Answer:
76 words per minute
Step-by-step explanation:
3724/49 =76
Answer:
Unit rate = 76
Step-by-step explanation
49 min = 3724 words
1 min = ?
3724/49 = 76
1 min = 76 words
Therefore, the unit rate is 76.
Hope this helps :)
"A waiter believes the distribution of his tips has a model that is slightly skewed to the left​, with a mean of ​$10.60 and a standard deviation of ​$6.60. He usually waits on about 50 parties over a weekend of work. ​a) Estimate the probability that he will earn at least ​$600. ​b) How much does he earn on the best 1​% of such​ weekends?"
Answer:
(a) 0.0668
(b) $638.74
Step-by-step explanation:
Let X denote the tips earned by a waiter.
It is provided that X follows a left-skewed distribution with mean, μ = $10.60 and standard deviation, σ = $6.60.
It is also provided that, the waiter usually waits on about n = 50 parties over a weekend of work.
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.
Then, the mean of the distribution of the sum of values of X is given by,
[tex]\mu_{S}=n\mu\\[/tex]
And the standard deviation of the distribution of the sum of values of X is given by,
[tex]\sigma_{S}=\sqrt{n}\sigma[/tex]
As the sample size is large, i.e. n = 50 > 30, the Central Limit Theorem can be used to approximate the sampling distribution of total tips by the normal distribution.
The mean and standard deviation are:
[tex]\mu_{S}=50\times 10.60=530\\\\\sigma_{S}=\sqrt{50}\times 6.60=46.67[/tex]
(a)
Compute the probability that he will earn at least $600 as follows:
[tex]P(S\geq 600)=P(\frac{S-\mu_{S}}{\sigma_{S}}\geq \frac{600-530}{46.67})\\\\=P(Z>1.50)\\\\=1-P(Z<1.50)\\\\=1-0.93319\\\\=0.06681\\\\\approx 0.0668[/tex]
Thus, the probability that he will earn at least $600 is 0.0668.
(b)
Let x represents his earnings on the best 1% of such weekends.
That is, P (X < x) = 0.99.
⇒ P (Z < z) = 0.99
The corresponding z-score is, 2.33.
Compute the value of x as follows:
[tex]z=\frac{S-\mu_{S}}{\sigma_{S}}\\\\2.33=\frac{x-530}{46.67}\\\\x=530+(2.33\times 46.67)\\\\x=638.7411\\\\x\approx 638.74[/tex]
Thus, on the best 1% of such weekends the waiter earned $638.74.
Which fraction/decimal is greater
Answer:
-5.25>-5 3/10
Step-by-step explanation:
let's convert -5 3/10 into a decimal
which is
-5.3 or -5.30
-5.25 and -5.30
because it's negative, the lowest number is the greatest number so
-5.25 is greater than -5.30
10. Circle the triangle that would NOT lie on the
same line as the others. Explain your
reasoning.
Answer:the third triangle
Step-by-step explanation:
A line with greater slope is steeper than a line with a smaller slope true or false ?
Answer:
True
Step-by-step explanation:
Answer: True.
Step-by-step explanation: Because the greater the slope, the steeper the line.
12345678912345678991-12345678912345678912
30 points!!!
Which graph represents the following system of inequalities?
{y < -2x+4
{y < x+3
{x < 3
Answer: Hi wadfasd here plz mark brainliest and answer can be found below ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
I think the answer is the 4th one but let me know if i am wrong!
Step-by-step explanation:
Jimmy is trying to save money to buy a new IPhone. If the amount of money in his account after x weeks is
represented by the function(x) = 15x + 88. Explain the meaning of each part of the function in the context of the
problem.
Answer:
(x) = 15x + 88.
(x)= is the number of weeks
15x= the amount of money per x weeks
88= the amount of money after x weeks.
I am not totally sure my answer is correct though.
Step-by-step explanation:
A certain stock sold for $43.50 on Monday. The sale price dropped $2.75 on Tuesday. The price dropped $4.50 on Wednesday. How much did each share sell for at the beginning of the day on Thursday? Explain your answer.
Answer:
36.20
Step-by-step explanation:
add 2.75 and 4.5 which gets you to 7.25 and subtract your 7..25 from 43.50
(Not sure if this is what you were looking for)
75 = 17 ÷2×93871788=?
?÷748267818=?
?+7376818938÷7477818199×89=?
Answer:
YOUR MOM
Step-by-step explanation:
LOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLOLO)LOLOLOLOLLOllll
(2)
A bag contains red and blue cards. The probability of drawing a red card is 2/5
What is the probability of drawing a blue card?
Answer:
3/5 is the probability of drawing a blue card
Answer:
3/5
Step-by-step explanation:
total sum of probability is 1.
for the probability of drawing a red ball to be 2/5, then probability of drawing a blue ball is
1 - 2/5
Last month you spent $20 on clothing. This month you spent %190 of what you spent last month. Set up a proportion to model this situation. How much did you spend this month?
Answer:
1. x/20 equals 190/100
2. you spent $38 this month
Step-by-step explanation:
can someone please answer this for me
z=5x-11y
What is the slope of this line?
Answer:
-1/5
1/5
5
-5
A study of 800 homeowners in a certain area showed that the average value of the homes was $82,000, and the standard deviation was $5000. How many of these homes have a value greater than $83,500.
Round to a whole number.
I got 62 it says that is wrong answer.
Answer:
400
Step-by-step explanation:
it says average which probably means 400
33.36% of these homes have a value greater than $83,500.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x \ is\ raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = $82000, σ = $5000.
For x > 83500:
[tex]z=\frac{83500-82000}{5000} =0.43[/tex]
From the normal distribution table, P(x > 83500) = P(z > 0.43) = 1 - P(z < 0.43) = 1 - 0.6664 = 33.36%
33.36% of these homes have a value greater than $83,500.
Find out more at: https://brainly.com/question/15016913
Jimmy needs to save at least $30 to buy a new video game. Write an inequality that represents
this situation.
Answer:
About $10
Step-by-step explanation:
We know that Jimmy equally needs enough money to buy a new video game, which is $30.
Since more than 1 number equals 30, there might be multiple answers for this.
He might have about 10 dollars, hence 10 times 3 is 30.
Pls help I’ve been stuck on this for a while.
Answer:
The answer to this question your asking is b
What is 80% of the population?
a
b
c
d
e
f
Answer:
a) 817,600,000
b) 3,401,600,000
c) 585,600,000
d) 464,000,000
e) 280,800,000
f) 28,800,000
Step-by-step explanation:
Multiply each population by 0.8.
ex) 1,022,000,000 x 0.8 = 817,600,000
The temperature of a cup of coffee changed by -54 Fahrenheit over 22 and 1/2 minutes. What was the change in temperature each minute?
Answer:
-2 2/5 F per minuteStep-by-step explanation:
Temperature change:
- 54 F over 22 1/2 minChange in 1 minute:
-54 / 22 1/2 = -54 / (45/2) =-54*2 / 45 =-108 / 45 =-2 18 / 45 =-2 2/5 F/minA bookshelf sits on top of a large desk. Together, their height is 6.75 feet. The difference between their heights is 1.85 feet. How tall is the bookshelf?? Let the height of the bookshelf = x and the height of the desk = y.
Answer: 4.9
Step-by-step explanation:
The height of the bookshelf is 4.3 feet and the height of the desk is 2.45 feet.
What is the system of equations?Simultaneous equations are any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is a simultaneous equation.
Given:
A bookshelf sits on top of a large desk.
Together, their height is 6.75 feet.
The difference between their heights is 1.85 feet.
Let the height of the bookshelf = x and the height of the desk = y.
x + y = 6.75 {equation 1}
x - y = 1.85 {equation 2}
Add both equations,
we get,
2x = 6.75 + 1.85
2x = 8.6
x = 4.3
And from equation 2,
y = 2.45
Therefore, the solution is x =4.3 and y = 2.45.
To learn more about the system of equations;
brainly.com/question/13729904
#SPJ5
If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4.
Answer:
-16
Step-by-step explanation:
because y varies directly with 4 when you remove 8 from 4 you get -4 and when you remove it from -8 you get -16
The value of y is 8 for the given condition.
What is linear equation?Linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. Generally, the equation is of the form Ax+B=0.
For the given situation,
The value of "y" varies directly with "x" and y = -8 when x = 4.
First we need to form the equation for this condition as [tex]y=kx[/tex].
Here, x=4 and y=-8
⇒ [tex]-8=k(4)[/tex]
⇒ [tex]k=-2[/tex]
Now substitute the value of k and x=-4 in the above equation to get the value of y,
⇒ [tex]y=kx[/tex]
⇒ [tex]y=(-2)(-4)[/tex]
⇒ [tex]y=8[/tex]
Hence we can conclude that the value of y is 8 for the given condition.
Learn more about linear equation here
https://brainly.com/question/1410401
#SPJ2
6. Write 3,047.092 in expanded form.
Answer:
3,047.092 =
3,000
+ 0
+ 40
+ 7
+ 0.0
+ 0.09
+ 0.002
Step-by-step explanation:
If there are 16oz in 1 pound how many pounds do 136oz of peaches weigh
Answer:
8.5 pounds OR 8 1/2 Pounds
Step-by-step explanation:
This one is actually pretty easy. We will divide 136 by 16 which will convert the 136 oz into single pounds. After dividing, we get 8.5 pounds.
Answer:
8.5 pounds
Step-by-step explanation:
you devide 136 by 16 and you get the total weight in pounds which in this case would be 8 1/2 or 8.5
A pair of jeans originally cost $85 but you are on sale for 45% off what is the sale price
Answer:
The sale price is $46.75
Step-by-step explanation:
The price of a pair of jeans that has on sale for 45% off with the original price of $85 is $46.75.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A pair of jeans originally cost $85 but you are on sale for 45% off. Then the price of a pair of jeans will be
→ 0.55 × $85
→ $46.75
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
need ASAP!!
Order the events in the correct order from 1 being the LEAST likely to occur to 4 being the
MOST likely to occur.
flipping a fair coin and having the
coin land with the tails side facing
up
spinning a spinner with 8 equal
sections numbered 1 to 8 and
landing on a number greater than 1
spinning a spinner with 10 equal
sections numbered 1 to 10 and
landing on 5
rolling a 0 on a number cube
with sides numbered from
1 to 6
Answer:
starting from top to bottom
2
1
3
4
Step-by-step explanation:
In that order
A new cell phone has a purchase price of $225. With the extended warranty, the total cost comes to $289. What percent of the purchase price is the price of the warranty?
Answer:
28.45%
Step-by-step explanation:
The price of a new cell phone = $225
With the extended warranty, the total cost comes to $289.
We need to find the percent of the purchase price is the price of the warranty. It can be calculated as follows :
[tex]\%=\dfrac{|\text{purchase price-extended warrenty price}|}{\text{purchase price}}\times 100\\\\=\dfrac{|225-289|}{225}\times 100\\\\=28.45\%[/tex]
So, the percent of the purchase price is 28.45%.
Answer:
a) EDGE 2021
Step-by-step explanation:
A cell phone company charges $40 per month plus a $35 activation fee.
Write a function, f(x), for the total cost for x, months.
a.
b.
Which portion of your function represents the one time fee?
C.
Which portion of the function represents the monthly cost?
d.
What does f(x) represents?
Answer:
a. y = 40x + 35
b. 35 represents the one time fee
c. The 40x represents the monthly fee
d. f(x) represents the amount you have paid after an amount of months
Step-by-step explanation:
use approximations to 1 significant figure, estimate the value of
0.482x61.2²÷√98.01
Answer:
182.353745455
Answer:180
Step-by-step explanation:
Kathy’s customer base is 2/3 residential and 1/3 business if she has 350 residential customers how many total customers does she have
what is the function of this graph?
Answer:
-2 X3
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER
Answer:
5.7 m/sStep-by-step explanation:
Approximate rate of change:
(25.1 - 2.3)/(4 - 0) =22.8/4 = 5.7 m/s