Answer:
49.3
Step-by-step explanation:
3.40 x 2.90 x 5.00 = 49.3 :)))
Let X denote the number of cousins of a randomly selected student. Explain the difference between StartSet Upper X equals 2 EndSet and Upper P (Upper X equals 2 ).
A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.
B. (X =4) is the frequency that a student has four cousins, P(X-4) is the relative frequency that a student has for cousins.
C. (X =4) is the probability of the event that the student has four cousins, P-4) is the event that the student has four cousins.
D. (X =4) is the relative frequency that a student has four cousins; P(X 4) is the frequency that a student has four cousins.
Answer:
A. (X =4) is the event that the student has four cousins: P(X-4) is the probability of the event that the student has four cousins.
Step-by-step explanation:
An event is an individual outcome or any number of outcomes of a random experiment or trial. An even that contains only one sample point is called a simple event. A compound event contains more than 1 sample point and is formed by the union of simple points.
An event A is said to occur only and if only the outcome of the experiment corresponds to some element of A.
In the given question the first symbolic representation gives an event and the second symbolic representation gives the probability.
The probability of X = 2 or 4 is given by P (X=2) or P (X=4) symbollically.
So A is the best choice.
The relative frequency gives the probability so choice B,C and D are wrong.
Look at this triangle.
B
13 cm
A
8 cm
Work out length BC.
Using the Pythagorean theorem:
BC = sqrt(13^2 - 8^2)
BC - sqrt(169 - 64)
BC = sqrt(105)
The exact dimension is sqrt105
If it needs be be in decimal format, sqrt(105) = 10.24695
Show that the set of points that are twice as far from the origin as they are from (2, 2, 2) is a sphere. Find the center and radius of this sphere.
Answer:
This is a sphere with a center [tex](\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )[/tex] and radius [tex]\dfrac{4 \sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given that: (x,y,z)
where;
d₁ is the distance from the origin = [tex]\sqrt{x^2+y^2+z^2}[/tex]
d₂ is the distance from (2,2,2) = [tex]\sqrt{(x-2)^2+(y-2)^2+(z-2)^2}[/tex]
Also;
d₁ = 2d₂
[tex]\sqrt{x^2 + y^2 +z^2 } = 2 \sqrt{(x-2)^2 +(y-z)^2+(z-2)^2}[/tex]
By squaring both sides;
[tex]x^2 + y^2 +z^2 = 2^2((x-2)^2 +(y-z)^2+(z-2)^2)[/tex]
[tex]x^2 + y^2 +z^2 = 4(x-2)^2 +4(y-z)^2+4(z-2)^2[/tex]
[tex]x^2 + y^2 +z^2 =4(x^2 -2x -2x +4) + 4(y^2 -2y -2y +4) + 4(z^2 -2z-2z+4)[/tex]
[tex]x^2 + y^2 +z^2 =4x^2 -16x +16 + 4y^2 -16y +16 + 4z^2 -16z+16[/tex]
Collect the like terms:
[tex]0 = 4x^2 -x^2 -16x +16 + 4y^2 -y^2 -16y +16 +4z^2 -z^2 -16z +16[/tex]
[tex]0 = 3x^2 -16x +16 + 3y^2 -16y +16 +3z^2 -16z +16[/tex]
Divide both sides by 3
[tex]\dfrac{0}{3} = \dfrac{3x^2 -16x +16}{3} + \dfrac{3y^2 -16y +16 }{3} + \dfrac{ +3z^2 -16z +16}{3}[/tex]
[tex]0 = {x^2 - \dfrac{16x}{3} +\dfrac{16}{3} + {y^2 - \dfrac{16y}{3} +\dfrac{16}{3}+{z^2 - \dfrac{16z}{3} +\dfrac{16}{3}[/tex]
Using the completing the square method;
[tex]3(\dfrac{160}{9}) -16 = {x^2 - \dfrac{16x}{3} +\dfrac{160}{9} + {y^2 - \dfrac{16y}{3} +\dfrac{160}{9}+{z^2 - \dfrac{16z}{3} +\dfrac{160}{9}[/tex]
[tex]\dfrac{16}{3}= (x - \dfrac{8}{3})^2+ (y - \dfrac{8}{3})^2+ (z - \dfrac{8}{3})^2[/tex]
∴
This is a sphere with a center [tex](\dfrac{8}{3},\dfrac{8}{3},\dfrac{8}{3} )[/tex] and ;
radius; [tex]\sqrt{\dfrac{16}{3}}[/tex]
[tex]= \dfrac{4 \sqrt{3}}{3}[/tex]
plz help me with this???
