Answer:
The recycling incentive was effective at 5% significance level.
Step-by-step explanation:
The null and alternative hypothesis are
H0 u1≤ u2 against the claim Ha: u1> u2
or
H0 ud=0 against the claim Ha: ud > 0
The significance level is ∝=0.05
Data given
d`= 3.78
sd= 1.33
n= 10
The test statistic is
t= d`/ sd/ √n
t= 3.78/1.33/√10
t= 9.3889
The critical region for ∝=0.05 and df.= (n-1)= 9 is t> 1.833
Since the calculated value of t lies in the critical region it is concluded that new recycling incentive would increase the number of people that seperate their garbage from recyclable items.
H0 is rejected and Ha is accepted.
Write the fraction as a decimal and as a percent.
1
4
1
3
Answer:
1/4 as decimal =0.25
and as percentage 25%
1/ 3 as decimal = 0.33
and as percentage = 33.33%
The Clothes Barn is having a 65% off sale on all the dresses. Jennifer paid $43.75 for a dress that was on
sale. What was the original price of the dress?
1. $125.00
2. $28.44
3. $15.31
4. $105.00
Answer:A
Step-by-step explanation:
I used the process of elimination. I did, 125 x .65 to get 81.25. Then, I subtracted 81.25 to 125. To get 43.75.
The original price of the dress was $125.00.
What is the percentage?A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred.
How to solve this problem?Given that the discount = 65%
Sale price = $43.75
Let the original price of the dress is $x.
Now, sale price = x - x * 65% = x - x * 65/100 = (100 - 65)x/100 = 35x/100
We can write
35x/100 = 43.75
i.e. x = (43.75 * 100)/35 = 4375/35 = 125
Therefore, the original price of the dress was $125.00. So, option 1 is correct.
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4log(2) x + log(2)5 = log(2)405
Answer:
3/2
Step-by-step explanation:
A school has 510 male students and 850 female students. If a student from the school is selected at random, what is the probability that the student would be a male?
- 0.5
- 1
- 0.375
- 0.625
Answer:
0.375
Step-by-step explanation:
510 male out of a total of 1360
510/1360 = 0.375
HELP ASAP DUE TOMORROW
Answer:
5) P (arrive) + P (not arrive) = 100% Complements
80% + P( not arrive) = 100% Substitute thr ralees
P ( not arraive) = 100% - 80% Isolate the needed
P ( not arrive) = 20%
therefor, the probability of not arriving on time is:-
20%, or 0.20, or 1/5
The complements of arriving on time is not arriving on time.
The probability is equal to 100%
--------------------------------
hope it helps..
have a great day!
help with Inscribed angles!!!!!!!!!!!!!!!!!!!!
Answer:
x = 30°
x = 80°
Step-by-step explanation:
Recall: an inscribed angle is half the measure of the intercepted arc
Thus:
x = ½(arc cb)
Substitute
x = ½(60)
x = 30°
x = ½(arc ab)
Substitute
x = ½(160)
x = 80°
What is product of 3x-4 an 5x^2-2x+6
help me please, please, please
Step-by-step explanation:
[tex]thank \: you[/tex]
A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s = 17.6 milligrams. A confidence interval of 173.8 mg < μ < 196.2 mg is constructed for the true mean cholesterol content of all such eggs. It was assumed that the population has a normal distribution. What confidence level does this interval represent?
Answer:
The appropriate solution is "95%".
Step-by-step explanation:
The given values are:
Lower bound,
= 173.8
Upper bound,
= 196.2
Mean of cholesterol,
= 138 milligrams
S = 17.6 mg
Now,
The margin of error (E) will be:
= [tex]\frac{Upper \ bound-Lower \ bound}{2}[/tex]
= [tex]\frac{196.2-173.8}{2}[/tex]
= [tex]\frac{22.4}{2}[/tex]
= [tex]11.2[/tex]
As we know,
⇒ [tex]E=t_{\alpha 12}\times \frac{S}{\sqrt{n} }[/tex]
On putting the values, we get
⇒ [tex]11.2=t_{\alpha 12}\times \frac{17.6}{\sqrt{12} }[/tex]
On applying cross-multiplication, we get
⇒ [tex]t_{\alpha 12}=2.2044[/tex]
∴ [tex]\frac{\alpha}{2} =0.025[/tex]
[tex]\alpha = 0.025\times 2[/tex]
[tex]=0.05[/tex]
hence,
The confidence level will be:
⇒ [tex]CI=1-\alpha[/tex]
⇒ [tex]=1-0.05[/tex]
⇒ [tex]=0.95[/tex]
⇒ [tex]=95[/tex]%
plzzzzz help me is for mathhhh
or the figure shown on the right, find m∠3 and m∠4.
Answer:
m<3=84
m<4=96
Step-by-step explanation:
180-43-41=96
180-96=84
The measure of ∠3 is 96° and measure of ∠4 is 64°.
What is Triangle?
A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.
Given that;
In triangle,
Measure of first angle (m ∠1 ) = 43°
Measure of second angle (m ∠2) = 41°
Let measure of ∠4 = x degree
Now, Sum of all angles in a triangle be 180 degree.
So, We can formulate;
m∠1 + m∠2 + m∠3 = 180°
43° + 41° + x = 180°
84° + x = 180°
x = 180° - 84°
x = 96°
So, measure of ∠3 = 96°
Since, The measure of ∠3 and measure of ∠4 are supplementary angles.
Hence, We get;
m ∠3 + m ∠4 = 180°
96° + m ∠4 = 180°
m ∠4 = 180° - 96°
m ∠4 = 64°
Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.
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-3.5 + 7.75 + 6.9 (4.3)
Answer:
33.92
Step-by-step explanation:
Math! Please help marking brainliest if it's correct and Explain
Answer:
D. The median, 5, is greater than the mean, 4,
Step-by-step explanation:
Median: Put them from least to greatest, ( but they are) then find the middle
Mean: Add all the numbers together= 20, divide that by the numbers you added from 5: 20/5=4
5 from median is < than mean 4
Plz like and brainly :D
Hope this helps
what is 1/3 plus 4/5
Answer:
1.13333333333
Step-by-step explanation:
sorry if it’s wrong!
A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of
$0.47. A brand new restaurant wants to get noticed by offering appetizers for a much lower price. To determine the
lower price, should the formula use a z-value that is greater than or less than-1?
a. Greater than -1
C. Greater than 1
b. Less than -1
d. Either way, it doesn't matter
Please select the best answer from the choices provided
A
B
1. Sandra is trying to determine the height of a light pole at the corner of the block on
which she lives. The shadow cast by the light pole is 5 feet.
If the angle of elevation from the sidewalk to the top of the light pole is represented
as e, which equation could be used to find the height of the light pole?
Answer:
h = 5(tane)
Step-by-step explanation:
The diagrammatic representation of the question given is attached below ;
The height of the light pole, h = opposite side
Adjacent side = 5 feets
Angle of elevation = e
Using trigonometry ;
Tan e = opposite / Adjacent
Tan e = h / 5
Making h the subject ;
h = 5(tane)
A projectile is launched at a height of h feet above the ground at an angle of θ with the horizontal. The initial velocity is v0 feet per second, and the path of the projectile is modeled by the parametric equations
x=(v0cosθ)t and y=h+(v0sinθ)t-16t^2
Write the parametric equations to model the path of a projectile launched from ground level (h = 0) at the given values of θ and v0. Use your equations to answer the following questions.
θ=40∘ , v0=128 feet per second
Determine the maximum height
Give the time the object reaches this height (to one decimal place).
Give the approximate horizontal distance the objects is at this point (to one decimal place).
Determine the time the object will hit the ground after it is launched (to one decimal place).
Using the equation, the time the object will hit the ground after it is launched is 3.4 seconds.
To model the path of a projectile launched from ground level (h = 0), we can set h = 0 in the equation for y:
[tex]y = (v_0sin \theta)t - 16t^2[/tex]
Therefore, the parametric equations for the path of the projectile are:
[tex]x = (v_0cos\theta)t \\y = (v_0sin \theta)t - 16t^2[/tex]
Substituting θ = 40∘ and v0 = 128 feet per second, we get:
[tex]x = (128 cos 40^o)t\\y = (128 sin 40^o)t - 16t^2[/tex]
To determine the maximum height, we need to find the vertex of the parabolic path, which is given by:
t = -b/2a
where a = -16, b = 128 sin 40∘, and c = 0 (since the projectile starts and ends at ground level). Substituting the values, we get:
t = -128 sin 40∘ / (2*(-16)) = 2.3 seconds (approx)
The maximum height can be found by substituting this value of t into the equation for y:
y = (128 sin 40∘)(2.3) - 16(2.3)^2 = 230.3 feet (approx)
Therefore, the maximum height is 230.3 feet and it is reached at 2.3 seconds.
To find the horizontal distance at this point, we can substitute the value of t into the equation for x:
x = (128 cos 40∘)(2.3) = 172.8 feet (approx)
Therefore, the approximate horizontal distance the object is at this point is 172.8 feet.
To determine the time the object will hit the ground after it is launched, we need to find the time when y = 0:
[tex]0 = (128 sin 40)t - 16t^2[/tex]
Solving for t using the quadratic formula, we get:
t = 0 or t = 8 sin 40∘ / 2 = 3.4 seconds (approx)
Therefore, the time the object will hit the ground after it is launched is 3.4 seconds.
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25, 41, 49, 64Multiple ChoiceThe integers are not pairwise relatively prime since two of them have a common factor 3.The integers are pairwise relatively prime because there is no prime that divides all of them.The integers are pairwise relatively prime since two of them are prime.The integers are pairwise relatively prime because no two of them have a common prime factor.
Answer:
The integers are pairwise relatively prime since two of them are prime
Step-by-step explanation:
Given
[tex]25, 41, 49, 64[/tex]
Required
Determine if they are prime factors
First, we determine the gcd of the 4 numbers
[tex]25 = 1 * 5 * 5[/tex]
[tex]41 =1 * 41[/tex]
[tex]49 = 1 * 7 * 7[/tex]
[tex]64 = 1 * 2 * 2 * 2 * 2 * 2 * 2[/tex]
The common factor in the above computation is: 1
So:
[tex]gcd = 1[/tex]
Because the gcd is 1, this implies that no prime divides all the given numbers.
Hence, they are pairwise relatively prime
At one point during the hike, Noe is at an elevation of 453 feet. After descending at a rate of 50 feet per
minute, she reaches an elevation of 146 feet.
How long does the descent take?
Answer:
6.14 minutes or 6 minutes & 8.4 seconds
Step-by-step explanation:
Initial elevation: 453 ft
Final elevation: 146 ft
Difference in elevation: 453 ft - 146 ft = 307 ft
speed = 50 ft/min
speed = distance/time
time * speed = distance
time = distance/speed
time = (307 ft)/(50 ft/min)
time = 6.14 minutes = 6 minutes + 0.14 * 60 seconds
time = 6.14 minutes = 6 minutes + 8.4 seconds
a(-6) = -42 what is a?
Answer:
it is 7
Step-by-step explanation:
Please help will give brainliest
Small
Large
Blue 17
Red
8
3
12
?
Find: P(Red and Small)
Remember to reduce your answer.
Answer:
3/10
Step-by-step explanation:
Remark
The denominator of the probability is the entire amount present. Just add
Denominator
Blue/Large 17
Red/Large 8
Small 3
Red Small 12
Total 40
Red / Small
P(red/small) = 12 / 40
P(red/Small) = 3 / 10
What is the probability of drawing 2 aces (at once) from a standard deck of cards? Leave your answer as a simplified fraction
Anwner : 4/52
Explanation : The chance of drawing one of the four aces from a standard deck of 52 cards is 4/52; but the chance of drawing a second ace is only 3/51, because after we drew the first ace, there were only three aces among the remaining 51 cards. Thus, the chance of drawing an ace on each of two draws is 4/52 × 3/51, or 1/221.
100 points link down below! no off sight links please no I don't knows just a thing that state all the answers Ill give you another 50 points within the next 15 minutes if you finish it correctly and efficently.
Answer:
All of the questions?
Step-by-step explanation:
Answer:
i am not downloading this
Step-by-step explanation:
NEED HELP PLZ
Consider the following set of equations:
Equation A: y = -x + 5
Equation B: y = 6x − 4
Which of the following is a step that can be used to find the solution to the set of equations? (4 points)
a
−x = 6x + 4
b
−x − 2 = 6x + 4
c
−x + 5 = 6x − 4
d
−x + 5 = 5x
Answer:
look at the picture i sent......
Answer:
for other guy brains
Step-by-step explanation:
According to a survey, approximately 64% of people in the United States think that the nation's water supply is safe to drink. A town has 625 people. What is the probability that 376 or more people think that the nation's water supply is safe to drink? A. 0.50 B. 0.975 C. 0.16 D. 0.84
Some help please! :) Branliest
Answer:
Households without a vehicle were not surveyed. D
Step-by-step explanation:
I just finished with Maps testing like 10 minutes ago XD good luck!!
Find the value of the missing sides URGENT I NEED HELP QUICK PLSSS
Answer:
B) x=5√3 y=5
Step-by-step explanation:
It’s a 30-60-90 triangle, so
B) x=5√3 y=5
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answer:
c) [tex]\frac{x-2}{x+6}[/tex]
Step-by-step explanation:
When given that function (f) is the following,
[tex]f(x)=\frac{x+2}{x^2+4x-12}[/tex]
The wisest move to first make is to factor the expression, factoring is the process by which one rewrites a quadratic expression as the product of two linear expressions,
[tex]f(x)=\frac{x+12}{(x+6)(x-2)}[/tex]
If is given that function (g) is the following,
[tex]g(x)=\frac{4x^2-16x+16}{4x+48}[/tex]
Then one should also factor the expression,
[tex]g(x)=\frac{4(x-2)^2}{4(x+12)}[/tex]
One is asked to find the following,
[tex]f(x)*g(x)[/tex]
To do this operation, one must multiply the two functions together. It is easiest to do so when the functions are in factored form,
[tex]f(x)*g(x)[/tex]
Substitute,
[tex](\frac{x+12}{(x+6)(x-2)})(\frac{4(x-2)^2}{4(x+12)})[/tex]
Simplify, cross out like terms in the numerator and denominator,
[tex]\frac{x-2}{x+6}[/tex]
Help !!!!!!!!!!!!!!!!!!!!!
Answer:
6
1+6
2+5
3+4
4+3
5+2
6+1
hope it helps
Similar Triangles
When are triangles considered similar?
a. corresponding angles are equal AND corresponding sides are proportional
b. corresponding angles are proportional AND corresponding sides are equal
c. corresponding angles are equal OR corresponding sides are proportional
d. corresponding angles are proportional OR corresponding sides are equal
Please select the best answer from the choices provided
Answer:
A. Corresponding angles are equal AND corresponding sides are proportional
Step-by-step explanation:
I calculated it logically
Answer:
A. Corresponding angles are equal AND corresponding sides are proportional
Find the missing angle x
Then BAC
Answer:
Step-by-step explanation:
since arc BC is 2 time the angle of A , then
2(9x +12) = 21x +3
18x +24 = 21x + 3
21 = 3x
7 = x
x = 7
∠BAC = 9(7) +12
∠BAC = 63 +12
∠BAC = 75°