Using the combination formula, it is found that she can select the shirts in 775,200 ways.
The order in which the shirt are chosen is not important, hence, the combination formula is used to solve this question.
Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
3 shirts from a set of 17.Then, 3 shirts from a set of 20.They are independent, hence, to find the total, we multiply both combinations.[tex]T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200[/tex]
She can select the shirts in 775,200 ways.
To learn more about the combination formula, you can check https://brainly.com/question/25821700
if the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height
Please Guyz I Want Full Solved Not Just Answer Please
Answer:
The height of cuboid is 50 cm.
Step-by-step explanation:
Given :
➺ Length of cuboid = 60cm➺ Width of cuboid = 40cm.➺ Surface area of cuboid = 14800cm²To Find :
➺ Height of cuboidUsing Formulas :
[tex]\star\small{\underline{\boxed{\sf \pink{SA_{(Cuboid)} = 2(lb + bh + lh)}}}}[/tex]
»» SA = surface area »» l = length »» b = breadth »» h = heightSolution :
Substituting all the given values in the formula to find height of cuboid :
[tex]{\longrightarrow{\sf{SA_{(Cuboid)} = 2(lb + bh + lh)}}}[/tex]
[tex]{\longrightarrow{\sf{14800= 2(60 \times 40 + 40 \times h + 60 \times h)}}}[/tex]
[tex]{\longrightarrow{\sf{14800= 2(2400 + 40h + 60h)}}}[/tex]
[tex]{\longrightarrow{\sf{14800= 2(2400 + 100h)}}}[/tex]
[tex]{\longrightarrow{\sf{14800= 4800 + 200h}}}[/tex]
[tex]{\longrightarrow{\sf{200h = 14800 - 4800}}}[/tex]
[tex]{\longrightarrow{\sf{200h = 10000}}}[/tex]
[tex]{\longrightarrow{\sf{h = \dfrac{10000}{200}}}}[/tex]
[tex]{\longrightarrow{\sf{h = \cancel{\dfrac{10000}{200}}}}}[/tex]
[tex]{\longrightarrow{\sf{\underline{\underline{\red{h = 50 \: cm}}}}}}[/tex]
Hence, the height of cuboid is 50 cm.
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
Rewrite each equation in exponential form:
log4(q) = m
[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_4(q)=m\implies 4^m = q[/tex]
You start at your school, 10 miles from your house and walk home at a rate of 2 miles per hour **negative slope since you are walking toward your house so the distance to home is DECREASING Distance from Home In Miles Distance from Home (Miles) TO 5 Time (Hours)
Answer:
Step-by-step explanation:
If you're supposed to plot that, it would be a line from (0, 10) to (5, 0)
slope would be -2 mi/hr
HELP ASAP PLEASE!!!!
Answers:
c = 7d = 5=========================================================
Explanation:
For equation A, I'll transform the right hand side into a similar form as the left side. Throughout the steps below, the left hand side stays the same.
[tex]\sqrt{448x^c} = 8x^3\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{(8x^3)^2}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{3*2}}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{6}}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{6}*7x}\\\\\sqrt{448x^c} = \sqrt{64*7x^{6+1}}\\\\\sqrt{448x^c} = \sqrt{448x^{7}}\\\\[/tex]
Therefore, c = 7
Notice that 7/2 = 3 remainder 1. The quotient 3 is the exponent for the term outside the root for [tex]8x^3\sqrt{7x}[/tex] while the remainder 1 is the exponent for the x term inside the root.
---------------------------------------
We do the same idea for equation B.
[tex]\sqrt[3]{576x^{d}} = 4x\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{(4x)^3}\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64x^3}\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64x^3*9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64*9x^{3+2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{576x^{5}}\\\\[/tex]
This must mean d = 5
Note: 5/3 = 1 remainder 2, which means [tex]\sqrt[3]{x^5} = x^1\sqrt[3]{x^2} = x\sqrt[3]{x^2}[/tex]
anyone please help this hard
Answer:
a. 6
b. 21
c. 78
d. 13.5
e. 14
f. 24
Hope that helps!
Fill in the blanks so that the equation has infinitely many solutions.
5y + 6 + 7y = blank (6y + blank)
Answer:
5y +6 +7y = 2 (6y + 3 )
Step-by-step explanation:
We can name the blanks 'a' and 'b'. Then we have ...
5y +6 +7y = a(6y +b)
This will have infinitely many solutions when both sides simplify to the same expression.
12y +6 = 6ay +ab
To have these expressions be the same, we must have ...
12 = 6a . . . . same coefficient of y
6 = ab . . . . same constant
The first of these equations tells us ...
a = 12/6 = 2
Then the second equation tells us ...
b = 6/a = 6/2 = 3
The equation with the blanks filled in is ...
5y +6 +7y = 2 (6y + 3 )
Please help. I really need an explanation on how to solve and graph the first equation.
