Answer: A) 71.498 ; b) 0.00152
Step-by-step explanation:
Given the following :
Number of atoms that decayed during 365 days period = 26,097
Number of days = 365
Mean number of radioactive atoms that decayed in a day:
Mean = number of decayed atoms / number rof days
Mean = 26,097 / 365
Mean = 71.498 atoms per day
B.) probability that 50 radioactive atoms decayed in a given day:
Using the poisson distribution formula :
P(x =x) = (m^x * e^-m) ÷ x!
Where m = mean
Mean (m) = 71.498
P(x = 50) = (71.498^50 * e^-71.498) / 50!
P(x = 50) = (71.498^50 * 2.7182818^-71.498) / 50!
= 4.60795E61 / 50!
= 0.0015150
Need help with this didn’t understand it
Answer:
Ok, the solution to the first one. See below.
Step-by-step explanation:
[tex]1>3-d\\\\\mathrm{Add\:}d\mathrm{\:to\:both\:sides}\\\\1+d>3-d+d\\\\\mathrm{Simplify:}\\\\1+d>3\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\1+d-1>3-1\\\\\mathrm{Simplify:}\\\\d>2[/tex]
See attachment below.
Best Regards!
le
The graph shows two ratios from the table.
ty
9
Celery (x)
2
4
6
8
7
6
Carrots (y)
3
6
?
Carrots
5
4
3
Predict how many carrots you will need for the recipe if
you use 6 stalks of celery.
2
carrots
1
2 3
4 5 6 7 8 9 10
Celery
Answer:
9 carrots
Explanation:
There are different ways to solve these.
The first one is identify the pattern of the graph. You can see that the slope has 3 rises up and 2 runs to the right. So follow that point and you can see that the next coordinate is (6,9).
The second way is identify the pattern of the table. As you can see, the pattern goes like this: [tex]\frac{2}{3} ,\frac{4}{6} ,\frac{6}{y}[/tex]
2/3 = 2/3
4/6 = 2/3
6/y = 2/3
Solve the last one algebraically (cross-multiply first):
6/y = 2/3
2y = 18
y = 18 ÷ 2
y = 9
6/9 = 2/3 (correct)
Answer:
9 carrots
Step-by-step
Solve for the missing side of the triangle. 9.03 11.98 18.78 24.92
Answer:
11.98
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 53 = x/15
15 sin 53 = x
11.97953265 = x
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. None of these
OB. What may be false
C. What may be true
D. What must be true
Work out m and c for the line: y = 9 − x
Answer:
m = -1
c = 9
Step-by-step explanation:
m is slope, which is the coefficient of x
c is the y-int, which is the constant
Work out m and c for the line: y = 8 x
Answer:
m = 8 and c = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 8x ← is in slope- intercept form, that is y = 8x + 0
with m = 8 and c = 0
What is the Equation of the line of symmetry for the parabola represented by the equation y= -2(x-7)^2+11 Enter your answer as The correct equation, like this x=42
Answer:
Step-by-step explanation:
Sing robbery and ur done
Alejandra has $600 in her checking account she wants to spend part of this money on a computer she wants to have at least 250 left in her checking account after buying the computer that in quantity shownCan be used to find t The amount of money in dollars the Alexandra can spend on her computer find the value of t
Answer:
350$
Step-by-step explanation:
600 = total in checking account.
250 = left in checking account after transaction.
600-250 = 350
meaning the most she can spend on a computer is 350$.
Answer:
t ≤ 350
Step-by-step explanation:
Which inequality represents all possible values of t ?
According to 3 sources I found online this should be correct! Let me know if anything else is needed asap!
find the area of the triangle that has a base of 5 inches in a height of 3 3/4 inches
Answer: 75/8= 9 3/8
Step-by-step explanation: Area = 1/2 X b X h
1/2 X 5 X 15/4 =
75/8=9 3/8
Who want 20 points answer and it gotta be right
3 to the power of 14
Step-by-step explanation:
you need to add the exponents together. When you multiply exponents you actually add them.
so [tex]3^{14}[/tex] is your answer.
or 4783969 if you solve the whole thing
i hope this helps
Answer:
3 to the power of 14
Step-by-step explanation:
A flat surface that extends without end in all directions and is named by three points that are not on the same line is known as which geometric term? A. point B. ray C. line D. plane
Answer:
D...........................
The flat surface that extends without end in all directions and is named by three points that are not on the same line is known as D. Plane.
