Answer:
C) 100
Step-by-step explanation:
250+600-350-400
850-350-400
500-400=100
Need an answer quick!!
What is the volume of the shape on the next page?
Answer:
6 in³
Step-by-step explanation:
volume = width X length X height
= 3 X 1 X 2
= 6 in³
The dot plot displays data from 14 random samples, each consisting of 30 middle school students. Each dot represents the mean number of sports played per year by students in the sample.
Which number best represents the mean number of sports played by middle school students? Write your answer as a decimal to the nearest tenth.
__ sports
Part B
Find and interpret the variability in the distribution. Round the MAD to the nearest hundredth.
The MAD is about_____ sport(s). The majority of the sample means are within ______ sport(s) of the mean. This means our estimate is likely not far off from the true mean.
The best representation of the mean number of sports played by middle school students is 2.75 sports and the MAD is about 0.84 sports.
To find the best representation of the mean number of sports played by middle school students, we need to calculate the median of the given data.
The median represents the central tendency of the data and is less affected by extreme values.
Arranging the means of the samples in ascending order, we have:
1, 1, 2, 2.5, 3, 3, 3.5, 4
Since there are eight values, the median will be the average of the fourth and fifth values:
(2.5 + 3) / 2 = 2.75
Variability in the Distribution
Summing up the absolute deviations:
1.75 + 1.75 + 0.75 + 0.25 + 0.25 + 0.25 + 0.75 + 1.25 = 6.75
To find the MAD, we divide the sum of the absolute deviations by the total number of data points:
MAD = 6.75 / 8 = 0.84
Therefore, the MAD is about 0.84 sports.
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Elon sent a chain letter to his friends, asking them to forward the letter to more friends.
The relationship between the elapsed time,
�
tt, in days, since Elon sent the email, and the total number of people who receive the email,
�
(
�
)
P(t)P, left parenthesis, t, right parenthesis, is modeled by the following function:
P(t)=4⋅3t
Complete the following sentence about the daily rate of change in the number of people who receive the email.
Every day, the number of people who receive the email
by a factor of
.
Every day, the number of people who receive the email grows by a factor of 3.
What is an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
[tex]f(x) = a(b)^x[/tex]
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change, common ratio, decay rate, or growth rate.Based on the information provided above, an exponential function for the total number of people who received the email is given by;
[tex]P(t) = 4(3)^t[/tex]
By comparison, we have the following parameters;
Initial value, a = 4.
Growth rate, b = 3.
In conclusion, the number of people who receive the email from Elon every day grow by a factor of 3.
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Can someone please solve this for me
Answer:
1.3136363636363637
Step-by-step explanation:
Bc u times 17 times 17 devide by 220
(30 de puncte) SUBIECTUL al III-lea. Scrieți rezolvările complete. 1. Denisa are cu 27 de ani mai puțin decât mama ei, care are cu un an mai puţin decât tatăl fetei. Denisa este de cinci ori mai tânără decât tatăl său. a) Cu câți ani este mai tânără Denisa decât tatăl ei? b) Determină vârsta fetei. (2p) (3p) (Sp)
Answer:
Să rezolvăm această problemă pas cu pas. Să denotăm vârsta Denisei ca D, vârsta mamei sale ca M și vârsta tatălui ei ca F. Din informațiile date, putem scrie următoarele ecuații:
M = D + 27 (Denisa are cu 27 de ani mai puțin decât mama ei) F = M + 1 (mama Denisei are cu un an mai puțin decât tatăl ei) F = 5D (Denisa este de cinci ori mai tânără decât tatăl ei)
a) Din ultima ecuație, putem vedea că Denisa este F - D cu ani mai tânără decât tatăl ei. Înlocuind F cu 5D, înțelegem că Denisa este 5D - D = 4D cu ani mai tânără decât tatăl ei.
b) Pentru a determina vârsta Denisei, putem rezolva sistemul de ecuații. Din prima ecuație, obținem acel M = D + 27. Înlocuind acest lucru în a doua ecuație, obținem acel F = D + 27 + 1 = D + 28. Înlocuind acest lucru în a treia ecuație, obținem acel D + 28 = 5D. Rezolvând pentru D, obținem acel D = 7.
Deci Denisa are 7 ani.
Answer:
Denisa are 7 ani
Step-by-step explanation:
PLEASE HELP
Triangle ABC is similar to triangle XYZ.
