Answer:
Pole of Inaccessibility
1.Jose is solving an equation 4(x-2) = 18. The first step to solving is 4x -8 = 18. What would the
next step be?
PLS HELP THANK YOU
Answer: x = 13/2
Step-by-step explanation:
Distribute: 4(x - 2) = 18
4x - 8 = 18
Add 8 to both sides
4x - 8 + 8 = 18 + 8
Simplify:
4x = 26
Divide both sides of the equation by the same term
4x = 26
4x/4 and 26/4
Cancel term that are both in the numerator and denominator
Divide the numbers
X = 13/2
An article presents a study of the effect of the subbase thickness on the amount of surface deflection caused by aircraft landing on an airport runway. In six applications of a 160 kN load on a runway with a subbase thickness of 864 mm, the average surface deflection was 2.53 mm with a standard deviation of 0.090 mm. Find a 90% confidence interval for the mean deflection caused by a 160 kN load. Round the answers to three decimal places.
Answer:
The 90% confidence interval is [tex] 2.47<\mu < 2.59 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 6
The sample mean is [tex]\= x = 2.53 \ mm[/tex]
The standard deviation is [tex]\sigma = 0.090\ mm[/tex]
Given that the confidence level is 90% then the level of significance is
[tex]\alpha = (100 - 90)\%[/tex]
=> [tex]\alpha = 0.10 [/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Generally the margin of error is mathematically represented as
[tex]E =1.645 * \frac{0.090 }{\sqrt{6} }[/tex]
=> [tex]E = 0.060 [/tex]
Generally 90% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex]2.53 -0.060 <\mu < 2.53 + 0.060[/tex]
=> [tex] 2.47<\mu < 2.59 [/tex]
Melanie buys 2 shells for $0.80. Rosi buys 3 shells for $1.20. Carlos buys 4 shells for $1.60. Use the graph to determine whether there is a proportional relationship between the number of shells and their cost. If so, what does the constant of proportionality mean in this situation? Use the drop-down menus to show and explain your answer.
Answer:
There's a proportion relationship between number of shell and their cost
Step-by-step explanation:
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
The proportionality constant is same means that the cost of shell changes at a constant rate when the number of shells changes.
Given :
Melanie buys 2 shells for $0.80.Rosi buys 3 shells for $1.20.Carlos buys 4 shells for $1.60.The following steps can be used to determine there is a proportional relationship or not between the number of shells and their cost:
Step 1 - First determine the value of x and y from the given data.
Points - (2,0.8), (3,1.2), and (4,1.6)
Step 2 - Now, divide y by x in order to determine the proportionality constant.
[tex]r = \dfrac{0.8}{2} = 0.4[/tex]
[tex]r'=\dfrac{1.2}{3}=0.4[/tex]
[tex]r" =\dfrac{1.6}{4}=0.4[/tex]
Step 3 - Observe that the values of r, r', and r" are the same. Therefore, there is a proportional relation between them.
The proportionality constant is same means that the cost of shell changes at a constant rate when the number of shells changes.
For more information, refer to the link given below:
https://brainly.com/question/21328304
The snack table had 48 cookies displayed. After the first round of students came by, the number decreased by 25%. How many cookies were left on the table?
Answer:
36 cookies left
Step-by-step explanation:
48×.25=12
48-12=36 cookies
The graph represents a function. Find the input value corresponding to an output of 2.
Answer:
The input value is -2
Step-by-step explanation:
Input values are x-values plotted on the horizontal axis (x-axis) while the output values are plotted on the vertical axis (y-axis).
What we are simply asked to do is to determine what the value of x is on the x-axis, that corresponds to the y-value of 2 on the y-axis.
Thus, when y = 2 on the x-axis, x = -2 on the x-axis.
The input value of -2, corresponds to the output value of 2.
Answer:
-2
Step-by-step explanation:
Input values are x-values plotted on the horizontal axis (x-axis) while the output values are plotted on the vertical axis (y-axis).
We are expected to determine what the value of x is on the x-axis, that corresponds to the y-value of 2 on the y-axis.
When y = 2 on the x-axis, x = -2 on the x-axis.
The input value of -2, corresponds to the output value of 2.
Mandy, Carly, and Armond collect sports jerseys. Carly has 5 more jerseys than Mandy, and
Armond has three times as any jerseys as Carly. Altogether, they have 80 jerseys. Find the
number of jerseys each person has.
(1 Point)
Enter your answer using c for Carly, m for Mandy and a for Armond.
Enter your math answer
Taking an Uber ride in NYC has an initial fee of $2.55 with an additional charge of $1.75 per mile (we will ignore the small per minute waiting fee). In equation form, cost = 2.55 + 1.75(miles). a local NYC resident records the number of miles for his first 25 rides with Uber. The mean distance of his rides is 5.6 miles with a standard deviation of 1.2 miles. a) Find the mean cost of the 25 trips.
b) Calculate the standard deviation of the cost of the 25 trips.
Answer:
a) The mean cost of the 25 trips is:
$12.35.
b) The standard deviation of the cost of the 25 trips is:
$52.50
Step-by-step explanation:
a) Data and Calculations:
Initial fee (fixed) = $2.55
Variable (additional) charge = $1.75 per mile
Equation = 2.55 + 1.75(miles)
Trips = 25
Mean distance for first 25 rides = 5.6 miles
Standard deviation = 1.2 miles
Mean cost of the 25 trips = 2.55 + 1.75 (5.6) = $12.35
Total cost = $308.75 (25 * 12.35) based on mean cost
Standard deviation of the cost of the 25 trips:
Total standard deviation for the 25 trips = 30 miles (1.2 * 25)
= $52.50 (1.2 * 25 * $1.75)
please assist me with this math problem
Answer: see below
Step-by-step explanation:
I'm not sure exactly what you are asking for but here is what the box plot tells you:
Minimum is 17 items.
Q1 (Lower Quartile) is 22 items. So, 25% of the customers bought 22 items.
Q2 (Median) is 32 items. So, 50% of the customers bought 32 items.
Q3 (Upper Quartile) is 35 items, So, 75% of the customers bought 35 items.
Maximum is 62 items.
The data is "heavier" on the right so it is skewed left.
Range is 62 - 17 = 45
IQR (Interquartile range) is Q3 - Q1 = 35 - 22 = 13
The measure of angle B in a triangle is 4 more than twice the measure of angle A. The measure of angle C is 30 less than 3 times the measure of angle A. Find the measure of each angle.
Answer:
[tex]A = 34\frac{1}{3}[/tex]
[tex]B = 72\frac{2}{3}[/tex]
[tex]C = 73[/tex]
Step-by-step explanation:
Given
Shape: Triangle
[tex]B = 4 + 2A[/tex]
[tex]C = 3A - 30[/tex]
Required
Solve for A, B and C
Since the shape is a triangle,
[tex]A + B +C = 180[/tex]
Substitute [tex]B = 4 + 2A[/tex] and [tex]C = 3A - 30[/tex] in [tex]A + B +C = 180[/tex]
[tex]A + 4 + 2A + 3A - 30 = 180[/tex]
Collect Like Terms
[tex]A + 2A + 3A = 180 + 30 - 4[/tex]
[tex]6A = 206[/tex]
Solve for A
[tex]A = 206/6[/tex]
[tex]A = 34\frac{1}{3}[/tex]
Substitute [tex]A = 34\frac{1}{3}[/tex] in [tex]B = 4 + 2A[/tex]
[tex]B = 4 + 2 * 34\frac{1}{3}[/tex]
[tex]B = 4 + 2 * \frac{103}{3}[/tex]
[tex]B = 4 + \frac{206}{3}[/tex]
[tex]B = \frac{12 + 206}{3}[/tex]
[tex]B = \frac{218}{3}[/tex]
[tex]B = 72\frac{2}{3}[/tex]
Substitute [tex]A = 34\frac{1}{3}[/tex] in [tex]C = 3A - 30[/tex]
[tex]C = 3 * 34\frac{1}{3} - 30[/tex]
[tex]C = 3 * \frac{103}{3} - 30[/tex]
[tex]C = 103 - 30[/tex]
[tex]C = 73[/tex]
The measure of angle FHJ is 60,the measure of angle FGH is 28 what is the measure of angle HFG
Answer:
92
Step-by-step explanation:
A local little league has a total of 60 players, of whom 20% are left-handed. How many left-handed players are there?
Answer:
There are 12 left-handed players in the league
Step-by-step explanation:
To find the value of the percentage of a given number, change the percentage at first to decimal by divide it by 100, then multiply the decimal by the number.Ex: 5% of 50 ⇒ 5% = [tex]\frac{5}{100}[/tex] = 0.05 ⇒ 5% × 50 = 0.05 × 50 = 2.5Let us solve the problem
∵ A local little league has a total of 60 players
∵ 20% of them are left-handed
→ Find 20% of 60
∴ The number of left-handed players = 20% × 60
→ Change 20% to a decimal
∵ 20% = [tex]\frac{20}{100}[/tex] = 0.20
∴ The number of left-handed players = 0.20 × 60
∴ The number of left-handed players = 12
∴ There are 12 left-handed players in the league
Multiple Choice Find the least common multiple of the following
numbers: 3, 4, 5, 6, 10, and 15.
A. 1
B. 15
C. 60
D. 54,000
Answer:
C. 60
Step-by-step explanation:
They all have a multiple f 60.
I have a geometry question
Marie donated 40% of her comic books to a school. If se donated 14p comic books how may did she own before her donation
Answer:
Before her donation, Marie owned 35 comic books.
Step-by-step explanation:
Marie donated 40% of her comic books to a school, that is, Marie donated 40 comic books per 100 comic books she owned. We can write it as a ratio: the ratio of donated comic books to total comic books is 100:40. If she donated 14 comic books, the number of comic books she owned before her donation were:
14 donated cb × (100 total cb/40 donated cb) = 35 total cb
what is two and three hundreds seventy thousandths in decimal form
Answer:
2.370
Step-by-step explanation:
In this, the word "and" means the decimal point so:
two and 3
=
2.3
so the tenths place would be the first number after the decimal point, you can think of it as counting backwards. 1000 100 10 "0" 0.1 0.01 0.001
thousnd hundrd tn zro tnths hundrds thousndths
so the 3 hundred would be 0.3 and the sevenTY thousandths would be 0.070
so add that all up and you get:
2.370
or
two and three hundreds seventy thousandths
Hope this helped! Pls Brainliest! It would help and mean a lot! ; )
Last year, Ron underestimated the number of notebooks he would need. So this year. Ron bought 310 notebooks, and had 60 more than he needed. Fill in the table for this year's values.
Options for A:250 310 330
Options for B:250 310 330
Options for C:40 60 330
Options for E:19% 24% 81%
i did D already
someone please help!
Answer:
a =
✔ 310
b =
✔ 250
c =
✔ 60
d =
✔ 60/250
e =
✔ 24%
Step-by-step explanation:
what is the product 7/11 and 3/7?
Answer: 3/11
Step-by-step explanation:
you must do cross canceling to simplify the expression
then just do multiplication from left to right
7/11 times 3/7 the 7 can be crossed out and turned into a 1
then do 1 times 3 for the numerator then 11 times 1 for the denominator and get you answer 3/11
Which of the following graphs represents a function ?
Answer:
It is C, in my opinion. Have a nice day. :)
Step-by-step explanation:
The equation Y + 6 =1/3(x-9)
is written in point-slope form. What is the equation written in slope-intercept form?
Step-by-step explanation:
y+6 = (1/3)(x -9)
y+6 = x/3 - 9/3
y=x/3 -3 -6
y = x/3 -9
Simplify the following expression.
(4x2 + 8x + 15) + (x2 - x - 27) - (x + 5)(x - 7)
What’s the answer?
Answer:
4x^2+19x-47
Step-by-step explanation:
(4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)
=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35
=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)
= 4x^2+19x-47
Hope this helps!
The given expression after simplifying 4x^2+19x-47.
We have given the following expression
[tex](4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)[/tex]
What is the expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
[tex]=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35[/tex]
[tex]=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)[/tex]
[tex]= 4x^2+19x-47[/tex]
The given expression after simplifying 4x^2+19x-47.
To learn more about the expression visit:
https://brainly.com/question/723406
#SPJ2
which direction would the graph of y=|x+5|-1 open?
a. down
b.up
c.right
d.left
The answer fam is.......... "b.up"
In 2001, a school population was 1696. By 2007 the population had grown to 2614.
1) How much did the population grow between the year 2001 and 2007?
students
2) How long did it take the population to grow from 1696 students to 2614 students?
years
3) What is the average population growth per year?
students/year
4) What was the population in the year 2000?
students
5) Find an equation for the population,
P
, of the school
t
years after 2000.
P
=
6) Using your equation, predict the population of the school in 2011.
students
Answer:
grew by 6
Step-by-step explanation:
An item is regularly priced at $85. Salma bought it on sale for 35% off the regular price.
Answer:
55.25
Step-by-step explanation:
85 X 0.35 = 29.75
85 - 29.75 = 55.25
Answer: 29.75
My Explanation:
85 divided by 10 = 8.5 (10%)
8.5 x 4 = 34.0 (40%)
8.5 divided by 2 = 4.25 (5%)
34 - 4.25 = 29.75 (35!)
Hope this helped!
Suppose you have a 6-face unfair dice with numbers 1,2,3,4,5,6 on each of its faces. If the probability distribution of throwing a number up is as follows: 1 with probability 1/12 2 with probability 1/12 3 with probability 1/12 4 with probability 1/12 5 with probability 1/12 6 with probability 7/12 What are the mathematical expectation and variance of the dice based on the above probability distribution
Answer:
Expectation is equal to 4.75
Variance is equal to 3.02
Step-by-step explanation:
Consider the attached image.
Let [tex]x_i[/tex] denotes each of the outcome.
Expectation [tex]=E(X)[/tex] = ∑[tex]x_if(x_i)[/tex]
[tex]=1(\frac{1}{12}) +2(\frac{1}{12}) +3(\frac{1}{12}) +4(\frac{1}{12}) +5(\frac{1}{12}) +6(\frac{7}{12})[/tex]
[tex]=\frac{1}{12}+\frac{2}{12}+\frac{3}{12}+\frac{4}{12}+\frac{5}{12}+\frac{42}{12}\\\\=\frac{57}{12}\\\\=4.75[/tex]
[tex]E(X^2)=[/tex] ∑ [tex]x_i^2f(x_i)[/tex]
[tex]=1^2(\frac{1}{12}) +2^2(\frac{1}{12}) +3^2(\frac{1}{12}) +4^2(\frac{1}{12}) +5^2(\frac{1}{12}) +6^2(\frac{7}{12})[/tex]
[tex]=(\frac{1}{12}) +4(\frac{1}{12}) +9(\frac{1}{12}) +16(\frac{1}{12}) +25(\frac{1}{12}) +36(\frac{7}{12})\\\\=\frac{307}{12}[/tex]
Variance [tex]=E(X^2)-[E(X)]^2[/tex]
[tex]=(\frac{307}{12})-(\frac{57}{12})^2\\\\ =\frac{307}{12}-\frac{3249}{144}\\\\ =\frac{3684-3249}{144}\\\\ =\frac{435}{144}\\\\ =3.02[/tex]
ANSWER ONE PLS :(
Beyonce’s fish tank holds 180 gallons of water and is leaking at a rate of 8 gallons per day. Jay Z’s fish tank holds 160 gallons of water and is leaking at a rate of 6 gallons per day. At how many days will the two fish tanks have the same amount of water in them?
Justin Bieber’s sand castle is 180cm tall but the wind is blowing away sand at a rate of 8cm per minute. Taylor Swift’s sand castle is 160cm tall and she it adding sand to it at a rate of 6cm per minute. After how many minutes will their sand castles be the same height?
Answers:
1) 160 + 8x = 180 + 6x
2) 160 + 6x = 180 - 8x
The fish tank problem:
x = # of days
180 - 8x = 160 - 6x
Add 8x to both sides and subtract 160 from both sides.
20 = 2x
Divide both sides by 2
10 = x
It will take 10 days for the fish tanks to have the same amount of water in them.
The sand castle problem:
x = # of minutes.
180 - 8x = 160 + 6x
Add 8x to both sides and subtract 160 from both sides.
20 = 14x
Divide both sides by 14
x = 10/7 mins
After 10/7 mins their sand castles will be the same height
Point is plotted at 30.05 on a number line which describes the location point
Answer:
Step-by-step explanation:
A point is plotted at 30.05 on a number line. Which of the options describes the location point?
There are no options to choose from but below is the description of the location point:
30.05 units to the east of the center of the number line. The center of the number line is point zero (0) and separates the negative side from the positive side. 30.05 is on the positive side.
Answer:
between 30 and 31
Step-by-step explanation:
Help! Need ASAP! ;((
Answer:
7+(-11)
Step-by-step explanation:
because it starts from 0 to 7 then goes down 11
so 7+(-11)
brainlist pls ;>
Delisa Corporation has two divisions: Division L and Division Q. Data from the most recent month appear below:
Total Company Division L Division Q
Sales $ 577,000 $ 158,000 $ 419,000
Variable expenses 347,300 104,280 243,020
Contribution margin 229,700 53,720 175,980
Traceable fixed expenses 124,110 38,710 85,400
Segment margin 105,590 $ 15,010 $ 90,580
Common fixed expenses 70,310
Net operating income $ 35,280
The break-even in sales dollars for Division Q is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$318,530
$203,333
$268,466
$459,400
Answer:
$203,333
Step-by-step explanation:
Computation for the break-even in sales dollars for Division Q
First step is to compute the Segment Contribution Margin ratio
Using this formula
Segment Contribution Margin ratio = Segment contribution margin ÷ Segment sales
Let plug in the formula
Segment Contribution Margin ratio= $ 175,980÷ $ 419,000
Segment Contribution Margin ratio= 0.42
Last step is to find the break-even in sales dollars for Division Q using this formula
Break-even in sales dollars = Segment traceable fixed expenses ÷ Segment Contribution Margin ratio
Let plug in the formula
Break-even in sales dollars= $85,400÷ 0.42
Break-even in sales dollars=$203,333
Therefore the break-even in sales dollars for Division Q is $203,333
On March 1, Dilbert Inc sells 2,000 units to Tundra Inc For $5/unit or a total of $10,000. Dilbert’s cost is $3/unit. Terms are 2/10, N/30. What is Dilbert’s journal entry to record their purchase?
Answer: See attachment
Step-by-step explanation:
The journal entry for Dilbert has-been prepared and attached. The journal entry shows the transaction that was done by Dilbert on a March 1st.
Check the attachment for the entry.
t/8 = -4 find the value of t please :)
Answer:
t = -32
Step-by-step explanation:
I multiplied -4 to 8
Have a wonderful day <33
