Answer:
uhh. False?
Step-by-step explanation:
8+4=12 which is more than 9. I'm assuming it's true or false.
A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Houston. The study was performed at the end of the school year and asked each if they had used steroids at any point in the last school year. Of the upperclassmen, 25 claimed to have used steroids in the last school year, and of the underclassmen, 19 claimed to have used steroids. Run a 95% confidence interval to test for a significant difference in the proportions of students who used steroids.
Answer:
[tex]-0.048<P_1-P_2<0.036[/tex]
Do not reject [tex]H_0:P_1-P_2=0[/tex]
Step-by-step explanation:
From the question we are told that
Sample size [tex]n_1=350[/tex]
Sample size [tex]n_2=250[/tex]
Sample proportion 1 [tex]\hat P= \frac{25}{350} =>0.07[/tex]
Sample proportion 2 [tex]\hat P= \frac{19}{250} =>0.076[/tex]
95% confidence interval
Generally for 95% confidence level
Level of significance
[tex]\alpha = 1-0.95=>0.05[/tex]
[tex]\alpha /2=\frac{0.05}{2} =>0.025[/tex]
Therefore
[tex]Z_a_/_2=1.96[/tex]
Generally the equation for confidence interval between [tex]P_1 - P_2[/tex] is mathematically given as
[tex](\hat P_1-\hat P_2)\pm Z_a_/_2\sqrt{\frac{\hat P_1(1-\hat P_1)}{n_1}+\frac{\hat P_2(1-\hat P_2)}{n_2} }[/tex]
[tex](0.07-0.076)\pm 1.96\sqrt{\frac{0.07(1-0.07)}{350}+\frac{0.076(1-0.076)}{250} }[/tex]
[tex](0.07-0.076)\pm 1.96\sqrt{4.66896*10^-^4 }[/tex]
[tex](-0.006)\pm 0.042[/tex]
[tex](-0.006)- 0.042=>-0.048[/tex]
[tex](-0.006)+ 0.042=>0.036[/tex]
Therefore
Confidence interval is
[tex]-0.048<P_1-P_2<0.036[/tex]
Conclusion
Given the confidence interval has zero
Therefore do not reject [tex]H_0:P_1-P_2=0[/tex]
Find the area of the Composite Shape:
Please Help!
Answer:
151.27 cm^2
Step-by-step explanation:
We can tell that the radius of the semicircle is 5 cm. This is because the diameter is 10 cm (16 cm - 6 cm).
Area of Circle:
A(c) = π[tex]r^{2}[/tex]/2 = π(5 cm)^2/2 = 25π cm^2/2 = 78.54 cm^2/2 = 39.27 cm^2
Area of Rectangle:
A(r) = 16 cm * 7 cm = 112 cm^2
A = A(c) + A(r) = 39.27 cm^2 + 112 cm^2 = 151.27 cm^2
please solve will mark brainliest
Answer:
Plot A has a greater median than Plot B, but Plot B has a greater mean.
Step-by-step explanation:
hope this helps
The power generated by an electrical circuit (in watts) as a function of its current xxx (in amperes) is modeled by:
P(x)=-12x^2+120xP(x)=−12x
2
+120xP, left parenthesis, x, right parenthesis, equals, minus, 12, x, squared, plus, 120, x
What is the maximum power generated by the circuit?
watts
Answer:
300watts
Step-by-step explanation:
Given the power generated by an electrical device modeled by the equation
P(x) = -12x²+120x
The maximum power generated occurs when dP(x)/dx = 0
dP(x)/dx = -24x+120 = 0
-24x + 120 = 0
-24x = -120
x = 120/24
x = 5
Substitute x = 5 into the modeled function to get the maximum power as shown;
Recall that: P(x)=-12x^2+120x
P(5) = -12(5)² + 120(5)
P(5) = -12(25) + 600
P(5) = -300+600
P(5) = 300
Hence the maximum power generated by the circuit is 300watts
(10^z/6) (10^z/8)=10^10
i need help on this: Kyle has run 7 laps around the track. If he plans to run 15 laps, how many more laps must he run?
Answer:
eight
7+8=15
15-7=8
Step-by-step explanation:
7+8=15
15-7=8
josh, lisa, and vicki each ate 1/4 or their own pizza. each pizza was the same size , but josh ate 1 slice, lisa ate 2 slices and vicki ate 3 slice. How is this possible.
Answer:
Josh's pizza was cut into 4 peices,Lisa's pizz was cut into 8 slices and viki's pizza was cut into 12 peices
Step-by-step explanation:
so this is possible because all of their pizza's were cut in to different amount of slices
Answer:
Step-by-step explanation:
Because Josh's pizza was in 4ths and he only ate one piece, Lisa's pizza was in 8ths and she ate two 8ths of the pizza which also equals 1/4 of a pizza, and Vicki's pizza was in 12ths and she ate three slices which equals 1/8 of a pizza and another 1/12 of the pizza, or also equals 1/4 of a pizza, so THAT is how it is possible.
Estimate the solution to the system of equations.
y=4x-2 & y=x+3
9514 1404 393
Answer:
(x y) = (1 2/3, 4 2/3)
Step-by-step explanation:
We're not sure the basis you're intended to use for estimating. Perhaps you're given a graph, or are intended to draw a graph. The attachment from a graphing calculator is able to tell us what the point of intersection is.
(x, y) = (1 2/3, 4 2/3)
__
The only "estimate" we need to make is that 0.667 ≈ 2/3.
Expression 1 is -12x + 3
Expression 2 is 10x - 15x + 96
Write an expression to represent expression 2 being subtracted from expression 1.
Answer:
-12 + 3 - (10x - 15x + 96)
Step-by-step explanation:
Determine the value of x
Answer: 116 Degrees
Step-by-step explanation:
540 is what the pentagon equals! You add up all of the sides, the square equals 90 degrees because it's a right angle. 121+115+98+90 equals 424. You subtract 540 - 424 and you get 116, which is x! Good luck!
. A cell phone company has three different production sites. Five percent of the cars from Site 1, 7% from Site 2, and 9% from Site 3 have been recalled due to unexpected shutdown issue. Suppose that 60% of the phones are produced at Site 1, 30% at Site 2, and 10% at Site 3. If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3 (write it up to second decimal place)
Answer:
0.15 = 15% probability that it came from Site 3
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Being recalled
Event B: Recalled from site 3.
Probability of being recalled:
5% of 60%(from site 1)
7% of 30%(from site 2)
9% of 10%(from site 3).
So
[tex]P(A) = 0.05*0.6 + 0.07*0.3 + 0.09*0.1 = 0.06[/tex]
Probability of being recalled, being from site 3.
9% of 10%.
[tex]P(A \cap B) = 0.09*0.1 = 0.009[/tex]
If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.06} = 0.15[/tex]
0.15 = 15% probability that it came from Site 3
1. If you make 8 1/5 cookies in 1/4 of an hour, how many cookies can you make in one hour? Find
the unit rate.
Answer:
32.8
Step-by-step explanation:
you divide 8 1/5 by 1/4 to find the unit rate.
If 2pounds of fruit cost $6 how much pounds of grapes will cost if for $1
For Oscar's birthday, his grandparents gave him a 100 dollar gift card to a local movie theater. The theater charges 12 dollars for each movie write an explicit and recursive rule for the sequence
Answer:
Move 100 to the left of a
100 a
List of all of the solutions
ax100=100a
12= 100a
Help
Rjrjrhrjrjrjjrjrjrjrjrhrh
Answer:
48
Step-by-step explanation:
Apply pythagorean theorem, a² = c² - b²
Where, a = third side
b = 55
c = 73
Plug in the values
a² = 73² - 55²
a² = 2,304
a = √2,304 = 48
a = 48
0.62 devided by 3 please
Answer:
0.206 and then it repeats 6 over and over again
Step-by-step explanation:
hope it helped :)
Answer:
hey there!Step-by-step explanation:
the answer is:
0.20666666666
hope it helped and have a nice day!A telephone pole breaks and falls as shown. To the nearest foot, what is the value of x, if the original height of the pole is 15 ft?
A. 10 ft
B. 9 ft
C. 7 ft
D. 5 ft
{Please help ASAP!!}
Answer:
8.66 feet or 5sqrt(3) feet
Step-by-step explanation:
If the original length of the pole was 15ft and the unbroken section is 5ft, then the broken part (diagonal) has a length of 15-5 = 10ft
Using the Pythagorean Theorem, we can calculate the length of x:
a^2+b^2=c^2
5^2+b^2=10^2
25+b^2=100
b^2=75
b=sqrt(75)
b=5sqrt(3)
b=8.66
So the value of x is 8.66ft or 5sqrt(3)ft
Standard form of 2057
Answer: 2,000 + 50 + 7
Answer: 2.057 x 10^3
Step-by-step explanation:
Is the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a right triangle?
Is the triangle a right triangle?
Ο Νο
Yes
Answer:
We have, from distance formula.
AB² = (5-0)² + (2-6)² = 5² + 4² = 25 + 16 = 41
BC² = (0+5)² + (6+7)² = 5² + 13² = 25 + 169 =194
AC² = (5+5)² + (2+7)² = 10² + 9² = 100+81 = 181
Here, BC² ≠ AB² + AC².
So, the triangle is not a right triangle
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
No, the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a not right triangle
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Triangle:
Vertices = A(5, 2), B(0, 6), and C(-5, -7)
The distance between the vertices A and B.
The distance between the vertices B and C.
The distance between the vertices A and C.
The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}[/tex]
Now,
The distance between the vertices A and B.
= [tex]\sqrt{(0 - 5)^2+(6 - 2)^2}[/tex]
= √(25 + 16)
= √(41
The distance between the vertices B and C.
= [tex]\sqrt{(-5 - 0)^2+(-7 - 6)^2}[/tex]
= √(25 + 169)
= √194
The distance between the vertices A and C.
= [tex]\sqrt{(-5 - 5)^2+(-7 - 2)^2}[/tex]
= √(25 + 81)
= √106
Applying the Pythagorean theorem.
We do not get any possible ways to prove the theorem.
194 = 41 + 106
194 ≠ 147
Thus,
No, the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a not right triangle
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
If 10 is multiplied by a number, x and the result is added to 5, this statement may be written in algebra as: A. 15 B. 5+10x. C. 20 D. 15x
Answer:
the answer is A. 15 :))) hope i helped!!
Answer:
D 15x
Step-by-step explanation:
because you add 10+5 which is 15 and it still needs to be multiplied by x so the result is 15x and what ever x is is what it would be multiplied by
Is 0.03<0.1 correct?
Answer:
yes
Step-by-step explanation:
This is correct because 0.1 or 0.10 is greater than 0.03
NEED HELP FAST Will mark brainlest !!!
What is the value of x when (m o n)() = 2,
OA. -1.5
OB. 3
OC -3
OD. 0
Answer:
C
Step-by-step explanation:
We want to find the value of x such that:
[tex](m\circ n)(x)=2[/tex]
Recall that this is equivalent to:
[tex]m(n(x))=2[/tex]
Note that the outside function is m(x) and the inside function is n(x).
So, for the function to equate to 2, our input must allow the outside function to equal 2.
From the graph, we can see that m(1)=2.
Therefore n(x) must be 1.
And using the table, we can see that n(-3)=1.
So, the value of x is -3.
Checking, we see that:
[tex]m(n(x))\Rightarrow m(n(-3))=m(1)=2\checkmark[/tex]
Our answer is C.
Answer:
-3
Step-by-step explanation:
i got it right on Plato
solve for sin3theta
Answer:
sin 3 θ = 3 sin θ - 4 sin³θ
Step-by-step explanation:
Step(i):-
Given sin 3 θ
= sin ( 2θ + θ )
apply trigonometric formula
sin ( A + B) = sin A cos B + cos A sin B
sin 2 A = 2 sin A cos B
Cos 2 A = 1 - 2 sin² A
cos ² A - sin ² A = 1
Step(ii):-
sin 3 θ = sin ( 2θ + θ )
= sin 2θ cosθ + cos2θ sin θ
= 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ
= 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ
= 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ
= 2 sin θ - 2sin³θ + sin θ- 2 sin³ θ
= 3 sin θ - 4 sin³θ
Final answer :-
sin 3 θ = 3 sin θ - 4 sin³θ
What is the coefficient in the following equation: p - 6 = 3
Answer:
1
Step-by-step explanation:
The coefficient is the number being multiplied with the variable, since p is simply just p, it's just being multiplied by 1.
Answer:
There is no coefficient
A square sign has a height and width of 2 1/2 feet. Will the area of the sign be greater or less that 2 1/2 square
Answer:
Greater
Step-by-step explanation:
Area of the square sign = L²
L is the side length of the square
Given
L = 2 1/2 feet
Area of the sign = 2 1/2 * 2 1/2
Area of the sign = 5/2 * 5/2
Area of the sign = 25/4
Area of the sign = 8 1/4 square feet
This shows that the area of the sign will be greater than 2 1/2 square feet
Pls help urgently extra points and mark brainlist
Answer:
1/36
Step-by-step explanation:
To multiply fractions, multiply the numerators and denominators straight across and keep them in the same spots.
Answer:
I think the answer is 1/36
Step-by-step explanation:
In the figure shown, line l is parallel to line m. Which of the following equations must be true
Winston drew a scale drawing of a neighborhood park. A soccer field in the park is 9 inches wide in the drawing. The actual field is 63 yards wide. What scale did Winston use for the drawing?
YOUR PFP IS AMAZING!!!! w(ﾟДﾟ)w
Btw in the drawing the width 160 inches || you have to divide the 64 yds by the 2 from the scale then multiply by 5 inches (5 in= 2 yds) then you get 160.
Which rate is equivalent to the unit rate of 14 miles per gallon?
Answer:
42/3
Step-by-step explanation:
Hey I need help I know how to do it i just put it on here so ppl can get points
Answer:
Step-by-step explanation:
Why?....
Answer:
:)
Step-by-step explanation:
