Answer:
Social Security: $9.63
Step-by-step explanation:
Simplify the expression:
9g - 9g
Answer:
0
Step-by-step explanation:
Need pleas ok need today
Answer:
90
Step-by-step explanation:
You need to simply add all the given numbers together and enter the missing number that'll make the total 0. So:
-75 + (-25) = -100
-100 + 10 = -90
-90 + 90 = 0
Thus, adding a 90 in the empty box will make it 0.
Answer:
90
Step-by-step explanation:
This is the answer because:
1) -75 + (-25) = -100
2) -100 + 10 = -90
3) -90 + 90 = 0
Therefore, the answer is 90 because whenever a negative number is added with the same poitive number, it beomes a 0.
Hope this helps! :D
With domestic sources of building supplies running low several years ago, roughly 60,000 homes were built with imported Chinese drywall. According to an article federal investigators identified a strong association between chemicals in the drywall and electrical problems, and there is also strong evidence of respiratory difficulties due to the emission of hydrogen sulfide gas. An extensive examination of 58 homes found that 46 had such problems. Suppose these 58 were randomly sampled from the population of all homes having Chinese drywall.
(a) Does the data provide strong evidence for concluding that more than 50% of all homes with Chinese drywall have electrical/environmental problems? Carry out a test of hypotheses using a = 0.01.
Compute the test statistic value. Round your answer to two decimal places.
(b) Calculate a lower confidence bound using a confidence level of 99% for the percentage of all such homes that have electrical/environmental problems. (Round your answer to one decimal place.)
(c) If it is actually the case that 80% of all such homes have problems, how likely is it that the test of (a) would not conclude that more than 50% do? (Round your answer to four decimal places.)
Answer:
Step-by-step explanation:
Null hypothesis:
[tex]H_o : \mu = 0.50[/tex]
Alternative hypothesis:
[tex]H_a : \mu > 0.50[/tex]
The sample proportion [tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{46}{58}[/tex]
[tex]\hat p = 0.7931[/tex]
The test statistics:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n} } }[/tex]
[tex]Z = \dfrac{0.7931 - 0.50}{\sqrt{\dfrac{0.5(1-0.5)}{58} } }[/tex]
[tex]Z = \dfrac{0.2931}{\sqrt{\dfrac{0.25}{58} } }[/tex]
[tex]Z = \dfrac{0.2931}{0.06565321643}[/tex]
Z = 4.46 (to two decimal places)
At 99% C.I
Level of significance is:
∝ = 1 - C.I
∝ = 1 - 0.99
∝ = 0.01
Thus, the lower confidence bound can be computed as:
[tex]= \hat p - Z_{\alpha} \sqrt{\dfrac{\hat p ( 1- \hat p )}{n} }[/tex]
Critical value of [tex]Z_{0.01/2} = 2.33[/tex]
[tex]= 0.7931 - 2.33 \sqrt{\dfrac{0.7931 (1-0.7931)}{58}}[/tex]
[tex]= 0.7931 - 2.33 (0.05319)[/tex]
= 0.7931 - 0.1239327
= 0.6691673
[tex]\simeq[/tex] 0.7 (to one decimal place)
(c)
Given:
[tex]P_o = 0.50[/tex] and [tex]\hat p = 0.80[/tex]
Then:
[tex]\beta (0.8) = \phi \Big [ \dfrac{p_o-\hat p + Z_{\alpha} \sqrt{\dfrac{p_o(1-p_o)}{n}}}{\sqrt{\dfrac{\hat p(1-\hat p)}{n} } } \Big][/tex]
[tex]\beta (0.8) = \phi \Big [ \dfrac{0.5-0.8 + 2.33 \sqrt{\dfrac{0.5(1-0.5)}{58}}}{\sqrt{\dfrac{0.8(1-0.8)}{58} }}\Big][/tex]
[tex]= \phi \Big [ \dfrac{-0.3+ 2.33 (0.06565)}{\sqrt{0.0027586 }} \Big][/tex]
[tex]= \phi \Big [ \dfrac{-0.3+ 0.1529645}{0.052522} \Big][/tex]
[tex]= \phi \Big [ \dfrac{-0.1470355}{0.052522 } \Big][/tex]
[tex]= \phi \Big [-2.799\Big][/tex]
= 0.0026 ( to four decimal place).
