Answer:
The expected number of tests necessary for the entire group of 304 people is 180.0325
Step-by-step explanation:
Probability of person being positive = p = 0.04
Probability of person being negative = q = 1-0.04=0.96
Number of people in each group = 19
We will use binomial over here
Probability of no test positive :
[tex]P(x=0) = ^{19}C_0 (0.04)^0 (0.96)^{19} =0.460419201958[/tex]
P( at least one tests positive) = 1-P( no one tests positive)= 1-0.460419201958= 0.539580798042
Expected number of tests for each group = 1(0.460419201958)+20(0.539580798042) = 11.2520351628
Number of groups =[tex]\frac{\text{Total population}}{\text{no. of people in each group}}=\frac{304}{19}=16[/tex]
Expected number of tests necessary for the entire group of 304 people:
=[tex]\text{Expected number of tests for each group} \times \text{No. of groups}[/tex]
=[tex]11.2520351628 \times 16[/tex]
=180.0325
Hence The expected number of tests necessary for the entire group of 304 people is 180.0325
What is the slope of a line parallel to the line whose equation is 2x + y = 3. Fully
reduce your answer.
Answer:
m= -2
Step-by-step explanation:
Isolate the y into slope- intercept form 2x + y = 3 -> y = -2x+3
Parallel lines have the same slope, so the slope is -2.
The slope of a line parallel to the line whose equation is 2x + y = 3 is -2.
Given that, the equation of a line is 2x + y = 3.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope of a line parallel to given line is m1=m2.
The given equation can be rewritten as y=3-2x
The standard form of an equation of a line is y=mx+c
Now, compare y=3-2x with y=mx+c, we get
Slope (m) = -2
So, slope of parallel to the line is m1=m2= -2
Therefore, the slope of a line parallel to the line whose equation is 2x + y = 3 is -2.
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A circular crop field has an irrigation system in which a pipe, with one end attached to a tower at the center of the field, turns continuously to deliver water. The horizontal distance, in meters, from the tip of the pipe to the farmhouse is represented by y = Equals 400 sine (StartFraction pi Over 8 EndFraction x + pi) + 500, where x represents time in hours.
What does the amplitude of this function represent?
A.the length of the pipe
B.the distance between the tower and the farmhouse
C.the time it takes for the pipe to complete one full circle
D.the difference between the maximum and minimum distances from the tip of the pipe to the farmhouse
Answer:
It A: the length of the pipe
Step-by-step explanation:
1
kg = kg to g. help
g
Answer:
100 grams
Step-by-step explanation:
Formala: multiply the mass value by 100
Answer:
1,000g
Step-by-step explanation:
1kg is equal to 1,000 grams, so just convert it.
1 times 1,000 = 1,000
A single reese cup cost $.25 each, you bought 5 and the sales tax is 5%. How much did you spend?
An acre is a unit of measure for area. One acre ie equal to 43,560 square feet. Often, an acre is a rectangle that measures 660 feet by 66 feet. However, the length and width of the rectangle can vary. An acre can actually have any shape, as long as it measures exactly 43,560 square feet. Rachel purchased 1/5 acre of land in the shape of an isosceles triangle. What is the area of the land Rachel purchased?
Answer:
area of land purchased =247
The area of the land Rachel purchased is approximately 10,055.64 square feet.
How to calculate the area?We can start by finding the area of one acre in square feet, which is given as 43,560 square feet.
To find the area of 1/5 acre, we can divide 43,560 by 5, which gives us 8,712 square feet.
Since Rachel's land is in the shape of an isosceles triangle, we need to find the base and height of the triangle in order to calculate its area. Let's call the length of the base "b" and the height "h".
