Answers
Answer:
Part A: 24
Part B: 256
Step-by-step explanation:
Part A
Without Repetition means that once you use a number out of the given four, it can't be used again.
So the first number can be chosen 4 different ways.The second number can be used 3 different ways.The third number can be chosen 2 different waysAnd the last number has only 1 way to be chosen.Answer: 4*3*2* 1 = 24
Part B
Part B allows repetition. That means that the numbers can be used as many as 4 times.
Answer: 4*4*4*4 = 256
Related Questions
(1 point) Find the size of the sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want 9595% confidence that the error is smaller than 0.03.
Answers
Answer:
The size of the sample = 1088.90
Step-by-step explanation:
Given that:
The confidence interval level = 0.95
The margin of error = 0.03
Suppose the proportion of the boys and the girls are p₁ and p₂ respectively.
The Standard error S.E of difference is:
[tex]S.E (p_1-P_2) = \sqrt{ \dfrac{p_1(1-p_1) }{n} + \dfrac{p_2(1-p_2)}{n} }[/tex]
Assume p₁ = p₂ = 0.5
[tex]S.E (p_1-P_2) = \sqrt{ \dfrac{0.5(1-0.5) }{n} + \dfrac{0.5(1-0.5)}{n} }[/tex]
[tex]S.E (p_1-P_2) =\dfrac{0.70711}{\sqrt{n}}[/tex]
The z-critical value at 95% C.I = 1.96
Margin of error = Z_{critical} × S.E
∴
[tex]0.03 = 1.96 \times \dfrac{0.70711}{\sqrt{n}}[/tex]
[tex]n =\dfrac{\left(1.96\ \cdot\ 0.70711^{2}\right)}{0.03^{2}}[/tex]
n ≅ 1088.90
what is the answer to 5−2x^2=37
Answers
Answer:
x= 4i or -4i
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped :)
Answer:
There are no Solutions to this answer.
Step-by-step explanation:
A set of equations with no solutions is called inconsistent if there is no simultaneous solution for the set.
Brainliest are always appreciated :)
Five times the sum of a number and 7 is 3 more than the double of a number. Find the number.
Show all work.
Please I will make you BARINLIEST!
Answers
Step-by-step explanation:
5 = x + 3. The product of 2 times a number is 10. 2x = 10. One half a number is 10 x/2 = 10. Five times the sum of x and 2 5(x + 2). Seven is greater than x.
Answer:
35
Step-by-step explanation:
This is how you can solve for the missing number that is doubled: ( x )
7 = 3 + 2x
7 ( -3 ) = 3 ( -3 ) + 2x
4 = 2x
4 ( /2 ) = 2x ( /2 )
2 = x
This is how you solve for the number the question is asking for: ( y )
y = 5 ( 3 + 2x )
y = 5 ( 3 + 2 ( *2 ))
y = 5 ( 3 + 4 )
y = 5 ( 7 )
y = 5 * 7
y = 35
i)x-1 by 4=3
ii)3x+6 by 2=3 by 2
iii)3x-1by5=2x+3by7
Answers
Answer:
13,-1,2
Step-by-step explanation:
i hope it is helpful......for you
A microwave is priced at $320.50. There is a 4% sales tax rate. What is the sales tax for the microwave in dollars and cents?
Answers
Answer:
$333.32 hope this helps have a nice day please give me brainliest :)
Step-by-step explanation:
I’m stuck can some one help me
Answers
Answer:
3) Midpoint is (-4,0.5)
Option A is correct.
4) Midpoint is (2.5,0)
Option B is correct.
5) The factors are (x+4)(x-7)
Option C is correct.
6) The factors are (x+4)(x+2)
Option A is correct.
Step-by-step explanation:
Question 3
Find midpoint of the following:
(2,-7), (-10,8)
The formula used to find midpoint is: [tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
We have [tex]x_1=2, y_1=-7, x_2=-10,y_2=8[/tex]
Putting values and finding midpoint
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )[/tex]
So, Midpoint is (-4,0.5)
Option A is correct.
Question 4
Find midpoint of the following:
(2,-10), (3,10)
The formula used to find midpoint is: [tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
We have [tex]x_1=2, y_1=-10, x_2=3,y_2=10[/tex]
Putting values and finding midpoint
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2+3}{2},\frac{-10+10}{2} )\\Midpoint=(\frac{5}{2},\frac{0}{2} )\\Midpoint=(2.5,0 )[/tex]
So, Midpoint is (2.5,0)
Option B is correct.
Question 5
Factor each completely
[tex]x^2-3x-28[/tex]
We will break the middle term and find factors
[tex]x^2-3x-28\\=x^2-7x+4x-28\\Taking\:common\\=x(x-7)+4(x-7)\\=(x+4)(x-7)[/tex]
So, the factors are (x+4)(x-7)
Option C is correct.
Question 6
Factor each completely
[tex]x^2+6x+8[/tex]
We will break the middle term and find factors
[tex]x^2+6x+8\\=x^2+4x+2x+8\\=x(x+4)+2(x+4)\\=(x+4)(x+2)[/tex]
So, the factors are (x+4)(x+2)
Option A is correct.
I need help with 9.) and 10 please help
Answers
Answer:
9. By every 10 seconds, the meters traveled increase by a constant of 8.5 meters.
10. (1,2), (2,4), (5,10), (8,16)
Step-by-step explanation:
For question 9, here is an example. You can find the constant of proportionality by dividing 85 by 10, which is 8.5. So every 10 seconds, the distance traveled in meters by the object will have multiplied by 8.5. You can also do 170 divided by 20, which is also 8.5 thus verifying our answer. Hope this helps you, sorry I couldn’t explain it better.
through: (12,5), slope = 7/6
Answers
Answer:
Step-by-step explanation:
y - 5 = 7/6(x - 12)
y - 5 = 7/6x - 14
y = 7/6x - 9
Which number is equivalent to 32^3/5
Answers
when a number is raised to the power of a rational number it becomes a root of the denominator's order and the number inside the root is raised by the power of the numerator
for example
[tex]x^{\frac{a}{b} }=\sqrt[b]{x^a}[/tex]
in this case
[tex]32^{\frac{3}{5} }=\sqrt[5]{32^3}[/tex]
[tex]=\sqrt[5]{32768}[/tex]
=8
What is the value for x,the length of side bc?7 to
Answers
Answer:
x = 17.5
Step-by-step explanation:
[tex] \triangle ABC \sim \triangle DEF... (given)[/tex]
[tex] \therefore \frac{AB}{DE} = \frac{BC}{EF} [/tex]
[tex] \therefore \frac{10}{4} = \frac{x}{7} [/tex]
[tex] \therefore 2.5 = \frac{x}{7} [/tex]
[tex] \therefore 2.5\times 7= x[/tex]
[tex] \therefore 17.5= x[/tex]
[tex] \therefore x = 17.5[/tex]
3x2 + 6x + 3
Factor out the GCF
Answers
Answer:
[tex]3( {x}^{2} + 2x + 1)[/tex]
Hope this helps!
I eat a third of a box of chocolates there are not 16 left how many were in the box at the start?
Answers
Is x=y -1 a function?
Answers
2x + 4
1
The shape in the figure is a square. Use the properties of a square to determine the
value of x.
OA) x = 0
OB) x = 4
OC) x= 2
D) Can't be determined.
Answers
Answer: x = 0
because the shape is a square
=> 2x + 4 = 4
⇔ 2x = 0
⇔ x = 0
Step-by-step explanation:
Write an question to represent:
one less than the quotient of four and a number x
Answers
Answer:
4/x-1
Step-by-step explanation:
so divide by x
so 4/x
less 1
4/x-1
BRAINLIEST TO CORRECT ANSWER!
The amount of energy taken in by a plant in the form of solar radiant energy, should be equal to the sum of the amount of energy that the plant uses in life processes such as growing and respiration.
Group of answer choices
True
False
Answers
Answer:
True
Step-by-step explanation:
In order to grow, a plant needs all the radient energy that it can get.
Carl button airline ticket two weeks ago the cost of this flight was $300 what is the percent increase
Answers
Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-intercept of -2.
Find the slope of both lines. In the answer box give the slope of the steeper line.
Answers
Answer:
The linear equation in the slope-intercept form will be:
[tex]y\:=\:\frac{2}{3}x+64[/tex]
Step-by-step explanation:
From the line graph, taking two points
(21, 78)(27, 82)Finding the slope between (21, 78) and (27, 82)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(21,\:78\right),\:\left(x_2,\:y_2\right)=\left(27,\:82\right)[/tex]
[tex]m=\frac{82-78}{27-21}[/tex]
[tex]m=\frac{2}{3}[/tex]
We know that the slope-intercept of the line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
substituting (21, 78) and m = 2/3 in the slope-intercept of the line
[tex]y = mx+b[/tex]
[tex]78=\frac{2}{3}\left(21\right)+b[/tex]
switch sides
[tex]\frac{2}{3}\left(21\right)+b=78[/tex]
[tex]14+b=78[/tex]
[tex]b=64[/tex]
substituting b = 64 and m = 2/3 in the slope-intercept of the line
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{2}{3}x+64[/tex]
Therefore, the linear equation in the slope-intercept form will be:
[tex]y\:=\:\frac{2}{3}x+64[/tex]
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement,
If no, justify your answer.
Answers
Answer:
Yes, there is enough information to prove that the triangles are congruent.
SAS POSTULATE
Step-by-step explanation:
[tex] In\:\triangle ABC \: and \triangle XYZ\\[/tex]
[tex] AB\cong XY..... (given) \\[/tex]
[tex] \angle ABC \cong\angle XYZ\\(each \: 90\degree) \\[/tex]
[tex] BC\cong YZ..... (given) \\[/tex]
[tex] \therefore \triangle ABC \cong \triangle XYZ\\(SAS\: postulate) [/tex]
Answer:
YesStep-by-step explanation:
Given
Two sides and and included angle of one triangle is congruent to same on another triangleThis is side-angle-side or SAS congruency postulate
Rosalyn is planning to sell her apartment complex. Ten years ago, she bought the eight-room complex for $420,000.
The building has gained 2.2% in value every year since she bought it. She charges a monthly rent of $720 for each
room, and pays $22,900 per year in upkeep costs. If Rosalyn has kept all of the rooms occupied continuously since
she bought it, to the nearest hundred dollars, how much profit will she have made in total when she sells it?
a.$770,400
b. $554,600
C. $564,300
d. $492,300
Answers
Answer:
It would be $ 564,300 so C
Step-by-step explanation:
just took the test
She made 564300 dollars in total when she sells the apartment.
What is an equation?An equation consists of terms and variables on both sides of the equality sign and they are equal.
Given Rosalyn is planning to sell her apartment complex.
She bought this apartment 10 years for 420000 dollars and every year the apartment gains 2.2% in value.
∴ After 10 years the value of the apartment is,
A = P( 1 + r/100)ⁿ. where n is time in years.
A = 420000( 1 + 2.2/100)¹⁰.
A = 420000( 1.022)¹⁰.
A = 420000×1.243 dollars.
A = 522105.48 dollars.
She charges a monthly rent of 720 dollars for each room and has 8 rooms in it.
∴ Monthly earnings from the apartment are (720×8) = 5760 dollars.
And we know 10 years is 120 months.
∴ In 10 years her earnings from rent are
= 5760×120 dollars.
= 691200 dollars.
The upkeep cost is 22900 dollars per year therefore it is 229000 dollars for 10 years.
∴ The profit she will have selling her apartment is (522105.48 - 420000 + 691200 - 229000) dollars.
= 564305.48 dollars.
= 564300 dollars.
learn more about equations here :
https://brainly.com/question/10413253
#SPJ6
Determine the x-intercept of the line whose equation is given: y = x/2 - 3
a. (6,0)
b. (-6,0)
c. (0, 3/2)
d. (- 3/2,0)
Answers
Answer:
(6,0)
Step-by-step explanation:
To find the x-intercept, plug in 0 for y (because the x intercept is on the x axis) and find x.
0 = x/2 - 3
3 = x/2
x = 6
create an equivalent expression for 4t-18-t+2t+20
Answers
Answer:
5t + 2
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Expression
4t - 18 - t + 2t + 20
Step 2: Simplify
Combine like terms (t): 5t - 18 + 20Combine like terms (Z): 5t + 2Answer:
5 t + 2
That's the answer
Lin’s family has completed 80% of a trip. They have traveled 400 miles. How far is the trip?
Answers
50miles
Step-by-step explanation:
Answer:
500 miles
Step-by-step explanation:
80% is converted to its decimal form 0.8
Multiply 0.8 times "x" which is the unknown total distance of the trip (80% of the total trip) to get 400 because 80% of the trip is 400 miles. Then find x
0.8x = 400
400/0.8 = x
500 = x
Does anyone know the answer to this?
Answers
Answer:
B
Step-by-step explanation:
-3/4y - 1/5y = 380 can be simplified to -19/20y = 380.
In order for the student to incorrectly get 361, they likely just multiplied the 380 by 19/20 rather than multiplying by the reciprocal (which would be -20/19).
This means the best answer should be B.
A line passes through the point (4, -6) and has a slope of 4. Which is the equation of the line?
Answers
Answer:
It is even clearer if we put it in the chart
Here's a graph of a linear function. write the equation that describes that function.
Answers
Answer:
Step-by-step explanation:
slope intercept form => Y = mx + b
find m... the slope by using any two points on the line
p1 = (0,5) by inspection
p2=(4,6) by inspection
find m = y2-y1 / x2-x1
m = 6 - 5 / 4 - 0
m =1 / 4
then use the slope intercept formula
y = 1/4x + 5 for your answer. we know b = 5 b/c thats where the line crosses the y axis.
y = [tex]\frac{1}{4}[/tex]x + 5 is the answer
What’s 123 divided by 3 to the power of 6 multiplied by 1000
Answers
Answer:
41^6000
ithink
Step-by-step explanation:
Answer:I got 41 , if it’s wrong I’m so sorry
Step-by-step explanation:
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 78%.
Answers
Answer: this is what i think
Step-by-step explanation:
How many quarts of pure antifreeze must be added to 8 quarts of a 20% antifreeze solution to obtain a 30% antifreeze solution?
(Round to the nearest tenth as needed.)
Answers
9514 1404 393
Answer:
1.1 quarts
Step-by-step explanation:
Let x represent the amount to be added, in quarts. Then the amount of anti-freeze in the resulting solution is ...
0.20(8) + 1.00(x) = 0.30(8 +x)
0.70x = 0.10(8) . . . . . . subtract 0.20(8)+0.30(x)
x = 8/7 . . . . . . . . . . . . . divide by the coefficient of x
x ≈ 1.142857 ≈ 1.1
About 1.1 quarts of pure antifreeze must be added.
Does this graph show a function? Explain how you know. A. Yes, the graph passes the vertical line test B. Yes; there are no y-values that have more than one x-value. C. No, there are y-values that have more than one x-value. D. No, the graph fails the vertical line test.
Answers
Step-by-step explanation:
the vertical line test means if there are more than one point on a vertical line then it is not a fuction
i cant answer without seeing the graph but i hope this helps