The probability of not drawing an I is the number of non-I letters divided by the total number of letters, which is 7/11.
The word MISSISSIPPI has a total of 11 letters, with the following distribution: 4 I's, 4 S's, 2 P's, and 1 M. To find the theoretical probability of NOT drawing an I, we need to consider all the other letters that could be drawn instead. There are 11 - 4 = 7 letters that are not Is. Therefore, the probability of not drawing an I is the number of non-I letters divided by the total number of letters, which is 7/11.
word puzzle!!!!
Karen's friends want to buy her a wedding gift. Originally ten friends were going to chip in equally, but then two or them dropped out. Each of the remaining eight friends had to chip in another dollar to bring the total back up to the original amount. How much money did they plan to collect?
Answer:
$4
Step-by-step explanation:
10x = 8(x+1)
2x = 8
x = 4
Answer:
40 dollars
Step-by-step explanation:
We can say
x=amount each friend has to pay
Then, the price of the gift would be 10x because there are 10 friends and each pays x dollars. But since two friends dropped out, it will now become 8x. Also, each of the 8 friends has to pay an extra dollar to go back to the original amount, so 8x+8 is also the price of the gift. We set these two expressions equal to each other (because they both represent the price of the gift) so
10x=8x+8. Using the subtraction property of equality (which says if a=b, then a-c=b-c) we subtract 8x from both sides to get
2x=8. Using the division property of equality (which says if a=b, then a/c=b/c) we divide by 2 on both sides to get x=4. But the question asked how much money they planned to collect, or what was the price of the gift, which is 10x, 10*4=40, 40 dollars.
compare 8 to the power of 0 and 8 to the power of -2. Which is greater?
Answer:
8 to the power of 0
Step-by-step explanation:
[tex]8^{0}[/tex] = 1
[tex]8^{-2}[/tex] = [tex]\frac{1}{64}[/tex]
To compare 8 to the power of 0 and 8 to the power of -2, we focus on understanding negative exponents. The answer is that 8 to the power of 0 is greater than 8 to the power of -2.
To compare 8 to the power of 0 and 8 to the power of -2, we need to understand how negative exponents work. When a power of 10 is transferred from the numerator to the denominator, the sign of the exponent changes. 8 to the power of 0 is 1 and 8 to the power of -2 is 1/64. Therefore, 8 to the power of 0 is greater than 8 to the power of -2.
expression related to -1/3(6x+15)-3
Answer:
x = -4 and -2x - 8
Step-by-step explanation:
Step 1: Distribute
-1/3(6x + 15) - 3
-6/3x - 15/3 - 3
-2x - 5 - 3
-2x - 8
Step 2: IF NEEDED SOLVE FOR X
-2x - 8 + 8 = 0 + 8
-2x / -2 = 8 / -2
x = -4
Answer: x = -4 and -2x - 8
The graph of the function passes through the point (2, 1), and y increases by 4
when x increases by 1.
Answer:
[tex]y=4x-7[/tex]
The graph in the attached figure
Step-by-step explanation:
In this problem I will assume the the function is linear
we have the point (2,1)
we know that
y increases by 4 when x increases by 1
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
so
The slope of the linear function is
[tex]m=\frac{4}{1}[/tex]
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
substitute
[tex]y-1=4(x-2)[/tex]
Convert to slope intercept form
Isolate the variable y
[tex]y-1=4x-8\\y=4x-8+1\\y=4x-7[/tex]
see the attached figure to better understand the problem
The question pertains to the characteristics of a linear function whose graph passes through the point (2, 1) with a slope of +4, indicating an increase of 4 in y for every increase of 1 in x. The line's positive slope suggests the graph rises as the x-value increases. The equation of the line is y=4x-7.
Explanation:The student is asking a question about the characteristics of a linear function based on its graph. Specifically, since the graph passes through the point (2, 1) and the value of y increases by 4 when x increases by 1, we can conclude that the slope of the line is +4. This is because the slope of a line represents the change in y divided by the change in x. Given that the slope is positive, this line will show an upward trend on the graph as the x-value increases, much like other graphs with a positive slope.
To find the equation of the line, we start by using the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. We use the point (2, 1) and the slope 4 to solve for b. The process is as follows:
1 = 4(2) + b
1 = 8 + b
b = -7
Therefore, the equation of the function is y = 4x - 7.
find the number and type of solutions then factor and solve
4b^2+8b+7=4
20 points and brainliest
Answer:
-1/2, -3/2
Step-by-step explanation:
4b² + 8b + 3 = 0
8² - 4(4)(3) = 16 > 0
Real and distinct solutions
4b² + 6b + 2b + 3 = 0
2b(2b + 3) + 1(2b + 3) = 0
(2b + 3)(2b + 1) = 0
b = -1/2, -3/2
What is the solution of the system of equations?
5x + 4y = -22
2x – 3y = 5
Answer:
y = 3
x =7
Step-by-step explanation:
to solve this system of equations using substitution method we say, let
5x + 4y = -22 .................... equation 1
2x – 3y = 5...................... equation 2
from equation 2
2x - 3y = 5
2x = 5 + 3y
divide both sides by 2
we have;
2x/2 = (5+3y)/2
x =(5+3y)/2................................ equation 3
put x = (5+3y)/2 in equation 1
5x + 4y = -22 .................... equation 1
5(5+3y)/2 + 4y = -22
(25 + 15y)/2 + 4y = -22
multiply through by 2
25 + 15y + 8y = -44
25 + 23y = -44
collect the like terms
23y = -44 - 25
23y = -69
divide both sides by 23
23y/23 = -69/23
y = 3
put the value of y= 3 into equation 3
x =(5+3y)/2................................ equation 3
x = (5+3(3)]/2
x = 5+9/2
x =14/2
x =7
solve for −4.2y+2.1>−2.52
Answer:
y < 1.1
Step-by-step explanation:
Step 1: Subtract 2.1 from both sides
-4.2y + 2.1 - 2.1 > -2.52 - 2.1
-4.2y > -4.62
Step 2: Divide both sides by -4.2
-4.2y / -4.2 > -4.62 / -4.2
Since you divided by a negative, that flips the sign.
y < 1.1
Answer: y < 1.1
Answer: Y < 1.1
Step-by-step explanation: I took the quiz, i hope this helps! :)
f(x) = 3x
g(x) = -3x + 6
Answer:
f(0) = 3x
g(-2) = 3x + 6
Step-by-step explanation:
f(x) = 3x
3x = 0
x= 0/3
x = 0
g(x) = 3x+6
3x+6= 0
3x= -6
x= -6/3
x = -2
what Is x if y=2x+7?
Answer:
x = (y - 7)/2
Step-by-step explanation:
from the question given y=2x+7 , so we are to find the value of x now we first make x the subject of the formulae from y=2x+7
y=2x+7............. equation 1
y- 7 = 2x
divide both sides by 2
(y-7)/2= 2x/2
x = (y - 7)/2
to check if your answer is correct
put the value of x in to equation 1
y=2x+7............. equation 1
y = 2[ (y-7)/2] + 7
y = y - 7 + 7
y = y.......... proved
3 fifths÷7 eighths please help
Answer:
24/35
Step-by-step explanation 3/5 times 8/7 equals 24/35
What is the product of the polynomials below?
(6x2-3x-6)(4x2 +5x+4)
Answer:
24x^4+18x^3-15x^2 -42x-24
Step-by-step explanation:
(6x^2-3x-6)(4x^2 +5x+4)=
6x^2*4x^2 +6x^2*5x+6x^2*4
-3x*4x^2 - 3x*5x-3x*4
- 6*4x^2 -6*5x-6*4=
24x^4+30x^3+24x^2-12x^3-15x^2 -12x
-24x^2-30x-24=
24x^4+18x^3-15x^2 -42x-24
Rosario sells bicycle wheels in packages of 2. If a store order 46 wheels.How many packages will she send?
Step-by-step explanation:
i hope this helps
What is the area of the trapezoid?
110 square inches
32 square inches
140 square inches
80 square inches
In a normally distributed data set with a mean of 24 and a standard deviation of 4.2, what percentage of the data would be between 15.6 and 32.4 and why?
Answer:
About 95% of data lies between 15.6 and 32.4
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 2.4
Standard Deviation, σ = 4.2
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Empirical Formula:
Almost all the data lies within three standard deviation from the mean for a normally distributed data.About 68% of data lies within one standard deviation from the mean.About 95% of data lies within two standard deviations of the mean.About 99.7% of data lies within three standard deviation of the mean.We have to find the percentage of data lying between 15.6 and 32.4
[tex]15.6 = 24 - 2(4.2) = \mu - 2\sigma\\32.4 = 24 + 2(4.2) = \mu + 2\sigma[/tex]
Thus, we have to find the percentage of data lying within two standard deviations of the mean. By Empirical formula about 95% of data lies between 15.6 and 32.4
A band director needs to purchase new uniforms. The ratio of small to medium to large uniforms is 3:4:6. If there are a total of 260 uniforms to purchase, how many will be small?
Answer:
60
Step-by-step explanation:
3:4:6
Add:
3+4+6=13
3:4:6=13
?:?:?=260
Divide:
260/13=20
Multiply 3 and 20:
60
SO there are 60 small uniforms
Triangle ABC is similar to triangle PQR. Solve for n. PLEASE HELP
Answer:
7.5
Step-by-step explanation:
5 x 3 = 15
5.5 x 3 = 16.5
Triangle PQR has 3x the amount as ABC on each side, therefore, n = 7.5
-6y= -20 + 2x
2x – 4y=0
Solve by elimination
Answer:
[tex]x=5\\\\y=2[/tex]
Step-by-step explanation:
Given Equations:
[tex]-6y= -20 + 2x[/tex] Equation:1
Solving Equation:1 Adding '[tex]6y[/tex]' to both the sides:
[tex]2x+6y-20=0[/tex]
Adding '20' both the sides:
[tex]2x+6y=20[/tex] Equation:2
[tex]2x - 4y=0\\[/tex] Equation:3
Subtracting Equation:3 From Equation:2
[tex]2x+6y-(2x-4y)=20-0\\\\2x+6y-2x+4y=20\\\\10y=20\\\\y=\frac{20}{10}\\\\ y=2[/tex]
Putting the value of 'y' in equation:3
[tex]2x - 4y=0\\[/tex]
[tex]2x-4(2)=0\\\\2x-8=0[/tex]
Adding '8' to both the sides
[tex]2x=8\\\\x=8/2\\\\x=5[/tex]
SO,
[tex]x=5\\\\y=2[/tex]
Describe the transformation.
