Answer:
Lena is 3 now
Sasha is 9 now
Step-by-step explanation:
L = Lenas age
S = sasha age
Now
S = L+6
In 3 years
(S+3) = 2(L+3)
Substitute the first equation into the second
( L+6+3) = 2(L+3)
Combine like terms and distribute
L+9 = 2L+6
Subtract L from each side
L+9-L = 2L -L+6
Subtract 6 from each side
9-6 =L+6-6
Lena is 3 now
Sasha is L+3 = 3+6 = 9 now
What’s the correct answer for this?
Answer:2
Step-by-step explanation:
So they are both equal right. They gave us what a is which was 2 so that means b must be 2 as well.
Hope I helped
Answer:
2
Step-by-step explanation:
The slope of line b is also 2 as they are parallel to eachother and parallel lines have equal slopes.
PLS HELP ME
The smallest hummingbird is the Bee hummingbird. It has a mass of about 1
1
4
grams. The mass of a larger type of hummingbird is about 6 times the mass of the Bee hummingbird.
What is the mass of the larger hummingbird?
Answer:
The mass of the larger hummingbird is 7 1/2 or 15/2.
Step-by-step explanation:
Bee hummingbird = 1 1/4g
Larger hummingbird = 6x that
So,
1 1/4 x 6 = 7.5
7.5 as fraction = 7 1/2 or 15/2
A statics class has 50 students and among those students, 35 are business majors and 7 like grilled cheese. Of the business majors, 3 like grilled cheese. Find the probability that a randomly selected statistic student is a business major or likes grilled cheese
The probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.78.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that the statistics class has 50 students and among those students, 35 are business majors, and 7 like grilled cheese. Of the business majors, 3 like grilled cheese.
The probability will be calculated as:-
P(AUB) = P(A) + P(B) - P(AB)
\(P(AUB)=\dfrac{35}{50}+\dfrac{7}{50}-\dfrac{3}{50}\)
\(P(AUB)=\dfrac{42-3}{50}\)
\(P(AUB)=\dfrac{39}{50}\)
P(AUB) = 0.78
Therefore the probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.78.
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A six-week fitness program was designed to decrease the time it takes retired individuals to walk one mile. At the beginning of the program, 20 randomly selected retired individuals were invited to participate, and their times to walk a mile were recorded. After the six-week program, their times to walk a mile were again recorded. Most participants saw little to no improvement in their times to walk one mile; however, a few participants saw drastic improvements in their times to walk one mile. The program director would like to perform a hypothesis test to determine if the program reduces the mean time for retired individuals to walk a mile. Which of the following statements is true?
a. Because there are 40 observations in total, the sample size is large enough to assume that the sampling distribution of the sample mean differences is approximately normal.
b. Because the walk times before and after the program are paired, a hypothesis test is not appropriate.
c. The sampling distribution of sample means can be assumed to be approximately normal because the distribution of the sample data is not skewed.
d. Because the sample size of 20 is less than 30 and the improvements in walk times in the sample data appear to be skewed, the distribution of sample means should not be assumed to be approximately normal.
e. Because the program recruited only retired individuals, the distribution of sample means should not be assumed to be approximately normal.
Answer:
c. The sampling distribution of the sample means can be assumed to be approximately normal because the distribution of the sample data is not skewed
Step-by-step explanation:
From the given data, we have;
The category of the sample = Retired individuals
The number of participants in the sample = 20
The duration of program = six-weeks
The improvement seen by most participants = Little to no improvement
The improvement seen by few participants = Drastic improvement
Therefore, given that the participants are randomly selected and the majority of the participants make the same observation of improvement in the time to walk a mile, we have that, the majority of the outcomes show little difference in walk times after the program, therefore, the distribution of the sample data is not skewed and can be assumed to be approximately normal
A high school is voting on a new mascot. Lion Eagle Bee Ninth Grade 45% 32% 23% Tenth Grade 36% 40% 24% Eleventh Grade 50% 28% 22% Twelfth Grade 40% 25% 35% Match the two-way table to the segmented bar graph.
The steps to create a bar graph are explained below.
To match the two-way table to the segmented bar graph, we need to create a segmented bar graph that represents the data in the table. The table shows the percentage of students in each grade who voted for each mascot option.
Here is how we can match the two-way table to the segmented bar graph:
For the Lion mascot option, the segmented bar graph would have the largest segment for 11th grade, followed by 9th grade, 10th grade, and 12th grade.For the Eagle mascot option, the segmented bar graph would have the largest segment for 10th grade, followed by 11th grade, 9th grade, and 12th grade.For the Bee mascot option, the segmented bar graph would have the largest segment for 12th grade, followed by 9th grade, 10th grade, and 11th grade.By creating a segmented bar graph that represents the data in the two-way table, we can visually compare the percentage of students who voted for each mascot option across different grade levels.
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if you double a number and then add 36, you get 4 over 11 (4/11) of the original number,
what is the original number?
Answer:
The original number is -22
Step-by-step explanation:
We'll label our mystery number x.
2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22
Plug in to confirm
-44 + 36 = -88/11S
8 = 8
Determine the value of y for the inequality 2 times the quantity y plus one third end quantity is greater than two thirds. y is greater than negative 1 over 36 y is less than negative 1 over 36 y > 0 y < 0
The value of y for the inequality is y > 0
How to determine the value of y for the inequality?
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.
The inequality 2 times the quantity y plus one third end quantity is greater than two thirds can be written as:
2(y + 1/3) > 2/3
To determine the value of y in the inequality, you need to solve for y. That is:
2(y + 1/3) > 2/3
y + 1/3 > 1/3 (Divide both sides by 2)
y > 1/3 - 1/3 (Collect like terms)
y > 0
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Susan is buying three different colors of tiles for her kitchen floor. She is buying 107 red tiles, and three times as many navy blue tiles as beige tiles. If susan buys 435 tilea all together, how many tiles of each color does susan buy?
A study was conducted on the educational level of patients with AIDS, it was asume that
with ten years of education will be in group A, between 10 and 20 group B and between 20
group C. After the analysis it was realized that group A had 100 persons while group B and C had 30 persons
(a) If you decide to select based on proportion of 10% from each group how many patien
selected from each group. Show your calculation.
(b) What name can be given to the classified groups?
(c) What method of sampling was employed in the selection process?
1. State and explain the three major data collection techniques.
What is a variable?
What is a Parameter?
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.
(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.
(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.
The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.
The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.
A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
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24 students in a class.If 18 students made their own lunch,what percent did not?
Answer:
25%
Step-by-step explanation:
6+6+6+6 equals 24,
please helpppppp ! im failing this clss
Use ratio and proportion to solve the following business situation. If a bulk order of 1,700 blouses costs $49,300, how much (in dollars) would 2,000 blouses cost?
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
When a number is added to of itself, the result is 24. The equation that models this problem is n + { n = 24. What is
the value n?
On = 18
O n= 20
O n = 21
O n= 233
Answer:
The value of n is 12.
Step-by-step explanation:
n+n=24
2n=24
n=24/2
n=12
Step-by-step explanation:
the other answer is correct for the readable question, of course, but since the answer options do no fit to that and some strange phrasing in the description lead me to believe that some essential information is not written here.
I suspect it should say something like
the number is added to 1/x of itself.
let's try the different answer options and find what would be the right x :
n = 18
18 + 1/x × 18 = 24
6 = 18/x or x/18 = 1/6
x = 18/6 = 3
so, if we needed to add 1/3 of the number to itself to get 24, the correct answer would be 18.
n = 20
20 + 1/x × 20 = 24
4 = 20/x or x/20 = 1/4
x = 20/4 = 5
so, if we needed to add 1/5 of the number itself to get 24, the correct answer would be 20.
n = 21
21 + 1/x × 21 = 24
3 = 21/x or x/21 = 1/3
x = 21/3 = 7
so, if we needed to add 1/7 of the number itself to get 24, the correct answer would be 21.
n = 233
I think this must be a typo too, but let's just calculate it through.
233 + 1/x × 233 = 24
-209 = 233/x or x/233 = -1/209
x = -233/209 = -1.114832536...
so, no, this is definitely not a homework or test question.
also possible would be 16 (when adding half of the number to itself to get 24).
and 22 (when adding 1/11 of the number to itself to get 24).
7.65 x 6
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer is 45.9
Step-by-step explanation:
hope this helps :)
can I plz have brainliest
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Help quick.
Answer: y=8 and x=8 radical 3
Benny has 72 teddy bears at his toy store. He wants to put them on 8 shelves with
the same number of bears on each shelf. How many teddy bears are on each shelf?
Answer: Answer below
Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.
we can verify our answer by doing 9x8 which equals 72.
Answer: 9
Step-by-step explanation:
bears divided by shelves = number of bears per shelf
72 bears divided by 8 shelves= 9 bears per shelf
I am giving brainlest
Which statement best describes the value of 8 ÷ 4 × 7 + (38 – 15)?
a
the product of 4 and 7 divided by 8, plus 38, minus 15
b
the quotient of 8 and 4, times 7, plus the sum of 38 and 15
c
the product of 8 and 4 times 7, plus the difference of 38 and 15
d
the quotient of 8 and 4, times 7, plus the difference of 38 and 15
Answer:
D is the answer
Step-by-step explanation:
- 4(x + 5) = 16 what does x equal?
Answer:x= 9
Step-by-step explanation:
-4(x+5) = 16
-4*x= -4x -4*5= -20
16 - -20= 36
-4x/-4= x 36/-4=9
A radioactive compound with mass 260 grams decays at a rate of 3.8% per hour. Which equation represents how many grams of the compound will remain after 8 hours?
Approximately 138.3 grams of the compound will remain after 8 hours. The decay of a radioactive compound is an exponential process, which can be modeled by the equation:
N(t) = N₀ * e^(-λt)
where N(t) is the amount of the compound remaining at time t, N₀ is the initial amount of the compound, λ is the decay constant, and e is the mathematical constant known as Euler's number.
To find the amount of the compound remaining after 8 hours, we need to plug in the given values into the equation above. We know that the initial mass of the compound is 260 grams, and the decay rate is 3.8% per hour, which means that the decay constant λ is equal to 0.038. Therefore, the equation becomes:
N(8) = 260 * e^(-0.038 * 8)
Simplifying this equation gives:
N(8) = 260 * e^(-0.304)
N(8) ≈ 138.3 grams
Therefore, approximately 138.3 grams of the compound will remain after 8 hours.
It's important to note that this calculation assumes that the decay rate remains constant over time, which may not always be the case in reality. Additionally, the actual amount of the compound remaining may vary due to experimental error or other factors.
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I need to know what x is and if you could put the steps that could be really helpful (THANK YOU)
Step-by-step explanation:
Hey there!!!
Here,
Triangle BCM and triangle ABC are 2 isosceles triangle.
Solving in triangle BCM.
Angle CBM = 31° { it is the base angle.}
Angle CBM + 31° + angle BCM = 180° { sum of interior angle of a triangle is 180°}.
31°+31°+ angle BCM = 180°
Angle BCM = 180° - 62°
Therefore the measure of angle BCM = 118°.
Again,
Solving in triangle ABC.
Angle BCM + angle ACB = 180° { being linear pair}.
118°+ angle ACB = 180°
Angle ACB = 180°-118°
Therefore the measure of angle ACB is 62°.
Angle ACB = angle BAC (Base of an isosceles triangle).
Therefore the measure of angle BAC = 62°.
Now, To find x,
Angle BAC + angle ACB + angle x = 180° (sun of interior angle of a triangle is 180°).
62°+62°+angle x = 180°
Therefore the measure of angle x is 56°.
\(hope \: it \: helps...\)
A recipe requires 3 cups of flour to make 15 servings and 7 cups of flour to make 35 servings how many cups of flour are needed to make 20 servings?
Answer:
a = 8
b = 2
c = 48
Step-by-step explanation:
3 cups of flour is needed to make 24 servings.
3:24
Simplify. First, divide 3 from both sides of the ratio.
(3)/3 : (24)/3
1:8
Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1
1 x 2 = b = 2
Finally, multiply 8 to 6 to get c.
8 x 6 = c = 48
~
It takes 52 minutes for 5people to paint 5 walls. How many minutes does it take 20 people to paint 20 walls?
Answer:
52 minutes
Step-by-step explanation:
This should be a proportional statement, because if each individual person painted there own wall it should still take 52 minutes.
Find the value of x for the following
Answer:
x = -2
Step-by-step explanation:
Given angles are,
→ 9x + 96°
→ 7x + 92°
Now we have to,
→ Find the required value of x.
We know that,
→ Vertically opposite angles are equal.
Forming the equation,
→ 9x + 96° = 7x + 92°
Then the value of x will be,
→ 9x + 96° = 7x + 92°
→ 9x - 7x = 92° - 96°
→ 2x = -4
→ x = -4/2
→ [ x = -2 ]
Hence, the value of x is -2.
(02.01 LC) Which of the following tables represents a function?
Answer:
the answer is the third one
Step-by-step explanation:
because in a function the x value has to be unique.
Answer:
c (third one)
Step-by-step explanation:
I'm really nervous because I have a big test in 10 minutes; what are your most effective strategies to calm down? any tips?
Answer:
just focus on breathing and not stressing. dont focus on any last minute revision as this probably wont be useful. try drinking some water
Solve using substitution.
y = x + 1
y = 2x + 9
Answer:
x=-8; y=-7
Step-by-step explanation:
x+1=2x+9
suy ra x=-8
thay x vào y=x+1
suy ra y=-7
the following frequency data shows the number of States including the District of Columbia that favorite each party in the presidential popular vote in 1976 and 2012. Drag and drop the correct equations and inequalities into the boxes to complete the explanation
The conditional relative frequency that a state was won by the Democrat in 2012, given that a Democrat won the state in 1976 is: 12 (won by the Democrat in 2012 and also in 1976)/24(Total won by the Democrat in 1976)= 50 %
The conditional relative frequency that a state was won by the Republican in 2012, given that a Republican won the state in 1976 is: 12 (won by the Republican in 2012 and also in 1976)/27(Total won by the Republican in 1976)= 44.4 %
Since 44.4 % < 50%, the 2012 Republican candidate was slightly less likely to win a state that had voted for the party's candidate in 1976 than the Democratic candidate.
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What
is the shape of the cross-section resulting from the cut?
СА.
an equilateral triangle
B.
a square
C.
a rhombus
D.
a regular hexagon
Answer:
The shape from the cross-section resulting from the cut would be a Rhombus
Step-by-step explanation:
Edmentum Plato users!
The shape of the cross-section resulting from the cut is C. Rhombus.
What is a rhombus?A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.
Here, the information states that the edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
Therefore, the shape of the cross-section resulting from the cut is a rhombus.
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Which function has a greater maximum?
�
(
�
)
=
−
2
(
�
+
4
)
2
+
1
f(x)=−2(x+4)
2
+1f, left parenthesis, x, right parenthesis, equals, minus, 2, left parenthesis, x, plus, 4, right parenthesis, squared, plus, 1
A coordinate plane. The x- and y-axes both scale by one. The graph is the function y equals g of x which is a parabola that opens down. The function increases through negative four, negative five and negative three, negative two. It has a maximum at negative two, one, then the function decreases through negative one, negative two and zero, negative five.
The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.
1. The given function is f(x) = \(-2(x+4)^2\) + 1.
2. To find the maximum of the function, we need to determine the vertex of the parabola.
3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.
4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.
5. The x-coordinate of the vertex is given by h = -4.
6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.
7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.
8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).
9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.
10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.
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