We know that the area of a triangle is given by the formula:
Area = (1/2) x base x height
So, we can rearrange this formula to solve for the height:
height = 2 x Area / base
Now we can substitute in the values we know:
Area = 8,712 square feet
base = unknown
height = unknown
We also know that the triangle is isosceles, which means that two of the sides are equal in length. Let's call the length of one of these sides "s". Then the length of the base can be expressed in terms of s as:
base = 2s
We can use the Pythagorean theorem to find the height in terms of s:
s² + (h)² = (2s)²
s² + h² = 4s²
h² = 3s²
h = s x √(3)
Now we can substitute this expression for the height in terms of s into the formula we derived for the area:
Area = (1/2) x base x height
Area = (1/2) x 2s x s x √(3)
Area = s² x √(3)
We know that the area of the triangle is 1/5 of an acre or 8,712 square feet, so we can set this equal to the expression we just derived for the area and solve for s:
s² x √(3) = 8,712
s² = 8,712 / √(3)
s = √(8,712 / √(3))
Now that we know the length of one of the equal sides of the isosceles triangle, we can find the length of the base by multiplying by 2:
base = 2s
base = 2 x √(8,712 / √(3))
Finally, we can substitute in the values we just found for the base and height into the formula for the area of the triangle:
Area = (1/2) x base x height
Area = (1/2) x 2 x √(8,712 / √(3)) x √(3) x √(8,712 / √(3))
Area = 2 x 8,712 / √(3)
Area = 17,424 / √(3)
Therefore, the area of the land Rachel purchased is approximately 10,055.64 square feet.
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giving brainliest ! :))
Answer:
I did this before ok gh and jk is 5
Step-by-step explanation:
Are points B, J, and C collinear or noncollinear?
Stephen says that the numbers 38 and 40 are relatively prime. Explain why he is incorrect in making this statement. (make a good explanation plz)
Answer:
He is incorrect in this statement because 38 and 40 both have factors, other than 1 x itself. Prime numbers are numbers the only have 1 factor pair, and that is 1 x itself. Factors are the numbers you multiply to get the end result, and an example is 10x4=40. The factors of 40 are 8x5, 4x10, 2x20, and of course, 1x40. The factors of 38 are 2x19, and 1x38.
Answer:
The definition of relatively prime is two numbers with a GCF of 1.The numbers 38 and 40 are not relatively prime.
Step-by-step explanation:
hello please help will give brainliest
Answer:
c
Step-by-step explanation:
288/6 = 48
Hope this helps
Answer:
c.
Step-by-step explanation:
For ratio, u should divide
So, 288/6 = 48:1 or 48/1
6 times 48=288
Pls mark me brainliest
The manager of an apartment building increases the monthly
rent of each apartment in the building by 3% each year. At
the beginning of year 1, the monthly rent of an apartment
was $500.
What was the monthly rent of the apartment at the
beginning of year 3?
Answer:
The answer is 513
Answer:545
Step-by-step explanation:
add the sum of 296 and 173 to their difference
Help with this please
Answer:
158
Step-by-step explanation:
38.5 divided by 0.5 simplified
Answer:
77
Step-by-step explanation:
38.5 ÷ 0.5 = 77
77 x 0.5 = 38.5
(think of 5 x 7)
0.5 x 70 = 35 (3.5 left)
0.5 x 7 = 3.5 (0 left)
70 + 7 = 77
Write 0.00000000007 in scientific notation
HHhhHHHHEEEEEElLllLlpPpPp!!!!!
Answer:
7x10^-11
Step-by-step explanation:
You probably don't need this answer anymore.
Chris claims that any fraction located between 1/7
1/9 on a number line must have a
denominator of 8. Enter a fraction that shows Chris’ claim is incorrect.
Answer:
2/15
Step-by-step explanation:
if we multiple 1/7 and 1/9 by 2 we get 2/14 and 2/18. we can then get a fraction in between such as 2/15
find each sum.
17+(-28
12+(-9)
-2+7
-14+(-10)
-9+(-2)
Answer:
-2834
Step-by-step explanation:
thats the answer
1) Qual a área lateral do prisma triangular regular, cuja aresta da base mede 5 cm e a altura 10 cm ? *
1 ponto
Imagem sem legenda
a) 50 cm²
b) 100 cm²
c) 150 cm²
d) 200 cm²
2) Um prisma triangular regular tem a aresta da base igual à altura. Calcular a área total do sólido, sabendo-se que a área lateral de uma das faces é 10 m². *
1 ponto
a) 5 (√3 + 6) m²
b) 2√3 + 36 m²
c) 56 m²
d) 2 (√3 + 6) m²
Answer:
1) c) 150 cm²
2) a) 5 (√3 + 6) m²
Step-by-step explanation:
1) A fórmula para a área lateral do prisma triangular regular é
L.A = Perímetro × Altura
Perímetro = 3 × borda da base
L.A = 3 × 5 cm × 10 cm
L.A = 150cm²
Opção c. 150cm² é a opção correta²
2) Diz-se na pergunta que a área lateral de uma das faces = 10m²
A área lateral de todo o prisma = 3 × 10m²
= 30m²
Onde a borda da base = altura
A área da superfície lateral de uma das faces é: 10m² = Borda da base × Altura da base
Portanto, Altura = √10m
= Borda da base = √10m
A área de superfície total de um prisma triangular é:
2B + Ph
Ph = área de superfície lateral
B = Área de Base
2 (Área da Base) = 2( Borda da Base² × √3/4)
2 (Área da Base) = 2((√10)² × √3 / 4)
2 (Área de Base) = 2(10√3/4)
= 20√3/4
2 (Área da Base) = 5√3 m²
A área de superfície total de um prisma triangular é:
2B + Ph
= 5√3 m² + 30 m²
= 5 (√3 + 6) m²
X - y/2z=3 solve for x
Answer:
x = 1 /2 yz + 3
Step-by-step explanation:
The solution of x is 6z.
To find the solution of x.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given that:
A value or values which, when substituted for a variable in an equation, make the equation true.
x-y/2z = 3
multiply 2z in both sides we get,
2z(x-y)/2z = 3 × 2z
simplify the equation,
x - y = 6z
Add y in both sides we get,
x-y+y = 6z + y
x = 6z
So, the solution of x is 6z.
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(6. 10)
Ka, 8)
(4.b)
(2.2)
a. What is the slope of the line? Type the answer in the box below.
The slope of the ines
Write an equation for the line parallel to g(x) = 4x + 5 and passing through the point (10,7). Write the answer in slope-intercept
form.
Answer:
y=4x-33
Step-by-step explanation:
the slope for parallel lines is the same so it would be 4
(y-y₁)=m(x-x₁)
(y-7) =4(x-10)
(y-7) =4x-40
+7 +7
y=4x-33
is math hard or easy. comment your answer
math is hard, but sometimes it can be easy
Answer:
a little bit of bth
Step-by-step explanation:
Round 57,824,279 to the nearest ten-million.
57,824,279 rounded to the nearest ten-million is
Answer:
60,000,000
Step-by-step explanation:
5 and up - round up
4 and down - round down
You can see 7, so we round up.
57,824,279 is rounded to 60,000,000
Let me know if I'm wrong!
Answer:
57,824,279 to the nearest ten million is 60,000,000
Look at the 5 and the 7. Since 7 is greater than 5, round up to 6. We will have 60,000,000.
Step-by-step explanation:
Janet can make 4/5 of a necklace in 20 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can Janet make in 1 hour?
Answer: 4 necklaces
Step-by-step explanation: 4/5 x 5 = 4
hope this helps
Answer:
Janet makes 2.4 necklaces in 1 hour
Step-by-step explanation:
first you need to find how many minutes it takes to make one necklace.
to do this, divide 20 by 4 and multiply by 5.
20/4 = 5
5 * 5 = 25
janet makes one necklace every 25 minutes.
one hour is 60 minutes.
60/25 = 2.4
HELPPS PLEASE FOR BRIANILIST
Miss Rockwell surveyed her class and found that 12 out of 30 students chose peaches as their favorite fruit write the number of students who chose peaches as a fraction in the simplest form then write the fraction as a decimal
Answer: 8282828
Step-by-step explanation: I’m not sure
If 5x + 6 = 10, what is the value of 10x + 3 ?
Answer:
11
Step-by-step explanation:
Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil.
If the price of soil is $1.50 per quart, how much will he pay in all?
Answer the answer to your question is $7.50
11. Use an inequality symbol (<,>, 2, =) to compare -26
54
A.
B. =
O C.<
O D.>
Answer:
c. less than symbol < because -26 is less than 54 because its far to the left from 54
What is 8x - 6x + 4 +5 = 19
Answer: x = 5
The step-by-step explanation is below.
Combine like terms
8x-6x = 2x
4+5=9
2x+9=19
Subtract 9
2x=10
Divide by 2
x = 5
Hope this helps!
what is the value of x in the equation 2/3(6x-9)=2(x+12)
Answer:
x=15
Step-by-step explanation:
hope this helps