Answer:
The answer is 12
Step-by-step explanation:
We will have to follow the rule of PEDMAS which states:
P - Parenthesis
E - Exponents
D - Division
M - Multiplication
A - Addition
S - Subtraction
This means the equation in the parenthesis should be solved first,
(25 - 5) = 20
It should be divided by 5
20 ÷ 5 =4
4 should be added to 8
4 + 8 = 12
Therefore,
(25 - 5) ÷ 5 + 8 = 12
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Hope this helps!
If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms?
Answer:
The probability is \(P(\= X < 40.4) = 0.84134\)
Step-by-step explanation:
From the question we are told that
The mean is \(\mu =40 \ \Omega\)
The standard deviation is \(\sigma = 2 \ \Omega\)
The sample size is n = 25
The combined resistance is \(\sum x_i = 1010 \ \Omega\)
Generally the sample mean is mathematically represented as
\(\= x = \frac{\sum x_i }{n}\)
=> \(\= x = \frac{1010 }{25}\)
=> \(\= x = 40.4 \ \Omega\)
Generally the standard error of the mean is mathematically represented as
\(\sigma_{x} = \frac{\sigma }{\sqrt{n} }\)
=> \(\sigma_{x} = \frac{ 2 }{\sqrt{25} }\)
=> \(\sigma_{x} = 0.4\)
Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as
\(P(\= X < 40.4) = P( \frac{\= X - \mu }{\sigma_{x }} < \frac{ 40.4 - 40 }{0.4} )\)
\(\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )\)
\(P(\= X < 40.4) = P( Z < 1 )\)
From the z table the area under the normal curve to the left corresponding to 1 is
\(P(\= X < 40.4) = P( Z < 1 ) = 0.84134\)
\(P(\= X < 40.4) = 0.84134\)
Jemma and Debra work as consults. They both get hired for jobs. Jemma charges a fee of $5 plus an additional $22 per hour. Debra charges $20 per hour. Write an expression that
Answer:
Jemma: 22x + 5
Debra: 20x
Step-by-step explanation:
The director of student life at a university wants to estimate the proportion of undergraduate students who regularly park a car on campus. Describe how to select a stratified random sample of approximately 100 students. Explain your choice of strata and why stratified random sampling might be preferred in this context.
Random sampling involves selecting a sample where each element of the sample have an equal probability of selection.
From the question, we understand that the director wants to make use of a stratified random sampling technique.
The stratified random sampling technique involves selecting the sample (i.e. 100 students), by dividing the whole undergraduate students into groups (i.e. strata), and then select a proportion from each group.
A possible way to achieve this, is as follows:
Divide the undergraduate students in faculties (assume the university has 10 faculties)Then select 10 students from each of the 10 faculties.With the above highlights, the director would be able to make the selection.
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What is the answer?? 3(b-5)<-2b
Answer:
b < 3
Step-by-step explanation:
3 ( b - 5 ) < - 2b
3 ( b ) - 3 ( 5 ) < - 2b
3b - 15 < - 2b
3b + 2b < 15
5b < 15
b < 15/5
b < 3
PLSSS HELP THIS IS MATH!!!
Answer:
The equation that represents the situation is: 30w = 150.
Step-by-step explanation:
We can set up an equation to find the value of w:
30w = 150
To solve for w, we can divide both sides of the equation by 30:
w = 150 / 30
w = 5
So April walks dogs for 5 weeks to earn $150.
Which two expressions are equivalent? B. A 4(2 + x) 4.2 +2.x 4 + 2 + x (4 + 2) + X D. C. 4. X + 2 4. (x + 2) 4 = (2-x) 4- 2 = X
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
A triangle is shown with its exterior angles and the interior angles of the triangle are angles 2, 3, 5. The true statements are m∠3 + m∠4 + m∠5 = 180°, m∠5 + m∠6 = 180°, and m∠2 + m∠3 = m∠6. The correct answers are B, C, and E.
