Answer:
a) the probability that a randomly selected person fails to meet the activity guidelines or eats a poor diet is 0.83
b) the probability that a randomly selected person is leading a healthy lifestyle is 0.17
c) the probability that they all 4 people eat a poor diet assuming independence is 0.05308
d) the probability that the first one meets the Physical Activity Guidelines and the last two do not is 0.1364
Step-by-step explanation:
Given the data in the question;
Let E represent the events
E1 = P( person fails to meet CDC Physical Activity Guidelines ) = 0.77
E2 = P( person eats a poor diet ) = 0.48
E3 = P(E1 ∩ E2) = P( both ) = 42
a) What is the probability that a randomly selected person fails to meet the activity guidelines or eats a poor diet?
the probability that a person eats a poor diet or fails to meet the activity guidelines will be;
P( E1 ∪ E2 ) = P(E1) + P(E2) - P(E1 ∩ E2)
so we substitute
P( E1 ∪ E2 ) = 0.77 + 0.48 - 0.42 = 0.83
Therefore, the probability that a randomly selected person fails to meet the activity guidelines or eats a poor diet is 0.83
b) Find the probability that a randomly selected person is leading a healthy lifestyle. That is, they meet the Physical Activity Guidelines and eat a diet that is not poor?
In the light of De-Morgan’s Laws
P( [tex]E_1^c[/tex] ∩ [tex]E_2^c[/tex] ) = 1 - P( E1 ∪ E2 )
so
P( [tex]E_1^c[/tex] ∩ [tex]E_2^c[/tex] ) = 1 - 0.83 = 0.17
Therefore, the probability that a randomly selected person is leading a healthy lifestyle is 0.17
c) If you randomly select 4 people, what is the probability that they all eat a poor diet assuming independence?
if we select 4 people;
E2 = P( person eats a poor diet ) = 0.48
so
P = ( 0.48 )⁴ = 0.05308
Therefore, the probability that they all 4 people eat a poor diet assuming independence is 0.05308
d) If you randomly select 3 people, what is the probability that the first one meets the Physical Activity Guidelines and the last two do not?
we select 3 people;
P( person fails to meet CDC Physical Activity Guidelines ) = 0.77
P( person meet CDC Physical Activity Guidelines ) = 1 - 0.77 = 0.23
so
P = 0.23 × ( 0.77)²
P = 0.1364
Therefore, the probability that the first one meets the Physical Activity Guidelines and the last two do not is 0.1364
знайдіть розв'язок системи лінійних рівнянь 10x-6y = 18 9x+6y=39
Answer:
(-21, -38)
Step-by-step explanation:
Given the simultaneous equation
10x-6y = 18 ... 1
9x+6y=39 ...2
Using the Elimination method
Subtract
10x - 9x = 18 - 39
x = -21
substitute x = -21 into 1;
From 1:
10x-6y = 18
10(-21)-6y = 18
-210 - 6y = 18
-6y = 18+210
-6y = 228
y = 228/-6
y =-38
Hence the solution to the system is (-21, -38)
Grandma Bunga is 52 years older than Melati. She is 5 times older than Melati. How old
is Grandma Bunga?
Answer:
65
Step-by-step explanation:
x=52+y
x=5y
y=x/5
x=52+(x/5)
x-(x/5)=52
(5x-x)/5=52
4x=52×5
4x=260
x=260/4
x=65
Bunga is 65 yrs old
Metali is 13 yrs old
The sixth grade class is going to the local art musem's dinoaurexhibit. There was 52 students in the class. The total cost of the tickets for all the students is $364. What is the cost of one student ticket?
Help please due in 25 minutes !!!
Answer:
Option B is correct from question point of view..8/9+8/9
enter answer as a fraction
please answer me without spamming
Samir just finished renovating a house during the renovation he added a steel beam as a support the steel beam was 15 feet long and cost $135 complete the statement by selecting the correct dollar amount from the provided list
the cost of the beam was _______per yard
Answer:
$27
Step-by-step explanation:
According to your question. The complete cost was $135 for a fifteen feet long beam. If you are looking for the price per yard, a yard has three feet, therefore in fifteen feet, there are five yards.
