Answer:
The probability is [tex]P(R) = 0.0583 [/tex]
Step-by-step explanation:
From the question we are told that
The probability that selected adults are affected by virus is p = 0.004
The probability that adults are not affected by virus is [tex]q= 1- p = 1-0.004 = 0.996[/tex]
The sample size is n = 15
Generally from the question we are told that
The probability that the combined sample tests positive is equal to the probability that at least one person test positive for the virus
So
The probability that the combined sample tests positive for the virus is equal to
1- the probability that non of the adults selected tested positive for the virus
Generally the probability that non of the adults selected tested positive for the virus is
[tex]P(k) = q^n[/tex]
=> [tex]P(k) = q^{15}[/tex]
=> [tex]P(k) = 0.996^{15}[/tex]
=> [tex]P(k) = 0.9417 [/tex]
The probability that the combined sample tests positive for the virus is mathematically represented as
[tex]P(R) = 1 - P(k)[/tex]
=> [tex]P(R) = 1 - 0.9417 [/tex]
=> [tex]P(R) = 0.0583 [/tex]
After jogging 4 miles, a runner increases his speed to 6 miles per hour which equation models the total number of miles, d, that he has traveled aftert
hours at the fastest speed?
O d = 4t - 6
O d = 4t + 6
O d = 6 - 4
d = 6 + 4
Answer: 11
Step-by-step explanation:
(Score for Question 2: __ of 3 points)
2. Solve each given equation and show your work. Tell whether each equation has one solution, an infinite
number of solutions, or no solution. Explain your answers,
(a)
2x - 4(x - 1) - 2 + 4x
(b) 25 - X - 15 - (3x + 10)
4x - 2x + 2x + 5(x - x)
(c)
Answer:
Which value of b would make x²+bx−20 factorable?
Answer:
x^2-bx-20
Step-by-step explanation:
"19" will be the value which make the equation "[tex]x^2+bx-20[/tex]" factorable.
The given equation is
→ [tex]x^2+bx-20[/tex]
By putting "19" in the above equation, we can solve the equation.
→ [tex]x^2+19x-20[/tex]
By applying factorization, we get
→ [tex]x^2+20x-x-20[/tex]
By taking common, we get
→ [tex]x(x+20)-1(x+20)[/tex]
→ [tex](x+20)(x-1)[/tex]
Thus the above answer is correct.
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On average, indoor cats live to 16 years old with a standard deviation of 2.5 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N([],[])
b. Find the probability that an indoor cat dies when it is between 17.2 and 19.6 years old.[]
c. The middle 20% of indoor cats' age of death lies between what two numbers?
Low: [] years
High: [] years
Answer:
(a) N (16, 2.5²)
(b) 0.241
(c) Low: 15.4 years
High: 16.6 years
Step-by-step explanation:
The random variable X is defined as the age at death of a randomly selected indoor cat.
(a)
The distribution of X is:
[tex]X\sim N(\mu = 16, \sigma^{2}=2.5^{2})[/tex]
(b)
Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:
[tex]P(17.2<X<19.6)=P(\frac{17.2-16}{2.5}<\frac{X-\mu}{\sigma}<\frac{19.6-16}{2.5})[/tex]
[tex]=P(0.48<Z<1.44)\\=P(Z<1.44)-P(Z<0.48)\\=0.92507-0.68439\\=0.24068\\\approx 0.241[/tex]
Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.
(c)
Compute the two numbers within which 20% of indoor cats' age of death lies as follows:
[tex]P(x_{1}<X<x_{2})=0.20\\\\\Rightarrow P(-z<Z<z)=0.20\\\\P(Z<z)-P(Z<-z)=0.20\\\\P(Z<z)-[1-P(Z<z)]=0.20\\\\2P(Z<z)-1=0.20\\\\2P(Z<z)=1.20\\\\P(Z<z)=0.60[/tex]
The corresponding value of z is, 0.25.
Compute the value of x₁ and x₂ as follows:
[tex]z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6[/tex] [tex]z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4[/tex]
Low: 15.4 years
High: 16.6 years
Find the missing number! Super easy, just don't feel like doing it, plus busy with other work.
Answer:
y = 1.37
Step-by-step explanation:
30y = 41.10
divide both sides of the equation by 30
30y/30 = 41.10/30
y = 41.10/30
y = 1.37
Kim writes an estimate for the number 0.00436 as 4x10^3. Explain why this cannot be correct
Answer:
4x10^-3
Step-by-step explanation:
because it was in a deciaml, it has to be negative
The given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].
