Answer:
2x - 1
Step-by-step explanation:
that is the procedure above
A scientist claims that 4% of viruses are airborne. If the scientist is accurate, what is the probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%
Answer:
The probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%=0.00427
Step-by-step explanation:
We are given that
[tex]\mu_{\hat{p}}=p=4%=0.04[/tex]
n=662
We have to find the probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%.
q=1-p=1-0.04=0.96
[tex]\sigma_{\hat{p}}=\sqrt{p(1-p)/n}[/tex]
[tex]\sigma_{\hat{p}}=\sqrt{\frac{0.04(1-0.04)}{662}}[/tex]
[tex]\sigma_{\hat{p}}=0.0076[/tex]
Now,
[tex]P(\hat{p}>0.06)=1-P(\hat{p}<0.06)[/tex]
[tex]=1-P(\frac{\hat{p}-\mu_{\hat{p}}}{\sigma_{\hat{p}}}<\frac{0.06-0.04}{0.0076})[/tex]
[tex]=1-P(Z<2.63)[/tex]
[tex]=1-0.99573[/tex]
[tex]P(\hat{p}>0.06)=0.00427[/tex]
Hence, the probability that the proportion of airborne viruses in a sample of 662 viruses would be greater than 6%=0.00427
Please help it’s a test and I can’t get logged out
Answer:
the anwer is B ( i mean second option)
And you can try it
you will find ;
[tex]y = \frac{x}{3} - 1[/tex]
HAVE A NİCE DAY
Step-by-step explanation:
GREETİNGS FROM TURKEY ツ
Approximate 5.7255 to the nearest thousand
round 5.7255 to thousands place
place after thousands place (5) rounds up the 5 before it
therefore 5.726 ur ans
MARK above ANS as branliest
Need help
Identify the domain of the function shown in the graph
Answer:
B
Step-by-step explanation:
Find the missing term in the pattern.
Answer:
1/108
Step-by-step explanation:
each denominator triples, so just triple 36.
Answer:
1/108
Step-by-step explanation:
This is a geometric sequence, where each number is 3 times the previous. Normally you would use the actual formula, however you're just asked to pick up on a pattern so just multiplying the second number by 3 works.
A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer. What is the 99% confidence interval for the difference of the two proportions
Answer:
[tex]Z=-2.87[/tex]
Step-by-step explanation:
From the question we are told that:
Probability on women
[tex]P(W)=65 / 500[/tex]
[tex]P(W) = 0.13[/tex]
Probability on women
[tex]P(M)=133 / 700[/tex]
[tex]P(M) = 0.19[/tex]
Confidence Interval [tex]CI=99\%[/tex]
Generally the equation for momentum is mathematically given by
[tex]Z = \frac{( P(W) - P(M) )}{\sqrt{(\frac{ \sigma_1 * \sigma_2 }{(1/n1 + 1/n2)}}})[/tex]
Where
[tex]\sigma_1=(x_1+x_2)(n_1+n_2)[/tex]
[tex]\sigma_1=\frac{( 65 + 133 )}{ ( 500 + 700 )}[/tex]
[tex]\sigma_1=0.165[/tex]
And
[tex]\sigma_2=1 - \sigma = 0.835[/tex]
Therefore
[tex]Z = \frac{( 0.13 - 0.19)}{\sqrt{\frac{( 0.165 * 0.835}{ (500 + 700) )}}}[/tex]
[tex]Z=-2.87[/tex]
y.y3 write without exponts
Answer:
Y x Y x Y x Y
Step-by-step explanation:
The exponent tells how many times that number is multiplied.
So, x^3 is the same as multiplying x 3 times.
19. Divide 6/13 by 6/12.
A. 12/13
B. 13/12
c. 1/12
D.9/16
Answer:
12/13 is the answer
Step-by-step explanation:
Suppose f(x)=x^2 and g(x)=(1/2x)^2. Which statement best compares the graph of g(x) with the graph of f(x)?
Answer:
"A"
Step-by-step explanation:
Rewrite in simplest terms: (9x+5)-(-2x+10)(9x+5)−(−2x+10) . Someone please help me
Answer:
18x^(2)-69x-55
Step-by-step explanation:
dont have the time to rn
Answer:
[tex]{ \bf{(9x + 5) - ( - 2x + 10)(9x + 5) - ( - 2x + 10)}} \\ = { \tt{(9x + 5) - ( - {18x}^{2} + 80x + 50) - ( - 2x + 10)}} \\ = { \tt{(9 - 80 + 2)x + {18x}^{2} + 5 - 50 - 10 }} \\ = { \tt{ {18x}^{2} - 69x - 55}}[/tex]
find the degree of polynomial of the following
[tex]3x^{3} - x ^{5} [/tex]
Answer:
the degree is the value of the biggest exponent = 5 (fifth degree)
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Since the highest power of x is 5, the degree of the polynomial x
3
−9x+3x
5
is 5.
2 starting terms of a diginacci sequence when the 2021st term is 11
Hello,
In a diginacci sequence, all term is the sum off digits of the 2 terms before.
Answer: 2,3
[tex]u_{-2}=1\\u_{-1}=1\\u_0=digit(u_{-2})+digit(u_{-1})=1+1=2\\u_1=1+2=3\\u_2=2+3=5\\u_3=3+5=8\\u_4=5+8=13\\u_5=8+1+3=12\\...\\u_{18}=11\\u_{19}=8\\u_{20}=10\\u_{21}=9\\u_{22}=10\\u_{23}=10\\u_{24}=2**********\\u_{25}=3**********\\2020=24*84+4\\u_{2020}=u_{4}=13\\[/tex]
We must begin with 13 , 10
Proof:
Dim a As Long, b As Long, c As Long, nb As Integer
a = 13
b = 10
nb = 1
Print nb, a
While nb < 2021
nb = nb + 1
c = somme&(a, b)
a = b
b = c
' Print nb, a
Wend
Print nb, a
End
Function somme& (a1 As Long, b1 As Long)
Dim strA As String, strB As String, n As Long
strA = LTrim$(Str$(a1))
strB = LTrim$(Str$(b1))
n = 0
For i = 1 To Len(strA)
n = n + Val(Mid$(strA, i, 1))
Next i
For i = 1 To Len(strB)
n = n + Val(Mid$(strB, i, 1))
Next i
somme& = n
End Function
Slope intercept
6times+5y=15
Answer:
y= (-6/5)x+3
Step-by-step explanation:
6x+5y=15
Divide everything by 5
(6/5)x + y = 3
Move (6/5)x to the other side of the = sign by subtracting
y= (-6/5)x + 3
That's your answer!
Hope it helps!
The dress store is having a sale where all merchandise is 1/4 off. A woman buys $48 of merchandise at a sale price.
Answer:$36 depending on what question is i just assuming how much she has to pay
Step-by-step explanation:
48 divded by 4 is 12. $48-$12 is $36. The $12 is the 1/4 discount.
What is y=-2(x+3)^2+2
Answer:
y = -2(x + 3)² + 2
y = 2{ -(x + 3)²+ 1}
y = 2{ -(x² + 6x + 9) + 1}
y = 2{ -x² - 6x - 9 + 1}
y = 2{ -x² - 6x - 8 }
y = -2 { x² + 6x + 8}
OR
y = -2{(x + 4)(x + 2)}
in an examination 30% of the candidates failed in English and 35% failed in general studies and 27% failed in both subjects.if310 candidates passed in both how many candidates appeared in the examination
Answer:
500
Step-by-step explanation:
11 George will cover part of a floor with tiles.
The part of the floor is in the shape of a triangle as shown.
305 cm
371.5 cm
George buys tiles in packs.
Each pack covers 1 m2 and costs £39.95
The tiles can be cut and joined.
George gets off the cost of the packs of tiles.
Work out the lowest cost of the tiles for George.
Answer:
484ed+36_67'ten 355+(36)8wwhThe lowest cost of the tiles for George, for coring the considered triangular floor with the tiles of rate £39.95 per meter sq. is £226.3 approximately.
How can we interpret measurement of something?Remember that volume, area, length etc all are measured relatively.
If you are 1.7 meters tall, then you're height is measured relative to meters. This is called unit of the measurement. It means that if we collect 1 meter and 0.7 meters too,they together will be equally tall as you.
Similarly, if we say that a triangle has area of 40 square inches, then it means that its area is equal to 40 squares of 1 inch sides.
In the same way, volume is measured usually relative to unit cubes. Like how many unit cubes (cubes with 1 unit length of their sides) can be fitted (without any overlap or gap, but can be sliced to make them fit inside) inside the considered shape.
For this case, the tiles we will use will have the same area as the area of the triangular floor.
The triangular floor is of height and base of size 305 cm and 371.5 cm
Since the price rate of tiles is in meter sq, so it would be better if we convert the legths specified in meters.
100 cm = 1 m
1 cm = 1/100 m
305 cm = 305/100 = 3.05 m
371.5 cm = 3.715 m
The area of a triangle is half of the product of its base and height.
Thus, we get:
Area of tiles that will be used = area of the considered triangular floor =
[tex]\dfrac{3.05 \times 3.715}{2} \approx 5.665 \: \rm m^2[/tex]
Since 1 sq. m cost £39.95, therefore, 5.665 sq. meters will cost [tex]5.665 \times 39.95 \approx 226.3 \: \rm euros[/tex]
Thus, the lowest cost of the tiles for George, for coring the considered triangular floor with the tiles of rate £39.95 per meter sq. is £226.3 approximately.
Learn more about interpretation of measurement here: https://brainly.com/question/3424879
Can I get the answer for those
Answer:
1) 5.64
2) 17.321
1) [tex]\frac{21}{28}[/tex]
2) [tex]\frac{16}{34}[/tex]
3) [tex]\frac{28}{35}[/tex]
4) [tex]\frac{32}{24}[/tex]
Step-by-step explanation:
SOH - CAH - TOA
Sin = [tex]\frac{O}{H}[/tex] Cos = [tex]\frac{A}{H}[/tex] Tan = [tex]\frac{O}{A}[/tex]
O = opposite, A = adjacent, H = hypotenuse
First two, use Pythagorean Theorem
If you want to calculate the angle on the last 4, use inverse of function and put in the ratio.
For example :
1) Tan Z = [tex]\frac{21}{28}[/tex]
[tex]Tan^{-1}[/tex] ( [tex]\frac{21}{28}[/tex])
Z = 36.9°
a pie chart is divided into four sectors in fig. 12.42. Each sector represents a percentage of the whole. The two larger sectors are equal and each represents x%. What is the angle subtended by one of those larger sectors ?
Answer:
Angle formed by the sector measuring x% will be 126°.
Step-by-step explanation:
Since, sum of all sectors formed in a circle is 100%.
By adding the measures of all the sectors,
x + x + 21 + 9 = 100
2x + 30 = 100
2x = 70
x = 35%
Now we know sum of all the central angles formed at the center of a circle = 360°
Therefore, angle formed by x% = 360° × 35%
= [tex]\frac{360\times 35}{100}[/tex]
= 126°
What iis 155 plus 33 minus 4 divided by 2
Answer:
155+33-4÷2155+33-2188-2186hope it is helpful to you
The simplified form of statement 155 plus 33 minus 4 divided by 2 is
186.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
The given statement is 155 plus 33 minus 4 divided by 2 which can be numerically expressed as,
155 + 33 - 4 ÷ 2.
PEMDAS rule states the correct order of simplifying an expression is as follows, Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.
155 + 33 - 2.
= 188 - 2.
= 186.
learn more about numerical expressions here :
https://brainly.com/question/29199574
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Solve the given system by the substitution method.
3x + y = 14
7x - 4y = 20
Answer:
(4, 2 )
Step-by-step explanation:
Given the 2 equations
3x + y = 14 → (1)
7x - 4y = 20 → (2)
Rearrange (1) making y the subject by subtracting 3x from both sides
y = 14 - 3x → (3)
Substitute y = 14 - 3x into (2)
7x - 4(14 - 3x) = 20 ← distribute parenthesis and simplify left side
7x - 56 + 12x = 20
19x - 56 = 20 ( add 56 to both sides )
19x = 76 ( divide both sides by 19 )
x = 4
Substitute x = 4 into (3) for corresponding value of y
y = 14 - 3(4) = 14 - 12 = 2
solution is (4, 2 )
Answer:
[tex]3x + y = 14 \\ y = 14 - 3x \\ substitute \: y \: into \: equation \: 2\\ 7x - 4(14 - 3x) = 20 \\ 7x - 56 + 12x = 20 \\ 19x = 76 \\ x = \frac{76}{19} =4 \\ y = 14 - 3( 4 ) = 2 \\ [/tex]
Help ASAP!! A triangle has side lengths of 11in, 15in, and 20in. Find the angle measures of the triangle. Round decimal answers to the nearest tenth. Someone help pls.
Answer:
<A = 47.7°
<B = 99.4°
<C = 32.9
Step-by-step explanation:
When given the measurements of all three sides, you can calculate the angles using the Cosine Law.
c² = a² + b² - 2ab cos C
(based on Pythagorean Theorem)
If we say: a = 15
b = 20
c = 11
11² = 15² + 20² - 2(15)(20) cos C
121 = 625 - 2(15)(20) cos C
121 = 625 - 600 cos C
⁻504 = ⁻600 cos C
cos⁻¹ (504 ÷ 600) = C
< C = 32.9°
a² = b² + c² - 2bc cos A
15² = 20² + 11² - 2(20)(11) cos A
225 = 521 - 2(20)(11) cos A
225 = 521 - 440 cos A
⁻296 = ⁻440 cos A
cos⁻¹ (296 ÷ 440) = A
<A = 47.7°
Then, since we know the sum of all three angles of a triangle equals 180°:
180° - 32.9° - 47.7° = 99.4°
<B = 99.4°
38. The ______ is also not convenient to use because the process of working for it produces large numbers due to squaring. 39. The ______ is the most reliable measure of variability. 40. The lesser the variability, the ______ is the mean.
Answer:
This Question Is From The Novel Of The Fantastic Mr.Fox
Q. Boggis , Bunce and Bean are Offering a reward for Mr.Fox , They are tired of Losing Chickens Geese and Cider , Create a Description And Drawing of Mr.Fox to allow him to be captured , use the word bank....
________________________________
Swift | Slay | Ginger | Rough | Fast
Thief. | Clever | Fur | Tail | Wife | Night
Cunning | Bushy | wiry | bush | Den | trick
________________________________
In a race competition the probability that Harry wins is 0.4, the probability that Krish wins is 0.2 and the probability that Jonny wins is 0.3.
Find the probability that Harry and Jonny wins
Harry or Krish or Jonny wins
Someone else wins.
Answer:
jonny is the winner.
Step-by-step explanation:
No. of wins harry has = 0.4
No. of wins krish has = 0.2
No. of wins jonny has = 0.3
To find the prbability of harry and jonny = 0.4 + 0.3
= 0.7
Now to see who wins we have to add krish's wins and harry's win, because harry has the greatest number of wins.
krish = 0.2
harry = 0.4
= 0.6
now we have all three's score, so we will now see which is the greatest number.
krish= 0.6
harry = 0.4
jonny = 0.7
The greatest number is 0.7.
Hence, jonny is the winner!
HOPE IT HELPS PLZ MARK ME BRAINLIEST :D
Find the domain.
p(x) = x^2+ 2
Answer:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
( − ∞ , ∞ )
Set-Builder Notation:
{ x | x ∈ R }
Step-by-step explanation:
hope that helps bigger terms
8/9 - 1/3
Very easy question for 10 pts
Answer:
answer is 5/9
Step-by-step explanation:
Answer:
The answer is 5/9 or 0.555 (the 5 is repeated)
15/4 : 5/12 =
tolong dijawab ya :)
Answer:
3/1 : 1/3
Step-by-step explanation:
Just simplify it.
When f(x) is divided by x + 4 the quotient is x2+5x−3+2x+4. What is f(−4)?
I need help on this question someone please help
Answer:
x > -2
Step-by-step explanation:
the graph stops at x = -2 and doesn't move further down
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.7 millimeters and a standard deviation of 0.08 millimeters. Find the two diameters that separate the top 3% and the bottom 3%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
Answer:
The diameter that separates the top 3% is of 5.85 millimeters, and the one which separates the bottom 3% is of 5.55 millimeters.
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.
Mean of 5.7 millimeters and a standard deviation of 0.08 millimeters.
This means that [tex]\mu = 5.7, \sigma = 0.08[/tex]
Top 3%
The 100 - 3 = 97th percentile, which is X when Z has a p-value of 0.97, so X when Z = 1.88.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.88 = \frac{X - 5.7}{0.08}[/tex]
[tex]X - 5.7 = 1.88*0.08[/tex]
[tex]X = 5.85[/tex]
Bottom 3%
The 3rd percentile, which is X when Z has a p-value of 0.03, so X when Z = -1.88.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.88 = \frac{X - 5.7}{0.08}[/tex]
[tex]X - 5.7 = -1.88*0.08[/tex]
[tex]X = 5.55[/tex]
The diameter that separates the top 3% is of 5.85 millimeters, and the one which separates the bottom 3% is of 5.55 millimeters.