Complete the congruence statement by naming the corresponding angle or side.
50 points
Answer:
Step-by-step explanation:
B is correct..............
Step-by-step explanation:
Triangles HIJ and HCE are congruent
The letter I is the 2nd letter in HIJ. Similarly, the letter C is the 2nd letter in HCE.
Hence Angle I = Angle C (B).
solve for x! show your work please :)
Answer:
x= 12
Step-by-step explanation:
16=24
2x-6= 18
2x= 18+6= 24
2x= 24
x= 24/2= 12
hope it helps!
Answer:
x=12
Step-by-step explanation:
Line AC and line PR are congruent.
2x-6=18
2x=24
x=12
To go on a summer trip, Ravi borrows $800. He makes no payments until the end of 3 years, when he pays off the entire loan. The lender charges simple interest at an annual rate of 5%. Answer the following questions. If necessary, refer to the list of financial formulas. (a) How much total interest will Ravi have to pay? Х 5 ? s) (b) What will the total repayment amount be (including interest)?
Answer:
srry but search 12 z6xs
Step-by-step explanation:
(a) The total interest that Ravi will have to pay is $120. (b) The total repayment amount will be $920.
a) The interest rate is 5% per year, so Ravi will pay 5% * 800 = $40 per year in interest.
Since he borrowed the money for 3 years, he will pay a total of 3 * 40 = $120 in interest.
b) The total repayment amount will be the principal amount of $800 plus the interest of $120, for a total of 800 + 120 = $920.
Simple interest formula: I = P * r * t
Where:
I is the interest
P is the principal amount
r is the interest rate
t is the time in years
Interest per year: 5% * 800 = $40
Total interest: 3 * 40 = $120
Total repayment amount: 800 + 120 = $920
To learn more about interest here:
https://brainly.com/question/31135293
#SPJ2
The sum of two numbers is 48. Their difference is −4. Find the numbers.
Answer:
22 and 26
Step-by-step explanation:
what is the value of tan(arccos(-sqrt2/2)
Answer:
i think is -1 because the value is -1
Answer:
D. -1
Step-by-step explanation:
ed2021
Write the equation in POINT-SLOPE FORM of the line that passes throught (5,9) and has a slope of -7.
Answer:
The equation of line with slope -7 passing through (5,9) in point-slope form is:
[tex]y-9 = -7(x-5)[/tex]
Step-by-step explanation:
Given
Slope of line = m = -7
Point = (5,9)
The point slope form of equation is obtained from a point and slope. It is given by the equation:
[tex]y-y_1 = m(x-x_1)[/tex]
We know that (x1,y1) = (5,9)
Putting the values we get
[tex]y-9 = -7(x-5)[/tex]
Hence,
The equation of line with slope -7 passing through (5,9) in point-slope form is:
[tex]y-9 = -7(x-5)[/tex]
A varsity boy's basketball team has ratio of seniors to juniors that is 7:4. The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors?
Answer:
Girl's basketball team has more seniors
Step-by-step explanation:
A varsity boy's basketball team has ratio of seniors to juniors that is 7:4.
Let there are 7x seniors and 4x juniors in boy's basketball team.
ATQ,
7x+4x = 12
11x = 12
x = 12/11
Seniors = [tex]7\times \dfrac{12}{11}=7.63[/tex]
The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2.
Let there are 7x seniors and 4x juniors in girl's basketball team.
3x+2x = 12
5x = 12
x = 12/5
Seniors = [tex]7\times \dfrac{12}{5}=16.8[/tex]
As we can see that girl's basketball team has more seniors as compared to the boy's team.
6. An ice cream costs 15 more than a cold drink. If the cost of
buying 5 ice creams is 125, find the price of a cold drink.
Answer:
The price of a cold drink is 10 dollars.
Step-by-step explanation:
We can use proportion.
[tex] \frac{5 \: ice \: creams}{125 \: dollars} = \frac{1 \: ice \: cream}{x} \\ \\ \frac{5x}{5} = \frac{125}{5} \\ \\ x = 25[/tex]
So we found out that one ice-cream costs $25.00.
The statement said, "An ice cream costs 15 more than a cold drink"
In other words, A cold drink costs 15 dollars less than an ice cream.
So we would subtract.
