I need help on khan academy and I’m willing to pay half right when you start the work and when you finish all the work I’ll pay the other half. I am desperate if I don’t pass this class it’s bad for me. Comment your number,snap anything. If not can you please help me with this one problem please thank youu
Answers
Answer:
[tex]x\approx 50^\circ[/tex]
Step-by-step explanation:
[tex]c^2 = a^2 + b^2 - 2ab(cos(C))[/tex]
See the figure below to get the values as:
[tex]7^2=7^2+9^2-2\left(7\right)\left(9\right)cos\left(x\right)\\\\cos(x)=\frac{7^2+9^2-7^2}{2\cdot \:7\cdot \:9}\\\\x\approx 50^\circ[/tex]
There are multiple concepts to solve this problem. This is one of the concept used in high school. Other concept to solve this problem is to use the concept of isosceles triangle. An isosceles triangle is a triangle with (at least) two equal sides. The angles shared by the two equal sides are also equal. So that the sum of all the three angles will add up to 180.
[tex]x+x+80=180\\\\2x=100\\\\x=50^{\circ}[/tex]
Best Regards!
Related Questions
f(x) = 2x – 1 g(x) = 7x – 12 What is h(x) = f(x) + g(x)?
Answers
Answer:
h(x)=9x-13Solution,
[tex]h(x) = f(x) + g(x) \\ \: \: \: \: \: \: \: = 2x - 1 + 7x - 12 \\ \: \: \: \: \: \: = 2x + 7x - 1 - 12 \\ \: \: \: \: \: \: = 9x - 13[/tex]
hope this helps...
Good luck on your assignment..
Answer:
h(x)=9x-13
Step-by-step explanation:
We want to find out what h(x) is. We know what h(x) is equal to, which is
h(x)= f(x)+g(x)
We know that f(x)=2x-1 and g(x)=7x-12. Substitute the expressions in.
h(x)= (2x-1)+(7x-12)
Simplify by combining like terms. Add all the terms with a variable (x), then all the terms without a variable, or constants.
h(x)=(2x+7x)+(-1+-12)
Add 2x and 7x.
h(x)=(2+7)(x)+(-1+-12)
h(x)= 9x+(-1+-12)
Add -1 and -12.
h(x)= 9x+(-13)
h(x)=9x-13
x + 7 = 6x - 3
answer plssss
Answers
Answer:
x=2
Step-by-step explanation:
x + 7 = 6x - 3
Subtract x from each side
x+7-x = 6x-x
7 = 5x-3
Add 3 to each side
7+3 = 5x-3+3
10 =5x
divide by 5
10/5 = 5x/5
2 =x
Answer:
x= 2
hope it helps!
Step-by-step explanation:
x + 7 = 6x - 3
Bring all the variables to one side
So get 6x to the other side
x+7-6x = -3
-5x +7 = -3
Take 7 to the other side
-5x= -3 -7
-5x = -3 + -7
-5x = -10
x = -10/-5
minus n minus becomes plus
x= 10/5
= 2
A human resource manager for a large company takes a random sample of 60 employees from the company database. Based on the sample she calculates a 95% confidence interval for the mean time of employment for all employees to be 8.7 to 15.2 years. Which of the following will provide a more informative (i.e., narrower) confidence interval than the 95% confidence interval?
A. Using a 90% confidence level (instead of 95%)
B. Using a 99% confidence level (instead of 95%)
C. Using a sample size of 40 employees (instead of 60)
D. Using a sample size of 90 employees (instead of 60)
Answers
Answer:
A. Using a 90% confidence level (instead of 95%)
D. Using a sample size of 90 employees (instead of 60)
Step-by-step explanation:
The margin of error of a confidence interval is given by:
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The higher the margin of error, the less precise the confidence interval is.
We have:
A 95% confidence interval, with a sample of 60.
We want to make it more precise:
Two options, decrease z(decrease the confidence level), or increase n(increase the sample size).
So the correct options are:
A. Using a 90% confidence level (instead of 95%)
D. Using a sample size of 90 employees (instead of 60)
How many different triangles can you make if you are given
these three lengths for sides?
Answers
Answer:
Step-by-step explanation:
i think its 3
Answer:
0
Step-by-step explanation:
You cannot make any triangles with this angle
Which fraction is equivalent to 20%?
Answers
Answer:
1/5
Step-by-step explanation:
20*5 = 100, so 20 is 1/5
What is the greatest integer value of y for whic 5y - 20 < 0 ?
Answers
Answer:
3
Step-by-step explanation:
Step 1: Isolate y
5y < 20
y < 4
When we figure out the inequality, we see that y has to be less than 4. Therefore, the highest integer value will have to be 3.
what is 7/9 x 5 2/5 please!
Answers
Answer:
[tex]4\frac{1}{5}[/tex]
Step-by-step explanation:
=>[tex]\frac{7}{9} * 5 \frac{2}{5}[/tex]
=> [tex]\frac{7}{9} * \frac{27}{5}[/tex]
=> [tex]\frac{7*3}{5}[/tex]
=> [tex]\frac{21}{5}[/tex]
=> [tex]4\frac{1}{5}[/tex]
Answer:
[tex]4\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{7}{9} \times 5 \frac{2}{5}[/tex]
[tex]\frac{7}{9} \times \frac{27}{5}[/tex]
[tex]\frac{7 \times 27}{9 \times 5 }[/tex]
[tex]\frac{189}{45}[/tex]
[tex]\frac{21}{5}[/tex]
[tex]=4\frac{1}{5}[/tex]
Keith Rollag (2007) noticed that coworkers evaluate and treat "new" employees differently from other staff members. He was interested in how long a new employee is considered "new" in an organization. He surveyed four organizations ranging in size from 34 to 89 employees. He found that the "new" employee status was mostly reserved for the 30% of employees in the organization with the lowest tenure.
A) In this study, what was the real range of employees hired by each organization surveyed?
B) What was the cumulative percent of "new" employees with the lowest tenure?
Answers
Answer:
a) Real range of employees hired by each organization surveyed = 56
b) The cumulative percent of "new" employees with the lowest tenure = 30%
Step-by-step explanation:
a) Note: To get the real range of employees hired by each organization, you would do a head count from 34 to 89 employees. This means that this can be done mathematically by finding the difference between 34 and 89 and add the 1 to ensure that "34" is included.
Real range of employees hired by each organization surveyed = (89 - 34) + 1
Real range of employees hired by each organization surveyed = 56
b) It is clearly stated in the question that the "new" employee status was mostly reserved for the 30% of employees in the organization with the lowest tenure.
Therefore, the cumulative percent of "new" employees with the lowest tenure = 30%
Please answer this correctly
Answers
Answer:
101-120=4
Step-by-step explanation:
All that you need to do is count how many data points fall into this category. In this case, there are four data points that fall into the category of 101-120 pushups
111111105113Therefore, the answer to the blank is 4. If possible, please mark brainliest.
Answer:
There are 4 numbers between 101 and 120.
Step-by-step explanation:
101-120: 105, 111, 111, 113 (4 numbers)
a number minus 8 is no more than -3, write as an inequality
Answers
Answer:
11
Step-by-step explanation:
A line has a slope of -3/2 and has a y-intercept of 3. What is the x-intercept of the line?
Answers
Answer:
x = 2
Step-by-step explanation:
the equation of the line can be found using the slope intercept form
y = mx +b
y= -3/2 x + 3
x intercept is found by setting y=0 bc that will give you the x-value at which the line crosses the x -axis so
0 = -3/2x+3 (subtract the 3 on both sides) would cancel out the + 3 and would
-3 = -3/2 x (divide by -3/2 on both sides to cancel out the -3/2)
x = 2
According to a Harris Poll in 2009, 72% of those who drive and own cell phones say they use them to talk while they are driving. If you wish to conduct a survey in your city to determine what percent of the drivers with cell phones use them to talk while driving, how large a sample should be if you want your estimate to be within 0.02 with 95% confidence.
Answers
Answer:
We need a sample of at least 1937.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
For this problem, we have that:
[tex]\pi = 0.72[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample should be if you want your estimate to be within 0.02 with 95% confidence.
We need a sample of at least n.
n is found when M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.72*0.28}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.72*0.28}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.72*0.28}}{0.02}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.72*0.28}}{0.02})^{2}[/tex]
[tex]n = 1936.16[/tex]
Rounding up to the nearest number.
We need a sample of at least 1937.
solve for x
2x/3 + 2 = 16
Answers
Answer:
2x/3 + 2= 16
=21
Step-by-step explanation:
Standard form:
2
3
x − 14 = 0
Factorization:
2
3 (x − 21) = 0
Solutions:
x = 42
2
= 21
PLEASE HELP ME WITH THIS, HELP NEEDED ASAP
Answers
Answer:
x = 16.5
Step-by-step-explanation:
The height of the larger triangle is 11, and the height of smaller triangle is 2. Which means that the larger triangle height is 5.5 times greater than the smaller triangle's height.
If the base of the smaller triangle is 3, that means that base of the whole/larger triangle is 16.5 because 3 * 5.5 = 16.5
Write an expression without exponent that is equivalent to 2 to 3rd power nd 4 to the 3rd power
Answers
Answer:
2 to the 3rd power,
2*2*2
4 to the 3rd power,
4*4*4
Step-by-step explanation:
The "3rd power" means how many times the number given to it would be multiplied. Aka, 2 to the 4th power would mean 2 times 2 times 2 times 2, (2 four times).
4*4*4
Use the given function f(x)=|x| to graph g(x) =|x+2|-4
Answers
Answer:
see the attachment for a graph
Step-by-step explanation:
The vertex of f(x) is (0, 0). The transformation g(x) = f(x -h) +k moves the vertex to (h, k). That is, the graph is translated right by h units, and up by k units.
Your transformation has h = -2, and k = -4. That is, the original graph is translated left 2 units and down 4 units. The result is the blue curve in the attachment.
Express the following ratio in it’s simplest form
5:20
Answers
Answer:
1:4
Step-by-step explanation:
Answer:
1 : 4
Step-by-step explanation:
5:20
Divide each side by 5
5/5 : 20/5
1 : 4
Allie Maxudywishes to retire 25 years. She has decided that she should be able to invest $5000 per year in her retirement fund. If she makes the payments in quarterly installments at the beginning of the each year, and earn an annual percentage rate of 8% on her money how much she will have at the time of her retirement?
Answers
Answer:
$394,772.11
Step-by-step explanation:
This requires using compound interest as follows:
Principal = $5,000
Time = 25 years
Interest rate per annum = 8%
1st year: principal = 5000
Interest capitalized (5000*0.08) = 400
Amount (5000 + 400) = $5400
2nd year: principal = 5400 + 5000 = 10,400
Interest capitalized (10,400*0.08) = 832
Amount (10,400 + 832) = $11,232
3rd year: principal = 11,232+5000 = $16,232
Interest capitalized (16,232*0.08) = 1,298.56
Amount (16,232+1,298.56) = $17,530.56
4th year: principal = 17,530.56+5000 = $22,530.56
Interest capitalized (22,530.56*0.08) = 1,802.45
Amount (22,530.56+1,802.45) = $24,333.01
5th year: principal = 24,333.01+5000 = $29,333.01
Interest capitalized (29,333.01 * 0.08) = 2,346.64
Amount (29,333.01 + 2,346.64) = $31,679.65
6th year: principal = 31,679.65 + 5000 = $36,679.65
Interest capitalized (36,679.65 * 0.08) = 2,934.37
Amount (36,679.65 + 2,934.37) = $39,614.02
7th year: principal = 39,614.02 + 5000 = $44,614.02
Interest capitalized (44,614.02 * 0.08) = 3,569.12
Amount (44,614.02 + 3,569.12) = $48,183.14
8th year: principal = 48,183.14 + 5000 = $53,183.14
Interest capitalized (53,183.14 * 0.08) = 4,254.65
Amount (53,183.14 + 4,254.65) = $57,437.79
9th year: principal = 57,437.79 + 5000 = $62,437.79
Interest capitalized (62,437.79 * 0.08) = 4,995.02
Amount (62,437.79 + 4,995.02) = $67,432.81
10th year: principal = 67,432.81 + 5000 = $72,432.81
Interest capitalized (72,432.81 * 0.08) = 5,794.63
Amount (72,432.81 + 5,794.63) = $78,227.44
11th year: principal = 78,227.44 + 5000 = $83,227.44
Interest capitalized (83,227.44 * 0.08) = 6,658.20
Amount (83,227.44 + 6,658.20) = $89,885.64
12th year: principal = 89,885.64 + 5000 = $94,885.64
Interest capitalized (94,885.64 * 0.08) = 7,590.85
Amount (94,885.64 + 7,590.85) = $102,476.49
13th year: principal = 102,476.49 + 5000 = $107,476.49
Interest capitalized (107,476.49 * 0.08) = 8,598.12
Amount (107,476.49 + 8,598.12) = $116,074.61
14th year: principal = 116,074.61 + 5000 = $121,074.61
Interest capitalized (121,074.61 * 0.08) = 9,685.97
Amount (121,074.61 + 9,685.97) = $130,760.58
15th year: principal = 130,760.58 + 5000 = $135,760.58
Interest capitalized (135,760.58 * 0.08) = 10,860.85
Amount (135,760.58 + 10,860.85) = $146,621.43
16th year: principal = 146,621.43 + 5000 = $151,621.43
Interest capitalized (151,621.43 * 0.08) = 12,129.71
Amount (151,621.43 + 12,129.71) = $163,751.14
17th year: principal = 163,751.14 + 5000 = $168,751.14
Interest capitalized (168,751.14 * 0.08) = 13,500.09
Amount (168,751.14 + 13,500.09) = $182,251.23
18th year: principal = 182,251.23 + 5000 = $187,251.23
Interest capitalized (187,251.23 * 0.08) = 14,980.10
Amount (187,251.23 + 14,980.10) = $202,231.33
19th year: principal = 202,231.33 + 5000 = $207,231.33
Interest capitalized (207,231.33 * 0.08) = 16,578.51
Amount (207,231.33 + 16,578.51) = $223,809.84
20th year: principal = 223,809.84 + 5000 = $228,809.84
Interest capitalized (228,809.84 * 0.08) = 18,304.79
Amount (228,809.84 + 18,304.79) = $247,114.63
21st year: principal = 247,114.63 + 5000 = $252,114.63
Interest capitalized (252,114.63 * 0.08) = 20,169.17
Amount (252,114.63 + 20,169.17) = $272,283.8
22nd year: principal = 272,283.8 + 5000 = $277,283.8
Interest capitalized (277,283.8 * 0.08) = 22,182.70
Amount (277,283.8 + 22,182.70) = $299,466.5
23rd year: principal = 299,466.5 + 5000 = $304,466.5
Interest capitalized (304,466.5 * 0.08) = 24,357.32
Amount (304,466.5 + 24,357.32) = $328,823.82
24th year: principal = 328,823.82 + 5000 = $333,823.82
Interest capitalized (333,823.82 * 0.08) = 26,705.91
Amount (333,823.82 + 26,705.91) = $360,529.73
25th year: principal = 360,529.73 + 5000 = $365,529.73
Interest capitalized (365,529.73 * 0.08) = 29,242.38
Amount (365,529.73 + 29,242.38) = $394,772.11
HELP ME Answer it from the forst one to the last one with the rght answer please.This is Urgent so do it Faster if u now the answers
Answers
Step-by-step explanation:
2) 63
3) 7000
4) 10
These are some answers
In triangle ABC, the measure of angle A is half the measure of angle B, and the measure of angle C is 50° less than the measure of angle B. Find the measure of the smallest angle. (Recall that the sum of the measures of the angles in a triangle is 180°.)
Answers
Answer:
42º
Step-by-step explanation:
You can start by setting up the equations that are given in the stem of the problem: a=.5b, c=b-50, a+b+c=180. Then plug in the values of b in relation to the other values into the equation a+b+c=180. This will give you (.5b)+b+(b-50)=180. By expanding this and combining like terms, we will get 2.5b=230. By dividing each side by 2.5, we get b=92. Then, referencing the first equations, a=.5(92)=46, and c=92-50=42. The smallest of all of these is c, 42.
Which equation describes a rational function with x-intercepts at –4 and 2, a vertical asymptote at x = 1 and x = –1, and a horizontal asymptote at y = –3?
Answers
Answer:
d on edge
Step-by-step explanation:
-3(x+4)(x-2)/x^2-1`
The equation of the rational function is: [tex]f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}[/tex]
The x-intercepts of the rational function are given as: -4 and 2.
This means that, the zeroes of the function are (x + 4) and (x -2)
Multiply the zeroes of the function
[tex]f(x) = (x + 4)(x -2)[/tex]
The vertical asymptotes of the rational function are given as: 1 and -1.
This means that, the denominator is the product of (x + 1) and (x -1)
So, we have:
[tex]f(x) = \frac{(x + 4)(x -2)}{(x + 1)(x-1)}[/tex]
Express the denominator as the difference of two squares
[tex]f(x) = \frac{(x + 4)(x -2)}{x^2-1}[/tex]
Lastly, the horizontal asymptote is given as y = -3.
So, the actual function is:
[tex]f(x) = y \times \frac{(x + 4)(x -2)}{x^2-1}[/tex]
Substitute -3 for x
[tex]f(x) = -3 \times \frac{(x + 4)(x -2)}{x^2-1}[/tex]
This gives
[tex]f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}[/tex]
Hence, the equation of the rational function is: [tex]f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}[/tex]
Read more about rational functions at:
https://brainly.com/question/1851758
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answers
Answer:
plane
Step-by-step explanation:
Answer:
D. Plane
Step-by-step explanation:
A plane extends in two dimensions. This figure is a plane. It is not a point, a segment or a ray.
11. cos theta = 3/4, in quadrant 1
Answers
Answer:
Step-by-step explanation:sin
(
t
h
e
t
a
)
=
√
7
4
cos
(
t
h
e
t
a
)
=
3
4
tan
(
t
h
e
t
a
)
=
√
7
3
cot
(
t
h
e
t
a
)
=
3
√
7
7
sec
(
t
h
e
t
a
)
=
4
3
csc
(
t
h
e
t
a
)
=
4
√
7
7
dakota received a bonus check for $2,500 and is going to deposit the money into a bank account that receives 5.5% compounded annually. What is dakotas account balance after five years?
Answers
Answer: $3267.40
Step-by-step explanation:
A = P (1+r/n)^nt
A= 2500 (1+0.055)^nt
A= 2500 x 1.30696
A = 3267.40
How many solutions does 6-3x=4-x-3-2x have?
Answers
Answer:
no solutions
Step-by-step explanation:
6-3x=4-x-3-2x
Combine like terms
6-3x =1 -3x
Add 3x to each side
6 -3x+3x = 1-3x+3x
6 =1
This is not true so there are no solutions
Answer:
No solutions.
Step-by-step explanation:
6 - 3x = 4 - x - 3 - 2x
Add or subtract like terms if possible.
6 - 3x = -3x + 1
Add -1 and 3x on both sides.
6 - 1 = -3x + 3x
5 = 0
There are no solutions.
Let Aequals [Start 2 By 2 Matrix 1st Row 1st Column 3 2nd Column 2 2nd Row 1st Column negative 1 2nd Column 2 EndMatrix ]and Bequals [Start 2 By 2 Matrix 1st Row 1st Column 2 2nd Column 6 2nd Row 1st Column negative 3 2nd Column k EndMatrix ]. What value(s) of k, if any, will make ABequals BA?
Answers
Answer:
No value of k will make AB=BA
Step-by-step explanation:
[tex]A=\left(\begin{array}{ccc}3&2\\-1&2\end{array}\right), $ $B=\left(\begin{array}{ccc}2&6\\-3&k\end{array}\right) \\\\\\AB=\left(\begin{array}{ccc}3&2\\-1&2\end{array}\right)\left(\begin{array}{ccc}2&6\\-3&k\end{array}\right)=\left(\begin{array}{ccc}3*2+2*-3&3*6+2*k\\-1*2+2*-3&-1*6+2k\end{array}\right)=\left(\begin{array}{ccc}0&18+2k\\-8&-6+2k\end{array}\right)[/tex]
[tex]BA=\left(\begin{array}{ccc}2&6\\-3&k\end{array}\right)\left(\begin{array}{ccc}3&2\\-1&2\end{array}\right)=\left(\begin{array}{ccc}0&16\\-6&-6+2k\end{array}\right)[/tex]
We can see that [tex]AB \neq BA[/tex]. Therefore, there is no value of k that will make it equal. In general, matrix multiplication is not commutative.
Hee lllp!!! Now 70 points
Answers
The right option is A)
As the property of parallelogram states that diagonals of a parallelogram bisect each other.
That's why AE=CE and BE=DE.
HOPE IT HELPS!!!!
PLEASE MARK BRAINLIEST!!!!!
Answer:
[tex]\huge\boxed{Option \ 1}[/tex]
Step-by-step explanation:
Since, AE = CE and BE = DE , then E is the midpoint of AC and BD. Causius can use that to show that AC and BD bisect each other which means that they both are the diagonals of a parallelogram bisecting each other. Hence, It will be proved that ABCD is a || gm.
Hope this helped!
~AnonymousHelper1807The probability that a house in an urban area will be burglarized is 6%. If 10 houses are randomly selected, what is the probability that none of the houses will be burglarized?
Answers
Answer:
[tex](\dfrac{94}{100})^{10} \ or\ \approx 0.54[/tex]
Step-by-step explanation:
Given :
Probability that a house in an urban area will be burglarized,
[tex]p =6\%=\dfrac{6}{100}[/tex]
To find:
Probability that none of the houses randomly selected from 10 houses will be burglarized = ?
[tex]P(r=0) =?[/tex]
Solution:
This question is related to binomial distribution where:
[tex]p =\dfrac{6}{100}[/tex]
[tex]\Rightarrow[/tex] Probability that a house in an urban area will not be burglarized,
[tex]q =1-6\%=94\%=\dfrac{94}{100}[/tex]
Formula is:
[tex]P(r=x)=_nC_xp^xq^{n-x}[/tex]
Where n is the total number of elements in sample space and
x is the number selected from the sample space.
Here, x = 10 and
x = 0
[tex]\therefore P(r=0)=_nC_0p^0q^{10-0}\\\Rightarrow 1 \times (\dfrac{6}{100})^0\times (\dfrac{94}{100})^{10}\\\Rightarrow 1\times (\dfrac{94}{100})^{10}\\\Rightarrow (\dfrac{94}{100})^{10}\\\\\Rightarrow (0.94)^{10}\\\Rightarrow \approx 0.54[/tex]
A film distribution manager calculates that 4% of the films released are flops. If the manager is correct, what is the probability that the proportion of flops in a sample of 667 released films would be greater than 5%
Answers
Answer:
9.34%
Step-by-step explanation:
p = 4%, or 0.04
n = Sample size = 667
u = Expected value = n * p = 667 * 0.04 = 26.68
SD = Standard deviation = [tex]\sqrt{np(1-p)} =\sqrt{667*0.04*(1-0.04)}[/tex] = 5.06
Now, the question is if the manager is correct, what is the probability that the proportion of flops in a sample of 667 released films would be greater than 5%?
This statement implies that the p-vlaue of Z when X = 5% * 667 = 33.35
Since,
Z = (X - u) / SD
We have;
Z = (33.35 - 26.68) / 5.06
Z = 1.32
From the Z-table, the p-value of 1.32 is 0.9066
1 - 0.9066 = 0.0934, or 9.34%
Therefore, the probability that the proportion of flops in a sample of 667 released films would be greater than 5% is 9.34%.
John took all his money from his savings account. He spent $48 on a radio and 3/8 of what was left on presents for his friends. Of the money remaining, John put 2/3 into a checking account and the last remaining $100 was left to charity. How much money did John orginally have in his savings account?
Answers
Answer:
Step-by-step explanation:
Let a = original amt in the savings account
"He spent $48 on a radio and 3/8 of what was left on presents for his friends."
Therefore he kept 5/8 of what was left
5/8(a - 48)
5/8(a - 30) left
:
John then put 2/3 of his remaining money into a checking account and donated the $100 that was left to charity.
a = 2/3(5/8a - 30) + 100
a = 5/12a - 20 + 100
a = 5/12a + 80
a - 5/12a = 80
7/12a = 80
a = $137.17 originally in his saving acct