What is a plane?A flat form or a shape with two dimensions—length and width—is referred to as a two-dimensional shape. Shapes that are two-dimensional, or 2D, lack thickness.
We can represent all the two-dimensional figures in a plane some of them are, Triangles, Circles, Quadrilaterals, and Polygons.
A plane can also be represented as a surface, It can extend without end in all directions and is named after three points that are not on the same line.
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∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'. If vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at and vertex B' is at A.(5, 1) (-4, 8) B.(-2, 11) (-7, -1)
Answer:
(-4,8)
Step-by-step explanation:
(-1, 2) => (x, y)
is translated 6 units up => 2+6 = 8
3 units left => -1-3 = -4
the coordinates of A′ => (-4, 8)
would appreciate brainliest!
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines. EB and DC are parallel. AE = 5 cm, BC = 4.5 cm, BE = 4 cm, CD = 9 cm The area of quadrilateral BCDE is x cm2 The area of triangle ABE is y cm2 Find an expression for y in terms of x . Give your answer as simply as possible. (3 marks)
Answer:
y = 16x/65
Step-by-step explanation:
Given:
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines
EB and DC are parallel
The area of quadrilateral BCDE = xcm²
The area of triangle ABE = ycm²
Find attached the diagram from the above information.
In similar triangles, the ratio of their corresponding angles are equal.
Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.
Area ∆ACD/area of ∆ABE = (DC/EB)²
Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +
area of ∆ABE)]/(area of ∆ABE)
(x+y)/y = (DC/EB)²
(x+y)/y = (9/4)²
x+y = (81/16)y
x = (81/16)y - y
x = (81y - 16y)/16
x = 65y/16
Making y subject of formula
16x = 65y
y = 16x/65
An expression for y in terms of x:
y = 16x/65
An expression for y in terms of x is :
y = 16x/65
Given:
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines . EB and DC are parallel The area of quadrilateral BCDE = xcm² The area of triangle ABE = ycm²Consider, the image attached:
In similar triangles, the ratio of their corresponding angles are equal.
Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.
Thus,
Area ∆ACD/area of ∆ABE = (DC/EB)²
Area ∆ACD/area of ∆ABE =
[(area of quadrilateral BCDE + area of ∆ABE)]/(area of ∆ABE)
On substituting the given values:
(x+y)/y = (DC/EB)²
(x+y)/y = (9/4)²
x+y = (81/16)y
x = (81/16)y - y
x = (81y - 16y)/16
x = 65y/16
In terms of y:
16x = 65y
y = 16x/65
Therefore, an expression for y in terms of x: y = 16x/65
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PLZZ ANSWER QUICK TIMED a submarine is positioned –1525 feet in relation to sea level. The submarine needs to be –1865 feet below sea level in 20 minutes. Which best represents the rate at which the submarine needs to travel? –169.5 ft/min –17 ft/min 17 ft/min 169.5 ft/min
Answer:
17ft/min
Step-by-step explanation:
1865-1525 = 340
multiply the rest by 20 and see which gets 340 ft. so the only correct one is 17ft/min
12. Find the product: (88a + 80)(8a + 8) ( 1 ) 13. Find the product: (40y + zy)(4y + zy) ( 1 )
Answer:
(88a+80)(8a+8)
88a(8a+8)+80(8a+8)
704a²+704a+640a+640
704a²+1344a+640
(40y+zy)(4y+zy)
40y(4y+zy)+zy(4y+zy)
160y²+40zy²+4zy²+z²y²
160y²+44zy²+z²y²
Step-by-step explanation:
i hope this will help you
help me lol abcdefghijklmnopqrstuvwxyz
Answer:
30 cans
Step-by-step explanation:
We can use ratios
15 cans x cans
---------------- = ------------------
7*2 people days 4*7 people days
Using cross products
15 * 28 = 14 * x
Divide by 14
15 * 28/14 = x
30 =x
Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibiotic regularly every 12 hours for 10 days. Sophia is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours, about 4.5% of the drug is still in the body. What quantity of the drug is in the body right after the first dose, the second dose, the third dose, the fourth dose (10 points)? When will the total amount of the antibiotic in Sophia’s body be the highest? What is that amount (10 points)? Answer Sophia’s original question: Describe how much of the drug will be in her body at various points over the course of the 10 days (10 points).
