Answer:
1. 9
2. 10
3. 9
Step-by-step explanation:
c-3=6
+3 +3
-----------
c = 9
x+8=18
-8 -8
------------
x = 10
y-5=4
+5 +5
------------
y = 9
hope this helps! :D brainliest would be very, very much appreciated!! <3
A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be % confident that his estimate is in error by no more than percentage point Complete parts (a) through (c) below.
A) Assume nothing is known about the percentage of computers with new operating systems
n =
round up to the nearest integer
b) Assume that the recent survey suggest that about 96% of computers use a operating system.
n =
round up to the nearest integer
C) Does the additional survey information from part (b) have much of an effect on the sample size that is required?
A.
Yes, using the additional survey information from part (b) dramatically reduces the sample size.
B.
No, using the additional survey information from part (b) does not change the sample size.
C.
Yes, using the additional survey information from part (b) dramatically increases the sample size.
D.
No, using the additional survey information from part (b) only slightly increases the sample size.
Using the z-distribution, we have that:
a) A sample of 601 is needed.
b) A sample of 93 is needed.
c) A. Yes, using the additional survey information from part (b) dramatically reduces the sample size.
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].
For this problem, we consider that we want it to be within 4%.
Item a:
The sample size is n for which M = 0.04.There is no estimate, hence [tex]\pi = 0.5[/tex][tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2[/tex]
[tex]n = 600.25[/tex]
Rounding up:
A sample of 601 is needed.
Item b:
The estimate is [tex]\pi = 0.96[/tex], hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2[/tex]
[tex]n = 92.2[/tex]
Rounding up:
A sample of 93 is needed.
Item c:
The closer the estimate is to [tex]\pi = 0.5[/tex], the larger the sample size needed, hence, the correct option is A.
For more on the z-distribution, you can check brainly.com/question/25404151
what equation is equivalent to 7-2x=5
Answer:
x = 1New equation: 7 - 2 = 5Step-by-step explanation:
7 - 2x = 5=> 7 - 5 = 2x=> 2 = 2x=> x = 1Conclusion:
Since:
x = 1Our new equation will be 7 - 2 = 5
Hoped this helped.
Hey there!
7 - 2x = 5
-2x + 7 = 5
SUBTRACT 7 to BOTH SIDES
-2x + 7 - 7 = 5 - 7
CANCEL out: 7 - 7 because that gives you 0
KEEP: 5 - 7 because it helps solve for the x-value
NEW EQUATION: -2x = 5 - 7
SIMPLIFY IT!
-2x = -2
DIVIDE -2 to BOTH SIDES
-2x/-2 = -2/-2
CANCEL out: -2/-2 (on the LEFT SIDE) because that gives you 1
KEEP: -2/-2 (on the RIGHT SIDE) because it helps you solve for the x-value
NEW EQUATION: x = -2/-2
SIMPLIFY IT!
x = 1
Therefore, your answer should be: x = 1
Checking to make sure it is correct!
-2x + 7 = 5
-2(1) + 7 = 5
-2 + 7 = 5
So, this makes this statement TRUE
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The probability of the test showing negative given the person does not have the disease?
If Y varies directly as x and y= 49 when x= 40, find y if x =34
Answer:
y = 41.65
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 49 when x = 40
49 = 40k ( divide both sides by 40 )
[tex]\frac{49}{40}[/tex] = k = 1.225
y = 1.225x ← equation of variation
When x = 34 , then
y = 1.225 × 34 = 41.65
6. Is the inequality 5 - x2 < 4
true for x= 1?
Answer:
no
Step-by-step explanation:
since x=1 5-2<4 so then 3<4 so no Im not sure
Answer:
No
Step-by-step explanation:
5-x² when x=1 is 4.
1²=1
5-1=4
4 is not less than 4 so it can't be true.
The perimeter of a rectangle is 2020 units.
The length of the rectangle is the distance from (-2,6)(−2,6) to (5,6)(5,6).
What is the width, in units, of the rectangle?
Answer:
8.4
Step-by-step explanation:
edge
What is the sum of the coefficients in the expression below?
