Answer: the minimum sample size needed = 145
Step-by-step explanation:
Formula for sample size:
[tex]Sample \ size =(\dfrac{z^*\times standard\ deviation}{margin \ of \ error})^2[/tex]
, where z* = Critical z-value
Given: Standard deviation = 2.15
Margin of error = 0.35
Z* for 95% confidence = 1.96
Sample size = [tex](\frac{1.96\times2.15}{0.35})^2[/tex]
[tex]=(12.04)^2\\\\=144.9616\approx145[/tex]
Hence, the minimum sample size needed = 145
Karim had a packet of 200 chocolates. He gave 35% of them to his sister. How many chocolates were left with him?
Answer:
Karim had 130 chocolates left.
Step-by-step explanation:
The quick way to do this is to notice that if he gave away 35% of his chocolates, he must have 65% left. That comes about by doing
100% (which is what he started with) - 35% = 65%
65% of 200 Change 65% into a fraction
65/100 * 200 Multiply 200 * 65
13000 / 100 Divide by 100
130
Answer:
130 left
Step-by-step explanation:
35% of 200 chocolates is equal to 70 chocolates.
200-70=130 chocolates
х- а
x-b
If f(x) = b.x-a÷b-a + a.x-b÷a - b
Prove that: f (a) + f(b) = f (a + b)
Given:
Consider the given function:
[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}[/tex]
To prove:
[tex]f(a)+f(b)=f(a+b)[/tex]
Solution:
We have,
[tex]f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}[/tex]
Substituting [tex]x=a[/tex], we get
[tex]f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}[/tex]
[tex]f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}[/tex]
[tex]f(a)=0+a[/tex]
[tex]f(a)=a[/tex]
Substituting [tex]x=b[/tex], we get
[tex]f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}[/tex]
[tex]f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}[/tex]
[tex]f(b)=b+0[/tex]
[tex]f(b)=b[/tex]
Substituting [tex]x=a+b[/tex], we get
[tex]f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}[/tex]
[tex]f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}[/tex]
[tex]f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}[/tex]
[tex]f(a+b)=\dfrac{b^2-a^2}{b-a}[/tex]
Using the algebraic formula, we get
[tex]f(a+b)=\dfrac{(b-a)(b+a)}{b-a}[/tex] [tex][\because b^2-a^2=(b-a)(b+a)][/tex]
[tex]f(a+b)=b+a[/tex]
[tex]f(a+b)=a+b[/tex] [Commutative property of addition]
Now,
[tex]LHS=f(a)+f(b)[/tex]
[tex]LHS=a+b[/tex]
[tex]LHS=f(a+b)[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
if 12 people at a party shake Hands once and only once with everyone else how many handshakes occur
serian 144 apretones de manos en total
Answer:
66
Step-by-step explanation:
hope it helps :)
Mention 3 places
where you can get
pre-approved for a
car loan
Answer:
Auto Credit Express, Carvana, Capital one auto loan
WILL GIVE BRAINLIEST!!!!!
Create three new exponential equations to represent Alison, Cindy, and Javier. Alison loves social media and likes for her posts to be shared as much as possible while Cindy and Javier prefer for their posts to stay amongst their friends primarily.
Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.
While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.
What is an exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
What is an example of an exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
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Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.
While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.
What is an exponential equation?
An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
What is an example of an exponential equation?
An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
in a fruit basket there were 24 oranges and the rest were lemos if 20% of fruits were lemons how many fruits were there altogether
Answer:
30
Step-by-step explanation:
.2(24 + L) = L
.48 + .2L = L
.48 = .8L
6 = L
24 + 6 = 30
MA + q ² A =g
Someone help me to do this Aquarian
Answer:
a=g/q2+m
Step-by-step explanation:Let's solve for a.
ma+q2a=g
Step 1: Factor out variable a.
a(q2+m)=g
Step 2: Divide both sides by q^2+m.
a(q2+m)
q2+m
=
g
q2+m
a=
g
q2+m
which expression is equivalent to 9 +y+y+3
The height of a cylinder is 10 yards. The volume of the cylinder is 1,540 cubic yards. What is the radius of the cylinder? Use 22/7 or 3.14 for pie
Answer:
Radius ≈ 7 yd
Step-by-step explanation:
Height = 10
Volume = 1540
Missing radius
Use the formula and work backwards
Formula : πr²h
Plug in the given info:
1540 = 3.14 * r² * 10
Work backwards:
1540/10 = 3.14 * r²
154 = 3.14 * r²
154/3.14 = r²
49.044 = r²
√49.044 ≈ 7
Radius = 7
If my answer is incorrect, pls correct me!
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A bag contains 2 white balls, 3 red balls and a black ball. if a ball is selected at random, what is the probability that it is (a). not white
(b). red
(c). black
Answer:
a) 2/3
b) 1/2
c) 1/6
Step-by-step explanation:
2 white balls + 3 red balls + 1 black ball = 6 balls all together so then you do the number of balls over 6
Answer:
P( not white ) =2/3
P ( red)= 1/2
P( black) = 1/6
Step-by-step explanation:
2 white balls, 3 red balls and a black ball. = 6 balls
P( not white ) = number of balls not white / total = 4/6 =2/3
P ( red) = number of balls that are red/ total = 3/6 = 1/2
P( black) = number of balls that are black/ total = 1/6
HELP ASAP. Find the set.
Given:
The given sets are:
[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]
[tex]A=\{x|x\text{ is an odd natural number and }x<10\}[/tex]
[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]
[tex]C=\{x|x\in N\text{ and }3<x<5\}[/tex]
To find
The set [tex]B\cap U[/tex].
Solution:
We have,
[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]
[tex]U=\{1,2,3,4,5,6,7,8,9\}[/tex]
[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]
[tex]B=\{2,4,6,8\}[/tex]
Now, [tex]B\cap U[/tex] is the set that contains all the common elements of both sets B and U.
[tex]B\cap U=\{2,4,6,8\}[/tex]
[tex]B\cap U=B[/tex]
Therefore, the correct option is A.
9-3(x-6) = 2(x-4)-10
Answer: x = 9
Step-by-step explanation: your welcome
Answer:
x=9
Step-by-step explanation:
9-3(x-6)=2(x-4)-10
9-3x+18=2x-8-10
9-3x+18=2x-18
9+3x+18=+3x-18
9+18=5x-18
9+18=5x+18
45=5x/5
45/5 = x
9=x
ASAP show work pleaseee for all of them. 20pst
Answer:
Answer is in picture
Step-by-step explanation:
Hope it is helpful...
Draw and label the solution to each
PLEASE HELP: The exact value of cos 13π/8 is: A. 0.99. B. √2- √2/4 c. √2+√2/4 D. 0.38.
The exact value of cos(13π/8) is 1/2 [tex]\sqrt{2-\sqrt{2} }[/tex].
What is trigonometric ratio?Trigonometriic ratios are the ratios of the sides of a right angled triangle. sin , cos, tan, sec, cosec, cot are some of the trigonometric ratios. Sin is the ratio of perpendicular and hypotenuse, cos is the ratio if base and hypotenuse, tan is the ratio of perpendicular and base, secant is the ratio of hypotenuse and base, cosecant is the ratio of hypotenuse and perpendicular, cot is the ratio of base and perpendicular.
How to find value?We have to find the value of cos (13π/8).
We have to use formula which is following:
cos[tex]Θ[/tex]=[tex]\sqrt{1/2(1+cos 2Θ}[/tex]
=[tex]\sqrt{1/2(1+cos(2*13 π/8)}[/tex] (π=[tex]π[/tex])
=[tex]\sqrt{1/2(1+cos(3 π+π/4)}[/tex]
=[tex]\sqrt{1/2(1-cos(π/4)}[/tex]
=[tex]\sqrt{1/2(1-1/\sqrt{2} }[/tex]
=[tex]\sqrt{\sqrt{2}-1/2\sqrt{2} }[/tex]
=1/2[tex]\sqrt{2-\sqrt{2} }[/tex]
Hence the value of cos (13π/8) is [tex]1/2\sqrt{2-\sqrt{2} }[/tex].
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What is the difference between a bar chart and a histogram?
Answer:
In simple terms, a bar chart is used in summarizing categorical data, where a histogram uses a bar of different heights, it is similar to the bar chart in many terms but the histogram groups the numbers into the ranges while representing the data.
bar chart is a graph in the form of boxes of different heights, with each box representing a different value or category of data, and the heights representing frequencies.
but,
Histogram is graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.
According to Money magazine, Maryland had the highest median annual household income of any state in at (Time website). Assume that annual household income in Maryland follows a normal distribution with a median of and standard deviation of . a. What is the probability that a household in Maryland has an annual income of or more (to 4 decimals)
Answer:
The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]
What is the probability that a household in Maryland has an annual income of X or more?
The probability that a household in Maryland has an annual income of X or more is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\sigma}[/tex], in which [tex]\mu[/tex] is the mean income and [tex]\sigma[/tex] is the standard deviation of incomes.
Find the diameter of each
circle below. If there is not
enough information, write
"cannot tell."
Find the radius of each
circle below. If there is not
enough information, write
"cannot tell."
I’ll mark brainliest
Answer:
The answer is option A.
:)))))))
Find the volume of the prism
Answer:
D
Step-by-step explanation:
you just add it all up 10+6+8
Answer:
volume of the prism=8×6×10
=480 in²
How many 5/8 inch binder clips, laid side by side, make a length of 11 1/4 inches?
Answer:
18
Step-by-step explanation:
make 11 1/4 into improper fraction > 45/4
multiply by 2 so it has same denominator > 90/8
90/8 divided by 5/8 = 18
Answer:
18 binder clips
Step-by-step explanation:
The question basically asks, how many 5/8 inch binder clips can you add to get 11 1/4 inches.
To get the answer, you simply divide 5/8 by 11 1/4.
To divide first convert 11 1/4 to an improper fraction. To get an improper fraction you multiply the denominator by the whole number and then add the numerator. Here it would be (11*4)+1= 45 so 11 1/4 as a mixed fraction would be 45/4.
Now you can divide.
[tex]\frac{45}{4} / \frac{5}{8}[/tex]
To divide, use the chant, "keep, change, flip". Keep the 45/4, change the division to multiplication, and flip the 5/8.
You would get this:
[tex]\frac{45}{4} *\frac{8}{5}[/tex]
There are multiple ways to solve now. You can just multiply the numerator and then the denominators to get 360/20 and simplify to get 18 OR you can cross multiply and change the 45 to 9 because 45/5 is 9 and change the 8 to 2 because 8/4 is 2 and then multiply 9 by 2 to also get 18.
I hope it helps!
Define the word term
Answer:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.
hope this helps
have a good day :)
Step-by-step explanation:
What angle is supplementary to 123.9
4-2x=22 relationship can be written as
Answer:X=-9
Step-by-sep explanation:
4-2X=22
Move towards
⇒-2X=22-4
Multiply -1
⇒2X=-18
Divide by two
⇒X=-9
What is an equation that is true for all values of the variable
Answer:
x=x
Step-by-step explanation:
draw a poster that symbolizes-the importance of grammatical signals in developing patterns of idea in communiting to your readers.You will be graded according to the rubrics provided. .an example is provided as your guide.
_________
#LetsStudy
Using grammatical signals in developing patterns of ideas can be like a zipper because it zips our ideas or combined some information.
What are Grammatical signals?Grammatical signals are writing devices that serve to maintain text coherence. The short story is one of the written mediums where we can find these signals.
Important's of Grammatical signals
Grammatical signals are important because they signal relationships between sentences using backreference through the use of pronominal forms, determiners, repetition of keywords, synonyms, and superordination.
In short, they signal the relationship between new sentences and the one before them and they are also important writing devices in text construction.
Learn more about Grammatical signals;
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¿Cual es la fórmula del trapecio?
Ayuda plis
Answer:
Por lo tanto, el área de la fórmula de trapecio se da como: Área de un trapecio, A = h (a + b) / 2 unidades cuadradas. "h" es la altitud o altura. Sea a y b la longitud de los lados paralelos de un trapecio ABCD, como a es la longitud de la base y b es la longitud del lado paralelo a a.
Step-by-step explanation:
how do you write 6 x 6 x 6 x 6 x 6
Answer:
Exponent form
[tex] {6}^{5} [/tex]
Answer:
6^5
Step-by-step explanation:
6 x 6 x 6 x 6 x 6
There are 5 6's multiplied together
The base is 6 and the power is 5
6^5
Question 1 Multiple Choice Worth 5 points)
(03.08 LC)
What percentage of grocery store purchases are not planned purchases?
60%
20%
40%
10%
Answer:
60%
Step-by-step explanation:
is it FLVS right?
i hope this is right
enjoy
In Centerville, 45% of the population is female, and 60% of the population commutes to work daily. Of the total Centerville population, 21% are females who commute to work daily. What percentage of the total Centerville population are males who do NOT commute to work daily?
Answer:
16%
Step-by-step explanation:
100%-45%=55%
60%-21%=39%
55%-39%=16%
the total Centerville population are males who do NOT commute to work daily is 16%.
The percentage of Centerville population of males do not commute to work is 16%.
Given that, in Centerville, 45% of the population is female, and 60% of the population commutes to work daily.
What is the percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
The total Centerville population, 21% are females who commute to work daily.
Now, the percentage of Centerville population of males commute to work = 60 - 21
= 39%
Total percentage of male = 100 - 45 =55
The percentage of Centerville population of males do not commute to work
= 55 - 39 = 16%
Therefore, the percentage of Centerville population of males do not commute to work is 16%.
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