Answer:
see below
Step-by-step explanation:
Dosage= 500 mg
Frequency= twice a day (every 12 hours)
Duration= 10 days
Number of dosage= 10*2= 20
residual drug amount after each dosage= 4.5%
We can build an equation to calculate residual drug amount:
d= 500*(4.5/100)*t= 22.5t, where d- is residual drug, t is number of dosage
After first dose residual drug amount is:
d= 500*0.045= 22.5 mgAfter second dose:
d= 22.5*2= 45 mgAs per the equation, the higher the t, the greater the residual drug amount in the body.
Maximum residual drug will be in the body:
d= 20*22.5= 450 mg at the end of 10 daysMaximum drug will be in the body right after the last dose, when the amount will be:
500+19*22.5= 927.5 mgwrite down the mathematical name of this shape
Answer:
parallelogram
Step-by-step explanation:
Its a parallelogram.
Answer
parallelogram
Step-by-step explanation:
Plz answer this question and I will mark you as brainliest
Answer: 3/8
Step-by-step explanation:
When you subtract fractions, you want them to have a common denominator.
[tex]\frac{36}{24}-\frac{27}{24} =\frac{9}{24}[/tex]
This answer is correct, but it is not in the simplest term. To get the simplest term, you want to divide the numerator and denominator by the same number.
[tex]\frac{9}{24} =\frac{3}{8}[/tex]
If f(x) = 2x, then f -1(x) =
0-2x
O 12x
OX-2
Answer:
What am I supposed to do
Step-by-step explanation:
This recipe makes 5 portions of fajitas. Carly has 700 g of chicken, 800 g of peppers, 200 g of onion, 50 g of spice mix and 16 tortillas. How much more of each ingredient will she need to make 15 portions by following this recipe?
Recipe:
Serves 5
400 g
chicken
600 g peppers
70 g onion
20 g spice mix
10 tortillas
?g chicken
? g peppers
? g onion
? g spice mix tortillas
Answer:
Chicken = 500 g
Peppers = 1 kg
Onions = 10 g
Spice mix = 10 g
Tortillas = 14
Step-by-step explanation:
5 × 3 = 15
What the recipe indicates she needs
400 × 3 = 1200
600 × 3 = 1800
70 × 3 = 210
20 × 3 = 60
10 × 3 = 30
Subtract what she needs from what she has
1200 - 700 = 500 g
1800 - 800 = 1000 g
210 - 200 = 10 g
60 - 50 = 10 g
30 - 16 = 14 tortillas
Answer:
qhdlqywylvly
Step-by-step explanation:hqiufqwbuif
If x varies inversely as p and x=2 when p=4 find the formula connecting them
Answer:
x = [tex]\frac{p}{2}[/tex]
Step-by-step explanation:
x ∝ p
x = kp -------(1)
Where k is the constant of proportionality.
Now, x = 2 when p = 4
Putting in the above formula
2 = k(4)
Dividing both sides by 4
k = [tex]\frac{2}{4}[/tex]
=> k = [tex]\frac{1}{2}[/tex]
Putting k in (1)
x = [tex]\frac{p}{2}[/tex]
Now this is the required equation connecting both.
The laundry has been sorted into dark clothes and light clothes. The number of dark clothes is three more than twice the number of light clothes. The laundry is 60% dark clothes. Choose the equation that best represents this scenario. x over quantity 2x plus 3 equals 40 over 60 x over quantity 2x plus 3 equals 60 over 40 x over quantity 2x plus 3 equals 40 over 100 x over quantity 2x plus 3 equals 60 over 100
Answer:
x over quantity 2x plus 3 equals 40 over 60
Step-by-step explanation:
Let light clothes=x
Number of dark clothes = 2x + 3,
Dark clothes are 60% of total clothes
Light clothes=100%-60%
=40%
Light clothes / dark clothes = percentage of light clothes / percentage of dark clothes
x / 2x+3 = 40 / 60
x over quantity 2x plus 3 equals 40 over 60
Expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].
Let the number of dark cloths = y
And the number of light cloths = x
"The number of dark cloths is three more than twice the number of light cloths".
Therefore, equation will be,
y = 2x + 3 ----- (1)
"The laundry is 60% dark cloths"
Equation for this statement will be,
y = [tex]\frac{60}{100}(x+y)[/tex]
y = 0.6x + 0.6y
y - 0.6y = 0.6x
0.4y = 0.6x
[tex]\frac{y}{60}=\frac{x}{40}[/tex]
Now substitute the value of y from equation (1),
[tex]\frac{2x+3}{40}=\frac{x}{60}[/tex]
[tex]\frac{2x+3}{x}=\frac{40}{60}[/tex]
[tex]\frac{x}{2x+3}=\frac{60}{40}[/tex]
Therefore, expression for this situation will be [tex]\frac{x}{2x+3}=\frac{60}{40}[/tex].
