Least to Greatest
-14, -8, -7, -2, 4, 17
What is a real value of x?
Answer:
X is a variable, the value depends on the equation
The number of students that study spanish is 3^3 or 27 times the number that speak french
Answer:
the number of student speak french is 729
Step-by-step explanation:
Berkeley Bowl Cherry Tomatoes (for Q6-7) Berkeley Bowl sells cherry tomatoes to local fast food restaurants. The diameter of a tomato is on average 26 mm, with a standard deviation of 3 mm. The upper and lower specifications limits that they are given are, respectively, 32 mm and 20 mm. Q6. What percentage of their tomatoes are within the specification limits? Q7. What should the standard deviation of their process be for their process to be half of the Six Sigma Quality?
Q6: Approximately 68.3% of the cherry tomatoes sold by Berkeley Bowl fall within the specified diameter limits of 20 mm to 32 mm.
Q7: To achieve half of the Six Sigma Quality, the standard deviation of the process should be approximately 0.22 mm for Berkeley Bowl's cherry tomatoes.
In Q6, we can use the concept of the normal distribution to determine the percentage of tomatoes within the specification limits. Since the average diameter is 26 mm and the standard deviation is 3 mm, we can assume a normal distribution and calculate the percentage of tomatoes within one standard deviation of the mean. This corresponds to approximately 68.3% of the tomatoes falling within the specified limits.
In Q7, achieving Six Sigma Quality means that the process has a very low defect rate. In this case, half of the Six Sigma Quality means reducing the variability in diameter to half the acceptable range.
The acceptable range is 32 mm - 20 mm = 12 mm. To achieve half the range, the standard deviation should be approximately half of 12 mm, which is 6 mm. Since the standard deviation is given as 3 mm, the process would need to be improved to reduce the standard deviation to approximately 0.22 mm for it to meet half of the Six Sigma Quality.
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Amanda will run less then 33 miles this week. So far, she has run 21 miles. What are the possible numbers of additional miles she will run?Use t for the number of additional miles she will run. Write your answer as an inequality solved for t
Amanda has already run 21 miles, and it is stated that she will run less than 33 miles in total this week.
To determine the possible range of additional miles she will run, we can use the variable t to represent the number of additional miles.
The inequality can be written as 21 + t < 33, where t represents the additional miles Amanda will run. By solving this inequality for t, we can find the range of possible values for the number of additional miles.
Let t be the number of additional miles Amanda will run. We know that she has already run 21 miles, and it is stated that she will run less than 33 miles in total this week.
To express this information as an inequality, we write:
21 + t < 33.
To find the possible values for t, we can solve this inequality:
21 + t - 21 < 33 - 21,
t < 12.
Therefore, the inequality t < 12 represents the range of possible values for the number of additional miles Amanda will run. This means that she can run any number less than 12 miles to stay within the limit of running less than 33 miles in total.
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Can someone help me out
Answer:
60
Step-by-step explanation:
What is 35% of $2587
Answer:
905.45
Step-by-step explanation:
el treinta y cinco por ciento 35% de 2587 es: 905.45
Solve the equation: 2+3.8w=1.4-2.8w
Answer:
w= -11
Step-by-step explanation:
1. Subtract 2.8 from the right side and add it to the left side. Now you have 2+6.6=1.4.
2. Subtract 2 from the left side and add it to the right side. Now you have 6.6= -.6
3. Divide both sides by -.6. You will get -11=w
Complete the statements to find the measurements of La and Lb.
Answer:
see explanation
Step-by-step explanation:
∠ a and 150° are a linear pair and sum to 180° , then
∠ a + 150° = 180° ( subtract 150° from both sides )
∠ a = 30°
the sum of the 3 angles in a triangle = 180° , then
∠ b + ∠ a + 60° = 180° , that is
∠ b + 30° + 60° = 180°
∠ b + 90° = 180° ( subtract 90° from both sides )
∠ b = 90°
Jessica and her best friend found some money under the couch. they split the money evenly, each getting $16.32. how much money did they find?
Based on the fact that Jessica and her best friend split the money and were able to get $16.32, the total amount that they found was $32.64
How much did Jessica and her friend find?The fact that they split the money evenly means that they split it in half which each person getting the same amount.
This means that the total amount they found was twice the amount that Jessica and her best friend got.
The total amount found is therefore:
= Jessica's share + Best friend's share
= 16.32 + 16.32
= $32.64
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Help pls ? What kind of exponent does this graph have !
Answer:
I think the answer is odd. I am not sure because I don't know this topic really well.
Step-by-step explanation:
Jonathan’s math test scores were 87, 93, 85, 62, and 95. What was his mean score?
Answer:
Jonathan's mean score is:
(87+93+85+62+95)/5
=422/5
=84.4
At an animal shelter, there are 36 dogs and a number of cats. If 40% of the animals are cats, how many cats are at the animal shelter?