Answer:
[tex]\frac{9}{28}[/tex]
Step-by-step explanation:
Shaded area = 1 - [tex]\frac{1}{4}[/tex] - [tex]\frac{3}{7}[/tex] (Make them have the same denominator, 28)
= [tex]\frac{28}{28}[/tex] - [tex]\frac{7}{28}[/tex] - [tex]\frac{12}{28}[/tex] (Simplify)
= [tex]\frac{28}{28}[/tex] - [tex]\frac{19}{28}[/tex] (Evaluate)
= [tex]\frac{9}{28}[/tex]
Answer:
9/28 is the answer
Step-by-step explanation:
it maybe really late.
With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What percentage was the discount? Hint: First subtract to find the amount of discount$, then divide it by the original price.
Answer:
14[tex]\frac{2}{7}[/tex]%
Step-by-step explanation:
We can just follow the hint.
Amount of discount = $84 - $72
= $12
Percentage of discount = [tex]\frac{12}{84}[/tex] × 100%
= 14[tex]\frac{2}{7}[/tex]%
Answer:
14.3% discount.
Step-by-step explanation:
Heya! So by the hint that they gave us, I subtracted 72 from 84, and then divided the 12 by 84. The true answer is 0.143 (rounded to the hundredth), getting you close to the initial 12. I hope this helped at least a little bit!
There are 6 'blobs' in your bed. Each day the number of
blobs doubles. Create a table (with 4 rows) to represent
the number of blobs in your bed as a function of the
number of days that passed. Write an equation to
represent the scenario.
*How many blobs will be in your bed after 3 days?
Answer:
why the hell you got blobs in your bed?
Step-by-step explanation:
A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile? 1 2 4 7
Answer:
7
Step-by-step explanation:
Bluegreen
Bluered
Blueyellow
Greenblue
Greenred
Greenyellow
Redblue
Redgreen
Redyellow
Yellowblue
Yellowgreen
Yellowred
Answer: 7
Step-by-step explanation:
Took on computer
given the equation y= -1/3x - 10, find the value of y when x is -9
Answer:
-13
Step-by-step explanation:
Because
please help me asap
I also need help with this cuase honestly i'm really bad at math
Answer:
A
Step-by-step explanation:
Angles that form a straight line ( add up to 180 ) are supplementary
angles 1 and 2 / 3 and 4 / 5 and 6 /angles 7 and 8 are all supplementary
Angles 1 and 7 are congruent angles
so angle 2 = 125
Subtract 125 from 180 = 55
180 - 125 = 55 degrees
PLEASE HELP!!! JUST SHOW ME HOW YOU DID IT? PLEASE! THANK YOU SO MUCH!1
Answer:
It’s an=-10•-0.5^n-1. First you want to divide 5 by -10 to find r (common ratio) which is -0.5. Next you just plug in your terms.
Step-by-step explanation:
What is 18/8 written in simplest form?
2 1/4
Answer:
Actually I think it would be 2 1/3
Step-by-step explanation:
18 goes into 8 twice right, so whole number 2 with 2 left over so that makes it 2 2/6 then 2/2 and 6/2 is 1 and 3 so 2 1/3.
PLEASE HELP
Which of the following sets of ordered pairs represents a function?
A.
{ (0, -6), (11, -6), (0, -6), (-6, 11) }
B.
{ (-6, 6), (-6, 9), (-6, 0), (9, -6) }
C.
{ (6, 11), (6, 1), (0, 0), (8, 13) }
D.
{ (6, -6), (9, -6), (0, -6), (-6, 9) }
Answer:
it's D
hdhdndndnndhd
fhhdhdhdndndhfhsjajsg
HELP! will give brainliest ONLY if correct. 50 POINTS!!
Identify the type of function graphed to the right.
O linear
O exponential
O other
For an increase of 1 in the x-value, what is the increase in the y-value?
Answer:
A
Step-by-step explanation:
The first part is Linear and 2. The second part is exponential and 3.
