Please help
The lengths of pregnancy terms for a particular species of mammal are nearly normally distributed about a mean pregnancy length with a standard deviation of 17 days. About what percentage of births would be expected to occur within 51 days of the mean pregnancy length?
Answer:
About 99.7% of births would be expected to occur within 51 days of the mean pregnancy length
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Standard deviation = 17.
About what percentage of births would be expected to occur within 51 days of the mean pregnancy length?
51/17 = 3.
So, within 3 standard deviations of the mean.
About 99.7% of births would be expected to occur within 51 days of the mean pregnancy length
4/5 dived by 3/4
Please help
Answer:
1 1\15
Step-by-step explanation:
x^2+(x-8)^2-3(x+2) = 2(x+9)
Answer:
There are two solutions:
x = 5/2 = 2.500
x = 8
Step-by-step explanation:
Weights of men: 90% confidence; n = 14, x=161.5 lb, s =13.7 lb
Answer:
The 90% for the average weights of men is between 137.24 lb and 185.76 lb.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 14 - 1 = 14
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709
The margin of error is:
M = T*s = 1.7709*13.7 = 24.26
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 161.5 - 24.26 = 137.24 lb
The upper end of the interval is the sample mean added to M. So it is 161.5 + 24.26 = 185.76 lb
The 90% for the average weights of men is between 137.24 lb and 185.76 lb.
Element X decays radioactively with a half-life of 14 minutes if there are 680 grams of element X how long to the nearest 10th of a minute would it take the element to decay 17 grams
Answer:
It would take 74.5 minutes for the element to decay 17 grams.
Step-by-step explanation:
The amount of element X after t minutes is given by the follwoing equation:
[tex]X(t) = X(0)e^{rt}[/tex]
In which X(0) is the initial amount of the substance and r is the decay rate.
Half life of 14 minutes.
This means that [tex]X(14) = 0.5X(0)[/tex]
So
[tex]X(t) = X(0)e^{rt}[/tex]
[tex]0.5X(0) = X(0)e^{14r}[/tex]
[tex]e^{14r} = 0.5[/tex]
[tex]\ln{e^{14r}} = \ln{0.5}[/tex]
[tex]14r = \ln{0.5}[/tex]
[tex]r = \frac{\ln{0.5}}{14}[/tex]
[tex]r = -0.0495[/tex]
So
[tex]X(t) = X(0)e^{-0.0495t}[/tex]
There are 680 grams of element X
This means that [tex]X(0) = 680[/tex]
[tex]X(t) = X(0)e^{-0.0495t}[/tex]
[tex]X(t) = 680e^{-0.0495t}[/tex]
How long would it take the element to decay 17 grams
This is t for which X(t) = 17. So
[tex]X(t) = 680e^{-0.0495t}[/tex]
[tex]17 = 680e^{-0.0495t}[/tex]
[tex]e^{-0.0495t} = \frac{17}{680}[/tex]
[tex]e^{-0.0495t} = 0.025[/tex]
[tex]\ln{e^{-0.0495t}} = \ln{0.025}[/tex]
[tex]-0.0495t = \ln{0.025}[/tex]
[tex]0.0495t = -\ln{0.025}[/tex]
[tex]t = -\frac{\ln{0.025}}{0.0495}[/tex]
[tex]t = 74.5[/tex]
It would take 74.5 minutes for the element to decay 17 grams.
Charlotte is creating a triangular pennant with geometry software. The base measure of the pennant on screen is 550 pixels. The height is 275 pixels. Charlotte resizes the pennant, keeping the aspect ratio constant, so the height is 165 pixels. What is the scale factor of the dilation? What is the base of the pennant?
