Answer:
Null Hypothesis:-H₀: P = 0.12
There is no difference between the percentage of volunteers selected from the college students.
Alternative Hypothesis:-H₁: P ≠ 0.12
There is a difference between the percentage of volunteers selected from the college students.
The calculated value Z = 0.5543 < 2.376 at 0.01 level of significance
The null hypothesis is accepted
There is a difference between the percentage of volunteers selected from the college students.
Step-by-step explanation:
Step(i):-
Given that the Population proportion P= 12% = 0.12
Given that the 331 randomly selected students who receive financial aid, 43 of them volunteered their time.
Sample proportion
[tex]p = \frac{x}{n} = \frac{43}{331} = 0.1299[/tex]
Step(ii):-
Null Hypothesis:-H₀: P = 0.12
There is a difference between the percentage of volunteers selected from the college students.
Alternative Hypothesis:-H₁: P ≠ 0.12
There is no difference between the percentage of volunteers selected from the college students.
Step(iii):-
Test statistic
[tex]Z = \frac{p-P }{\sqrt{\frac{PQ}{n } } }[/tex]
[tex]Z = \frac{0.1299-0.12 }{\sqrt{\frac{(0.12)(0.88)}{331 } } }[/tex]
Z = 0.5543
Level of significance = 0.01
Critical value Z₀.₀₁ = 2.376
Final answer:-
The calculated value Z = 0.5543 < 2.376 at 0.01 level of significance
The null hypothesis is accepted
There is a difference between the percentage of volunteers selected from the college students.
A bag contains 5 red marbles, 7 blue marbles and 2 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 1000th, that both
marbles drawn will be blue?
Answer:
0.218
Step-by-step explanation:
Triangles
• If one side of a triangular piece of yard area is roughly one-third the perimeter,
the second side is roughly one-fifth the perimeter, and the third side is 7yards,
what is the perimeter of the triangle?
Answer:
15m
Step-by-step explanation:
The third side = (2/3 - 1/5) of the perimeter = 7/15 of the perimeter = 7m
The first side is 1/3 (=5/15) of the perimeter = 5m
The second side is then 3m ( or 1/5=3/15 of the perimeter).
The triangle perimeter is 15 meters (=7 m+5m+3m)
Which are two ways to represent the slope, m, of the line shown?
A. m=1/4=2/8
B. m=1/2=4/8
C. m=8/4=2/1
D. m=4/1=8/2
A cat eats 2/3 cup of food each day. How many days will a bag containing 16
cuns of food last?
Answer:
The correct answer is 24
6/12 is less than 2/12?
Answer:
no
Step-by-step explanation:
Answer:
no its not
Step-by-step explanation:
cause they have the same denominator and 6 is more than 2 so there for 6/12 is not less than 2/12
what is 3335 ÷ 23
[tex]3335 \div 23[/tex]
Answer:
145
Step-by-step explanation:
If F(x)=-x+2 find f(4)
Answer:
-2
Step-by-step explanation:
f(x) = -x + 2
f(4) = -(4) + 2
f(4) = -2
11. What is the value of xin the solution to this system of equations?
3x - 5y = 22
y = -5x + 32
Answer:
x = ¹³⁄₂
y = ⁻¹⁄₂
Explanation:
[tex]\bold{\begin{bmatrix}3x-5y=22\\ y=-5x+32\end{bmatrix}}[/tex]
Substitute y = -5x + 32[tex]\bold{\begin{bmatrix}3x-5\left(-5x+32\right)=22\end{bmatrix}}[/tex]
Simplify[tex]\bold{\begin{bmatrix}28x-160=22\end{bmatrix}}[/tex]
Isolate x for 28x - 160 - 22: x = ¹³⁄₂[tex]\bold{\mathrm{For\:}y=-5x+32}[/tex]
Substitute x = ¹³⁄₂[tex]\bold{y=-5\cdot \frac{13}{2}+32}[/tex]
-5 · ¹³⁄₂ + 32 = ⁻¹⁄₂
y = ⁻¹⁄₂x = ¹³⁄₂
y = ⁻¹⁄₂
- Pacific Northwest
In what direction is a line with an undefined slope going?
A.
down and to the right
B.
horizontal
C.
vertical
D.
up and to the right
Answer:
I think it D-
I not that sure
17 dozen cookies
are made in 2
hours. At this rate,
how many are
made in 5 hours?
Answer:
= 12 miles per hour
Step-by-step explanation:
thats the answer i promise plus im in 6th grade
At a baseball game, a hamburger costs $2 more than
a hotdog. If 14 hamburgers and 13 hotdogs cost
$136, how much does each hamburger and hotdog
cost?
Show your work at the bottom of this page.
what is x? what is y? how much did a hamburger cost?
how much did a hotdog cost?
Answer:
Hamburger = $6
Hotdog = $4
Step-by-step explanation:
136 - 14(2) = 108
108 / 13 + 14 = 4
If a hamburger is 2 dollars more than you would just add 2 to this
WHO KNOWS THIS? I NEED HELP PLS
Answer:
Its D
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
Its -8
Step-by-step explanation:
PLEASE HELP ME
find m<5
Question
The following formula gives the area A of a trapezoid with base lengths b, and b2, and height h.
A = 1/2 (b1+ b2)h
Find the area of a trapezoid with base lengths 3 and 5 and a height of 9.
Answer:
36
Step-by-step explanation:
(1/2)(3+5)(9)
(1/2)(8)(9)
(4)(9)
36
Which one's are true???
Answer: I believe b and d
Step-by-step explanation:
Answer:
A is true b is true
Step-by-step explanation:
A.if u add a postive to a negative that is the same number u get 0
b. negative plus negative is positive
have a great day
HELPPPP ME PLEASEEE!!!!!! I'M GIVING BRAINLIEST
Jordan is planning to buy a vehicle. He has the following choices.
Type: sedan or SUV
Transmission: 5-speed or automatic
Color: red, blue, black, green, or silver
Top: sunroof or no sunroof
Jordan says that he has a total of 2 + 2 + 5 + 2, or 11, possible vehicle choices. What is Jordan’s error?
He should have multiplied the sum by 4.
He should have added only the choices for type and transmission.
He should have multiplied only the choices for type and transmission.
He should have multiplied the choices, instead of adding them.
Answer:
The answer is D
Step-by-step explanation:
I just did the test
Answer: (D) He should have multiplied the choices, instead of adding them.
Step-by-step explanation: I took the QUIZ and it was correct.
Since he added it doesn't show ALL the possible combinations, so he should have multiplied.
Hope I helped :D
Consider the line y=7x-5.
Find the equation of the line that is perpendicular to this line and passes through the point (-3, – 3).
Find the equation of the line that is parallel to this line and passes through the point (-3, – 3).
Equation of perpendicular line: 0
D=
Х
$
2
Equation of parallel line:
Answer:
a)The equation of the Parallel line to the given line is
7x -y +18 =0
b) The equation of the Perpendicular line to the given line is
-x +7y +18 =0
Step-by-step explanation:
Step(i):-
Given that equation of the line y = 7x -5
7x -y -5=0
The equation of the Parallel line to the given line is
7x -y +k=0
This line is passes through the point ( -3,-3)
7 ( -3) -(-3)+k=0
-21 +3+k=0
-18 +k=0
k =18
The equation of the Parallel line to the given line is
7x -y +18 =0
Step(ii):-
Given that equation of the line y = 7x -5
7x -y -5=0
The equation of the perpendicular line
b x -ay +k=0
The equation of the Perpendicular line to the given line is
-x +7y +k=0
This line is passes through the point ( -3,-3)
-(-3)+7(-3) +k=0
3 - 21 +k=0
-18 +k=0
k =18
The equation of the Perpendicular line to the given line is
-x +7y +18 =0
What is -4 4/5 into a decimal?
Answer:
-4.8
Step-by-step explanation:
-4 4/5 = -(4 + 4/5) = -(4 + 0.8) = -(4.8) = -4.8
Find the values of x and y.
48°
(5x - 17)
Х
and y =
Answer:
sabotageueehddydhdhdiejhf
Step-by-step explanation:
(5x+74)
find what y and x equals
y=-2x
y=2x-1
Answer:
The correct answer is "[tex]x=\frac{1}{4}[/tex]" and "[tex]y=-\frac{1}{2}[/tex]"
Step-by-step explanation:
As we know,
y = -2x ...(equation 1)
y = 2x-1 ...(equation 2)
On putting the value of "equation 1" in the "equation 2", we get
⇒ [tex]y=2x-1[/tex]
⇒ [tex]-2x=2x-1[/tex]
On adding "2x" both sides, we get
⇒ [tex]-2x+2x=2x-1+2x[/tex]
⇒ [tex]0=4x-1[/tex]
⇒ [tex]4x=1[/tex]
⇒ [tex]x=\frac{1}{4}[/tex]
Now,
On putting the value of "x" in equation 1, we get
⇒ [tex]y=-2x[/tex]
⇒ [tex]y=-2\times \frac{1}{4}[/tex]
⇒ [tex]y=-\frac{1}{2}[/tex]
PLSSSSS HELP I HAVE BEEN STUCK ON THIS FOR THE PAST HOUR!!!!!!!!!!!!!!!!!!!!!!!!!
Take a factor out of the square root and simplify the expression:
[tex]-0.05*\sqrt{28,800}[/tex]
Answer:
[tex] - 6 \sqrt{2} [/tex]
Step-by-step explanation:
simplify
[tex] \sqrt{28800} [/tex]
to
[tex]120 \sqrt{2} [/tex]
then
-0.05 × 120 = -6
then we have our answer
-6√2
Solve this for me please I will mark brainliest?
Answer:
There were 53 cakes ordered.
Step-by-step explanation:
☆Cross multiply.
[tex] \frac{3 \: cakes}{50.67 \: dollars} = \frac{x}{895.17 \: dollars} \\ \\ \frac{50.67x}{50.67} = \frac{2685.51}{50.67} \\ \\ x = 53[/tex]
▪Happy to help <3
constant of proportionality: k = y/x
- plug in numbers to find:
k = 84.45 / 5
= 16.89
so, constant of proportionality: 16.89
equation:
y = kx (now plug in)
y = 16.89x
- plug in again to find the amount of cakes
y = 16.89x
895.17 = 16.89x
x = 53
53 cakes
-- request: please mark brainiest, and click the thanks button if correct <3
HELPP FAST I'LL GIVE BRAINLIEST!!!!!!!!!!!
Answer:
CD is 60
i think
Step-by-step explanation:
Answer:
Step-by-step explanation:
its CD yeaah uhhh biyeeee
Is -(55/11) equal to -5
Nikhil, Davina and Sid share a tin of celebrations amongst themselves in the ratio of 8:12:20 respectively.
Given that Davina gets 48 sweets, how many sweets did Nikhil get?
Answer:
Step-by-step explanation:
the triangle and the trapezoid have the same base area. Base b2 is twice the area the length of b1. What are the lengths of the bases of the trapezoid?
Answer: b₁ = 7 and b₂ = 14.
Triangle: base=21 cm, height=6cm
Trapezoid: height=6 cm, b1=?, b2=?
Triangle -> A=bh/2 -> A=63 (b is base and h is height)
Trapezoid -> A=[(b₁+b₂)/2)]h (b₁ and b₂ are bases and h is height)
Since they have the same area, the formula will be:
63=[(b₁+2(b₁))/2)]h
x=7
Answer:
b₁ = 7 cm, b₂ = 14 cm
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 21 and h = 6, then
A = 0.5 × 21 × 6 = 63 cm²
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
Here A = 63 ( same as triangle ), h = 6 and b₂ = 2b₁ , then
0.5 × 6 × (b₁ + 2b₁ ) = 63
3 × 3b₁ = 63
9b₁ = 63 ( divide both sides by 9 )
b₁ = 7
and b₂ = 2 × 7 = 14
The bases of the trapezoid are 7 cm and 14 cm
How do we define argument?
Answer:
an exchange of diverging or opposite views, typically a heated or angry one.
What is the determinant of the coefficient matrix of the system
–7
–2
–1
0
Answer:
0
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just took the quiz on edg
The graph of which equation is shown?
Answer:
it should be
C. y = 2x +2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The starting point is 2. Where the line touches the y axis. The line as you see is going down which is negative. Pick 2 points on the graph where it’s touching. It is going down by 2. Hope this helps!