Step-by-step explanation:The first graph is linear and they are asking for "2" in the bottom answer box because it grows by 2 every time.
The second graph is exponential growth and they are asking for "3" in the bottom box.
Have a terrific day, Hope this helps!!
kate used a 30% off coupon to purchase a sweater. if she saved $14.40, what was the original price of the sweater?
Cecilia bought 5 games of
bowling for $25 and Frankie
bought 7 games for $42.
Which is the better buy?
Which equation matches the function shown below?
Answer:
Step-by-step explanation:
Pick the two easiest points to deal with.
(0,4) and (2,0)
Find m
m = (y2 - y1)/(x2 - x1)
y2 = 4
y1 = 0
x2 =0
x1 = -2
m = (4 - 0)/(0 - - 2)
m = 4/2 = 2
Now use one of the points to find b
y = mx + b Use (0,4)
4 = 2*0 + b
b = 4
The equation you want is y = 2x + 4
Anyone know the answer ?
Answer:
The area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
Step-by-step explanation:
Given
height or length = l = 6x³width = w = 3x³+8x²+xWe know that Area of the rectangle
A=wl
= (3x³+8x²+x) × (6x³)
[tex]=\left(6x^3\right)\times \:3x^3+\left(6x^3\right)\times \:8x^2+\left(6x^3\right)x[/tex]
[tex]=3x^3\left(6x^3\right)+8x^2\left(6x^3\right)+x\left(6x^3\right)[/tex]
[tex]=18x^6+48x^5+6x^4[/tex]
Thus, the area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
In an examination given to a class of 20 students, the following test scores were obtained.
45 45 50 50 55 60 70 75 75 80
80 85 85 85 85 90 95 95 95 100
a) Find the mean (or average) score, the mode, and the median score.
b) Which of these three measures of central tendency do you think is the least representative of the set of scores?
Answer:
Mean = 75
Median = 80
Mode = 85
The mode
Step-by-step explanation:
Given the data :
45 45 50 50 55 60 70 75 75 80 80 85 85 85 85 90 95 95 95 100
Rearranged data :
45, 45, 50, 50, 55, 60, 70, 75, 75, 80, 80, 85, 85, 85, 85, 90, 95, 95, 95, 100
The mean score :
ΣX / n ; n = sample size = 20
ΣX = 1500
Mean = 1500 / 20 = 75
Mode = most frequently occurring = 85 ( frequency of 4)
Median = 0.5(n + 1)th term
Median = 0.5(20 + 1)th term
Median = 0.5(21) th term
Median = 10.5th term = (10 + 11)th term / 2
Median = (80 + 80) / 2 = 160 / 2 = 80
2.) The mode
3х + 4 = 14
х = 2y - 12
Answer:
(-2, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = 14
x = 2y - 12
Step 2: Solve for y
Substitution
Substitute in x: 3(2y - 12) + 4y = 14Distribute 3: 6y - 36 + 4y = 14Combine like terms: 10y - 36 = 14Isolate y term: 10y = 50Isolate y: y = 5Step 3: Solve for x
Define equation: x = 2y - 12Substitute in y: x = 2(5) - 12Multiply: x = 10 - 12Subtract: x = -2(PLS I NEED IT TODAY)
A cash register contains coins. • 10 pennies • 11 nickels • 13 dimes • 6 quarters A cashier will randomly choose two coins one at a time without replacement. What is the probability that the cashier will choose a penny first, followed by a dime?
F 13/160
G 1/12
H 13/245
J 7/12
♡ Answer ♡
G) 1/12
♡ Step-by-step explanation ♡
In order to figure out this problem, we have to take a few relatively simple steps.
First, we must count the total number of coins in the cash register. Do not change the value of these coins. Simply take the numbers listed in the problem and add them up. Your process for completing this step should look something like this: 10+11+13+6 equals 40. With this being said, there are 40 coins in the cash register.
Next, we must remember the values of the two coins the question is asking for: pennies and dimes. Keep in mind that, out of all 40 coins, 10 of them are pennies and 13 of them are dimes.
Then, we write the fractions used to find the answer to this problem. In the question, the cashier (hypothetically) draws a penny first, and then a dime. This means a penny is drawn before a dime is drawn. (Although it seems like a miniscule detail, this knowledge is actually something extremely important to remember. This small piece of information can actually change the entire answer if not used properly.)
In this problem, the cashier would choose a single penny out of the 10 in contrast to the total 40 coins. Since there are 10 pennies overall, and 40 coins overall, the probability of choosing a penny first is 10/40.
After we complete the probability of choosing a penny before all else, we must find the probability of choosing a dime after choosing a penny. Since the dime will be chosen after the penny is chosen, one coin will be gone: the chosen penny. So, the total amount of coins within the cash register changes (or more specifically decreases (by 1)) from 40 to 39. However, the amount of dimes, 13, stays the same. With this information in mind, we can write a fraction of 13/39 for the probability of choosing a dime after choosing a penny.
Finally, now that we have both probability fractions, we can figure out the answer to the question. In order to do this, we multiply and simplify both fractions. 10/40*13/39 is 130/1560. 130 ÷ 130 is 1. 1560 ÷ 130 is 12. 1 ÷ 12 can also be written as 1/12. Therefore, the answer to this problem is G) 1/12.
(The paragraph and author's note below are technically optional thought processes and information, but read them if you wish. Although I would recommend reading further, considering another way to solve the question is mentioned, it is entirely you (the reader's) choice.)
You can also check this answer through the other/alternate way of solving this problem: by simplifying both probability fractions before you multiply them. 10/40 can be simplified to 1/4. 13/39 can be simplified to 1/3. After doing this, we multiply both simplified probability fractions in order to find, or in this case check, the answer. 1/4*1/3 is 1/12. 1/12 is the same fraction as the one present in choice G. This is the same answer as the one we previously got. This enforces the idea that G) 1/12 is indeed the answer to this question.
A/N (Author's Note): Although it took quite a while to jot down, this was truly a blast to write and explain! I hope this helped those that needed/wanted it. Have a wonderful week reader(s)!
Write a number sentence that illustrates the following. A number with two decimal places multiplied by a number with one decimal place. The product has only two nonzero digits. Choose the correct answer below.
A. 0.08 x 0.6 = 0.48
B. 0.08 x 0.6 = 0.0048
C. 0.8 x 0.6 = 0.48
D. 0.08 x 0.6 = 0.048
Answer:
D
Step-by-step explanation:
I WILL GIVE BRAINLIEST I NEED HELP
Answer:
c
Step-by-step explanation:
Segment addition and midpoints
Answer:
[tex]16[/tex]
Step-by-step explanation:
NO=4NP=11MO=9MP=?MO=MN+NO 9=MN+4 MN=9-4 =5NP=NO+OP 11=4+OP OP=11-4 OP=7MP=MN+NO+OP =5+4+7 =16HOPE IT HELPS
Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal? Store X: 4 cans for $2.48 Store Y: 5 cans for $3.00 *
Answer:
Y=300
X= 4
M= 49x9=4
3x4=3
Step-by-step explanation:
If K is the midpoint of JL, JK = 9x - 1 and KL = 2x + 27, find JL
Answer:
JL = 70
Step-by-step explanation:
I need a legit answer with just a little explanation please it would mean alot to me
Answer: C.
Step-by-step explanation: Plug in x in the formula. Solve for each y by plugging in each x in the formula and seeing if it works. This took me like 3 min to solve
What is the answer to this equation 12-1/4=
Answer:
11 3/4
Step-by-step explanation:
12-1/4=11 3/4
Answer:
11.75
Step-by-step explanation:
1/4=.25
12-0.25=11.75
Suppose that the local sales tax rate is 5 %
and you purchase a car for $ 27,400
.
a. How much tax is paid?
b. What is the car's total cost?
Answer:
A: Tax paid us $1370
B: Total cost= car cost + taxes
$27,400+ $1370
=$28,770
Step-by-step explanation:
Solve and graph the inequality
6X + 32 > -4
Answer:
Simplifying
6x + 32 = 180
Reorder the terms:
32 + 6x = 180
Solving
32 + 6x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-32' to each side of the equation.
32 + -32 + 6x = 180 + -32
Combine like terms: 32 + -32 = 0
0 + 6x = 180 + -32
6x = 180 + -32
Combine like terms: 180 + -32 = 148
6x = 148
Divide each side by '6'.
x = 24.66666667
Simplifying
x = 24.66666667
6x + 32> -4
6x > -4 - 32
6x > -36
x > -6