Answer:
$200
Step-by-step explanation:
money he has now is 150% of what he had in the beginning
300 = 1.5x
x = 200
if he had $200 in the beginning, you add half of that to itself (200 + 100 = 300)
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
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
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.
A bag has 2 yellow, 7 red, and 1 green marble. What is the probability of picking a red marble, replacing it, and then picking another red marble?
Answer:
Total # of marbles: 10
# of red marbles: 7
Probability of choosing a red marble out of 10 marbles: 7/10
Then in the second round, you replace that marble so you still have a total of 10 marbles and 7 of them will still be red: 7/10
Multiply...
7/10 x 7/10 = 49/100
PROBABILITY: 49/100 (or 49%)
Hoped I helped
Find the midpoint of the segment with the given endpoints.
(-7,10) and (6.-10)
Answer:
c
Step-by-step explanation:
cc
If m∠CDF = (3x + 14)°, m∠FDE = (5x – 2)°, and m∠CDE = (10x – 18)°, find x.
Answer:X=10
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:
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!.
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
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:
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
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:
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:
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%.
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
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:
Which statement is true about a unit cube?
Answer:
Quadrant 2 I think.
Step-by-step explanation:
You stet on the x axis wich is positive and you second number on the y axis is negitive
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 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
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.
Write the following as an equation:
"2 times a number, x, is equal to 6 less than x"
Answer:
-6
Step-by-step explanation:
2x = x-6
subtract x from both sides
x = -6
Answer:
2x=x-6
Step-by-step explanation:
2 times a number -> 2x
6 less than x -> x-6
Our equation would be:
2x=x-6
Subtract x from both sides.
2x-x=x-x-6
Combine like terms
x=-6
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 %
(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
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.
Please help me out! :)
Answer:
Add −11 and 5.
−6
Move 5 spaces to the right starting from -11 and you will end up at -6! (●'◡'●)
Answer:
-6
Step-by-step explanation:
So we want to find the value of:
[tex](-11)+5[/tex]
Simply add:
[tex](-11)+5=-6[/tex]
Further notes:
Again, to use the number line, place the first point at -11. Since we are adding, we move to the right.
So, starting at -11, move 5 spaces to the right. You should end up at -6, confirming our previous answer.
The area of a trapezoid is
230 cm². The height is
20 cm and the length of one of the parallel sides is
8 cm. Find the length of the second parallel side. Express your answer as a simplified fraction or a decimal rounded to two places.
Answer:
The answer is 15cmStep-by-step explanation:
Let b be the length of the second parallel side
Area of a trapezium is given by
[tex]A = \frac{1}{2} (a + b)h[/tex]
where
h is the height
a and b are the parallel sides
From the question
Area = 230 cm²
height = 20cm
one of parallel side / a = 8 cm
Substitute the values into the above formula and solve for b
That's
[tex]230 = \frac{1}{2} ( 8 + b) 20[/tex]
Reduce the fraction with 2
That's
[tex]230 = (8 + b) \times 10[/tex]
Expand the terms
That's
[tex]230 = 80 + 10b[/tex]
[tex]10b = 230 - 80 \\ 10b = 150[/tex]
Divide both sides by 10
We have the final answer as
b = 15cmHope this helps you
Point K is on line segment JL. Given KL = 2x – 2, JL = 4x + 9, and
JK = 5x + 2, determine the numerical length of JL. i
Answer:
JL = 21
Step-by-step explanation:
Given that K is on line segment JL, therefore:
KL + JK = JL (according to segment addition postulate)
KL = 2x - 2
JK = 5x + 2
JL = 4x + 9
Thus:
[tex] (2x - 2) + (5x + 2) = (4x + 9) [/tex]
Solve for x
[tex] 2x - 2 + 5x + 2 = 4x + 9 [/tex]
[tex] 2x +5x - 2 + 2 = 4x + 9 [/tex]
[tex] 7x = 4x + 9 [/tex]
Subtract 4x from both sides
[tex] 7x - 4x = 4x + 9 - 4x [/tex]
[tex] 3x = 9 [/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{9}{3} [/tex]
[tex] x = 3 [/tex]
Find the numerical length of JL
[tex] JL = 4x + 9 [/tex]
Plug in the value of x
[tex] JL = 4(3) + 9 = 12 + 9 = 21 [/tex]
Michael will rent a car for the weekend . He can choose one of two plans. The first plan has no initial fee but costs $0.80 per mile driven . The second plan has an initial fee of $75 and costs an additional $0.60 per mile driven How miles would Michael need to for the two plans to cost the same ?
Answer:
375 miles
Step-by-step explanation:
Set it up as an equation where m=miles
$75 +.6m=.80m
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
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