Answer:
The correct option is b.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is large, i.e. n = 100 > 30, the Central Limit Theorem can be used to approximate the sampling distribution of sample mean number of phone calls your business receives daily.
Compute the probability that the average number of phone calls your business receives daily is more than 21 as follows:
[tex]P(\bar X>21)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{21-20.6}{4.4/\sqrt{100}})\\\\=P(Z>0.91)\\\\=1-P(Z<0.91)\\\\=1-0.81859\\\\=0.18141\\\\\approx 0.1814[/tex]
Thus, the correct option is b.
At a bake sale, students sold 145 chocolate chip cookies, 95 oatmeal cookies, and 87 sugar cookies. What percent of the cookies sold were oatmeal? Round to the nearest tenth
Answer:
29.05% of cookies sold were oatmeal cookies.
Step-by-step explanation:
Students sold chocolate chip cookies = 145
Students sold oatmeal cookies = 95
Students sold sugar cookies = 87
Total cookies sold = 145+ 95 + 87
Total cookies sold= 327
The formula used to find percentage is : [tex]Percentage = \frac{part}{whole}*100[/tex]
Now, finding percent of the cookies sold that were oatmeal
Percentage of oatmeal cookies sold = [tex]\frac{95}{327}*100[/tex]
Percentage of oatmeal cookies sold = 29.05 %
So, 29.05% of cookies sold were oatmeal cookies.
Frank bought 6 bags of dog food and 7 bags of cat food for $74.50. Daisy bought 3 bags of dog food and 9 bags of cat food for $ 67.50 . How much does it cost for each bag of dog and cat food ?
Guys actually help me with this please.
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
2x2 = 4
3x2 = 6
On January 1, 2021, Universe of Fun issues $750,000, 9% bonds that mature in 15 years. The market interest rate for bonds of similar risk and maturity is 10%, and the bonds issue for $692,353. Interest is paid semiannually on June 30 and December 31. Record the issuance of the bonds on January 1, the interest payments on June 30, and December 31, 2021.
Answer:
Universe of Fun
Journal Entries are used to record transactions:
January 1, 2021:
Debit Cash Account $692,353
Debit Bonds Discount $57,647
Credit Bonds Payable $750,000
To record the issue of 9% bonds, semiannual interest, that mature in 15 years.
June 30, 2021:
Debit Interest Expense $35,672
Credit Discount Amortization $1,922
Credit Cash Account $33,750
To record the interest expense and discount amortization.
December 31, 2021:
Debit Interest Expense $35,672
Credit Discount Amortization $1,922
Credit Cash Account $33,750
To record the interest expense and discount amortization.
Step-by-step explanation:
Bonds Payable = $750,000
Bonds issued at a discount = $692,353
Bonds discount = $57,647 ($750,000 - $692,353)
Interest rate = 9%
Interest expense, semiannually = $33,750 ($750,000 * 9%)/2
Maturity of bonds = 15 years
Bonds discount will be amortized over 15 at $3,843 per annum ($57,647/15) on straight-line basis
Bonds discount semiannually = $1,922
b) Bonds discount arise as Universe of Fun issues the $750,000 bonds for $692,353 (less by $57,647). This means that the bondholders are paying less than the face value, but will be repaid the full face value at maturity.
Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 4, 7, 9, 12, ...
Answer:
no
Step-by-step explanation:
the sum of 4+7+9+12=32
32/4= 8
8 is not part of the sequence. Therefore its not arithmetic.
Plzz Due today!
The table below represents a linear function f(x) and the equation represents a function g(x): (See pic)
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answer: The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 -12 0 -6 1 0 g(x) g(x) = 2x + 6 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
PART B: y=mx +b is slope intercept form of linear equation where m=slope and b =y intercept
slope for line for function f(x) =-5-(-1) / -1-0 =-5+1/-1=-4/-1=4
y = 4x+b
3=4(1)+b
3=4+b
-1 =b
y=4x-1
f(x)=4x-1 slope = 4
g(x)=2x -7 slope = 2
b) y intercept for f(x) is -1
and g(x) is -7
so f(x) is having greater y intercept
jamal sells some packs f muffins . each pack contains 4 muffins , he sells 36 muffins in al. how many packs of muffins did jamal sell
f = muffins
4 muffins perpack
36 sold
[tex]\frac{36}{4}[/tex] 36 divided by 4 = 9
9 what...
9 packs of muffins
i think thats how you do it but i no thats what the answer is
HELP!!!!!
HELP!!!!
HELP!!!!!
PLEASE!!!
Answer:
B is the answer. Just substitute 14 in for x.
Step-by-step explanation:
Find the price of one marker if three markers cost $18. A.) $6
B.) $54
C.) $4
D.) $3
fill in the blank pls
Answer:
number 2
Step-by-step explanation:
Consider the table modeling function f (top table)
Complete the table modeling the inverse of function f
(bottom table)
PLEASE HELP!! WILL MARK THE BRAINLYEST??
Answer: For Plato users
Step-by-step explanation:
X = -28 ,-9 ,-2 ,-1 ,0
f^-1(×) = -2 , -1 , 0, 1, 2
Just flip the x and y
Just took the test .
Inverse of a function is reverse mapping (if possible). The completed table would look like as shown below:
What is inverse of a function?Suppose that the given function is [tex]f: X \rightarrow Y[/tex]
Then, if function 'f' is one-to-one and onto function(a needed condition for inverses to exist), then, the inverse of the considered function is [tex]f^{-1}: Y \rightarrow X[/tex] such that:
[tex]\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X[/tex] (and vice versa).
It simply means,inverse of 'f' is undo operator, that takes back the effect of 'f'
Inverse of inverse function is function itself.
For the given case, if the function (take x = -2) maps x = -2 to f(x) = -28, then the inverse of this function will take back -28 to -2.
This logic tells us that:
[tex]\begin{array}{cccccc}x&-28&-9&-2&-1&0\\f^{-1}(x)&-2&1&0&1&2\end{array}[/tex]
(x simply denotes input). For inverse function, those values which were outputs of [tex]f(x)[/tex] are now going to serve as input to inverse of [tex]f(x)[/tex] which is [tex]f^{-1}(x)[/tex]
Thus, the completed table would look like:
[tex]\begin{array}{cccccc}x&-28&-9&-2&-1&0\\f^{-1}(x)&-2&1&0&1&2\end{array}[/tex]
Learn more about inverse functions here:
https://brainly.com/question/21527869
A 600-room hotel can rent every one of its rooms at $50 per room. For each $1 increase in rent, 5 fewer rooms are rented. Each rented room costs the hotel $10 to service per day. How much should the hotel charge for each room to maximize its daily profit? What is the maximum daily profit?
how many degrees matches to the radian measure of π/2
Answer:
π/2 = 90°
Step-by-step explanation:
Given that,
Radian measure = π/2
The formula used to convert radian measure to degree measure is given by :
[tex]\text{Degrees}=\dfrac{180^{\circ}}{\pi}\times \text{radians}\\\\=\dfrac{180^{\circ}}{\pi}\times \dfrac{\pi}{2}\\\\=90^{\circ}[/tex]
So, the degree matches for π/2 is 90°.
A hot air balloon rising vertically is tracked by an observer located 4 miles from the lift-off point. At a certain moment, the angle between the observer's line-of-sight and the horizontal is pi/6, and it is changing at a rate of 0.1 rad/min. How fast is the balloon rising at this moment?
Answer:
0.533 miles/min
Step-by-step explanation:
Calculate how fast the balloon is rising at the moment : dy /dt
location from the lift-off point = 4 miles
angle between the observer's line-of-sight and the horizontal ( ∅ ) = [tex]\frac{\pi }{6}[/tex]
d∅ / dt = 0.1 rad/min
tan ∅ = y / 4
derivate
sec^2 ∅ . d∅ / dt = 1/4 . dy/dt
= sec^2 [tex]\frac{\pi }{6}[/tex] . 0.1 = 1/4 . dy/dt
= ( sec^2 0.5238 * 0.1 ) * 4 = dy/dt
dy/dt = 8 / 15 miles/min
Apples cost $0.75 per pound and bananas cost $1.05 per pound.
A baker bought a total of 12 pounds of apples and bananas for $10.20.
The system of equations {a+b=120.75a+1.05b=10.20 models this situation, where a is the number of pounds of apples, and b is the number of pounds of bananas.
How many pounds of each did the baker buy?
how do u find the third side
Answer:
Square root of 49
The missing side is 7
Step-by-step explanation:
With the Pythagorean theorem.
25^2= 625
24^2= 576
Square root of 49=7
The missing side is 7
Opt la puterea 2014 plus 9 la puterea 2013 este pătrat perfect
Answer:
ENGLISH PLZ
Step-by-step explanation:
I CANT UNDERSTAND spanish
Simi bought a study table for $9000.She sold it at a profit of 20%.How much profit did she make ? What is the selling price?
Answer:
10,800
Step-by-step explanation:
9,000+ 20%= 10,800
Choose the equation that is true.
345 – 15 = 15 - 345
18 + 0 = 0 + 18
3 + 8 = 7 + 5
5 + 4 + 2 = 6 + 3 + 1
could u help me
with this
Answer:
P = 7
Step-by-step explanation:
46+8=54
54-5=49
49÷7=P
If you write out the numbers from 0 to 40, how many times would you write the digit 3?
Four Times you'd say it
The numbers where there are 3 digits from 0 to 40 are
3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39
The digit 3 will be written thirteen times.
What is a number line?It is the way of representing numbers on a line where there is an equal unit between each number.
We have,
Numbers from 0 to 40.
There is always a digit 3 in every ten consecutive numbers.
From 0 to 40 we have 4 ten consecutive numbers.
- 0 to 10
- 10 to 20
- 20 to 30
- 30 to 40
3, 13, 23, and 33. _____(1)
There is a digit of 3 in all the consecutive numbers from 30 to 39.
i.e 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39. ____(2)
From (1) and (2) we have,
3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, and 39
Thus,
The digit 3 will be written thirteen times.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ2
what is 32 divided by 97
Answer:
0.32989690721
Step-by-step explanation:
Answer:
rounded to the nearest hundred: 0.33
Step-by-step explanation:
hope this helps :3
what is (8 + 56) ÷ 4 + 3 2?
um is the end a 3 and 2 or 32 or 3*2?
Answer:
the answer to your question is 48
A line with a slope of 1 passes through the point (7, 9). What is its equation in
slope-intercept form?
Answer: y=1x+9
Step-by-step explanation: Hope this helped!!
The sum of the two numbers is 37. The smaller number is 21 less than the larger number. What are the numbers?
Convert 88 °F to Celsius Round your answer to the nearest tenth. °C
Answer:
Step-by-step explanationfor changing °F to °Cuse the formula
°C=(F-32)5/9
=(88-32)5/9
=56×5/9
=280/9
=31.11
So the value of nearest tenth is 31°c
Answer the question in the picture
Answer:
the answer is the second choice
Step-by-step explanation:
2 steps right and 5 up in mathematics is written as:
x->x+2 and y->y+5
For instance, in the point L
(-5,-2) --> (-5+2,-2+5)=(-3,3)
which is L'=(-3,3)
and so on.
Please answer the following geometry question. Thank you.
Answer:
1,092.8 ft
Step-by-step explanation:
The information here gives us a right triangle.
Let "y" represent the length of the base. (Adjacent length)
Height of the tower = 984 ft (opposite length)
Angle of elevation = 48° (reference angle)
Applying trigonometric ratios formula, we would have:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(48) = \frac{y}{984} [/tex]
Multiply both sides by 984
[tex] tan(48) \times 984 = \frac{y}{984} \times 984 [/tex]
[tex] 1,092.8 ft = y [/tex] (nearest tenth)
Stefan sells Jin a bicycle for $162 and a helmet for $18. The total cost for Jin is 150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin? Stefan originally spent $
Answer:
He spent $110.00 on both originally
Step-by-step explanation:
Add both prices too get 165
Then use the equation =
cross multiply to get 150x=16500
Divide 16500 by 150 to get x alone
x= 180
What is the y-intercept of the line?
What is the slope of the line?
Write an equation for the line