It is given that Kim writes an estimate for number 0.00436 as 4 × 10 ³.
We have to find whether it is correct or not and why ?
What do you mean by decimal fraction ?
A decimal fraction is a number in which the denominator is a multiple of 10 i.e., 10, 100, 1000. etc.
As per the question ;
The decimal number given is 0.00436.
To represent the number in the form of power of 10 , we need to move the decimal 3 places towards right.
and
We know if we move decimal 3 places towards right we need to multiply the resulted number by 10 to the power -3 , i.e., [tex]10^{-3}[/tex]
So,
The correct estimate will be ;
= 4.36 × [tex]10^{-3}[/tex]
Thus , the given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].
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what is the slope of the line -3 -1/3
Answer:
negative slope
Step-by-step explanation:
What is T?
3/8=t-1/8
Answer:
t = 0.5
Step-by-step explanation:
sence you just have to get rid of -1/8 you just have to inverse istead of -1/8 you do +1/8 to the other side and by doing that you are goving to leave t open
Given the formula for the arithmetic sequence, an = 6+ (n - 1)3, give the first 4 terms of the
sequence.
19
find the following:
[tex]a(n) = 6 + 3(n - 1)[/tex]
[tex]a(1) = 6 + 3(1 - 1)[/tex]
[tex]a(1) = 6 + 3 \times 0[/tex]
[tex]a(1) = 6 + 0[/tex]
[tex]a(1) = 6[/tex]
_________________________________
[tex]a(2) = 6 + 3(2 - 1)[/tex]
[tex]a(2) = 6 + 3 \times 1[/tex]
[tex]a(2) = 6 + 3 [/tex]
[tex]a(2) = 9[/tex]
_________________________________
[tex]a(3) = 6 + 3(3 - 1)[/tex]
[tex]a(3) = 6 + 3 \times 2[/tex]
[tex]a(3) = 6 + 6[/tex]
[tex]a(3) = 12[/tex]
_________________________________
[tex]a(4) = 6 + 3(4 - 1)[/tex]
[tex]a(4) = 6 + 3 \times 3[/tex]
[tex]a(4) = 6 + 9[/tex]
[tex]a(4) = 15[/tex]
given M is the midpoint of RS . RM=x+3 and MS=2x-1 . x=? and RM= ?
Answers:
x = 4
RM = 7
======================================================
Explanation:
The midpoint cuts the larger segment RS in two equal halves, so RM = MS
RM = MS
x+3 = 2x-1
3+1 = 2x-x
4 = x
x = 4
RM = x+3
RM = 4+3
RM = 7
MS = 2x-1
MS = 2*4-1
MS = 7
Both RM and MS are 7 units long, which confirms our answers.
RS = RM+MS
RS = 7+7
RS = 14
Please show all work
Answer:
w = 19/15 or 1 4/15
Step-by-step explanation:
11/15 = w-(8/15) // - w-(8/15)
11/15-w+8/15 = 0
19/15-w = 0 // - 19/15
-w = -19/15 // * -1
w = 19/15
w = 19/15
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]
[tex]\bold{\frac{11}{15} =w-\frac{8}{15}}~=~\bold{w-\frac{8}{15}=\frac{11}{15} }[/tex][tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]
[tex]\bold{w=\frac{11+8}{15}~=~\frac{19}{15}}[/tex]______________________________
[tex]\bold{Answers:}[/tex]
[tex]Improper~Fraction~Form:\bold{w=\frac{19}{15}}[/tex][tex]Mixed~Number~Form:\bold{w=1\frac{4}{15}}[/tex][tex]Decimal~Form:\bold{w=1.266666667}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]
If the figure below is rotated a certain number of degrees,
the transformed figure will coincide with overlap) the
original.
Which of these rotations will not result in the transformed
figure coinciding with the original?
288°
90°
72°
-72°
In the first quadrant, you start at (5,3) and move 2 units up What point will you end up on?
Answer: 5,5 have a great day
The translated point (5, 5)
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Given:
In the first quadrant, you start at (5,3) and move 2 units up.
Here, up means positive changes in the second value of coordinates
Translation:
(x, y) → (x, y +2)
(5,3) → (5, 3 +2)
(5,3) → (5, 5)
Therefore, the point is (5, 5)
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Find the slope of the line passing through the points (2, 2) and (2,-4).
Answer:
The slope is (DNE), undefined.
Step-by-step explanation:
m-18=n
This makes no sense this is my 3rd time asking this question
Answer:
m=18+n
Step-by-step explanation:
m + -18 = n simplify
-18 + m = n record the terms
-18 + 18 + m = 18 + n solve
Combine like terms: -18 + 18 = 0, 0 + m = 18 + n, m = 18 + n
Final answer: m = 18 + n
Answer:
IDK but here's what I have found.....
Step-by-step explanation:
Simplifying
m + -18 = n
Reorder the terms:
-18 + m = n
Solving
-18 + m = n
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + m = 18 + n
Combine like terms: -18 + 18 = 0
0 + m = 18 + n
m = 18 + n
Simplifying
m = 18 + n
someone help me and explain this is really confusing me plzz I'll brainlist u !:)
Answer:
Ok so 25$ for an adult. there are x adults so x times 25 is equals to $25x
13 dollars per child and y children so $13y
$20 for each pensioner and p pensioners so $20p
when adding these notice that none of the variable(latters) are the same so n adding will take place leaving the answer
$25x + $13y + $20p
a) $25x
b) $13y
c) $20p
d) $25x + $13y + $20p
Answer:
a) $25x, this is because if there are x number of adults coming, and $25 is the per adult charge, then irrespective of the number of adults coming this will be the equation. Eg : x = 5 So, $25 * 5 = $125
b) $13y, this is because if there are y number of children coming, and $13 is the per child charge, then irrespective of the number of children coming this will be the equation. Eg : y = 4 So, $13 * 4 = $52
c) $20p , this is because if there are x number of pensioners coming, and $20 is the per pensioner charge, then irrespective of the number of pensioner coming this will be the equation. Eg : p = 2 So, $20 * 2 = $40
d) so, the total will be, = $25x + $13y + $20p
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Each of the four shapes represents a positive whole number. The sum of the
shapes in each row and column is displayed at the end of each row and
column. Using this information, determine the numerical value of each shape.
{
23
16
24
15
19
20
23
16
Answer:
The pentagon shape = 8
The star shape = 6
The curl shape = 3
The wave pattern shape = 5
Step-by-step explanation:
Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z
Horizontally, we have;
w + 2·x + y = 23.....(1)
2·y + 2·z = 16...........(2)
2·z + w + x = 24.. ..(3)
3·y + x = 15..............(4)
Vertically, we have;
2·x + z + y = 20.......(5)
2·y + w+ z = 19........(6)
From the above equations, we have;
From equation (4), we have x = 15 - 3·y
From equation (2), we have z = 8 - y
From equation (1), we have w = 23 - (2·(15 - 3·y) + y)
∴ w = 23 - 30 + 6·y - y = 5·y - 7
w = 5·y - 7
Substituting the above values for x, and z i equation (5) gives;
2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20
30 - 6·y + 8 - y + y = 20
6·y = 30 + 8 - 20 = 18
y = 18/6 = 3
y = 3
w = 5·y - 7 = 5×3 - 7 = 8
w = 8
z = 8 - y = 8 - 3 = 5
z = 5
x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6
x = 6
Therefore, we have;
w = The pentagon shape =8
x = The star shape =6
y = The curl shape = 3, and
z = The wave pattern shape =5
The number of each of the four given shapes filled in the rows and columns are;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
From the diagram, we see four shapes and so let us identify them with letters;
Inscribed pentagon shape = a
Star shape = b
Spiral shape = c
Waves inside rectangle shape = d
For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;
a + 2b + c = 23 .....(eq 1)
For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;
2c + 2d = 16 ......( eq 2)
For the third row, we see 1 star, one inscribed pentagon and 2 Waves inside rectangle shape. Thus;
a + b + 2d = 24 ....(eq 3)
For the fourth row, we see 3 spiral shapes and one star shape. Thus;
b + 3c = 15 ....(eq 4)
Looking at the columns, we see that;
First column;
2c + a + d = 19 ....(eq 5)
Second column, we have;
2b + c + d = 20 .....(eq 6)
From eq 4; b = 15 - 3c
From eq 2, we have; d = 8 - c
Putting them in eq 1 gives;
a + 2(15 - 3c) + c = 23
a + 30 - 6c + c = 23
a = 5c - 7
Putting d = 8 - c and a = 5c - 7 into eq 5 gives;
2c + 5c - 7 + 8 - c = 19
6c + 1 = 19
6c = 18
c = 3
Put 3 for c in a = 5c - 7
a = 5(3) - 7
a = 8
Put 3 for c in b = 15 - 3c
b = 15 - 3(3)
b = 6
Put 3 for c in d = 8 - c
d = 8 - 3
d = 5
Thus, we have;
8 inscribed pentagon shape
6 star shapes
3 spiral shapes
5 Waves inside rectangle shape
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HEY CAN ANYONE PLS ANSWER DIS!!!!!!!!
Answer: 1,045,440,000
Explanation:
1 mile = 5280 feet
55 x 5280 = 290400
290400 x 60 = 17424000
17424000 x 60 = 1045440000
3 words. Get. A. Caluculator.
Lol I hope this helps!
Answer:
80.67 ft/secStep-by-step explanation:
Mile to feet
1 mi = 5280 feetHour to seconds
1 hr = 60 min = 60*60 sec =3600 secSpeed of the car
55 mi/hr = 55*5280 ft / 3600 sec = 80.67 ft/sec rounded to two decimal placesStephanie delivers papers for 2 different paper routes. On one route, she delivers 176 papers. On the second route, she delivers 43 papers. About how many papers does she deliver total? Choose the best estimate. 200 papers 210 papers 220 papers 230 papers
Answer:
Step-by-step explanation:
220 is the answer
176 + 43 = 219
219 is almost 220
55 = 18 +0.004x
What is x
Answer:
Your answer is: x = 9250
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
Which ordered pair is a solution of the equation? y= 4x+9
A: Only (−3,3)
B: Only (−2,2)
C: Both (-3,3) and (-2,2)
D: Neither
Answer:
It's D, neither
Step-by-step explanation:
urgent! please help!
Answer: (0,3)
Step-by-step explanation: The y-intercept is where x is 0.
In 2010, the continent of South America had a population of 395, 280, 204 Which of the following is the closest estimate of this number?
O 3 x 10^8
O 4 x 10^7
O 4 x 10^8
O 4x 10^9
Given:
The population of continent of South America in 2010 is 395, 280, 204.
To find:
The closest estimate of this number.
Solution:
We have,
[tex]Population = 395, 280, 204[/tex]
The approximate value of this number is
[tex]Population \approx 400, 000, 000[/tex]
The scientific form of this value is
[tex]Population = 4\times 10^8[/tex]
Therefore, the correct option is C.
The Smith family has a circular garden with a diameter of 22 feet. They cover the garden with mulch. The cost of the mulch is $1.25 per square foot. To the nearest dollar, how much will it cost to cover the garden with mulch?
Answer: 27.5
Step-by-step explanation:
Answer:
it will cost $475
What is 70,681 is word form.
Answer:
seventy and six hundred eighty-one thousandths
Answer:
seventy thousand six hundred eighty one.
Step-by-step explanation: that is your answer
Plz answer I need help my teacher doesn't explain things good
8n +7(2n-4)=4(7 + 3n) - 6
Answer:
n=5 hope this helps
Step-by-step explanation:
You spent $88 buying two shirts at Macy's along with two scarves that cost $30.00. If s is the cost of the shirt, and the equation representing the purchase is: 2s + 30.00 = 88. What is the cost of the shirt?
Answer:
58
Step-by-step explanation:
Answer:
s = 29
Step-by-step explanation:
Let's solve your equation step-by-step.
2s+30=88
Step 1: Subtract 30 from both sides.
2s+30−30=88−30
2s=58
Step 2: Divide both sides by 2.
2s
2
=
58
2
s=29
Hope this helps!
(s means shirt)
Explain why when you reflect a point across the line y=x, the x−coordinate and the y−coordinate change places, and when you reflect a point across the line y = −x, the x−coordinate and the y−coordinate change places and their signs are changed.
Answer:
The (x,y) is like a mirror reflecting across the plane. When it moves it goes opposite (y,x). We move over the y axis and we get a negitive because of the negative cordinate plane.
Step-by-step explanation:
simplify
45÷(-3)
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
-15
Step-by-step explanation:
45 divided by negative 3. All you have to do is make it into multiplication. -3 × -15 = 45