Answer:
9.7
Step-by-step explanation:
When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:
your answer would be 9.7
please mark brainelist!!!
A phone manufacturer offers its customers two different versions of the same phone. The low storage version costs $350, and the high storage version costs $450. let X represent the manufacturer's income on a randomly chosen purchase of this phone. Based on previous data, here's the probability distribution of X along with summary statistics:
Low capacity High capacity
х income ($) 350 450
P(X) 0.65 0.35
Mean: μx=$385
Standard deviation: σx= $48
The manufacturer is considering a $25 price increase on both versions of the phone. Assume that this increase will not change the probability that corresponds to each version. Let Y represent their income on a randomly chosen purchase of this higher priced phone. What are the mean and standard deviation of Y?
Answer:
Mean = $410
Standard deviation = $48
Step-by-step explanation:
From the given information:
Low capacity High capacity
Y income ($) 350 + 25 450 + 25
= 375 = 475
P(Y) 0.65 0.35
[tex]U_Y = (375 \times 0.65) + (475 \times 0.35)[/tex]
[tex]U_Y = 243.75 + 166.25[/tex]
[tex]\mathbf{U_Y = 410}[/tex]
[tex]Var _{(Y)} = E(Y^2) - E(Y)^2[/tex]
[tex]Var _{(Y)} = \Big [(375)^2 \times 0.65 + (475)^2 \times 0.35 \Big ]- (410)^2[/tex]
[tex]Var _{(Y)} =170375 - 168100[/tex]
[tex]Var _{(Y)} = 2275[/tex]
[tex]\sigma _Y = \sqrt{Var _{(Y)}}[/tex]
[tex]\sigma _Y = \sqrt{2275}[/tex]
[tex]\mathbf{\sigma _Y \simeq 48}[/tex]
This question is based on the concept of statistics. Therefore, the mean of Y is [tex]U_y[/tex] = 410 and the standard deviation of Y is [tex]\sigma_{(Y)}[/tex] =48.
Given:
Low capacity = $350
High capacity = $450
P(X) of low capacity = 0.65
P(X) of high capacity = 0.35
Mean: μx=$385
Standard deviation: σ(x)= $48
We need to calculate the the mean and standard deviation of Y (Y represent their income on a randomly chosen purchase of this higher priced phone).
According to the question,
From the given information, it is observe that,
Low capacity High capacity
Y income ($) 350 + 25 450 + 25
= 375 = 475
P(Y) 0.65 0.35
Now, calculate the mean of Y,
[tex]U_y = (375 \times 0.65) + ( 475 \times 0.35)\\U_y = 243.75 + 166.25\\\bold{U_y = 410}[/tex]
Now, calculate the variance of Y,
[tex]Var_{(Y)} = E( Y^2) - E ( Y) ^2\\\\Var_{(Y)} = [(375)^2 \times 0.65 + (475)^2 \times 0.35] - (410)^2\\\\Var_{(Y)} = 170375 - 168100\\\\Var_{(Y)} = 2275\\[/tex]
Calculating the standard deviation of Y,
[tex]\sigma_{(Y)} = \sqrt{Var_{(Y)}} \\\\\sigma_{(Y)} = \sqrt{2275} \\\\\sigma_{(Y)} = 47.6 \approx 48[/tex]
Therefore, the mean of Y is [tex]U_y[/tex] = 410 and the standard deviation of Y is [tex]\sigma_{(Y)}[/tex] =48.
For more details, prefer this link:
https://brainly.com/question/23907081
Students took a survey to determine their end of year field trip. The results showed that 120 students wanted to go to an amusement park. This number represents 40% of the students who took the survey. What was the total number of students who took the survey?
Answer:
300
Step-by-step explanation:
What is the completely factored form of this polynomial?
A + 12x2 + 32
Answer:
(x^2 + 4)(x^2 + 8)
Step-by-step explanation:
How many solutions does the equation have? 2(x+3)=2x+6
Answer:
Infinitely Many Solutions
Step-by-step explanation:
Subtract 6 from both sides of the equation
2
Please help me... find the area of this shape
Answer:
16x^2
Step-by-step explanation:
what is the value of "x"?
i need help with finding area whats the area of a 3m an 7m regtangle
Answer:
34
Step-by-step explanation:
Answer:
Area of rectangle =LXB
L=7m
B=3m
so 7m multiply by 3m gives 21 so the area is 21
what is 23 x 2 + 23 x 2 =
Answer:
92
Step-by-step explanation:
Answer:
23 x 2 + 23 x 2= 92
Step-by-step explanation:
hava gud day :P
The truck costs $ 9,068 including a 19% port tax. If the selling price is reduced by 20%. Find out the new car price before tax is added.
Answer:
$ 6096
Step-by-step explanation:
Let the cost of truck = x
x+19% of x = 9068
x + 0.19x = 9068
1.19 x = 9068
[tex]x = \frac{9068}{1.19}[/tex]
x = 7620.17
Reduction = 20% of 7620.17
= 0.20 * 7620.17
= $ 1524.03
New price = 7620.17 - 1524.03
= $ 6096.14
My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function of the number of gallons of gas in the tank?
Answer: Yes,
Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.
Simplify the following expressions and match them with their solution.
a. sec^2x -1
b. 1/sinx
c. sinx cotx
d. sin^2x/1+cosx
Answer:
Following are the solution to the given choices:
Step-by-step explanation:
In point a:
[tex]\to \sec^2x -1 = \tan^2 x[/tex]
In point b:
[tex]\to \frac{1}{\sin x} = cosec x[/tex]
In point c:
[tex]\to \sin x \cot x = \sin x \times \frac{\cos x}{ \sin x}\\[/tex]
[tex]= \cos x \\[/tex]
In point d:
[tex]\to \frac{\sin^2 x}{1+ \cos x} = \frac{\sin^2 x}{1+ \cos x} \times \frac{1- \cos x}{ 1- \cos x}[/tex]
[tex]= \frac{\sin^2 x (1- \cos x)}{1- \cos^2 x}\\\\= \frac{\sin^2 x (1- \cos x)}{\sin^2 x}\\\\= 1-\cos x\\[/tex]
Suppose the amount of a popular sport Drink in bottles leaving the Filling machine has a normal distribution with me 101.5 ml and standard deviation 1.6 if 36 bottles are randomly selected, find the probability that the mean is less than 102.1ml
Answer:
0.98778
Step-by-step explanation:
Given :
Mean, m = 101.5
Standard deviation, s = 1.6
Sample size, n = 36
Sample mean, x = 102.1
P(x < 102.1)
Zscore = (x - m) / s/sqrt(n)
Zscore = (102.1 - 101.5) / (1.6/√36)
Zscore = 0.6 / 0.2666666
Z = 2.25
P(Z < 2.25) = 0.98778 (Z probability calculator)
x + 3x² – 28x
Can you guys help me solve this in ax^2+bx+c
Thank you thank you
Answer:
3x²+(-27x) +0
Step-by-step explanation:
The given expression is :
x + 3x² – 28x
We need to solve this in the form of ax²+bx+c.
we can write the given expression as :
3x²-28x+x = 3x²-27x
= 3x²+(-27x) +0
If we compare the given expression with the general expression, we find that,
a = 3, b = -27 and c = 0
Hence, the required equation is 3x²+(-27x) +0.
PLEASE HELP IM TIMED whats 1 divded by 1
Answer:
1
Step-by-step explanation:
1 divided by anything is that number. So with that information 1 divided by on would be 1.
Which value is a solution to the inequality x < 4
Step-by-step explanation:
What are the options to choose from?
Which of the following shows a reflection of the triangle over the horizontal axis?
Answer:
Either C or D
Step-by-step explanation:
Because I can only see a and b and both are wrong. Try taking a better pic then ill answer it again.
Answer:
The fourth option
Step-by-step explanation:
It reflexs accros the x axis which is horizontal
Help please I would appreciate it please thanks
Answer:
the roots are 5 and 1/2
Step-by-step explanation:
a = 2
b = -11
c = 5
Plug values into formula: (-b ± √b² - 4ac) ÷ 2a
the discriminant comes out to be √81
(11 + 9) / 4 = 5
(11 - 9) / 4 = 1/2
what is the value of x when x:3=2.13
Answer:
The other dude was wrong :( the answer is 6.39
Step-by-step explanation:
I took the test on K12
Write the phrase "the product of a number p and 5" as an expression.
An expression for the phrase is.
Step-by-step explanation:
the product of a number p and 5=p*5
p5 or 5p
hope it helps you
Question 5
Evaluate:
Five cubed.
Write the numerical answer only.
Answer:
125
Step-by-step explanation:
..................
Answer:
pretty sure it's 125
Step-by-step explanation:
hope this helps!
find the volume of the cylinder
give your answer to 1 decimal place
Answer: it would help if you added an image
Step-by-step explanation:
Answer:
Where is the cylinder?
Step-by-step explanation:
solve for x x−3/11=8
x=
Answer:
x = 91/11
Step-by-step explanation:
1. x - 3/11 = 8
2. add 3/11 to both sides of the equation
3. x = 91/11
PLEASE HELP WITH THIS FRACTION
Answer:
2 5/18
Step-by-step explanation:
Select all expressions that model the area of a square with a side length of a.
a2
4a
a × a
a + a + a + a
a × a × a × a
Answer:
a2
Step-by-step explanation:
A 500 foot tall building is a represented by a model that is 25 inches tall using the same scale what is the height of the model of a 360 foot tall building
Answer:
Step-by-step explanation:
500 divide by 25= 20
18÷360=20
Use the product rule to simplify sq root 147x^2
Answer:7x√3
Step-by-step explanation:
√147x^2
√49 (3) x^2
√7^2 ⋅ 3x^2
√7^2x^2 ⋅ 3
√(7x)^2 ⋅ 3
7x√3
If a shirt is normally priced at $40 and sold for $24, what is the discount rate
Answer:
The discount would be 40% off.
You would save $16.00
Step-by-step explanation:
May I have brainiest please I'm trying to level up!
</3 PureBeauty
WORTH ALOT!!! 25) A hockey player signs a contract with a starting salary of $840,000 per year and an annual increase of 6.5% beginning in the second year. What will the athlete's salary be, to the nearest dollar, in the eighth year? A) $1,303,897 B) $1,306,144 C) $1,307,827 D) $1,305,349 3
the answer is A I hope this helps
a florist can creat 16 bouquets of flowers during an 8-hour workday. how many bouguets can the florist creat per hour what is the unit rate
Answer:2 per hour
Step-by-step explanation:16 divided by 8 equals 2 making it 2 per hour
Answer:
A florist can create 2 bouquets of flowers per hour
Step-by-step explanation:
16/8 = 2
How many 1/8 are in 1 and 1/4
WRITE YOUR ANSWER AS A FRACTION NOT A MIXED NUMBER!!
PUt correct answer too please
Answer:
There are 8 - 1/8's in 1 (as, 8×1/8=1); and
There are 2 - 1/8's in 1/4 (as, 2×1/8=1/4).
The graph of a proportional relationship contains the point (4, 20). What is the constant of proportionality?
Enter your answer in the box.
9514 1404 393
Answer:
5
Step-by-step explanation:
A proportional relationship has the equation ...
y = kx . . . . . . where k is the constant of proportionality
Solving this equation for k, we get ...
k = y/x
Filling in the given values (x, y) = (4, 20) gives ...
k = 20/4
k = 5
The constant of proportionality is 5.
Answer:
The answer is 1/5 = 0.2
Step-by-step explanation: