Answer:
3199
Step-by-step explanation:
3387 – 45 – 46 – 48 – 49 = 3199
Answer:
It is 48
Step-by-step explanation:
trust me I did the test.
A line has a rise of 4 and a run of 6, what is the slope?
3/2
1/2
2/3
Answer:
it's is 2/3
Step-by-step explanation:
100% it's c
Factor 36+21. Write your answer in the form a(b+c) where a is the GCF of 36 and 21.
Answer:
3(12 + 7)
Step-by-step explanation:
To find the GCF of 36 and 21, list out their factors.
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
21: 1, 3, 7, 21
The greatest factor which both numbers share is 3.
Therefore, you can factor 36 + 21 as 3(12 + 7)
A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected
from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli with mean weight of 15.26 grams and standard deviation of 2.56 grams. The margin of error (ME) to construct a 99% confidence interval for the true mean amount of cheese filling is
A) 2.064 B) 1.432 C) 3.745 D) 1.276 E) 1.797
b. A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected
from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli and measure the weight of cheese filling. They find the 99% confidence interval of 14.16 to 15.84 grams. Which of the following is the correct interpretation?
I. We are 99% confident that the mean weight of cheese filling in all ravioli made by this process is between 14.16 and 15.84 grams.
II. 99% of all ravioli made by this process will have cheese filling weights between 14.16 and 15.84 grams.
III.We are 99% confident that the interval (14.16, 15.84) contains the mean weight of cheese filling in all ravioli made by this process.
IV. The weight of cheese filling in the ravioli is between 14.16 and 15.84 grams 99% of the time.
A) I only
B) III only
C)I and III.
D) II and III
E) I and IV
Answer: a. B) 1.432
b. E) I and IV
Step-by-step explanation:
a. Margin of error to construct a 99% confidence interval is calculated as
\(ME=t.\frac{s}{\sqrt{n}}\)
where
t is the critical value expressed as t-score, which comes from t-distribution;
s is sample standard deviation
n is sample size
In this case, a t-score is used because the population standard deviation is unknown and the sample size is small, n < 30.
The way to find t-score is:
1) Define the degree of freedom, which is sample size minus 1: df = n - 1;
2) Compute alpha: \(\alpha=1-\frac{confidence}{100}\);
3) Find the critical probability: \(p=1-\frac{\alpha}{2}\)
With the df and critical probability, consulte the t-distribution table and find the score.
For the cheese filling:
df = 24
p = 0.995
t-score = 2.797
Calculating margin of error:
\(ME=2.797.\frac{2.56}{\sqrt{5}}\)
ME = 1.432
The margin of error to construct a 99% confidence interval for the true mean amount of cheese filling is 1.432.
b. Confidence interval is an interval in which we have a percentage of certainty that the true population mean is. For example, with a 99% confidence interval of 14.16 to 15.84 grams, we are 99% confident that the true mean weight of cheese filling is between those numbers or that the weight of cheese filling is between 14.16 and 15.84 grams 99% of the time.
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6
A cone has a volume of 2560 Pi cm cubed and a height of 30cm. Find the radius
A survey showed that 5 out of 6 students own a pet. Based on this result, how many of the 900 students in a school own a pet?
The ratio of the students who own a pet to the total number of students in the pet school is 5:6 ; Therefore, using this ratio, the number of students who own a pet out of the total students of 900 will be 750
If 5 of 6 students own a pet ;The Fraction of pet owners out of the students can be represented as a fraction = 5/6 Hence, 5/6 of the total students in the school owns a pet Total number of students in the school is given as = 900Total number of students who own a pet can be calculated thus : Total number of students × (fraction who own pets) 900 × (5/6) = 900 × 0.833333 = 750Therefore,a total of 750 students own a pet.
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et «be any integer. Round to me to three dec mal places we appropriate. If there is no solucion, erter solve the equalion by factor ng. Enter your answers as a comma - separates list. NO SOLUTION. )
Problem
Solution
For this case we can do the following:
\(\frac{1}{\cos\theta}\cdot\frac{\sin\theta}{\cos\theta}-\cos \theta\cdot\frac{\cos\theta}{\sin\theta}=\sin \theta\)\(\frac{\sin\theta}{cos^2\theta}-\frac{\cos^2\theta}{\sin\theta}=\sin \theta\)\(\frac{\sin^2\theta-\cos^2\theta\cos^2\theta}{\sin\theta\cos^2\theta}=\sin \theta\)then we can croos multiply:
\(\sin ^2\theta-\cos ^2\theta\cos ^2\theta=\sin ^2\theta\cos ^2\theta\)then we can redistribute the terms and we got:
\(\sin ^2\theta=\cos ^2\theta\cos ^2\theta+\sin ^2\theta\cos ^2\theta\)taking common factor cos^2 we got:
\(\sin ^2\theta=\cos ^2\theta(\cos ^2\theta+\sin ^2\theta)\)Since:
\(\sin ^2\theta+\cos ^2\theta=1\)We have:
\(\sin ^2\theta=\cos ^2\theta\)And thae answer for this case is:
\(\theta=\frac{\pi}{4}+\pi\text{ n}\)arrange the following list of functions in increasing order of growth rate. that is, if function g(n) follows function f (n), then it should be the case that f (n) is o(g(n)) (the base of logarithms is 2). justify in simple words. (you do not have to show detailed calculations.)
The correct order of functions, in increasing order of growth rate, is g1, g4, g3, g5, g2, g7, and g6.
What is functions?A mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Here,
The list of function is attached in image.
g1, g4, g3, g5, g2, g7, g6 is the correct sequence of functions in increasing order of growth rate.
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joan’s finishing time for the bolder boulder 10k race was 1.81 standard deviations faster than the women’s average for her age group. there were 410 women who ran in her age group. assuming a normal distribution, how many women ran faster than joan? (round down your answer to the nearest whole number.)
Can someone answer this just read the picture? Right answers only please!
The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.
What is temperature?Temperature is a unit of hotness and coldness that can be described in terms of any number of arbitrary scales. It also represents the direction wherein heat energy will naturally flow, from either a hotter (i.e., higher temperature) body to a colder body.
Temperature is not the same as the energy of such a thermodynamic system; for instance, an iceberg has a significantly larger total heat energy than a match, despite the fact that a match is burning at a significantly higher temperature. The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.
Therefore, the linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.
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w(t) = 3t – 1; t = 5
I don't need help but I am giving the answer to everyone :) hope it helps
The number of cannonballs in illustration is 506.
What is illustration?Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.
The number of cannonballs in the first layer = 1² = 1
Number of cannonballs in the second layer = 2² = 4
Number of cannonballs in the third layer = 3² = 9
So, the generalized formula to count the balls is given as
= n(n + 1) (2n + 1)/ 6
Here, n= the total number of layers
Put n =11
11(11 + 1)(2(11) + 1) / 6
= 11(12)(23)/6
= 3036/6
= 506
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Sarah spent 30 minutes practicing her spelling words. She spent 3 times as much time reading. How many minutes did Sarah spend reading?
Sarah spends reading 30 min + \(0.05 min^{2}\).
What is a mathematical expression?An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. To assist identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.
However, in modern mathematics, and particularly in computer algebra, formulae are considered expressions that may be evaluated as true or false based on the values assigned to the variables in the expressions.
The problem is in a mathematical expression.
30 min+3s min did Sarah spend reading
Convert s to min
.30min+3s min× 1min/60s
Cancel the common units and simplify.
Cross-cancel units.
30 min + \(0.05 min^{2}\)
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A website wants to detect if a visitor is a robot or a human. They give the visitor seven CAPTCHA tests that are hard for robots but easy for humans. If the visitor fails any of the tests, they are flagged as a robot. The probability that a human succeeds at a single test is 0.95, while a robot only succeeds with probability 0.3. Assume all tests are independent. The percentage of visitors on this website that are robots is 10%; all other visitors are human. (a) If a visitor is actually a robot, what is the probability they get flagged (the probability they fail at least one test)? -4- (b) If a visitor is actually a human, what is the probability they get flagged (the probability they fail at least one test)? (c) Suppose a visitor gets flagged. What is the probability that the visitor is a robot?
(a) The probability that a visitor will be flagged (i.e., fail at least one test) is 0.957 if they are genuinely a robot.
(b) If a visitor is genuinely a human, there is a 0.0068 probability that they will be marked (fail at least one test).
(c) Consider a visitor who is detected in (c). There is a 0.9 percent probability that the visitor is a robot.
This is due to the difference between the likelihood of a robot being flagged (0.957) and the likelihood of a human being flagged (0.0068). Therefore, the likelihood that a visitor who has been marked is a robot is 0.957 / (0.957 + 0.0068) = 0.9.
Probability is a measure of the possibility of an event occurring in probability theory. A number between 0 and 1, where 0 denotes impossibility and 1 denotes certainty, is used to express it. An occurrence is more likely to occur the higher its probability. When there is uncertainty about the result of random phenomena like coin tosses or dice rolls, probability is utilized to characterize those events. It is also used to describe more foreseeably occurring occurrences like the occurrence of an earthquake or the adoption of a particular law.
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Imani asked the students in her class to choose their favorite type of reading material. She presented the results of the survey in a bar graph.
A bar graph is titled Reading Material. A vertical bar labeled graphic novels has a height of 4. A vertical bar labeled historical fiction has a height of 5. A vertical bar labeled nonfiction has a height of 3. A vertical bar labeled poetry has a height of 2. A vertical bar labeled short stories has a height of 6.
Select the two statements that correctly interpret the bar graph.
A.
Twice as many students chose graphic novels than chose poetry.
B.
Half as many students chose graphic novels than chose short stories.
C.
More students prefer to read historical fiction than those who prefer to read short stories.
D.
There are 20 students in Imani’s class.
E.
The fewest students chose nonfiction.
please help
The statements that correctly interpret the bar graph are:
1. Twice as many students chose graphic novels than chose poetry.
2. There are 20 students in Imani’s class.
What is a bar graph?
Using bars or strips, a bar graph is a graphical depiction of information, amounts, or numbers. They are used to compare and contrast various data types, frequency distributions, or other metrics of various data categories.
We are given a survey report in form of bar graph showing the students's favorite type of reading material.
A. Twice as many students chose graphic novels than chose poetry.
This is correct because only 2 students chose poetry whereas 4 students chose graphic novels.
B. Half as many students chose graphic novels than chose short stories.
This is not correct because 6 students chose short stories whereas 4 students chose graphic novels.
C. More students prefer to read historical fiction than those who prefer to read short stories.
This is not correct because 6 students chose short stories whereas 5 students chose historical fiction.
D. There are 20 students in Imani’s class.
This is correct because sum of all the observations is 20.
E. The fewest students chose non fiction.
This is not correct because the fewest students chose poetry.
Hence, the first and the fifth statements are correct.
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t "To Do" list has four items: 1) Organize email folders 2) Create a schedule for next month 3) Help a coworker and 4) Answer a customer inquiry. Which item should you probably do first ? a) Answer a customer inquiry b) Organize email folders c) Help a coworker d) Create a schedule for next month
Answer:
I think A) Answer a customer inquiry
Step-by-step explanation:
Because customers come first
what is the value of m
The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°
What is angle subtended by an arcThe angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.
arc RS = 2(m∠RQS)
Also arc AD = 140°
2(m∠RQS) = 140°
m∠RQS = 140°/2 {divide through by 2}
m∠RQS = 70°
Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°
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if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
One shirt at H&M cost $7. what is the cost of 40 shirts
Answer:
$280
Step-by-step explanation:
7•40=$280
If you spent $2, or 1/4 of your money m. How much money did you have in the beginning?
Answer:
$8 to begin with
Step-by-step explanation:
2 x 4=8
Just pleasssssssssss help me.
3/14 2/7 1/2
Step-by-step explanation:
divide all of them seprately to get your decimal amount
What division problem does the model represent?
Divided by one-third
The quotient is .
Answer:
the real answer is
5/3
divided by 1/3
and the quotient is
5
this is the real answer
Step-by-step explanation:
From the diagram attached, the divison operation represented by the model is \(\frac{7}{4} \div \frac{1}{2} = 3 \frac{1}{2}\)
Each partition = 0.25 = 1/4 Number of shaded partitions = 7Number of partitions per rectangle = 4The Fraction of shaded partitions = 7(1/4) = 7/4
Half of each rectangle is circle = 1/2
Hence, the divison exemplified by the model is :
Fraction of shaded partition ÷ Circled portion
\(\frac{7}{4} \div \frac{1}{2}\)
Take the reciprocal of 1/2 and change sign to multiplication :
\(\frac{7}{4} \times \frac{2}{1} = 3 \frac{1}{2}\)
Therefore, the division problem represented by the model is \(\frac{7}{4} \div \frac{1}{2} = 3 \frac{1}{2}\)
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Is 2x - 3 = -7 x + 2 > y a true or false statement?
2 1/3 -6x + 4 1/3-3x
The answer is -9x + 6 2/3.
if y = 3/5x + 29 find the value of y when x= 12
Answer:
166/5 is the right answer
Step-by-step explanation:
y=3/5x+26 (given)
put the value of x=12
y=(3/5)×12+26
so y=(36+130)/5
How to do problem 17
find the 9th term of the geometric sequence. 12,36,108,...
The 9th term of the given sequence is 78732.
The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:
aₙ = a₁rⁿ⁻¹
Here, a₁ = 12 and r = 3.
Therefore, the formula for the nth term becomes:
aₙ = 12(3)ⁿ⁻¹
Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:
a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732
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9n^2 - 24 + 16
please help
Answer:
lol the answer is the second one
Help me with 11 please I’m crying Perform indicated operations
Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?
Answer:
Ximena can use 1 gigabytes of data
Step-by-step explanation:
The first thing you want to do is subtract
51.10 - 44.50 = 5.6
5.6 is the amount of money she will have to spend on data
With each gigabyte costing 4 dollars and only 5 dollars to spend
she can only use one gigabyte