Answer:
3/5
Step-by-step explanation:
Remember that odds for plus odds against must be 1. Therefore, 20 out of 50 of the DVRs are defective, so 30 out of 50 would work.
30/50
simplifies into 3/5 so that would be the probability of you picking out a DVR that works, and the probability of picking one that does not work would be the leftover 2/5 . Or, if you're answering with a percent, you would have a 60% chance of picking a working DVR.
I hope this helps, I know the explanation isn't really clear, but I can't really think of another way to explain it.
Answer qn in attachment
Answer:
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Step-by-step explanation:
The given expression to us is ,
[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]
Now take the LCM as ( x - 1 ) and Simplify , we have ,
[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]
Simplifying further , we get ,
[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]
Hence the second option is correct .
Step-by-step explanation:
[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1) - 2}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2 - 2} \\ = \frac{7 - 4x}{2x - 4} = \frac{ - 4x - 7}{2(x - 2)} \\ thank \: you[/tex]
[tex]option \: b \\ thank \: you[/tex]
Find the least number which should be added to 6790 to make it a perfect square
Answer:
add 99 to 6790
Step-by-step explanation:
6790 +99 = 6889 which is 83 squared
What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. HELP PLEASE
Answer:
11.7…?
Step-by-step explanation:
Small triangle and other triangle are similar based on sas theorem (I think) so find scale factor — 2— then do Pythagorean theorem
What is the value of x?
[tex] \frac{4}{5} x - \frac{1}{10} = \frac{3}{10} [/tex]
Answer:
x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{5}[/tex] x - [tex]\frac{1}{10}[/tex] = [tex]\frac{3}{10}[/tex]
Multiply through by 10 ( the LCM of 5 and 10 ) to clear the fractions
8x - 1 = 3 ( add 1 to both sides )
8x = 4 ( divide both sides by 8 )
x = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]
In this picture, the measure of angle theta is 1 radian.
A. True
B. False
*please include an explanation for answer*
Answer:
B
Step-by-step explanation:
A central angle of 1 radian occurs when the arc length is equal to the radius.
Here the radius is 2.5 in and the arc length is 2 in
Thus the statement is False
using the formula of Sin 2A ,cos2a and tan 2a establish that; tab A is = +- root under 1 - cos 2A by 1 + cos 2a
Answer:
Step-by-step explanation:
Given identity is,
[tex]\text{tanA}=\pm\sqrt{\frac{1-\text{cos2A}}{1+\text{cos2A}}}[/tex]
To prove this identity, we will take left side of the identity,
[tex]\pm\sqrt{\frac{1-\text{cos2A}}{1+\text{cos2A}}}=\pm\sqrt{\frac{1-(1-2\text{sin}^2A)}{1+(2\text{cos}^2A-1)} }[/tex]
[tex]=\pm\sqrt{\frac{1-1+2\text{sin}^2A}{1+2\text{cos}^2A-1} }[/tex]
[tex]=\pm\sqrt{\frac{2\text{sin}^2A}{2\text{cos}^2A} }[/tex]
[tex]=\pm(\sqrt{\text{tan}^2A})[/tex]
[tex]=\text{tanA}[/tex] [Right side of the identity]
Hence, proved.
What is the area, in square centimeters, of the isosceles trapezoid below
Answer:
39.48
Step-by-step explanation:
1/2(5.3+13.5)(4.2)
Solve -5x + 5y = 15 and 3x – 2y=-8 by elimination
If someone can help that’d be brilliant
Step-by-step explanation:
-5x+5y=15(multiply by 2)
3×-2y=-8(multiply by 5)
-10×+10y=30
15×-10y=-40
5x=-10
x=-2
Here,
-5x+5y=15.......(I)
and
3x-2y=8.....(II)
Now,
adding 3 in eqn (II)
so, 6x-5y=8
Now,
combining eqn (I) &(II)
-5x+5y=15
+6x-5y=8
[both 5y is cancelled ]
or, x=7
Now,
in eqn(i)
-5x+5y=15
or, -5*7+5y=15
or, -35+5y=15
or, -35-15=-5y
or, -50=-5y
or, -50/-5=y
[minus is cancelled ]
Therefore, y=10 and x=7
Solve 2(1 – x) > 2x.
x < 2
x > 0.5
x < 0.5
x > 2
Answer:
x < 0.5
Step-by-step explanation:
Given
2(1 - x) > 2x ( divide both sides by 2 )
1 - x > x ( add x to both sides )
1 > 2x ( divide both sides by 2 )
[tex]\frac{1}{2}[/tex] > x , that is
x < [tex]\frac{1}{2}[/tex] OR x < 0.5
factorize the following numbers by Factor tree method
20
Answer:
tara specimen!
Step-by-step explanation:
1+2=3 ok
quanto é 50% de 200
Answer:
50
Step-by-step explanation:
quanto é 50% de 200 and this the right answer
Dilate ΔABC by a factor of 2 (with the origin as the center of dilation) to form ΔA′B′C′. Measure the side lengths of the dilated triangle. Confirm that the ratio of corresponding side lengths of ΔABC and ΔA′B′C′ is equal to the scale factor of the dilation.
Answer:
Step-by-step explanation:
This is from PLATO
Given the diagram below, solve for x. Enter only a number rounded to the nearest tenth
Answer:
x = 60 cm
Step-by-step explanation:
using Pythagoras theorem which states that:-
Hypotenuse (h)² = perpendicular (p)² + base (b)²
h = 100 cmb = 80 cmp = x100² = 80² + x²
100² - 80² = x²
10000 - 6400 = x²
3600 = x²
x = 60 cm
What is an equation that represents a line with a slope of -1/2 and crosses through the point (2,-3)
Answer:
y + 3 = -1/2(x - 2)
General Formulas and Concepts:
Algebra I
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify
Point (2, -3)
Slope m = -1/2
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: y - -3 = -1/2(x - 2)Simplify: y + 3 = -1/2(x - 2)− 0.32 + 0.18 = 0.25 − 1.95
Answer:
Step-by-step explanation:
0.18-0.32 = .25-1.95
-0.14 = 1.70
obviously that equation above is not true, I suspect that there were some "x" variables on some of those numbers?
the 28th term of an ap is -5,find the common difference if the first term is 31
Answer:
The common difference is -4/3.
Step-by-step explanation:
Recall that the direct formula for an arithmetic sequence is given by:
[tex]\displaystyle x_n=a+d(n-1)[/tex]
Where n is the nth term, a is the initial term, and d is the common difference.
We are given that the first term a is 31.
We also know that the 28th term is -5. Hence, x₂₈ = -5. Substitute:
[tex]\displaystyle x_{28}=-5=(31)+d(28-1)[/tex]
Solve for d. Simplify:
[tex]-5=31+27d[/tex]
Thus:
[tex]\displaystyle 27d=-36[/tex]
Divide both sides by 27. Hence, the common difference is:
[tex]\displaystyle d=-\frac{36}{27}=-\frac{4}{3}[/tex]
Answer:
-4/3
Step-by-step explanation:
This question is equivalent to:
Find the slope of a line going through points (28,-5) and (1,31).
*Arithmetic sequences are linear. The common difference is the slope.
Any ways to find the slope line the points up and subtract vertically. Then put 2nd difference over 1st difference.
(28,-5)
(1,31)
---------subtracting
27, -36
So the slope or the common difference of this line or arithmetic sequence is -36/27. This reduces to -4/3.
how many divisors does 56 have?
Answer:
1,2,4,7,8,14,28,56 those are the divisors for 56
Step-by-step explanation:
hope that helps >3
56 7*2^3 1,2,4,7,8,14,28,56
i need help with this problem can someone help me!!!!
Answer:
x = 3 in
Step-by-step explanation:
From the Pythagorean theorem,
x² = 4²-7²
√(4²-√7²)
= √(16-7)
= √9
= 3 in
Answered by GAUTHMATH
PLEAS I NEED HELP WITH THIS ONE FAST MY DEAD LINE IS IN TEN MINUTES
Answer:
copper ?? the "slope" is 8.75
Step-by-step explanation:
If function fhas zeros at -3 and 4, which graph could represent function ?
Answer:
Graph A
Step-by-step explanation:
Zeroes mean the x intercepts so the only graph that has points at -3 and 4 is GRAPH A. You can also come to the conclusion by using process of elimination.
Can someone help me pls
Answer:
c = (E/m)^1/2
Step-by-step explanation:
Here, we want to solve for c in the given equation
what we have here is that;
E = m•c^2
Thus;
c^2 = E/m
So we have
c^2(*1/2) = (E/m)^1/2
c = (E/m)^1/2
Joe drinks some milk every day. The graph shows the proportional
relationship of how many liters of milk Joe drinks to number of days.
Find the amount of milk he drinks in 7 days.
====================================
Explanation:
Draw a vertical line up from x = 7 until you reach the diagonal red line. Mark point P at this location. Then from point P, move horizontally until you reach the y axis. You should get to y = 14.
See the diagram below.
The equation of this red line is y = 2x. Whatever the input x is, we double it to get y. So if x = 7, then y = 2x = 2*7 = 14
This means that Joe drinks 14 liters of milk in 7 days. Or you could say his rate is 14 liters per week.
Answer:
The correct answer is 14 liters
Step-by-step explanation:
When you look at the graph you can count the grid squares. In one day Joe drinks 2 liters of milk. So 7 times 2 is 14. That is your answer
Let me know if I did anything wrong. :)
Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?
Answer:
a-b divided into [tex]a^{3} + 0a^{2} b + 0 ab^{2} - b^{3}[/tex]
the reason is that the (a-b) vs (a+b) in the "SOAP"
same, opposite, always a plus the "-" in the "a-b" has to match the
sign between the two cubes
Step-by-step explanation:
Determining the domain and range from a graph
Answer:
Domain = (-∞, ∞)Range = [-2, ∞)Explanation:
There are no restrictions are the domain; it can be any real number.There are no y-values less than -2, meaning the range of y-values must all be greater than or equal to -2, since -2 is the minimum value.The table below shows how much Joe earns, y, after working x hours.
Joe’s Earnings
Hours worked
Money earned
4
$30
10
$75
12
$90
22
$165
The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the y-axis.
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
The slope between (4, 30) and (12, 90) is less because 4 is a factor of 12 and 30 is a factor of 90.
Answer: Given : Joe’s Earnings and hour worked
The relationship between money earned and hours worked is linear.
Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75).
To Find : How do the two slopes compare?
Solution:
Hours worked Money earned
4 $30
10 $75
12 $90
22 $165
slope between (4, 30) and (12, 90),
= (90 - 30)/(12 - 4)
= 60/8
= 15/2
slope between (4, 30) and (10, 75)
= (75 - 30)/(10-4)
= 45/6
= 15/2
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Both Slopes are same.
i hope this helped and have a nice day/night
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same. The correct answer is the third option.
The slope between two points (x₁,y₁) and (x₂, y₂) on a straight line is given by (y₂ - y₁)/(x₂ -x₁ ).
Let's calculate the slopes:
The slope between (4, 30) and (12, 90):
Slope = (90 - 30) / (12 - 4)
= 60 / 8
= 7.5
The slope between (4, 30) and (10, 75):
Slope = (75 - 30) / (10 - 4)
= 45 / 6
= 7.5
As we can see, the slopes between the two sets of ordered pairs are the same.
Thus, the slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Hence, the correct answer is the third option.
Learn more about the slope of the line here:
brainly.com/question/14511992
#SPJ7
Here are two spinners.
6
2
spinner A
spinner B
bome
4
3
2.
4
The two arrows are spun and the score is obtained
by multiplying the two numbers.
1
spinner A
6
2
6
6
12 18
10 2030
4
3
spinner B
a) Complete the possibility space.
5
b) What is the probability of scoring a total of 6?
c) What is the probability of scoring a total greater than 10?
Answer:
2/9 ; 4/9
Step-by-step explanation:
______SPINNER A_____
_____ 2 ____ 4 _____ 6
1 ____ 2 _____4 _____6
3____ 6 _____12____ 18
5____10_____20____30
4 * 3 = 12 ; 5 * 2 = 10 ; 5 * 6 = 30
Probability of scoring a total of 6 :
From the sample space ; Number of 6's = 2
Total sample space = 9
Recall : probability = required outcome / Total possible outcomes
P(total of 6) = 2 / 9
P(total greater than 10) :
Required outcome ; > 10 = (12, 18, 20, 30) = 4
P(total > 10) = 4 / 9
Step-by-step explanation:
b) what is the probability of scoring a total of 6?
b) = 2/9
C) what is the probation scoring a total greater than 10
c)= 3/9
Four friends all five each other presents
The total cost of presents is £80.52
Work out the mean cost of presents in pounds
Step-by-step explanation:
Four friends all give each other presents. The total cost of the presents is £80.52. We need to find the mean cost of a present in pounds. So, the mean cost of a present is equal to 20.13 .
A caterer is agrranging 72 ham sandwiche and 48 pimento cheese sandwiches on serving trays. He would like to arrange the sandwiches so tht each tray has the same number of each kind of sandwich. The number of ham sandwiches on a tray does not need to equal the number of pimento cheese sandwiches on the tray. What is the maximum number of traysthe caterer can use? .
Answer:
24
Step-by-step explanation:
The greatest number of trays the caterer can split the 72 ham sandwiches and 48 pimento cheese sandwiches into can be determined by calculating the highest common factor and 48 and 72
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Factors of 72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
the highest common factor is 48 ad 72 is 24
211 base x is equal to 10110 base 2
Hello,
[tex](211)_x=(10110)_2\\\\2*x^2+x+1=22\\\\2x^2+x-21=0\\\Delta=1+4*2*21=169=13^2\\x=\dfrac{-1+13}{4}= 3\\or\\x=\dfrac{-1-13}{4}\ may\ not\ be\ negative\\\\[/tex]
x=3
What is the distance between (-1,2) and (-5, 2)
Answer:
4
Step-by-step explanation:
The distance between the points (-1,2) and (-5,2)
[tex] \sqrt{( - 5 - ( - 1)) ^{2} + (2 - 2) ^{2} } \\ = \: \sqrt{( - 4)^{2} + (0) ^{2} } \\ = \sqrt{16 + 0} \\ = \sqrt{16} \\ = 4[/tex]
Answered by GAUTHMATH
