Apple weights in an orchard are normally distributed. From a sample farmer Fred determines the mean weight of a box of apples to be 270 oz. with a standard deviation of 10 oz. He wonders what percent of the apple boxes he has grouped for sale will have a weight less than 255 oz.
Answers
Carl calculates the z-score corresponding to the weight 255oz= -1.5.
Now, Carl decides to find the percent associated with boxes less then 255 oz, so he rounds to hundred and substract 50% - 7% = 43%.
Given that,
In an orchard, apple weights are typically distributed. Fred the farmer concludes from a sample that the average weight of a box of apples is 270 ounces, with a standard deviation of 10 ounces.
He is interested in knowing what proportion of the apple boxes he has gathered for sale will weigh less than 255 oz.
Mean is 270
Standard deviation is 10
x = 255
Formula for z-score,
z = (x - mean)/SD
z = (255 - 270) / 10
=> z = -15 / 10
=> z = -1.5
Hence, by using z-table,
-1.5 equates to 0.0668, which suggests that 0.07
Therefore, 7% of Apple boxes weigh less than 255 oz.
The ratio of boxes is between 255 oz and 270 oz,
Calculating the proportion
Now,
50% - 7% = 43%.
Therefore, Carl calculates the z-score corresponding to the weight 255oz= -1.5.
Carl decides to find the percent associated with boxes less then 255 oz, so he rounds to hundred and substract 50% - 7% = 43%.
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Related Questions
ANSWER ALL WITH THE NUMBER LABELED:))
Answers
8. (-6,9)
9. No solution
If you could exactly afford either 2 units of x and 7 units of y, or 4 units of x and 3 units of y, then if you spent all of your income on y, how many units of y could you buy?
Answers
Answer:
11 units of y
Step-by-step explanation:
Let total income be I
We have the two equations
2x + 7y = I (1) (exactly afford 2 units of x and 7 units of y)
4x + 3y = I (2) (exactly afford 42 units of x and 3 units of y)
Multiply (1) by 2
==> 2(2x + 7y) = 2 x I
==> 4x + 14y = 2I (3)
Subtract (2) from (3)
(3) - (2)
==> 4x + 14y - (4x + 3y) = 2I - I
==> 4x + 14y - 4x - 3y = 2I
==> 14y - 3y = I (x terms cancel)
==> 11y = I
This represents an equation where if you buy 11 units of y, it will be your whole income
Answer: 11 units of y
calculate the slope between the two points (6, 5) and (2, 13).
A. zero
B. undefined
C. -2
D. 10
Answers
Answer:
M= -2
Step-by-step explanation:
13-5=8
2-6=-4
8/-4= -2
The formula for slope is Y2-Y1/X2-X1.
so in this case it would be 13-5 divided by 2-6.
-Solve the equation. Write a reason for each step. 12x = 28 - 16x
Answers
1. Add 16x to both sides
We do this step because we need to eliminate the variable from the right side of the equation. There is a -16 on the right side, and in proper form, x would have to be isolated on the left side. This would look like:
12x + 16x = 28 - 16x + 16x
2. Simplify
We do this step because it makes the equation easier to solve. This would look like:
28x = 28
3. Divide both sides by 28
We do this step because we need to get x by itself on both sides. To do that, we divide by whatever number is the coefficient. This would look like:
28x / 28 = x
28 / 28 = 1
x = 1
This isn’t a required step, but we can plug 1 in for x to make sure our answer is correct:
12(1) = 28 - 16(1)
12 = 28 - 16
12 = 12
Our answer is correct.
Answer Recap: x = 1
Tamika has 48 pencils and 80 pens that she is dividing up evenly in teacher supply boxes that
will contain both pencils and pens.
(a) What is the greatest number of boxes she can use so that each box contains the same
number of pencils and each box contains the same number of pens? Justify.
Hint: Look at the bold underlined word, that should be a good clue as to what strateg
to use.
(b) Based on your answer to (a), how many pencils and how many pens will be in each b
The Upside Down Birthday Cake/Ladder Method works great here.
Answers
(a) The greatest number of boxes she can use so that each box contains the same number of pencils and pens is 48.
(b) There will be 48 pencils and pens in each box.
We have given that Tamika has 48 pencils and 80 pens.
So, the greatest number of boxes is 48, because the total number of pencils is 48, in order to share the same number of pencils and pens, the greatest number of boxes would be 48.
And,
Based on above answer and according to question's statement (each box contains the same number of pencils and each box contains the same number of pens), so, there will be one pencil and one pen in each box.
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LESSON 8.2
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
Answers
Based on the central angle theorem:
1. m<RQS = 100°
2. m<IJH = 70°
3. m<TQR = 100°
What is the Central Angle Theorem?The measure of the central angle of a circle is the same as the measure of the intercepted arc, according to the central angle theorem.
1. m<RQS = measure of arc RS [central angle theorem]
Measure of arc RS = 180 - 80
Measure of arc RS = 100°
m<RQS = 100°
2. m<IJH = measure of arc HI [central angle theorem]
Measure of arc HI = 360 - 140 - 150
Measure of arc HI = 70°
m<IJH = 70°
3. m<TQR = measure of arc TR [central angle theorem]
Measure of arc TR = 360 - 120 - 140
Measure of arc TR = 100°
m<TQR = 100°
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The grid above shows the graph of the parent function
f(x)=|x|
and a translated functions graph.
Write the equation for the translated graph.
Ps: please only answer if you can explain it/help me understand it.
Answers
The parent function, f(x) = |x|, and the graph of the parent and translated function, gives the equation of the translated graph as; f(x) = |x + 3|
Which equations can be used to represent the given graphs?The given parent function is; f(x) = |x|
From the parent function, we have;
When x = 0, f(0) = 0
The graph of the parent function is therefore the red graph.
The location of the vertex of the translated graph is at (x - 2, y + 1)
Given that the slope of the image of the graph of the parent function is the same as the slope of the graph of the parent function, we have;
(x, y) → (x - 2, y + 1)
Therefore in the image, the coordinates of y = x + 3
Which gives the equation for the translated graph as; y = |x + 3|
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Mathwatch question please help
Answers
Answer:
before 7 = 10%
after 7 = 90
Step-by-step explanation:
percetanges are part/whole
before 7 there are 15 people (the part) and in total there are 150 (the whole) so divide 15 by 150 and miltiply by 100 to get 10
after 7 there are 135 (the part) and the total is still 150 (the whole) so divide 135 by 150 and multiply by 100 to get 90
Think about the function f(x) = 3 - 2x.
What does the notation f(0) mean?
Answers
The output value of f(0) in the given function is 3, these form an ordered pair of the y-intercept (0,3).
What is the output value of f(0)?Given the function in the question;
f(x) = 3 - 2xf(0) = ?f(0) equals to the value gotten when 0 replaces all the occurrences of x in the function, this gives an ordered pair of the y-intercept.
f(x) = 3 - 2x
f(0) = 3 - 2(0)
Simplify
f(0) = 3 - 0
f(0) = 3
Therefore, the output value of f(0) in the given function is 3, these form an ordered pair of the y-intercept (0,3).
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2|x+7|=18
explain steps
Answers
Answer:
x=2
Step-by-step explanation:
2x+14=18
2x=18-14
2x=4
x=4/2=2
x=2
hope u understand
jimmy had a balance of -$176 in his bank account. After he deposited $500 into his account, what was Jimmy's new balance
Answers
The new balance in Jimmy's account is 324.
What does account mean in math?An account is a record that records financial transactions concerning a specific asset, liability, equity, revenue, or expense in an accounting system. As the business events take place throughout the course of the accounting period, these records grow and shrink. The general ledger stores each individual account and is used to create financial statements at the end of an accounting period.
ACCORDING TO GIVEN STATEMENT;
Jimmy had a deposited amount of $500
minus $176, per the information provided;
his new balance is $500 minus $176,
= $324.
The new balance in Jimmy's account is 324.
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what is the rules of rounding errors
Answers
Answer: Rounding error is the difference between a rounded-off numerical value and the actual value. A rounded quantity is represented by a numeral with a fixed number of allowed digits, with the last digit set to the value that produces the smallest difference between the rounded quantity and the actual quantity.
Ex.1. Nine counters numbered 1, 2, 3, 4, 5, 6, 7, 8, 9 are placed in a bag One is taken out at random. What is the probability that it is: (a) a 5 (c) less than 5 (b) divisible by 3 (d) divisible by 4.
Answers
The probabilities for the given situations are:-
a) 1/10
b) 2/5
c) 3/10
d) 1/5
Probability = Number of Favorable Outcomes/Number of outcomes
For a) P( getting 5) = 1/10
b) P( getting less than 5) = 4/10 , (Favorable outcomes = 1,2,3,4)
= 2/5
c) P (divisible by 3 ) = 3/10 , (Favorable outcomes = 3,6,9)
d) P( divisible by 4) = 2/10 , (Favorable outcomes = 4, 8)
= 1/5
So, the probabilities for the given situations are:-
a) 1/10
b) 2/5
c) 3/10
d) 1/5
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Suppose that between the ages of 22 and 40, you contribute $3000 per year to a 401(k) and your employer contributes $1500 per year on your behalf. The interest rate is 8.3% compounded annually.
a.) What is the value of the 401(k) rounded to the nearest dollar after 18 years?
b.)Suppose that after 18 years of working for this firm, you move on to a new job. However, you keep your accumulated retirement funds in the 401(k). How much money to the nearest dollar, will you have in the plan when you reach 65?
c.) What is the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan?
Answers
The value of the 401(k) after 18 years is $173,526 , the value of the 401(k) at the age of 65 is $1,273,424 and the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan is $1,192,724
As per the given information, you contribute $3000 p.a. and your employer contributes $1500 p.a. to a 401(k)
So, the total amount contributed for 401(k) = $3000+$1500 = $4500 p.a.
This is a case of annuity because fixed amount is contributed each year.
Future value of an annuity is given by a formula = a [tex]\frac{(1+i)^{n} -1}{i}[/tex]
Where, a = annuity = $4500
i = rate of interest = 8.3% p.a. or 0.083
n = no. of years or periods = 18
Now, substituting the values in the formula,
FV of Annuity = 4500 [tex]\frac{( 1+ 0.083)^{18}-1 }{0.083}[/tex]
= 4500 [tex]\frac{4.2006 - 1}{0.083}[/tex]
= 4500 × 38.5614
= 173526.3
The future value of 401(K) after 18 years is $173,526
Now, After 40 years no contributions are made to the funds. Therefore, the future value at age 65 (after 25 years):
By applying compound interest formula, the future value = p × [tex](1+i)^{n}[/tex]
Here, p = present value or principal amount = $184,036
i = rate of interest = 8.9% or 0.089
n = no. of years or periods = 25
Substituting the values:
Future value = $173526 × [tex](1+0.083)^{25}[/tex]
= 173526 × 7.34025
= 1273724.22
You will have $1,273,424 in the plan at age 65.
Now, The difference between the amount of money you will have accumulated ate the age of 65 and the amount you
contributed (for 18years) in the plan = $1,550,956 – ($4500×18)
= $1273724 - $81000
= $1,192,724
Hence, the value of the 401(k) after 18 years is $173,526 , the value of the 401(k) at the age of 65 is $1,273,424 and the difference between the amount of money you will have accumulated in the 401(k) and the amount you contributed to the plan is $1,192,724
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How do you do number 10? I got it wrong and is the only one I'm stuck on. PLEASE HELP, thanks!
Answers
Answer:
[tex]x=\frac{3\left(-y+6\right)}{7}[/tex]
Step-by-step explanation:
[tex]14x+6y-6y=36-6y\\14x=36-6y\\Divide\\\frac{14x}{14}=\frac{36}{14}-\frac{6y}{14}\\\frac{14x}{14}\\\frac{14}{14}= 1\\\frac{36}{14}-\frac{6y}{14}\\\frac{36-6y}{14}\\36-6y\\6\cdot \:6-6y\\=6\left(6-y\right)\\=\frac{6\left(6-y\right)}{14}\\=\frac{3\left(-y+6\right)}{7}[/tex]
Hope this helps you, and I hope that you get un-stuck! Have a good day.
i hope this helps you
have a nice day
Trei kilograme de mere si patru kilograme de pere costa 43 de lei,iar cinci kilograme de mere si trei kilograme de pere costa 46 de lei.Cat costa un kilogram de mere si cat costa un kilogram de pere? Repede dau coroana!!!
Answers
Answer: ifrkjnvkrhlkv
Step-by-step explanation: yeah
Ab’s a midpoint. Find the value of x.
Answers
Answer:
b) x=25
Step-by-step explanation:
If B is a midpoint, then segments AB and BC should be equal to each other.
Then you can make an equation making both segments equal to one another:
2x-8=x+17
2x-x=17+8
x=25
Help, please! I can't figure out how to solve this problem for my geometry class. Please give me a clear, step-by-step answer to receive 20 points for your brainly score. Thanks!
Answers
The equation is 2x - 8 + 11 = x + 10
The value of x is 7
The value of RS is 6
The value of RT is 17
Solving linear equationsFrom the question, we are to write and solve an equation for x
From the given information,
RS = 2x - 8
ST = 11
RT = x + 10
From above, we can write that
RS + ST = RT
Thus,
2x - 8 + 11 = x + 10
Solve the equation for x
2x - 8 + 11 = x + 10
2x - x = 10 - 11 + 8
x = 7
∴ The value of x is 7
Now,
For the values of RS and RT
RS = 2x - 8
∴ RS = 2(7) - 8
RS = 14 - 8
RS = 6
and
RT = x + 10
RT = 7 + 10
RT = 17
Hence,
The equation is 2x - 8 + 11 = x + 10
The value of x is 7
The value of RS is 6
The value of RT is 17
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Correlation coefficient: If the correlation coefficient for a given scatterplot is r = -0.81, which of the following must be true about the relationship between the explanatory and response variable?
A) The association has a linear form.
B) The association must be positive.
C) The slope must be negative.
D) The association is weakened by outliers.
Answers
Answer:
C) The slope must be negative.
Step-by-step explanation:
Correlation coefficient between the explanatory variable x and the response variable y shows whether increases in x will result in an increase or decrease in y
Here correlation coefficient is r = -0.81
Since it is negative, that means the slope of least-squares regression line will be negative
Answer:
C. The slope must be negative.
Step-by-step explanation:
The association has to be negative because if the scattetplot. is 0.81 then the relationship between the exploratory and response variable.
If two triangle angles are 37 and 69 what is the third angle?
Answers
Answer:
37+69=106
180/106= 74
Step-by-step explanation:
its 74
Answer: 74°
Step-by-step explanation:
the two angles are first added
the sum of a triangle is 180° so the third angle equal 180- sum of angles.
37+69=106
180-106= 74°
The length of a Fruity Chew is a normally distributed random variable X with an average width of
1.2 cm and a standard deviation of 0.12 cm (Ms Pitt did a lot of "research").
a.
Find the probability, correct to four decimal places, that the length of a selected Fruity
Chew is
i.
between 0.8 and 1.5 centimetres
Answers
The probability that a selected fruity chew length is between 0.8 and 1.5 cm is 0.00578.
A fruity chew's length is normally distributed with random variable X with an average width of 1.2 cm.
The standard deviation is 0.12 cm.
Therefore, mean μ = 1.2 cm and;
Standard deviation, σ = 0.12 cm
Now, the probability is given as:
z = ( x - μ ) / σ
The probability that the length of a selected fruity chew is between 0.8 and 1.5 cm.
P( 0.8 < x < 1.5 )
For, P( X > 0.8)
z = ( x - μ ) / σ
z = ( 0.8 - 1.2 ) / 0.12
z = - 0.4 / 0.12
z = - 3.33
Using the z score table,
P( X > 0.8 ) = 0.99957
For P( x < 1.5),
z = ( x - μ ) / σ
z = ( 1.5 - 1.2 ) / 0.12
z = 2.5
Using the z score table,
P( X < 1.5) = 0.99379
Therefore, the probability is between 0.8 and 1.5 cm will be:
= 0.99379 - 0.99957 = 0.00578
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1.) The function g is related to one of the parent functions
g(x) = x^2 + 6
The parent function f is:
f(x)= x^2
Use function notation to write g in terms of f.
Answers
Step-by-step explanation:
if [tex]f(x) = {x}^{2} [/tex]g(x)=f(x) +6 is the solution!
For someone to solve this question for me
Answers
1.) Read through the questions and interpret what it means. Ask yourself, what is the slope and y-intercept and how do I find them? What is slope-intercept form and how do I input this information into it?
2.) First, recall slope-intercept form, slope, and y-interception. The name “slope-intercept” means the equation form with the slope and y-intercept, hence, “slope-intercept.” Remember, anytime you hear this, decode it to slope and y-intercept. So, you know that slope-intercept is in the form: y=mx+b. With this, m=slope, and b=y-intercept. More specifically, the slope (m) is ratio of rise over run of the graph, so m=rise/run. The y-intercept is the starting point and where the graph intercepts the y-axis.
3.) So, we need to find the slope and y-intercept to use y=mx+b, since this is the required information in this form to graph the equation.
• m(slope) formula = y2-y1/x2-x1
- This formula is the difference of y-values over the difference of x-values, which simplifies to vertical change/lateral change or rise/run.
4.) Pick two coordinate pairs, so we can use the slope formula. Remember, two coordinate pairs looks like: (x1, y1) and (x2, y2).
The points (0,4) and (6, 2) are exact intercepts, meaning they intercept the coordinates exactly, so they don’t contain decimals or fractions.
5.) Input these points into the slope formula:
• m=(2)-(4)/(6)-(0)
- note that parenthesis are used when substituting in for a variable.
• m=-2/6
- remember to simplify the slope to a unit rate.
• m=-1/3
So, the graph goes down 1 unit and over 3 units.
6.) To find the y-intercept, we can look at the graph and see where it intercepts the y-axis, or substitute in x=0. Both methods will tell us that b=4.
7.) Input m and b into y=mx+b:
y=(-1/3)x+(4); m=-1/3 and b=4
2. 7th-grade easy math PLEASE Answer this is for a grade
SHOW YOUR WORK AND TAKE A PICTURE
PLS
PLEASE Answer correctly this is for a grade
SHOW YOUR WORK AND TAKE A PICTURE
Answers
The expression on the table shows that the shelf pace that the books take is 1 inch per book.
How to calculate the value?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
It should be noted that from the table, the relationship between the books and the inches is illustrated on the table.
Relationships between two variables that are proportional occur when their ratios are equal. Therefore, this is a proportional relationship and is illustrated as:
= 2/2
= 1
Therefore, there's 1 inch per book.
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find the smallest number which when doubled will be exactly divisible by 4, 10, 15
Answers
60:4=15
60:10= 6
60:15= 4
Let the number be x
So 2x is divisible by 4,10,15
Divisible means find the LCM of those three numbers which is 60
2x=60
Divide both sides by 2
x=30
The following frequency table summarizes the number of children that dads in Dads Club have.
Number of children Number of members
111 666
222 444
333 888
444 111
555 111
Based on this data, what is a reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children?
Answers
The reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children is 50%.
How to illustrate the information?Number of children for 333 = 111 members
It should be noted that the total members is illustrated as:
= 666 + 111 + 111 + 888
= 1776
Therefore, the reasonable estimate of the probability that the next dad to join Dads Club has fewer than 333 children:
= 888 / 1776
= 50%.
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What is the equation of the line that passes through the point (-1,8) and has a slope of −6?
Answers
Answer:
y=-6x+2
Step-by-step explanation:
we know the slope is -6
at -1 it should be at 6
to get 6 to 8 add 2
100 POINTS NEED HELP ASAP
A line passes through point (2,3) and has a slope of -4.
Write an equation in Ax + By = C form for this line.
Use integers for A, B, and C.
Answers
Answer:
Step-by-step explanation:
Point slope formula y - y1 = m( x - x1)
y - 3 = -4(x - 2)
y - 3 = -4x + 8
y = -4x + 11
check
(2,3)
Y = -4x + 11
3 = -4(2) + 11
3 = -8 + 11
3 = 3
Standard form 4x + y = 11
An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the initial velocity of the ball is 40 ft per sec. The height s of the ball in feet is given by the equation s equals negative 2.7 t squared plus 40 t plus 6.5s=−2.7t2+40t+6.5, where t is the number of seconds after the ball was thrown. Complete parts a and b. a. After how many seconds is the ball 10 ft above the moon's surface?
Answers
The ball when thrown at initial velocity of 40ft/sec is 10 ft above the moon's surface after approximately 0.09 seconds and 14.73 seconds .
When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.
The given equation for the height of the ball from the surface after t seconds is given by :
s=-2.7t²+40t+6.5
The initial velocity is 40ft/second.
the height of the ball is 10 ft from the surface.
therefore: s=10
Substituting the value in the equation we get:
10=-2.7t²+40t+6.5
or, -2.7t²+40t-3.5=0
This is a quadratic equation in t . Solving by the quadratic formula we get:
We know that for a equation: ax²+bx+c=0
[tex]{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}}[/tex]
So using the above equation we get:
[tex]{\displaystyle x={\frac {-40\pm {\sqrt {40^{2}-4(-2.7)(-3.5)}}}{2(-2.7)}}}[/tex]
either x=14.726... or x= 0.088...
Therefore x≈14.73 and x≈ 0.09
So the ball will be 10 ft above the moon's surface after approximately 0.09 seconds or 14.73 seconds .
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What is the value of x?
Answers
Answer:
x=2
Step-by-step explanation:
All of the dimensions on the Left (hex) = all of the dimensions summed on the Right (tri)
6 (5x) = x+14 + x+17 + 8x+9
30x = 10x + 40
20x=40
x = 2
Answer:
x = 2
Step-by-step explanation:
6(5x) = x + 14+ x +17 + 8x +9
30x = (10x + 40)
Substrate 10x from both sides.
30x-10x = 30x-10x+40
20x = 40
Divide both sides by 20
x = 2
Therefore x = 2
To check out your work
the both sides are equal.
Substitute x for 2.
6(5x) = x + 14+ x +17 + 8x +9
60 = 60
