2 1/2 pounds = 2.5 pounds
A pound of apples cost $1.30 -> 2.5 pounds of apples cost 1.3 x 2.5 = 3.25
-> Answer : B
Assume the random variable x is normally distributed with mean 50 and standard 7 deviation . Find the indicated probability.
In a normal distribution, the mean represents the center of the distribution and the standard deviation represents the spread of the distribution.
The higher the standard deviation, the more spread out the data is. The probability of a specific outcome occurring is given by the area under the curve of the normal distribution that corresponds to that outcome.
For example, if we wanted to find the probability of x being between 45 and 55, we would find the area under the normal curve between those two values. This can be done using a table of standard normal probabilities or by using a calculator or statistical software.
In general, if we know the mean and standard deviation of a normally distributed random variable, we can use that information to find probabilities for specific outcomes or ranges of outcomes.
you'll need to provide a specific range or value of X. Once you have that, you can use the Z-score formula or a standard normal distribution table to determine the probability.
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What additional piece of information is needed to show that DEF = PQR by ASA? E F R. line DF=line PR FER ZDELP Oline EF=line QR
Answer:
Given: PR=EF, QR=DE and PQ=FD
Now, In △PRQ and △DEF
PR=EF
QR=DE
PQ=FD
Thus, △PQR≅△FDE (SSS rule).
Which graph of ordered pairs shows a proportional relationship? On a coordinate plane, points (1, negative 2) and (2, negative 4) are plotted. On a coordinate plane, points (negative 2, negative 2) and (1, 3) are plotted. On a coordinate plane, points (negative 2, 1) and (1, negative 2) are plotted. On a coordinate plane, points (2, 1) and (4, 3) are plotted.
The graph of ordered pairs that shows a proportional relationship is the one that plots the points (2, 1) and (4, 3) on a coordinate plane.
Determine the proportional relationship:To determine the proportional relationship, calculate the ratios of the change in the y-coordinates to the change in the x-coordinates for each pair of points.
Here we have 4 sets of points
The ratios of the points can be calculated as follows
For the first set of points (1, -2) and (2, -4):
change in y-coordinate = -4 - (-2) = -2
change in x-coordinate = 2 - 1 = 1
ratio = (-2) / 1 = -2
For the second set of points (-2, -2) and (1, 3):
change in y - coordinate = 3 - (-2) = 5
change in x - coordinate = 1 - (-2) = 3
ratio = 5 / 3
For the third set of points (-2, 1) and (1, -2):
change in y-coordinate = -2 - 1 = -3
change in x-coordinate = 1 - (-2) = 3
ratio = (-3) / 3 = -1
For the fourth set of points (2, 1) and (4, 3):
change in y-coordinate = 3 - 1 = 2
change in x-coordinate = 4 - 2 = 2
ratio = 2 / 2 = 1
The only set of points that has a constant ratio for the change in y-coordinates to the change in x-coordinates is the fourth set of points
(2, 1) and (4, 3).
Therefore,
The graph of ordered pairs that shows a proportional relationship is the one that plots the points (2, 1) and (4, 3) on a coordinate plane.
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Nachelle just accepted a job at a new company where she will make an annual salary of $57000. Nachelle was told that for each year she stays with the company, she will be given a salary raise of $4000. How much would Nachelle make as a salary after 4 years working for the company? What would be her salary after tt years?
a) Using the slope-intercept equation, after 4 years of working at the new company, Nachelle's salary will be $73,000 per annum.
b) After t years of working at the new company, Nachelle's salary will be $57,000 + $4,000(t).
What is the slope-intercept equation?The slope-intercept equation is in the form of y = mx + b.
The slope intercept describes the equation of a straight line, where m is the slope of the line, y and x are the y and x coordinates, and b is its y-intercept.
Initial starting salary per year = $57,000
Annual raise in salary = $4,000
Period = 4 years
Salary after 4 years = $73,000 [$57,000 + $4,000(4)]
Salary after t years = $57,000 + $4,000(t)
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On Monday Harold picked up six donuts and two large coffees for the office staff. He paid $5.80. On Tuesday, Melinda picked up four donuts and 5 large coffees for the office staff. She paid $7.02. What is the cost of one donut? What is the cost of one large coffee?
Cost of tjhe donut: D
Cost of the large coffee: C
On Monday Harold picked up six donuts and two large coffees for the office staff, he paid $5.80:
\(6D+2C=5.80\)On Tuesday, Melinda picked up four donuts and 5 large coffees for the office staff. She paid $7.02:
\(4D+5C=7.02\)Use the next system of linear equations to find the value of D and C:
\(\begin{gathered} 6D+2C=5.80 \\ 4D+5C=7.02 \end{gathered}\)1. Solve D in the first equation:
\(\begin{gathered} \text{Subtract 2C in both sides of the equation:} \\ 6D+2C-2C=5.80-2C \\ 6D=5.80-2C \\ \\ \text{Divide both sides of the equation into 6:} \\ \frac{6}{6}D=\frac{5.80}{6}-\frac{2}{6}C \\ \\ D=\frac{5.80}{6}-\frac{1}{3}C \end{gathered}\)2. Substitute the D in the second equation by the equation you get in step 1:
\(4(\frac{5.80}{6}-\frac{1}{3}C)+5C=7.02\)3. Solve C:
\(\begin{gathered} \frac{23.2}{6}-\frac{4}{3}C+5C=7.02 \\ \\ \frac{-4C+15C}{3}=7.02-\frac{23.2}{6} \\ \\ \frac{11}{3}C=\frac{42.12-23.2}{6} \\ \\ \frac{11}{3}C=\frac{18.92}{6} \\ \\ C=\frac{3}{11}\cdot\frac{18.92}{6} \\ \\ C=\frac{56.76}{66} \\ \\ C=0.86 \end{gathered}\)4. Use the value of C=0.86 to find D;
\(\begin{gathered} D=\frac{5.80}{6}-\frac{1}{3}C \\ \\ D=\frac{5.80}{6}-\frac{1}{3}(0.86) \\ \\ D=\frac{5.80}{6}-\frac{0.86}{3} \\ \\ D=\frac{17.4-5.16}{18} \\ \\ D=\frac{12.24}{18} \\ \\ D=0.68 \end{gathered}\)The solution fot the system is:
\(\begin{gathered} C=0.86 \\ D=0.68 \end{gathered}\)The cost of one dount is $0.68The cost of one large coffee is $0.86Julie had 2730 cards and Kim had 3570 cards at first.
Julie gave some of her cards to Kim. In the end, Kim had thrice as many cards as Julie.
How many cards did Julie give Kim.
Answer:
1155
Step-by-step explanation:
Total number of cards is 2730+3570=6300
Since Kim now has 3 times the card of Julie so Julie must have 6300/4=1575.
So, Julie gave 2730-1575=1155
Answer:
1155 cards
Step-by-step explanation:
3(2730-x)=3570+x
8190 - 3x = 3570 + x
4620 - 3x = x
4620 = 4x
1155 = x
You are petitioning the city to hold a march for a 1 mile stretch of street. The street is 45 ft wide and each sidewalk is 5 ft deep on each side of the
street. Approximately how many people could fit in this 1 mile stretch if each person requires at least 2 square feet of space.
O 51,300 people
О 99,200 people
O 145,200 people
O 112,500 people
1
1 2 3 4 5 6 7 8 9 10
Answer:
The approximate number of people that could fit in the 1 mile stretch is 145,200 people
Step-by-step explanation:
The length of the street = 1 mile stretch
The width of the street = 45 ft
The depth of each sidewalk = 5 ft
1 mile = 5,280 ft
Therefore;
The area of the side walk on each side of the street = 5 × 5,280 = 26,400 ft²
The area of both side walks = 26,400×2 = 52,800 ft²
The area of the street = 45 × 5,280 = 237,600 ft²
The total area of the street = The area of the street + The area of both side walks = 237,600 ft² + 52,800 ft²
The total area of the street = 290,400 ft²
The area occupied by one person is at least 2 ft²/person
Therefore, the approximate number of people that could fit in the 1 mile stretch = (The total area of the street)/(The area occupied by one person)
The approximate number of people that could fit in the 1 mile stretch = 290,400 ft²/(2 ft²/person) = 145,200 people
The approximate number of people that could fit in the 1 mile stretch = 145,200 people.
please help me answer this question also I'm kind of in a rush you can take your time
a) We can compare the functions about their transformations, there are some rules of translation/transformation:
*f(x)+b shifts the function b units upward
*f(x)-b shifts the function b units downward
f(x+b) shifts the function b units to the left
f(x-b) shifts the function b units to the right
-f(x) reflects the function in the x-axis.
By this, we can say that g(x) is 3 units upward f(x). h(x) is 4 units upward f(x).
k(x) is 1 unit downward f(x).
b) By the same rules, we can say that (x) is translated 2 units to the left.
s(x) is translated 4 units to the left.
q(x) is translated 2 units to the right.
An experimenter would like to construct a 99% confidence interval with a width at most 0. 5 for the average resistance of a segment of copper cable of a certain length. If the experimenter knows that the standard deviation of such resistances is 1. 55. How big a sample should the experimenter take from the population? what happens if the standard deviation and the width of the confidence interval are both doubled?.
A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.
In the given question,
The confidence level = 99%
Given width = 0.5
Standard deviation of resistance(\sigma)= 1.55
We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.
The formula to find the a big sample that should the experimenter take from the population is
Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)
So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)
where n=sample size
We firstly find the value of ME and \(z_{\alpha /2}\).
Firstly finding the value of ME.
ME=Width/2
ME=0.5/2
ME=0.25
Now finding the value of \(z_{\alpha /2}\).
Te given interval is 99%=99/100=0.99
The value of \(\alpha\) =1−0.99
The value of \(\alpha\) =0.01
Then the value of \(\alpha /2\) = 0.01/2 = 0.005
From the standard table of z
\(z_{0.005}\) =2.58
Now putting in the value in formula of sample size.
n=\((2.58\times\frac{1.55}{0.25})^2\)
Simplifying
n=(3.999/0.25)^2
n=(15.996)^2
n=255.87
n≈256
Hence, the sample that the experimenter take from the population is 256.
Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.
The new values,
Standard deviation of resistance(\(\sigma\))= 2×1.55
Standard deviation of resistance(\(\sigma\))= 3.1
width = 2×0.5
width = 1
Now the value of ME.
ME=1/2
ME=0.5
The z value is remain same.
Now putting in the value in formula of sample size.
n=\((2.58\times\frac{3.1}{0.5})^2\)
Simplifying
n=(7.998/0.5\()^2\)
n=(15.996\()^2\)
n=255.87
n≈256
Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.
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Consider the following Expression.
6x-9x-2=-2x-2
What is the value of x?
Answer:
The answer is X = 0
Image transcription textSuppose the following two simple statements are true.
The scroll is open.
The writings are visible.
Determine which of the following compound statements would also be true. Select all that apply.
Answer
The scroll is not open or the writings are visible.
" The scroll is open or the writings are not visible.
The scroll is open or the writings are visible.
1 The scroll is not open or the writings are not visible.... Show more
Based on the given simple statements, "The scroll is open" and "The writings are visible," we can determine which compound statements would also be true.
The scroll is not open or the writings are visible.
This compound statement would be true. Since the first simple statement states that the scroll is open, the negation of this statement would be that the scroll is not open. The second simple statement states that the writings are visible, which aligns with this compound statement. Therefore, this compound statement is true.
The scroll is open or the writings are not visible.
This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, the second part of this compound statement contradicts the given information.
The scroll is open or the writings are visible.
This compound statement would be true. It directly matches the given simple statements, where both the scroll being open and the writings being visible are mentioned. Therefore, this compound statement is true.
The scroll is not open or the writings are not visible.
This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, neither part of this compound statement aligns with the given information.
The compound statements that would be true are:
The scroll is not open or the writings are visible.
The scroll is open or the writings are visible.
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Input and outputRule: the output is t-3Input t: 17, 20, 22, 24Output r: ?
The output is given by:r= t-3
For the inputs,
t=17
The output is
r=17-3=14
For the input, t=20
The output is:
r=20-3=17
For the input, t=22
The output is
r=22-3=19.
For the input, t=24
The output is
r=24-3=21
What is the theme of the story storyteller?
H.H. Munro, a British novelist who wrote under the pen name Saki, examines topics of pride, moral instruction, and inappropriate conduct for kids during the Edwardian era in his book "The Storyteller."
What is the storyteller's moral lesson?The moral of the tale "The Storyteller" is that "not all stories end happily." Within The Storyteller, There would be a lesson that "not all stories end happily." This is relevant to a tale a bachelor shares with a group of individuals. He begins the narrative with Beth, who was the most well-behaved girl in the neighborhood.
The Storyteller centers on Sage, a troubled young baker, who meets Josef Weber, an elderly man, at her bereavement support group. After they become friends, he confesses to being an SS trooper and begs her to murder him in addition to forgiving him for his misdeeds so that he won't have to continue living a lie.
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2
What is the value of f(x) = 23.22 + 2.5 at x = -4.22
=
Answer:
yo download Gauth math it gives u the answer instantly
Can someone really help me!
lets take number one for example,
When subtracting negative numbers, the (-) in the number (-20) cancels out the original minus sign, therefore, to answer the equation:
10 - (-20)
you would need to turn the equation into an addition problem, getting the equation:
10 + 20
and from there you can get the simple answer of:
30
(brainliest please)
Help ASAP! 100 Points!! Look AT PHOTO!
Answer:
1
2,3,4
Step-by-step explanation: to
when the number of football is 1 is less expensive than basketball
Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9 and FG = 3x +17
Answer:
The length of EG is 58 units
Step-by-step explanation:
The midpoint of a segment divides it into two equal part
Let us use this rule to solve our question
∵ E, F, and G are collinear points
∵ Point F is the midpoint of segment EG
→ That means F divides EG into 2 equal segments EF and FG
∴ EF = FG
∵ EF = 5x + 9
∵ FG = 3x + 17
→ Equate them
∴ 5x + 9 = 3x + 17
→ Subtract 3x from both sides
∵ 5x - 3x + 9 = 3x - 3x + 17
∴ 2x + 9 = 17
→ Subtract 9 from both sides
∴ 2x + 9 - 9 = 17 - 9
∴ 2x = 8
→ Divide both sides by 2 to find x
∵ \(\frac{2x}{2}=\frac{8}{2}\)
∴ x = 4
→ Substitute x by 4 in EF and FG to find their lengths
∵ EF = 5(4) + 9 = 20 + 9 = 29
∵ FG = 3(4) + 17 = 12 = 17 = 29
∵ EG = EF + FG
∴ EG = 29 + 29 = 58
∴ The length of EG is 58 units
Brainliest! Correct! Fast!
Answer:
c or the third one
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
An airplane travels 3690 kilometers against the wind in 5 hours and 4490 kilometer with the wind in the Sam amount of time what is the rate of the plane
still air and what is the rate of the wind?
Step-by-step explanation:
Against the wind, the wind works against the speed. With the wind, the wind aids the speed.
4(p - w) = 2416
4(p + w) = 2896
p - w = 604
p + w = 724
2p = 1328
p = 664 mph
664 + w = 724
w = 60 mph
You have to solve the problem \frac{3}{4}-\frac{1}{8} 4 3 − 8 1 . After you make the denominators the same, what do you do?
FOR ALL MY POINTS
Answer:
If you are doing subtraction with fractions you need to make a common denominator and subtract the numerators from each other
ex. 1/2 - 1/3
make a common denominator (or find the least common multiple)
3/6 - 2/6
subtract the numerators
take 2 from 3 and put that on top.
Solution 1/2-1/3= 3/6-2/6= 1/6
Convert the exponential to a logarithmic form: 10 ^ 4 = 10000
Answer:
10^4 = 10 × 10 × 10 × 10
= 10000
6(x + 3) - 9 = 27 solve for x
Answer:
x=3
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
6(x+3)-9=27
6x+18-9=27
6x+9=27
-9 -9
6x=18
/6 /6
x=3
-hope it helps
How do I figure out what graph(s) is linear or exponential? can someone explain how to do this for me?
Answer:
Linear functions are graphed as straight lines while exponential functions are curved. Linear functions are typically in the form y = mx + b, which is used to discover the slope, or simply the change in y divided by the change in x, while exponential functions are typically in the form y = (1 + r) x.
Step-by-step explanation:
How many terms are in the algebraic expression
Also, What do they mean by "Terms"
Answer:
There are 4 terms
Step-by-step explanation:
A term is a single mathematical expression. Terms can be identified with a plus or minus sign in front of them. Terms can also be multiplied and divided.
So, in this case, the terms are:
-7
12x^4
-5y^8
x
A tree planter gets paid $110 per day plus $5 for each tree that is planted. The tree planter wants to make at least $275 dollars on a given day.
Enter an inequality that represents the number of trees (t) that need to be planted for the tree planter to earn at least $275. Show work
Let t be the number of trees planted.
The amount earned by planting t trees is given by:
110 + 5t
To make at least $275 on a given day, the inequality would be:
110 + 5t ≥ 275
Simplifying and solving for t, we have:
5t ≥ 165
t ≥ 33
Therefore, the tree planter needs to plant at least 33 trees to earn at least $275 on a given day.
9. the water temperature at the beach
Answer:
79 degrees
Step-by-step explanation:
No Explanation
a top hat contains 3 red chips and 2 green chips. chips are drawn randomly, one at a time without replacement, until all 3 of the reds are drawn or until both green chips are drawn. what is the probability that the 3 reds are drawn?
The probability that the 3 reds are drawn is 2/5.
Five chips are arranged at random, and the chips are then taken starting from the left to the right. We solve for \($\binom{5}{2} = 10$\) to see how many ways there are to arrange the three red chips and the two green chips. We have found, however, that whenever the final red chip is drawn, we take the first two green chips. In a similar manner, if the final chip is green, we choose all three red chips before the final chip. This implies that in all possible outcomes, the final chip must be green.
As a result, we must determine how many ways there are to arrange three red chips and one green chip, which is \($\binom{4}{3} = 4$\). The answer is \($\boxedtextbf(B) \frac{2}{5}$\) since a green chip will be the last 4 out of the 10 situations.
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$86 for 8 hours of babysitting. how much do u make for one hour?
unit rate :
plz help meee
4. verify the following identities 0 (a) 1 = 10 (x) + 2 (-1)"l2n(x) n=1 00 (b) e* = 10(x) +2 1. (x) = n=1 0 c) (c) e-* = 10(x) +2X(-1)"In(x) -X = n=1 0 (d) cosh x = 10(x) +2 Izn (x) X d n=1 00 (e) sinh x = 222n-1(x) - n=1
The given identities can be verified using basic rules of exponentials and algebra. Here are the steps to verify the given identities:
(a) 1 = ∑_(n=1) ^∞▒〖10^(x)+2(-1) ^nln(x)〗0
Rewrite the sum to obtain two series, one for even values of n, and one for odd values of n. ∑_(n=1)^∞▒10^(x) = 10^x+10^x+...= (2/3) (10^x) (odd terms only)∑_(n=1)^∞▒〖(-1)^nln(x)〗= ln(x)-ln(x)+ln(x)-ln(x)+...= (0) (even terms only)
Thus, we have 1= (2/3) (10^x) + (0) = (2/3) (10^x) (b) e^x = ∑_(n=1) ^∞▒〖10^x+2n(x)〗
Rewrite the sum to obtain two series, one for even values of n, and one for odd values of n.
∑_(n=1) ^∞▒10^(x) = 10^x+10^x+...= (1/2) (10^x) (even terms only) ∑_(n=1) ^∞▒〖2n(x)〗= 2(x)+2(2x) +2(3x) +...= 2x (1+2+3+...) = -x/(-1) ^2= -x
Thus, we have e^x= (1/2) (10^x) - x(c) e^(-x) = ∑_(n=1) ^∞▒〖10^x+2(-1) ^nln(x)〗0
We can use the same series from part (a) with x replaced by -x.
Thus, we have e^(-x) = (2/3) (10^(-x)) + (0) = (2/3) (1/10^x)
Similarly, e^x= (2/3) (10^x) Subtracting these two equations, we get: e^x - e^(-x) = (2/3) (10^x + 1/10^x) (answer) (d)
Cosh x = ∑_(n=0) ^∞▒〖10^x+2n(x)〗
Similar to part (b), we have two series, one for even values of n, and one for odd values of n.∑_(n=0)^∞▒10^(x) = 1+10^x+10^x+...= (1/2) (10^x) (even terms only)∑_(n=0)^∞▒〖2n(x)〗= 0+2x+2(2x)+2(3x)+...= 2x (1+2+3+...)= 2x(1/(-1)^2)= 2xThus, we have Cosh(x) = 1 + (1/2) (10^x) + 2x (e^x)(e^x - e^(-x)) / 2= 1 + (1/2) (10^x) + 2x (1 + (2/3) (10^x + 1/10^x)) (answer)(e) Sinh x = ∑_(n=1)^∞▒〖2^(2n-1)(x)〗
Rewrite the sum to obtain two series, one for even values of n, and one for odd values of n.∑_(n=1)^∞▒〖2^(2n-1)(x)〗= 2x+2^3x+2^5x+...= 2x(1+2^2+2^4+...)= 2x(2^0+2^2+2^4+...)= 2x(1/ (1-2^2))= -2x/3Thus, we have Sinh(x) = ∑_(n=1)^∞▒〖2^(2n-1)(x)〗= 2x/3 (answer)
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Evaluate:
93 + (-23)
Answer:
Step-by-step explanation:
93+23 then u takeaway the whole number to 93
Answer:
The answer is 70.
Step-by-step explanation:
If you subtract 23 from 93, you will get 70.