Answer:
C. Natasha has been charged by $1.85 for her purchase.
Step-by-step explanation:
Natasha has been over charged by $1.85 for her purchase. The correct option is - c. Natasha has been over charged by $1.85 for her purchase
Calculating the bill of a purchaseFrom the question, we are to determine if Natasha has been billed correctly for her purchase
From the given information,
She purchased
3 hard cover books for $19.95 each
3 × $19.95 = $59.85
and
1 book on tape for $17.43
1 × $17.43 = $17.43
Total purchase = $59.85 + $ 17.43
= $77.28
But, the site says that taxes paid by the customer are 7.25% of the total purchase price
∴ The tax Natasha would pay = 7.25% × $77.28
= 0.0725 × $77.28
= $5.60
Add to the total purchase,
Present bill = $77.28 + $5.60
Present bill = $82.88
Then, she selects standard shipping.
According to the shipping charges,
For amount of purchase between $50 - $100, Standard shipping costs $6.35
∴ Total bill = $82.88 + $6.35
Total bill = $89.23
But, the company bills her credit card $91.08
Since, $91.08 is more than her total bill, $89.23, then, Natasha has been over charged.
$91.08 - $89.23 = $1.85
Hence, Natasha has been over charged by $1.85 for her purchase. The correct option is - c. Natasha has been over charged by $1.85 for her purchase.
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In the equation, y = mx + b, the letter b is the
Answer:
The letter by is the y-intercept
Step-by-step explanation:
J.D. power and Associates calculates and publishes various statistics concerning car quality. The dependability score measures problems experienced during the past 12 months by original owners of three-year-old vehicles (those that were introduced for the 2017 model year). For these models of cars, Ford had 1.27 problems per car and Toyota had 1.12 problems per car. Let X be equal to the number of problems with a three-year-old Ford, and Y be equal to the number of problems with a three-year-old Toyota. If you purchased a Ford in the 2017 model year, what is the probability that in the past 12 months the car had a) Can X be distributed as a Poisson random variable? Justify your answer. b) zero problems? c) two or fewer problems? If you purchased a Toyota in the 2017 model year, what is the probability that in the past 12 months the car had d) zero problems? e) two or fewer problems? f) Compare your answers in (d) and (e) to those for the Ford in (b) and (c).
Answer:
Follows are the solution to this question:
Step-by-step explanation:
The Ford car has an issue rate of 1.27.
That means that [tex]\lambda = 1.27[/tex]
Here, [tex]X \sim poisson (\lambda = 1.27)[/tex]
In option (A) :
To make a random variable X a Poisson variable, Parameter:
[tex]\to \lambda \leq 0 .[/tex]
The likelihood of success decreases with increased test numbers.
Mathematics, as [tex]n \longrightarrow \infty, \ \ \ and \ \ \p \longrightarrow 0[/tex].
In option (B) :
You must find it: [tex]P(X =0)[/tex]
[tex]\to P(X=0) = \frac{e^{-\lambda}\cdot \lambda^{0} }{0!} \\\\\to \lambda= 1.27 \\\\=e^{-1.27} \\\\= 0.280832[/tex]
In Option (C):
You must find it: [tex]P( X \leq 2) \\[/tex]
[tex]\to P( X \leq 2) = P(X=0) +P(X=1)+P(X=2) \\\\= \sum_{x= 0}^{2} P(X=x) \\\\= \sum_{x= 0}^{2} \frac{e^{- \lambda} \lambda^{x} }{x!} \\\\= e^{-1.27}\sum_{x= 0}^{2} \frac{ 1.27^{x} }{x!} \\\\ = 0.863964[/tex]
In Option (d):
Its first rating is essential because failures in production could be detected but before the total product becomes defective, this can be reduced.
In Option (e) :
The Toyata car has an issue rate of 1.12
That means that [tex]\lambda = 1.12[/tex]
Here, [tex]Y \sim poisson ( \lambda= 1.12)[/tex]
In Option (f):
You must find it: [tex]P(Y=0)[/tex]
[tex]\to P(Y=0)= \frac{e^{- \lambda } \lambda^{0}}{0!} \\\\\to \lambda = 1.12 \\\\=e^{-1.12}\\\\= 0.32628 \\[/tex]
You must find it: [tex]P(X \leq 2)[/tex]
[tex]\to P( X \leq 2) = P(Y=0) +P(Y=1)+P(Y=2) \\\\= \sum_{x= 0}^{2} P(Y=y) \\\\= \sum_{x= 0}^{2} \frac{e^{- \lambda} \lambda^{y} }{y!} \\\\= e^{-1.12}\sum_{x= 0}^{2} \frac{ 1.27^{y} }{y!} \\\\= 0.896356[/tex]
Comparing [a], [b], for the ford car and [b] and [c] for Toyot effectiveness
Car, its probability that less faults with Toyota car are strong, that's why it's better
Factor completely:
6z2 + 18z
Answer:
6z(z+3)
Step-by-step explanation:
6z square + 18z
take common..
6z(z+3)
What is the first step when simplifying 3 + 8 / 2
60:48 in its simplest form
Solution :-
Given ratio to us is 60 : 48 and we are required to convert it into simplest form .
For this first find the HCF of 60 and 48 .
= 48 ) 60 ( 1
- 48
__________
12 ) 48 ( 4
- 48
__________
0
Hence the HCF ( 60,48 ) is 12 .
Now divide the given ratio by 12 .
= [tex]\sf \dfrac{60\div 12}{48\div 12}[/tex]
= [tex]\sf \dfrac{5}{4}[/tex]
=[tex]\sf 5:4[/tex]
[tex]\boxed{\green{\bf{\dag Hence\: the\:simplest\:form\:is\:5:4.}}}[/tex]
7.064 and expanded form
Answer:
seven and sixty-four thousandths
Step-by-step explanation:
in factors it would be
7 x 1
+ 0 x 0.1
+ 6 x 0.01
+ 4 x 0.001
At Al's Pizza, 57% of the orders included pepperoni pizza. At World's Best Pizza, 11 out of 19 orders included pepperoni pizza. Convert 11/19 to a percent and state at which restaurant did pepperoni pizzas make up a greater percentage of the pizzas sold?
100-57=47% at Als pizza
11/19*100=57.9% at wold best
Therefore world best make greater %
Pepperoni pizzas make up a greater percentage of the pizzas sold 57.9 %.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that 57% of the orders included pepperoni pizza. The percentage of other pizzas is,
100-57 %=47%
If 11 out of 19 orders included pepperoni pizza the percentage of the pepperoni pizza is,
= (11/19) × 100
= 57.9 %
Thus, pepperoni pizzas make up a greater percentage of the pizzas sold 57.9 %.
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Can someone answer this? Fast
Answer:
[tex]\frac{6}{10}[/tex]
Step-by-step explanation:÷
convert 0.7 to a fraction so [tex]\frac{7}{10}[/tex]
and convert the mixed number to a fraction [tex]\frac{7}{6\\}[/tex]
now divide them
[tex]\frac{7}{10}[/tex] ÷ [tex]\frac{7}{6\\}[/tex]
[tex]\frac{7}{10}[/tex] x [tex]\frac{6}{7}[/tex]
so 7 and 7 cancel out so 1 over 10 and 6 over 1 now multiply and you get
6 over 10
:)
The angle measures of a figure Response area stay the same after a translation, reflection, or rotation.
is a 2 prime number or a composite number?
Answer:
prime
Step-by-step explanation:
A local company makes cement posts in the shape of the following three-dimensional composite. The cone and cylinder both have the same radius, while the height of the cylinder is 3 times the height of the cone. Which equation can be used to find the total volume of the cement post?
Answer:
Hi, the answer is B. V=10/3pir^2h.
Step-by-step explanation:
Answer:
The answer you selected is right! The answer is indeed 10/3 pi r^2 h :)
Step-by-step explanation:
Bright Thinker approved
Which algebraic expression has a term with a coefficient of 3?
A. -2y + 5 + 3
B. 5y - 7
C. 3(y - 6)
O D. 3y+1
SUBMIT
Answer:
D. 3y+1
Step-by-step explanation:
The coefficient is the number in front of the variable
3y has a coefficient of 3
3 ( y-6) has a factor of 3 since it is multiplied by the other term ( y-6)
Need help please. In the number 4,001,982.57........ .. .What digit in the hundredths place.
Answer:
it would be what ever number is to the right of 7 but its just a . for me
Step-by-step explanation:
Students who have completed a speed reading course have reading speeds that are normally distributed with a mean of 950 words per minute and a standard deviation equal to 220 words per minute. Based on this information, what is the probability of a student reading at more than 1400 words per minute after finishing the course
Answer:
0.020405
Step-by-step explanation:
We solve this question, using z score formula.
z-score formula =
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
From the above question:
x = 1400, μ = 950, σ = 220
z = 1400 - 950/220
z = 2.04545
Determining the probability from Z-Table:
P(z = 2.04545) = P(x<1400) = 0.97959
P(x>1400) = 1 - P(x<1400)
= 1 - 0.97959
= 0.020405
Therefore, the probability of a student reading at more than 1400 words per minute after finishing the course is 0.020405
Evaluate 4 + 6(a) when a = 2.
Answer:
16
Step-by-step explanation:
Since a = 2, we can plug in 2 for a.
4 + 6(2)
4 + 12
16
Solve the equation |-2y+5|=2|3y-1|
tammy purchased a prepaid phone card for $20. long distance calls cost 24 cents a minute using this card. tammy used her card only once to make a long distance call. if the remaining credit on her card is $12.32. how many minutes did her call last?
Answer:
About 14 - 15 Minutes!
Step-by-step explanation:
24 cents x $12.32 = 295.68 (Multiplication)
295.68/20.00 (Division.)
14.784 (Answer and Estimated.)
Find the Range of the function.
y = 2x + 4 Domain: 0, 1, 2,
Answer:
y= 2x + 4
x = 4 + 2
x = 6
Step-by-step explanation:
is it helpful please tell in comments
On a number line, between which two consecutive whole numbers would the square root of 80 be located? A 7 and 8 B 10 and 11 C 9 and 10 D 8 and 9
Answer:
D. between 8 and 9
Step-by-step explanation:
8*8= 64 9*9=81
80 is between 64 and 81.
BRAINLIEST +15 POINTS UP FOR GRABS!!!
Pick all line pairs that intersect each other.
1. Line AB and Line CD
2. Line CD and Line BE
3. Line BE and Line AB
4. No two lines shown intersect each other.
WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER (STEP-BY-STEP APPRECIATED)!
Answer:
Line BE and Line AB
Step-by-step explanation:
On the graph you can see that these two lines cross each other.
Name the intersection of lines p and r.
H
M
L
M
Write the quadratic function in standard form. f(x) = 3x2 − x + 1
Answer:
It is already in standard form.
Step-by-step explanation:
Vertex Form: f(x) = a(bx - h)² + k
Standard Form: f(x) = ax² + bx + c
plz help due toomarow
Answer:
Given: Surface Area = Volume
2(lb + bh + hl) = lbh
2(33 + 3x + 11x) = 33x
66 + 6x + 22x = 33x
66 + 28x = 33x
66 = 5x
x = 66/5
x = 13.2 inches
The width of a rectangle is 3 feet less than it’s length. The perimeter of the rectangle is 98 feet. Find the dimensions of the rectangle
Answer:
The length is 26 feet and the width is 23 feet
Step-by-step explanation:
Let l represent the length of the rectangle.
The width can be represented by l - 3, since it is 3 feet less than the length
Set up an equation:
l + l + (l - 3) + (l - 3) = 98
Add like terms and solve for l:
l + l + (l - 3) + (l - 3) = 98
4l - 6 = 98
4l = 104
l = 26
So, the length is 26 feet.
Since the width is l - 3, we can plug this in for l to find the width:
l - 3
26 - 3
= 23
So, the length is 26 feet and the width is 23 feet
what is the difference between 20 and -10?
Answer:
30 is the difference
Step-by-ste30p explanation:
Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits
the surface of the lake, the rock's distance from the lake's surface changes at a rate of -3 inches per
second. If Lisa holds her hand 6 feet above the lake's surface, how far from Lisa's hand is the rock 4
seconds after it hits the surface?
A
Answer:
5 feet
Step-by-step explanation:
1 second =-3 inches what of
4 seconds=?
-3×4÷1=-12 inches
-12 inches =-1 foot
6 feet + (-1) foot= 5 feet
If f(x) = 9+ x 2
Find f(9)
Helpppp
Answer:
f(9) = 90
Step-by-step explanation:
f(x) = 9+ x^2
Let x = 9
f(9) = 9+ 9^2
= 9 + 81
= 90
Answer:
f(9) =90
Step-by-step explanation:
[tex]f(x) =9+x^2\\\\f(9)=?[/tex]
Substitute ; x = 9 into the given function
[tex]f(9) = 9+(9)^2\\\\f(9) = 9+81\\\\f(9) = 90[/tex]
I need help thank you
Answer: C
Step-by-step explanation:
For this problem, we need to translate each point by 4 units left and 3 units down.
Point A
When we move 4 units to the left, x=1. When we move 3 units down, we get y=-2. Therefore, A' is (1,-2).
----------------------------------------------------------------------------------------------------------------
Point B
When we move 4 units to the left, x=3. When we move 3 units down, we get y=2. Therefore, B' is (3,2).
----------------------------------------------------------------------------------------------------------------
Point C
When we move 4 units to the left, x=0. When we move 3 units down, we get y=2. Therefore, C' is (0,2).
----------------------------------------------------------------------------------------------------------------
Point D
When we move 4 units to the left, x=-2. When we move 3 units down, we get y=0. Therefore, D' is (-2,0).
----------------------------------------------------------------------------------------------------------------
After translating each point, we know that C is the correct answer.
6th grade math help please
Answer:
Math tells me 8,302/12=691.833...
Step-by-step explanation:
HELP!! ASAP!!!!!!!!!!!!!!!!!!!1
Answer:
No, No, Yes, Yes
Step-by-step explanation:
Answer:
No. What is wrong with you? I'm getting my points back this way.
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