Answer:
The random variable is discrete. :)
Step-by-step explanation:
plss, help me!!!
Each of four friends orders a sweatshirt from a catalog. There are 16 colors of sweatshirts, 7 of which are all cotton and 9 wich are blend. Each one orders a different color ( no repeats) at random. What is the probability that the friends order only cotton sweatshirts?
===========================================================
Explanation:
Let's label the friends as A,B,C,D.
Person A has a probability of 7/16 when it comes to ordering a certain color of cotton sweatshirt.
Then 6/15 is the probability for person B. Note how the 7 and 16 drop by 1 for each. This is because no repeats are allowed. If person A goes for a blue sweatshirt, then person B cannot select blue as well.
Person C's probability is 5/14 and person D has a probability of 4/13
-------------------------
So we have these fractions: 7/16, 6/15, 5/14, 4/13
Once again, we have the numerators and denominators counting down by 1 each time.
Multiplying those fractions gets us...
(7/16)*(6/15)*(5/14)*(4/13)
(7*6*5*4)/(16*15*14*13)
840/43680
(1*840)/(52*840)
1/52
So if you did 52 trials of this, then you should expect about 1 of those trials is where each friend orders a different color cotton sweatshirt.
1/52 = 0.0192 = 1.92% approximately
So this happens about 1.92% of the time.
what is the x-coordinate of the red point
Answer:
The answer:
The choose (C) –3
Si el largo de un rectángulo mide el doble del ancho que es "a", ¿cuál es su área?
Answer:
El área es 2 veces el cuadrado del ancho del rectángulo.
Step-by-step explanation:
El área de un rectángulo viene dado por:
[tex] A = a*l [/tex]
En donde:
a: es el ancho
l: es el largo
Si el largo es el doble del ancho:
[tex] l = 2a [/tex]
Entonces el área es:
[tex] A = a*l = a*(2a) = 2a^{2} [/tex]
Por lo tanto, el área es 2 veces el cuadrado del ancho del rectángulo.
Espero que te sea de utilidad!
An angel is formed by A: Parallel lines B: any ray and any line C: Two rays that shares the same end point D: any two rays
plz help me
Answer:
c
Step-by-step explanation:
answer pleaseee help
Answer:
should be A & D they are multiplying the x by a number less than 1 (between -1 & 1)
Step-by-step explanation:
The pie chart shows the information about the favourite ice creme flavour of each student in a schcool.There are 720 students at this school
Answer:
there would be many diffrent answers
Step-by-step explanation:
provide the full question, i can deduct that there are many ice cream flavors.
Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65 how many of each type of coin does she have?
Answer:
She has 23 nickels and 5 dimes.
Step-by-step explanation:
Let n = the number of nickles and d = the number of dimes.
The number of each = 28. Set up the equation:
n + d = 28
Solve for n:
n = 28 - d
The total amount is $1.65 or 165 cents:
5n + 10d = 165
Substitute:
5(28 - d) + 10d = 165
140 - 5d + 10d = 165
140 + 5d = 165
5d = 165 - 140
5d = 25
d = 5, the number of dimes.
Solve for n:
n = 28 - d
n = 28 - 5 = 23, the number of nickles.
Proof:
5n + 10d = 165
5(23) + 10(5) = 165
115 + 50 = 165
165 = 165
Hope this Helps! Have an Awesome Day!!! <3
Step-by-step explanation:
Answer:
Sofia has 23 nickles & 5 dimes
Step-by-step explanation:
The number of each is 28
Form an equation:
[tex]n+d=28[/tex]
Solve for n:
[tex]n=28-d[/tex]
The total amount is $1.65 for 165 cents:
[tex]5n+10d=165[/tex]
Substitute:
[tex]5(28-d)+10d=165[/tex]
[tex]140-5d+10d=165[/tex]
[tex]140+5d=165[/tex]
[tex]5d=165-140[/tex]
[tex]5d=25[/tex]
[tex]d=25/5[/tex]
[tex]d=5[/tex]
Solve for n:
[tex]n=28-d[/tex]
[tex]n=28-5=23[/tex] ⇒ the number of nickles
CHECK:
[tex]5n+10d=165[/tex]
[tex]5(23)+10(5)=165[/tex]
[tex]115+50=165[/tex]
[tex]165=165[/tex]
hope this helps....
This is my last question, I hope to get the right answer
pls and ty :>
Answer:
Options A , D , E
Step-by-step explanation:
Triangle has angles 27° and 45°
The third angle = 180 - 27 - 45 = 108°
Therefore, the angles of ABC are 27° , 45° , 108°
=> ABC is Scalene triangle .
Option A :
Triangle DEF :
3x + 5x + 12x = 180°
20x = 180°
x = 9
Therefore , the angles of DEF = 27° , 45° , 108°
Satisfies
Option B:
Triangle GHI is Isosceles triangle with one angle 108°
But ABC is scalene , therefore not similar.
Does not satisfy.
Option C :
Triangle JKL with one of the angle = 72°
But none of the angles of ABC is equal to 72° .
Therefore, not similar.
Does not satisfy.
Option D :
Triangle MNO have angles 45° and 108°.
Sum of angles of triangles = 180°
So the third angle of MNO = 27°
Therefore , MNO is similar to ABC.
Satisfy.
Option E:
Angles of triangle PQR are 45° , x° , 4x°
Lets find all the angles .
45 + x + 4x = 180°
5x = 180 - 45
5x = 135
x = 27
Therefore, the angles of PQR = 45° , 27° , 108°
Hence similar to triangle ABC.
Satisfy
Option F :
Angles of triangle STU (5x + 3)°, (9x)° , (21x + 2)°
Sum of the angles => 5x + 3 + 9x + 21x + 3 = 180°
=> 35x = 180 - 5
=> 35x = 175
=> x = 5
Therefore, the angles are
5x + 3 = 5( 5) + 3 = 25 + 3 = 28°
9x = 9 ( 5 ) = 45°
21x + 2 = 21(5) + 2 = 105 + 2 = 107°
The angles are not congruent to the angles of Triangle ABC
does not satisfy.
Solve the inequality:
[tex]4x+3\ \textgreater \ 19[/tex]
Answer:
x > 4
Step-by-step explanation:
4x + 3 > 19
4x + 3 - 3 > 19 - 3
4x > 16
4x/4 > 16/4
x > 4
Hope this helps.
[tex]4x + 3 > 19 \\ = > 4x > 19 - 3 \\ = > 4x > 16 \\ = > x > \frac{16}{4} \\ = > x > 4[/tex]
Answer:
x > 4
Hope you could understand.
If you have any query, feel free to ask.
Please help me my little sister and i don’t understand!!
Hi!
These two angles are alternate interior angles, so they are congruent. Thus:
∠A = ∠B
6x + 5 = 4x + 45
Solve for x:
2x + 5 = 45
2x = 40
x = 20
Solve for ∠A by substituting in this value:
∠A = 6(20) + 5 = 125°
Solve the equation and enter the value of x below. 4(x + 1) = 64
Answer:
15
Step-by-step explanation:
Use the distributive property
4x+4=64, then subtract
4x=60, then divide
x=15
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]4(x + 1) = 64 \\ 4x + 4 = 64 \\ 4x = 64 - 4 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]
=> The answer is 15.
According to general equation for conditional probability, if P(A^B) = 2/3 and P(B) = 3/4, what is P(A|B)?
Answer:
a
Step-by-step explanation:
ok
Answer:
D. 8/9
Step-by-step explanation:
Solve the equation and enter the value of x below. -1(4 + x) = 6
-1 (4 + x) = 6
=> 4 + x = 6/-1
=> 4 + x = -6
=> x = -6 -4
=> x = -10
PLEASE HELP ASAP WHAT IS THE ANSWER TO THIS QUADRATIC EQUATIONNNN
Answer:
pls i don't know
Someone please help me on this and please tell me the answer directly please !!