Answer:
Reflection
Step-by-step explanation:
It is reflecting across the Y axis. It is not a dialation, since it is the same shape, but not a different size. Its not rotation, because it wasnt rotated to get to the new shape. And it is not translation, because it is not exactly the same shape (the shape was mirrored)
30 POINTS FOR ANSWER!!
2 numbers sum 120 and product 400
INSTANT ANSWER NEEDED
Answer:
2X+20 = 400
From the picture below, what is the measure of GC?
The measure of arc GC is 90°
Solution:
Given data:
m∠CHD = 90°
Sum of the adjacent angles in a straight line = 180°
⇒ m∠GHC + m∠CHD = 180°
⇒ m∠GHC + 90° = 180°
Subtract 90° from both sides, we get
⇒ m∠GHC = 90°
The angle measure of the central angle is equal to the measure of the intercepted arc.
[tex]m\angle GHD = m (ar \ GC)[/tex]
90° = m(ar GC)
Switch the sides.
m(ar GC) = 90°
The measure of arc GC is 90°.
How can you determine whether a triangle is a right triangle
Answer:
if there is a right angled square shape at the angle
Answer: MARK BRAINLIEST!!!!!!!!!
Because its the only triangle that has a 90 degree angle
Step-by-step explanation:
solve for z
-p(d+z)=-2z+59
Answer:z=(pd+59)/(2-p)
Step-by-step explanation:
-p(d+z)=-2z+59
Open bracket
-pd-pz=-2z+59
Collect like terms
2z-pz=pd+59
Factor out z
z(2-p)=pd+59
Divide both sides by (2-p)
z(2-p)/(2-p)=(pd+59)/(2-p)
z=(pd+59)/(2-p)
How do you find the slop from this?
Answer:
Look at the rise over run
itd be 10/10 or 1
A carpenter needs 3 minutes to cut a board into 5 equal sections. If each cut takes the same length of time, at what rate is the carpenter cutting?
Answer:
3/180= 60 seconds = 1m/per cut or 60 sec/per cut.
Step-by-step explanation:
This is 3 cuts executed from a board to get 5 parts.
Answer:
he cuts 1.6 section of a board in one minute
Step-by-step explanation:
They're telling you that it takes 3 minutes for the carpenter to cut one board into 5 qual section. Therfore how many sections he's cutting in one minute divide the 5 by three. With that you will have the rate
Point M is located at (10, 10) and point N is located at (15, 25).
Which point lies on line MN?
(A) (0, 0)
B (11, 13)
C (13, 13)
D (20, 20)
Answer:
That is easy, the answer is B.
Step-by-step explanation:
First you have to graph the points of M and N and then you have to draw a line through the points of M and N and then graph the other points and whichever falls on the M,N line is the answer. So therefor the answer is B, (11,13)
Answer:
B?
Step-by-step explanation:
Find the slope (or rate of change) from this graph. Write out an equation to find the slope
Answer:
slope = [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Calculate the slope using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line
m = [tex]\frac{-1+3}{0+5}[/tex] = [tex]\frac{2}{5}[/tex]
Triangle 1 has vertices at (A,B), (C,D), and (E,F). Triangle 2 has vertices at (A,3B), (C,3D), and (E,3F). What can you conclude about triangle 2?
(A)Triangle 2 is not congruent to triangle 1 because the transformation applied was not a rigid motion.
(B)Triangle 2 is congruent to triangle 1 because a reflection is a rigid motion.
(C)Triangle 2 is not congruent to triangle 1 because it is not a translation of triangle 1.
(D)You cannot tell because you do not know where the points are in the plane.
Answer:
Step-by-step explanation:
A
Answer:
Answer A
Step-by-step explanation:
Match each measurement with the appropriate number.
1. kilo. a. 2000
2. 1 ton. b. 1760
3. 1 mile. c. 1000
Is the product of three negative numbers positive or negative?
Answer:
yup, its positive
two times cancels out, but then the third time made it negative again
X^2 + 4.7^2 = 13.4^2
Answer:
[tex]x = - \: 12.55 \: or \: x = 12.55[/tex]
Step-by-step explanation:
We want to solve for x in
[tex] {x}^{2} + 4.7^{2} = 13.4^{2} [/tex]
We group constants on the right to get:
[tex]{x}^{2} = 13.4^{2} - {4.7}^{2} [/tex]
We apply difference of two squares
[tex]{x}^{2} = (13.4 - {4.7})(13.4 + 4.7)[/tex]
[tex] {x}^{2} = 157.47[/tex]
[tex]x = \pm \sqrt{157.47} [/tex]
[tex]x = \pm \: 12.55[/tex]