Her mum ate 31/40 of the cake
Given the weight of the cake to 1 pound
If Carol ate 2/5 of the cake, the remaining fraction of the cake will be 1 - 2/5 = 3/5
If Dima ate 3/8 of the REMAINING cake, then the fraction of cake Dima ate will be:
Dima = 3/8 * 3/5
Dima = 9/40
Fraction of the cake that her mum ate = 1 - 9/40 = 31/40
Hence her mum ate 31/40 of the cake
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Jade spent 37.60 on groceries. 4/5 of that total was spent on vegetables. How much was spent on other items
What is the value of the expression? 56−(18÷34) as a fraction in simplest form
The value of the expression [tex]\( 56 - \left( \frac{18}{34} \right) \)[/tex] as a fraction in simplest form is [tex]\( \frac{943}{17} \)[/tex].
To solve the expression, we first perform the division within the parentheses:
[tex]\[ \frac{18}{34} \][/tex]
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[ \frac{18 \div 2}{34 \div 2} = \frac{9}{17} \][/tex]
Now we have:
[tex]\[ 56 - \frac{9}{17} \][/tex]
We need to express the whole number as a fraction with the same denominator as the fraction we are subtracting.
[tex]\[ \frac{56 \times 17}{17} - \frac{9}{17} \][/tex]
[tex]\[ \frac{952}{17} - \frac{9}{17} \][/tex]
[tex]\[ \frac{952 - 9}{17} \][/tex]
[tex]\[ \frac{943}{17} \][/tex]
solve the equation for x.
ax+bx=c
Answer: x = c/a + b
Step-by-step explanation: I have put the variable x in purple in the image that I have made so you can see it better.
Notice that the variable we are solving for in
this problem appears in 2 separate terms.
In this situation, we must factor the x out
of both terms to get x(a + b) = c.
Think about it as the reverse of the distributive property.
In other words, if we take our second step and distribute the x
through the parentheses, we end up back at our first step.
The beauty of factoring is that the two x's in this problem
have now been combined into one x and we can get x
by itself by dividing both sides by a + b.
This gives us x = c/a + b.
Help please :) ! The dashed triangle is the image of the pre-image solid triangle. What is the scale factor used to create the dilation? Enter your answer in the box.
Let
x---------> measure of the base of the triangle of the image
y---------> measure of the base of the triangle of the pre-image
sf-------> the scale factor
we know that
the scale factor is equal to
[tex]sf=\frac{x}{y}[/tex]
in this problem we have
[tex]x=6\ units\\y=3\ units[/tex]
Find the scale factor
substitute the values of x and y in the formula above
[tex]sf=\frac{6}{3}=2[/tex]
therefore
the answer is
the scale factor is equal to [tex]2[/tex]
Discuss the differences between parametric and non-parametric tests?
We are conducting a test of the hypotheses h0: p = 0.2 ha: p ≠ 0.2 we find a test statistic of z = -1.11. what is the corresponding p-value? give your answer as a proportion between 0 and 1 to 4 decimal places.
12.917 rounded to the nearest ones
Amanda, Bryce, and Corey enter a race in which they have to run, swim, and cycle over a marked course. Their average speeds are given in the table. Corey finishes first with a total time of 2 hr 32 min. Amanda comes in second with a time of 3 hr 33 min. Bryce finishes last with a time of 4 hr 14 min. Find the distance (in mi) for each part of the race.
Computer upgrades have a nominal time of 80 minutes. samples of five observations each have been taken, and the results are as listed. sample 1 2 3 4 5 6 79.2 80.5 79.6 78.9 80.5 79.7 78.8 78.7 79.6 79.4 79.6 80.6 80.0 81.0 80.4 79.7 80.4 80.5 78.4 80.4 80.3 79.4 80.8 80.0 81.0 80.1 80.8 80.6 78.8 81.1 factors for three-sigma control limits for formula179.mml and r charts factors for r charts number of observations in subgroup, n factor for formula180.mml chart, a2 lower control limit, d3 upper control limit, d4 2 1.88 0 3.27 3 1.02 0 2.57 4 0.73 0 2.28 5 0.58 0 2.11 6 0.48 0 2.00 7 0.42 0.08 1.92 8 0.37 0.14 1.86 9 0.34 0.18 1.82 10 0.31 0.22 1.78 11 0.29 0.26 1.74 12 0.27 0.28 1.72 13 0.25 0.31 1.69 14 0.24 0.33 1.67 15 0.22 0.35 1.65 16 0.21 0.36 1.64 17 0.20 0.38 1.62 18 0.19 0.39 1.61 19 0.19 0.40 1.60 20 0.18 0.41 1.59
a. using factors from above table, determine upper and lower control limits for mean and range charts. (round your intermediate calculations and final answers to 2 decimal places. leave no cells blank - be certain to enter "0" wherever required.) mean chart range chart ucl 81.06 4.01 lcl 78.86 0.00 g
The UCL and LCL for the mean and range charts are calculated based on the average and range of the data sets. The table provided in the question provides respective factors for various subgroup sizes. For n=5, the factors are A2=0.58, D3=0 and D4=2.11. Using these we compute UCL and LCL for both charts. Round off to two decimal places and fill '0' in any empty cells.
Explanation:To find the Upper Control Limit (UCL) and Lower Control Limit (LCL) for the mean and range charts, we have to use the r and formula179.mml charts that are provided in your question. We will take the observations in groups of five as mentioned in the question.
Firstly, calculate the average (X-bar) for each of these groups and find the overall average (M) of these five averages.Please find the range (R) for each subgroup and then the average of these ranges (meanR).Referring to the table given in your question, for n=5, the factors are A2=0.58, D3=0 and D4=2.11.The UCL and LCL for the mean chart can be calculated using UCL=M+A2*meanR and LCL=M-A2*meanR, whereas, for the range chart, they are UCL=D4*meanR and LCL=D3*meanRUsing these steps, you can find the upper and lower control limits for both the mean and range charts. Always remember to round off your answers to two decimal places and also, to avoid leaving any cells blank in the excel sheet. If required, fill in '0' in those empty cells. This way, meaningful interpretation of the control charts can be made.
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The upper and lower control limits for the mean chart are 81.06 and 78.86, respectively, while the upper control limit for the range chart is 8.45 and the lower control limit is 0.
To determine the upper and lower control limits for the mean and range charts, we can use the factors provided in the table.
For the mean chart:
- The upper control limit (UCL) is calculated by adding the product of the factor for the mean chart (A2) and the average range (R-bar) to the overall average (X-double-bar). In this case, the A2 factor is 0.73 and the R-bar is 4.01, so the UCL for the mean chart is: 81.06 (rounded to 2 decimal places).
- The lower control limit (LCL) is calculated by subtracting the product of the factor for the mean chart (A2) and the average range (R-bar) from the overall average (X-double-bar). Using the same values, the LCL for the mean chart is: 78.86 (rounded to 2 decimal places).
For the range chart:
- The UCL for the range chart is calculated by multiplying the factor for the range chart (D4) by the average range (R-bar). In this case, the D4 factor is 2.11 and the R-bar is 4.01, so the UCL for the range chart is: 8.45 (rounded to 2 decimal places).
- The LCL for the range chart is always 0 since range values cannot be negative.
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Suppose 4 mg of a drug is injected into a person's bloodstream. As the drug is metabolized, the quantity diminishes at the continuous rate of 3% per hour?
Write this in Interval Notation:
4x - 6 ≥ 6x - 20
the sum of partial products is equal to the final product?
You have a photo that measures 1 in. wide by 3 in. tall. If you want to enlarge the photo so that the height is 18 in., what will the width of the photo be?
A. 98 in.
B. 4 in.
C. 6 in.
D. 108 in.
The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. the probability of a player weighing more than 241.25 pounds is
To find the probability of a football player weighing more than 241.25 pounds, calculate the z-score and use the standard normal distribution table.
Explanation:To find the probability of a football player weighing more than 241.25 pounds, we need to calculate the z-score and then use the standard normal distribution table.
The formula for calculating the z-score is: z = (x - μ) / σ where x is the player's weight, μ is the mean weight, and σ is the standard deviation.
Plugging in the values, we get: z = (241.25 - 200) / 25 = 1.65
Using the standard normal distribution table, we can find that the probability of a value being greater than 1.65 is approximately 0.0495.
Solve for Z. Z−4/9−1/3=5/9 Enter your answer in the box. Z=
NEED HELP FAST WILL GIVE BRAINLIEST 15 POINTS
Answer:
The answer correct answer is, 4/3
Step-by-step explanation:
I am reveiwing this quiz right now!
You have 3/8 of a cake. You divide the remaining cake into six equal pieces. What fraction of the original cake is each piece?
Which equation is equivalent to 1 5/6 - 2/6 = 1 3/6
There are 56 trees in an apple orchard. They are arranged in equal rows. There are 8 trees in each row. How many rows of apple trees are there? Which equation can be used to solve this problem?
Final answer:
In this case, there are 56 trees in the orchard and 8 trees in each row, so there are 7 rows of apple trees in the orchard.
Explanation:
To find the number of rows of apple trees in the orchard, we need to divide the total number of trees by the number of trees in each row.
In this case, there are 56 trees in the orchard and 8 trees in each row.
We can use the equation:
Number of rows = Total number of trees / Number of trees in each row
Plugging in the values:
Number of rows = 56 trees / 8 trees = 7 rows
Therefore, there are 7 rows of apple trees in the orchard.
How do I multiply 8.354 by 11.81?
all quadrilaterals are polygons
a number is less than 200 and greater than 100 the ones digit is 5 less than 10.the tens digit is 2 more than the ones digit.what is the number
The correct number is between 100 and 200 would be 175.
Used the concept of number system which states that,
A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.
Given that,
A number is less than 200 and greater than 100.
Here, the one's digit is 5 less than 10, and the tens digit is 2 more than the one digit.
Since the one's digit is 5 less than 10.
So, the number in one's place is,
10 - 5 = 5
And, the tens digit is 2 more than the one digit.
5 + 2 = 7
Since the number is between 100 and 200.
So, the possible value of a number with the value in one's place 5 and the value in tens place 7 would be,
175
Clearly, the number 175 is between 100 and 200.
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a box of cereal contains 23.4 ounces. It cost $5.49. What is the cost,to the nearest cent, of the cereal per ounce.
One root of is x = 6. What are all the factors of the function? Use the Remainder Theorem.
Answer:
C. (x - 6)(x + 4)(x - 2)
Step-by-step explanation:
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Jim Abbott purchased a $58,000 recreational vehicle (RV) with a 45 percent markup on selling price. a. What was the amount of the dealer’s markup? Markup amount $ b. What was the dealer’s original cost? Original cost $
The dealer's markup amount is $26,100 and the original cost of the RV is $31,900.
Explanation:To determine the dealer's markup, we need to find 45% of the selling price of the RV. We can set up the following equation:
Markup amount = Selling price × Markup percentage
Let's plug in the given values: $58,000 × 45% = $26,100
The dealer's original cost can be found by subtracting the markup amount from the selling price:
Original cost = Selling price - Markup amount
Let's calculate it: $58,000 - $26,100 = $31,900
The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly employees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours. Sun. Mon. Tues. Wed. Thurs. Fri. Sat. 0 10 8 8 7 6.5 4.5 Which of the payment options would you recommend to a new employee? a. Either one. Hourly and salaried employees earn the same amount per week. b. Hourly pay. Hourly employees make more per week than salaried employees. c. Salaried pay. Salaried employees make more per week than hourly employees. d. There is not enough information given to compare weekly earnings.
Answer:
C should be the correct option
Step-by-step explanation:
Tell me if im wrong :)
Your mid-morning break begins at 10:30 A.M. and lasts for 15 minutes. You work 2 hours and 50 minutes until your lunch break. What time does your lunch break begin?
Final answer:
The lunch break begins at 1:20 P.M. after working for 2 hours and 50 minutes from the mid-morning break at 10:30 A.M.
Explanation:
The mid-morning break begins at 10:30 A.M. and lasts for 15 minutes.
You work 2 hours and 50 minutes from 10:30 A.M.
To find the start time of your lunch break, add 2 hours and 50 minutes to 10:30 A.M.
Lunch break begins at 1:20 P.M.
is 1 1/3 a unit rate
To graph the inequality t > 5, you would put an open circle on 5 and shade to the right. true or false
Jacob used 1/7 of a liter of water to fill 1/9 of the fish aquarium. How many liters r needed to fill the aquarium?
Since 1/7 L of water fills 1/9 of the aquarium, 9 times 1/7 will fill the aquarium:
9(1/7) = 9/7 = 1 2/7 L of water will fill the aquarium.
Find the least common multiple (LCM) of 54 and 72. A) 9 B) 27 C) 108 D) 216