Answer:
see attached
Step-by-step explanation:
The "slope-intercept" form of an equation for a line is ...
y = mx + b . . . . . . slope m, y-intercept b; m = rise/run
__
boundary linesThere are several ways to graph equations for a line. One is to make use of the intercepts. That is easiest when their coordinates are integer values. The second inequality is in slope-intercept form, so it is easy to see that its y-intercept is -2.
The first inequality can be put into slope-intercept form by solving for y. That is easily done here by subtracting 6x:
y ≤ -6x +10
This shows you the boundary line has a slope of -6 and a y-intercept of 10. To graph it, you can plot the points (0, 10) and (1, 4) and draw a line through them. The point (1, 4) is found by using a "rise" of -6 and a "run" of 1 from the y-intercept:
m = -6 = rise/run = -6/1
(y-intercept) + (run, rise) = (0, 10) +(1, -6) = (1, 4) . . . . another point on the line
__
Similarly, the boundary line of the second inequality goes through its y-intercept (0, -2) and the point (y-intercept) +(1, 5) = (1, 3). Points (0,-2) and (1, 3) are two points on that boundary line.
__
In both cases, the inequality includes the "or equal to ..." case, so the boundary line is part of the solution set. Accordingly, each is drawn as a solid line (not dashed).
__
shadingTo determine where the shading is, you can choose any term with a positive coefficient and look at where it is in relation to the inequality symbol. For your two inequalities, we can look at the left side of the inequality.
first: 6x ≤
second: y ≥
These tell you the first solution set is shaded to the left of the boundary line (where x-values are less than those on the line). The second solution set is shaded above the boundary line (where y-values are greater than those on the line). The solution set for the system of inequalities is the doubly-shaded area to the left of both boundary lines.
_____
Additional comment
The x-term in the second inequality has a positive coefficient also. If we were to look at that one, we would see ≥ 5x. That is, the boundary line has greater x-values than those in the solution set, so it, too, will be shaded to the left. (Left and above are the same half-plane for a line with positive slope.)
If both coefficients are negative, you can multiply by -1, which will also reverse the inequality symbol.
Example: -x-y>6 ⇒ x+y<-6; shaded left or below dashed line.
Help please ! Sishsoshsishsjdhshishd
Today, both the soccer team and the basketball tear
had games. The soccer team plays every 3 days and the
basketball team plays every 5 days. When will both
teams have games on the same day again?
SHOW YOUR WORK PLEASE
Answer:3 to 5
Step-by-step explanation:i took the quiz
shirt original price is $100 and is now 50% off what is the discount price now
Answer:
$50.00 is the discount price
2/5 of 40 I need help
Answer:
32. A.
Step-by-step explanation: because i did 4/5 of 40 and got 32.
Which pair of expressions are equivalent?
A
3x+2+2x and 7x
B
8(x−3) a
nd 8x−24
C
4(x+1) and 4x+1
D
3(5x) and 8x
In one phase of a cycling race, a cyclist has covered three fifths of the total distance. If
there are still thirty km left, what's the total distance of the race?
Step-by-step explanation:
3/5 are done, that means 2/5 are still to do.
that means these 30 km are these 2/5.
2/5 x = 30
2x = 150
x = 75
the total distance is 75 km.
Answer:
75 km
Step-by-step explanation:
2/5 = 30 km
→ Find 1/5
1/5 = 15 km
→ Now find 5/5 or 1
1 = 75 km
Luis goes out to lunch. The bill, before tax and tip, was $14.60. A sales tax of 9% was added on. Luis tipped 19% on the amount after the sales tax was added. How much tip did he leave? Round to the nearest cent.
Add the sales tax to the bill:
Bill with tax = 14.60 x 1.09 = $15.95
Multiply the total bill by the tip percentage:
Tip = 15.95 x 0.19 = 3.02
Tip = $3.02
4.A counterexample can be used to show that a conjecture is false. Below are three
conjectures students made after visiting a zoo. Write a counterexample that shows that
conjecture is false.
a. There are always more elephants in a zoo than giraffes.
b. The oldest leatherback sea turtle in captivity is 33 years
old.
c. American bison are never over 6 feet tall.
Counterexamples are simply used to disprove conjectures.
(a) Elephants and Giraffes
This conjecture may or may not be true.
However, it can be disproved by the following counterexample
There are sometimes more elephants in a zoo than giraffes
The word "sometimes" disproves the original conjecture
(b) The oldest leatherback sea turtle
This conjecture is not true.
This is so because the oldest leatherback sea turtle in captivity is actually 400 years old.
So, the conjecture can be disproved by the following counterexample
The oldest leatherback sea turtle in captivity is 400 years old.
(c) American bison
This conjecture may or may not be true.
However, it can be disproved by the following counterexample
American bison are sometimes over 6 feet tall
The word "sometimes" disproves the original conjecture
Read more about conjectures and counterexamples at:
https://brainly.com/question/1619980
Examine the figure. What is the measure of angle a?
A = 180-90-31
A = 59
Answer: 59
Write a multiplication equation that represents the question: how many 2/3 are in 9/8?
how many 2/3 are in 9/8?
or another way to put it will be
how many times does 2/3 go into 9/8?
well, is simply a division.
[tex]\cfrac{9}{8}\div \cfrac{2}{3}\implies \cfrac{9}{8}\cdot \cfrac{3}{2}[/tex]
the inequality –1 + 6(–1 – 3x) > –39 – 2x.
Answer:
x > 2
Step-by-step explanation:
-1+6(-1-3x)>-39-2x
-1-6 - 18x > -39 - 2x
-7 - 18x + 2x > -39 - 2x + 2x
-7 - 16x + 7 > -39 + 7
16x / 16 > -32 / 16
x > 2
The total area under a chi-squared curve is equal to 1.
True or False
Answer:
true
Step-by-step explanation:
Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work. make sure you put complete sentences
Answer: store b because you can get more ground beat.
Step-by-step explanation:
help me plssssssssssssssssssss
Answer:
multiply by 2
Step-by-step explanation:
Kyla earns a commission. She makes 2.5% of the amount she sells. Last week, she sold
$3,500 worth of furniture. How much was her commission?
Answer:
$87.50
Step-by-step explanation:
Find the equation for the line bellow
QUESTION 14 PLEASE HELP ME ASAPP
Answer:
A
Step-by-step explanation:
A. 2 toys/5 minutes
y/x
Step-by-step explanation:
Why use brainly for this
How many sides does the regular polygon have if each interior angle measure is four times the (1 point)
measure of each exterior angle measure?
Answer:
The exterior and interior angles must add up to 180 degrees. Thus, 180 divided by five gives the exterior angle as 36 degrees (and hence the interior angles as 144 degrees).
Answer:
10 Sides
Step-by-step explanation:
Int Angle + Ext Angle = 180
4Ext + Ext = 180
Ext = 36 degrees
-----
360/36 = 10 sides
Which value of x is a solution of the equation 4(x + 3) - 10 =6 (x -2)
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{4(x + 3) - 10 = 6(x -2)}\\\large\textsf{4(x) + 4(3) - 10 = 6(x) + 6(-2)}\\\large\textsf{4x + 12 - 10 = 6x - 12}\\\large\textsf{4x + 2 = 6x - 12}\\\large\text{SUBTRACT 6x to BOTH SIDES}\\\large\textsf{4x + 2 - 6x = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\text{NEW EQUATION: \textsf{-2x + 2 = -12}}\\\large\text{SUBTRACT 2 to BOTH SIDES}\\\large\textsf{-2x + 2 - 2 = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\textsf{-2x = -14}\\\large\text{DIVIDE -2 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-2x}{-2}= \dfrac{-14}{-2}}\\\large\text{CANCEL out: }\rm{\dfrac{-2}{-2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{-14}{-2}}\large\text{ because it helps solve for the x-value}\\\large\text{NEW EQUATION: }\mathsf{x = \dfrac{-14}{-2}}\\\large\text{SIMPLIFY IT!}\\\large\textsf{x = 7}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\textsf{x = 7}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A 2-gallon bottle of fabric softener costs $16.64. What is the price per cup?
Answer:
each cup would cost $0.52
Step-by-step explanation:
there are 16 cups in 1 gallon so you multiply that by two. Then you have 32 so you divide 16.64 by 32 and you end up with 0.52. hope this helped :))
Tell me I got this wrong
According to the histogram of travel times to work from the US 2000 census (Page 6 of "Journey to Work: 2000"), roughly what percentage of commuters travel more than 45 minutes?
Histograms are used to represent data, where the length of each bar represents the frequency of the data element
The histogram is not given; So, I will give a general explanation.
Assume that the number of commuters that travel more than 45 minutes is 450, while the total number of commuters surveyed is 500.
The percentage of commuters that travel more than 45 minutes is the quotient of the commuters that travel more than 45 minutes and the total number of surveyed commuters.
So, we have:
[tex]\%Percentage = \frac{450}{500}[/tex]
Divide 450 by 500
[tex]\%Percentage = 0.9[/tex]
Express as percentage
[tex]\%Percentage = 90\%[/tex]
Hence, the percentage of commuters that travel more than 45 minutes is 90%
Read more about histograms at:
https://brainly.com/question/2776232
Rewrite the following equation in slope-intercept form. 17x − 4y = 20
Step-by-step explanation:
-4y= -17x+20
4y=17x-20
y= 4.25x-5
Slope intercept form
y=mx+b[tex]\\ \tt\Rrightarrow 17x-4y=20[/tex]
[tex]\\ \tt\Rrightarrow 17x-20=4y[/tex]
[tex]\\ \tt\Rrightarrow y=17/4x-5[/tex]
Men to women working for a company ie 2 to 3 if there are 80 employees total how many men work for the company
Answer:
32
Step-by-step explanation: