Answer:
a)Null hypothesis : [tex]H_0:\mu \geq 15[/tex]
Alternate hypothesis : [tex]H_a:\mu < 15[/tex]
b)p value = 0.1003
c)We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.
Step-by-step explanation:
Null hypothesis : [tex]H_0:\mu \geq 15[/tex]
Alternate hypothesis : [tex]H_a:\mu < 15[/tex]
[tex]\mu = 15\\\bar{x}=13\\\sigma = 11\\n = 50[/tex]
Sample size is more than 30 . So, we will use Z test
[tex]Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\\Z=\frac{13-15}{\frac{11}{\sqrt{50}}}\\Z=-1.285[/tex]
Use z table to find p value
p value = 0.1003
α=0.05
p value< α
So, we reject null hypothesis
Hence We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.
The girls varsity basketball team had 850 fans attend their first game of the season. For the second game they had 1037 fans attendance. What was the percentage increase in attendance?
Answer:
22%
Step-by-step explanation:
It's 22% because if we want to find the percent change in something, the formula for that is new number - (minus) old number, than divide by old number, and lastly multiply by 100. So,
1. 1037 - 850 = 187
2. 187 / 850 = 0.22
3. 0.22 x 100 = 22 --> 22%
what could be a multiplicity of the root at x=1
Answer:
The answer is 4
Step-by-step explanation:
Edge 2020
Answer:
it is 4
Step-by-step explanation:
Luigi's Pizzeria is having a Pi Day lunch special where you can choose either one 18" pizza or two 12" pizzas. The cost of each option is the same, $14.00. Which option gets you more pizza? Note: Pizza is measured by the diameter so a 10" pizza is 10" in diameter.
The option which gets you more pizza is two 12" pizzas.
What is a Diameter?It can be defined as the longest chord of the circle and it is twice the size of a radius.
We were told that one 18" pizza or two 12" pizzas costs the same and the one with the largest size is two 12" pizzas which was why it was chosen as the most appropriate choice.
Read more about Diameter here https://brainly.com/question/23220731
What do we call a number after 1 is divided by it?
Answer:
I think absolute value
Step-by-step explanation:
One divided by anything is that same number
EX.
1/100=100
But if the number is negative it would still be that number just in negative form.
Ex.
1/(-3)= -3
Can I get Brainlest if you found this answer helpful
[NRAA]
One- (number)+th
eg- one tenth
one eighth
[xArtsy]
You can find the derivative of the inverse function by differentiating the inverse explicitly, or by using the formula:
If a function f(x) has an inverse f ⁻¹(x), then by definition
[tex]f\left(f^{-1}(x)\right) = x[/tex]
Differentiating both sides with respect to x yields
[tex]f'\left(f^{-1}(x)\right) \times \left(f^{-1}\right)'(x) = 1 \implies \left(f^{-1}\right)'(x) = \dfrac1{f'\left(f^{-1}(x)\right)}[/tex]
Now, if f(a) = b and b = f ⁻¹(a), then
[tex]\left(f^{-1}\right)'(a) = \dfrac1{f'\left(f^{-1}(a)\right)} = \dfrac1{f'(b)}[/tex]
Suppose a city with population 800,000 has been growing at a rate of 8% per year. If this rate continues, find the population of this city in 16 years.
Answer:
2,740,754.11467 or 2,740,754
Step-by-step explanation:
800,000(1.08)^16
y=a(b)^x
a is the starting point
b is growth
x is years
you get the growth by adding 8 to 100 then dividing by 100.
1.If +20 represents 20 m above sea level, then –20 represents?
1.If +90 represents a movement of 90 m to the north then _90 represents?
Answer:
-20 represents 20m below sea level.
-90 represents a movement of 90m to the South.
If 12 inches = 1 foot, how many inches are in 8 feet?
Answer:
96 inches
Step-by-step explanation:
Given the following question:
12 inches = 1 foot
To find the answer we simply need to multiply 12 by 8, since every 12 inches are equal to 1 foot and we need to find how many inches are in 8 feet.
[tex]12in=1ft[/tex]
[tex]8\times12=96[/tex]
[tex]=96in[/tex]
8 feet is equal to "96 inches."
Hope this helps.
FROM EDMENTUM!!!!
Which of the following interpretations for the given expression is correct?
(5 y2 – 7)3
(2y)
Answer:
B
Step-by-step explanation:
the cube (this is the ³ at the end of the numerator) of
the difference of 5 times the square of y and 7 :
(5y² - 7)
all divided by the square (that is the ² at the end of the denominator) of
2 times y :
(2y)
A would be
((5y)² - 7)³/(2y)²
C would be
(((5y)²)³ - 7)/(2y²)
D would be
(5y² - 7)³/(2y²)
What is 50/45 simplified
Answer:
10/9 is the simplified fraction for 50/45.
Step-by-step explanation:
micheal is knitting a blanket. she can knit 6 rows per minute. which rate is equivalent to the rate at which micheal is knitting?
Answer:6 rows per minute
Step-by-step explanation:
A city park is in the shape of a rectangle with width of 25 yd. and length of 60 yd. What is the length of the diagonal that runs across the park?
A.
B.
C.
D.
Answer:
65 yd
Step-by-step explanation:
The diagonal of a rectangle can be found using
Pythagoras' Theorem a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of a right triangle)
Given:
a = 25b = 60⇒ 25² + 60² = c²
⇒ c² = 4225
⇒ c = √4225
⇒ c = 65
Therefore, the length of the diagonal is 65 yd
A family took a road trip and traveled west a distance of 350 kilometers in 7 hours. What was their velocity during this
Answer:
50 km/h
Step-by-step explanation:
so you traveled total of 350 (km) in 7 (hours) right?, just take 350, divide it by 7, which will give you km/h. (or 50 km/h) and then when you add a direction it like "west" it's no longer a speed it's a velocity.
Displacement given (in metres) = (350 × 1000)m.
Displacement = 350000 metres.
Time = (7× 3600) seconds
Time = 25200 seconds.
Velocity = Displacement / Time
Velocity = 350000 / 25200
Velocity = 13.89m/s
Approximately, Velocity = 14m/s.
And equation for loudness in decibels is L equals 10logR where R is the relative intensity of a sound. Sounds that reach levels of 120 decibels , what is the density?
Answer:
10 log(R) = 120 log(R) = 12 R = 1012 ---- From the definition of a logarithm: 10log(x) = x
Explanation :
A = log10[1000(1 + 0.04)5]
What is the average
112, 109, 115
Add them and dividde by the number of numbers, which is 3.
112 + 109 + 115 = 336
336/3 = 112.
The average is 112.
Twelve large bottles of water cost $9. How many bottles can you buy for $3?
Answer:
4
Step-by-step explanation:
12/3= 4
Answer:
4 bottles
Step-by-step explanation:
Use a proportion.
12 bottles are to $9 as x bottles are to $3.
12/9 = x/3
4/3 = x/3
x = 4
Answer: 4 bottles
Help help help help math math
Answer:
-2x+y=-3
Step-by-step explanation:
mr clean
2x+y=-3
on algebra, to move something to the other side of the equal sign you must make the variable cancel out.
so, in this case, we will add 2x to cancel out the -2x. after that rules of algebra state whatever we do to one side of the equal sign, we must do to the other. so we get 2x on the left side, resulting in 2x+y=-3
PLEASE HELPPP
Given the following equation
y=2|x+4|-3 how do the 2, 4, and 3 change the original graph of an absolute value?
Check the picture below, with that template in mind
[tex]y = \stackrel{A}{2}|\stackrel{B}{1}x+\stackrel{C}{4}|\stackrel{D}{-3}\qquad \begin{cases} A=2~~,~~B=1\\ \qquad \textit{shrinks by a factor of 2}\\ B=1~~,~~C=4\\ \qquad \textit{horizontal leftwards shift by }\frac{4}{1}=4\\ D=-3\\ \qquad \textit{vertical downwards shift by 3} \end{cases}[/tex]
Find the slope of the line
Answer:
Step-by-step explanation:
(y2-y1)/(x2-x1)
-3-(-3)/(2-1)=0
a bakery has a bag of 40 cups of flour.15 cups of flour have already been used for bread,where the relainder was used to bake 150 cupcakes.how much flour is in each cupcake?
Answer:
1/6 cup of flourStep-by-step explanation:
Remainder of cups of flour is:
40 - 15 = 25 cups25 cups of flour used to bake 150 cupcakes.
Each cupcake has:
25/150 = 1/6 cup of flourSam has a water bottle that holds 250 milliliters of water when full. He needs to fill a 5-liter water jug for his team. If Sam uses the water bottle to fill the jug, how many times does he need to fill the water bottle in order to fill the jug?
Answer: he needs to fill it 20 times
Step-by-step explanation:
Two side lengths of a triangle are 7 inches and 12 inches. Which choice could be the length of the third side?
Answer:
between 2 and 12.
Step-by-step explanation:
Hope this helps :)
a rectangle has a length 12 meters and a width of 400 centimeters. what is the perimeter, in cm of the rectangle
Answer:
P= 3200 cm
Step-by-step explanation:
Perimeter = 2(l+w)
In this case since the perimeter has to be in centimeters, we have to change the length of the rectangle to centimeter.
12 meter to centimer = 12 x 100 = 1200 cm
2( 1200 +400)
2 (1600)
= 3200 cm
What are the steps of solving 5r + 16r - 6
Answer:
Step-by-step explanation:
Combine like terms:
21r - 6
someone answer this question plsss
Elapsed Time :
1. 24min - 9min = 15 Minutes
2. 56min - 48min = 8 Minutes
3. 36min -5min = 31 Minutes
4. 55min - 3min = 52 Minutes
5. 45min - 11min = 34 Minutes
PS. Mark as brainliest if this helped! :) Trying to get to Virtuoso.
Which is equivalent to 3.25%?
O 0.0325
O 0.325
O 32.5
O 325
Can someone hurry and answer this question?
Answer:
The first choice.
Step-by-step explanation:
hope this helps!
Answer:
A is the answer took test on e2020
Step-by-step explanation:
Can you help- TEST tomorrow
WILL MAKE YOU BRAINLIEST
{{{{{Need to show my work}}}}}}}
Answer:
m = 3/4x + 4
I am not sure if this is what you are working on, hopefully this helps.
A town had a population of 10,000 people. the population decreased 3% each year. what was the population 5 years later?
Answer:
8,588 people
Step-by-step explanation:
We can represent this exponential decay as [tex]P=10000(0.97)^n[/tex] where [tex]n[/tex] is the number of years later:
[tex]P=10000(0.97)^n\\\\P=10000(0.97)^5\\\\P=10000(0.8587340257)\\\\P=8587.340257\\\\P\approx8588[/tex]
Therefore, the population 5 years later will be 8,588 people
Step-by-step explanation:
Ok so after the first year we expect the population to reach 97% of it's initial population.
So 97% of 10 000 can be written as:
97/100 ×10 000=0.97×10 000=9 700
After the second year we expect the population to drop to 97% of the first year's population
So, it can be said that:
0.97×9700= 9409
Similarly after year 3,
0.97× 9409= 9126.73
Year 4,
0.97× 9126.72= 8852.9281
Year 5,
0.97× 8852.9281=8587 rounded to the nearest number
The new population would be 8587
L need help with this pls
Answer:
answer is 150
Step-by-step explanation:
answer is 150
In ΔIJK, i = 2.2 inches, j = 3.6 inches and k=5.1 inches. Find the measure of ∠K to the nearest degree.
Answer:
3.3
Step-by-step explanation: it said too the nearest so i think 3.3 cause its already 3.6
Answer: 121
Step-by-step explanation: