Step-by-step explanation:
Numerical climate models use quantitative methods to simulate the interactions of the important drivers of climate, including atmosphere, oceans, land surface and ice. They are used for a variety of purposes from study of the dynamics of the climate system to projections of future climate.
Solve the equation 12v+10v+14=80
Answer:V=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
12v+10v+14=80
(12v+10v)+(14)=80
(Combine Like Terms)
22v+14=80
22v+14=80
Step 2: Subtract 14 from both sides.
22v+14−14=80−14
22v=66
Step 3: Divide both sides by 22.
22v/22=66/22
V=3
:)
is 18/3 an integer yes or no
The true statement is that: yes, 18/3 is an integer
How to determine the true statement?The number expression is given as:
18/3
We start by evaluating the quotient of 18 and 3.
So, we have:
18/3 = 6
Integers are numbers that do not have decimal points
The number 6 does not have a decimal point
Hence, the true statement is that: yes, 18/3 is an integer
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Diane plans to arrive 30 minutes early on Friday. What time does she plan to arrive?
*
7:00 A.M.
8:30 A.M.
8:00 A.M.
6:30 A.M.
7:30 A.M.
Diane plans to arrive at 7:30 A.M.
What is time ?
Time is a notion that is used to quantify the length and progression of occurrences. It is a key aspect of how things work and can be expressed in terms of hours, minutes, seconds, and other time intervals. Time helps us schedule, coordinate, and comprehend the sequence of events in our daily lives. It also enables us to arrange and synchronize activities.
If we take the assumed intended arrival time of 8:00 A.M. and deduct Diane's anticipated arrival time of 30 minutes, we get the intended arrival time.
Therefore, Diane plans to arrive at 7:30 A.M.
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IT DIVISION ITS NOT ADDING.
Rewrite the equation below so that it does not have fractions. 5+2/3x=3/4 Do not use decimals in your answer.
Answer:9
Step-by-step explanation:
Which data set could be represented by the box plot shown below? A horizontal boxplot is plotted along a horizontal axis marked from 10 to 26, in increments of 1. A left whisker extends from 12 to 15. The box extends from 15 to 21 and is divided into 2 parts by a vertical line segment at 19. The right whisker extends from 21 to 24. All values estimated. Choose 1 answer: Choose 1 answer: (Choice A) 13 1313, 15 1515, 15 1515, 17 1717, 19 1919, 19 1919, 20 2020, 22 2222, 24 2424 A 13 1313, 15 1515, 15 1515, 17 1717, 19 1919, 19 1919, 20 2020, 22 2222, 24 2424 (Choice B) 12 1212, 15 1515, 15 1515, 17 1717, 19 1919, 19 1919, 20 2020, 22 2222, 24 2424 B 12 1212, 15 1515, 15 1515, 17 1717, 19 1919, 19 1919, 20 2020, 22 2222, 24 2424 (Choice C) 12 1212, 15 1515, 15 1515, 17 1717, 20 2020, 20 2020, 20 2020, 22 2222, 24 2424 C 12 1212, 15 1515, 15 1515, 17 1717, 20 2020, 20 2020, 20 2020, 22 2222, 24 2424 (Choice D) 12 1212, 15 1515, 17 1717, 17 1717, 19 1919, 19 1919, 22 2222, 22 2222, 24 2424 D 12 1212, 15 1515, 17 1717, 17 1717, 19 1919, 19 1919, 22 2222, 22 2222, 24 2424
The dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.
What is box plot?A box plot, sometimes called a box whisker plot, shows the distribution of a dataset graphically. The minimum value, the first quartile (25th percentile), the median (50th percentile), the third quartile (75th percentile), and the maximum value are the five main values used to standardise this method of displaying the distribution of data.
Two whiskers that extend from a rectangular box make up a box plot. The range of values between the first and third quartiles is represented by the box, which is known as the interquartile range (IQR).
From the given box plot we observe that the minimum value is 12 and the maximum value is 24.
Here, the median is 19.
From the information the two data set that have the corresponding values are:
12, 15, 15, 17, 19, 19, 20, 22, 24
12, 15, 17, 17, 19, 19, 22, 22, 24
The lower quartile is 15.
The upper quartile is 21.
Calculating the lower quartile for the data sets:
12, 15, 15, 17, 19, 19, 20, 22, 24
Lower quartile = 15
Hence, the dataset represented by the given box plot is 12, 15, 15, 17, 19, 19, 20, 22, 24 option B.
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Peggy constructed the 95 percent confidence interval (4.8,5.2) to estimate the slope of a regression model for a set of bivariate data with 24 data values. Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same. Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used. Which statement is true about the claims made by Peggy and Quincy?
А. Peggy's claim is correct.
B. Quincy's claim is correct.
C. Both Peggy's claim and Quincy's claim are correct
D. Neither Peggy's claim nor Quincy's claim is correct.
E. There is not enough information to determine whether the claims are correct.
Answer:
B. Quincy's claim is correct.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
\(M = z\frac{s}{\sqrt{n}}\)
In which z is related to the confidence level, s is the standard error and n is the size of the sample.
From this interval, we have that the margin of error and the sample size are inversely proportional, that is, if we increase the sample size, the margin of error decreases, and so does the width of the confidence interval.
Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same.
Peggy is wrong, as the increase of the sample size results on the decrease of the margin of error, and a decrease of the width.
Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used.
Margin of error decreases, and so does the width of the interval, thus, Quincy's claim is correct, and the correct answer is given by option b.
Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°The two polygons are similar. solve for a
The value of a is given as follows:
a = 2.4.
What are similar polygons?Similar polygons are polygons that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.As the two polygons are similar for this problem, the proportional relationship for the lengths is given as follows:
3/5 = a/4 = (b - 6)/2.
Hence the value of a is obtained as follows:
3/5 = a/4
5a = 12
a = 12/5
a = 2.4.
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What’s the correct answer for this?
Answer:
D: <K = 35°
Step-by-step explanation:
<E = 55
<L = 90°
Now
<LKE = 180-90-55
<K = 35°
Answer:
\(\fbox{\begin{minipage}{8.8em}Option D is correct\end{minipage}}\)
Explanation:
Here, we state again the definition of inscribed angle in circle:
(1) An inscribed angle has the vertex on the circle and the sides are chords.
=> In the picture shown, angle ELK is inscribed angle with vertex L and LE and LK are chords.
(2)An inscribed angle also creates an intercepted arc whose endpoints are on the angle.
=> Inscribed angle ELK creates intercepted arc EK.
(3) According to the Inscribed Angle Theorem, the measure of intercepted arc is twice as the measure of its inscribed angle.
=> Angle ELK = (1/2) arc EK
Arc EK, whose EK is diameter, is equal to measure of half of circle, or 180 degree, in other words.
=> Angle ELK = (1/2) x 180 = 90 deg
(4) As the property of sum of 3 angles inside a triangle, this sum is equal to 180 degree.
=> Considering triangle ELK:
ELK + LEK + LKE = 180 deg
or
90 + 55 + LKE = 180 deg
or
LKE = 180 - 90 - 55 = 35 deg
Hope this helps!
:)
Mrs. Finch's first grade class was holding a used book sale. Some books were sold for $0.25 anc
others sold for $0.35. The first customer spent $3.15 for 11 books. How many $0.25 books and
$0.35 books did the customer buy?
Answer:
7, 4
Step-by-step explanation:
x = 25 cent books, y = 35 cent books
x + y = 11
.25x + .35y = 3.15 Multiply this to get the x to be the same, x4=
x + 1.4y = 12.6 Now subtract the first equation
-x + y = 11
.4y = 1.6
y = 4
11 - 4 = 7 x = 7
How many milliliters of 0.100 M NaOH is needed to titrate 20.0 mL of 0.100 M HNO3
?
The volume of the sodium hydroxide is 20 mL
What is the volume of the solution?
Titration is a laboratory technique used to determine the concentration of a substance in a solution by reacting it with a solution of known concentration. Titration is a versatile technique and can be used to determine the concentration of various substances, such as acids, bases, redox agents, and complex ions.
We know that the reaction is 1:1
Number of moles of acid = 20/1000 * 0.1
= 0.002 moles
Thus;
Number of moles = Concentration * volume
Volume = Number of moles/Concentration
Volume = 0.002 moles/ 0.100
Volume = 0.02 L or 20 mL
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solve for x
14.
21
x-3
27
x-1
Answer:
the person above is correct
Step-by-step explanation:
A sports news station wanted to know whether people who live in the North or the South are bigger sports fans. For its study, 175 randomly selected Southerners were surveyed and found to watch a mean of 3.8 hours of sports per week. In the North, 152 randomly selected people were surveyed and found to watch a mean of 4.8 hours of sports per week. Find a 95% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions if the South has a population standard deviation of 1.7 hours per week and the North has a population standard deviation of 1.2 hours per week. Let Population 1 be people who live in the South and Population 2 be people who live in the North. Round the endpoints of the interval to one decimal place, if necessary.
Using the z-distribution, it is found that the 95% confidence interval for the difference is (-1.3, -0.7).
What are the mean and the standard error for each sample?Considering the data given:
\(\mu_S = 3.8, n = 175, s_S = \frac{1.7}{\sqrt{175}} = 0.1285\)
\(\mu_N = 4.8, n = 152, s_N = \frac{1.2}{\sqrt{152}} = 0.0973\)
What is the mean and the standard error for the distribution of differences?The mean is the subtraction of the means, hence:
\(\overline{x} = \mu_S - \mu_N = 3.8 - 4.8 = -1\)
The standard error is the square root of the sum of the variances of each sample, hence:
\(s = \sqrt{s_S^2 + s_N^2} = \sqrt{0.1285^2 + 0.0973^2} = 0.1612\)
What is the confidence interval?It is given by:
\(\overline{x} \pm zs\)
We have a 95% confidence interval, hence the critical value is of z = 1.96.
Then, the bounds of the interval are given as follows:
\(\overline{x} - zs = -1 - 1.96(0.1612) = -1.3\)\(\overline{x} + zs = -1 + 1.96(0.1612) = -0.7\)More can be learned about the z-distribution at https://brainly.com/question/25890103
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6 minutes 20 seconds into seconds.
Answer:
380 seconds
Step-by-step explanation:
Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360
Now add the 20 seconds.
360 + 20 = 380
6 minutes and 20 seconds are equal to 380 seconds.
The following is the cost function for natural gas for the city where Greg lives. Greg's natural gas bill last month was $51.54. How many therms did Greg use last month? Round the answer to the nearest tenth of a therm (one decimal place). Only input the number. Do not input any unit. Example: 89.3
Kauro, this is the solution:
This is the cost function for natural gas for the city where Greg lives:
• c (t) = 16.74 + 0.742t
Now we replace c (t) by 51.54 to solve for t, as follows:
51.54 = 16.74 + 0.742t
Subtracting 16.74 at both sides:
51.54 - 16.74 = 16.74 + 0.742t - 16.74
34.8 = 0.742t
Dividing by 0.742 at both sides:
0.742t/0.742 = 34.8/0.742
t = 46.9 therms
The correct answer is 46.9
q = 5p + 3r
If p=6
And if r=-4
Work out the value of q.
Answer: q = 18
Step-by-step explanation:
q=5p+3r, p=6, r=-4
First, let's plug in the numbers that we do know
q=5(6) + 3(-4)
Second, we should be able to figure the equation now that it is in simplified form.
q = 30 + (-12)
q = 18
Answer:
18
Step-by-step explanation:
q=5p + 3r. when p=6 and r=-4
substitute p and r into the equation
q= 5{6} + 3{-4}
q= 30 + {-12}
"+ * - = -"
so..... 30 -12 = 18
q = 18
A population of rare birds in town is currently listed at 2,000. It is declining at a rate of 2% per year. How many birds will be left after 20 years? Round your answer to the nearest whole number.
A. 1,335 birds
B. 1,980 birds
C. 2,972 birds
D. 23 birds
Option(A) is the correct answer is A. 1,335 birds.
To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.
We can use the formula for exponential decay:
N = N₀ * (1 - r/100)^t
Where:
N is the final number of birds after t years
N₀ is the initial number of birds (2,000 in this case)
r is the annual decline rate (2% or 0.02)
t is the number of years (20 in this case)
Plugging in the values, we get:
N = 2,000 * (1 - 0.02)^20
N = 2,000 * (0.98)^20
N ≈ 2,000 * 0.672749
N ≈ 1,345.498
Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.
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what's the inverse of f(x)=(x+3)^5
Answer:
The inverse is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x) = (x+3)^5
Finding the inverse,
\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)
We replace x with y and vice versa
so,
\(x = (y+3)^5\)
Solving for y,
the the 5th root,
\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)
hence the inverse function is,
\(f^{-1}(x) = \sqrt[5]{x} - 3\)
Step-by-step explanation:
f(x)=(x+3)×5
Y=5X+15
now
interxchanging x and y we get,
x=5y+15
5y=x-15
y=x-15/5
therefor f~1(x)=x-15/5
AB=BC
Find x:
thank you ❤️
Answer:
x = 43
Step-by-step explanation:
3x - 31 = 2(x+6)
3x - 31 = 2x+ 12
x =43
carlos borrowed 26,000 for 5 years at an APR 5.25% what will his monthly payment be?
Answer:
$568.75.
Step-by-step explanation:
T-Riffic produces T-shirts for a $20 design fee plus an
$8 charge per shirt printed
Complete the table to show the cost for the given
number of shirts
Plz help!!!
PLEASE HELP IM SO LOST
Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2
Step-by-step explanation:
You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about
for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'
in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)
as such the line x = 4 will cut the function f(x) in 'half'
A caterer prepares twice as many pizzas as she usually prepares for a large party. The caterer usually prepares 5 pizzas. The caterer also estimates that each party guest will eat
1
2
of a pizza.
Drag and drop each expression into the correct boxes to complete the explanation.
The expression that represents how many guests the pizzas can serve is .
How many party guests will the pizzas serve? Drag and drop the number of guests into the box.
The pizzas can serve guests.
A charity is raising money by selling two thousand raffle tickets for $2 each. There is one grand prize worth $500, three secondary prizes worth $200 each, and eight third level prizes worth $20 each. What is the expected value of a $2 ticket? Answer is negative $1.358 but how do you calculate that?
The expected value of a $2 ticket is $0.63
How to determine the expected value of a $2 ticketTo calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:
The Probability of winning the grand prize = 1/2000
Product: (1/2000) x $500 = $0.25
The Probability of winning a secondary prize: 3/2000
Product: (3/2000) x $200 = $0.30
The Probability of winning a third level prize: 8/2000
Product: (8/2000) x $20 = $0.08
The sum of the products:
$0.25 + $0.30 + $0.08 = $0.63
So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.
The charity is expected to make a profit, which is why the answer is negative.
That is -$2 + $0.63 = -$1.37
So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)
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find the maximum value of the function f(x)=-1.8x^2+7x-11 to the nearest hundredth.
The maximum value of the function f (x) = -1.8x² + 7x - 11 to the nearest hundredth is, - 4.19.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The function is,
⇒ f (x) = -1.8x² + 7x - 11
Now, We can differentiate with respect to x as;
⇒ f ' (x) = - 1.8 × 2x + 7 × 1 - 0
⇒ f ' (x) = - 3.6x + 7
Put f ' (x) = 0
⇒ - 3.6x + 7 = 0
⇒ 3.6x = 7
⇒ x = 1.94
Now, Again differentiate with respect to x as;
⇒ f ' (x) = - 3.6x + 7
⇒ f '' (x) = - 3.6 × 1 + 0
⇒ f '' (x) = - 3.6 < 0
Hence, Substitute x = 1.94 in function to get maximum value,
⇒ f (x) = -1.8x² + 7x - 11
⇒ f (x) = -1.8 (1.94)² + 7 × 1.94 - 11
⇒f (x) = - 6.77 + 13.58 - 11
⇒ f (x) = - 4.19
Thus, The maximum value = - 4.19
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Use the following information collected in a town of fast food restaurants. 13 served hamburgers, 8 served roast beef sandwiches, 10 served pizza, 5 served hamburgers and roast beef sandwiches 3 served hamburgers and pizza, 2 served roast beef sandwiches and pizza, 1 served hamburgers, roast beef sandwiches and pizza, 5 served none of the three foods
a) Construct a Venn Diagram and put the correct numbers in the Venn diagram.
b) Find the Probabilities. P(pizza)= ___________
c) P (roast beef and pizza)=___________
d) P ( hamburgers, but not roast beef) =______________
e) P (only hamburgers) = ____________
Answer:
I don't know what are you saying bro
answer the following questions in the picture
a. The chart is prepared below.
b. At the end of 4 years, Ross still owes his parents $1,576.92.
How to calculate interest ?To solve this problem, we need to calculate the balance of Ross's loan at the end of each year.
The balance for each year can be calculated by subtracting the yearly payment from the balance at the beginning of the year and adding the interest earned for the year.
The interest for each year is calculated by multiplying the balance at the beginning of the year by the annual interest rate of 3.2%.
Here are the steps for calculating the balance for each year:
Year 1:
Beginning balance = $2,500.00
Interest for the year = $2,500.00 x 0.032 = $80.00
Ending balance = $2,500.00 + $80.00 - $300.00 = $2,280.00
Year 2:
Beginning balance = $2,280.00
Interest for the year = $2,280.00 x 0.032 = $72.96
Ending balance = $2,280.00 + $72.96 - $300.00 = $2,052.96
Year 3:
Beginning balance = $2,052.96
Interest for the year = $2,052.96 x 0.032 = $65.76
Ending balance = $2,052.96 + $65.76 - $300.00 = $1,818.72
Year 4:
Beginning balance = $1,818.72
Interest for the year = $1,818.72 x 0.032 = $58.20
Ending balance = $1,818.72 + $58.20 - $300.00 = $1,576.92
Here's a table that shows the details:
Year ,principal ,Interest rate, interest, Payment ,annual owing
1 $2,500.00 $80.00 $300.00 $2,280.00
2 $2,280.00 $72.96 $300.00 $2,052.96
3 $2,052.96 $65.76 $300.00 $1,818.72
4 $1,818.72 $58.20 $300.00 $1,576.92
b. At the end of 4 years, Ross still owes his parents $1,576.92.
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Huseyn was able to map quadrilateral efgh and Ejgk using a vertical stretch
what error did he make
Hüseyin concluded: "I was able to map quadrilateral EFGH onto quadrilateral EJGK using a sequence of rigid transformations and dilations, so the figures are similar." The error that he make is option A: Huseyn used a vertical stretch, so the quadrilaterals aren't similar.
What is the error?Hüseyin's transformations is one that keeps the EFGH's shape and proportions, so EJGK is similar to EFGH. Similar figures have congruent angles and proportional sides.
The error is seen when he uses vertical stretch, that is violating similarity condition of quadrilaterals EFGH and EJGK. A vertical stretch would alter the proportions of the sides and angles in quadrilateral EFGH, making it non-similar to that of EJGK.
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Divide. Reduce the answer to lowest terms. 2/7 • 15/7