The probability that a randomly selected adult American uses social media, given the individual is 18-34 years of age, depends on the data available on social media usage among this age group.
To obtain an estimate, we can use survey data or other sources that provide information on social media usage rates among adults in this age group. According to a 2021 report by the Pew Research Center, 90% of adults aged 18-29 and 84% of adults aged 30-49 in the United States use social media. Therefore, we can estimate that the probability that a randomly selected adult American uses social media, given the individual is 18-34 years of age, is somewhere between 84% and 90%. However, the actual probability may vary depending on the specific sample and methodology used to obtain the estimate.
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Rafael plays a trivia game with 2 rounds. In the first round, he earns 5 points for answering a question correctly and loses 3 points for answering a question incorrectly. In the second round, he earns 10 póints for answering a question correctly and loses 4 points for answering a question incorrectly. The equations below represent Rafael's performance in each round. 5x– 3y = 22 10x – 4y= 46 Which condition must be true to make the pair of equations a system of equations?
a He answers a total of 15 questions correctly.
BHe answers the same number of questions correctly as he answers incorrectly in each round.
C He answers twice as many questions correctly in the second round as he answers correctly in the first round.
DHe answers the same number of questions correctly in both rounds and the same number of questions incorrectly in both rounds
Answer:
D. He answers the same number of questions correctly in both rounds and the same number of questions incorrectly in both rounds.
Step-by-step explanation:
In the first equation he earns 5 points and loses 3 points. The value of one question is 5 points, and the value of losing one question is 3 points. The same goes for the second equation except the fact that its 10 points and 4 points lost instead.
Cup holds 8 oz and a glass holds 6 oz. Calculate the total intake (mL) for the patient: 1/2 cup of orange juice, 2/3 glass of milk, full cup of lemonade, full glass of water, 1 popsicle (3 ounces) and 4 ounces ice chips.
According to the given measurement, the total amount of intake is 621.0435 ml
Here we have given the following measurements they are listed as follows:
=> 1/2 cup of orange juice,
=> 2/3 glass of milk, full cup of lemonade,
=> full glass of water,
=> 1 popsicle (3 ounces) and
=> 4 ounces ice chips.
Here we also know that
1 cup = 8 oz
1 glass = 6 oz
And as per the Si measurements,
1 oz = 29.5735 ml.
To order to calculate the total amount of intake we have to sum all the given measurements, then we get,
=> 1/2(8) + 2/3(6) + 6 + 3 + 4
When we simplify this one then we get,
=> 4 + 4 + 6 + 3 + 4 = 21
Now, we have to convert ounce into milliliter, for that we have multiply 29.5735 with the total measurement, then we get,
=> 21 x 29.5735 = 621.0435 ml
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Solve set of each equation
2|3x-2|= 14
\(2(3x - 2) = 14 \\ = > 6x - 4 = 14 \\ = > 6x = 14 + 4 \\ = > 6x = 18 \\ = > x = \frac{18}{6} \\ = > x = 3\)
Answer:The answer is 3.
Write the degree of each of the following polynomials:
(1) 5x³+4x²+7x
(ii) 4-y²
(iii) 5t-√√7
(iv) 3
Answer:
Step-by-step explanation:
George wants to increase the amount of push-ups that he can do each day by 2. He is already able to do 14 push-ups. The amount of push-ups George wants to do each day is given by the linear function f(x) = 2x + 12. Which explicit rule is equivalent to this linear function?
Answer:
Explicit rule used is: f(n) = f(1) + (n - 1)d
Step-by-step explanation:
We are told he currently does 14 push ups per day.
Now, he wants to increase the push ups by 2 per day.
Now, the first term in the sequence of push ups is 14 while the constant difference is 2.
Now, the explicit rule to be used here is arithmetic progression whereby;
f(n) = f(1) + (n - 1)d
Where;
f(1) is first number in the sequence
d is constant difference
n is number of days
Thus, plugging in our values from the question, we have;
f(n) = 14 + (n - 1)2
f(n) = 14 + 2n - 2
f(n) = 2n + 12
This tallies with the linear function given in the question.
Thus; the explicit rule used here is;
f(n) = f(1) + (n - 1)d
population of a small town of $10,800 2002 the population has decreased at a rate of 2.5% each year write an exponential function to model the situation then find the population of the town of 2020
Answer:
The population of the town of 2020 is approximately 6847
Step-by-step explanation:
The given population of the small town is 2002, P₀ = 10,800
The annual percentage decrease in the population, r = 2.5%
The date at which the new population,'P', is required = 2020
Therefore;
The number of years over which the population changes, 't', is given as follows;
t = 2020 - 2002 = 18
The number of years over which the population changes, t = 18 years
Given that the population is decreasing, we get;
The general formula for exponential decay is given as follows;
\(P = P_0 \cdot (1 - r)^t\)
Therefore, the population, 'P', of the town of 2020 which is in t = 18 years, is given as follows;
\(P = 10,800 \times(1 - 0.025)^{18} = 6847.10263915\)
Given that the population is given in whole numbers, we round down to the nearest whole number population of people as follows;
The population of the town of 2020, P ≈ 6847.
Sam types 44 words per minutes. How long does it take Sam to type 1,232 words?
Answer:
28 minutes
Step-by-step explanation:
1232w * ((1m) / (44w))
1232m / 44 = 28m
The part in italics is just the ratio of 44 words per minute
Write a function rule to represent the situation.
the total cost C for g grams of ham if each gram costs $5.77
Write a function rule using C and g as variables.
(Type an equation.)
The function rule representing the situation is C = 5.77g, where C is the total cost and g is the weight of ham in grams.
The function rule C = 5.77g represents the relationship between the total cost (C) and the weight of ham (g) in grams. In this situation, each gram of ham costs $5.77, so the total cost is obtained by multiplying the cost per gram ($5.77) by the weight of ham (g).
The equation C = 5.77g follows a linear relationship, where the cost (C) is directly proportional to the weight of ham (g). This means that as the weight of ham increases, the total cost also increases proportionally. For example, if we have 100 grams of ham, the total cost would be calculated as 5.77 * 100 = $577.
By using this function rule, we can easily determine the total cost of any given weight of ham. It provides a straightforward way to calculate the cost without needing to perform complex calculations or look up individual prices for different quantities. This equation can be useful in various situations, such as meal planning, budgeting, or determining the cost for commercial purposes.
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Which of the type directions lie in the (110) plane? [101] [110] [o īl] (110
The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.
Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.
Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.
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VOLUME-Find the Volume of the rectangular prism.
Answer:
144
Step-by-step explanation:
base x length x height
12 x 4 x 3
144
X+ 1
If g(x) =
x-2 and h(x) = 4 – X, what is the value of (905)(-3)?
Answer:
Wait can you explain it better?
Step-by-step explanation:
Order the numbers from least to greatest: 0.82, 0.8, 0.83 repeating.
Answer: 0.83,0.82,0.8
what is x1, the x co-ordinate of the object arrow?.
The x1 value you find will be the x-coordinate of the object "arrow."
The position of any point in three-dimensional space can be represented by three Cartesian coordinates, the distance from the point to the three coordinate planes. In general, n Cartesian coordinates represent points of an arbitrary n in n-dimensional Euclidean space. These coordinates are signed at the distance from the point to n fixed hyperplanes perpendicular to each other.
To find the x-coordinate (x1) of the object "arrow," follow these steps:
1. Identify the object "arrow" on your graph or diagram.
2. Locate the point where the object's base (or tip) touches the x-axis.
3. Read the x-coordinate (x1) value at this point.
The x1 value you find will be the x-coordinate of the object "arrow."
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How are one variable absolute equations created ?
Answer: Absolute value equations are equations where the variable is within an absolute value operator, like |x-5|=9. The challenge is that the absolute value of a number depends on the number's sign: if it's positive, it's equal to the number: |9|=9. If the number is negative, then the absolute value is its opposite: |-9|=9.
Step-by-step explanation:
The degree of freedom to test if the coefficients on BDR and Age are statistically different from zero at the 5% level is The critical value for the preceding test using the Fm,wo distribution lable is (Enter your values exactly as they appear in the table ) The Fstatistic for omitting BDR and Age from the regression is F = 0.08. Are the coefficients on BDR and Age statistically different from zero at the 5% level? 0 A_ Because 0.08 is greater than the critica value the coefficients are jointly significant at the 5% level: Because 0.08 is less than the critical value, Ihe coefficients are jqintly significant at the 5% level: Because 0.08 less than the critical value, the coefficients are not jointly significant at the 59 level: Because 0.08 is greater Ihan the critical value the coefficients are not jointly significant at the 5% level.
This is because the F-statistic for omitting BDR and Age from the regression is 0.08, which is less than the critical value for the test using the F-distribution table.
To test if the coefficients on BDR and Age are statistically different from zero, we compare the F-statistic with the critical value from the F-distribution table. The F-statistic is a measure of the overall significance of the regression model when certain variables are omitted.
In this case, the F-statistic is given as 0.08. To determine if the coefficients are statistically different from zero at the 5% level, we compare this value with the critical value from the F-distribution table. The critical value represents the threshold beyond which we reject the null hypothesis.
Based on the statement provided, it states that 0.08 is "less than the critical value." Since the F-statistic is smaller than the critical value, we can conclude that the coefficients on BDR and Age are not jointly significant at the 5% level. In other words, we fail to reject the null hypothesis that the coefficients are equal to zero.
The use of the phrase "jointly significant" implies that the significance of the coefficients is considered together, rather than individually. The test assesses the overall impact of BDR and Age on the regression model, rather than their individual effects. Since the F-statistic falls below the critical value, we do not have sufficient evidence to conclude that BDR and Age have a significant impact on the model.
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I’m very confused with questions and I need help
Both equations represent straight lines
The first line has slope of 2 and y-intercept at -3
The second line gas slope of 2 and y-interceot at +3
you may now try to plot these two lines on the paper
what is 4270 rounded to the nearest thousands
Answer:
4,000
_______
*rate this answer and say thanks please!
Prove that the medians to the legs of an isosceles triangle are congruent.
Step-by-step explanation:
Let ABC be an isosceles triangle with sides AC and BC of equal length.
We need to prove that the medians AD and BE are of equal length.
Consider the triangles ADC and BEC.
They have two congruent sides that include congruent angles.
Indeed, AC = BC by the condition, because the triangle ABC is isosceles.
Since the lateral sides AC and BC are of equal length, their halves EC
and DC are of equal length too: EC = DC.
Finally, the angle ECD is the common angle.
Thus, the triangles ADC and BEC are congruent, in accordance to the
postulate P1 (SAS) (see the lesson Congruence tests for triangles of the
topic Triangles in the section Geometry in this site).
Hence, the medians AD and BE are of equal length as the corresponding sides
of these triangles.
The proof is completed.
Find the limit, if it exists, or show that the limit does not exist.
Lim(x,y,z) → (0,0,0) xy+yz+xz / x^2+y^2+z^2
The limit, if it exists, or show that the limit does not exist is to be found using the function Lim(x,y,z) → (0,0,0) xy+yz+xz / x²+y²+z².
The given function can be simplified as shown below: xy+yz+xz / x²+y²+z²= x(y+z)/x²+y²+z²+ y(x+z)/x²+y²+z²+ z(x+y)/x²+y²+z²
Now, we'll use the squeeze theorem to find the limit:
0 ≤ |x(y+z)/x²+y²+z²| ≤ |x|/√(x²+y²+z²) (since |y+z| ≤ |y|+|z| ≤ √(y²+z²+2yz))
Similarly, 0 ≤ |y(x+z)/x²+y²+z²| ≤ |y|/√(x²+y²+z²) and 0 ≤ |z(x+y)/x²+y²+z²| ≤ |z|/√(x²+y²+z²)
So, we have: 0 ≤ |xy+yz+xz|/x²+y²+z² ≤ (√(x²+y²+z²)/√(x²+y²+z²)) (|x|+|y|+|z|)0 ≤ |xy+yz+xz|/x²+y²+z² ≤ (|x|+|y|+|z|)
And now we'll apply the squeeze theorem.
Let L = lim(x,y,z) → (0,0,0) xy+yz+xz / x²+y²+z²
Thus,0 ≤ |xy+yz+xz|/x²+y²+z² ≤ (|x|+|y|+|z|) → 0 as (x,y,z) → (0,0,0)
Therefore, by squeeze theorem, lim(x,y,z) → (0,0,0) xy+yz+xz / x²+y²+z² = 0
Hence, the given limit exists and is equal to 0.
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Rosa likes to dance 10 hours a week to stay in shape. She tracks the amount of time
she dances each day.
The table below shows the data for the last five days.
im sorry if the picture is too blurry. but i’ll type it out too in case
1) did rosa meet her goal of dancing 10 hours a week? explain and show your work to prove whether rosa reached her goal.
2) what is the average dance time for the week? show your work to find the average.
then the numbers are on the chart.
Answer:
1) Yes
2) 2.07 hours/day
Step-by-step explanation:
1)
2.2 + 4 + 2 1/4 + 0 + 1.9 =
= 6.2 + 2.25 + 1.9
= 10.35
She danced a total of 10.35 hours, so she did meet her goal.
2)
10.35/5 = 2.07
She danced an average of 2.07 hours per day.
Pls help! Correct answers for brainliest!
1. The sum of three consecutive numbers is 102. What is the smallest of the the three numbers?
2. The sum of three consecutive numbers is 69. What is the smallest of the three numbers?
3. Keith bought a soft drink for 4 dollars and 8 candy bars. He spent a total of 44 dollars. How much did each candy bar cost?
4. Tim bought 4 new baseball cards to add to his collection. The next day his dog ate half of his collection. There are now only 43 cards left. How many did Tim start with?
Answer: 1. 33 , 2. 21 , 3. $5.00 , 4. 39.
Step-by-step explanation:
4. Let the original number of baseball trading cards in Tim's possession be
x
An equation to arrive at the number will be:
x
+
9
2
=
24
This is because half the collection AFTER adding
9
new cards is
24
(the other half was eaten by his dog).
Multiply both sides by
2
.
x
+
9
=
48
Subtract
9
from both sides.
x
=
39
This meal costs $19.00 .A sales tax is applied, followed by an automatic tip of 18 %.What is the total with tax and tip?
The total cost of he meat with tax and tip is $ 22.42
How to find the totalTo calculate the total cost with tax and tip, we need to follow these steps:
multiply the meal cost by the tip rate. when the tip rate is 18%, we have:
Tip amount = $19.00 * 0.18 = $3.42
Add the meal cost, sales tax, and tip amount to get the total cost:
Total cost = Meal cost + Sales tax + Tip amount
= $19.00 + $3.42
= $ 22.42
Therefore, the total cost with tax and tip is $22.42
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Helen has 2 winter coats, 4 hats and 3 scarves. How many different outfit combinations does Helen have to chose from?
Given:
Number of winter coats = 2
Number of hats = 4
Number of scarves = 3
To find:
The total number of different outfit combinations.
Solution:
Number of winter coats is 2. So, the number of ways to select a winter coat from 2 coats is 2.
Number of hats is 4. So, the number of ways to select a hat from 4 hats is 4.
Number of scarves is 3. So, the number of ways to select a scarf from 3 scarves is 3.
So, the total number of ways is:
\(2\times 4\times 3=24\)
Therefore, Helen have 24 different outfit combinations.
find the slope of the skate ramp that has a vertical change of 7 and horizontal change of 35
Answer:
1/5
Step-by-step explanation:
If a gain of $12000 is incurred in selling (for cash) office equipment having a book value of $110000, the total amount reported in the cash flows from investing activities section of the statement of cash flows is
The total amount reported in the cash flows from investing activities section of the statement of cash flows would be a gain of $12,000.
The cash flows from investing activities section of the statement of cash flows captures the cash transactions related to the purchase or sale of long-term assets, such as property, plant, and equipment. When an office equipment is sold for cash, the cash received from the sale is recorded as an inflow in the investing activities section.
In this scenario, a gain of $12,000 is incurred from the sale of office equipment with a book value of $110,000. The gain represents the excess of the cash received from the sale over the book value of the equipment. Since the gain is considered a positive cash flow, it would be included as an inflow in the cash flows from investing activities section.
Therefore, the total amount reported in the cash flows from investing activities section would be the gain of $12,000, indicating a positive cash inflow resulting from the sale of the office equipment.
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Please help me simplifying algebraic expressions containing parentheses brackets and braces I need help on number four.pls help this needs to be done very soon pls pls
Answer: x + y - 9
Step-by-step explanation:
3x−(y+3x−(2y+x))−2−7
=3x+−y+−3x+2y+x+−2+−7
Combine Like Terms:
=3x+−y+−3x+2y+x+−2+−7
=(3x+−3x+x)+(−y+2y)+(−2+−7)
=x+y+−9
Solution: x+y−9
The population of a small town was 10,800 in 2003. Since then, the population has
decreased at a rate of 2.5% each year. What is the population of the town in 2021?
Answer: 5940
Step-by-step explanation: I don't know if it's for sure right but here
First I knew 10,800 was 100% and I wanted to find 2.5%
So I did:
10,800 divided by 100 and I got 108 = 1%
Than you want to do
108 x 2.5 = 270 ( 2.5% )
After that you wanted to find out how much years apart so
2021 - 2003 = 18
Then
18 x 270 = 4,860
Last of all you have to do
10,800 - 4,860 = 5940
Solve for x. Leave your answer in simplest radical form.
X
12 ft
16 ft
HELP ASAPPP
Answer:
x = 4√7
Step-by-step explanation:
You can use the pythagorean theorem which is a² + b² = c²
if you plug it in, it would be...
x² + 12² = 16²
x² + 144 = 256, subtract 144 to both sides
x² = 112, square root both sides to make x by itself.
x = 4√7
1. Explain how you can find the volume of the zone 1 cone.
2. Find the volume of the zone 1 cone. Write your answer in terms of pi.
3. Explain how you can find the volume of the zone 2 cone.
4. Find the volume of the zone 2 cone. Write your answer in terms of pi.
5. How many more mosquitoes are there in zone 2 than there are in zone 1. Use 3. 14 for pi
1. To find the volume of the zone 1 cone, you need to subtract the smaller cone from the larger cone. The larger cone can be visualized as an entire cone, and the smaller cone as a cone that has been cut off from the top.
2. Given the radii and heights of the cones are, r1 = 4, r2 = 2, h = 12To find the volume of the zone 1 cone, Volume of cone = 1/3πr1²h1/3 × 3.14 × 4² × 6= 100.48 cubic units We now need to find the volume of the smaller cone and then subtract it from the volume of the larger cone. The height of the smaller cone is 6 units and its radius is 2 units. So, the volume of the smaller cone = 1/3 π (2)² (6)1/3 × 3.14 × 4 × 2= 16.74 cubic units Now, the volume of zone 1 cone can be found by subtracting the volume of the smaller cone from the volume of the larger cone.= 100.48 – 16.74= 83.74 cubic units
3. To find the volume of the zone 2 cone, we just need to use the formula of the volume of the cone. Volume of cone = 1/3πr²h
4. Given the radii and heights of the cones are, r1 = 4, r2 = 2, h = 12To find the volume of the zone 2 cone, we first find the volume of the entire cone. Volume of cone = 1/3πr²h1/3 × 3.14 × 4² × 12= 201.06 cubic units Now we find the volume of the smaller cone (zone 1).Volume of smaller cone = 1/3 πr²h1/3 × 3.14 × 2² × 6= 16.74 cubic units The volume of the zone 2 cone can be found by subtracting the volume of the smaller cone from the volume of the larger cone.= 201.06 – 16.74= 184.32 cubic units
5. To find the number of mosquitoes in zone 2 than in zone 1, we need to use the ratio of the volumes of zone 2 cone and zone 1 cone. Volume of cone = 1/3πr²hNumber of mosquitoes ∝ Volume of cone Since the height is the same for both cones, we can use the ratio of the radii to find the ratio of their volumes. Ratio of volumes = (Volume of zone 2 cone)/(Volume of zone 1 cone)= 184.32/83.74= 2.2So, there are 2.2 times more mosquitoes in zone 2 than there are in zone 1.
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25 pts! Dont copy someone elses work plz
Explain why the equation (x-4)^2-28=8 has two solutions. Then solve the equation to find the solutions. Show your work
Answer:
x = −2 or x = 10
Step-by-step explanation:
for the explanation see the image