A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?
21
45
90
Answer:
45
Step-by-step explanation:
The order in which the items are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many possible subsets of 2 items can be chosen from this lot?
Combinations of 2 from a set of 10. So
[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Answer:
45
Step-by-step explanation:
What is the volume of this rectangular prism?
Answer:
[tex] \frac{1}{2} {cm}^{3} [/tex]
Step-by-step explanation:
[tex]v = whl \\ = \frac{1}{4} \times 2 \times 1 \\ = \frac{2}{4} \\ = \frac{1}{2} {cm}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Question 4 11 point)
Four hundred grocery store shoppers were surveyed to determine their favorite fruit. How many shoppers prefer bananas?
Favorite Fruit
Bananas Apples
32%
35%
Cherries
33%
Os 32
Answer:
128
Step-by-step explanation:
128 is the right
peanut butter
If you spun the spinner 1 time, what is the probability it would land on a white piece?
Answer:
4/7
Step-by-step explanation:
Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7
Solve algebraically
x-4y=-10
x+y=5
Answer:
if x+y=5, then x=5-y
so x-4y=-10
5-y-4y=-10
5-5y=-10
-5y=-15
y=3
x=5-y
x=5-3
x=2
x=2; y=3
What was the percentage decrease in the number of accidents between 1950 and 1976?
Answer:
the percentage decrease in the number of accidents between 1950 and 1976 is (25.9)
Use Pythagorean Theorem to find the missing side length. Round to the nearest tenth.
Answer:
15.1
Step-by-step explanation:
The Pythagorean theorem is
a^2 +b^2 = c^2
23^2 + b^2 = 27.5^2
529 +b^2 =756.25
Subtract 529 from each side
529-529+b^2 =756.25-529
b^2 =227.25
Take the square root of each side
b =sqrt(227.25)
b =15.07481343
To the nearest tenth
b = 15.1
Answer:
15.1
Step-by-step explanation:
How many tangents that are common to both circles can be drawn?
A.1
B.2
C.3
D.4
Answer:
D. 4
Step-by-step explanation:
If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.
I hope this helped and have a good rest of your day!
Consider the system of equations. 5x + 2y = 6, 10x + 4y = 12 Which equation is equivalent to the first equation of the system and can be used to solve the system using the linear combination method
Step-by-step explanation:
(5x+2y=6)2
10x+4y=12
10x+4y=12 then substract
10x+4y=12
0=0 true so, it have infinite s/n
tan(-20°) = _____. -tan 20° tan 20° tan (-160°) -tan 160°
Answer:
-tan 20
Step-by-step explanation:
They have the same answer when typed in a calculator
1 1/7 times 3/5 plz answer now
Answer:
24/35 or 0.6857142
Step-by-step explanation:
Answer:
[tex] \frac{24}{35} [/tex]
alternative form:
[tex] 0.685714286 [/tex]
Step-by-step explanation:
[tex]1 \frac{1}{7} \times \frac{3}{5} \\ multiply \: 1 \: and \: 7 \\ \\ \frac{7 + 1}{7} \times ( \frac{3}{5} ) \\ add \: 7 \: to \: 1 \\ \\ \frac{8}{7} \times ( \frac{3}{5} ) \\ remove \: parenthesis \: and \: put \\numerator \: times \: numerator \: and \\ denominator \: times \: denominator \\ \\ \frac{8 \times 3}{7 \times 5} \\ do \: the \: multiplications \\ \\ \frac{24}{35} [/tex]
can someone tell me how to do this
Answer:
must not be
Step-by-step explanation:
The whole thing equals 360 degrees
Angle B and Angle D are equal; which equals 190 degrees.
Add Angle A to 190 degrees; which is 86 + 190 = 276.
Subtract 360, which is what the whole thing equals, and 276, which is the known angle added together, and you get 56.
In order for this to be a parallelogram, the opposite angles need to be equal.
Since they are not, the answer is must not be.
. You deposit $600 in an account that earns simple interest. The difference between the total interest earned after 5 years and the total interest earned after 3 years is $24. What is the annual interest rate?
Answer:
The answer is .007874989
Step-by-step explanation:
Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x
Answer:
2.8-5.4
Step-by-step explanation:
4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right
The marcus family goes out to eat 4 nights during vacation. There are two adults and two children in their family
The first night they go out to a buffet, the cost is 24.99 per adult and 12.99 per child. Plus 8% sales tax, how much did dinner cost?
answer:
82.0476 i think
Step-by-step explanation:
Answer:
82.04 dollars
i hope this was helpful
Step-by-step explanation:
[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work
Answer:
Step-by-step explanation:
[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]
[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]
[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]
[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]
[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]
[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]
[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]
x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]
x = [tex]\sqrt[3]{8^{5}}[/tex] -2
A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?
Answer:
baseball my guy
Step-by-step explanation:QUICK MATHS
Answer: baseball is liked less
Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)
What is the negative square root of 4,900?
Answer: -70
Step-by-step explanation: hope I helped
Which function has the same range as f(x)=-2√x-3+8?
Answer:
[tex]g(x)=-\sqrt{x+3}+8[/tex]
Step-by-step explanation:
got it right
g(x) = - √x + 3 +8 has the same range.
What is the range of a function simple?The variety of a feature is described as a set of solutions to the equation for a given input. In different words, the range is the output or y fee of a characteristic. There is the most effective range for a given function.
What is range in a relation?The set which contains all the first elements of all the ordered pairs of relation R is known as the domain of the relation.
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20 is what percent of 60
Answer:
30%
Step-by-step explanation:
Answer:
33.333333333333%
Step-by-step explanation:
Which statement about the parabola is not true?A. The focus lies on the axis of symmetry.B.The directrix of the parabola is parallel to the axis of symmetry.C. Each point on the parabola is equidistant from the directrix and the focus
Answer:
Option B
The directrix of the parabola is parallel to the axis of symmetry
Step-by-step explanation:
The directrix of the parabola is not parallel to the axis of symmetry. It is as a matter of fact, perpendicular to it.
A parabola is actually a set of points that are equidistant from a given point, the focus, and a given line the directrix.
The axis of symmetry is a line that divides the parabola into two equal halves and it always passes through the focus.
The directrix of the parabola is always perpendicular to this axis of symmetry as they always intersect at right angles.
We want to see which one of the given statements is false. We will see that the false one is B: "The directrix of the parabola is parallel to the axis of symmetry"
So in a parabola, we define the axis of symmetry as the vertical line that divides the parabola in two equal parts.
For a general parabola:
y = a*x^2 + b*x + c
The line of symmetry is at:
x = -b/2a
While we know that in a parabola the directrix is a horizontal line.
So the axis of symmetry and the directrix are perpendicular lines.
Then the statement that is false is B: "The directrix of the parabola is parallel to the axis of symmetry"
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Complete the point-slope equation of the line through (-9,6)(−9,6)left parenthesis, minus, 9, comma, 6, right parenthesis and (-7,-8)(−7,−8)?
Answer:
Step-by-step explanation:
hello : here is an solution
The equation of the line in point-slope form is y - 6 = -7(x+9)
The equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is any point on the line
Given the coordinate points (-9, 6) and (-7, -8)
Get the slope of the line:
slope = -8-6/-7+9
Slope = -14/2
Slope = -7
Using the point (-9, 6), the required slope is expressed as:
y - 6 = -7(x-(-9))
y - 6 = -7(x+9)
Hence the equation of the line in point-slope form is y - 6 = -7(x+9)
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Solve using elimination.
- 8x + 2y = -20
8x - 5y = 14
Answer:
x = 3, y = 2
Step-by-step explanation:
~ Through process of elimination ~
1. - 8x + 2y = -20
+ 8x - 5y = 14
2. Simplify to solve for y through simple algebra:
2y - 5y = -20 + 14 ⇒ - 3y = - 6 ⇒ y = 2
3. Now substitute this value of y into the to equation - 8x + 2y = -20 to get x:
- 8x + 2 ( 2 ) = -20 ⇒
-8x + 4 = -20 ⇒
-8x = -24 ⇒
x = 3
I Will pick brainless answer! A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama used to make the cookies?
Answer:
d: 1/2
Step-by-step explanation:
Answer:D. 1/2 c
Step-by-step explanation:A recipe is 100% and 3/4 is 75%. 75% of 2/3 is 1/2.
vvvvvvv help me plzzzzzzzzzzzzzzz
Answer:
the answer is 0
Step-by-step explanation:
she had -27 in her bank the she added 27
type an equation for the line shown in the graph
Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20
The total finance charge over the course of his loan is $2071.20.
It is required to find the total finance charge.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given that:
Loan= $15,000
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.
The sum of those 48 payments is ...
=48 × $23.71 =
=$1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.
so his total finance charge will be
= 15 × $138.08
= $2071.20
Therefore, the total finance charge over the course of his loan is $2071.20.
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Answer:
D.
$2,071.20
Step-by-step explanation:
PLZ HELP! WILL MARK BRAINLIEST
Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest.
1/x , x/8, 65%
x=
Answer:
4
Step-by-step explanation:
If you add 4 it would be 1/4, 4/8, 65% which goes from least to greatest!
Answer:
x= 3
Step-by-step explanation:
1/3 = 33.3%. 3/8 = 37.5%. 65%
Hope this helps.
What is 1200 milligrams converted into grams
Answer:
The answer is 1.2 grams.
Step-by-step explanation: So 1,000 milligrams is 1 gram. So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.
Miguel stated that any monomial can be a cube root. Sylvia disagreed and said that a monomial cube root must have exponents divisible by 3. Who is correct, and why?
Sylvia is correct. Any variable term, when it is cubed, always has an exponent divisible by 3.
Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
Sylvia is correct. In order for the cube to have exponents that are divisible by 3, the cube root has to be divisible by 3.
Miguel is correct. Sylvia confused the perfect square root with the perfect cube root.
Option B. is correct
Polynomial equation are equation of number independent variables having relationship with dependent variable.
Since,
A monomial can have higher exponents so its exponents has probability to get divisible by 3 so when cube root for monomial performed.
for example [tex]\sqrt[3]{x^3}[/tex] = x
Thus, Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
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Answer:
option B
Step-by-step explanation:
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