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Don wants to buy 5 baseballs. He has $20. What is the most each baseball can cost?
Answer:
4 dollars is the highest
Answer:4 Is the highest each baseball can cost
Step-by-step explanation: He has $20 and wants to buy 5 baseballs. This leads the equation to be 20/5. Which, after solving the equation makes the highest cost of each ball $4
Iff the hight of 1000 students are normally distributed with the mean of 68.5 inches and standard deviation of 2.7 inches how many of these students would you axpect to have hight? . Between 67.5 and 71.0 inches exclusive? . Greater then or equal to 74.0 inches?
Answer:
Step-by-step explanation:
Let x be the random variable representing the height of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 68.5
σ = 2.7
the probability that a student's height is between 67.5 and 71.0 inches exclusive is expressed as
P(67.5 < x < 71.0)
For x > 67.5,
z = (67.5 - 68.5)/2.7 = - 0.37
Looking at the normal distribution table, the probability corresponding to the z score is 0.36
For x < 71.0
z = (71.0 - 68.5)/2.7 = 0.93
Looking at the normal distribution table, the probability corresponding to the z score is 0.82
Therefore,
P(67.5 < x < 71.0) = 0.82 - 0.36 = 0.46
The number of students whose height is between 67.5 and 71.0 inches is
0.46 × 1000 = 460 students
The probability that a student's height is greater than or equal to 74.0 inches is expressed as P(x ≥ 74)
P(x ≥ 74) = 1 - P(x < 74)
For x < 74,
z = (74 - 68.5)/2.7 = 2.04
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
P(x ≥ 74) = 1 - 0.98 = 0.02
The number of students whose height are greater than or equal to 74.0 inches is
0.02 × 1000 = 20 students
I will give you brainliest!!! Solve the system of equations by graphing both equations with a pencil and paper y=x-3 y=-x+1
Answer:
A. (2,-1) i thought this is hard but its kind of easy actually
Step-by-step explanation:
so you just put the given options into the xs and ys.. so lets say we have (2,-1) 2=x -1=y
now put them into the equations.. y=x-3
-1=2-3( if this is true than this is the right answer)
y= -x +1
-1= -2 +1 (this is also correct)
PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!
Answer:
answer B. -5
Step-by-step explanation:
hello
fg(-4)=f(-4)*g(-4)=(-4-1)(5*16-19*4-3)=-5*(80-76-3)=-5*(1)=-5
hope this helps
Answer: It is B. -5
Megan is checking her tax bill for the last year. the tax rates were as follows: no tax on the £11000 of earning earnings in excess of £11000 and up to £43000 tasted at a rate of 20% earnings in excess of £43000 and up to 150000 taxed at a rate of 40% earnings over £150000 taxed at 45% last year meghan earned £158900 before tax how much tax did she pay in total?
Answer:
£53,205
Step-by-step explanation:
Megan paid ...
0 on the first £11,000
.20 of the next £43,000 -11,000 = £6400
.40 of the next £150,000 -43,000 = £42,800
.45 of the next £158,900 -150,000 = £4,005
So, her total tax bill is ...
£6,400 +42,800 +4,0005 = £53,205
Megan paid a total of £53,205 in tax.
When x^3 + 2x^2 - 7x + a is divided by (x-2) the remainder is 4. Find the value of a. Please help
Answer:
a = - 8
Step-by-step explanation:
A polynomial divided by factor (x - h) has a remainder given by f(h)
Here the divisor is (x - 2), thus f(2) gives the remainder, that is
2³ + 2(2)² - 7(2) + a = 4 ← 4 being the remainder
8 + 8 - 14 + a = 4, that is
12 + a = 4 ( subtract 12 from both sides )
a = - 8
What is the point-slope form of a line that has a slope of One-half and passes through point (–7, 2)? PLS HELP
Answer:
y -2= 1/2(x+7)
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y - 2 = 1/2(x - -7)
y -2= 1/2(x+7)
Answer:
D) y - 2 = 1/2(x - (-7))
Step-by-step explanation:
I just took the quiz on edge