When a number is increased by 84%, the result is 72. What is the original number to the nearest tenth?
help please quick 29 points please answer
Answer:
Step-by-step explanation:
It costs $7 for 1 baseball and Mrs.Weeks is buying 36 baseballs, that would be: $7 X 36 = $252
It costs $5 for 1 softball and Mrs.Weeks is buying 24 softballs that would be:
$5 X 24 = $120
$252 + $120 = $372 for the baseballs and softballs
Mrs.Weeks gives the cashier four $100 bills that is $400 dollars.
so $400 - $372 = $28 (Mrs.Weeks change)
f(x)=7x+3 and g(x)=-6x-8, find (f•g)(x) and (f•g)(-1)
Answer:
[tex](f*g)(x)=-42x^2-74x-24[/tex]
[tex](f*g)(-1)=8[/tex]
Step-by-step explanation:
[tex]f(x)=7x+3\\ g(x)=-6x-8[/tex]
[tex](f*g)(x)=(7x+3)(-6x-8)\\(f*g)(x)=-42x^2-56x-18x-24\\(f*g)(x)=-42x^2-74x-24[/tex]
Now;
[tex](f*g)(-1)=-42x^2-74x-24\\(f*g)(-1)=-42(-1)^2-74(-1)-24\\(f*g)(-1)=-42(1)+74-24\\(f*g)(-1)=-42+50\\(f*g)(-1)=8[/tex]
Mrs. Miller pays $56 for 8 pounds of salmon. What is the price of pound per salmon?
Answer:
A pound of salmon costs 7 dollars.
Step-by-step explanation:
Let's use a ratio:
pounds : $$$
8 : 56
4 : 28
2 : 14
1 : 7
A pound of salmon costs $7
Answer:
Step-by-step explanation:
56 divided by 8 is 7 so the answer is 7$ for one pound of salmon
In 2000, the population of Big Springs was 13 thousand. Use the given doubling
time to predict the population in 2100. Assume a doubling time of 40 years.
Answer:
The answer is "26179.4".
Step-by-step explanation:
Assume year 2000 as t, that is t =0.
Formula:
[tex]A= A_0e^{rt}[/tex]
Where,
[tex]A_0 = \ initial \ pop \\\\r= \ rate \ in \ decimal \\\\t= \ time \ in \ year[/tex]
for doubling time,
[tex]r = \frac{log (2)}{t} \\[/tex]
[tex]r = \frac{\log (2)}{ 40} \\\\r= \frac{0.301}{40}\\\\r= 0.007[/tex]
Given value:
[tex]A = A_0e^{rt} \\\\[/tex]
[tex]A_0 = 13000[/tex]
[tex]t= 40 \ years[/tex]
when year is 2000, t=0 so, year is 2100 year as t = 100.
[tex]A = 13000 \times e^{et}\\\\A = 13000 \times e^{e \times t}\\\\A = 13000 \times e^{0.007 \times 100}\\\\A = 13000 \times e^{0.7}\\\\A= 13000\times 2.0138\\\\A = 26179.4[/tex]
consider the function f(x) = 2(3)^x. which of the function in the graph below represents f(x-4)?
Answer:D or k(x)
Step-by-step explanation: Ik because I cheated like the rest of you, your welcome.
Brainliest giving to who gets this CORRECT first. Check all that apply.
Answer:
B and E
Step-by-step explanation:
You can start by moving everything to one side and solving the quadratic equation:
[tex]x^2+7x-18=0[/tex]
Factoring:
[tex](x+9)(x-2)=0[/tex]
x=2,-9, or answer choice B and E. Hope this helps!
Answer:
B and E
Step-by-step explanation:
A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters, find the area of the pen?
Answer:
Area=LW=(60m)(40m)=2400 m^2
Step-by-step explanation:
The area of the rectangular pen is 2400 square meters.
What are the area and parameters of a rectangle?The region that a rectangle occupies in a two-dimensional space is referred to as the area of a rectangle. The quantity of square units required to entirely fill a rectangle is another way to describe its area. The whole distance encircling a rectangle's outside is referred to as its perimeter.
Given, A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters. Hence,
Parameter of rectangle = 200
2(length + width ) = 200
given length of the pen is 60 meters
2(60 + width) = 200
width = 100- 60 = 40
Area of the rectangle = length * width = 60* 40 = 2400
Therefore, 2400 square meters will be the area of the given rectangular pen.
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At Pizza Pi, 80% of the pizzas made last week had extra cheese. If 16 pizzas had extra
cheese, how many pizzas in all were made last week?
Answer:
20 pizzas in total
bro now i want pizza
Step-by-step explanation:
16 pizzas = 80%
8 pizzas = 40%
4 pizzas = 20%
Kono Dio Da!!!
Some Field Experience in the use of an Accelerated Method in Estimating 28-Day Strength of Concrete" considered regressing y =28-day standard-cured strength (psi) against x =accelerated strength (psi). Suppose the equation of the true regression line is y =1800 +1.3x.
a.What is the expected value of 28-day strength when accelerated strength= 2500? (2 marks)
b.By how much can we expect 28-day strength to change when accelerated strength increases by 1 psi? (4 marks)
c. Answer part (b) for an increase of 100 psi. (2 marks)
d. Answer part (b) for a decrease of 100 ps
Answer:
(a) 5,050 psi.(b) 5,051.3 psi.(c) 5,180 psi.(d) 4,920 psi.Step-by-step explanation:
The given function is
[tex]y=1800+1.3x[/tex]
Where [tex]x[/tex] represents the accelerated strength in psi, and [tex]y[/tex] represents 28-day standard-cured strength in psi.
Part a is about finding the y-value for [tex]x=2500[/tex]
[tex]y=1800+1.3(2500)=1800+3250=5,050[/tex]
Therefore, the expected value of 28-day strength when accelerated strength is 2,500, is 5,050 psi.
Part b is about the y-value for [tex]x=2501[/tex]
[tex]y=1800+1.3(2501)=1800+3251.3=5,051.3[/tex]
Part c is about the y-value for [tex]x=2600[/tex]
[tex]y=1800+1.3(2600)=1800+3380=5,180[/tex]
Part d is about the y-value for [tex]x=2400[/tex]
[tex]y=1800+1.3(2400)=1800+3120=4,920[/tex]
Solve for c.
6c + 14 = -5c + 4 + 9c
Answer:
C equal -5
Step-by-step explanation:
Look at the attachment
Daniel has $5000 in a savings account, has $7000 in investments, owns a
$10,000 car, and owns a $32,000 house. What is the total value of his large
assets?
O A. $42,000
B. $22,000
C. $12,000
D. $54,000
Answer:$42,000
Step-by-step explanation:
The total value of his large assets is $42,000.
What is large assest value?Asset size is the total market value of the securities in a fund. It can also be referred to as assets under management.
Daniel has $5000 in a savings account, has $7000 in investments, owns a $10,000 car, and owns a $32,000 house.
The total value of his large assets is determined in the following steps given below.
[tex]\rm Large \ assest = House + Car\\\\ Large \ assest = 32000+10000\\\\ Large \ assest = 42000[/tex]
Hence, the total value of his large assets is $42,000.
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Does it take more
inches or feet to equal a given
length? Explain.
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer: Exact Form:
(Radical 5) over 8
Decimal Form:
0.27950849
…
0.27950849
…
Step-by-step explanation:
Answer:
C. (√5)/8
Step-by-step explanation:
[tex]\sqrt{\dfrac{5}{64}}=\dfrac{\sqrt{5}}{\sqrt{64}}=\boxed{\dfrac{\sqrt{5}}{8}}[/tex]
Use substitution to solve the system of equations algebraically.
x2 + y2 = 32
y = x
One solution to the system of equations is (–4, –4).
The other solution to the system of equations is _______
Answer:
The other solution to the system of equations is : (4,4)
Step-by-step explanation:
[tex]x^{2}}+y^{2} =32 \\y=x\\\\x^{2} +x^{2} =32\\2x^{2} =32\\x^{2} =16\\\\x=4 Or x=-4\\y=4 Or y=-4[/tex]
Answer:
(4, 4)
Step-by-step explanation:
Whats is the 6+8-16
Answer:
-2
Step-by-step explanation:
6+8 equals 14. 14-16 equals -2
Answer: The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals
Step-by-step explanation:
The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals
Tickets to a concert cost either $12 or $15. A
total of 300 tickets are sold, and the total
receipts were $4,140. How many of each kind
of ticket were sold?
First complete the equations below, where x stands for
$12 tickets and y stands for $15 tickets.
[?]x + [ ]y = 4,140; x + y = U
Answer:
12x +15y = 4140; x + y = 300x = 120; y = 180Step-by-step explanation:
The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.
The equations are ...
12x +15y = 4140; x +y = 300
__
Using the second equation to write an expression for x, we have ...
x = 300 -y
Substituting this into the first equation gives ...