22°y2 + 5x+ y2 - 6xy' +7
Answer:
485y to the power 2 + 5x to the power 2 - 6xy to the power 3 + 7
Step-by-step explanation:
I hope this helps. Also, there's this free app called Quick Math. If you need the steps, you should check there first, and maybe you should try that for other math problems as well.
Good luck and have a great rest of your day.
Less than and equal to is closed or open
Answer:
less than is
<
Step-by-step explanation:
equal to is =
mark me as brainliest pls
JACKIE BROUGHT 3/4 OF A GALLON OF ICED TEA TO THE PARTY. BILL BROUGHT 7/8 OF A GALLON OF ICED TEA TO THE SAME PARTY. HOW MUCH ICED TEA DID JACKIE AND BILL BRING TO THE PARTY?
Answer:
your welcome... hope this helps
Step-by-step explanation:
Together, Mike and Bill have $50 more than Joe has. Mike has $26 more than Bill. The three boys have a total $506. How much money does each boy have.
i wish i had that much money
Answer:
Step-by-step explanation:
1. 84
2. 96
Answer: Divisible by 2, 3, 6
3. 896
4. 942
Answer: Divisible by 2, 3, 6
5. 22,335
6. 39,075
Answer: Divisible by 3, 5
Find Prime Factorizations and Least Common Multiples In the following exercises, find the
prime factorization.
7. 86
8. 78
Answer: 2 3 13 ⋅ ⋅
9. 455
10. 400
Answer: 222255 ⋅⋅⋅⋅⋅
11. 432
12. 627
Answer: 3 11 19 ⋅ ⋅
In the following exercises, find the least common multiple of each pair of numbers using the
prime factors method.
13. 8, 12
hope that help mark me brinliylist
Are the ratios 2:1 and 17:7 equivalent?
Answer:
no
Step-by-step explanation:
1 x 7 = 7 but 2 x 7 does not equal 17
Matt has 5 cookies Addie eats 3. How old is Addie?
Answer:
old enough to eat a cookie
Solve this by elemination thx.
5x-4y=16
3y+2x=-12
And explain.
Answer:
10x-8y=32
10x+15y=-60
-23y=92
y=-92/23
make as brainleast
In developing an interval estimate of the population mean, if the population standard deviation is unknown _____.
Answer:
the sample standard deviation and t distribution can be used
Step-by-step explanation:
Sarah walked ½ mile yesterday morning and ¾ mile yesterday afternoon. What was the total distance walked by Sarah?
Answer:
1.25 miles or 5/4
Step-by-step explanation:
Take the two distances and add them together and simplify.
Answer: 1 & 1/4 mile
Explanation:
1/2 = 2/4
She walked 2/4 of a mile in the morning and 3/4 of a mile in the afternoon. The total she walked is 5/4 of a mile. We add the numerators and place the sum over the common denominator.
The improper fraction 5/4 converts to the mixed number 1 & 1/4, since,
5/4 = (4+1)/4 = 4/4 + 1/4 = 1 + 1/4 = 1 & 1/4
Find the perimeter and area of this polygon. (Geometry)
Answer:
rectangle= 22*9 = 198ft
triangle=11*10 = 110 ft
110+ 198 = 308 polygon
A jet can carry up to 200,000 liters of fuel.it used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight
The mean hourly wage for employees in goods-producing industries was $24.57, April 12, 2012 (Bureau of Labor Statistics). Suppose a sample of 30 employees from the manufacturing industry is taken, in April 2012, to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.
a. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
b. Suppose a sample of 30 employees from the manufacturing industry showed a sam- ple mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.
c. With a = .05 as the level of significance, what is your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.
Step-by-step explanation:
a. The null hypothesis is generally an exact value and the alternative hypothesis is the one we are trying to show. We are trying to show that the population mean is different from $24.57, so the hypotheses are as follows:
Null: The population mean hourly wage in the manufacturing industry is the same as the population mean hourly wage in the goods-producing industries
Alternative: The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries
b.
Because we know the population standard deviation, we can use a z test
Plugging in the values:
Expected population mean: 24.57
Sample average: 23.89
Sample size: 30
Population standard deviation: 2.4, we get 0.1207 as our p-value.
c. Using a = 0.05, our p-value is greater than that, so we can not conclude the alternative hypothesis (The population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries)
d. Using a critical value calculator, we can find that for a two-tailed approach, the critical value would be 1.96. This would mean that the z score would have to be greater than 1.96 or less than -1.96 for the results to be significant. The population mean we would plug in here is 24.57, while the raw score would be 23.89 and the standard deviation would be 2.4. The z score we get is -0.283, which is not in the values specified (>1.96 or <-1.95) so we cannot conclude the alternative hypothesis
(1/4)^3 evaluate simplify
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
This is an Exponent. It is when a number is being multiplied as many times as the Exponent on top.
[tex]\left(\frac{1}{4}\right)^3[/tex] The ³ is the exponent,
[tex]\frac{1}{4} \times\frac{1}{4} \times\frac{1}{4}[/tex] is the expansion, and
Multiply on top: 1 × 1 × 1 = 1
Multiply the bottom: 4 × 4 = 16. 16 × 4 = 64
Hence, [tex]\frac{1}{64}[/tex] is the product or simplified form.
Another way:
[tex]\underline{\mathrm{Exponent\:rule\:}}\left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]\left(\frac{1}{4}\right)^3[/tex]
[tex]=\frac{1^3}{4^3}[/tex]
[tex]1^3=1[/tex]
[tex]=\frac{1}{4^3}[/tex]
[tex]4^3=64[/tex]
[tex]=\frac{1}{64}[/tex]
What is the product of y and 10
Answer:
10y
Step-by-step explanation:
product means to multiply so you would multiply y and 10 so the options would be
10y
y x 10
How can you simplify this expression?
Answer:
add the exponents
Step-by-step explanation:
Windstrong has an elevation of -28.7 feet, and Kennington has an elevation of 28.7 feet. Which of the following is true?
A.
Windstrong's elevation < Kennington's elevation
B.
Windstrong's elevation = Kennington's elevation
C.
Windstrong's elevation > Kennington's elevation
Answer:
b
Step-by-step explanation:
Van is watching birds in his backyard. There are 9 sparrows or 45% sparrows. How many birds are in his backyard?
Answer:
11
Step-by-step explanation:
SOMEONE PLEASE HELP ME!!
Answer:
should be 3
Step-by-step explanation:
hope you get a good grade
Help help help math math
Answer:
x = 11
Step-by-step explanation:
Lines are parallel. 5x + 10 and 10x + 5 are supplements of each other.
Move 5x+ 10 to the corresponding position on the figure. It will be next to 10x + 5 and form a linear pair with 10x + 5. A linear pair form a straight angle or two supplementary angles. Supplementary angles = 180°
Therefore 5x +10 + 10x + 5 = 180°
15x + 15 = 180°
15x = 180 - 15
15x = 165
x = 11
What’s the Question? Selena ran farther than
Manny.
If Selena ran x miles and manny ran y miles, who ran more miles
x=any number
y=any number smaller than x
MARKING AS BRAINLIEST!! Starr if given functions are inverse)!
Answer: They are inverses of each other
==========================================================
Explanation:
We'll need to compute h(f(x)) and f(h(x)) to see if we get x each time.
[tex]h(x) = 9x-4\\\\h(f(x)) = 9(f(x))-4\\\\h(f(x)) = 9\left(\frac{x+4}{9}\right)-4\\\\h(f(x)) = x+4-4\\\\h(f(x)) = x\\\\[/tex]
and,
[tex]f(x) = \frac{x+4}{9}\\\\f(h(x)) = \frac{h(x)+4}{9}\\\\f(h(x)) = \frac{9x-4+4}{9}\\\\f(h(x)) = \frac{9x}{9}\\\\f(h(x)) = x\\\\[/tex]
Both composite functions lead to x each time.
The equations h(f(x)) = x and f(h(x)) = x being true means each function is the inverse of the other.
pls help wiht this question ill give you 69 points whoever awnsers
Answer:
what's thequestion?
Step-by-step explanation:
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
4. What does ¾ + ¼ = ?
Answer in simplest form.
can someone gimme the answer please
Answer:
g(x) = 1/4 f(x)
Step-by-step explanation:
(x,y) -> (x , 1/4 y) .. vertical compression
