Answer:
6
-16
-5
0
Step-by-step explanation:
Step-by-step explanation:
(-2) + (+8) = 6
(-9) + (-7) = -16
(-4) + (-9) = -5
(-7) + (+7) = 0
Tell wether 3 is a solution of each inequality
x-7> -5; x = 3
-3x< - 12.5 ; x=3
evalute 4+ (-2)-(-3)-6
according to government data, 22 percent of children in the united states under the age of 6 years live in households with incomes that are classified at a particular income level. a simple random sample of 300 children in the united states under the age of 6 years was selected for a study of learning in early childhood. if the government data are correct, which of the following best approximates the probability that at least 27 percent of the children in the sample live in households that are classified at the particular income level? (note: z represents a standard normal random variable.)
The probability that at least 27 percent of the children in the sample live in households that are classified at the particular income level is approximately 0.04.
What is the binomial distribution?
In a binomial distribution, the probability of getting success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.
To approximate the probability that at least 27 percent of the children in the sample live in households that are classified at the particular income level, we can use a normal approximation to the binomial distribution.
The sample size is n = 300 and the proportion in the population is p = 0.22. The standard deviation of the sample proportion is:
\(\sigma_{p}\) = √(p(1-p)/n) = √(0.22(1-0.22)/300) = 0.0115
We can use the standard normal distribution to approximate the probability that the sample proportion is at least 0.27:
\(P(p_{hat} > = 0.27) \approx P( (p_{hat} - p) / \sigma_{p} > = (0.27 - 0.22) / 0.0115 )\)
P(z >= 1.74)
where z is the standard normal variable.
We can use a standard normal table or calculator to find the probability for z >= 1.74 is about 0.04.
Hence, the probability that at least 27 percent of the children in the sample live in households that are classified at the particular income level is approximately 0.04.
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If f(x)
=
OA.
A.
2+1, what is the value of f-¹ (3)?
22
B. 19
OB.
C.
O D.
13
OE. 11
The value of the inverse function f-¹ (3) is (e) 11
Calculating the value of the inverse functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x - 8
To calculate the inverse value at f-¹ (3)
We set the value to 3
using the above as a guide, we have the following:
x - 8 = 3
Evaluate the like terms
x = 11
Hence, the value of the inverse function is (e) 11
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Complete question
if f(x) = x - 8, what is the value of f-¹ (3)?
A regular pentagon has an area of 118.25 square meters, and each side of the pentagon measures 4.3 meters.
What is the length of an apothem of the pentagon?
Enter your answer in the box.
m
The length of the apothem of the pentagon is approximately 11 meters.
What is a polygon?Polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,
Examples of polygons, equilateral triangles, squares, pentagons etc.
Here, we have,
To solve this problem, we can use the formula for the area of a regular pentagon:
A = (5/2) × s × a
Where A is the area of the pentagon, s is the length of one side, and a is the apothem (the distance from the center of the pentagon to the midpoint of a side).
We know that the area of the pentagon is 118.25 square meters and the length of one side is 4.3 meters. We can substitute these values into the formula and solve for the apothem:
118.25 = (5/2) × 4.3 × a
Divide both sides by (5/2) x 4.3:
a = 118.25 / ((5/2) × 4.3)
= 118.25 / 10.75 ≈ 11 meters
Therefore, the length of the apothem of the pentagon is approximately 11 meters.
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#9
Find the distance between the points A(13, 2) and B(7, 10).
The distance between the twd points is
I HOPE IT WILL HELP YOU.
Thank you.
\( \sf{ \boxed{ \bold{\red{d} = 10 \: units}}}\)
\( \\ \)
Explanation:The distance between two points is given by the following formula:
\( \sf{\red{d} = \sqrt{ ({\green{x_B} - \orange{x_A })}^{2} + {( \blue{y_B} - \pink{y_A}) }^{2} }}\)
\( \\ \)
Where:
\( \sf{ \implies \red{d} \: is \: the \: distance \: between \: the \: points.} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \sf{ \implies{(\orange{x_A} \: , \pink{y_A})} \: and \: ( \green{x_B} \: , \blue{y_B}) } \: are \: the \: coordinates \: of \: the \: points.\)
\( \\ \)
Let's replace the coordinates with their values:
\( \sf{\red{d} = \sqrt{ ({\green{7} - \orange{13})}^{2} + {( \blue{10} - \pink{2}) }^{2} }} \\ \\ \sf{ \Longleftrightarrow \: \red{d} = \sqrt{{( - 6)}^{2} + {8}^{2} }} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \Longleftrightarrow \sf{ \red{d} = \sqrt{36 + 64} = \sqrt{100} = \boxed{10}} \: \: \: \: \: \)
Therefore, the distance between the two points is 10 units.
\( \\ \\ \)
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-9a-2(9a-5) need help
Answer: -81a^2 + 27a + 10
Step-by-step explanation: We can do this question by using FOIL (first, outer, inner, last)
(-9a-2)(9a-5)
First, multiply the first two terms in the parentheses
-9a times 9a is -81a^2
Second, multiply the outer terms
-9a times -5 is 45a
Third, multiply the inner terms
-2 times 9a is -18a
And lastly, multiply the last terms
-2 times -5 is 10
After doing this we end up with -81a^2 + 45a - 18a + 10 = -81a^2 + 27a + 10
.............llllllllllllllllwwwwwwww
Answer:
wwwwwwwwwwwwwwwwwww
Which graph represents this system?
3x+2y=-6
y=-3/2x+2
Answer: look at the picture
Step-by-step explanation: hope this help:)
NO LINKS!! URGENT HELP PLEASE!!
Answer:
Step-by-step explanation:
1)
Congruency shortcuts:
HL, SSS, SAS, ASA, and AAS
where S=side
A=angle
H=hypotenule
L=leg
HL is only for a right triangle
If you can prove sides and angles are congruent according to those 5 rules, you have proven the triangles are congruent
Similarity shortcuts:
AA, SAS, SSS
We have triangle similarity if (1) two pairs of angles are congruent (AA) (2) two pairs of sides are proportional and the included angles are congruent (SAS), or (3) if three pairs of sides are proportional (SSS)
2)
BG ≅ GD >Given from image
IG ≅ GO >Given from image
<BGI ≅ <DGO >Vertical Angles
ΔBGI ≅ ΔDGO >SAS
You have proven that the triangles are congruent because you used the shortcut by proving a side and angle and a side are congruent so SAS makes them congruent
Summarizing allows you to focus on the important information by finding the introduction, topic sentence and
conclusion.
Please select the best answer from the choices provided
True or false
True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.
Importance of summarySummarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.
This process enables the reader to grasp the core message of the text quickly and efficiently.
By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.
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the cone shaped game piece is made of metal with a mass of 9.2g/cm3 what is the mass of the game piece
The volume of the piece of the metal Gina is found to be 22.82 cubic cm.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of cube or cuboid.
Given the density of the metal = 9.2g/cm3
Given the mass of the piece of the metal = 210 g
Assuming the volume of a piece of metal to be V
The expression for the density is shown below:-
Density = Mass / Volume
9.2 = 210 / V
V = 210 / 9
V = 22.82 cubic cm.
Therefore the volume of the piece of the metal Gina is found to be 22.82 cubic cm.
The complete question is given below:-
Gina was given an irregularly shaped piece of metal and was told that the density of the metal was 10 g/cm3. She measured the mass of the piece to be 210 g. What was the volume of the piece of metal Gina was given?
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Gary buys a 3 1/2 pound bag of dog food every 3 weeks. Gary feeds his dog the same amount of food each day. Which expression can Gary use to determine the number of pounds of dog food his dog eats each year?
Answer:
7/2 x 52/3
Step-by-step explanation:
Steps:
Since 1 year = 52 weeks
52*7/2*3= 7/2*52/3
Since 1 year equal 52 weeks meaning we have to times 52 by 7/2 then times by 3 the weeks. The answer is below.
Answer: 7/2 x 52/3
Please mark brainliest
Hope this helps.
beinggreat78 this is ittttt :P
Answer:
They are related because the radius is half of the diameter.
radius is the distance from the centre of a circle to any point on its circumference and diameter of the circle is a straight line which halves the circle from the center.
\(c = 2\pi \: r\)
\(r = \frac{c}{\pi \: r} \)
therefore, the radius is half the diameter.
answer= option 1
What is the missing length?
A. 15
B. 30
C. 8
D. 7
Answer:
red and blue are not a Selection!!!!!
Compute the height (in meters) of a cylinder with a radius of 2m and
volume 138 cubic meters. Round to the nearest meter.
Answer: 10.98 meters
Step-by-step explanation:
The circumference of a circle can be found using the
fortula C=2
Which is an equivalent equation solved for r?
r=CH
r= C(2)
or = 21
£8.40 is shared equally between three brothers. How much does each brother receive?
I need help with this question
9514 1404 393
Answer:
x = 22, y = 123
Step-by-step explanation:
The sum of angles in a triangle is 180°.
(2x +13)° +57° +3x° = 180°
5x +70 = 180 . . . . . . . . . . . . . collect terms, divde by °
5x = 110 . . . . . . . . . . . subtract 70
x = 22 . . . . . . . . divide by 5
__
Angles in a linear pair are supplementary.
y° + 57° = 180°
y = 123 . . . . . . . . divide by °, subtract 57
Lisa wrote a business plan for an entrepreneurship class, and now she has to make bound copies. Lisa could use a printer who charges a setup fee of $40 and $5 for every copy printed. Another possibility is to go to the office supply store, where she could pay an up-front fee of $30 and $10 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How many copies is that?Write a system of equations, graph them, and type the solution.
The equation for the first option would be
\(y=40+5x\)Where "x" is the number of copies and y the cost.
The second equation will be
\(y=30+10x\)If we graph both equations we have
As we can see, they will be equal in terms of cost with 2 copies. The cost will be 50.
We can see it at the intersection of the two graphs! we can also do it with algebra, if the costs are equal (same "y") we can say
\(\begin{gathered} 40+5x=30+10x \\ \\ 10=5x \\ \\ x=2 \end{gathered}\)The number of copies is 2.
Decide whether the rates are equivalent. Maria saves $50 in 4 months.
Ralph saves $60 in 5 months
Answer:
The rates are not equivalent since Maria saves $0.50 more per month than Ralph.
Step-by-step explanation:
We can determine if two rates are equivalent by comparing the rates at which they save per month.
Maria's savings per month:
Both 50 and 4 can be divided by 2, which gives us 25/2. As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.
Ralph's savings per month:
Both 60 and 5 can be divided by 5, which gives us 12. Thus, Ralph saves $12 per month.
Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.
The lengths of the sides of a triangle are in the ratio of 3:4:5. The perimeter of the rectangle is 60 cm. Find the lengths of the sides of the triangle.
Answer:
side of triangle =5:3:4 perimeter = 60 cm side=6o×5/12=25cm 60×3 /12=15
his composite figure is made of two identical pyramids attached at their bases. Each pyramid has a height of 2 units. 2 identical pyramids with rectangular bases are connected at their base. The height of the pyramid is 2. The lengths of the sides of the rectangle are 5 and 0.25 units. Which expression represents the volume, in cubic units, of the composite figure? One-half (One-third (5) (0.25) (2) ) One-half (One-third (5) (0.25) (4) ) 2(One-third (5) (0.25) (2) ) 2(One-third (5) (0.25) (4) )
The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.
How to evaluate the expression for the volume of the identical pyramidTo calculate for the volume of a rectangular base pyramid, we use the formula:
volume = 1/3 × area of base rectangle × height
volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units
volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.
Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.
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What is the sum of all the terms in the sequence?
2, 4, 6, 8,...., 500
Answer:
60818
Step-by-step explanation:
well you do this by adding each term in the sequence
pls help will give brainliest
Given f(x)=2/x^2+3x-10, which of the following is true?
A. f(x) is positive for all x<-5
B. f(x) is negative for all x<-5
C. f(x) is positive for all x<2
D. f(x) is positive for all x>2
The only true statement about the domain of the given function is:
B. f(x) is negative for all x < -5
How to solve for the domain of the function?The domain of a function is defined as the set of values that we can possibly plug into our function. This set is the x values in a function such as f(x).
Now, we are given the function as:
f(x) = \(\frac{2}{x^{2} } + 3x - 10\)
When x < -5, we have:
f(-4) = \(\frac{2}{(-4)^{2} } + 3(-4) - 10\)
f(-4) = -21.875
This suggests that for all values below x = -5 will result in negative values
When x > 2
f(3) = \(\frac{2}{3^{2} } + 3(3) - 10\)
f(3) = -0.78
Thus, it will get positive for higher values but it can also be negative as seen here.
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what is the slope of a line of duty hat is parallel to the line whose equation is 5y+2x=12
Answer:
-2/5
Step-by-step explanation:
The slope of two parallel lines will be the same.
Here, our equation is 5y + 2x = 12. Let's find the slope by isolating y:
5y + 2x = 12
5y = -2x + 12
y = (-2/5)x + 12/5
So, the slope is -2/5.
Thus, the slope of the line parallel to the given one will be -2/5.
~ an aesthetics lover
Answer:
-2/5
Step-by-step explanation:
5y+2x=12
Solve for y
Subtract 2x
5y = -2x+12
Divide by 5
5y/5 = -2/5 x +12/5
y = -2/5x +12/5
The slope is -2/5
Parallel lines have the same slope
STUDY SKILLS 7. State ONE way in which each of the examination writing skills below could effectively assist you when writing your examinations. 7.1 Read the question 7.2 Plan the response 7.3 Answer the questions (3 x 1) (3)
Examination writing skills refer to a set of abilities that are essential for effective and successful writing in an exam context.
These skills include reading the question carefully, planning your response, writing a clear and concise answer, using appropriate terminology, providing evidence to support your argument, and presenting your answer in a logical and organized manner.
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Complete question:
State one way in which each of the examination writing skills below could effectively assist you when writing your examinations:
Read the questionPlan the responseAnswer the questionsFind the area of the following shape 4.03mc
Answer:
10 Units
Step-by-step explanation:
Separate the area into two triangles down the y-axis.
Take the area of the two triangles using the equation (b*h)/2.
Add the two areas together to get your final answer.
Which of the following is true of the discriminant for the graph below?
A. It is zero.
B. It is positive.
C. It is negative.
D. It is undefined.
20% of what number is = to 5% of 680
Answer:
Solution
20%× X= 5%×680
or, X=170.
The required number is 170.