12.985 rounded to 2 decimal places is 12.99
Answer:
Step-by-step explanation:
Step 1:
Identify the digit in the hundredths place, as it is the 2nd decimal place. The 8 is the digit in the hundredths place.
Step 2:
Look at the digit in the thousandths place and its value is 5 thousandths, so increase the digit in the hundredth's place to 9.
Step 3:
The new number is 12.99 rounded to the 2nd decimal place.
There are 49 dogs signed up for a dog show. There are 36 more small dogs than large dogs. How many small dogs have signed up to compete?
Answer:
85 dogs have signed up to compete
Step-by-step explanation:
its 85 small dogs because 49+36=85
Write an equation that best describes the pattern in the table
а
a
1
0 1
2
1
1
24-
58
2
2
b
0
3
4.
9
10 17
Answer:
not sure about the equation or answer
The average transaction at an automatic teller can be completed in six minutes and customers arrive at the average rate of one every ten minutes. On average, how many customers are there in the queue? a. 0.375 Customers b. 0.900 Customers c. 1.160 Customers d. 4.000 Customers
Answer:
Zero, based on the information provided.
Step-by-step explanation:
The output rate of the teller machine is (1 transaction/6 minutes). The input rate is (1 customer/10 minutes). This means that the machine completes a cycle faster than the customers arrive, on the average. I don't know how an average can be calculated without more information. If we assume customers arrive every 10 minutes, and no one screws up the machine, that there should be no waiting line. Is there more information about when the customers arrive? E.g., 50 arrive in the first hour the machine is open.
If the average transaction at an automatic teller can be completed in six minutes and customers arrive at the average rate of one every ten minutes. The average number of customers in the queue is: B. 0.900 customers.
What is the average number?M represent Markovian (memoryless) arrivals and service times
1 represents a single server.
Arrival rate (λ) is 1 customer every 10 minutes and the service rate (μ) is 1 customer every 6 minutes.
The formula to determine the average number of customers in the queue (Lq) is:
Lq = (λ^2) / (μ * (μ - λ))
Plugging in the values:
λ = 1/10
μ = 1/6
Lq = ((1/10)^2) / ((1/6) * ((1/6) - (1/10)))
Lq = (1/100) / ((1/6) * (10 - 6)/60))
Lq = (1/100) / ((1/6) * (4/60))
Lq = (1/100) / ((1/6) * (1/15))
Lq = (1/100) / (1/90)
Lq = (1/100) * (90/1)
Lq = 90/100
Lq = 0.9
Therefore, the correct option is B.
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#SPJ3
2 pounds of zucchini for 4 servings
Answer:
One pound of zucchini equals about 4 cups grated zucchini;
Step-by-step explanation:
2 cups of salted and squeezed zucchini; about 1 cup mashed zucchini; and 3 cups chunked zucchini.
Although the numbers are not included on either axis, it is possible to determine from shape and location that the equation y = -1.2x+4 corresponds to graph
It looks like your question is incomplete. I believe you also have options to pick which graph is correct. However, I can still give you the information you are looking for.
The slope of the line is -1.2
The Y-intersect is (0, 4)
I have also attached an image of what the graph would look like.
Hope this helps.
Probability and statistics
Probability and statistics are two branches of mathematics that are used to calculate the possibility of occurrence of an event or trend of data.
What is probability?Probability is a term to refer to the science that studies the measurement of the certainty of occurrence of an event. Generally, the probability of occurrence is associated with a value between 0 and 1, where an impossible event corresponds to zero and a certain event corresponds to one.
What is statistics?Statistics is a term to refer to a branch of mathematics that studies different phenomena related to data such as:
VariabilityCollectionOrganizationAnalysisInterpretationPresentationAnother outstanding aspect of statistics is that it is a formal deductive science framed in the formal scientific method.
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Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer:
look at the picture i have attached and tell me what you think???