Solve for p.
Answer:
Step-by-step explanation:
14. All of the following are advantages of a 401(k), EXCEPT... *
1 point
A.You don't pay taxes on your investments' growth each year
b.You can invest your 401(k) into a wider variety of asset types than you can with
an IRA
c.Your employer may match some of your 401(k) contributions
d.You can contribute more money into a 401(k) than into an IRA
Except You can invest your 401(k) into a wider variety of asset types than you can with an IRA. All are the advantages. Option B
A) You don't pay taxes on your investments' growth each year: One of the main advantages of a 401(k) plan is the tax advantage it provides.
Contributions to a traditional 401(k) are made on a pre-tax basis, meaning that the money you contribute is not subject to income tax. Additionally, the growth of investments within the 401(k) account is tax-deferred until you make withdrawals in retirement.
C) Your employer may match some of your 401(k) contributions: Many employers offer a matching contribution to their employees' 401(k) plans. This means that for every dollar you contribute to your 401(k), your employer will contribute a certain percentage, up to a specified limit.
D) You can contribute more money into a 401(k) than into an IRA: 401(k) plans generally allow for higher contribution limits compared to Individual Retirement Accounts (IRAs).
In 2021, the annual contribution limit for a 401(k) is $19,500 (with an additional $6,500 catch-up contribution for individuals aged 50 or older).
In contrast, the annual contribution limit for an IRA is $6,000 (with an additional $1,000 catch-up contribution for individuals aged 50 or older). The higher contribution limits of a 401(k) allow individuals to save more for retirement on a tax-advantaged basis.
In summary, the correct answer is B. The ability to invest in a wider variety of asset types is not an advantage of a 401(k) plan. However, the other options listed (A, C, and D) are all advantages of a 401(k) plan.
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Simplify. witch answer would it be A, B, C, OR D
Answer:
the answer is C
Step-by-step explanation:
any negative power is the reciprocal
so m^(-2) = 1/m^2
and so on
1/n^(-3) = n^(3)
What is the greatest common factor of 6, 34, and 2?
Answer: 2
Step-by-step explanation:
List the factors(numbers that multiply to make that number for each number
6: 1, 2, 3, 6
34: 1, 2, 16, 34
2: 1, 2
Whichever is the factor that is the greatest that they all have in common is your greatest common factor.
2
Given that ΔA′B′C′ is a dilation of ΔABC, how are the angles and side lengths of the preimage and image related?
A. The angles are congruent and the side lengths are congruent.
B. The angles are congruent and the side lengths are proportional.
C. The angles are proportional and the side lengths are congruent.
D. The angles are proportional, and the side lengths are proportional.
When a dilation is performed on a triangle, the angles and side lengths of the preimage and image are related in a specific way. The correct answer is B. The angles are congruent, and the side lengths are proportional.
In a dilation, each corresponding angle of the preimage and image triangles is congruent. This means that if an angle in the preimage triangle measures 60 degrees, the corresponding angle in the image triangle will also measure 60 degrees.
However, the side lengths of the preimage and image triangles are not necessarily congruent. Instead, they are proportional. This means that the ratio of corresponding side lengths remains constant throughout the dilation. For example, if one side of the preimage triangle is twice as long as another side, the corresponding side in the image triangle will also be twice as long as its corresponding side.
It's important to note that the center of dilation and the scale factor determine the specific proportions between the side lengths. The scale factor represents the ratio of corresponding side lengths in the preimage and image triangles.
Therefore, in a dilation, the angles are congruent, and the side lengths are proportional.
The right answer is B. The angles are congruent and the side lengths are proportional.
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Secondary School class 25
Pupile Study Economics, 5 pupils study
both Government and Economics. 48 PUA
Study either Government or
in ven diagram
Economic s
1) What is
the total number of peoplis puple
who study Grovernment?
economics)
(3) How
(2) How many poeples Study Only
many pupils Study only Goverment
. In ven diagram
Answer:
21
Source:
trust me bro
Find the
approximate height difference between the birdhouse
and the tree house. Is it greater than or less than the
approximate difference in height between the swing
set and the tree house? Round each mixed number to
the nearest whole number.
HELP???
The approximate height difference between the birdhouse and the tree house is 3 ft.
It is less than the approximate difference in height between the swing set and the tree house.
How to find the approximate height difference between the birdhouse and the tree house?A fraction represents the parts of a whole or collection of objects e.g. 3/4 shows that out of 4 equal parts, we are referring to 3 parts.
We have:
height of birdhouse = 14[tex]\frac{9}{16}[/tex] ft
height of tree house = 11[tex]\frac{13}{16}[/tex] ft
Thus, the approximate height difference between the birdhouse and the tree house will be:
14[tex]\frac{9}{16}[/tex] ft - 11[tex]\frac{13}{16}[/tex] = 2[tex]\frac{3}{4}[/tex] ft
= 2.75 ft
= 3 ft
To determine if it is greater than or less than the approximate difference in height between the swing set and the tree house, we have to find the approximate difference in height between the swing set and the tree house. That is:
height of swing set = 8[tex]\frac{1}{4}[/tex] ft
height of tree house = 11[tex]\frac{13}{16}[/tex] ft
difference = 11[tex]\frac{13}{16}[/tex] - 8[tex]\frac{1}{4}[/tex]
= 3[tex]\frac{1}{2}[/tex]
= 3.5
= 4 ft
Therefore, it is less than the approximate difference in height between the swing set and the tree house
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A boat travels with velocity vector (25, 25√3). What is the directional bearing of the boat?
ON 30° E
OE 30° S
OE 30° N
ON 30° W
In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.
How can the directional bearing of the boat be determined?The given velocity vector are; 25 and 25√3)
horizontal components =25
vertical components =25√3
Then the angle
Tan(θ) = {vertical component / horizontal component }
= 25√3 / 25
= √3 / 1
= √3
Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E
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prove that
(z^a/z^b)^c * (z^b/z^c)^a * (z^c/z^a)^b =1
Step-by-step explanation:
remember, when we multiply the same base, we add the exponents, when we divide the same base we subtract the exponents.
when we have exponent of exponent, we multiply the exponents.
so,
the expression is
(z^ac / z^bc) × (z^ab / z^ac) × (z^bc / z^ab) = 1
we have in there the commutative and associative properties of multiplication : the sequence of operands do not matter at all.
and therefore we have in there the terms :
z^ac / z^ac
z^bc / z^bc
z^ab / z^ab
all three are 1
and so the main expression is
1 × 1 × 1 = 1
which is true, of course, and therefore the original equation is true.
In AEFG we know that m/F = 75° and m/G=45°. Which of the following is the measure
of E? Show how you found your answer.
(1) 40°
(2) 55°
(3) 60°
(4) 70°
Answer:
(3) 60°
Step-by-step explanation:
You want the measure of the third angle (E) in triangle EFG, given that two of the angles have measures 75° (angle F) and 45° (angle G).
Angle sum theoremThe angle sum theorem tells you the sum of angles in any triangle is 180°. This means ...
E + F + G = 180
E + 75 + 45 = 180
E = 60 . . . . . . . . . . . . . subtract 120 from both sides and simplify
The measure of angle E is 60°.
<95141404393>
Determine the equation of the circle graphed below.
-12-11-10-9-8-7 -5-4-3-2
11098765432-
hadis
-2
-9
-10
-11
123456
8 9 10 11 12
(8,-2)
Answer:
(x - 3)² + (y + 4)² = 29
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
we have the coordinates of the centre but require to find the radius r
the radius is the distance from the centre to a point on the circle.
using the distance formula to find r
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (3, - 4 ) centre and (x₂, y₂ ) = (8, - 2) point on circle
r = [tex]\sqrt{(8-3)^2+(-2-(-4))^2}[/tex]
= [tex]\sqrt{5^2+(-2+4)^2}[/tex]
= [tex]\sqrt{25+2^2}[/tex]
= [tex]\sqrt{25+4}[/tex]
= [tex]\sqrt{29}[/tex]
then equation with centre (3, - 4 ) and r = [tex]\sqrt{29}[/tex] , is
(x - 3)² + (y - (- 4) )² = ([tex]\sqrt{29}[/tex] )² , that is
(x - 3)² + (y + 4)² = 29
Mrs.Stacey's class has 5 pieces of artwork on their bulletin board.each piece of artwork is 8.5 by 11 inches. The bulletin board is 48 inches by 48 inches.How much of the bulletin board is NOT covered with art work?
Answer:
1836.50 square inches of the bulletin board is NOT covered with art work.
Step-by-step explanation:
The question focuses on the area covered by the paintings and the board, since area is defined as: the amount of space enclosed within the boundaries of a flat, two-dimensional shape, such as a square, circle, or rectangle.
Step 1: First, we need to know the total area of the five paintings.
We can assume that every piece of artwork is a rectangle since the dimensions are different and only two dimensions are given. Thus, we can find the total area by multiplying the area of one piece of artwork by 5:The formula for area of a rectangle isA = lw, where
A is the area in square units, l is the length,and widthWe can allow 8.5 to be the length and 11 to be the width:
A = 8.5 * 11
A = 93.5 square inches
Multiplying 93.5 by 5 shows us the the total area covered by the five pieces of artwork is 467.50 square inches as 93.5 * 5 = 467.50
Step 2: Now we need to find the area of the bulletin board.
We can assume that the board is a square since the dimensions are the same and only two dimensions are given.The formula for area of a square isA = s^2, where
A is the area in square units,and s is the side48 is s in the area formula:
A = 48^2
A = 2304 square inches
Thus, the area of the bulletin board is 2304 square inches.
Step 3: Finally, subtracting the total area of the five pieces of artwork from the area of the bulletin board will tell us how much of the bulletin board is NOT covered with art work:
2304 - 467.50 = 1836.50 square inches
Thus, 1836.50 square inches of the bulletin board is not covered with art work.
will mark brainleist pls help me
we know that,
★ The sum of the angles in a triangle is always 180° ...
➺ 100° + 46° + x = 180°➺ 146° + x = 180°➺ x = 180°- 146° ➺ x = 34°__________________________________
Thus, the Value of x is 34°.
Answer:
34°Step-by-step explanation:
We know that,
Sum of three side of triangle is 180°
so,
100° + 46° + x = 180°
146° + x = 180°
x = 180° - 146°
x = 34°
[tex]\underline{\rule{190pt}{4pt}}[/tex]
50 Points! Multiple choice algebra question. Thank you!
The expression that is equivalent to the trigonometry ratio (sin²θ + cos²θ)/tan²θ is (a) cot²θ
How to determine the expression that is equivalent to the trigonometry ratioFrom the question, we have the following parameters that can be used in our computation:
The trigonometry ratio given as
(sin²θ + cos²θ)/tan²θ
In trigonometry,
sin²θ + cos²θ = 1
So, we have the following representation
(sin²θ + cos²θ)/tan²θ = 1/tan²θ
Evaluate the quotient
(sin²θ + cos²θ)/tan²θ = cot²θ
Hence, the expression that is equivalent to the trigonometry ratio is (a) cot²θ
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Solve the simultaneous equations using elimination method= x+2y-3z=0 3x+3y-z = 5 x-2y = 2z=1
Answer:
[1;1;1]
Step-by-step explanation:
try this option; all the details are in the attachment.
Find x pls hurry lots of points
The area of the triangle in the shaded region is derived to be 29.75 square inches.
How to solve for the area of the triangleFor any triangle, the area is calculated as half the base multiplied by the height of the triangle, that is;
Area of triangle = 1/2 × base × height
For the triangle in the shaded region;
base = 8.5 inches
height = 7 inches
area of the triangle = 1/2 × 8.5 in × 8.5 in
area of the triangle = (59.5/2) in²
area of the triangle = 29.75 in²
Therefore, the area of the triangle in the shaded region is derived to be 29.75 square inches.
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The dot plots show the ages of people at two different movies at a school movie night. Which data set seems to have a greater variability? (find the MAD scores)
Answer:
Step-by-step explanation:
5. A movie is made of a series of still images called frames. A standard rate for a movie is 24 frames per second. Two movies, A and B, each last 100 minutes. Movie A was filmed at the standard rate. Movie B was filmed at 30 frames per second. Movie B has what percent more frames than movie A? Movie B has what frames than movie A.
Movie B has approximately 25% more frames than Movie A.
For Movie A the duration is 100 minutes
Frame rate: 24 frames per second
Total frames in Movie A:
Total frames in Movie A = 100×60×24
Movie B:
Duration: 100 minutes
Frame rate: 30 frames per second
Total frames in Movie B:
Total frames in Movie B = 100 × 60 × 30
To find the percent more frames in Movie B compared to Movie A, we can use the following formula:
Percent more frames = ((Total frames in Movie B - Total frames in Movie A) / Total frames in Movie A) × 100
Total frames in Movie A = 100 × 60× 24
Total frames in Movie B = 100 ×60 × 30
Percent more frames = ((Total frames in Movie B - Total frames in Movie A) / Total frames in Movie A) × 100
Percent more frames = ((100 × 60× 30) - (100 × 60×24)) / (100 × 60× 24)×100
Percent more frames = (180,000 - 144,000) / 144,000 * 100
Percent more frames = 36,000 / 144,000 * 100
Percent more frames = 25%
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what is the area,in square centimeters
Answer:
11.9 sq cm, answer choice C.
