Answers
Answer:
5
Step-by-step explanation:
Related Questions
The product of two consecutive even integers is 2208. What is their sum?
Answers
Answer:
±94
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Solving Quadratic EquationsConsecutive IntegersStep-by-step explanation:
Step 1: Define
x (1st consecutive term)
x + 2 (2nd consecutive term)
Step 2: Set up equation
x(x + 2) = 2208
Step 3: Solve for x
Distribute x: x² + 2x = 2208Rewrite in Standard Form: x² + 2x - 2208 = 0Factor quadratic: (x - 46)(x + 48) = 0Find roots: x = -48, 46Step 4: Identify Consecutive Integers
Possibility 1: x = -48
1st Consecutive Even Term: -48
2nd Consecutive Even Term: -48 + 2 = -46
Possibility 2: x = 46
1st Consecutive Even Term: 46
2nd Consecutive Even Term: 46 + 2 = 48
Step 5: Find sums
Possibility 1: x = -48
-48 + -46 = -94
Possibility 2: x = 46
46 + 48 = 94
there are 25 student in a class. five of then scored A and 10 of them score B while the other scored C for Biostatistics. if a student is selected at random, calculate the probability that the selected student scored A or B in biostastics.
Answers
There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.
To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.
Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):
Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.
Therefore, the probability that a randomly selected student scored A or B
in Biostatistics is:
Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.
for more such questions on probability
https://brainly.com/question/25839839
#SPJ8
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
Answers
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
Learn more about probability at https://brainly.com/question/13604758
#SPJ1
The energy of a particle is 4.82 joules. If this particle loses 0.30 joule of energy every minute, what will its energy be after 6 minutes? *
A 4.67 joules
B 3.92 joules
C 3.02 joules
D 1.9 joules
Answers
Answer:
c
Step-by-step explanation:
0.30 x 6=1.8
1.8-4.82=3.02
Un trabajo puede ser realizado por 30 obreros durante 40 días. si el plazo para terminarlo es de 12 días, ¿cuántos obreros más se deben contratar?
Answers
To complete the job in 12 days, they need 100 workers.
How many works are needed?We know that 30 workes can complete 1 job in 40 days, then if each worker works at a rate R, then we can write:
30*R*40 days = 1 job
R = (1/1200) job/day
Then if they need to complete the job in 12 days, the number N of workers needed is:
N*(1/1200)*12 = 1
N = (1200/12) = 100
100 workers are needed.
Learn more about rate of work:
https://brainly.com/question/169382
#SPJ1
A druggist needs to prepare 100ml. of a 10% solution. She has available only a 5% and a
25% solution. How much of each should she use to prepare the desired solution?
Answers
Answer:
25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.
Step-by-step explanation:
Since the druggist has to prepare 100 ml of a 10% solution, but has only 5% and 25% solutions, to determine the proportion of each solution that he must use to prepare the solution with the desired percentage, it is necessary to perform the following calculation:
25 x 1 + 5 x 0 = 25
25 x 0.9 + 5 x 0.1 = 23
25 x 0.8 + 5 x 0.2 = 21
25 x 0.7 + 5 x 0.3 = 19
25 x 0.6 + 5 x 0.4 = 17
25 x 0.5 + 5 x 0.5 = 15
25 x 0.4 + 5 x 0.6 = 13
25 x 0.3 + 5 x 0.7 = 11
25 x 0.2 + 5 x 0.8 = 9
Therefore, the percentage that the druggist must use will be between 20% and 30% of the 25% solution, and between 70% and 80% of the 5% solution, that is:
25 x 0.25 + 5 x 0.75 = 10
Therefore, the druggist should use a 25% solution at 25%, and a 75% solution at 5%: Thus, since 100 x 0.25 is equal to 25, 25 milliliters of 25% solution and 75 milliliters of 5% solution should be used.
Please help me solve this fast!
Answers
Answer:
1) 7/8 8/7
2) 4.4
3) 3.7
4) 2.8
Step-by-step explanation:
Length of bottom side of Figure A: 8 cm
Length of bottom side of Figure B: 7 cm
From Figure A to Figure B, the scale factor is 7/8.
7/8
8/7
5 × 7/8 = 35/8 = 4.375
4.4
3.2 × 8/7 = 3.657...
3.7
3.2 × 7/8 = 2.8
2.8
Use the data set below to answer the following questions. 20 26 28 25 28 18 23 15 17 26 29 24 29 29 17 15 17 20 30 29 16 21 22 28 19
Approximately what percent of the data are greater than 28?
Approximately what percent of the data are less than 23?
Approximately what percent of data are greater than 17.5?
Approximately what percent of data are between 17.5 and 28?
Answers
Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.
To answer the questions, we can analyze the given data set.
First, let's count the number of data points that satisfy each condition:
Greater than 28:
There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).
Less than 23:
There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).
Greater than 17.5:
There are 22 data points greater than 17.5.
Between 17.5 and 28:
There are 15 data points between 17.5 and 28.
Now, let's calculate the approximate percentage for each condition:
Percent greater than 28:
The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.
Percentage =\((9 / 24) \times 100 = 37.5\)%.
Percent less than 23:
Approximately, 8 out of 24 data points are less than 23.
Percentage = \((8 / 24) \times 100 = 33.3\)%.
Percent greater than 17.5:
Approximately, 22 out of 24 data points are greater than 17.5.
Percentage = \((22 / 24) \times 100 = 91.7\)%.
Percent between 17.5 and 28:
Approximately, 15 out of 24 data points are between 17.5 and 28.
Percentage = \((15 / 24) \times 100 = 62.5\)%.
For more such questions on data
https://brainly.com/question/30459199
#SPJ8
On the SAT exam a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator. A guidance counselor would like to know if the students in his school are prepared to complete this portion of the exam in the timeframe allotted. To investigate, the counselor selects a random sample of 35 students and administers this portion of the test. The students are instructed to turn in their test as soon as they have completed the questions. The mean amount of time taken by the students is 23.5 minutes with a standard deviation of 4.8 minutes. The counselor would like to know if the data provide convincing evidence that the true mean amount of time needed for all students of this school to complete this portion of the test is less than 25 minutes and therefore tests the hypotheses H0: μ = 25 versus Ha: μ < 25, where μ = the true mean amount of time needed by students at this school to complete this portion of the exam. The conditions for inference are met. What are the appropriate test statistic and P-value?
Answers
The P-value is between 0.025 and 0.05. and t = -1.85
On the SAT exam a total of 25 minutes is allotted for students to answer 20 math questions without the use of a calculator.
Therefore tests the hypotheses:
\(H_0\) : μ = 25 versus Ha: μ < 25,
where μ = the true mean amount of time needed by students at this school to complete this portion of the exam.
The alternative hypothesis is:
\(H_1:\mu < 25\)
The test statistic is given by:
\(t=\frac{x-\mu}{\frac{s}{\sqrt{n} } }\)
The parameters are:
'x' is the sample mean. \(\mu\) is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.the values of the parameters are:
x = 23.5 , \(\mu=25\) , s = 4.8, n = 35
Plug all the values in above formula of t- statistic is:
\(t = \frac{23.5-25}{\frac{4.8}{\sqrt{35} } }\)
t = -1.85
Using a t-distribution , with a left-tailed test, as we are testing if the mean is less than a value and 35 - 1 = 34 df, the p-value is of 0.0365.
t = –1.85; the P-value is between 0.025 and 0.05.
Learn more about t-distribution at:
https://brainly.com/question/13574945
#SPJ1
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. He believes that the mean income is $23.7, and the standard deviation is known to be $9.1. How large of a sample would be required in order to estimate the mean per capita income at the 98% level of confidence with an error of at most $0.44
Answers
Answer:1442
Step-by-step explanation:
Given,
Mean is,
Standard deviation,
,
Margin of error(E) = 0.54,
For 98% level of confidence,
Thus, the sample size would be,
244-33456/3456*345+13.55-2=
Answers
The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:
244 - (33456 / 3456) * 345 + 13.55 - 2
= 244 - 97.02 * 345 + 13.55 - 2
= 244 - 33494.1 + 13.55 - 2
= -33238.55
Therefore, 244-33456/3456*345+13.55-2 = -33238.55.
Find the distance of GF if G(9,1) and F (0,2)
Answers
Answer:
9.06 units
Step-by-step explanation:
The distance formula for points on a graph is basically the Pythagorean Theorem
√(x2 - x1)² + (y2 - y1)²
Plug in the values and you'll get √82, which equals about 9.05539, or 9.06
ng
he
34. The dimensions of Dawn's porch are shown.
Dawn's Porch
6 feet
A
B
6 feet
A. 32
2 feet
11 feet
What is the area, in square feet, of Dawn's porch?
B. 42
2 feet
C. 46
D. 50
Answers
Answer:
\(the \: answer \: for \: the \: question \: is \: 50\)
A spinner is divided into 12 equal sectors labeled with the letters A through L The spinner is spun 80 times.
How many times is it expected that a vowel will be spun?
——
A.) approximately 20 times
B.) approximately 25 times
C.) approximately 36 times
D.) approximately 40 times
Answers
Answer:
c
Step-by-step explanation:
the answer to this quistion is becasue 36 is an propile number
2.
Write an equation for the translation of y = |x|.
10.5 units left
A. y = |x – 10.5|
B. y = |x| + 10.5
C. y = |x| – 10.5
D. y = |x + 10.5|
Answers
Answer:
D. y = |x + 10.5|
Step-by-step explanation:
I got this answer correct
Which of the following is a statistical question that can result in numerical data? What is your favorite television show that you watched this week? What is the name of the doctor at Healthy Kids Pediatrics? How many students at your school have a skateboard? What store in the mall are you most likely to purchase apparel from?
Answers
Answer:
All of the above, except for 'What is the name of the doctor at Healthy Kids Pediatrics?'
Step-by-step explanation:
What is your favorite television show that you watched this week? - If we define your favourite show as that which you watched most, you could gather data here on time spent watching each show to determine the answer
What store in the mall are you most likely to purchase apparel from? - Similar to before, data on your previous trips to the mall could be gathered to determine which stores you have been to the most often, and using this make a prediction of the most likely you are to purchase apparel from
How many students at your school have a skateboard? - Here data could be gathered by asking which students have a skateboard and which do not
What is the name of the doctor at Healthy Kids Pediatrics? - This question only has an answer, and it would be the name of the doctor
Answer:
How many students at your school have a skateboard?
Step-by-step explanation:
Since it is asking multiple people it can result in data. It can't result in data if it asks just one question to someone
Find the missing angle measure of the triangle.
Answers
Answer:
58
Step-by-step explanation:
65 + 57 = 122
A triangle is 180 degrees
180 - 122 = 58
58 is the missing measurement
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work
Answers
Answer:
x + 8 = 96, x - 4 = 84, 2x - 78 = 98
Step-by-step explanation:
See attached image.
All the angles are inscribed angles, so the measure of each one is 1/2 the measure of its intercepted arc.
Angle C intercepts arc BED. Angle E intercepts arc BCD. Those two arcs cover the entire circle. That means the measures of the arcs add up to 360.
\(m\angle C + m\angle E =\frac{1}{2} m\text{ arc BED }+\frac{1}{2|}m\text{arc BCD} =\frac{1}{2}(360) =180 \\\\(x-4)+(x+8)=180 \\\\2x+4=180 \\\\2x=176 \\\\x=88\)
Substitute 88 for x in the expressions for the angle measures.
Answer:
x + 8 = 96, x - 4 = 84, 2x - 78 = 98
Step-by-step explanation:
I did the test
Hope this helps :)
A cake recipe calls for 2 1/2 cups of flour. If Mrs. Hizon will prepare for 4 2/3 servings of the recipe, how much flour will she need?
Answers
let x be the flour
now
or,(21/2)+x=42/3
or,(21+2x)/2=42/3
or, 3(21+2x)=42×2
or, 63+6x=84
or,6x=84-63
or, 6x =21
or, x=21/6
thus she need 21/6 cups of flour
Find the greatest number that gives 600000 when rounded to the nearest thousand
Answers
Answer:
599, 123.72 but am not really sure from that answer
Answer:
599,000
Hope this is also a correct answer...
I need heeeeelllllllp
Answers
Answer:
It is exponential
Step-by-step explanation:
This is because there is an exponent
Answer: I need points don’t read
Step-by-step explanation:
Can sumone help me wit this
Answers
Answer:
1/9 i think not sure
Step-by-step explanation:
Answer:
1/9
Step-by-step explanation:
Well the chance of picking 3 one time is 1/3
The chance of picking 3 the second time is 1/3
So at first, we've succeeded with probability 1/3 and failed with probability 2/3
We don't care what happens next if we've failed - we already failed.
So we've reached the "picking the second card with hope in our hearts" 1/3 of the time and we again succeed with 1/3 of a chance, so the total probability of success is 1/3 * 1/3 = 1/9
Think of the options:
3 and 3 - probability 1/3 * 1/3 = 1/9
3 and non-3 - probability 1/3 * 2/3 = 2/9
non-3 and 3 - probability 2/3 * 1/3 = 2/9
non-3 and non-3 - probability 2/3 * 2/3 = 4/9
Note that all the options sum to 1 - as probabilities of all options always should.
PLEASE TELL ME DONT MIND ME TRYING TO ANSWER JUST PLEASEE
Answers
Answer:
18 hours. For 1 hour you packed 10 boxes.
Step-by-step explanation:
For the following situation make an input- output table
The nearby amusement park charges $15 for admission, which includes 5 rides.
After 5 rides, each extra ride costs $1.50. The input, r, is the number of rides you
take. The output, c, is the total cost for the day at the amusement park. Let r = 0, r
3, 5, 6, 10, and 15 rides.
Answers
The input- output table for the total cost of the amusement park charges is made.
What is defined as the linear equation?A linear equation is just an algebraic expression of a form y=mx+b, according to Wolfram MathWorld involving just a constant and a first-order (linear) term, for which m represents the slope and b represents the y-intercept. The above is sometimes referred to as a "linear equation of two variables," in which y and x are the variables.For the given question;
The admission charge of the amusement park = $15 (including 5 rides).
For extra rides $1.50 per ride.
Let r be the total rides.
Let n be the extra rides above 5 rides.
Let C be the total cost of the ride.
Then, the liner equation forming the condition is;
C = 1.5n + 15.
For n = 1, 2 , 3...
The value of C will be determined.
Thus, the input- output table for the total cost of the amusement park charges is made.
To know more about the linear equation, here
https://brainly.com/question/2030026
#SPJ13
Solve for h
6.51 - 9.32 + h = 1.02
Can someone please explain step by step on how I could get this answer for this question?
Answers
Answer:
h=3.83
Step-by-step explanation:
6.51 - 9.32 + h = 1.02 --> first, subtract: 6.51 - 9.32
-2.81+h=1.02 --> add 2.81 to both sides
h=3.83 --> answer
And object has a density of 1.2 g/ cm3, what will the object do in water?
Science
Answers
Based on a sample of 150 textbooks at the store, you find an average of 70.69 and a standard deviation of 29.6. The point estimate is: Incorrect (to 3 decimals) The 99 % confidence interval (use z*) is:______
Answers
Answer:
Step-by-step explanation:
Given that:
The sample size = 150
The sample mean = 70.69
The standard deviation = 29.60
The sample mean is equal to the point estimate of the population = 70.69
At 99% confidence interval level is:
∝ = 1 - 0.99
∝ = 0.01
The critical value:
\(Z_{\alpha/2} = Z_{0.01/2} \\ \\ Z_{0.005} = 2.58 \ using \ Z \ tables\)
The Margin of error = \(Z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}\)
\(= 2.58 \times \dfrac{29.6}{\sqrt{150}}\)
= 2.58 × 2.4168
≅ 6.235
At 99% confidence interval; the estimate of the population mean lies within the interval:
= \(\overline x - E < \mu \ < \overline x + E\)
= 70.69 - 6.235 < μ < 70.69 + 6.235
= 64.455 < μ < 76.925
= (64.455 , 76.925 )
Pls can someone help me
Answers
This Is What I Came Up With
Q (-6.6), R (-6.0), S (0.0)
Math Is Not My Intended Purpose. If You Have Suggestions Or Comments Please Do Contact My Programmer On Discord
Distortion #0313
is (x-4) a factor of f(x)=x^3-2x^2+5x+1 explain your reasoning
Answers
Answer:
No.
Step-by-step explanation:
It's simpler than you might expect.
If \((x - 4)\) is a factor, then it means that it the function \(f(x) = x^3 - 2x^2 + 5x + 1\) can have \((x - 4)\) factorised out.
This means that we can say \((x - 4) = 0\)
Therefore \(x = 4\)
If we put \(x = 4\) into the equation:
\(f(4) = (4)^3 - 2(4)^2 + 5(4) + 1\\= 64 - 32 + 20 + 1\\= 53\)
We didn't get 0, therefore it isn't a factor!
simplify 8+3{x-2[x+5(x3)]}
Answers
the correct answer is negitive one hundred eighty (-180)