Answer:
If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.
Step-by-step explanation:
Let Y be the no. of infections
The number of students who have been exposed to whooping cough is as follows:
n = 1400
n = 1400 and p = 0.8
nm = 1400 x 0.8
nm = 1120
n(1-m) = 1400 x (1-0.8)
n(1-m) = 280
Here,
Both nm and n(1-m) are greater than or equal to 10. So, we use normal distribution.
The mean and standard deviation of number of new infections is:
u = np
u =1400 x 0.8
u = 1120 = mean
SD = Standard Deviation
SD = [tex]\sqrt{1120(1-0.8)}[/tex]
SD = 14.966
The number of infections is distributed in an approximately normal way
N(1120,14.966)
75% of 1400 means 0.75 x 1400 = 1050
So,
Probability required.
P (Y[tex]\geq[/tex] 1050) = P (Y [tex]\geq[/tex] 1050 - 0.5) (Continuity Correction)
P (Y[tex]\geq[/tex] 1050) = P([tex]\frac{Y - u}{SD} \geq \frac{1049.5 - 1120}{14.966}[/tex])
P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\geq[/tex] -4.71)
P (Y[tex]\geq[/tex] 1050) = P(Z [tex]\leq[/tex] 4.71)
Using the z table:
P (Y[tex]\geq[/tex] 1050) ≈ 1
Hence,
If not treated, the probability of at least 75 percent of 1400 students being infected is approximately equal to 1.
In degrees what is the measure of MFE
HELP PLS I AM TIMED
Answer:
ADD THEM AND THEN SUBSTRACT THE RWO NUMBER AND DIVIDE YOUR X!!
Step-by-step explanation:
5(3m+2)
please help me
Answer:
(5x3m) + (5x2) = 15m + 10
Step-by-step explanation:
multiply 5 to 3m plus 5 to 2 which is equivalent to 15m + 10
I need help please help
Answer:
B) 103.25
Step-by-step explanation:
Area of rectangle:
A = bh
A = (16)(4)
A = 64
Area of a semi-circle:
r = d/2 = 5
A = (πr²)/2
A = (3.14 * 5²)/2
A = (3.14 * 25)/2
A = (78.5)/2
A = 39.25
Combined:
64 + 39.25 = 103.25
Answer: 103.25
Step-by-step explanation:
area of the rectangle is 4*16= 64
The area of the complete circle is [tex]\pi r^{2}[/tex]
r=d/2
r=10/2
r=5
[tex]25\pi[/tex] is the area of the full circle
[tex]\frac{25\pi }{2}[/tex] is the area of the semi- circle
area of the figure
[tex]64+\frac{25\pi }{2}[/tex]=103.27
what are the asymptotes? Please look at the picture :)
Answer:
The first one. X = -3 Y = 1
Step-by-step explanation:
The asymptotes are the green lines on the graph. See how the horizontal line intercepts Y= 1, and the vertical one intercepts X = -3.
Will someone double check me please? I keep getting 49 but apparently that’s not It :(
Answer:
[tex]m\angle PUQ = 43\textdegree[/tex]
Step-by-step explanation:
[tex]\angle PUQ[/tex], [tex]\angle QUR[/tex], [tex]\angle RUS[/tex], and [tex]\angle RUT[/tex] all form a straight line, so their measures add up to [tex]180 \textdegree[/tex]. Therefore, [tex]m\angle PUQ = 180 \textdegree - m\angle QUR - m\angle RUS - m\angle RUT[/tex] [tex]=180\textdegree - 49\textdegree - 52\textdegree - 36 \textdegree = \bold 4 \bold3\bold\textdegree[/tex]. Hope this helps!
Math isn't my best subject, but I beleive its 43.
49+52+36=137
137-180= 43.
Sorry if it's correct, but I believe 43 is the answer.
Please help a brotha out so I can get ungrounded! Will give Brainlyest!
Given:
HML = 180°
KMG = 180° (since both are lines)
∠KML = 83°
To find:
Measurement of ∠KMH
Steps:
Since we know HML is a line and equals to 180°, then
∠LMK + ∠KMH = ∠HML
83° + ∠KMH = 180°
∠KMH = 180° - 83°
∠KMH = 97°
Therefore the measurement of ∠KMH is 97°
Happy to help :)
If you need any help in any other question, feel free to ask
Also x = 20.75 (if you need steps pls ask)
simplify -2x3 yx xy2
Answer:
Umm can you please rewrite that
Step-by-step explanation:
its not really anything to simplfy
Write an equation for the trend line shown. Type answer in y = mx + b format.
Answer:
y=1/4x+250
Step-by-step explanation:
Answer:
y = 12.5x + 250
Step-by-step explanation:
(4,300) , (8,350)
m = 350 - 300 / 8 - 4 = 25/2 = 12.5
y - 300 = 12.5(x - 4)
y - 300 = 12.5x - 50
y = 12.5x + 250
I need help now it's an emergency please help me with this
Answer:
Population of the 48th generation will be 4469.
Step-by-step explanation:
Recursive formula by which the population is increasing,
[tex]L_{n+1}=L_n+95[/tex]
L₀ = 4
Common difference 'd' = 95
Recursive formula represents a linear growth in the population.
Therefore, explicit formula for the given sequence will be,
[tex]L_n[/tex] = L₀ + (n - 1)d [Explicit formula of an Arithmetic sequence]
Here n = Number of terms
L₄₈ = L₀ + (48 - 1)(95)
= 4 + 4465
= 4469
Therefore, population of the 48th generation will be 4469.
Find the area of the triangle.
Answer:
182.82812
Step-by-step explanation:
Solve the inequality for x and identify the graph of its solution. 2|x + 1| <4
Answer:
8
Step-by-step explanation:
At a farmers market, a package of pears weighs 3lb and cost $9. Bananas are priced at 4lb per dollar. Use rates to explain witch kind of fruit is more expensive per pound
Answer:
The pears are more expensive per pound
Step-by-step explanation:
Find the cost per pound of the pears and bananas by dividing the cost by the number of pounds:
Pears:
9/3
= 3 ($3 per pound of pears)
Bananas:
1/4
= 0.25 ($0.25 per pound of bananas)
Since 3 is larger than 0.25, this means the pears are more expensive per pound.
Determinism each situation is likely to be normally distributed, normally distributed, skewed left, or skewed right.
a. The age at which people died in the U.S.
b. Selling prices of cars in 2019
c. The number of pets owned by students at your school.
d. The height of all adult females in Connecticut
(NOT A MULTIPLE CHOICE)
Answers
a) Skewed leftb) Skewed rightc) Normally distributed (symmetrical)d) Normally distributed (symmetrical)==============================================================
Explanations:
a) It's a very unfortunate part of life that everyone dies, and some do earlier than others. In general and on a grand scale of things, the older generations tend to die more frequently compared to the younger generations. In other words, an 90 year old man is more likely to die than say a 20 year old man. This is assuming that they both live in the same environment with other factors held constant as well. Because the older generation dies more frequently, this means we have the main cluster to the right (where the ages are older) and a long tail stretching to the left. The tail is the set of outliers of people who died at a fairly young age. Again, I'm not saying that young people don't die, but I'm saying that they don't die as much compared to older people. This tail on the left tells us we have negatively skewed data.b) Most cars are priced low so that people can afford them. So the main cluster is to the left while we have outliers to the right. The outliers to the right represent very expensive luxury cars. The outliers on the right side pull on the right tail to make it skewed to the right. We consider this positively skewed. In contrast, the one for part (a) was negatively skewed. Think of the positive and negative directions on the x axis to help figure out which direction things are being skewed in.c) Some people have a lot of pets, while others have few or none at all. In the middle is some average number where the highest peak is located. The distribution is fairly normal as with anything scattered about on average.d) Similar to part (c). There are some very short women, and some are very tall, but the majority are within some range of the average height. Doing a dot plot or a histogram of the distribution help leads to an approximately normal distribution, which is symmetric.Between which two consecutive years did Kleya's income increase the most?
Kieya's Annual Income
2007
2006
2005
2004
2003
2002
2001
$15,000
$10,000
$5,000
$55,000
$50,000
$45,000
$40,000
$35,000
$30,000
$25,000
$20,000
room
2005 - 2006
2002 - 2003
2004 - 2005
2001 - 2002
Please help me
Answer:
2002 - 2003
Step-by-step explanation:
Answer:
The answer is 2003-2004 I think?
Step-by-step explanation:
A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in the charge per room per day, one more room is vacant. Each occupied room costs an additional $15 per day to maintain.
a) Find the demand function, expressing p, the price charged for each room per day, as a function of x, the number of rooms occupied.
b) Find the profit function P(x).
c) Find the price of per room per day the motel should charge in order to maximize its profit.
Answer:
a) p(x) = 300 - 3
b) P(x) = -3 x² + 285 x
c) Price of per room per day = $ 157.5
when Number of rooms occupied , x = 47.5
Step-by-step explanation:
Given - A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in the charge per room per day, one more room is vacant. Each occupied room costs an additional $15 per day to maintain.
To find - a) Find the demand function, expressing p, the price charged for each room per day, as a function of x, the number of rooms occupied.
b) Find the profit function P(x).
c) Find the price of per room per day the motel should charge in order to maximize its profit.
Proof -
a)
Let
(x, y) be the point
where x represents number of rooms occupied
and y represents price of room per day.
Now,
Given that,
a room is priced at $60 per day, all 80 rooms of the motel are occupied.
So, point becomes (80, 60)
And given that For every $3 rise in the charge per room per day, one more room is vacant.
So, point becomes (79, 63)
Now, we have two points (80, 60), (79, 63)
Let us assume that,
p(x) be the price charged for each room per day
Now,
By using point - slope formula , we get
p -60 = [tex]\frac{(63 - 60}{(79 - 80)} (x - 80)[/tex]
⇒p -60 = (-3)(x-80)
⇒p-60 = 240 -3 x
⇒p(x) = 240 + 60 -3 x
⇒p(x) = 300 - 3 x
b)
Given that,
Each occupied room costs an additional $15 per day to maintain.
Let C(x) be the cost function,
Then C(x) =15 x
now,
Revenue function,
R(x) =x*p
= x*(300 -3 x )
= 300 x - 3 x²
⇒R(x) = 300 x - 3 x²
Now,
We know
Profit function = Revenue function - Cost function
⇒P(x) = R(x)-C(x)
⇒P(x) = (300 x -3 x²) -15 x
⇒P(x) = -3 x² + 285 x
c)
P'(x) = -6 x +285
For Maximize profit , Put P'(x) = 0
⇒-6 x+ 285 =0
⇒6 x= 285
⇒x = [tex]\frac{285}{6}[/tex]
⇒x= 47.5
∴ we get
Maximize profit is when price, p = 300 - 3x
= 300 -3(47.5)
= $157.5
⇒Price of per room per day = $ 157.5
when Number of rooms occupied , x = 47.5
how do i find the probability of getting a red 5 or a 6 when one card is randomly selected from an ordinary deck?
Answer:
2 in 52 simplified- 1 in 26
Step-by-step explanation:
It cost $5.25 for a bottle of 150 vitamins. if the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?
what is the equation o the situation?
Could you please give me the equation and show me how you got it please so I could understand... thanks.
Answer: $8.75 for 250 vitamins.
Step-by-step explanation:
To find how much each vitamin costs we can divide $5.25 by 150.
5.25/150 = 0.035. So each vitamin is equal to $0.035.
We can then multiply the cost of 1 vitamin by 250.
0.035 x 250 = 8.75 or $8.75.
We can also make an equation for this problem. Let the total cost be equal to y and each vitamin equal to x.
y = 0.035x
So the equation above states that the total cost, y, is the amount of vitamins that are bought.
What is the length of the dotted line in the diagram below? Round to the neares
tenth.
Select all equations that represent this question: "Priya is stacking building blocks to make a tower. She takes a break when the tower is 2/2 feet tall, which is a of the height of the tower she wants to build. How tall is the tower when finished
5/8 * ? = 2 1/2
5/8 ÷ 2 1/2 = ?
2 1/2 * ? = 5/8
2 1/2 * 5/8 = ?
2 1/2 * 8/5 =?
2 1/2 ÷ 5/8 = ?
Answer:
c
Step-by-step explanation:
The answer is c
Answer:
5/8 * ? = 2 1/2
Step-by-step explanation:
x is the height of tower when finished.
We know that Priya takes a break when the tower is 2 and 1/2 feet tall, which is 5/8 off the height of the tower she wants to build.
This means that 5/8 of x equals 2 and 1/2 Let us represent this information in an equation.
5/8 × x = 2 and 1/2
Convert our given mixed fraction into improper fraction.
5/8 × x = 5/2
Multiply both sides of our equation by 8/5.
(8/5 × 5/8) × x = (5/2 × 8/5)
x = 8/2
x = 4
4 feet
The excursion boat Holiday travels 35 km upstream and then returns to its starting point. The entire trip (both ways) took 4 hours and 48 minutes. If the speed of the boat in still water is 15 km /h and the current is 2.5km /h, how much longer is the trip upstream than the trip downstream?
Answer:
cundo estamos onectados me tocss
Step-by-step explanation:
Simplify 4(4a+5b-3)
Answer:
12a+20b-12
Step-by-step explanation:
The graph shows a residual plot of values from a line of regression. Use the plot to analyze the results of the correlation.
Answer:
B
Step-by-step explanation:
What is ⅕ x ¾ equal too.
Answer:
4/20
Step-by-step explanation:
Answer:
[tex]\frac{3}{20}[/tex]
Step-by-step explanation:
[tex]\text{To multiply fractions, multiply the numerators, and multiply the denominators.}[/tex]
[tex]\frac{a}{c} *\frac{b}{d}=\frac{ab}{cd}[/tex]
--------------------------
[tex]\frac{1}{5} *\frac{3}{4} =\frac{(1*3)}{(5*4)} =\boxed{\frac{3}{20}}[/tex]
Hope this helps.
You download three albums for $36
dollars. What would it cost to download 5
albums? Provide evidence. Show your
char,table or model:
Someone helllppppppppppoppppoop
Answer:
The answer is 2..............
. An expression is shown. 6 ÷ 3 = What is the quotient expressed as a fraction?
Answer:
Evaluate the expression 6 x ( 4 + 3 x 2) + 100. ... mixed numbers) by replacing given fractions with equivalent fractions in such a ... What is the quotient expressed as a.
what I'm doing wrong its sayin him wrong in canvas! Consider having a personal loan that spans 5 years. The loan was only taken out for $6000, but the interest rate was a higher fixed percentage of 5.99%. How much interest will you have paid after it is paid off?
2. What is the total interest you will have paid for the scenario below?
The home you purchased was sold for $141,000 with a fixed APR of 1.035% across 40 years. The down payment required was 6.0%.
Answer:
Time dependency: 5 years
Initial: 6000
Tax Rate: 5.99%
So at the end you would have paid $2,025.57
Eric has $25 to purchase magazines and to pay for his lunch. Each
magazine costs $4 and his lunch costs $15. Which inequality can be used
to determine how many magazines, m, Eric can buy?
A. 4m - 15 > 25
B. 4m - 15 < 25
C. 4m + 15 > 25
D. 4m + 15 = 25
Answer:
B
Step-by-step explanation:
The maximum amount Eric can spend on magazines is $25 less the cost of lunch, $15.
The appropriate inequality sign would be less than since he cannot spend more than $25.
Also, the amount he can spend on magazines would be what is left after paying for lunch.
So the correct inequality is 4m - 15 < 25
Hollister Shirt $10
5 % off plus 10 sales tax
What would be the sale price of this shirt?
I need help with this one
1) Volume = 16.76
2) Volume = 6052.8
3) Volume = 51.31
5) Volume = 555.18
6) Volume = 622.53
HOPE IT HELPS !!!!