Answer:
14.4
Step-by-step explanation:
Define P(n) to be the assertion that:
n(n1)(2n 1)πΣε6j=1
(a)Verify that P(3) is true.
(b)Express P(k).
(c)Express P(k + 1).
(d)In an inductive proof that for every positive integer n,
=n(n+1)(2n 1)6j=1
what must be proven in the base case?
(e)In an inductive proof that for every positive integer n,п(п + 1)(2n + 1)6j=1
what must be proven in the inductive step?
(f)What would be the inductive hypothesis in the inductive step from your previous answer?
(g) Prove by induction that for any positive integer n,
п(п + 1)(2n + 1)j=1
The assertion that which shows that P(k + 1) is true provided Pk in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.
What is Integer?
A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.
Given that P(n) be the assertion
∑j² = n (n+1)(2n+1)/6
(a) For n = 3, we get
∑j² = 1² + 2²+3² =14
= 3(3+1)(6+1)/6
=14
Hence, P(3) is true.
(b) Expression for P(k) may take the form
∑j² = k (k+1)(2k+1)/6
(c) Expression for P(k + 1) may take the form
∑j² = (k+1) (k+2)(2k+3)/6
(d)Base case:
In base case, we must prove that P(1) is true.
(e) To prove P(n) will be true for every positive integer n, we need to prove that P(k + 1) is true in the inductive step, where k is a positive integer.
(f) In the Inductive step, the Inductive hypothesis is that Pk is true for positive integer k.
(g)Base case:
a) For n=1, we get
RHS= 1(1+1)(2+1)/6
=1
Hence, P(1) is true.
Inductive hypothesis:
Assume P(k) is true:
∑j² = k (k+1)(2k+1)/6
Inductive step:
Now,
∑j² = k (k+1)(2k+1)/6 +(K+1)²
which shows that P(k + 1) is true provided P(k) in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.
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Emma drew 11 hearts and 20 cycles.What is the ratio of circles to hearts in simplified form?
The ratio of a to be is expressed as a/b or a:b
Given that Emma drew 11 hearts and 20 cycles, the ratio of circles to hearts would be
20/11
Looking at the above ratio, there are no common factors. This means that it cannot be simplified further. Therefore, the ratio of circles to hearts in simplified form is
20/11
14. Thomas is building a fence around his
garden. He made a scale drawing as
shown below.
4 cm
2 cm
Scale
1 cm: 1.5 m
What is the perimeter of the actual fence?
13
Answer:
18 meters
Step-by-step explanation:
4 cm = 6m
2cm = 3m
6x3=18
Please <3 my Answer B )
Answer:
13
Step-by-step explanation:
4(a + b) when a = 2 and b = 4
Answer: 24
Step-by-step explanation:
a = 2, b = 4
4(a + b)
=> 4 (2 + 4)
=> 8 + 16
=> 24
Answer:
24
Step-by-step explanation:
Use distributive property:
4(a + b) = 4a + 4b
Then substitute the values in for the variables:
4(2) + 4(4) = 8 + 16 = 24
A bookstore sells 7 books for $89.25. Which table represents the relationship between number of books and the total price?
The table C represents the relationship between number of books and the total price.
Relationship:
The term "relation" in mathematics defines the relationship between two different sets of information. And the set of elements in the first set are called domain which is related to the set of the element in another set, which is called range.
Given,
A bookstore sells 7 books for $89.25.
Here we need to find the table that represents the relationship between number of books and the total price.
In order to find the price of the number of books, first we have to find the cost of one boo.
For that, we have to divide the amount by the total number of book, then we get the cost of one book.
That is the cost of 7 books is $89.25.
Therefore, the cost of one book is,
=> $89.25/7
=> $12.75.
Therefore, as per the given tables,
The cost of 8 books is 8 x 12.75 is $102
The cost of 9 books is 9 x 12.75 is $114.75
Therefore, the table C is the correct table that represents the relationship between number of books and the total price.
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PLS PLS HELP
a trapezoidal prism has a volume of 1260 cm^3. the height of the prism is 18 cm while the bases of the trapezoid are 12 cm and 8cm. Sketch the prism and find the height of the trapezoidal base
Answer:
7 cmStep-by-step explanation:
Volume of the prism is the product of its base area and height
V = AHV = 1260 cm³H = 18 cmFind base area:
A = 1260/18 = 70 cm²Area of the trapezoid:
A = 1/2(b₁ + b₂)hSubstitute given values and solve for h:
70 = 1/2(12 + 8)h70 = 10hh = 70/10h = 7 cmFind area of base
Volume/Height1260/1870cm²Now
Height of trapezoid base be x
1/2(12+8)x=7020x=140x=7cmNeed with reducing fractions you don’t have to show work just need the answers. PLEASE NEED ASAP
Step-by-step explanation:
You have to find a number that goes into both numbers and then divide. So for example question 25:
4 goes into 4 and 8
so the answer to 25 is 1/2
4/8 = 1/2
Can you help please?
Answer:
0
Step-by-step explanation:
-2/3a + 5/6a - 1/6
-2/3a + 5/6a = 1/6
1/6 - 1/6 = 0
A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. What is the probability you draw and eat an apple then draw an orange
Answer:
probability of choosing apple first = 8/14
probability of choosing orange second = 6/13
probability of choosing apple and orange = 8/14 x 6/13 = 24/91
Step-by-step explanation:
A bag contains 20 coloured marbles. Copy and
complete the table below to show the probability of
picking each colour at random and the number of
each colour marble in the bag. What is the
probability, as a percentage (%), of picking a purple
marble at random? How many purple marbles are in
the bag?
Colour
Yellow
Blue
Green
Purple
Probability
10%
15%
Number of marbles
6
In a survey of 1800 people who owned a certain type of car, 1260 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70%
Step-by-step explanation:
To find the percentage, we divide the number by the total.
The amount of people who said they'd buy it again is 1260, and the total is 1800.
1260/1800=0.7.
This means that 70% were satisfied with the car.
Answer:
70% you just take the amount of people that were satisfies divided by the overall amount of people. you'll get e decimal but just move the decimal place to get the percent.
Step-by-step explanation:
chi-square analysis can help us to decide whether __________.
Answer:
See below
Step-by-step explanation:
The chi-squared analysis aims to check whether observed frequencies in one or more categories match up with expected frequencies. I don't see any answer choices, but hopefully this short explanation will help!
Answer and will mark brainliest
Answer:
C
Step-by-step explanation: i did it
The line plot displays the cost of used books in dollars.
A horizontal line starting at 1 with tick marks every one unit up to 9. The line is labeled Cost in Dollars, and the graph is titled Cost of Used Books. There is one dot above 2, 4, 8, and 9.There are two dots above 6 and 7. There are three dots above 3.
Which measure of center is most appropriate to represent the data in the graph, and why?
The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.
The most appropriate measure of center to represent the data in the given line plot is the mode.
The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:
There is one dot above 2, 4, 8, and 9.
There are two dots above 6 and 7.
There are three dots above 3.
Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.
The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.
While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.
Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.
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Suppose a Hospitality Management student is picked at random. What is the probability that the student has not visited between 21 and 30 states
The probability that the student has not visited between 21 and 30 states is 0.4772 or approximately 48%.
Suppose a Hospitality Management student is picked at random.
We need to calculate the probability that the student has not visited between 21 and 30 states.
To calculate the probability, we can use the formula:
Probability = Number of favorable outcomes / Total number of possible outcomes
Let X be the number of states visited by the student.
Given that X follows a normal distribution with mean μ = 25 and standard deviation σ = 7.
So, the z-score for X = 21 and X = 30 can be calculated as follows:
z1 = (21 - 25) / 7 = -0.57,
z2 = (30 - 25) / 7 = 0.71
Now, we can find the probability of the student not visiting between 21 and 30 states using the standard normal distribution table:
P(21 < X < 30) = P(z < 0.71) - P(z < -0.57)= 0.7611 - 0.2839= 0.4772
Therefore, the probability that the student has not visited between 21 and 30 states is 0.4772 or approximately 48%.Note: The answer is 48% approximately.
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A car is traveling at a rate of 60 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 3 hours? In yourcomputations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
37.5 mile per hour
112.5 miles
Explanation:rate = 60km per hour
1 mile = 1.6 kilometer
Let's convert:
\(\frac{60\operatorname{km}}{1\text{ hour}}\times\frac{1\text{ mile}}{1.6\operatorname{km}}\)\(\begin{gathered} \frac{60\operatorname{km}}{1\text{ hour}}\times\frac{1\text{ mile}}{1.6\operatorname{km}}\text{ km cancels out, we are left with mile per hour} \\ \text{= }\frac{60\text{ mile}}{1.6\text{ hour}} \\ =\text{ 37.5mile per hour} \end{gathered}\)The car's rate in miles per hour is 37.5 mile per hour
In 1 hour, the car travels 37.5 mile
In 3 hours, the car will travel = 3 × 37.5miles
= 112.5 miles
In 3 hours, the car will travel 112.5 miles
Select the equation that represents the question. 120% of what number is 102? Responses 102=1.2×w102=1.2×w 1.2=102×w1.2=102×w 1.2=w×1021 point 2 is equal to w times 102 w=1.2×102
The equation of the statement is 1.2 × w = 102.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a percentage. Divide the number by the total and multiply by 100 to find the percent of a given number. Therefore, the percentage refers to a portion per hundred. Per 100 is what the word percentage signifies. The letter "%" stands for it.
Here let us take the number as w. Then,
=> 120% of number = 102
=> 120% of w = 102
=> 120% × w = 102
=> \(\frac{120}{100}\times\) w = 102
=> 1.2 × w = 102.
Hence the equation of the statement is 1.2 × w = 102.
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What is the constant term of -3x(4)-7x+2 ?
Answer:
trinomials term .........................
Answer:
2
Step-by-step explanation: