Answer:
Step-by-step explanation:
Let A,B, and C be the respective events that the first, second, and third drawn orange is good.
Therefore, probability that first drawn orange is good, P(A)=
15
12
The oranges are not replaced.
Therefore, probability of getting second orange good, P(B)=
14
11
Similarly, probability of getting third orange good, P(C)=
13
10
The box is approved for sale if all the three oranges are good.
Thus, probability of getting all the oranges good =
15
12
×
14
11
×
13
10
=
91
44
=0.48
Therefore, the probability that the box is approved for sale is 0.48
Answer:i
i) 7/15
ii) 7/15
Step-by-step explanation:
total: 10
good: 7
bad: 3
i) both are good
p(both good) = 7/10 * 6/9 = 42/90 = 7/15
ii) one good & one bad
p(first good & second bad) = 7/10 * 3/9 = 21/90 = 7/30
p(first bad & second good) = 3/10 * 7/9 = 21/90 = 7/30
p(one good & one bad) = 7/30 + 7/30 = 14/30 = 7/15
Compare |−49| and |−52|. 50 POINTS HELP ASAP PLEASE ANYONE PLEASE A) |−49| |−52| D) |−49| ≥ |−52|
Answer:
|-49| < |-52|
Step-by-step explanation:
|-49| = 49
|-52| = 52
49 < 52
--> |-49| < |-52|
Answer:
|-49|<|-52|
Step-by-step explanation:
Absolute Values
|-49|=49
|-52|=52
49<52 so
|-49|<|-52|
Round 765,903 to the given place value Thousand
Answer:
770,000?
Step-by-step explanation:
your just rounding
Answer:
766,000
Step-by-step explanation:
Brainliest pleeease
Use the Distributive Property to rewrite each expression. 1: Write 3x -1 + 5x + 7 in simplest form. 2: Find (x + 1) + (x + 1). 3: Find (4x - 7) - (2x - 2)
Answer:
Here is an example
Use distributive property to write an expression that is equivalent to 5 x + 25. Solution : 5x + 25 = 5x + 5(5) 5x + 25 = 5(x + 5) Example 7 : Use distributive property to write an expression that is equivalent to 7y + 5y. Solution : 7y + 5y = y(7 + 5) Example 8 : Use distributive property to write an expression that is equivalent to 0.2y + z.
Step-by-step explanation:
Find (f-g)(x)
Help me please
Answer: B
Step-by-step explanation:
To find (f-g)(x), you simply subtract f(x) and g(x). With the given functions of f(x) and g(x), we can directly subtract them.
f(x)-g(x) [plug in f(x) and g(x)]
-3x+2-x³ [rewrite in the correct order]
-x³-3x+2
Since there are no like terms for us to combine, B is our correct answer.
Can someone explain the math on how you do 3 divided by 4
Answer:
3/4=.75
i wish i could explain but i dont really know but there's the anwser at least
Hope i helped
SJ
Answer:
the answer is 0.75
Step-by-step explanation:
You can put that into a decimal. 3/4 = 0.75 . Dividing a number by a larger number ends in an answer that is less than one always!.
- 2n+1 = 3(n+ 2)
multi-step equations
Answer:
[tex] - 2n + 1 = 3n + 6 \\ - 2n - 3n = - 1 + 6 \\ - 5n = 5 \\ n = \frac{5}{ - 5} \\ n = - 1[/tex]
Answer:
n = -1
Step-by-step explanation:
Solve for n:
1 - 2 n = 3 (n + 2)
Expand out terms of the right-hand side:
1 - 2 n = 3 n + 6
Subtract 3 n from both sides:
1 + (-2 n - 3 n) = (3 n - 3 n) + 6
-2 n - 3 n = -5 n:
-5 n + 1 = (3 n - 3 n) + 6
3 n - 3 n = 0:
1 - 5 n = 6
Subtract 1 from both sides:
(1 - 1) - 5 n = 6 - 1
1 - 1 = 0:
-5 n = 6 - 1
6 - 1 = 5:
-5 n = 5
Divide both sides of -5 n = 5 by -5:
(-5 n)/(-5) = 5/(-5)
(-5)/(-5) = 1:
n = 5/(-5)
The gcd of 5 and -5 is 5, so 5/(-5) = (5×1)/(5 (-1)) = 5/5×1/(-1) = 1/(-1):
n = 1/(-1)
1/(-1) = -1:
Answer: n = -1
Subtracting 3 from the product of 6 and a number results in the number added to 52
Answer: 11
Step-by-step explanation:
Let x = the number
6x-3=52+x
6x=55+x
5x=55
x=11
Hope this helps!! :)
Please let me know if you have any questions
Find the midpoint of the segment with the given endpoints.
(-7,10) and (6.-10)
Answer:
c
Step-by-step explanation:
cc
Using the information regarding the proportion of work time linguists study a new language, choose the correct conclusion for this hypothesis test. H0:p=0.10 ; Ha:p>0.10 The p-value for this hypothesis test is 0.09. The level of significance is α=0.025 Select the correct answer below: A) There is sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.
B) There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.
C) There is sufficient evidence to conclude the proportion of work time linguists study a new language is more than 90%.
D) There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 90%.
Answer:
B) There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.
Step-by-step explanation:
Given that:
the null hypothesis is;
[tex]H_o : p =0.10[/tex]
the alternative hypothesis is:
[tex]H_a : p >0.10[/tex]
The p - value for the hypothesis is 0.09
The level of significance ∝ = 0.025
The Decision rule is that to reject the null hypothesis if the p-value is less than the level of significance ∝.
Conclusion: We fail to reject the null hypothesis because the p-value is greater than the level of significance , therefore:
There is NOT sufficient evidence to conclude the proportion of work time linguists study a new language is more than 10%.
Please help a girl out :)
Answer:
1/6
Step-by-step explanation:
I don't know how to use it using a number line sorry
-1/3 - (-1/2)
Two minuses give us a plus
so:
-1/3 + 1/2
make the denominators the same and what you multiply at the bottom you multiply at the top (check online about adding fractions if you don't understand)
so:
-2/6 + 3/6 = 1/6
Your answer should be an expanded polynomial in standard form. (-5a^3 - 2a^2) + (6a^3 + 9a^2 + 8a) = ?
Answer:
I pretty sure its 2 a^ 2 + 6 a^ 3 + 9 a^ 2 + 8 a
Step-by-step explanation:
I need some help on this...
Step-by-step explanation:
Since ray GI bisects ∠FGH, we know that the ray is in the middle of the angle, since it is a bisector. That means that both angles have the same value. ∠FGI is equal to 51º. Since we know that both of the angles are the same value, that makes m∠IGH also equal to 51º. To find the angle of m∠FGH, we add both angles together to get our answer: 102º.
Answers:
m∠IGH = 51º
m∠FGH = 102º
2x+3y=8 9x-3y = 14
solve by substitution
Answer: x=2 and y=4/3
Step-by-step explanation:
To solve by substitution method, you want to solve for one variable, and plug it into the other equation.
Let's solve for y in 2x+3y=8.
[tex]2x+3y=8[/tex] [subtract both sides by 2x]
[tex]3y=8-2x[/tex] [divide both sides by 3]
[tex]y=\frac{8-2x}{3}[/tex]
Now that we have y, we can plug it into the second equation.
[tex]9x-3y=14[/tex] [plug in y]
[tex]9x-3(\frac{8-2x}{3} )=14[/tex] [multiply 3 and y to cancel out the 3]
[tex]9x-(8-2x)=14[/tex] [distribute -1 to 8-2x]
[tex]9x-8+2x=14[/tex] [combine like terms]
[tex]11x-8=14[/tex] [add both sides by 8]
[tex]11x=22[/tex] [divide both sides by 11]
[tex]x=2[/tex]
Since we know the value of x, we can substitute it back into any of the 2 equations to find y.
[tex]2x+3y=8[/tex] [plug in x=2]
[tex]2(2)+3y=8[/tex] [multiply 2 and 2]
[tex]4+3y=8[/tex] [subtract both sides by 4]
[tex]3y=4[/tex] [divide both sides by 3]
[tex]y=\frac{4}{3}[/tex]
Our final answer is x=2 and y=4/3.
If m∠CDF = (3x + 14)°, m∠FDE = (5x – 2)°, and m∠CDE = (10x – 18)°, find x.
Answer:X=10
Step-by-step explanation:
At Sparky's Candy World, Miles spent a total of $13.75 on gummy bears and jelly beans. He bought 2.5 pounds of gummy bears at $3.40 per pound. If jelly beans cost $1.50 per pound, how many pounds of jelly beans did he buy?'
Answer:
3.5 lbs of jellybeans
Step-by-step explanation:
2.5 x 3.40
8.5
13.75 - 8.5 = 5. 25
5. 25 divided by 1.50 =
3.5
Answer:
3.5
Step-by-step explanation:
For income tax purposes, a man uses a method called
straight-line depreciation to show the loss in value of a copy
machine he recently purchased. A man assumes that he can
use the machine for 5 years. The following graph shows the
value of the machine over the years. What loss in value
occurred during the first year?
Answer: It lost $6.75 in the first year.
Step-by-step explanation: Using the graph, first determine the function of loss in value and years, by calculating:
Slope: m = [tex]\frac{y_{a}-y_{b}}{x_{a}-x_{b}}[/tex] and then, substitute in: [tex]y-y_{0}=m(x-x_{0})[/tex]
The equation is:
[tex]y-y_{0}=(\frac{y_{a}-y_{b}}{x_{a}-x_{b}} )(x-x_{0})[/tex]
Assuming y is value and x is years.
From the graph, in year 0, loss is 10 and in year 4, loss is 7, i.e.:
[tex]y-10=(\frac{7-10}{4-0} )(x-0)[/tex]
[tex]y=\frac{-3}{4}x+10[/tex]
For the first year, loss in value will be:
[tex]y=\frac{-3}{4}.1+10[/tex]
y = 6.75
During the first year, the loss in value is $6.75
Answer: 1,000
Step-by-step explanation:
(4+3)x12/6+3
Can I get help and show work. Thank you
Answer:
9.33
Step-by-step explanation:
12( 4 + 3 ) / 6 + 3
48 + 36 / 6 + 3
84 / 9
9.33
Combine like terms to create an equivalent expression −3.6−1.9t+1.2+5.1t
Answer:
-2.4+3.2t
Step-by-step explanation:
[tex]-3.6-1.9t+1.2+5.1t\\\\=(-3.6+1.2)+(-1.9+5.1)t\\\\=-2.4+3.2t[/tex]
Answer:
-2.4+3.2t
Step-by-step explanation:
Khan
Assume that u⋅v=4, ‖u‖=5, and ‖v‖=3. What is the value of 4u⋅(4u−7v)?
Step-by-step explanation:
It is given that,
[tex]u{\cdot}v=4\\\\|u|=5\\\\|v|=3[/tex]
We need to find the value of [tex]4u{\cdot} (4u-7v)[/tex]
Firstly, we should simplify [tex]4u{\cdot} (4u-7v)[/tex]
[tex]4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v[/tex]
Now using distributive property : x(y-z)=xy-yz
So,
[tex]4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v\\\\=16u{\cdot}u-28{u{\cdot} v}\\\\=16|u|^2-28(u{\cdot}v)\\\\=16\times 5^2-28\times 4\\\\=288[/tex]
So, the value of [tex]4u{\cdot} (4u-7v)[/tex] is 288.
determine the x2 test statistic the degrees of freedom, the p value, and test the hypothesis at the a
Answer:
The null hypothesis will not be rejected at 5% significance level.
Step-by-step explanation:
Consider a Chi-square test for goodness of fit.
The hypothesis can be defined as:
H₀: The observed frequencies are same as the expected frequencies.
Hₐ: The observed frequencies are not same as the expected frequencies.
The test statistic is given as follows:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]
The information provided is:
Observed values:
Half Pint: 36
XXX: 35
Dark Night: 9
TOTAL: 80
The expected proportions are:
Half Pint: 40%
XXX: 40%
Dark Night: 20%
Compute the expected values as follows:
E (Half Pint)
[tex]=\frac{40}{100}\times80=32[/tex]
E (XXX)
[tex]=\frac{40}{100}\times80=32[/tex]
E (Dark night)
[tex]=\frac{20}{100}\times80=16[/tex]
Compute the test statistic as follows:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}\frac{(O_{i}-E_{i})^{2}}{E_{i}}[/tex]
[tex]=\frac{(36-32)^{2}}{32}+\frac{(35-32)^{2}}{32}+\frac{(9-16)^{2}}{16}\\\\=3.844[/tex]
The test statistic value is, 5.382.
The degrees of freedom of the test is:
n - 1 = 3 - 1 = 2
The significance level is, α = 0.05.
Compute the p-value of the test as follows:
p-value = 0.1463
*Use a Chi-square table.
p-value = 0.1463 > α = 0.05.
So, the null hypothesis will not be rejected at 5% significance level.
How old is natalie if she was 7 years old six years ago?
Answer:
Natalie is 13 years old
Step-by-step explanation:
7+6=13
Answer:13
Step-by-step explanation: 7 + 6 = 13
The area of a rectangle is 56 inches. If the length is 7 inches less than 5 times the width, then find the dimensions of the rectangle
Convert the following fraction to a percentage (round to the nearest tenth if needed). 3/7
Answer:
[tex]\huge\boxed{42.9 \%}[/tex]
Step-by-step explanation:
=> [tex]\frac{3}{7}[/tex]
To make it a percentage, we need to multiply and divide it by 100
=> [tex]\frac{3}{7} * \frac{100}{100}[/tex]
=> [tex]\frac{300}{700}[/tex]
To make the denominator 100, we'll divide the numerator and denominator by 7
=> [tex]\frac{300/7}{700/7}[/tex]
=> [tex]\frac{42.9}{100}[/tex]
Percentage means out of hundred, so it becomes
=> 42.9 %
rewite 4/6:1/3 as a unit rate
Answer: 75
Step-by-step explanation:
y=-2x+4
( ,-2)
please help mee ?
Answer:
(-3, -2)
Step-by-step explanation:
y = -2x + 4; y = -2
plug in y
-2 = -2x + 4
subtract 4 from each side
-6 = 2x
divide by 2
x = -3
Help me with steps . Thanks
Answer:
135 square centimeters.
Step-by-step explanation:
The area of a triangle is given by the formula:
[tex]A=\frac{1}{2}bh[/tex]
Where b is the base length and h is the length of the vertical height.
From the triangle, we can see that the base is 18 and the vertical height is 15. Thus:
[tex]A=\frac{1}{2}(18)(15)[/tex]
Multiply:
[tex]A=(9)(15)\\A=135\text{ cm}^2[/tex]
The area of the triangle is 135 square centimeters.
Answer:
135 cm
Step-by-step explanation:
Formula for area of a triangle: [tex]\frac{1}{2}[/tex] × [tex]b[/tex] × [tex]h[/tex] [tex]\frac{1}{2}[/tex] × [tex]b[/tex] × [tex]h[/tex] = 18 × 15 = 270Plug in 270: [tex]\frac{1}{2}[/tex] × [tex]270[/tex] [tex]\frac{1}{2}[/tex] × [tex]270[/tex] = [tex]270[/tex] ÷ [tex]2[/tex] = [tex]135[/tex]I'll need the answers I'm pretty slow in the head
Answer:
30) 25x^2 +28x +16
31) (15/2)x +15
32) 18x^3 -21x^2 -52x -20
Step-by-step explanation:
For a shape with a cutout, the shaded area is the difference between the area of the enclosing shape and the area of the cutout. The applicable area formulas are ...
area of rectangle: A = bh
area of triangle: A = (1/2)bh
Here, the dimensions are given as binomials (2-term polynomials), so you have to multiply those to find the areas. The distributive property is helpful for that.
__
30) shaded area = (5x+8)(6x+2) -(5x)(x+6)
= (5x)(6x+2) +8(6x+2) -5x^2 -30x
= 30x^2 +10x +48x +16 -5x^2 -30x
shaded area = 25x^2 +28x +16
__
31) shaded area = (1/2)(x+6)(2x+5) -x(x+1)
= (1/2)(x(2x+5) +6(2x+5)) -x^2 -x
= (1/2)(2x^2 +5x +12x +30) -x^2 -x
= x^2 +(17/2)x +15 -x^2 -x
shaded area = (15/2)x +15
__
32) volume = lwh = (2x -5)(3x +2)(3x +2)
= (2x -5)(3x(3x +2) +2(3x +2))
= (2x -5)(9x^2 +6x +6x +4)
= (2x -5)(9x^2 +12x +4)
= 2x(9x^2 +12x +4) -5(9x^2 +12x +4)
= 18x^3 +24x^2 +8x -45x^2 -60x -20
volume = 18x^3 -21x^2 -52x -20
BRIANLIEST! Which property is shown by –3 • (6 + 5) = –3 ● 6 + –3 ● 5? A. Commutative Property of Multiplication B. Identity Property of Multiplication C. Associative Property of Multiplication D. Distributive Property
Answer:
Distributive Property
Step-by-step explanation:
I think it's because the bracket was expanded.
At a store 2 hats and 4 pairs of gloves together cost $75.60. The total cost of 3 hats and 8 pairs of socks is $83.48. If the price of a hat is 3 times as much as the price of gloves, what is the total cost of 5 hats and 10 pairs of socks? Include 2 decimal places in your answer. For example if the answer is $12 enter it as $12.00.
Answer:$132.70
Just believe it
Answer: 125.7
Step-by-step explanation:
Explain the level of uncertainties involve in concept of probability. The next generation of miniaturized wireless capsules with active locomotion will require two miniature electric motors to maneuver each capsule. Suppose 10 motors have been fabricated but that, in spite of tests performed on the individual motors, 2 will not operate satisfactorily, when placed into a capsule. To fabricate a new capsule, 2 motors will be randomly selected, find the probability that: (i) Both motors will operate satisfactorily in the capsule. (ii) One motor will operate satisfactorily and the other will not.
Answer:
a) the probability that Both motors will operate satisfactorily in the capsule 0.6222
b) the probability that One motor will operate satisfactorily and the other will not is 0.3556
Step-by-step explanation:
Given that;
total number of motors N = 10
number of motors will not operate satisfactory m = 2
number of motors randomly selected n = 2
let X be number of motors will that will not operate successfully
here, X≅Hyper geometric (x; N,n,m)
The probability mass function of x is;
P (X = x)= { m } {N - m }
{x } {n - x}
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ N }
{ n }
a)
the probability that both motors will operate satisfactorily in the capsule i.e no motor will not operate satisfactory
so
P(X= 0) = { 2 } { 10 - 2 }
{0 } { 2 - 0}
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ 10 }
{ 2 }
so
P (X = 0) = { 2 } { 8}
{ 0 } { 2 }
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ 10 }
{ 2 }
p(P= 0)=1×28 / 45 = 28/45 = 0.6222
Therefore the probability that Both motors will operate satisfactorily in the capsule 0.6222
b)
the probability that one motor will operate satisfactorily and the other will not.
P(X=1) = { 2 } { 10 - 2 }
{ 1 } { 2 - 1 }
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ 10 }
{ 2 }
so
P(X=1) = { 2 } { 8 }
{ 1 } { 1 }
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
{ 10 }
{ 2 }
P(X=1) = 2×8 / 45 = 16/45 = 0.3556
Therefore the probability that One motor will operate satisfactorily and the other will not is 0.3556