Laura is stuck in aisle six at the supermarket trying to decide which jar of peanut butter to buy she can buy a 16-ounce jar for $2.59 or 24- ounce jar for $3.29. Which jar has a lower unit price per ounce? Show your calculations and reasoning. REAL ANSWERS ONLY
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Answer:
24-oz jar is lower cost per ounce
Step-by-step explanation:
The 16-ounce jar is almost $2.60. The 24-ounce jar contains half again as much peanut butter (16 +1/2·16 = 24). So, if the 24-ounce jar were the same price, it would cost half-again as much:
$2.60 +(1/2)2.60 = $2.60 +1.30 = $3.90.
The 24-ounce jar is priced considerably below that amount, so the 24-ounce jar has a lower price per ounce.
__
You could also view the 16-ounce jar as 2/3 the quantity of the 24-ounce jar. If it were the same price, that price would be about (2/3)$3.30 = $2.20. The 16-ounce jar is somewhat more than that, so costs more per ounce.
_____
Additional comment
For the estimates we did here, we needed prices that were divisible by 2 or 3. That involved adding a penny to the given price. So, the estimated equivalent price is off by a penny or so--not an issue in this case.
Note that we didn't actually need to find the per-ounce prices. We only needed to find the price for an equivalent number of ounces, which is much easier mental arithmetic.
There are 90 passengers on a commuter flight from SFO to LAX, of whom 27 are traveling on business. In a random sample of five passengers, use the binomial model to find the approximate hypergeometric probability that there is at least one business passenger.
Answer:
0.8401 = 84.01% probability that there is at least one business passenger.
Step-by-step explanation:
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this question:
Samples of 5, so [tex]n = 5[/tex]
90 passengers, so [tex]N = 90[/tex]
27 traveling on businnes, so [tex]k = 27[/tex]
Probability that there is at least one business passenger.
Either none are on business, or at least one is. The sum of these probabilities is 100% = 1.
Probability of none on business:
[tex]P(X = 0) = \frac{C_{27,0}*C_{63,5}}{C_{90,5}} = 0.1599[/tex]
Probability of at least one business passenger:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1599 = 0.8401[/tex]
0.8401 = 84.01% probability that there is at least one business passenger.
Question: What is the the total area of the kitchen floor?
Answer:
56
Step-by-step explanation:
If we split this figure to 2 parts, we figure the area based upon this composite figure.
1 figure is 10x4(rectangle)
the other figure is a 4x4 square (Note we subtract 8 by 4 because we don't want overlapping area)
After that we find the area of those to figures then we add them up
(4x4)+(10x4)
16+40
56
20 POINTS (Again) Helppp Hurry!!
Answer:
6
Step-by-step explanation:
Answer:
m∠5=34°
Step-by-step explanation:
angle 1 is a corresponding angle to angle 5 therefore they are congruent
ASAP PLEASE!!!!!!!!!!!
Alexis borrows money to buy a new phone. She plans to pay back $301 in 7 months by paying the same amount each month. The total amount she needs to pay back is $645.
7 301
x 645
If she pays the same amount each month, how many months will it take Alexis to pay back $645? Let x represent the number of months it will take Alexis to pay back $645 at the given rate.
X= ___ months
Alexis decides that she wants to pay back the $645 three months sooner. She will need to pay back more each month than she originally planned. How much does Alexis need to pay each month to pay back the money 3 months sooner?
$___per month
(30 POINTS) Select the correct answer.
Which equation has no solution?
A. 1/2(8x + 6) -2x = -3(2x + 1)
B. -4(1/2x + 2) = -2x - 8 + 4x
C. 7(x + 2) - 3x = 2/3 (6x + 3)
D. -2x + 5 - 3x + 12 = -5(x - 3) + 2
Answer:
C. 7(x + 2) - 3x = 2/3 (6x + 3)
Step-by-step explanation:
ANSWER FROM PLATO
When solving an equation, if the variable terms cancel out leaving different numbers on each side of the equal sign, then the equation has no solution.
Consider the following equation:
7(x + 2) - 3x = 2/3 (6x + 3)
7x + 14 - 3x = 4x + 2
4x + 14 = 4x + 2
14 = 2
Therefore, the equation has no solution.
The National Household Travel Survey gathers data on the time of day when people begin a trip in their car or other vehicle. Choose a trip at random and record the time at which the trip started. What probability should replace the "?" in the table?
Time of Day 10PM- 12:59AM 1AM- 5:50AM 6AM- 8:59AM 9AM- 12:59PM 1PM- 3:59PM 4PM- 6:59PM 7PM- 9:59PM
Probability 0.004 0.033 0.144 0.234 0.208 ? 0.123
a. 0.964
b. 0.379
c. 0.752
d. 0.218
Answer:
A probability of 0.254 should replace the "?" in the table
Step-by-step explanation:
We have the probabilities for the time of the day when each person begins a trip, during a 24-hour period.
The sum of these probabilities has to be 100% = 1.
The probabilities are of: 0.004, 0.033, 0.144, 0.234, 0.208, ?, 0.123
Since their sum has to be 1, we can find ?. So
0.004 + 0.033 + 0.144 + 0.234 + 0.208 + ? + 0.123 = 1
0.746 + ? = 1
? = 1 - 0.746
? = 0.254
A probability of 0.254 should replace the "?" in the table
Help me figure out x= 2, 6, 3.75
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Answer:
x = 2
Step-by-step explanation:
The product of secant lengths to the near and far circle intercepts is the same for both secants:
3 · (3+5) = 4 · (4+x)
24 = 4(4 +x) . . . . simplify
6 = 4 +x . . . . . . . .divide by 4
2 = x . . . . . . . . . subtract 4
A fifth grade teacher gives homework every night in both mathematics and language arts. The time to complete the mathematics homework has a mean of 30 minutes and a standard deviation of 3 minutes. The time to complete the language arts homework has a mean of 40 minutes and a standard deviation of 4 minutes. Assuming both distributions of homework time are Normally distributed, what is the probability that the average time it takes to complete both homework assignments is greater than 82 minutes?
Answer:
0.82% probability that the average time it takes to complete both homework assignments is greater than 82 minutes
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Math homework:
[tex]\mu_M = 30, \sigma_M = 3[/tex]
Arts homework:
[tex]\mu_A = 40, \sigma_A = 4[/tex]
What is the probability that the average time it takes to complete both homework assignments is greater than 82 minutes?
Here, we have a sum of normal variables. The mean will be the sum of the means, while the standard deviation is the square root of the sum of the variances. So
[tex]\mu = \mu_M + \mu_A = 30 + 40 = 70[/tex]
[tex]\sigma = \sqrt{\sigma_M^2 + \sigma_A^2} = \sqrt{3^2+4^2} = 5[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 82. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{82 - 70}{5}[/tex]
[tex]Z = 2.4[/tex]
[tex]Z = 2.4[/tex] has a pvalue of 0.9918
1 - 0.9918 = 0.0082
0.82% probability that the average time it takes to complete both homework assignments is greater than 82 minutes
A learning experiment requires a rat to run a maze (a network of pathways) until it locates one of three possible exits. Exit 1 presents a reward of food, but exits 2 and 3 do not. (If the rat eventually selects exit 1 almost every time, learning may have taken place.) Let Yi denote the number of times exit i is chosen in successive runnings. For the following, assume that the rat chooses an exit at random on each run.
Required:
Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2
Answer:
Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2
=0.823
Step-by-step explanation:
Multinomial distribution
p(y1;y2,y3…..yk) = (n!/y1!,y2!,y3!…y4!) x p1^y1 x p2^y2 x p3^y3 x pk^yk)
The rat chooses of the three exists at random:
p = 1/3
p(3,2,1) = 6! / 3! 1! 2! (1/3)^3 (1/3)^1 (1/3)^2
=20/243
=0.823
132 is what percent of 880
Answer:
Step-by-step explanation:
132 is what percent of 880? = 15.
the radius of a circle is 9 M what is the circle's circumference use 3.14 for pi
Answer:
56.52 is the circumference. If the radias is 9 and the diameter is then 18.
Step-by-step explanation:
Answer:
56.52 is the circumference. If the radias is 9 and the diameter is then 18.
Step-by-step explanation:
Which equation represents the following table?
Answer:
y=2x-4
Step-by-step explanation:
gdgdvdjsksevsg
SOLVE:
24 - 24 : 3 + 1
Answer
17
its a division sign for : so 24-24 divided by 3 + 1
Determine whether m(t)=(4/5)^t represents exponential growth or exponential decay. And Identify the percent rate of change.
Answer:
Step-by-step explanation:
exponential decay
rate of change: 20%
Tim has 54 golf balls. He wants to put an equal number of golf balls in each of 9
baskets. How many golf balls will be in each basket?
CLEAR
SUBMIT
5 golf balls
6 golf balls
7 golf balls
8 golf balls
Which is the simplified form of ,-7 +5-12?
구
12
0 - - s12
s12
0 +11
s12
What is the area of the figure?
Answer:
252 in²
Step-by-step explanation:
Just separate them into different shapes and add their areas together.
Answer:
252 Inches
Step-by-step explanation:
We first section off all the areas we can, find the area of each of those, add them all up, and you get 252 inches.
what a ratio of 4 days to 36 hours
Answer:
4:36
24 x 4:36
96:36
8:4
1day = 24 hours
Step-by-step explanation:
Solve for x.
3 (4-2x) = -2x
A)-1
B)1
C)2
D)3
[tex]3(4 - 2x) = - 2x[/tex]
Distribute 3 in the expression.[tex]12 - 6x = - 2x[/tex]
Solve the equation for x-term by making x as the subject.[tex]12 = - 2x + 6x \\ 12 = 4x \\ \frac{12}{4} = x \\ 3 = x[/tex]
Answer Check by substituting the value of x in the equation.[tex]3(4 - 2x) = - 2x \\ 3(4 - 2(3)) = - 2(3) \\ 3(4 - 6) = - 6 \\ 3( - 2) = - 6 \\ - 6 = - 6 \: \: \green{ \checkmark}[/tex]
The equation is true when x = 3. Therefore the answer is D. 3
Answer[tex] \large \boxed{x = 3} \: \: \sf{or} \: \: \large \boxed{ \sf{D \: \: choice}}[/tex]
Answer:
solution
Step-by-step explanation:
3 (4-2x)= -2x
12-6x= -2x
12= -2x+6x
12= 4x
12÷4= x
3= x
D
[tex]\frac{1}{3}x+6=8[/tex]
Simplify: 6√3 + 2√75 - 4√27
do you know the answer?
Answer:
4√3 or Decimal form 6.928203
Step-by-step explanation:
ofc i know the answer, ima different breed
Factor.
8xy - 54x^2 how to solve this
Help please.
Solve for the unknown variable for the following similar shapes.
The longest sea bridge, the Jiaozhou Bay Bridge in China, spans 26.4 miles. The longest sea bridge in the United States is the Lake Pontchartrain Causeway in Louisiana, which spans 41,940 yards. How much longer is the Jiaozhou Bay Bridge, in units of feet, than the Lake Pontchartrain Causeway
Answer:
2.57 yards longer
Step-by-step explanation:
Step one:
given data
We are told that the Jiaozhou Bay Bridge in China, spans 26.4 miles
Also, The longest sea bridge in the United States is the Lake Pontchartrain Causeway in Louisiana, which spans 41,940 yards
Required
Unit conversion from yards to miles
Step two:
let us convert 41,940 yards to miles
We know that 1 yard is 0.000568182 miles
hence 41,940 yards is x miles
cross multiply we have
x= 41,940*0.000568182
x=23.83 yards
Hence the difference in their lengths is
=26.4-23.83
=2.57 yards
15) A store is having a sale during which all outdoor furniture is 45% off the original price, p. If
the post-sale price of an outdoor furniture set can be calculated using the expression p
0.45p, which expression also represents the price?
Answer and explanation:
Given that there is 45% off original price of outdoor furniture and price is represented by p
Discount on original price of outdoor furniture = 45% of p=0.45×p=0.45p
Therefore post sale price(after discount) of outdoor furniture can be represented by (1-0.45)p=0.55p
Simplify the expression 15-24divide3•2+13=
Answer:
[tex] \frac{ - 9}{19} [/tex]
Step-by-step explanation:
[tex] \frac{15 - 24}{3 \times 2 + 13 } = \frac{ - 9}{19} [/tex]
A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During
one particular week, the two cars went a combined total of 1325 miles, for a total gas consumption of 75 gallons. How many gallons were consumed by each of
the two cars that week?
Answer:
40 and 35
Step-by-step explanation:
If we say the first car uses x gallons then the second car must use 75 - x gallons.
The distance travelled is the number of gallons used * the efficiency of the car.
20x + 15(75-x)=1325
20x + 1125 - 15x = 1325
5x = 200
x = 40
This means that the first car uses 40 gallons and the second car uses 75-40= 35 gallons
WILL GIVE BRAINLIEST
the answer is 162
(to add more letters)
A rectangle and a square have equal areas. The length of the square is 9 cm.The rectangle has width 4 cm. What is the perimeter of the rectangular?
Answer:
Perimeter = 26 cm. Area =
Step-by-step explanation:
The rectangle has a width of 4 cm and the square has a length of 9. cm, so to make them have the same area you make the length of the rectangle 9 cm and the square have a width of 4 cm.
then each shape will have two sides that are 9 cm and two sides that are 4 cm.
Perimeter
9 + 9 = 18
4 + 4 = 8
18 + 8 = 26
the perimeter is 26 cm.
Area
9 x 4 = 36
the area is 36 cm.
Answer:
Width is 4cm and length is 20.25, so perimeter is 48.5
Step-by-step explanation:
Square has same length for each side
Area for the Square 9 x 9 = 81
So find another number that adds up to the area of the square
Area for Rectangle 4 x 20.25 = 81
Width for Rectangle is 4cm and length is 20.25, so perimeter is 48.5
Should be pretty easy if you have a calculator, It'll just take a couple more minutes :D