15 divided into 3 equals 5
$135 divided into five equals $27
I hope this helps.
Alina's home is 15km from Sentosa. She cycles a distance of 8km. What percentage of the total distance does she have left to cover? Give your answer correct to 2 decimal places.
Answer:
55.5 percent of the way!!!!!!
2/3 divided by 5
Send help for me please
Answer: 0.13
Step-by-step explanation:
At the movies, tickets cost $12 for adults and $6.50 for kids under 12.
How many total tickets would someone get if they purchased 7 adult
tickets and 9 kids tickets? How many total tickets would someone get if
they purchased a adult tickets and k kids tickets?
Answer:
104 in total
6.5k+12a=18.5ka
Step-by-step explanation:
What is the surface area of the rectangular prism?
16 cm 2
48 cm 2
96 cm 2
80 cm 2
Answer:
Surface area = 80 cm²
Step-by-step explanation:
Surface Area of rectangular prism = 2(LW + LH + WH)
L = 4 cm
W = 4 cm
H = 3 cm
Plug in the values
Surface Area = 2(4*4 + 4*3 + 4*3) = 2(16 + 12 + 12)
Surface Area = 2(40) = 80 cm²
Which algebraic expression is a polynomial with a degree of 5?
3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5
Write an equation in slope-intercept form for the line with slope -3/4 and y-intercept for 3
Answer:
y=-3/4x+3
Step-by-step explanation:
The formula is y=mx+b
m is the slope
b is the y-intercept
If you plug it in, you get y=-3/4x+3
Hope this helps!
point b is 8 units away for the origin
Answer:
ok
Step-by-step explanation:
A veterinarian prescribed Christy, a 31-pound dog, an antibacterial medication in case an infection emerges after her teeth were cleaned. If the dosage is 8.75 mg for every pound, how much medicine was given?
Answer:
271.25 mg
Step-by-step explanation:
The amount of medicine will be equal to 271.25 mg.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that a veterinarian prescribed Christy, a 31-pound dog, an antibacterial medication in case an infection emerges after her teeth were cleaned. The dosage is 8.75 mg for every pound.
The amount of medicine will be calculated as below:-
Amount = 31 x 8.75
Amount = 271.25 mg
Therefore, the amount of medicine will be equal to 271.25 mg.
To know more about expression follow
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2. Three pairs of jeans and six shirts cost $104.25. The cost of 4 pairs of jeans and 5 shirts
is $112.15. Find the cost of each pair of jeans and each shirt.
Answer:jeans = x = 16.85
shirts = y = 8.95
Step-by-step explanation:
That’s the answer bud
[tex]4x - {x}^{3} [/tex]
1/3 divided by 4? Fractions
Answer:
1/12
Step-by-step explanation:
What is the recursive formula for this arithmetic sequence?
-7, -1, 5, 11, ...
Answer:
The answer is A
Step-by-step explanation:
why it is a is...
the first like is the # your arithmetic sentence starts with which is -1
the second line is what you do to get to the next #
each time you are adding 6
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is A.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
[tex]a_n = a_1 + (n-1)d[/tex]
Also, the recursive formula for any arithmetic series is given by the formula,
[tex]a_n = a_{(n-1)} + d\\\\[/tex]
Or, it can be also written as,
[tex]a_{(n+1)} = a_{n} + d[/tex]
where d is the difference and a₁ is the first term of the sequence.
For the given arithmetic sequence, the common difference can be written as,
Common difference = -1 - (-7)
= -1 + 7
= 6
Now, the recursive formula for this arithmetic sequence can be written as,
[tex]a_n = a_{(n-1)} + 6[/tex]
Also, the first term of the given arithmetic series is -7.
a₁ = -7
Hence, the correct option is A.
Learn more about Arithmetic Sequence:
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An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base of diameter
5.7 inches. In the new design, the chamber is scaled by a factor of 1.5.
The volume of the original chamber is
V cubic inches. This i
v cubic inches less than the volume of the new
chamber.
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³
is this a function ???????
10 x 3 thousands how many thousands are in the answer
Answer:
30 thousands, or 30,000 units.
Step-by-step explanation:
Since the question refers to 10 x 3 thousands, to determine how many thousands are in the answer, the following calculation must be performed:
10 x 3 = 30
So there are 30 thousand in the answer, which is equal to 30,000.
In a filling line at A & C Foods, Ltd., the mean fill volume for rice bubbles is 475 grams and the standard deviation is 10 grams. The design specifications are [450, 495] grams. Any output outside of design specifications is treated as non-conforming. (1) Calculate the dpmo of the process (by calculating the area of non-conformance). Please type your answer in integers.
Answer:
The dpmo of the process is of 29000
Step-by-step explanation:
Dpmo of a process:
The dpmo of a process is the number of defects per million opportunities.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
First, using the normal distribution, we calculate the proportion of defective bubbles. Then, using this proportion, we calculate the dpmo.
Mean fill volume for rice bubbles is 475 grams and the standard deviation is 10 grams.
This means that [tex]\mu = 475, \sigma = 10[/tex]
The design specifications are [450, 495] grams. Any output outside of design specifications is treated as non-conforming.
Below 450 and Above 495 are non-conforming.
Below 450:
The proportion is the pvalue of Z when X = 450. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{450 - 475}{10}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
Above 495:
The proportion is 1 subtracted by the pvalue of Z when X = 495. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{495 - 475}{10}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
The proportion of defectives is 0.0228 + 0.0062 = 0.0290
Dpmo:
Number of defects per million, that is, the proportion multiplied by 1000000.
1000000*0.0290 = 29000
The dpmo of the process is of 29000
A recipe for potato casserole calls for 7/4 cups of cheese. Write the fractions as a mixed number.
Need ASAP
What is the measure of angle m in kite klmn
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to two decimal places.) (1.999)3
Consider the function f(x) = x ³. Since 2³ = 8 is a perfect cube that is pretty close to x = 1.999, take the linear approximation to f(x) at x = 2. It is
f(x) ≈ L(x) = f (2) + f ' (2) (x - 2)
Compute the derivative:
f(x) = x ³ → f ' (x) = 3x ² → f ' (2) = 12
Then
L(x) = 8 + 12 (x - 2) = 12x - 16
Now approximate 1.999³ :
f (1.999) ≈ L (1.999) = 12•1.999 - 16 = 7.988
(Compare this to the actual value, 7.98801.)
CAN YOU ANSWE QUESTION 1 and 2 please??
Answer:
B. $700
Step-by-step explanation:
The answer is A because.....
Step 1: Find the 7% of 2000.
a.) 7% of 2000 is 140.
b.) Check- So: 140/2000= 0.07 (7%)
Step 2: Multiply 140x5 which equals $700.
Although, I can’t really see the second question‘s options, as the calculations made for the previous question, she paid $140 each year.
I rlly hope this is helpful! If so, please, please, please mark brainliest! Thanks! :)
Answer:
c
Step-by-step explanation:
Can someone tell me the answer pls
Answer: The second and the last answer are correct
Step-by-step explanation:
PLEASE SOLVE THIS FOR ME ITS MY MIDTERM
your class earned 90.00 saturday afternoon by washing cars to raise money for a class trip this is 1/6 of money needed for trip what is the total amount needed
Answer:
540
Step-by-step explanation:
We need 6 times 90 for the full amount.
Answer:
Total amount = 540
Step-by-step explanation:
let total amount = x
1/6 * x = 90
x = 540
According to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library. If 1004 people was polled, about how many were in favor of the expansion?
Answer:
Some 224 people were in favor of the expansion.
Step-by-step explanation:
Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:
1/4 = 0.25
100 = 1004
22.25 = X
1004 x 22.25 / 100 = X
223.39 = X
Thus, some 224 people were in favor of the expansion.