Answer:
900 sample size
Step-by-step explanation:
To determine the sample size for a proportion, the margin of error formula is used to determine this:
[tex]E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }[/tex]
[tex]n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2[/tex]
Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, [tex]Z_\frac{\alpha }{2}[/tex] is the z score.
Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5
E = 5% = 0.05, [tex]Z_\frac{\alpha }{2}[/tex] = 3. Hence:
[tex]n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900[/tex]
4. The mode of the following data set is 15, 16, 17, 23. 11, 19, 20, 15, 18, 22. 15, 19
Answer:
Step-by-step explanation:
the mode of the given data is 15 because it repeats highest number of times.
The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary school when the population reaches 100,000. If there are currently 76,000 people living in the town, how long do they have before the new school will be needed?
Answer:
The correct solution is "4.6".
Step-by-step explanation:
Given:
Interest rate,
r = 6.2%
or,
= 0.062
Amount,
A = 100000
Principle,
P = 76000
As we know,
⇒ [tex]A=P(1+\frac{r}{100} )^n[/tex]
On substituting the values, we get
⇒ [tex]100000=76000(1+\frac{6.2}{100} )^n[/tex]
⇒ [tex](1+0.062)^n=\frac{100}{76}[/tex]
On taking log both sides, we get
⇒ [tex]n \ log_e(1.062)=log_e(\frac{100}{76} )[/tex]
⇒ [tex]n=\frac{ln(\frac{100}{76} )}{ln(1.062)}[/tex]
By putting the values of log, we get
⇒ [tex]=4.5622[/tex]
or,
⇒ [tex]=4.6[/tex]
Q 36: The side of square ABCD measures n cm. We know that n is a natural number and that the area of quadrilateral AECF is 66 cm2. Of all the rectangles that have an area of 2n2, how many have a perimeter greater than 100 cm?
Answer:
Step-by-step explanation:
45 cm + 30 cm x 2 = AREA
What is the total number of outcomes for choosing a numbered card from 1 to 10 and a number on a
number cube labeled one to six?
the total number of out comes would be 16^2 or 256.
some extra things...
A numbered card from 1 - 10 would be 1 over 10 or 10% chance of picking correctly.
a number cube from 1 - 6 would be 1 over 6 or 16.66% chance of picking correctly.
if you want to combine these and pick one from both, it becomes 1 over 16 or 6.25% chance of picking both correctly.
28. Scott is participating in a monthly push-up challenge. Each day he is expected to increase the number of push-ups he completes by the same amount.
1 2 3 4
On day 1, Scott completed 3 push-ups. On day 2, Scott completed 5 push-ups. On day 3, Scott completed 7
push-ups. On day 4, Scott completed 9 push-ups.
If Scott continues this pattern, how many push-ups will he be able to
Answer:
On day 5, he should be able to do 11
Step-by-step explanation:
Day 1 - 3
Day 2 - 5 (2 more than day before)
Day 3 - 7 (2 more than day before)
Day 4 - 9 (2 more than day before)
Following this pattern of +2, day 5 should be 11.
that's my thought process, so I hope it works
Dana is working on her book. She types at a constant rate of 60 words per minute. Linear or Non linear?
Answer:
the answer would be linear
Step-by-step explanation:
eqwertyumnbvcxsaqwertyuioplkjhgfds1234567890
In AKLM, k = 7.7 cm, m = 5.8 cm and ZM=139°. Find all possible values of ZK, to the
nearest 1oth of a degree.
Answer:
no possible triangles
Step-by-step explanation:
just turn it in blank on delta
Find the surface area of the prism.
5 yd
4 yd
12yd
6 yd
The surface area is
square yards.
Answer:
The surface area is 12 square yards.
Step-by-step explanation:
Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have? First complete the equations below, where N stands for nickels and D stands for dimes. [?]N + [ ]D = 1.65; N + D
Answer:
Step-by-step explanation:
Let n represent nickels & d dimes
given: n + d = 25 #1 (number of coins)
given: .05n + .10d = 1.65 #2 (amount in dollars)
n = 25 - d #3 (rewrite of #1)
.05(25 -d) + .10d = 1.65 (substitute #3 in #2)
1.25 - .05d + .10d = 1.65 (multiply out the left side)
.05d = .40 (collection of like terms)
d = 8 (divided both sides by.05)
n + 8 = 25 (substitute answer for d in #1)
n = 17 (subtract both sides by 8)
There are 8 dimes and 17 nickels.