12(300 -y) +15y = 4140
3600 +3y = 4140
y = (4140 -3600)/3 = 180
x = 300 -180 = 120
The number of tickets sold is ...
$12 tickets -- 120
$15 tickets -- 180
_____
You might want to notice that the equation we ended up with:
4140 -12(300) = 3y
is equivalent to this "word solution." This can be done in your head; no equations required.
If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.
Answer: tickets: 120………180
Step-by-step explanation:
Find the sum of the interior angle measures of a convex octagon (an eight-sided polygon).
Answer:
1080
Step-by-step explanation:
:)
CAN SOME HELP ME PLEASE IT'S DUE IN 10 MINS
Answer:
Step-by-step explanation:the first one
Galen sold tickets for his church’s carnival for a total of $2,820. Children’s tickets cost $3 each and adult tickets cost $5 each. The number of children's tickets sold was 30 more than 3 times the number of adult tickets sold. How many children’s tickets and how many adult tickets did he sell?
Answer:
a = 195 ; c = 615
Step-by-step explanation:
So, you want to start by forming your equations...
I will use 'c' for children and 'a' for adults for my variables
3a + 30 = c
(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)
then for equation 2:
3c + 5a = 2820
(this is because of the prices of the tickets and the total money raised)
Then, plug in the equation for c
Your equation should look like:
3(3a + 30) + 5a = 2820
You get:
(9a +90) + 5a = 2820
Then:
14a = 2730
So:
a = 195 adult tickets sold
Plug in a, to find c:
3 (195) + 30 = c
585 + 30 = c
c = 615 children tickets sold
After dinner 2/3 of a pan of lasagna is left. The hole pan of Lasagna was originally cut in into pieces that were each 1/6 of the pan.which equation represents the number of pieces of lasagna that are left after dinner
Answer:
4 pieces leftStep-by-step explanation:
Initial number of pieces = 6
Number of pieces left:
6*2/3 = 2*2 = 4Answer:-
2/3 in terms of denominator 6 = 4/6
thus, there are 4 parts remaining (because, it was told that each lasanga was 1/6th part of the pan)
so,4/6 of a pan is 4 pieces.
Hope this helps you.
what is the length of leg s of the triangle below?
Answer:
the answer would be 10
Step-by-step explanation:
To play basketball with her friends, Evangeline needs to pump air in her ball, which is completely deflated. Before inflating it, the ball weighs
0.615
0.6150, point, 615 kilograms. Afterwards, it weighs
0.624
0.6240, point, 624 kilograms. The diameter of the ball is
0.24
0.240, point, 24 meters.
Assuming the inflated ball is perfectly spherical, what is the air density within it? Can someone tell me answer please ?
Answer:
ρ_air = 0.15544 kg/m^3
Step-by-step explanation:
Solution:-
- The deflated ball ( no air ) initially weighs:
m1 = 0.615 kg
- The air is pumped into the ball and weight again. The new reading of the ball's weight is:
m2 = 0.624 kg
- The amount of air ( mass of air ) pumped into the ball can be determined from simple arithmetic between inflated and deflated weights of the ball.
m_air = Δm = m2 - m1
m_air = 0.624 - 0.615
m_air = 0.009 kg
- We are to assume that the inflated ball takes a shape of a perfect sphere with radius r = 0.24 m. The volume of the inflated ( air filled ) ball can be determined using the volume of sphere formula:
V_air = 4*π*r^3 / 3
V_air = 4*π*0.24^3 / 3
V_air = 0.05790 m^3
- The density of air ( ρ_air ) is the ratio of mass of air and the volume occupied by air. Expressed as follows:
ρ_air = m_air / V_air
ρ_air = 0.009 / 0.05790
Answer: ρ_air = 0.15544 kg/m^3
Answer:
1.24
Step-by-step explanation:
Please help me I’m stuck on this.
Oliver wants to play the gone fishing game at the carnival.He will use the graph to find the total cost (Y) to play a couple of games.If Oliver wants to play 4 games,how much will he pay?
If u need more information tell me in the comments :)
Answer:
The cost of the game is $7 .
Step-by-step explanation:
By looking at the graph, the line at x = 4 is equals to y = 7
