Using it's concept, the sample space for the experiment is:
{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}The complement of P(John wears something red) is he wearing a Blue or Black shirt, along with any combination for the pants and the shoes.The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
For the shirt, there are three possible outcomes: Blue, Red, Black.For the pants, there are two possible outcomes: Blue, Black.For the shoes, there are two possible outcomes: Black, BlueHence, considering the combinations, the sample space is, considering Shirt-Pants-Shoes:
{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}
The complement of P(John wears something red) is all outcomes in which he does not wear anything red, hence it is a Blue or Black shirt, along with any combination for the pants and the shoes.
You can learn more about sample space at https://brainly.com/question/25861936
Answer to the question below please.
Answer:
The choice 3;
[tex]x = 15 \: \: \: \\ y = 17[/tex]
Step-by-step explanation:
[tex]m < 2 = m < 4[/tex]
Opposite;
[tex]7x + 7 = 112 \\ 7x = 112 - 7 \\ 7x = 105 \\ \\ x = \frac{105}{7} \\ \\ x = 15[/tex]
____o__o___
[tex]m < 3 + m < 4 = 180 \\ 4y + 112 = 180 \\ 4y = 180 - 112 \\ 4y = 68 \\ \\ y = \frac{68}{4} \\ \\ y = 17[/tex]
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
89) no 90) yes 91) yes 92) yes 93) yes
Step-by-step explanation:
use theorem of Triangle Inequality !! "the sum of two sides of a triangle must be greater than the third side" :)
Darla scored 18 points in her last basketball game, shooting only 2- and 3-point shots. If she made 7 total
Answer:
3 2-pt shots, 4 3-pt shots
Step-by-step explanation:
2x + 3y = 18
x + y = 7, so x = 7 - y
Substitute in for x
2(7 - y) + 3y = 18
14 - 2y + 3y = 18
14 + y = 18
y = 4
Now put 4 in for y to solve for x
2x + 3(4) = 18
2x + 12 = 18
2x = 6
x = 3
USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W=5) AS AN EQUIVALENT EXPRESSION
answer ?
30 or 30W
Step-by-step explanation:
this isn't a real equation. you can't have an equal sign inside a parentheses but assuming that the question is 6(W) and W equals 5, we can substitute the 5 and distribute the 6 to get 6x5 = 30
help me plzzzzzzzzzzzzz (NO LINKS)
Answer:
5^4Step-by-step explanation:
The rule when you divide two values with the same base is to subtract the exponents.
**WILL GIVE BRAINLIEST IF ANSWERED RIGHT** (this is not math but i just put it as math)
Choose all the answers that apply.
Which are benefits of cardiovascular exercise?
decreases the resting heart rate
helps the blood vessels dilate more easily
decreases the stroke volume
weakens the muscles surrounding the lungs
makes the lungs able to fill more completely
Answer:
Makes the lungs able to fill more
What is the value of the fraction below?
Answer:
undefined.......it's infinity
find the slope
a line that passes between (-5, 8) and (2,4)
Answer:
Step-by-step explanation:
formula : m=(y2-y1)/(x2-x1)
(4 - 8) / (2 - - 5)
-4 / 7
m = -4 / 7 = -0.57143
From a hot-air balloon, Guadalupe measures a 31^{\circ} ∘ angle of depression to a landmark that’s 316 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground?
Check the picture below.
Add the matrices. Help please
Answer:
D) [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]
Step-by-step explanation:
You basically add the corresponding entries for each row and column:
[tex]\left[\begin{array}{cc}1&-4&3&5\end{array}\right]+\left[\begin{array}{cc}-2&6&-2&4\end{array}\right]=\left[\begin{array}{cc}1+(-2)&-4+6&3+(-2)&5+4\end{array}\right]=\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]
Therefore, option D, [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex], is correct.
Multiply:
5m^3 n^5 (25m^6 n)
A. 125m^18n^10
B. 30m^9 n^5
C. 30m^9 n^6
D. 125m^9 n^6
Answer:
D
Step-by-step explanation:
5m^3 n^5 (25m^6 n)
-->5m^3*25n^6m^6
-->125m^9 n^6
Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?
30 POINTS!!!! SOMEONE PLEASE HELP ME!!!
Answer:
60 nickels
Step-by-step explanation:
When a ratio between coins is given, I like to consider the problem in terms of groups of coins. Here, each group would consist of 1 nickel and 0.20 quarters. The value of that group is
5¢ +0.20×25¢ = 10¢
Then the number of groups is ...
(total value)/(value of 1 group) = number of groups
600¢/10¢ = 60
Since each group has 1 nickel, there are 60 nickels.
__
Check
60 nickels + 12 quarters = $3.00 +3.00 = $6.00
_____
Additional comment
If you want to see this with equations and variables, you can do this.
Let n and q represent the numbers of nickels and quarters, respectively. The given relations are ...
0.05n +0.25q = 6.00
q = 0.20n
Substituting for q in the first equation gives ...
0.05n +(0.25)(0.20n) = 6.00
Simplifying gives ...
0.10n = 6.00
n = 6.00/0.10 = 60
A regular 10-sided polygon has a perimeter of 540 feet. What is
the length of one side?
A.540 feet
B.360 feet
C.270 feet
D.54 feet
Answer:
D. 54 feet
Step-by-step explanation:
One side will be 1/10 of the total length of all 10 sides.
(1/10)(540 ft) = 54 feet . . . length of one side
A line includes the points (-7, 1) and (7, -1). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=-1/7x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-1)/(7-(-7))
m=-2/(7+7)
m=-2/14
simplify
m=-1/7
--------------------
y-y1=m(x-x1)
y-1=-1/7(x-(-7))
y-1=-1/7(x+7)
y=-1/7x-7/7+1
y=-1/7x-1+1
y=-1/7x
Luis wants to but a skateboard that usually sell for $79.64. All merchandise is discounted by 12%
Answer:
$79.64
Step-by-step explanation:
I think it's still 79.64
Answer:
it will be equal 70.08 $
can y’all please help me
Answer:
15. d(1,3) e(4,4) g(1,-1) f(4,-2)
16. e(2,-1) f(4,-1) g(2,-3) h(4,-5)
Step-by-step explanation:
These are the coordinates to each point (x,y)
I hope this helps!!
Whta is the geometric mean of 5 and 36
Step-by-step explanation: 2 × 18 = 36. Then (as there are two numbers) take the square root: √36 = 6. this is for 36
Answer: 13
Step-by-step explanation:√(5 × 36) = 13.416407865
A 6pint bucket of paint costs $28.44 what is the price per cup
Answer:
I think there answer is 4.74
Step-by-step explanation:
so you divide
[tex]6 \div 28.44 \: and \: you \: get \: answer[/tex]
4. You have 36 pairs of running shoes. Let x be the
number of Nikes and y be the number of Adidas shoes
you own. You own twice as many Nikes as Adidas
shoes.
d
Write and solve a linear system of equations to find the
number of each brand of shoes.
Answer:
Nikes: 24 pairsAdidas: 12 pairsStep-by-step explanation:
The system of equations can be written ...
x + y = 36
x = 2y
__
The system can be solve by substituting for x:
(2y) +y = 36
y = 12 . . . . . . divide by 3
x = 2(12) = 24
There are 24 pairs of Nikes and 12 pairs of Adidas.
Please help with this question !!
Answer:
c) i^337 is equivalent to the expression i^137
can someone please help me with this and the first to answer will get marked as brainiest also i need the work to be shown cause i know the answer but just not the work cause i’m confused pls help
Answer:
x = 3
Step-by-step explanation:
a triangle has 180 degrees in all
a square for an angle is 90 degrees
we can add them all together and get 180
90 + 45 + 8x + 21 = 180
combine like terms
156 + 8x = 180
subtract 156 to each side
8x = 24
then find x
x = 3
Answer:
x=3
Step-by-step explanation:
So the sum of angles of triangle is always 180 degrees.
We already have 45 and 90 but 8x+21 is unknown.
We can solve this by making an equation which is
45 + 90 + (8x+21) = 180.
If we solve this it will be
8x+21+135=180
8x+156 (-156) =180 (-156)
8x (/8) = 24 (/8)
x=3
3 + 12 + 48 + 192 + ...
Whats the answer
Answer:
3, 12, 48, 192, 768, 3072, 12288 these are the next seven numbers
Add them all up and you get
= 16383 Answer CStep-by-step explanation:
[tex]3, 12, 48, 192[/tex]
So from 3 to 12 is multiply by 4
So we have checked that it works for all of them
Rule:
Each term is: Two to the power of the number3/4 times the number squared plus 0 times the number
I hope this has helped :)
Show all work to solve 2x2 +7x - 4 = 0
Heyy!!
2x2 + 7x - 4 = 0
4x + 7x - 4 = 0
11x - 4 = 0
11x = 4
x = 4/11
ANSWER: x = 4/11Help me to solve this
Step-by-step explanation:
first we use Pythagoras to get t :
c² = a² + b²
with c being the Hypotenuse.
so,
t² = r² + s² = 10² + 31² = 100 + 961 = 1061
t = sqrt(1061)
and then we use the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with the angles being opposite of their related sides.
so, r/sin(R) = t/sin(T) = t/sin(90) = t/1 = t
sin(R) = r/t = 10/sqrt(1061) = 0.30700278...
R = 17.8786966... ≈ 17.9°
if v = 6i + 3j, what is ||-10v||
The values of ||-10v|| is 51.96 units
Complex numbers are square roots of negative numbers. They are expressions that consist of both the real and imaginary axis.The general form of a complex number is expressed as z = x + iy
Given the complex number v = 6i + 3j,
10v is expressed as 10(6i + 3j)
10(6i + 3j) = 60i + 30j
Take the modulus of the complex number:
[tex]|10v|=\sqrt{60^2+30^2}\\|10v|= \sqrt{1800+900}\\|10v|= \sqrt{2700} \\|10v|=51.96units[/tex]
Hence the values of ||-10v|| is 51.96 units
Learn more on the complex numbers here: https://brainly.com/question/10662770
What is the quotient of the following division problem?
71= 2 = ?
O A. 37 11
B. 35r1
O C. 35r2
O D. 34 r1
Answer:
35 remainder 1
Step-by-step explanation:
71 ÷ 2 = 35.5
The 35 is the whole number part of your answer. The .5 part of the answer is .5 of 2, which is 1
OR you can think that
35 × 2 =70. The 1 is the remaining part from 71.
please help!!! i dont understand
Answer:
C(t)=0.10t + 25
Step-by-step explanation:
gradient = change in y/ change in x = 5/50 = 0.10
the y intercept is 25
so the equation is y = 0.1t + 25
What is the least common multiple of x^2-16 and
x^2+4x-32?
The least common multiple is the smallest expression that can be divided by both of the given expressions.
x^2 - 16 = (x - 4)(x + 4)
x^2 + 4x - 32 = (x + 8)(x - 4)
Both of the factored versions of the expressions have an (x - 4) in them. Thus, that will automatically be included in the LCM. Next, we have to include the (x + 4) and the (x + 8) in our LCM.
LCM = (x - 4)(x + 4)(x + 8)
Hope this helps! :)
Answer:
(x - 4)(x + 4)(x + 8)Step-by-step explanation:
Factorize the given expressions:
x² - 16 = x² - 4² = (x - 4)(x + 4)x² + 4x - 32 = x² + 8x - 4x - 32 = x(x + 8) - 4(x + 8) = (x - 4)(x + 8)The LCM is the product of all unique factors of both expressions:
(x - 4)(x + 4)(x + 8)The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 47 and a standard deviation of 7. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 40 and 68?
This value is approximate.
==========================================================
Explanation:
Let's compute the z score for x = 40
z = (x-mu)/sigma
z = (40-47)/7
z = -1
We're exactly one standard deviation below the mean.
Repeat these steps for x = 68
z = (x-mu)/sigma
z = (68-47)/7
z = 3
This score is exactly three standard deviations above the mean.
Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.
34+34+13.5+2.35 = 83.85
Roughly 83.85% of the one-mile roadways have between 40 and 68 potholes.