Check:
17(.05) + 8(.10) = 1.65 (answers in #2)
.85 + .80 = 1.65 (multiply out the left side)
1.65 = 1.65 ✔️ QED
Answer: There are 8 dimes and 17 nickels.
Step-by-step explanation: 0.05N+.10D=1.65; N+D=25
Please help its urgent will give brainiest and show your work
Answer:
r = 28 ft
Step-by-step explanation:
In a right triangle we have:
45² + r² = ( 25 + r )²
2025 + r² = 625 + 50r + r²
1400 = 50r
r = 28 ft
If you know that log5 (2) - log5 (12) = 0, which of the following is false?
ол
A log5 (x) = log5 (12)
O Blog (2 - 12) = 0
C log5 (x) = 0
ор.
2 = 12
Answer:
B
Step-by-step explanation:
A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality
C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]
so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct
D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12
For B, there is no property supporting that statement.
HELP PLEASE PLEASE PLEASE
Answer:
If you beg for help like that you won't get any.
Step-by-step explanation:
pls help!!!! 15 points !!!
Answer:
56 cm
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Find the value of x
7-10 plsss
Answer:
Step-by-step explanation:
Hope it helps u!!
The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.
What is Polygons?Polygons are closed figures which has at least three set of line segments joined together.
The polygon with least number of sides is triangle.
7) It is a polygon with 4 sides (quadrilateral)
Sum of the interior angles of a quadrilateral = 360°
45° + 65° + 95° + x = 360°
x = 360° - (45° + 65° + 95°)
x = 155°
8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.
There are 6 sides.
Sum of the interior angles = (6 - 2)180° = 720°
x + 140 + 130 + 120 + 90 + 150 = 720
x = 90°
9) n = 5
Sum of the interior angles = (5 - 2) 180° = 540°
2x + 90 + 100 + 70 = 540
2x = 280
x = 140°
10) Sum of the exterior angles of a polygon is 360°.
4x + x + 98 + 162 = 360
5x = 100
x = 20°
Hence the values of x are found.
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which is it? please help me and i will give brainliest
Answer: A, 1/2
Step-by-step explanation:
he is simply using 1 cup of bs for each cup of ws so when you do it its i cup of ws then its hald of 1 bs
Answer:
it is 1/2 i.e. the first option
this is simple ratio method;
white : brown
2 : 1
1 : x
x = 1/2 cups
Hope this helps!
I would really appreciate if you mark me brainliest as I have been trying to get there for a veryyy long time now :)
A 25 foot ladder is set against the side of a house so that it reaches up 15 feet. If Damian grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.
Answer: 9.8 ft
Step-by-step explanation: did on delta math:)
Answer:
9.8 ft
Step-by-step explanation:
(attached images) source: deltamath
8) Cameron plans to purchase his graduation pictures. The prints cost at least $192 since there are add
ons he may purchase. If he saves $32 per week, write and solve an inequality to determine how many
weeks it will take for Cameron to purchase his graduation pictures.
I
Answer:
I dont know how to write the answer but i hope my math helped.
Step-by-step explanation:
192 divided by 32 is 6 so it will take Cameron a total of 6 weeks to get is pictures.
Answer:
32x>192
Step-by-step explanation:
I'm not 100% sure, but if you said you needed an inequality the money could be more than 192. So if you have $32 per week (x) is greater than 192 and solve, Camerson could work 6 weeks OR greater. I hope this helps :)
Answer this question pls!! (Will give Brainliest)
Answer:
22
Step-by-step explanation:
C=2πr
[tex]C=2*3\frac{1}{2} *\frac{22}{7} =2*\frac{7}{2} *\frac{22}{7} =22[/tex]
Determine whether the distribution below represents a probability distribution.
x
P(x)
3
-.3
6
.5
9
.1
12
.3
15
.4
Answer:
No, not a probability distribution.
Step-by-step explanation:
It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.
please answer the question! i will give brainliest!!!!!!
Answer:
B because you multiply all the similar numbers together then at the end you add them all up.Step-by-step explanation:
Help pls Show work if needed
Answer:
8a) false
8b) true
8c) true
8d) false
WILL GIVE BRAINLIEST anitas and caseys bills do not vary from month to month. anita pays 80 more than casey does each month. over the course of 4 months,their combined bill is 1,520. write the system of equations that describes this situation and solve it to find the montly payments for anita and casey.
Answer:
1520/4=380 per month
Step-by-step explanation:
The monthly payments for Anita and Casey are 230 and 150.
What is equation?"An equation is a formula that expresses the equality of two expressions consisting of variables and/or numbers, by connecting them with the equals sign =."
Assume
Monthly payments for Anita = x
Monthly payments for Casey = y
We have
Anita pays 80 more than Casey does each month.
We can write the equation
x = y + 80
x - y = 80 ...........................(1)
Over the course of 4 months, their combined bill is 1,520.
We can write the equation
4x + 4y = 1520...................(2)
Solving equations (1) and (2) by substituting equation x = y + 80 in equation (2)
⇒4x + 4y = 1520
⇒4(y + 80) + 4y = 1520
⇒4y + 320 + 4y = 1520
⇒8y = 1520-320
⇒8y = 1200
⇒y = [tex]\frac{1200}{8}[/tex]
⇒y = 150
Substitute y = 150 in equation (1)
⇒x - y = 80
⇒x - 150 = 80
⇒x = 80+150
⇒x = 230
Hence, the monthly payments for Anita and Casey are 230 and 150.
Learn more about equation here
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What is the answer to this bonus question? And I need a step by step explanation please
Answer:
Q = 9.1º
Step-by-step explanation:
Law of Cosines
c² = a² + b² - 2ab * cosC
1.3² = 7² + 7.6² - 2(7)7.6 * cosQ
1.69 = 106.76 - 106.4 * cosQ
Subtract 106.76 from both sides
-105.07 = -106.4 * cosQ
Divide both sides by -106.4
0.9875 = cosQ
Q = arccos0.9875
Q = 9.068721546032704
Rounded
C = 9.1º
pls answer from exercise 14.1 a
Answer:
b = 2a - 1
Step-by-step explanation:
a = 1 , b = 2 x 1 - 1 = 2 - 1 = 1
a = 2 , b = 2 x 2 - 1 = 4 - 1 = 3
a = 3, b = 2 x 3 - 1 = 6 - 1 = 5
a = 4, b = 2 x 4 - 1 = 8 - 1 = 7
Answer:
b = 2a - 1
Step-by-step explanation:
We can see the pattern:
1 = 1 + 0 = 1 + 1 - 1
1 = 1 - 1
3 = 2 + 1 = 2 + 2 - 1
3 = 2 + 2 - 1
5 = 3 + 2 = 3 + 3 - 1
5 = 3 + 3 - 1
7 = 4 + 3 = 4 + 4 - 1
7 = 4 + 4 - 1
.
.
.
i will give cookie if u do this for me
Answer:
PPP Loan
Step-by-step explanation:
Answer:
bottom right
Step-by-step explanation:
Compute 3 1/3 devided by 20 which is the quotient in the simplest form?
9514 1404 393
Answer:
1/6
Step-by-step explanation:
(3 1/3)/20 = (10/3)×(1/20) = 10/60 = 1/6
00:00
Find the surface area of the square pyramid. Enter your answer in the box.
10 cm
A
11 cm
11 cm
cm2
The physician orders Keflex (cephalexin monohydrate) 0.5 g per NG tube q6h. Read the label and calculate the correct dosage.
Label reads : 250 mg per 5 mL
Answer:
100 mL
Step-by-step explanation:
0.5 x 1000 =500mg
250mg/5ml= 5mg per 1ml
500mg/x mL = 5mg/1ml
cross multiply
500=5mg XmL
=100mL
Which equation is not equivalent
Answer:
C
Step-by-step explanation:
(2x+3)(x+4) = 2x² + 8x + 3x + 12
= 2x² + 11x + 12 ≠ 2x² + 10x + 12