Step-by-step explanation:
Area of a parallelogram = base x height.
The base is 4.25 cm, and the height is 2.8 cm. The other measurement is not needed.
area = 4.25 x 2.8 = 11.9 sq cm, answer choice C.
11. Descartes is thinking of a number that when he multiplies it by 9, he gets the number he is thinking of. What number is Descartes thinking of? brainly
Descartes must be thinking of the number 0.
Now, Let's call the number Descartes is thinking of "x".
Hence, According to the problem, if Descartes multiplies "x" by 9, he gets "x" back. In other words, 9 times "x" is equal to "x".
So we can write this as an equation:
⇒ 9x = x
Now we need to solve for "x". We can start by subtracting "x" from both sides of the equation:
⇒ 9x - x = 0
⇒ 8x = 0
divide both sides by 8 to get:
⇒ x = 0
Thus, Descartes must be thinking of the number 0.
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Please help me with solving for x
Step-by-step explanation:
For some side x, we are given two angles so let use law of sines
We don't know the angle opposite of the x side so we using the triangle interior property
[tex]120 + 51 + x = 180[/tex]
[tex]x = 9[/tex]
So the missing angle is 9.
The law of sines formula is that
[tex] \frac{a}{ \sin( \alpha ) } = \frac{b}{ \sin( \beta ) } [/tex]
where a and b are side lengths.
And alpha, and Beta are angles that are OPPOSITE of the side lengths, a and b, respectively
Let a be 25,
therefore alpha is 120
Let b be x,
therefore beta is 9.
[tex] \frac{25}{ \sin(120) } = \frac{x}{ \sin(9) } [/tex]
Solving for x.
[tex]25 \times \frac{ \sin(9) }{ \sin(120) } = x[/tex]
[tex]x = 4.51587[/tex]
Round if needed so our answer is
[tex]x = 4.5[/tex]
100 Points! Geometry question. Photo attached. Determine whether the pair of triangles is similar. If so, write a similarity statement. If not, what would be sufficient to prove the triangles similar? Explain your reasoning. Please show as much work as possible. Thank you!
The pair of triangles shown can be seen to be similar by SAS.
What is similarity of triangles by SAS?
When comparing two triangles, one way to tell if they are similar is to apply the SAS (Side-Angle-Side) similarity criterion. This criterion states that two triangles are comparable if they have two pairs of corresponding sides in proportion and congruent included angles between those sides.
Triangles must have an equal ratio of their matching sides' lengths. The respective sides' included angles must be equivalent.
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Can anyone help please asap, I need the work shown for this too. I don’t understand
Based on the given values, the value of A is given as 5
How to solveTo find the value of A, we need to solve the equation for the expected value, E(X) = 5.75, using the provided probabilities and x values.
The expected value formula is:
E(X) = Σ[x * P(x)]
Plugging in the given values:
5.75 = (4 * 0.15) + (A * 0.55) + (8 * 0.3)
To solve for A, we can first simplify the equation:
5.75 = 0.6 + 0.55A + 2.4
Now, combine constants and subtract from the left side:
2.75 = 0.55A
Finally, divide by 0.55 to find the value of A:
A = 2.75 / 0.55 ≈ 5
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A lady paid 20% deposit $1100 the cost of a bicycle. How much does she have to pay to complete the price
What is the equation, in point-slope form, of the line that
is perpendicular to the given line and passes through the
point (-4,-3)?
y + 3 = -4(x + 4)
y + 3 =(x+4)
Y + 3 = ¹/(x+4)
y + 3 = 4(x + 4)
An equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4,-3) is: C. y + 3 = 1/4(x + 4) .
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-3 - 1)/(0 + 1)
Slope (m) = -4
m₁ × m₂ = -1
-4 × m₂ = -1
m₂ = -1/-4
Slope, m₂ = 1/4
At data point (-4, -3) and a slope of 1/4, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y + 3 = 1/4(x + 4)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.