[tex]25 - 15 = 10[/tex]
So a cold drink costs $10.00.
A bag contains 120 marbles. Some are red and the rest are black. There are 17 red marbles for every 3 black marbles. How many red marbles are in the bag?
Given :
A bag contains 120 marbles. Some are red and the rest are black. There are 17 red marbles for every 3 black marbles.
To Find :
How many red marbles are in the bag.
Solution :
Let, number of red and black marbles are x and y respectively.
So, x + y = 120 ....1)
Now, it is given that there are 17 red marbles for every 3 black marbles.
So, 3x = 17y ....2)
Putting value of x from equation 2) to equation 1), we get :
[tex]\dfrac{17y}{3}+y = 120\\\\\dfrac{20y}{3}=120\\\\y = 18\\\\x = 120 - 18\\\\x = 102[/tex]
Therefore, the number of red and black marbles are 102 and 18 respectively.
1) A school has 1600 students and they are going to vote as to whether they will completely convert the school completely off fossil fuels. How many students would you have to poll to be 95% confident of the outcome within /- 2% of the vote
Answer:
Standard deviation of the students = 0.408
The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote
= 0.408 X 1600
= 652.8
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 1600
95% confidence interval of the margin error is determined by
[tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }[/tex]
Level of significance = 0.05
Z₀.₀₅ = 1.96
Given Margin of error = 2% = 0.02
[tex]M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }[/tex]
[tex]0.02 = \frac{1.96 X S.D}{\sqrt{1600} }[/tex]
0.02 X √1600 = 1.96 X S.D
[tex]S.D = \frac{0.02X\sqrt{1600} }{1.96} = 0.408[/tex]
Standard deviation of the students = 0.408
The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote
= 0.408 X 1600
= 652.8
Using the z-distribution, it is found that you would have to poll 2401 students.
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]\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 z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
There is no prior estimate, hence [tex]\pi = 0.5[/tex] is used.
The sample size is n for which M = 0.02, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96(0.5)[/tex]
[tex]\sqrt{n} = \left(\frac{1.96(0.5)}{0.02}\right)[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.02}\right)^2[/tex]
[tex]n = 2401[/tex]
You would have to poll 2401 students.
To learn more about the z-distribution, you can take a look at https://brainly.com/question/12517818
Considering only the factors of the form x - k, what is the relationship between the k values and the zeros?
Given:
Considering only the factors of the form x - k.
To find:
The relationship between the k values and the zeros?
Solution:
We know that, if (x-c) is a factor of a function f(x), then x=c is a zero of function f(x), i.e., f(c)=0, where, c is a constant.
It is given that, only the factors of the form x - k. Then by using the above theorem we can say that, k values are the zeros of the function.
The relationship between the k values and the zeros is defined as
k values = Zeros of the function
Therefore, the k values are to zeros of the function.
The value of y is directly proportional to the value of x. If y = 35 when & = 140, what is the value of y when 3 = 70
answer choices -
17,5
280
70
35
If one term of a proportion is not known, what can be used to find the value of that term?
A: Substitution
B: Graphing
C: Cross-multiplication
D: Adding all the numbers together
Please select the best answer from the choices provided.
Answer:
cross multification is correct answer
How do you do this? is geometry please help this define my grade
Answer:
x = 21.287
Step-by-step explanation:
Use:
SOH CAH TOA
Cos(37) = 17.3/x
x = 21.287
Answer:
x = 21.287
Step-by-step explanation:
Use:
SOH CAH TOA
Cos(37) = 17.3/x
x = 21.287
use the table of values to explain if x and y are in a proportional relationship.
Answer:
Yes, they are in a porpotional relationship.
Step-by-step explanation:
Which system has exactly one solution?
A. 3x - y =8
6x - 2y = 16
B. Y = 4x + 9
Y = 4x - 9
C. -6x + y = 2
Y = 6x + 2
D. 3x + 2y = 4
x - y = 3
Answer:
D
Step-by-step explanation:
A. when using elimination all number cancel out making it infinite solutions
B. has the same slope meaning the lines are parallel and will never intersect
C. when you isolate the y on 1 side for the 1st equation the equations are the same meaning infinite solutions
so d is the only one left
Hope this helps or makes sense.
PLZZ HELP!?!?Graph the linear equation −5x+y=−10. Then identify the x-intercept.
WILL BRAINLIEST IF RIGHT!?!?!?
Answer:
there is no x-intercept because the equation is
[tex]y = - 5[/tex]
there is only a y-intercept
I inserted an image of the graph. It's a straight line across -5.
PLZ HELP! WILL GIVE BRAINLIEST!! PLZ SOLVE QUICK!!
Find the value of x by filling in the blanks in the provided statement - reason solution.
I NEED THE WHOLE STATEMENT REASON CHART FILLED OUT!! THANK YOU SO MUCH IF YOU HELP!
Answer/Step-by-step explanation:
1. m<UTV = m<RTS = 85°
Reason: Definition of vertical angles.
Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.
2. m<R + m<S + m<RTS = 180°
Reason: sum of interior angles of a ∆.
3. 3x + 2x + 85° = 180°
Reason: Substitution
4. x = 19
Reason: Algebra
Solving the equation algebraically, we would have the following:
3x + 2x + 85° = 180°
Add like terms
5x + 85 = 180
5x = 180 - 85 (subtraction property of equality)
5x = 95
Divide both sides by 5
x = 19
So i need help with the question below.
Answer:
Option (1)
Step-by-step explanation:
Option (1)
[tex]3\frac{3}{9}+7\frac{6}{11}=10\frac{87}{99}[/tex]
[tex]3\frac{3}{9}+7\frac{6}{11}[/tex] [tex]=3+\frac{3}{9}+7+\frac{6}{11}[/tex]
[tex]=(3+7)+(\frac{3}{9}+\frac{6}{11})[/tex]
[tex]=10+(\frac{3}{9}\times \frac{11}{11})+(\frac{6}{11}\times \frac{9}{9})[/tex]
[tex]=10+(\frac{33}{99}+\frac{54}{99})[/tex]
[tex]=10+\frac{87}{99}[/tex]
[tex]=10\frac{87}{99}[/tex]
True.
Option (2)
[tex]2\frac{3}{8}+6\frac{4}{5}=8\frac{12}{40}[/tex]
[tex]2\frac{3}{8}+6\frac{4}{5}=2+\frac{3}{8}+6+\frac{4}{5}[/tex]
[tex]=(2+6)+(\frac{3}{8}+\frac{4}{5})[/tex]
[tex]=(8)+(\frac{3}{8}\times \frac{5}{5} +\frac{4}{5}\times \frac{8}{8})[/tex]
[tex]=8+(\frac{15}{40}+\frac{32}{40})[/tex]
[tex]=8+\frac{47}{40}[/tex]
[tex]=8+\frac{40}{40}+\frac{7}{40}[/tex]
[tex]=8+1+\frac{7}{40}[/tex]
[tex]=9+\frac{7}{40}[/tex]
[tex]=9\frac{7}{40}[/tex]
False.
Option(3)
[tex]3\frac{3}{7}+4\frac{2}{3}=7\frac{2}{21}[/tex]
[tex]3\frac{3}{7}+4\frac{2}{3}=(3+\frac{3}{7})+(4+\frac{2}{3})[/tex]
[tex]=(3+4)+(\frac{3}{7}+\frac{2}{3})[/tex]
[tex]=7+(\frac{3}{7}\times \frac{3}{3} +\frac{2}{3}\times \frac{7}{7})[/tex]
[tex]=7+(\frac{9}{21}+\frac{14}{21})[/tex]
[tex]=7+(\frac{23}{21})[/tex]
[tex]=7+(\frac{21}{21}+\frac{2}{21})[/tex]
[tex]=8+\frac{1}{21}[/tex]
[tex]=8\frac{1}{21}[/tex]
False.
Option (4)
[tex]4\frac{5}{6}+5\frac{5}{7}=9\frac{10}{13}[/tex]
[tex]4\frac{5}{6}+5\frac{5}{7}=4+\frac{5}{6}+5+\frac{5}{7}[/tex]
[tex]=(4+5)+(\frac{5}{6}+\frac{5}{7})[/tex]
[tex]=9+(\frac{5}{6}\times \frac{7}{7}+\frac{5}{7}\times \frac{6}{6})[/tex]
[tex]=9+(\frac{35}{42}+\frac{30}{42})[/tex]
[tex]=9+\frac{65}{42}[/tex]
[tex]=9+(\frac{42}{42}+\frac{23}{42})[/tex]
[tex]=9+1+\frac{23}{42}[/tex]
[tex]=10\frac{23}{42}[/tex]
False.
Therefore, Option (1) is the answer.
3. For each literal, make a Venn diagram with three nonempty sets A; B and C, which satisfy simulta-
neously the given conditions:
a)A ⊂ B, C ⊂ B, A ∩ C = ∅ b)A ⊂ C, A 6= B, B ∩ C = ∅
c)A ⊂ B, C * B, A ∩ C 6= ∅ d)A ⊂ (B ∩ C), B ⊂ C, C 6= B, A 6= C.
Answer:
c is the right answer
Answer:
A
Step-by-step explanation:
I say a because it's supposed to bring the Venn diagram alone
A 128 inch board is cut into 3 pieces. The second piece is 33 inches longer than the first piece, and the third is three times as long as the first. Set up an equation and solve it to determine the length of the three pieces.
Answer:
The first piece is 19 inches, the second is 52, and the third piece is 57.
Step-by-step explanation:
Solve for x using (x) + (x + 33) + (3x) = 128.
evaluate the expression. (120÷20)÷(2*3)
Answer: 9
Step-by-step explanation:
120/20/2 (3)
6/2 (3)
(3) (3)
= 9
Glad I could help!
Serena bought 5 shirts for $6 each spent $7 on lunch. she paid for the shirts and lunch using her debit card. The change in the balance of serena’s checking account can be represented by the expression shown. 5(-6) + (-7) which integer represents the change in the balance of serena’s checking account from these purchases? A // -37. B // 23. C // -18. D // 4
Answer:
A -$37
Step-by-step explanation:
5×6=30
30 +7= 37
since your losing money its negatively
-37
The ratio of fifth graders to sixth graders is 4 to 5. If one of the grade totals is 160,
select the possible totals for the other grade.
200
160
40
32
128
Answer:
Hi how are you doing today Jasmine
Answer:
40 and 32 i think
Step-by-step explanation:
i did it and im pretty sure its 40 and 32
Solve each system by elimination.
1) –10x – 15y = 30
-9x - 5y=-24
Answer:
(6,-6)
Step-by-step explanation:
1. -10x-15y=30
-10x-15y+15y=30+15y
-10x/-10=30+15y/-10
x=-3 -3/2
plug in the other equation and solve for y
-9x-5y=-24
-9(-3-3/2)-5y=-24
y=-6
plug -6 in for y in one of the original equations
-9x-5y=-24
-9x-5(-6)=-24
solve for x
x=6
wonderful
A function is initially defined by the set of coordinate pairs ((-3,7), (1,5), (4,13)). Which coordinate pair below, if added to this set, prevents the set from representing a function?
1) (2,5) 2) (5,0) 3) (-1,8) 4) (1,4)
Answer:
We conclude that if we add (1, 4) to this set, it prevents the set from representing a function.
Step-by-step explanation:
Given the initial function
{(-3, 7), (1, 5), (4, 13)}
We know that the given function indicates the relation in which each input has only one output.
i.e.
at x = -3, y = 7
at x = 1, y = 5
at x = 4,y = 13
Thus, it represents a function, becaus there is no repetitive inputs.
The only way the above function will no longer be a function we bring a point, adding of which makes the initial function having repetitive inputs.
i.e. if we add (1, 4) to the initial set, the relation will no longer be a function.
because induction of the point (1, 4) causes repetitive inputs because x = 1 is already present in the set.
so adding the point (1, 4)
{(-3, 7), (1, 4), (1, 5), (4, 13)}
Now, check the points (1, 4) and (1, 5).
It is clear that there are multiple outputs for x = 1. In other words, the input is no more a unique value as x=1 has been repeated multiple times.
Therefore, we conclude that if we add (1, 4) to this set, it prevents the set from representing a function.
The king who retains power by tradition of allegiance ensures that a religious doctrine is enforced as government policy. Which of the following accurately describes the type of government? (4 points)
a
This country has both a monarchy and a theocracy.
b
This country has both a dictatorship and a monarchy.
c
This country has both a democracy and a theocracy.
d
This country has both a democracy and a monarchy.
Answer:
The answer is C.This country has both a democracy and a theocracy