We know that the sum of the measures of the interior angles of a triangle is always 180 degrees. We can use this fact, along with the properties of exterior angles of a triangle, to determine which statements are always true regarding
m∠5 + m∠3 = m∠4 This statement is not always true. It is only true in this case because angle 4 is an exterior angle at vertex 3, which means that m∠4 = m∠3 + m∠5. Therefore, m∠5 + m∠3 = m∠3 + m∠5, which simplifies to m∠5 = m∠5. However, in general, this statement is not always true.
m∠3 + m∠4 + m∠5 = 180° This statement is always true, because the sum of the measures of the three exterior angles of a triangle is always 360 degrees. Therefore, m∠3 + m∠4 + m∠5 = 360°, which simplifies to m∠3 + m∠4 + m∠5 = 180°.
m∠5 + m∠6 = 180° This statement is always true, because the sum of an exterior angle and its adjacent interior angle is always 180 degrees. Therefore, m∠5 + m∠6 = m∠1 (because angle 1 is an exterior angle at vertex 2), and m∠1 + m∠2 + m∠3 = 180° (because the sum of the measures of the interior angles of a triangle is 180 degrees). Therefore, m∠5 + m∠6 = m∠2 + m∠3, which is equal to 180° (because m∠2 + m∠3 = m∠1, and m∠5 + m∠6 = m∠1).
m∠2 + m∠3 = m∠6 This statement is not always true. It is only true in this case because angle 6 is an exterior angle at vertex 5, which means that m∠6 = m∠5 + m∠3. Therefore, m∠2 + m∠3 = m∠2 + m∠5 + m∠3, which simplifies to m∠2 + m∠3 = m∠5 + m∠3. Then, by subtracting m∠3 from both sides, we get m∠2 = m∠5. However, in general, this statement is not always true.
m∠2 + m∠3 + m∠5 = 180°: This statement is always true, because the sum of the measures of the interior angles of a triangle is always 180 degrees. Therefore, m∠2 + m∠3 + m∠5 = 180°.
Based on the above analysis, the statements that are always true regarding the diagram are
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 = 180°
m∠2 + m∠3 + m∠5 = 180°
Therefore, the correct options are B, C, and E.
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(1) y - 11 = 4
(2) y = 2x + 3
Answer:
y = 15 , x = 6
Step-by-step explanation:
you can easily find y from first equation
Move y to the other side of the equation and reverse its sign
so (-11) changes to (+11) and now we have this equation
y = 15
now you must replace 15 instead of y in second equation ,then we have this equation
15 = 2x + 3
now we have to find x
move (+3) to other side of equation and reverse its sign
(+3) changes to (-3)
we have this equation now
15 - 3 = 2x
12 = 2x
x = 12 ÷ 2 = 6
Use the following table below, which represents the average rainfall in Orlando to answer this questions:
Month
Jan.
Feb.
Mar.
Apr.
May
June
July
Aug
Sep.
Oct.
Nov:
Dec.
Avg. Rainfall 2.55
1.24
.98
1.87
3.54
5.27
6.31
6.20
5.00
3.23
1.64
193
Use the rainfall table above and your graphing calculator to find the
sinusodal regression equation to model the data.
Answer:
me no understand plz ask a teacher
The mayor of a small town is trying to determine the change in population of his town over time. Which type of graph would best represent the data in the table? Year Population 1990 10,350 1995 10,750 2000 11,150 2005 11,500 2010 11,650 bar graph line graph line plot stem and leaf plot
Answer:
I think the best is: Year Population 1990 10,350 1995 10,750 2000 11,150 2005 11,500 2010 11,650.
Step-by-step explanation:
It shows the population of each year.
Hope this helps...
Please mark me brainliest ♥️
Answer:
line graph
Step-by-step explanation:
edge 2022
Which box plot best represents the data?
The box plot that best represents the data is given as follows:
Box plot C.
What does a box and whisker plot shows?A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:
The minimum non-outlier value.The 25th percentile, representing the value which 25% of the data-set is less than and 75% is greater than.The median, which is the middle value of the data-set, the value which 50% of the data-set is less than and 50% is greater than%.The 75th percentile, representing the value which 75% of the data-set is less than and 25% is greater than.The maximum non-outlier value.The ordered data-set for this problem is given as follows:
0, 4, 4, 5, 6, 6, 8, 8, 12, 12.
The minimum and maximum values are given as follows:
Minimum of 0.Maximum of 12.The two middle elements are given as follows:
6 and 6.
Hence the median is:
(6 + 6)/2 = 6.
The first half is 0, 4, 4, 5, hence the first quartile is given as follows:
4.
The second half is 8, 8, 12, 12, hence the third quartile is given as follows:
8.
Hence box plot C is the correct option.
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Ayudaaaaaaaaaaa.............
What is the qoutient of 6 and -1/2?
Answer:
5.5
Step-by-step explanation:
x(x+1)(x+3)(x+5)-x(x+3)(x+5)
Answer:
x4+8x3+15x2 this is the answer
Polynomials with common terms can be factorized using the distributive property.
The result of \(x(x+1)(x+3)(x+5)-x(x+3)(x+5)\) is: \(-(x+3)(x+5)(x+1)(x-1)\)
Given
\(x(x+1)(x+3)(x+5)-x(x+3)(x+5)\)
Rewrite as:
\(x(x+1)(x+3)(x+5)-x(x+3)(x+5) = x(x+1)\times (x+3)(x+5)-x \times (x+3)(x+5)\)
Factor out the common terms, (x + 3) and (x + 5)
\(x(x+1)(x+3)(x+5)-x(x+3)(x+5) = (x+3)(x+5)[x(x+1)-x]\)
Factor out x
\(x(x+1)(x+3)(x+5)-x(x+3)(x+5) = (x+3)(x+5)[(x+1)(1-x)]\)
Rewrite as:
\(x(x+1)(x+3)(x+5)-x(x+3)(x+5) = -(x+3)(x+5)[(x+1)(x-1)]\)
Remove the square brackets
\(x(x+1)(x+3)(x+5)-x(x+3)(x+5) = -(x+3)(x+5)(x+1)(x-1)\)
Hence, the result of \(x(x+1)(x+3)(x+5)-x(x+3)(x+5)\) is:
\(-(x+3)(x+5)(x+1)(x-1)\)
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graph g(x) = 5|x-6| + 2
Answer + Step-by-step explanation:
\(f(x) = 5|x-6|+2 = \begin{cases}5\left( x-6\right) +2&if\ x\geq 6\\ 5\left( 6-x\right) +2 &if\ x\leq 6\end{cases}\)
\(\Longrightarrow f(x) = \begin{cases}5x-30+2&if\ x\geq 6\\ 30-5x +2 &if\ x\leq 6\end{cases}\)
\(\Longrightarrow f(x) = \begin{cases}5x-28&if\ x\geq 6\\ -5x +32 &if\ x\leq 6\end{cases}\)
case 1: x ≥ 6 → f(x) = 5x - 28
5(6) - 28 = 30 - 28 = 2
Then
the point A(6 ,2) lie on the graph (line) of f
5(7) - 28 = 35 - 28 = 7
Then
the point B(7 ,7) lie on the graph (line) of f
Graphing :
When x ≥ 6 ,the graph of f is the ray [AB) (just connect the points A and B)
case 2: x ≤ 6 → f(x) = -5x + 32
-5(6) +32 = -30 + 32 = 2
Then
the point A(6 ,2) lie on the graph (line) of f
-5(5) +32 = -25 + 32 = 7
Then
the point C(5 ,7) lie on the graph (line) of f
Graphing :
When x ≤ 6 ,the graph of f is the ray [AC) (just connect the points A and C)
answer pls i will give brainliest!
Answer:
surface tension
Step-by-step explanation:
It seems to defy the laws of physics, but a paper clip made of steel can indeed float on the water surface. The high surface tension helps the paper clip - with much higher density - float on the water.
The cohesive forces between liquid molecules are responsible for the phenomenon known as surface tension. The molecules at the surface of a glass of water do not have other water molecules on all sides of them and consequently they cohere more strongly to those directly associated with them (in this case, next to and below them, but not above). It is not really true that a "skin" forms on the water surface; the stronger cohesion between the water molecules as opposed to the attraction of the water molecules to the air makes it more difficult to move an object through the surface than to move it when it is completely submersed.
Last year there were 80 fish in the lake. What is the population this year? If you get stuck, consider drawing a diagram.
Answer:
If they each mate shouldn't you have about 120
Step-by-step explanation:
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis.?
y + 2 =y plus 2 equals StartFraction one-third EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)
y – 2 = y minus 2 equals StartFraction one-third EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
y + 3 = y plus 3 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
y – 3 = y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis.(x – 2)
The equation that shows the point-slope form of the line passing through (3, 2) with a slope of (1/2) is:
y - 2 = (1/2)(x - 3)
In the point-slope form of a linear equation, the formula is y - y1 = m(x - x1), where (x1, y1) represents a point on the line, and m represents the slope of the line. By substituting the given values into the formula, we can determine the correct equation.
In this case, the given point is (3, 2) and the slope is (1/2). Plugging these values into the formula, we get:
y - 2 = (1/2)(x - 3)
This equation represents the line passing through the point (3, 2) with a slope of (1/2). It is in the point-slope form, which allows us to easily determine the equation of a line based on a given point and slope.
Therefore, the correct equation is y - 2 = (1/2)(x - 3).
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Answer: B
Step-by-step explanation:
The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches
Explain why the denominator does not change when you are counting by the
unit fraction 1
··4
to reach 3
··4 .
Answer: Your splitting 1 into 4 parts and I don't think anything here tells me you need to simplify bc then it would be, 1/2, which is not 3/4. It's like having one quarter that equals 25c, 50, 75, a 1.00, but it's 0.25 and 0.75?
Step-by-step explanation:
Can you help me with this ?
This question is of a topic called subset that is a part of set theory.
statement 1 is true. statement 2 is true. statement 3 is false, statement 4 is true.
I assume the questioner has the basic understanding of set theory and what subsets are.
Statement 1st "{1,2,3,4,5} ⊄ {1,2,4}" is true because here not every element of set {1,2,3,4,5} is an element of set {1,2,4}.
Statement 2nd "{11, 13, 15} ⊂ { 11, 12, 13, 14, 15, 16, ... }" that is set {11, 13, 15} is a proper subset of set { 11, 12, 13, 14, 15, 16, ... } is true since every element of set {11, 13, 15} belongs to set { 11, 12, 13, 14, 15, 16, ... } also set
{11, 13, 15} is not equal to set { 11, 12, 13, 14, 15, 16, ... }.
statement 3rd "∅ ⊈ {d, f, g, n}" is false since ∅ = null set is the subset of every set.
statement 4th "{21, 22, 23, 26, 29} ⊆ {21, 22, 23, 26, 29}" is true both sets have same elements therefore are subsets of each other and hence both are also equal to each other.
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Negative 4X exponent 11 times 3X exponent -3
Answer:
\(-12x^{8}\)
Step-by-step explanation:
\(-4x^{11} * 3x^{-3}\)
combine like terms:
\(-12x^{11-3}\\-4 x 3 = 12\\11 - 3 = 8\\-12x^{8}\)
nothing further can be done
Let me know if you have any questions !!
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
pls quickly help:
Aviva says that the solutions to 2x + y =5 can be expressed on a number line. Is she
correct? Explain
By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of:
federalism
individual rights
checks and balances
republicanism
By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of: D. republicanism.
What is federalism?Federalism simply refers to a form of government in which the federal government and other institutional bodies such as states, towns, smaller units, and provinces share power and authority.
What is republicanism?Republicanism can be defined as a form of government that is centered around citizenship in a state and emphasizes their participation for the common good of a geographical area such as states, towns, and other smaller units in a colony.
This ultimately implies that, republicanism involves citizens selecting their representatives (delegates) from each town in a colony, especially through an electoral process such as in Article 8, Fundamental Orders of Connecticut.
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Answer:
republicanism
Step-by-step explanation:
mart math math math math
Explanation:
Segment AW bisects angle CAD.
This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.
Therefore, angle CAD = 40 degrees.
The supplement of this is angle DAX
(angle CAD) + (angle DAX) = 180
angle DAX = 180 - (angle CAD)
angle DAX = 180 - 40
angle DAX = 140 degrees
Simplify. (32+1)×2 Enter your answer in the box.
Mary is 4 years older than Sue. If the sum of their ages is 16. How would you set up the equations?
Answer:
A. x=y-4, x+y=16
C. x=y-4, x+y=16
Explanation:
• Let Sue's age = x
Mary is 4 years older than Sue, therefore:
• Mary's age, y = x+4
\(\begin{gathered} y=x+4 \\ \implies x=y-4 \end{gathered}\)Next, the sum of their ages is 16. This gives:
\(x+y=16\)Therefore, the equation is:
\(\begin{gathered} x=y-4 \\ x+y=16 \end{gathered}\)The correct choices are A and C.
A coin is tossed, and a die is rolled. Find the probability of getting heads and then rolling a 6.
Answer:
1/2 and 1/6
Step-by-step explanation:
All rectangles are parallelograms. Are all parallelograms
rectangles? Explain.
Answer: No
Step-by-step explanation: a rectangle can be a parallelogram because it qualifies to be a parallelogram however a parallelogram can’t be a rectangle because a rectangle has all 90 degree angles and that opposite sides can be equal and parallelograms come in different forms