long. Its width is represented by "seven plus x feet." Which expression represents the area, in square feet, of the rectangle?
Answer:
[tex] \boxed{\sf Area \ of \ the \ rectangle = (8x + 56) \ square \ feet} [/tex]
Given:
Length = 8 feet
Width = (7 + x) feet
To find;
Area of the rectangle
Step-by-step explanation:
[tex] \sf Area \: of \: the \: rectangle = Length \times Width \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times (7 + x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8 \times 7) + (8 \times x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 56 + 8x\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8x + 56) \: square \: feet[/tex]
Joe wants to carpet a floor of a bedroom. A floor plan is shown. Find the amount of carpet he will need in the car if it is $3 per square foot
Answer:
Step-by-step explanation:
So basically, what you have to do is first find the area of the floor. The area can be split into 3 shapes, a quarter of a circle, a square, and a rectangle.
Quarter of circle: (3.14r^2)/4
3.14(100)/4
314/4
78.5
Square: s^2
100
Rectangle: lw
600
Total: 78.5+100+600
778.5
Cost: $2335.50
andy was given data to draw 3 scatter diagrams B , which line of best fit should have not been drawn explain your answer
Answer:
A line of best fit can only be drawn if there is strong positive or negative correlation. The line of best fit does not have to go through the origin. The line of best fit shows the trend, but it is only approximate and any readings taken from it will be estimations.
Step-by-step explanation:
Answer:
diagram b no correlation
Step-by-step explanation:
What is the volume of a rectangular prism with a length of 5 ft, width of 6 ft and a height of 4.5 ft ?
Answer:
135ft^3
Step-by-step explanation:
Multiply all of the numbers to get your answer.
Write an equation perpendicular to the line y = 3x + 5 through the point (6, -5). State your answer as y=mx+b.
Answer:
y=(-1/3) x - 3
Step-by-step explanation:
A line that is perpendicular to it has a slope that is an opposite reciprocal, which in this case is -1/3. Now you use point slope form which is y-y1=m(x-x1) that would be y+5=-1/3(x-6). Distribute the -1/3 and get y+5= -1/3 x+ 2. Subtract 5 from both sides and get y=-1/3 x - 3
MY FINAL QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
17. Write an informal proof to show triangles ABC and DEF are similar.
IF YOU LOOK CLOSE YOU CAN SEE THE NUMBERS AND LETTERS FOR THE SHAPE,!!
The smaller triangle is DEF which has sides
DF = 1DE = 2EF = 3The larger triangle ABC has side lengths of
AC = 2AB = 4BC = 6Note how the sequence 2,4,6 is exactly double that of 1,2,3. Therefore, the sides of triangle ABC are twice as large as the corresponding sides of triangle DEF.
Put another way, computing the ratios of the corresponding sides all lead to the same value, so we have BC/EF = 6/3 = 2, and we have AB/DE = 4/2 = 2, and finally AC/DF = 2/1 = 2. These three equations all confirm ABC is twice as large as DEF.
By the SSS (side side side) similarity theorem, we can conclude the triangles are similar. They have the same shape, but different size.
the volume of a cylindrical container is 1500cm. if the base area of the container is 120cm. what is the height of the container
Answer:
12.5 cm
Step-by-step explanation:
Find the height of a prism in the following way:
height = Volume divided by Area of cross section.
Substitute the values and so you have:
1500 divided by 120 = 12.5
There are 60 minutes in a hour the total number of minutes is a function of the number of hours as shown in the table does this situation represent a linear or non linear function and why?
Answer:
It represents a linear function because there is a constant rate of change.
Step-by-step explanation:
As an hour passes, the minutes increase at a constant time of 60. A constant increase indicates a linear function.
What’s the logarithmic form equation?
Answer: i hope this will help you
a^x=y this is a simple equation
where as loga(in the base) y=x this is a logarithmic equation
HELP MEEEEEEEEEEEEEEEEE
Call x the number of burgers in a Crave Case.
Mr. Thomas has 5x+5 burgers
Mr. Garcia has 3x + 15 burgers
We're told they're equal,
5x + 5 = 3x + 15
That's the answer to the first part: 5x + 5 = 3x + 15
2x = 10
x = 5
Answer: 5 burgers per Crave Case
Answer:
eegdujbslspm
Step-by-step explanation:
siuodby s9isbnp' udjauoeawkjshdguibdewnduewhsuidknfuk yeosjuwdi nldijs aidbskbodbshbbdpoopne f
Purple paint is made by mixing red paint and blue paint in the ratio 2 : 3. If 15 litres of blue paint is used, how much red paint will be needed?
Answer:
Because they are in the ratio 2:3 we'll call red and blue paint 2x and 3x respectively. We know that there are 15 liters of blue paint which means that 3x = 15. Solving for x we get x = 5. Since red paint is denoted by 2x it would be 2 * x = 2 * 5 = 10.
Answer:
10 liters
Step-by-step explanation:
Red : Blue
2 3
We want 15 blue liters
15/3 = 5
Multiply each term by 5
Red : Blue
2*5 3*5
10 : 15
If f(x) = 3x + 5, find f(2).
Answer:
f(2) = 11
hope this helps
Step-by-step explanation:
3(2)+5
6+5
11
Answer:
11
Step-by-step explanation:
3(2)+5=11
Substitution -- :D
A person places $72300 in an investment account earning an annual rate of 7.1%, compounded continuously. Using the formula V = Pe^rt, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 19 years.
Answer:
Step-by-step explanation:
Our P is 72300; our r is .071, e is Euler's number (a constant) and t is 19 years. Filling in:
[tex]V=72300e^{(.071)(19)}[/tex] and
[tex]V=72300e^{1.349[/tex] and
V = 72300(3.853570033) so
V = $278,613.11
Select the correct answer from each drop-down menu.
Consider the trinomial x2 − 9x + 20.
The factors of this trinomial are ()().
Answer:
[tex](x - 4)(x - 5)[/tex]
Step-by-step explanation:
x2 − 9x + 20
[tex] {x}^{2} - 9x + 20 \\ {x}^{2} - 5x - 4x + 20 \\ x(x - 5) - 4(x - 5) \\ (x - 4)(x - 5)[/tex]
The factors of the given trinomial are (x-5)(x-4).
The given trinomial is x²− 9x + 20.
How to factorise trinomial?To the factor, a trinomial in the form x² + bx + c, find two integers, r and s, whose product is c and whose sum is b.
Rewrite the trinomial as x² + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).
Now, x²− 9x + 20 can be written as x²− 5x-4x + 20
=x(x-5)-4(x-5)
=(x-5)(x-4)
Therefore, the factors of this trinomial are (x-5)(x-4).
To learn more about the trinomials visit:
https://brainly.com/question/9102330.
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