Step-by-step explanation:
parallel is two lines that go like this \\ or like this =
perpendicular is two lines that go like this +
which is it?
Answer:
they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2
Zoe planted a walnut tree. Every week, she measures the tree and records its
growth. On the first week, the tree was 27 1/2 inches tall. On the second week, it was
29 1/4 inches tall. On the third week, it was 31 1/3 inches tall. How much did the tree
grow from the first week until it was measured on the third week? Show your work.
The tree grew about 3.83 inches between the first and third week.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
On the first week, the tree was 27 1/2 inches (27.5) tall. On the second week, it was 29 1/4 inches (29.25) tall. On the third week, it was 31 1/3 inches (31.33) tall.
The length grown = 31.33 - 17.5 = 3.83 inches
The tree grew about 3.83 inches between the first and third week.
Find out more on equation at: https://brainly.com/question/2972832
Find LCD in number 16 and multiply all numerators by it to clear the fractions
The LCD of the given terms of expression will be x² - 4 since others can divide it.
How to find the LCDThe least common denominator is the smallest number or expression of all the common multiples of the denominators when 2 or more fractions or expressions are given.
Given the terms of the expressions
(x+2)(x-2) and (x^2 - 4)
Expand (x^2 - 4) using the difference of two square:
x² - 4 = x² - 2²
x² - 4 = (x+2)(x-2)
Based on the expansion, we can conclude that the LCD of the given terms of expression will be x² - 4
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WHEN THE WHOLE IS THE SAME, HOW MANY 8THS DOES IT TAKE TO EQUAL 1\4. DRAW A MODEL TO SHOW YOUR ANSWER.
Answer: 4
Step-by-step explanation:
4 times 2 is 8 if you make 4 eighths you will get 1/4 a
Solve the equation Enter your answer as an equation that shows the value of
the variable (like s = 2/3, or 4 = w).
8x - 2 = 70
Algebra 1 Answer Key. ITEM 98. Find the equation that is equivalent to the quadratic equation shown. x2 – 8x – 8 = 0. A. x(x – 4) = 32. B. (x – 8)2 = 64.
Help with this question pls
Answer:
Exact: [tex]4\sqrt{55}[/tex] m
Approximate: 29.7 m
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
[tex]9^2+b^2=(31\sqrt{5} )^2[/tex]
[tex]81+b^2=31^2(5)[/tex]
[tex]b^2=961-81[/tex]
[tex]b=\sqrt{880} =4\sqrt{55}[/tex]
[tex]4\sqrt{55}[/tex] ≈ 29.7 m
Hope this helps!
A guest walks in and needs a room for the night. The rack rate for rooms is 15% higher than the average rate of $165 per night. What rate will the walk-in guest pay for the night?
The rate which the walk-in guest is how fast a guest needs a room
The rate which the walk-in guest pay for the night is $189.75
How to determine the rate?The given parameters are:
Average rate = $165 per night
The walk-in guest is 15% greater than the average rate.
So, the rate of the walk-in guest is:
Walk-in = 165 * (1 + 15%)
Evaluate the product
Walk-in = $189.75
Hence, the rate which the walk-in guest pay for the night is $189.75
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a) the cost of. kg oranges is rs 350 how many kg of oranges can be bought for rs 665
b.). A car travel for 50 km.with the help of 5 litres of petrol how many litres of petrol is reauired to travel 120 km
A: 1.9 Kilograms of oranges for rs 665.
B: 12 liters of petrol will make a car travel 120 km.
A culture started with 3000 becteria. after 8 hours it grew to 3300 becteria. Predict how many bacteria will be present after 12 hours. Round your answer to the nearest whole number. p=ae^kt
Answer: I think 5000
Step-by-step explanation:
I’m probably completely wrong lol sorry
The daily sleep duration among college students is normally distributed with a mean of 8.13 and standard deviation of 1.87. You want to use a sample size such that 95% of the averages fall within +/- 15 minutes (.25 of an hour) of the true mean of 8.13. Determine the smallest number of students you need to sample.
Using the z-distribution, as we have the standard deviation for the population, it is found that 215 students must be sampled.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the sample.The margin of error is:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The margin of error is of M = 0.25, with a population standard deviation of [tex]\sigma = 1.87[/tex], hence we solve for n to find the minimum sample size.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.25 = 1.96\frac{1.87}{\sqrt{n}}[/tex]
[tex]0.25\sqrt{n} = 1.96(1.87)[/tex]
[tex]\sqrt{n} = \frac{1.96(1.87)}{0.25}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(1.87)}{0.25}\right)^2[/tex]
[tex]n = 214.9[/tex]
Rounding up, 215 students must be sampled.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Which function is best represented by this graph? Brainliest
Answer:B
Step-by-step explanation:the slope is 1/4, and it crosses the y axis at -2.
Jessica sells 50.5 ounces of lemonade for a total of 20.20.
Find the unit price in dollars per ounce.
If necessary, round your answer to the nearest cent.
Answer:
2.5
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation: do it yourself jk lol first you add then divide by 6.5
3x²+5xy=–4
xy–2x=—3
[tex]solve simultinously[/tex]
[tex]xy - 2x = - 3[/tex]
[tex]xy = 2x - 3[/tex]
____________________________________________
[tex]3 {x}^{2} + 5xy + 4 = 0[/tex]
[tex]3 {x}^{2} + 5(2x - 3) + 4 = 0[/tex]
[tex]3 {x}^{2} + 10x - 15 + 4 = 0[/tex]
[tex]3 {x}^{2} + 10x - 11 = 0[/tex]
[tex]delta = {10}^{2} - 4(3)( - 11)[/tex]
[tex]delta = 100 + 132[/tex]
[tex]delta = 232[/tex]
Thus;
[tex]x = \frac{ - 10 + \sqrt{232} }{6} \: \: or \: \: x \frac{ - 10 - \sqrt{232} }{6} \\ [/tex]
[tex]x = \frac{ - 10 + 15.23}{6} \: \: or \: \: x = \frac{ - 10 - 15.23}{6} \\ [/tex]
[tex]x = \frac{5.23}{6} \: \: or \: \: x = \frac{ - 25.23}{6} \\ [/tex]
[tex]x = 0.8716 \: \: or \: \: x = - 4.205[/tex]
____________________________________________
If x = 0.8716 then :[tex]0.8716 \: y = 2(0.8716) - 3[/tex]
[tex]0.8716 \: y = 1.7432 - 3[/tex]
[tex]0.8716 y= - 1.2568[/tex]
[tex]y = \frac{ - 1.2568}{0.8716} \\ [/tex]
[tex]y = - 1.4419[/tex]
And if x = - 4.205 then :[tex] - 4.205 \: y = 2( - 4.205) - 3[/tex]
[tex] - 4.205 \: y = - 8.410 - 3[/tex]
[tex] - 4.205 \: y = - 11.410[/tex]
[tex]y = \frac{ - 11.410}{ - 4.205} \\ [/tex]
[tex]y = 2.7134[/tex]
And we're done
Have a great day ♡
(3/5)^2 + 4 x 3 - 2
Please help :)
Answer:
[tex]10 \frac{9}{25} [/tex]
Step-by-step explanation:
[tex] \bigg( \frac{3}{5} \bigg)^{2} + 4 \times 3 - 2 \\ \\ = \frac{9}{25} + 12 - 2 \\ \\ = \frac{9}{25} + 10 \\ \\ = \frac{9 + 10 \times 25}{25} \\ \\ = \frac{9 + 250}{25} \\ \\ = \frac{259}{25} \\ \\ = 10 \frac{9}{25} [/tex]
Riley tried the following homework question:
On July 1st, the billing date, Jenson's American Express credit card account had a balance of $375.80. The transactions during the
month of July were:
July 5 Payment made $150.00
July 10 Dinning
$74.35
July 18 Car repair
$123.50
July 28 Groceries
$142.50
The card has a low-interest rate of 1.3% per month. What is the balance due on August 1st?
The instruction hinted that "to find the balance due, you need to calculate the Average Daily Balance (ADB)."
So Riley made a running balance table and got ADB = 372.08, finance charge = 4.84, and Riley wasn't sure what to do next to answer
the final question "balance due on August 1st"? Please make a running balance table to show the ADB Riley got, and further explain
how to find the final balance on August 1st. What is the balance due on August 1st? Be specific with your answer.
Answer:
her balance aka ADB would be 372.08
this urgent pls
thank you
Answer:
x is less or equal to 30
the last Choice is correct.
Answer:
Last option D.
Step-by-step explanation:
IF it can be no more than 30, the 4th one says it can be equal to 30 or less than thirty.
I need help for this one.
Answer:
D. 48 feet
Step-by-step explanation:
Ladder (50 ft) = hypotenuse
Floor distance (14 ft) = b
Wall (unknown) = a
[tex]a^2+b^2=c^2[/tex]
[tex]a^2+14^2=50^2[/tex]
[tex]a^2+196=2500[/tex]
[tex]a^2=2500-196[/tex]
[tex]a=\sqrt{2304}[/tex]
[tex]a=48[/tex]
Hope this helps!
Answer:
48 feet
Step-by-step explanation:
Here,
c = 50 ft
b = 14 ft
To find : the height of the wall that the ladder reaches ( a ) = ?
Formula : -
a² + b² = c²
a² = c² - b²
= 50² - 14²
= ( 50 x 50 ) - ( 14 x 14 )
= 2500 - 196
= 2304
= 48 x 48
a² = 48²
a = 48 feet
solve this sum. ....
Given that points Q, R, S lies between O and P meaning that the points are between 0 and 3
OQ = QR = RS = SPDraw a number line and find three equal points
so points:
Q = 0.75R = 1.5S = 2.25Answer:
[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]
Step-by-step explanation:
Given information:
O = 0P = 3Points Q, R and S are between O and POQ = QR = RS = SPTherefore, there are 4 segments of equal distance between points O and P.
Length of OP = 3 - 0 = 3
⇒ Length of each segment = 3/4
To find the point of Q, R and S, add 3/4 to each point:
Point O = 0
⇒ Point Q = 0 + 3/4 = 3/4
⇒ Point R = 3/4 + 3/4 = 3/2
⇒ Point S = 3/2 + 3/4 = 9/4
Point P = 9/4 + 3/4 = 3
Therefore,
[tex]\sf Q=\dfrac34, \ R=\dfrac32, \ S=\dfrac94[/tex]
Elise is in a challenge with her gym class to run a total of 200 miles in one
school year. In the first month she ran 18 miles. If she wants to split the
remaining amount of miles over the
next seven months, how many miles will
she run each month?
Show your work.
PLEASEEE HELP QUICK :D
Answer:
Option a!
Step-by-step explanation:
inverse means opposite:
First part of the statement:
If I studied for it
(opposite)
If I did not study for it
Second:
I did well on the exam
(opposite)
I did not do well on the exam
Hope this makes sense.
- profparis
Which point on the number line best represents √10
Answer:
So it would be around 3.
Step-by-step explanation:
[tex]\sqrt{10}[/tex]= 3.16227766017
Find the sum of 458 and 342
Answer: 800
Step-by-step explanation:
Please answer this relatively quickly, I'm not in very much of a rush but would like to get this done.
Answer:
x=23
Step-by-step explanation:
2x-6/4 = 10
2x-6 = 10(4)
2x-6 = 40
2x = 40+6
2x = 46
x = 46/2
x = 23
10 1/5 • 4 1/4 • 2 not simplified please
51/5 × 17/4 ×2
=51/5 ×17/2
= 867/10