Answer:
5/28
Step-by-step explanation:
First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.
The number of ways to choose 2 computers from 8 can be written as [tex]8\choose2[/tex], which is equal to [tex]\frac{8\cdot7}{2}[/tex], which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.
A new cell phone costs $108.99 in the store. What would your total cost be if the sales tax is 4.5%? Round your answer to the nearest cent, if necessary.
Answer: $113.89
Step-by-step explanation:
108.99 * 0.045
= 4.90455
108.99 + 4.90455
= 113.89455
$113.89
Answer:
Total Cost = $113.89
Step-by-step explanation:
Total Cost = Cell phone cost + sale Tax % ( cell phone cost)
Total Cost = $108. 99 + .045 × $108.99
Total Cost = $108.99 + $4.90455
Total Cost = $108.99 + $4.90
Total Cost = $113.89
Line v passes through points (5, 4) and (10, 2). Line w is perpendicular to v. What is the slope of line w?
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation that goes through (5,4) and (10,2)
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{5}}}\implies \cfrac{-2}{5} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{2}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{5}{2}}\qquad \stackrel{negative~reciprocal}{+\cfrac{5}{2}\implies \cfrac{5}{2}}}[/tex]
The circumference of a circular garden is 72.22 feet. What is the radius of the garden?
Answer:
36.11 feet
Step-by-step explanation:
If the circumfrence goes across the circle, and the radius goed halfway, substitute the measuremants. C/2. So, divide 72.22 by 2 and you get 36.11 feet!
I Need help with 4-7
Answer:
Step-by-step explanation:
4) parallel because 118° is a supplement to 62° and the corresponding angles are both 118°
5) NOT parallel. The labeled angles sum to 120° and would sum to 180° for parallel lines.
6) NOT parallel. see pic.
If parallel, extending a line to intersect ℓ₁ makes an opposite internal angle which would also be 48°. The created triangle would have its third angle at 180 - 90 - 48 = 42° which is opposite a labeled 48° angle, which is false, so the lines cannot be parallel
7)
b = 78° as it corresponds with a labeled angle above it
a = 180 - 78 = 102° as angles along a line from a common vertex sum to 180
f = is an opposite angle to 180 - 78 - 44 = 58° as angles along a line from a common vertex sum to 180
e = 180 - 90 - 64 = 26° as angles along a line from a common vertex sum to 180
c = 58° as it corresponds with f
d = 180 - 58 = 122° as angles along a line from a common vertex sum to 180
1. Identify the place value for the following: 162.891
Answer:
Hundreds : 1
Tens : 6
Ones : 2
.
Tenths : 8
Hundredths : 9
Thousandths : 1
Help help help help please math math
Answer:
Answer ️️
Step-by-step explanation:
5.1÷104 = 4.903846154
Central/Inscribed angles pls help with work <3
Answer:
Step-by-step explanation:
Arc angle KLM will be twice ∠KSM = 210°
Arc angle ML will be 210 - 130 = 80°
Arc angle LMS will be twice ∠LKS = 160°
Arc angle SM will be Arc angle LMS - ML = 160 - 80 = 80°
which is the correct word form of 8.16
a . eight and sixteen tenths
b. eight and sixteen hundredths
c. eight hundred sixteen hundredths
d. eight hundred sixteen thousandths
The correct word form of 8.16 is b. eight and sixteen hundredths
Since the number is 8.16, we have 8.16 = 8 + 0.16 = 8 + 16/100
Since we have 8 in the units place, it is pronounced eight.
Also, we have our decimal part 0.16 = 16/100 which is pronounced as sixteen hundredths.
So, combining both we have eight and sixteen hundredths.
So, the correct word form of 8.16 is b. eight and sixteen hundredths
Learn more about decimals here:
https://brainly.com/question/8829988
click on the link i need help
Answer:
Uuuuh thats kind of suspicious, maybe you could post your question without a link? But links are usually scams, so dont do that :)
14
HI=14 and
J
H
=
15
JH=15. Find the length of
I
J
.
IJ.
Answer: IJ = 15
J
15. x
H. I
14
Two congruent Angles —-> Isosceles Triangle
Opposite sides must be congruent.
J
15 15
H. I
14
three sevenths of num is 12.find
the number
Answer:
x = 28Solution:
3/7x = 12
3/7x ÷ 3/7 = 12 ÷ 3/7 ( divide 3/7 in both sides )
x = 12 ÷ 3/7 (divide)
x = 84/3 (simply divide 84 and 3)
x = 28
_______________________
(solution for dividing the fraction and the whole number 12 and 3/7, for those who don't know how to divide fractions and whole numbers...)
12/1 ÷ 3/7
12/1 ÷ 7/3 (reciprocal method)
12/1 × 7/3 (change operation to multiplication)
12/1 × 7/3 = 84/3 (multiply)
84/3 ⇒ 28 (simplify)
15% tip on a bill of 99.99
Answer:
Your tip is $15.00
Step-by-step explanation:
Have a nice day ^^
Ivy bought a bike for $67.82. The sales tax was $4.79. How much money did Ivy spend on the bike before taxes?
Answer: $63.03
Step-by-step explanation:
$67.82 - $4.79 = 63.03
Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)
Which expressions are equivalent to (1/3x - 4x - 5/3x) - (-1/3x -3)?
Select all correct expressions.
-5x + 3
2x - 3 + 3x
-2x + 3 - 3x
-3 + 5x
Answer:
-5x + 3
Step-by-step explanation:
1/3 x - 4x -5/3x + 1/3 x +3
2/3 x -4 -5/3x + 3
3/3x -4x +3
-1 1x -4x + 3
- 5x + 3
:)
The length of a rectangle is 5 meters less than 3 times the width. The perimeter is 46 meters. Find the width.
Answer:
.
Step-by-step explanation:
Find the distance between the points P(4,6) and Q(8,9) to the nearest tenth.
Answers:
A. 25
B. 5
C. 7
D. 19.2
Answer:
B
d(P,Q) = sqrt((xO-xQ)^2 + (yP-yQ)^2) = sqrt(16+9) = 5
Does anyone know how to do this function
Answer:
Step-by-step explanation:
f(x) = 2x + 1
g(x) = ?
h(x) = ln(x)
hgf(x) = ½ln(2x - 3)
All h(x) does is take a natural log of a number, therefore the output
gf(x) = [tex]\sqrt{2x - 3}[/tex]
the change between f(x) and fg(x) is a subtraction of 4 then raising the result to a power of ½.
g(x) = [tex]\sqrt{x - 4}[/tex]
The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and width of the triangle.
Answer:
w = 22 in, h = 8 in.
Step-by-step explanation:
Reading the problem, I immediately see two equations. This hints me towards a system of equations problem.
Statement 1 is The width of a triangle is six more than twice the height.
The width (w) of a triangle is (=) six (6) more (+) than twice (2) the height (h).
Equation 1: w = 6 + 2h
Statement 2 is The area of the triangle is 88 in2.
The formula for the area of a triangle is [tex]\frac{wh}{2}[/tex]. So, we get our second equation.
Equation 2: wh/2 = 88
We see that we have the same number of equations as unknowns, two. This is important as it lets us know that we can find two unknowns in the two equations. If there are more unknowns than equations, then we cannot find the values of all the variables. Look for another equation in the problem. However, if the # equations greater than or equal to number of unknowns, then we are ready to start solving! So, we can now move to solving.
Equation 1 isolates one of the unknowns (w). So, we can replace w in the second equation with the right side of eq 1. Then, we simplify for h.
[tex]\frac{wh}{2} = 88[/tex]
[tex]\frac{(6 + 2h)h}{2} = 88[/tex]
[tex]\frac{6h + 2h^2}{2} = 88[/tex]
[tex]6h + 2h^2 = 176[/tex]
[tex]2h^2 + 6h - 176 = 0[/tex]
[tex]h = -11, 8[/tex] (assuming you know how to solve quadratics)
Since we know that heights of triangles cannot be negative, we find that [tex]h = 8[/tex] in.
For the final step, we plug [tex]h[/tex] into our first equation to find [tex]w[/tex].
[tex]w = 6 + 2h[/tex]
[tex]w = 6 + 2(8)[/tex]
[tex]w = 6 + 16[/tex]
[tex]w = 22[/tex]
So, the answer is w = 22 in, h = 8 in.
To check if we were right, we can plug the values into both equations to see if they are equal. I will skip equation 1 since we used that equation "as-is" to find w.
[tex]\frac{wh}{2} = 88[/tex]
[tex]\frac{22 * 8}{2} = 88[/tex]
[tex]11 * 8 = 88[/tex]
[tex]88 = 88[/tex]
The solution checks out!
To get in shape for the upcoming track season two brothers, Scott and Brian, begin running home after school. Scott runs at a rate of 6 mph and Brian runs at a rate of 4 mph. If they leave school at the same time, Scott arrives home a half-hour before Brian. How long does it take Brian to get home from school
It takes Brian 1.5 hours to get home from school
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let d represent the distance from their school to the house and t represent the time (hours) it takes Brian to teach home.
For Brian:
4 = d/t
d = 4t
For Scott:
6 = d / (t - 1/2)
d = 6t - 3
4t = 6t - 3
2t = 3
t = 1.5 hours
Therefore it takes Brian 1.5 hours to get home from school
Find out more at: https://brainly.com/question/22889670
it is the onion of set of whole numbers and the opposition of the set counting or natural numbers A. integers B. inverse C. Positive D. Negative
integers is your answer
x+3-3= -6
its my quick hot sauce
What is negative 10 divided by .22
Answer:
That would be negative 45 or - 45
Please correct me if im wrong
Which ordered pair represents a solution to the inequality 3x - y < -5?A. (2, -15)B. (1, 10)C. (2, 11)D. (3, 12)
Answer:
(2,11)
Step-by-step explanation:
what i did was actually substitution
It's like ..what I do when I've forgotten how to solve a particular equation in math or even physics
But I'd recommend you find the real solution cuz there's a formula
The initial population of a town is 3500, and it grows with a doubling time of 10 years. What will the population be in 8 years?
Answer:
8 years = 5600
Step-by-step explanation:
10 years = 3500x2= 7000
1 year = 7000/10 = 700
1 year = 700
8 years = 700x8 = 5600
(Note: a research study on coniferous trees of the American West
may sound really boring, but sometimes you might get to climb one
Scientists studying beetle infections on in Western forests discover
that in one particular region called Doug's Backyard, the number of
trees with beetle infestations seems lower than the surrounding
area. In the entire forest they're studying, the rate of severe beetle
infestations is about 0.07 (7%) of the trees, but in a sample of trees
from Doug's Backyard, they found just 0.035 (3.5%) of the trees to
be infested. Based on their statistical calculations, the likelihood that
their sample is just an accident -- that is, that the trees from Doug's
Backyard are actually infested at the same rate as the whole region -
- is 0.003, so they deem their results significant
In this story problem:
• p = 0.07
• Ô
[Select)
• Po =
[ Select)
• The p-value
[Select]
Answer:
p = 0.07
p-hat = 0.035
p0 = 0.07
p-value = 0.003
Step-by-step explanation:
p = population parameter, in this case, the rate of infestations across all trees in the forest
p-hat = test statistic, in this case, the rate of infestations found in the sample of trees, i.e. those in Doug's backyard
p0 = the null hypothesis, in this case, the rate of infestations within the forest is correctly evaluated at 0.07 or 7%
p-value = the likelihood any difference between p and p-hat is down to chance
In this case 0.003 as the p-value means there is only 0.3% probability of our statistic value of 0.035 being down to variability and chance meaning it is 99.7% likely that there is some reason behind this difference;
We would accept the alternative hypothesis which says the current parameter value, 0.07, is in fact incorrect (either too high or too low, in this case, likely too high).
A group of preschoolers has 63 boys and 27 girls. What is the ratio of boys to all children (lowest form)?
Answer:
7 boys to 10 all children
Evaluate the expression for the given variable 4y-12, when y =7
Answer:
16
Step-by-step explanation:
y = 7
4(7)-12
28-12 = 16
Differentiate the function
Answer:
[tex]-\frac{9}{r^4}[/tex]
Step-by-step explanation:
Using Power rule
[tex]\frac{d}{dr} (r^n)=nr^{n-1}\\-\frac{9}{r^4}[/tex]
The answer is F'(r) = [tex]\mathrm {-\frac{9}{r^{4}}}[/tex].
We can rewrite the function as :
F(r) = 3r⁻³
Now, differentiate by power rule :
F'(r) = (-3)3r⁻³⁻¹
F'(r) = -9r⁻⁴
F'(r) = -9/r⁴
18)Angel A and angle b are vertical angles so they are congruent angles. If angle A is (4x+5)° and angle B (-2(x-17.5))° Find the measure of angle B
Answer:
Measure of Angle B = 25°
Step-by-step explanation:
Something to keep in mind: Angle A and B are Vertical Angles so they will always be equal
so;
Angle A = Angle B
(4x + 5) = (-2(x - 17.5))
4x + 5 = -2x + 35 (<= Solved by distributive property)
6x + 5 = 35
6x = 30
x = 5
Now we can find the measure of Angle B, by substituting x by 5 in the B equation;
-2 (x - 17.5) = Angle B
-2 (5 - 17.5) = Angle
-2 (-12.5) = Angel B
25 = Angle B
so measure of angle B = 25
Hope this helps!