Answer:
I find this question
and I suppose your first question is should be 12 ( I'm not sure)
Answer:
The first one is: 12
The second one is: Subtract 1.1j from both sides.
The third one is: i'm not sure about that one
The fourth one is: 1/2
Step-by-step explanation:
Consider the following hypothesis test: : : A sample of provided a sample mean and a sample standard deviation . Enter negative values as negative numbers. a. Compute the value of the test statistic (to three decimal places).
Answer:
-1.540
Step-by-step explanation:
H0 : μ = 18
H0 : μ ≠ 18
The sample size, n = 48
Sample mean, xbar = 17
Sample standard deviation, s = 4.5
α = 0.05
The test statistic :
(xbar - μ) ÷ (s/√(n))
(17 - 18) ÷ (4.5 / √48))
-1 ÷ 0.6495190
= -1.5396
= -1.540 (3 decimal places ).
Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
1) Least common denominator of 4 and 2 is 4
To eliminate the fraction, each term should be multiplied by 4
ANS:option c
2) Mercury level of water 'y' years = Initial measure +rate of increase 'y' years
0.05 +0.1y = 0.12+0.06y
Ans : Option c
3) 4b +6 = 2 - b + 4
Add 'b' to both sides
4b + b + 6 = 2 + 4
5b + 6 = 6
Subtract 6 from both sides
5b = 6 - 6
5b = 0
b = 0
Ans : Option b
4) Maximum decimal places in this equation is 2. So, to eliminate decimal places, The equation should be multiplied by 100
Ans: option d
5) y +6 = -3y + 26
Add 3y to both the sides
y + 6 + 3y = 26
y + 3y + 6 = 26
4y + 6 = 26
Subtract 6 from both sides
4y = 26-6
4y = 20
Divide bothe sides by 4
y = 20/4
y = 5
Ans: option c
6) '2x' is subtracted from both side of the equation.
Ans: option a - subtraction property of equality
Complete the function for this graph.
Answer:
[tex]y=|x-(-2)|+2[/tex]
Step-by-step explanation:
Hope this is helpful.
The required absolute function is given as y = |x - 2| + 2.
Given that,
From the graph, y = |x - h| + k, values of h and k is to be determined,
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
In the graph and function, h represents the shift on the x-axis, which 2 units left so the value of h is 2, while k is given the shift of the function over the y-axis which 2 units up means that k = 2
Thus, The required absolute function is given as y = |x - 2| + 2.
learn more about function here:
brainly.com/question/21145944
#SPJ2
what is the equation of the circle shown in the graph?
Answer:
(x + 6)² + (y - 4)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 6, 4 ) and r = 3 , then
(x - (- 6) )² + (y - 4)² = 3² , that is
(x + 6)² + (y - 4)² = 9
What is the equation of the following line written in general form?
Answer:
The first option
Step-by-step explanation:
[tex]4x + 5y - 34 = 0[/tex]
Express sin U as a fraction in simplest terms
Answer:
4/5
SOH-CAH-TOA
sin = opposite / hypotenuse
Hypotenuse = sqrt(18^2 + 24^2) = 30
sin 24/30 = 4/5
Step-by-step explanation:
What is the
No solution, one solution, and infinitely solutions
to the equation 2x+5+2x+3x=3x+5?
Answer:
one solution
Step-by-step explanation:
how do you find the arc length of a semi-circle?
the arc length is calculated by the formula [tex]\displaystyle\bf C=\frac{2\pi r}{360} \cdot\alpha[/tex] then [tex]\displaystyle\bf C=\frac{2\cdot 8 \pi }{360} \cdot180=8\pi=3,14\cdot8=25.12[/tex] or it can be calculated using the circumference of the circle since we have a semicircle the circumference 2πr must be divided by 2 С=2πr:2=πr =8π=25,12
1.the graph of y = x² is moved five units upward
2.the graph of y = 5x² is moved six units to the left
3.the graph of y = -2x² is moved seven units downward
4.the graph of y = -x² is moved two units to the left and four units downward
5.the graph of y = -3x² is moved two units to the right
Answer:
I guess that we want to find the equation for each case.
First, let's define the translations:
Horizontal translation.
For a function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
if N > 0, the translation is to the left
if N < 0, the translation is to the right.
Vertical translation:
For a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
if N > 0, the translation is upwards
if N < 0, the translation is downwards.
Now that we know these, we can find the equations for each case:
1. the graph of y = x² is moved five units upward
the graph is given by a vertical translation of 5 units upward.
y = x^2 + 5
2 the graph of y = 5x² is moved six units to the left
this is:
y = 5*(x + 6)^2
3: the graph of y = -2x² is moved seven units downward
this is:
y = -2x^2 - 7
4: the graph of y = -x² is moved two units to the left and four units downward
now we have two translations, first 4 units to the left and then 4 units downwards, this gives:
y = -(x + 4)^2 - 4
5: the graph of y = -3x² is moved two units to the right
Remember that to move the graph to the right, we need to have N negative, then:
y = -3(x - 2)^2
vedanta Excel In Opt. Mathematics - Book 9
8.
Find the locus of a point which moves so that
Its distance from (1, 2) and (2, -3) are equal.
(5^3)^5 please need help on this one
Answer:
Step-by-step explanation:
[tex](5^3)^5=5^{15}[/tex] which is absolutely huge. In scientific notation it is
3.051757813 × 10¹⁰
Answer:
(5×5×5)=125
125^5=30,517,578,125
final answer=30,517,578,125
what is this please help
Answer: The answer in the blank is 2/5.
Step-by-step explanation: To divide fractions, flip the second fraction's denominator and nominator and then change the sign to a multiplication sign. Multiply. 4/5 x 3/1 = 12/5. Make 12/5 a mixed number. Since 12 can hold 2 fives, the people who created this question placed a 2 before the blank. 2/5 is remaining, so the blank is 2/5.
solve the equation 4x-|-2|=18
Find the circumference of this circle
using 3 for TT.
C = ?
[tex]{ \bf{ \underbrace{Given}}}[/tex]:
Diameter of the circle "[tex]d[/tex]" = [tex]36[/tex]
Value of [tex]π[/tex] = [tex]3[/tex]
[tex]{ \bf{ \underbrace{To\:find}}}[/tex]:
The circumference "[tex]C[/tex]" of the circle.
[tex]{ \bf{ \underbrace{Solution }}}[/tex]:
[tex]\sf\pink{The\:circumference \:"C"\:of\:the\:circle\:is\:108.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]
[tex] = 3 \times 36[/tex]
[tex] = 108[/tex]
Therefore, the circumference of the circle is [tex]108[/tex].
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Answer:
[tex]\Longrightarrow: \boxed{\sf{108}}[/tex]
Step-by-step explanation:
Apply the formula for the circle's circumference.
[tex]\text{Circumference circle formula:}[/tex]
[tex]\Longrightarrow: \sf{C=\pi d}[/tex]
[tex]\Longrightarrow:\sf{C=?}\\\\\Longrightarrow:\sf{\pi =3}\\\\\Longrightarrow:\sf{d=36}[/tex]
Multiply.
[tex]\sf{3*36=\boxed{\sf{108}}[/tex]
Therefore, the correct answer is 108.I hope this helps! Let me know if you have any questions.
Find the slope of the line that passes through (7, -1) and (15,9)
Answer:
5/4
Step-by-step explanation:
slope = rise/run
slope=y2-y1/x2-x1
slope=9-(-1)/15-7=10/8=5/4
So the answer is 5/4.
Answer:
5/ 4
Step-by-step explanation:
slope of a line is the rate of change of y co-ordinates with respect to the change in x co-ordinates.
therefore,
[tex]slope = \frac{9 - (-1}{15-7) } \\ = \frac{10}{8} \\ = \frac{5}{4} [/tex]
as we were given 2 points the rate of change of x and y co-ordinates will be equal to the difference between the values of each for the two points.
