Yes, it is true that Jimmy John was underfilling the lettuce bags with sample mean of 14.39 pounds and sample standard deviation of 0.539.
Given sample mean =14.39 pound, sample standard deviation=0.539 and stated weight=15 pounds.
We know that mean is the number which comes after dividing sum of numbers divided by numbers. Standard deviation shows how much dispersed data is. Firstly we observe through mean and because it is less than 15, it means Jimmy John's had underfilled in atleast one bag otherwise if he had not underfilled the mean may come greater than or equal to 15 pounds.
Now come along standard deviation, we can observe that standard deviation is also low means the points are not in such a way that one point lies at 15 and other one is 25. It also shows underfilling of lettuce bags.
Hence it is true that Jimmy John had underfilled the lettuce bags.
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A welder's electrical arc has a temperature ranging from 500°C to 20 000°C. What is this in degrees Fahrenheit?
932°F to 36032°F
Step-by-step explanation:Celsius and Fahrenheit are both measures of temperature. However, Celsius is a metric measurement, and Fahrenheit is used in the USA primarily.
Conversion Formula
To convert the Celsius measurements to Fahrenheit we can use the formula:
(°C × 9/5) + 32 = °FSo, in this formula, you can plug in whatever Celsius value you have in and solve for Fahrenheit. To convert from F to C you can use the second formula:
(°F − 32) × 5/9 = °CSolving for Fahrenheit
Now that we have the formula, we can plug in the 2 Celsius values to find the new range.
First, plug 500°C in
(500°C × 9/5) +32 = °FNext, multiply the terms within the parentheses
(900) + 32 = °FFinally, add the last terms
932 = °FThen, plug in 20000°C
(20000°C × 9/5) + 32 = °FNext, multiply the terms within the parentheses
(36000) + 32 = °FLastly, add the terms together
36032 = °FThis means that, in Fahrenheit, the temperature range of the welder's electrical arc is 932°F to 36032°F. This is a total range of 35100°F.
What is the sum of the polynomials?
(6x+7+x²)+(2x²-3)
O-x²+6x+4
O3x²+6x+4
O9x + 4
O gx² +4
Answer:
3x² + 6x + 4
Step-by-step explanation:
6x + 7 + x² + 2x² - 3
→ Collect like terms
x² + 2x² + 6x + 7 - 3
→ Simplify
3x² + 6x + 4
Answer:
3x^2+6x+4
Step-by-step explanation:
We can find the sum of the polynomials by combining like terms.
(6x+7+x²)+(2x²-3)
x^2+2x^2+6x+7-3
3x^2+6x+4
If a soccer team made 28 penalty shots out of 100, what fraction and what
percentage of penalty shots did the team miss? Choose two answers.
help me please and quik!!!
Answer:
16yd²
Step-by-step explanation:
We only want to focus on the rectangles with carrots. Draw a line down the middle of the shape, giving you 2 recntangles for carrots. Let's start with the big one on the right.
It has a length of 2 and a height of 7. So the area is 14 square yards
The second rectangle
It has a height of 1 yard and a length of 2 yards so an area of 2 square yards.
Finally, 14 + 2 = 16yd²
Question is in the picture, please help.
Answer:
1)The equation is 3^N, where N starts at 4 and goes down 1 each time
2) 1 would be the 5th term
Step-by-step explanation:
3^4=81
3^3=27
3^2=9
3^1=3
3^0=1
A tourist buys a nepali flag at a discount of 15% but pays
10% VAT,if she pays rs170 for VAT.calculate the discount amount
so he paid Rs 170 for VAT
total amount paid = 170 x 10 = 1700
discount is 15%
so therefore
amount before discount = 1700/(1–0,15) = 2000
discount = 2000 x 15% = Rs 300
The 15% discount amount for the Nepali flag is 255 rupees.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
VAT = 10%
Discount = 15%
10% = 170 rupees
Multiply 15/10 on both sides.
15/10 x 10% = 15/10 x 170
15% = 255 rupees.
Thus,
The discount amount is 255 rupees.
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A group of marketing students at a large university wants to determine the proportion of first year students who use certain types of social media. The students want their estimate to be within 0.03 of the true proportion with a 95% level of confidence. Two years ago, a similar study determined the proportion to be 0.796. How large of a sample is required
The required sample size is 694.
Given a student wants to make a guess within 0.03 of the true ratio with a 95% confidence level.
Margin of Error, E = 0.03
significance level α=0.05 {95% confidence}
A given estimate of the percentage of population p is p = 0.79.
The critical value for the significance level α = 0.05 is Zc = 1.96. This can be determined using either Excel or a normal probability table.
Use the following formula to calculate the minimum sample size required to estimate the percentage of population p within the required margin of error.
n≥p(1-p)(Zc÷E)²
n=0.796×(1-0.796)(1.96÷0.03)²
n=693.1016
Therefore, the resample sizequired to meet the condition is n ≥ 693.1016 and must be an integer. From this, we conclude that the minimum sample size required is n = 694.
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PLEASE HELP
Which is the simplified form of the expression
The simplified form of the expression ( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )² is [tex]\frac{1}{3^8}[/tex].
Hence, option B is the correct answer.
What is the simplified form of the expression?Given the expression;
( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )²
First, we use the properties of exponents.
( 2⁻²ˣ⁻³ × 3⁴ˣ⁻³ ) × ( 2⁻³ˣ² × 3²ˣ² )
( 2⁶ × 3⁻¹² ) × ( 2⁻⁶ × 3⁴ )
We take out the parentheses, such that;
2⁶ × 2⁻⁶ × 3⁻¹² × 3⁴
Note that: 2⁶ × 2⁻⁶ = 1, as [tex]2^6*2^{-6}=2^{6+(-6)}=2^0=1[/tex]
Hence, we have
1 × 3⁻¹² × 3⁴
3⁻¹²⁺4
3⁻⁸
Next, we express with positive exponent
[tex]\frac{1}{3^8}[/tex]
The simplified form of the expression ( (2⁻²)(3⁴) )⁻³ × ( (2⁻³)(3²) )² is [tex]\frac{1}{3^8}[/tex].
Hence, option B is the correct answer.
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the vertex of a parabola is located at (1, -7). the parabola intersects the x-axis between 6 and 7.
between which two negative integers will the parabola intersect the x-axis?
Answer:
-4 and -5
Step-by-step explanation:
is what i got from what i did
The parabola intersects x axis between -5 & -4 .
What is parabola ?A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line . The intersection of a right circular cone with a plane parallel to an element of the cone. something bowl-shaped (such as an antenna or microphone reflector)∴ The vertex of a parabola is located at (1.-7)
∵the parabola is symmetric about the x = 1.
∴ The parabola intersects the axis between 6 & 7 .
6 - 1 = 5 7 - 1 = 6
1 - 5 = 4 1 - 6 = 5
Therefore, the parabola intersects x axis between -5 & -4 .
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two cyclists leave towns 74 miles apart at the same time and travel towards each other. one cyclist travels 3 mi/h faster than the other. If they meet in 2 hours, what is the rate of each cyclist?
The rates of each cyclist are 17mi/h and 20mi/h
What is rate?
Rate is a ratio that compares two different quantities which have different units.
In this comparison, one unit is taken to be a standard unit in which the other is compared with.
Analysis:
Let the speeds of both cyclists be x, x+3
distance travelled by x cyclist = 2x
distance travelled by (x+3) cyclist = 2(x+3)
Total distance = 2x + 2(x+3) = 74 miles
2x +2x +6 = 74
4x + 6 = 74
4x = 74 - 6
4x = 68
x = 68/4 = 17mi/h
The other cyclist speed is x +3 = 17 +3 = 20mi/h
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What's the value? (yelping for help)
cos(20°) is the correct answer.
Congratulations! This is the unit circle. Literally everyone hates this. Everyone takes this in Trigonometry though, and it's required. I literally failed Trigonometry because of this and had to retake it when getting my degree in Mathematics.
So, what is the x-coordinate of this? Well, for any angle or (angle in triangle) [tex]\alpha[/tex], the coordinates are always ([tex]cos(\alpha), sin(\alpha)[/tex]).
In this case, angle [tex]\alpha[/tex] is 20°, and so the x-coordinate will be cos(20°) while the y-coordinate will be sin(20°).
Hope this helped!
Answer: cos 20
Step-by-step explanation:
Tablets are on sale for 15% off the original price (t), which can be expressed with the function p(t) = 0.85t. Local taxes are an additional 8% of the discounted price (p), which can be expressed with the function c(p) = 1.08p. Using this information, which of the following represents the final price of a tablet, with the discount and taxes applied, based on its original price?
Using proportions, it is found that the expression that represents the final price is given as follows:
C(t) = 0.918t.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that:
With the discount, the price is of 0.85t.With the taxes, the price is increased by 8%, hence multiplied by 1.08.Thus the expression for the final cost is:
C(t) = t x 0.85 x 1.08 = 0.918t.
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Write 10x10x10x10x10x10 with an exponent explain how you decided what exponent to write
Answer:
10^6
Step-by-step explanation:
exponents show how many times a number multiplies by itself
in this case, 10 multiplies by itself 6 times, so the answer should be 10^6
A line is perpendicular to the line 3x - 4y= 2 and passes through the point (1, - 2). Which of the following
is an equation of the line?
Answer:
Last option, y = -4/3x - 2/3
Step-by-step explanation:
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
number that describes both the direction and the steepness of the line
slope = rise/run
b represents the y-intercept
point where crosses the y-axis
Given:
line 3x - 4y = 2passes through the point (1, - 2)Let change 3x - 4y = 2 into y = mx + b form,
3x - 4y = 2
subtract 3x from both sides,
3x - 3x - 4y = 2 - 3x
- 4y = 2 - 3x
divided both sides by -4 to get y alone,
- 4y / -4 = 2 - 3x / - 4
y = (3x / 4) - (2 / 4)
→ y = (3/4)x - (1/2)
Slope of perpendicular lines to another is the negative reciprocal
(ex. slope of 2 becomes -1/2)
So for y = (3/4)x - (1/2) the slope will be,
slope = -4/3
We need to find b (y-intercept),
we know it passes through point (1, - 2)
a point is (x, y) format
y = -(4/3)x + b
plug in the point (1, - 2),
-2 = -4/3(1) + b
-2 = -4/3 + b
add 4/3 to both sides to get b alone,
-2 + 4/3 = -4/3 + 4/3 + b
-2/3 = b
the perpendicular line equation is,
y = -4/3x - 2/3
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Complete the following chart below.
FIll in the missing blanks.
[tex]y=2(x+1)^2+6[/tex]
The vertex (−1,6)
Equation of axis of symmetry is x = -1
minimum at (-1,6)
[tex]y=\frac{-(x-1)}{2} ^2-4[/tex]
The vertex (1,-4)
Equation of axis of symmetry is x = 1
maximum at (1,-4)
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
[tex]y=2(x+1)^2+6[/tex]
The vertex (−1,6)
Equation of axis of symmetry is x = -1
minimum at (-1,6)
[tex]y=\frac{-(x-1)}{2} ^2-4[/tex]
The vertex (1,-4)
Equation of axis of symmetry is x = 1
maximum at (1,-4)
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From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.
Select one:
a.
36
b.
9
c.
16
d.
6
Answer: 6
Step-by-step explanation:
By the geometric mean theorem,
[tex]\frac{BD}{3}=\frac{27}{BD}\\\\(BD)^{2}=81\\\\BD=9\\\\\implies x=9-3=6[/tex]
Answer:
x = 6
Step-by-step explanation:
BD is the height of the triangle.
We can find the height of this triangle using one of the Euclidian Theorem:
h^2 = AD*DC rewrite the equation using the given information
(x + 3)^2 = 3*27 multiply
(x + 3)^2 = 81 find the root of both sides
x + 3 = 9 subtract 3 from both sides
x = 6
Hello, i am having a hard time solving this. If anyone can please explain how to solve it in order for me to solve future questions of the same type?
f(x) = 5x3 – 2x and g(x) = 3x3
perform the following :
f(g(x))
g(f(x))
----- Thank you for your help
Answer:
Step-by-step explanation:
[tex] \underline{\large\bf \color{pink}{ Question :- }}[/tex]
The ages of Roony and Herald are 5x and 7x. If four years later, the sum of their ages will be 56 years, then form an equation and solve for x.
[tex] \\ \\ \\ [/tex]
Thank uh !
Answer:
x = 4
Step-by-step explanation:
The ages now are 5x and 7x.
The ages in 4 years are 5x + 4 and 7x + 4.
5x + 4 + 7x + 4 = 56
12x + 8 = 56
12x = 48
x = 4
[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}[/tex]
4Step-by-step explanation:
• Given —
Age of Roony = 5x
Age of Herald = 7x
• After four years —
Age of Roony = (5x + 4)
Age of Herald = (7x + 4)
• Now, According to the question —
→ (5x + 4) + (7x + 4) = 56
→ 12x + 8 = 56
→ 12x = 56 - 8
→ 12x = 48
→ x = 4
Hope it helps you (`▿▿▿▿´ƪ)In a lab experiment, the decay of a radioactive isotope is being observed. On the first day of the experiment the mass of the substance was 1400 grams and mass was decreasing by 10% per day. Write a recursive formula to represent the mass of the radioactive sample on the day of the experiment.
The recursive formula is mathematically given as
a_n=1266.77e^n
What is the recursive formula?Generally, the equation for the decay is mathematically given as
[tex]at=a_oe^{-\lambda t}[/tex]
Hence
a1=1400e^{-0.1 (1)}
In conclusion,
[tex]a_n=1400e^{-0.1 (n)}\\\\a_n=1266.77e^n[/tex]
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Find NM=
Help me please thanks
A triangle is a three-edged polygon with three vertices. The length of the side MN is 3 cms.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The triangle formed by MN, MO, NO is an equilateral triangle, with the length of each side of the triangle equal to the radius of the triangle. Therefore, the length of MN will be,
MN = r
Now, the length of arc MN can be written as,
2 × π × r × (60° /360°) = π
r = 360 / (60 × 2)
r = 3
Hence, the length of the side MN is 3 cms.
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The expression x-y equals 0.7 if x and y have certain values. Evaluate the following expression with the same values of x and y
y-x
Answer:
-0.7
Step-by-step explanation:
Given x - y = 0.7
We will assign x and y random values that has a difference of 0.7
x = 1.3
y = 0.6
Using these 2 values,
y-x = 0.6-1.3
= -0.7
As you can see here , you will get a reversed value when you reverse the expression.
write the equations after translating the graph of y = | 1/2 x -2 | + 3 one unit to the right
Using translation concepts, the equation of the graph is:
y = |0.5x - 2.5| + 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The function is:
y = |0.5x - 2| + 3.
When it is shifted one unit to the right, we have that x -> x - 1, hence:
y = |0.5(x - 1) - 2| + 3
y = |0.5x - 2.5| + 3.
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Select the correct answer.
Which function is the inverse of function f if the domain of f is ?
The inverse function of f(x) is [tex]f^{-1}(x) = \sqrt{x - 6}[/tex] and the domain is x > 6
How to determine the inverse function?The function is given as:
f(x) = x^2 + 6
Rewrite as:
y = x^2 + 6
Swap x and y
x = y^2 + 6
Subtract 6 from both sides
y^2 = x - 6
Take the square root
[tex]y = \sqrt{x - 6}[/tex]
Rewrite as:
[tex]f^{-1}(x) = \sqrt{x - 6}[/tex]
Hence, the inverse function of f(x) is [tex]f^{-1}(x) = \sqrt{x - 6}[/tex] and the domain is x > 6
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24. A pizzeria sells a medium pizza for $5.99 plus $0.75 for each topping.
They also sell a large pizza for $6.99 plus an additional $0.50 per topping.
After how many toppings will the medium and large pizzas cost the same
amount?
The pizzas will cost the same at 4 toppings.
The pizzas will cost the same at 5 toppings.
The pizzas will cost the same at 6 toppings.
The pizzas will never cost the same amount.
Answer:
a.) The pizzas will cost the same at 4 toppings
Step-by-step explanation:
Medium Pizza:
$5.99 + $0.75x
Large Pizza:
$6.99 + $0.50x
Find x
$5.99 + $0.75x = $6.99 + $0.50x
0.25x = 1
x = 4
600 feet of fence surround a rectangular playground that is 100 feet wide. how long is the playground
Answer:
Half of the perimeter is 300 feet.
If 100 feet are in the width, then 200 feet are in the length
Step-by-step explanation:
Perimeter is the sum of the lengths and the widths of the rectangle.
So P= l + l + w + w
perimeter is 600 and the width is 100.
so substituting in
600= 100 + 100 + l + l
600 = 200 + 2 l
solve for l
l = 200
hope this helps
Answer:
150 feet
Step-by-step explanation:
Length of playground = L + L + B + B
600 = 100 + 100 + 2L
600 = 200 + 2L
600 - 200 = 2L
300 = 2L
L = 300/2
L = 150
Therefore, the length of the playground is 150 feet.
if sinx=1/2, find cos4x
Answer: -1/2
Step-by-step explanation:
Use double-angle identities:
cos(2θ)=cos^2θ−sin2^θ
cos(2θ)=1−2sin^2θ
cos(2θ)=2cos^2θ−1
sin(x)=1/2
cos(2x)=1−2sin^2x=1−2(1/4)=1/2
cos(4x)=2cos2^(2x)−1=2(1/4)−1=-1/2
Answer: cos4x=-1/2 if sinx=1/2.
Step-by-step explanation:
[tex]sinx=\frac{1}{2}\\ x=\frac{\pi }{6} .\\4x=4*\frac{\pi }{6}=\frac{2\pi }{3}.\\ cos4x=cos\frac{2\pi }{3}=-\frac{1}{2} .[/tex]
what is y= - 2 (x-5) ^ 2 + 3 vertex, axis of symmetry, direction of opening, max or min and y intercept
Answer:
vertex: (5, 3)axis of symmetry: x = 5direction of opening: downwardmax: y = 3y-intercept: -47Step-by-step explanation:
Most of the questions can be answered by comparing the given equation to vertex form.
Vertex formThe vertex form of the equation for a parabola is ...
y = a(x -h)² +k
where 'a' is a vertical scale factor, and (h, k) is the vertex. The sign of 'a' determines whether the parabola opens upward or downward.
Parameter valuesWhen we compare the given equation to the vertex form, we can easily see the values of 'a' and (h, k).
y = -2(x -5)² +3 . . . . . . . given equation
y = a(x -h)² +k . . . . . . . vertex form
The parameters are ...
a = -2, (h, k) = (5, 3)
We notice ...
the sign of 'a' is negativethe vertex is (5, 3)Axis of symmetryThe axis of symmetry is the vertical line through the vertex. It has the equation ...
x = h
x = 5 . . . . equation of the axis of symmetry
Direction of opening, maxThe sign of 'a' is negative. This means that large x-values will result in large negative y-values. The parabola opens downward.
When the curve opens downward, it means the vertex is the highest point on the curve. The maximum is the y-value of the vertex: k. There is no minimum.
The maximum is y = 3.
Y-interceptThe y-intercept is where the graph crosses the y-axis. It can be found by setting x=0, and computing the value of y:
y = -2(0 -5)² +3
y = -2(25) +3 = -50 +3
y = -47 . . . . the y-intercept.
The ordered pair for the point there is (0, -47).
__
We show the graph so you can see how these features relate to the shape of the graph and points on it.
What is the LCM of 24 ,40,30
Answer:
LCM(24,30,40)=120.The Least common multiple for three numbers 24,30 and 40 is 120
Step-by-step explanation:
3/4(2/3 + 4/3) - 9 / 1/2 x 1/3
a. -52 1/2
b. - 5 1/4
c. - 4 1/2
d. -4 7/9
Answer: a. -52 1/2
Step-by-step explanation:
Given:
3/4(2/3 + 4/3) - 9 / 1/2 x 1/3
[tex]\displaystyle \frac{3}{4}(\frac{2}{3} +\frac{4}{3} )-\frac{9}{\frac{1}{2} *\frac{1}{3} }[/tex]
Add and multiply:
[tex]\displaystyle \frac{3}{4}(\frac{6}{3} )-\frac{9}{\frac{1}{6} }[/tex]
Simplify and divide:
[tex]\displaystyle \frac{3}{4}(2 )-54[/tex]
Multiply:
[tex]\displaystyle 1.5-54[/tex]
Subtract:
a. -52 1/2
Which of the following is not a true bi-conditional statement?
A. A quadrilateral is a square if and only if it has 4 congruent sides and 4 right angles.
B. Jane goes to the beach if and only if it is a sunny day.
C It is the weekend if and only if today is Saturday or Sunday.
D A number is even if and only if it is divisible by two.
Jane goes to the beach if and only if it is a sunny day.
========================================================
Reason:
A regular conditional statement is in the form "If P, then Q" where P and Q are placeholders for other statements.
For example, we can replace "P" with "it rains" and replace "Q" with "the grass gets wet". This means "If P, then Q" becomes "If it rains, then the grass gets wet".
It's hopefully clear that the example above is a one way street. It points in only one direction. The act of raining leads directly to the grass being wet. However, we cannot go in reverse. If we see the grass is wet, it doesn't mean it rained. Perhaps someone turned on a hose or sprinkler system. P leads to Q, but Q does not lead to P.
In short, all of what is mentioned so far is considered a regular conditional statement. So far we haven't addressed bi-conditional statements.
----------------
Bi-conditional statements are conditionals that work in reverse.
An example would be "If a figure is a square, then it has 4 congruent sides and 4 right angles". That conditional statement works in reverse. Therefore "If a figure has 4 congruent sides and 4 right angles, then the figure is a square" is also true simply by what it means to be a square.
So the format "If P, then Q" can be reversed to "If Q, then P" to have an equivalently true statement. The common practice is to use "if and only if" to help shorten things.
We would have the template "P if and only if Q" which is the same as "Q if and only if P". The order doesn't matter since we can reverse things just fine.
Often you'll find bi-conditional statements when it comes to definitions. The term "weekend" literally means the day is either Saturday or Sunday, which is why choice C is another bi-conditional. A very similar situation applies to choice D as well.
--------------------
We've found that choices A, C and D are bi-conditional statements. They can be ruled out. We're left with choice B.
This is not a bi-conditional. Why not? It's assumed that Jane would go to the beach on a sunny day, but perhaps she enjoys the beach just fine on cloudy days. There's also the fact she could be doing other things on sunny days. The presence of the sun doesn't automatically mean the beach. If you said "It gets warm if and only if it's a sunny day", then I think this is more in line with a bi-conditional.
This is why choice B is the final answer.