The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.
What is Probability ?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
For a Normal Distribution, the z-score formula
[tex]z = \dfrac{X-\mu}{\sigma}[/tex]
Here X is the mean and sigma is the standard deviation.
Mean of 2.25% = 2.25
The standard deviation of 1.27%, sigma = 1.27
For Sample 31 the value of the standard deviation is
s = 1.27/√31
s = 0.2442
Substituting the values
Z = ( 2.25 -1.27)/0.2442
Z = 1.8
the p-value from the graph of z and p = 0.9643
To determine value of probability greater than X is 1 - 0.9643 = 0.0357
The Probability that the mean childhood asthma prevalence for the sample is greater than 2.7% is 0.0357.
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14.4.1:there are five girls in a tennis class. how many different doubles teams of two girls each can be formed from the students in the class?
The number of teams that can be formed is 10
How to determine the number of teams?The given parameters are:
Girls (n) = 5Teammate (r) = 2The number of teams is calculated as:
[tex]Team = ^nC_r[/tex]
So, we have:
[tex]Team = ^5C_2[/tex]
Apply the combination formula
Team = 10
Hence, the number of teams is 10
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What is the value of -3r+ 8 when r=4
PLEASE HELP!! I cant choose!
Tariq refuses to shoplift from the neighborhood store because he believes stealing is wrong. What concept is this an example of?
A) Self-efficacy
B) Empathy
C) Perspective
D) Ethics
in a school of 330 students , 85 of them are in drama ,200 of them are in a sports teAM AND 60 OF THEM DO DRAMA AND SPORTS.
fIND THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS
THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS is 7/22.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Let's denote students
D = in the drama club ,
S = in a sports team
So, P(D) = 85/330
P(S) = 200/330
P(D and S) = 60/300
P(D or S) = P(D) + P(S) - P(D and S)
P(D or S) = 85/330 + 200/330 - 60/330
P(D or S) = 15/22
P(neither D nor S) = 1- 15/22
P(neither D nor S) = 7/22
Thus, THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS is 7/22.
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find the equation of the line:
The slope of AB is (0-4)/(-2-0)=2, so since perpendicular lines have negative reciprocal slopes, the slope of the perpendicular line is -0.5.
So, the equation of the line is:
y + 1 = -0.5(x - 5)
y + 1 = -0.5x + 2.5
y = -0.5x + 1.5
Solve5x+3=23
answers:
4
5.5
15
25
What is the y-intercept of this line?
y = =+5
b = [?]
Answer:
b = 5
Step-by-step explanation:
The y intercept is the value when x =0
y = mx+b where b is the y intercept
b = 5
Answer:
b = 5
Step-by-step explanation:
Slope-Intercept form: y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)[tex]\sf \textsf{Given:}\ \dfrac{-4x}{3}+5[/tex]
[tex]\sf \textsf{slope:}-\dfrac{4}{3}[/tex][tex]\sf \textsf{y-intercept:}\ 5[/tex]Therefore, the value of b is 5.
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Estimate the size of a crowd at a concert where the area is 100 feet by 300 feet
(approximately the size of a football field). Assume 1 person for each 2.5 square feet.
a. 12,000
b. 10,000
c. 24,000
d. 5,000
The size of the crowd is 12,000
What is area of plane shape?This is the portion covered by the shape.
Analysis:
Area of field = 100 x 300 = 30000 square feet
If 1 person covers 2.5 square feet of the file then 30000/2.5 = 12,000 persons will cover the whole field.
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What is the rate of change ( slope) for the given line
It’s extremely hard to tell, but it looks like it’s 3 over 2, which is 3/2.
3/2 is 1.5, or just 3/2. Since the line is going down, the slope would be negative, so -3/2.
Hope this helps!
Answer:
Step-by-step explanation:
-3/2 i think
THis might be wrong tho
What is the area of the target that earns at least 30 points on a throw?
Select the correct from the drop-down menu.
The area of the target that earns at least 30 points on a throw is 379.94 square inches
How to determine the area?The target areas that earn at least 30 points on a throw are:
30-point, 40-point and 50-point
From the question, we have:
So, the total radius is:
r = 3 + 4 + 4
Evaluate the sum
r = 11
The area is then calculated as:
A = πr²
This gives
A = 3.14 * 11²
Evaluate
A = 379.94
Hence, the area of the target that earns at least 30 points on a throw is 379.94 square inches
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Answer:
49 square inches
Step-by-step explanation:
edmentum/ Plato hope this helps
Please help!! A. 170 B. 205 C. 230 D. 105
Answer:
D. 105
Step-by-step explanation:
500-270, there's 230 total 2 head.
270-100 of one head, is 170 purple one head. 170+125 purple equals 295.
296 subtract from 500 total is 205 for total green.
205-100, 105 2 head.
MATH!!! 15 points ;)) find the volume of the composite figure
please answer correctly and check over your work...
Answer:
(2*2*1.5*1/3)+(2*1.5*4)= 14
Step-by-step explanation:
To find the area of a pyramid, you use the equation of 1/3 *lwh. When we place the values in there, we get 2*2*1.5*1/3, which is equal to 2. Then we solve the bottom part. Since it is a rectangular prism, we use the equation of lwh. When we insert the values, we get 2*1.5*4, which is equal to 12. Now, we take these two values of 2 and 12 and we combine them, giving us our final answer of 14.
5. (3.5pts) Given the equation y = y²x+2 cos(x) find . Show each step of your work.
dx
Answer:
[tex]\dfrac{dy}{dx}=\dfrac{y^2-2 \sin(x)}{1-2xy}[/tex]
Step-by-step explanation:
Given equation:
[tex]y=y^2x+2 \cos(x)[/tex]
To find the derivative of the given equation, use implicit differentiation.
Add d/dx in front of each term:
[tex]\dfrac{d}{dx}\:y =\dfrac{d}{dx}\:y^2x+\dfrac{d}{dx}\:2 \cos(x)[/tex]
Differentiate terms in x only (and constant terms) with respect to x:
[tex]\dfrac{d}{dx}\:y =\dfrac{d}{dx}\:y^2x-2 \sin(x)[/tex]
Use the chain rule to differentiate terms in y only:
(in practice this means to differentiate with respect to y then place dy/dx on the end)
[tex]\dfrac{dy}{dx}\: =\dfrac{d}{dx}\:y^2x-2 \sin(x)[/tex]
Use the product rule on the term in x and y:
[tex]\textsf{let }u=y^2 \implies \dfrac{du}{dx}=2y \dfrac{dy}{dx}[/tex]
[tex]\textsf{let }v=x \implies \dfrac{dv}{dx}=1[/tex]
[tex]\implies u\dfrac{dv}{dx}+v\dfrac{du}{dx}=y^2+2xy \dfrac{dy}{dx}[/tex]
Therefore:
[tex]\dfrac{dy}{dx} =y^2+2xy \dfrac{dy}{dx}-2 \sin(x)[/tex]
Rearrange to make dy/dx the subject:
[tex]\dfrac{dy}{dx}-2xy \dfrac{dy}{dx} =y^2-2 \sin(x)[/tex]
[tex]\dfrac{dy}{dx}(1-2xy)=y^2-2 \sin(x)[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{y^2-2 \sin(x)}{1-2xy}[/tex]
Is the graph increasing, decreasing, or constant?
Answer:
Decreasing
Step-by-step explanation:
Because the equation of that graph is Y=-X, and the - in the X represents that the graph is decreasing.
X • 1/5 = 60 Find out what x represents. Show work.
Answer:
x*1/5=60
5[x*1/5=60]
x=5*60
x=300
Step-by-step explanation:
-introduce the multiplicative inverse of 1/5 to the equation.
- 5*1/5 gives 1 on L.H.S
-Similarly 5*60 gives 300 on R.H.S
-finally x=300
Complete the table of inputs and outputs for the given function.
g(x)=3-8x
The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that g(x) = 3 - 8x, hence:
When x = -3; g(-3) = 3 - 8(-3) = 27
When x = -1; g(-1) = 3 - 8(-1) = 11
When x = 0; g(0) = 3 - 8(0) = 3
When x = 1; g(1) = 3 - 8(1) = 5
When x = 3; g(3) = 3 - 8(3) = 21
The inputs and outputs for the given function g(x) = 3 - 8x is (-3, 27), (-1, 11), (0, 3), (1, 5) and (3, 21).
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The depth of a diver is her distance below sea level because depth represents a distance
The depth of the diver is 32 feet below sea level.
What is the angle of elevation?The angle of elevation is the angle between the observer's eyesight horizontal line and the object. The complete question can be seen in the image attached below.
The depth of the diver is the absolute value of -32 since it can't be negative.
= |-32|
= 32
Therefore, we can conclude that the depth of the diver is 32 feet below sea level.
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Select the correct answer from each drop-down menu. two six-sided fair dice are rolled simultaneously. the probability that the sum of the two numbers rolled is greater than 3, given that the sum of the numbers is not greater than 5, is . the probability that one of the numbers is a 6 and the sum of the two numbers is an odd number is .
Two six-sided fair dice are rolled simultaneously.... 6 and the sum of the two numbers is an odd number is mathematically given as
x=7/10
What is the sum of the two numbers?Generally, the equation for Number is mathematically given as
[tex]x=P\frac{E > 3}{Enot > 5}\\\\Therefore\\\\x=P\frac{E > 3}{E\leq5}\\\\x=P\frac{4\leq E \leq5}{E\leq5}\\\\x=P\frac{7/36}{10/36}[/tex]
x=7/10
In conclusion, the sum of the two numbers
x=7/10
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Find an angle between 0 degrees and 360 degrees and that is coterminal with 1260 degrees.
Answer:
The 180 degrees angle.
Step-by-step explanation:
We can start by dividing 1260 / 360 = 1080. Therefore, a 1080 degrees angle would be coterminal with 360.
Now we take 1260 - 1080, to see how many degrees we have left, this gives us: 180, therefore, the angle between 0 and 360 that is coterminal with 1260 degrees is the 180 degrees angle.
Given:
AD = CB
DC = BA
Prove:
∠3 = ∠2
Which of the following triangle congruence theorems would be used in this proof?
ASA
AAS
SSS
The congruence theorem that can be used to prove that both triangles are congruent is: C. SSS.
What is the SSS Congruence Theorem?The SSS congruence theorem is a triangle theorem which states that two triangle are congruent if they have three pairs of corresponding sides that are congruent.
The triangles in the image given have the following three corresponding sides that are congruent:
AD ≅ CBDC ≅ BAAC ≅ CA (reflexive property)Therefore, the congruence theorem to prove they are congruent is: C. SSS.
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In which number does the 7 have a value that is 1/100 the value of the 7 in 468.705?
A 564.270
B 695.187
C 713.442
D 870.349
NEED HELP ASAP
Answer:
B 695.187
because 7 in 468.705 has value 1/10
1/100×1/100 is 1/1000 which is 0.007.
Answer:
B. 695.187
Explanation:
In the number 468.705, the number 7 is in tenths place (0.1)
If the value of 7 in that number which is 0.1 has value of 1/100, then
0.1 × 1/100 = 0.001 (thousand place)
Then the number 7 will be in thousands place: 0.007
Among options, option B (695.187) has the value of 7 in thousands place.
Now Ann is x years old and her sister is eight years younger than her. After five years , Anne's age is twice the age of her sister.
Write down the ages of Anne and her sister after five years in terms of x.
Please help me friends
Answer:
You can refer to the given attachment
how many terms does the expression 6a + 3ab + 2 have
Answer:
3 terms
Step-by-step explanation:
6a is a term
3ab is a term
2 is a term
A sequence is defined recursively by the formula f(n 1) = f(n) 3 . the first term of the sequence is –4. what is the next term in the sequence? –7 –1 1 7
The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)
How to determine an element of a sequence
In mathematics, sequences are sets whose elements observe at least a condition, which is represented by a recursion formula in this question:
f(n + 1) = f(n) + 3
Thus, the following term of the sequence is:
f(2) = f(1) + 3
f(2) = - 4 + 3
f(2) = - 1
The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)
Remark
The statement is poorly formatted and reports typing mistakes. Correct statement is:
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3. The first term of the sequence is - 4. What is the next term in the sequence? a) - 7, b) - 1, c) 1, d) 7
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When accessing your credit card information online, you cannot ___
see statements
view the balance
make purchases
view the bill due dates
When accessing your credit card information online, you cannot makes purchase.
What is credit card?A credit card is a card that enables a card holder to buy or purchase things online on credit.
A credit card holder can carryout the following when accessing their credit card data online:
See their statementsView their balanceView their bill due datesTherefore the correct option is C.
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Any ideas for solving this beast
Answer:
option c
Step-by-step explanation:
Help me with number 14 plss
Answer:
-3 1/5
Step-by-step explanation:
to find the slope of the line you use the equation (y2 - 1) / (x2 - x1)
when plugged in you get
(5 + 3) / (-2 1/4 - 1/4)
then you do what is inside the parenthesis
8 / -2 1/2
8 / -2.5
lastly you divide
you get -3 1/5
that is your answer
Find the value of x that makes line m parallel to line n.
Answer: x = 20
Step-by-step explanation:
If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).
This means we will set them equal to each other and solve for x.
Given:
(4x - 23) = (2x + 17)
Add 23 to both sides of the equation:
4x = 2x + 40
Subtract 2x from both sides of the equation:
2x = 40
Divide both sides of the equation by 2:
x = 20
Eric plays basketball and volleyball for a total of 95 minutes every day. he plays basketball for 25 minutes longer than he plays volleyball. part a: write a pair of linear equations to show the relationship between the number of minutes eric plays basketball (x) and the number of minutes he plays volleyball (y) every day. (5 points) part b: how much time does eric spend playing volleyball every day? show your work. (3 points) part c: is it possible for eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95 minutes and plays basketball for 25 minutes longer than he plays volleyball? explain your reasoning. (2 points)
Answer:
a-x=y+25
b-35 minutes
c-nort possible
Step-by-step explanation:
can't explain due to the fact it will take 30m to type up
¿Qué número es 100 más que 897?
Answer:
997
Step-by-step explanation:
Hope this helps a little.