· Amanda has $210 in her school lunch account. She spends $35 each week on school lunches. The
equation a = 210 - 35w represents the total amount in Amanda's school lunch account a for w
weeks of purchasing lunches.
Answer:
(See step-by-step)
Step-by-step explanation:
Let’s start by making A-(X) and W-(Y). So, when substituting the variables you get x=210-35y. When x=0, the answer to the equation is 6. So, the y-intercept (when x=0) is 6 or (0,6). When y=0, the answer to the equation/x-intercept(y=0) is 210 or (210,0). The graph itself looks like the image included.
The domain, realistically, is x>=0 however on the graph itself, the domain is x= All Real Numbers. The range realistically is y>=0, but on the graph it is also All Real Numbers.
The x-intercept is the account when no weeks have passed and no money is lost (210) and the y-intercept is the maximum amount of weeks before there is no more money in the account (6).
Answer:
Blank 1: 6
Blank 2: 6
Blank 3: 0
Blank 4: 210
Blank 5: 210
Step-by-step explanation:
reasons better than the other
Lin Ying belongs to an athletic club. In 800 m races her times are normally distributed with mean 128 seconds and standard deviation
4 seconds.
(a) What is the probability of her time in an 800 being between 120 and 130 seconds?
(b) What time will she beat in 70% of her races?
Julie belongs to the same club. In 800 m races 85% of her times are less than 140 seconds and 70% are less than 135 seconds. Her times are normally distributed.
(c) Find the mean and standard deviation of Julie's times, each correct to two significant figures.
(d) What is the probability that in an 800 m race Lin Ying will beat Julie?
(e) The club has to choose one of these two athletes to enter a major competition. In order to qualify for the final rounds it is necessary to achieve a time of 114 seconds or less in the heats. Which athlete should be chosen and why?
Answer:
Nine of the times for the first race were at least 16 seconds
Step-by-step explanation:
Here we have from the scatter plot, the times are given as
Time Frequency
19 2
18 2
17 2
16 3
15 1
Therefore, total number of times that are above 16 seconds in the first race is
3 + 2 + 2 + 2 = 9
Therefore, the first option is correct
Answer:
Step-by-step explanation:
The answer is below. Plesetake a look and it will help you
I need help with this
Answer:
D
Step-by-step explanation:
Find the value of x and the values of the missing angles. 12 points!
Answer:
X=30
Step-by-step explanation:
4x+x+x=6x 180/6=30 so 4x= 120
x on the bottom left is just 30 and x on the right is 30x3
simplify:
7r + 10 - 2(2r + 3s - 5t) + 2(4s - t) + 5?
Answer:
3+2+8+15
Step-by-step explanation:
it's right, trust me
Answer:
[tex]3r + 2s + 8t + 15[/tex]
Step-by-step explanation:
[tex]7r + 10 - 2(2r + 3s - 5t) + 2(4s - t) + 5[/tex]
[tex] = > 7r + 10 - 4r - 6s + 10t + 8s - 2t + 5[/tex]
[tex] = > 7r - 4r + 8s - 6s + 10t - 2t + 10 + 5[/tex]
[tex] = > 3r + 2s + 8t + 15[/tex]
Troy runs marathons, which are about 26 miles long. He usually runs 4 marathons a year, and he has been doing this for 11 years. Troy estimates he has run a little over 100 miles during all these marathons. Is that a good estimate?
Yes
No it is much high
No it is much low
15 by 20 by 50 by 40 by 0
answer and you become a brainliest
im 15 yayyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Order the numbers from least to greatest 3/7, 5/9, 43%
Answer:
The answer is 3/7, 43%, 5/9
Answer:
3/7.43%, 5/9
Step-by-step explanation:
3/7, 43/100,5/9
3/7, .43, 59
Unit Rate ez pls help
Answer:
it can print 24 pages in 15 minutes which means it can print 72 pages in an 3/4 of an hour. 96 in 1 hour, and
Step-by-step explanation:
Construct the indicated confidence interval for the difference between population proportions p1 - p2. Assume that the samples are independent and that they have been randomly selected. A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference between the two population proportions.
Answer:
-0.0423≤p≤0.0977
Step-by-step explanation:
The margin error formula is expressed as;
ME = p±√p(1-p)/n
n is the sample size
For the first population proportion p1:
p1 = 193/558 = 0.3469
n1 = 558
p2 = 196/614 = 0.3192
n2 = 614
Taking the difference in the confidence of the proportion
p = p1-p2
p = 0.3469-0.3192
p= 0.0277
Get the margin of error
Margin of error = z*√p(1-p)/n
Margin of error = 2.5758*√0.35(1-0.35)/558 + 2.5758*√0.32(1-0.32)/614
Margin of error = 2.5758*√0.35(0.65)/558 + 2.5758*√0.32(0.68)/614
Margin of error = 2.5758*(0.02019)+2.5758(0.0188)
Margin of error = 0.07
Get the confidence interval
CI = p±ME
CI = (p-ME, p+ME)
CI = (0.0277-0.07, 0.277+0.07)
CI = (-0.0423, 0.0977)
Hence a 99% confidence interval for the difference between the two population proportions is -0.0423≤p≤0.0977
help pls :) !!!!!!!!!!!!!!!!!
Answer:
[tex]\displaystyle \text{A) }-\frac{2\pi}{3}[/tex]
Step-by-step explanation:
Trigonometric Functions
Horizontal shifts of trigonometric functions are changes that affect the input axis values and shift the function left or right.
If the function is to be shifted left a units, then the variable x is replaced by x+a and if the function is shifted right a units, then x is replaced by x-a.
The function is:
[tex]y=2\cos\left(x+\frac{2\pi}{3}\right)+1[/tex]
Note the argument of the cosine is [tex]x+\frac{2\pi}{3}[/tex] which means the value of a is [tex]-\frac{2\pi}{3}[/tex] and the function is shifted left by [tex]\frac{2\pi}{3}[/tex].
Answer:
[tex]\displaystyle \text{A) }-\frac{2\pi}{3}[/tex]
Dina wants to earn money to save for a car so she decided to make beaded bracelets to sell at a local Farmer’s Market. She rented a table for $15 and set up her shop. Each bracelet that she makes cost approximately $1.75 for materials. She sells each bracelet for $6.00.
How much profit will she make from each bracelet, not including the table rental?
(A.) $1.75
(B.) $6.00
(C.) $4.25
(D.) $7.75
what is the slipe of the line that passes through the two points (3,-4) and (5,8)
Answer:
m=6
Step-by-step explanation:
Using the slope formula-
m=8+4/5-3
m=12/2
m=6
Answer:
6
Step-by-step explanation:
slope =∆y
∆x
=8--4/5-3
=6
ILL GIVE BRAINLEST
Answer:
it would be increasing.
Step-by-step explanation:
Answer:
its inreasing happy to help brainlest plz
Step-by-step explanation:
The Cyclops and Dragon both have a lot of friends that are serving as bridesmaids and groomsmen. Also, the King is acting as the officiant of the ceremony. Poly determines that the best way to organize everyone is for the officiant to stand at a vertex at the front, and to have the bride and groom stand across from each other. The bridesmaids and groomsmen will then line up so that the entire group forms a "U" shape that is symmetric about a line that passes through the point where the officiant stands.
What type of function most accurately models this structure?
quadratic
radical
linear
rational
Answer:
quadratic
Step-by-step explanation:
13 PTS!! The main idea of this story is that _____.
1. George Washington was general
2. the men were lifting logs
3. George Washington was kind
4. kindness knows no rank
Answer:
George Washington was general
Step-by-step explanation:
i dont know what movie you are talkibg about but this seems more accurate to what he was
Please solve this all of it thx!!
Answer:
6,24,12,16,18,4
Step-by-step explanation:
Brainliest please
Happy holidays
Keenan has 8 coins worth $0.70. If the coins are all dimes and nickels, how many dimes and nickels does he have?
Answer:
0.70
Step-by-step explanation:
StartFraction 2 Over n EndFraction = two-thirds
a.
n = 30
c.
n = 3
b.
n = three-fourths
d.
n = 1 and one-third
Answer:
3 Kfc
Step-by-step explanation:
2/3 times 9/2 is 18/6 which gives you 3
Jason’s checkbook had a balance of $525.02 on May 5. On May 6, he wrote a check for $107.65 at the grocery store. On May 8, he wrote a check for $228.00 for his car payment. On May 9, his grandmother sent him $55.00 and he deposited this in his account.
What is the balance of Jason’s account after this deposit?
Answer:
Jason has $244.37 in his bank account.
Step-by-step explanation:
This is simple addition and subtraction,
525.02 - 107.65 - 228.00 + 55.00 = bal
The rectangular rug in Marcia's living room measures 12 feet by 72 inches.
What is the rug's area in square feet?
Answer:
109 square feet.
Step-by-step explanation:
109 in: = 109/12 = 9.0833333.... = 9 5/60 = (540+5)/60 = 545/60
Area = L*w
L = 545/60 feet
W = 12 feet
Area = 545/60 * 12
Area = 545*12/60
Area = 545 /5 = 109 square feet
Step-by-step explanation:
109 square feet.
Step-by-step explanation:
109 in: = 109/12 = 9.0833333.... = 9 5/60 = (540+5)/60 = 545/60
Area = L*w
L = 545/60 feet
W = 12 feet
Area = 545/60 * 12
Area = 545*12/60
Area = 545 /5 = 109 square feet
One year, the population of a city was 333,000. Several years later it was
293,040. Find the percent decrease.
Answer:12%
Step-by-step explanation:
(333000-293040)×100/333000
Which calculation can be used to find the value of p in the equation p3 = 8?
Answer:
if you meant p cube then the answer is p=2
if you meant p *3 then the answer is p=8/3
Round 259.98991 to the nearest hundredths
Answer:
259.99
Step-by-step explanation:
You look at the hundreths place and see if the number behind it is bigger than 5, and if it is then you up it by one, and if it's 4 and below then you round it to zero. In this case you up it by one and you get 269.99.
I hope this helps!!!!
Answer:
hey
Step-by-step explanation:
259.99................................................................
wow
Which of the lines graphed has a slope of 3 and a y-intercept of 2?
Answer:
A
Step-by-step explanation:
n automobile manufacturer claims that its van has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 280 vans, they found a mean MPG of 37.8. Assume the standard deviation is known to be 2.3. A level of significance of 0.05 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.
Answer:
Then z(s) is out of the acceptance region, we reject H₀, doubts of the independent testing firm are valids
Step-by-step explanation:
We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out if there is an incorrect MPG rating from the manufacturer
Test Hypothesis :
Null hypothesis H₀ μ = μ₀
Alternative Hypothesis Hₐ μ ≠ μ₀
Significance Level α = 0,05 α/2 = 0,025
z(c) for α/2 from z-table z(c) = - 1, 96 and by symmetry z(c) = 1,96
Calculating z(s)
z(s) = ( μ - μ₀ ) / σ /√n
z(s) = ( 37,8 - 37,4 ) / 2,3 /√280
z(s) = 0,4 * 16,73 / 2,3
z(s) = 2,90
Comparison between z(c) and z(s)
z(s) > z(c) 2,90 > 1,96
Then z(s) is out of the acceptance region, we reject H₀, doubts of the independent testing firm are valids
Identify the ordered pair that names each point. That identify the quadrant in which it is located. 1-12
i cant see the entire screen, but just look at the letter, and say which point it is
What is the weight of a 32 kg child
Answer:
32000 grams
Step-by-step explanation:
The weight of a 32 kg child in pounds is 70.56 pounds.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
The weight of baby = 32 kg
Now,
Since, 1 kg = 2.205 pounds
So, We convert the weight of baby from kg to pounds as;
1 kg = 2.205 pounds
32 kg = 32 x 2.205 pounds
= 70.56 pounds.
Thus, The weight of a 32 kg child in pounds is 70.56 pounds.
Learn more about the measurement unit visit:
https://brainly.com/question/12743539
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How many cups are in 6.5 pints?
Answer:
13
Step-by-step explanation:
Answer:
13 cups
Step-by-step explanation:
2 cups = 1 pint
6.5 x 2 = 13
Given the points (-1,1) and (-2,1) on the line find the equation of the line