Complete question:
Two random samples were done to determine how often people in a community go to the dentist the first sample surveyed 10 people as they enter their workplaces. The first sample found that the mean time between visits to the dentist with 7.5 months. The second sample survey 50 people as they enter the local grocery store. The second simple found that the mean time between visits to the dentist is 18.1 months. Which statements are true check all that apply
1) The first sample is likely to be more representative of the population.
2) The second sample is likely to be more representative of the population.
3)The second sample will give a better representation because it is larger.
4) The first sample is not biased.
5) Community members probably visit the dentist about once every 18 months.
Answer:
2,3,5
Step-by-step explanation:
2) The second sample is likely to be more representative of the population, this is because the number of observations in the second sample is more than the number of observations in the first. And the more the sample observation, the more representative it is about the population.
3.) The second sample will give a better representation because it is larger, the size of the second sample is the sole factor which gives it a better representative edge than the first sample.
5.) Community members probably visit the dentist about once every 18 months, from the question, the avarage time visit of community members to the dentist is 18.1 months which is approximately 18 months, the mean gives the average value of a distribution
Geometry
A.)10 units
B.)17 units
C.)14 units
D.)7 units
Answer:
14 units
Step-by-step explanation:
All we have to pay attention to in this problem is B, so we can ignore the rest of the triangle. B is 5 units directly to the left of line l, meaning that B' must be 5 units to the right of line l. This would put B' 2 units to the left of line m. That means that B" would be 2 unit to the right of line m, as that is how reflections work. Adding up all of the difference in units you have a 10 unit shift from B to B', and then a 4 unit shift from B' to B". Now adding 4+10=14 units.
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 266(1.05) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2010?
Answer:
The yearly growth percentage is 5%
The worth of the company in 2010 is 433 million of dollars approximately
Step-by-step explanation:
The annual growth percentage;
We can write the equation of w as follows;
W = 266 (1 + 0.05)^t
Compare this with ;
W = I(1 + r)^t
Where W is the worth at a particular year
I is the initial worth at year 2000
r is the rate of increase per year
and t is the time since 2010
where it is the 0.05 that represents the yearly growth percentage (r)
0.05 as a percentage is 5/100 which is 5%
Now, we want to calculate the worth of the company in the year 2010
The first thing to do here is to calculate the value of t.
The value of t is the difference between the years 2000 and 2010 and that is 2010-2000 = 10 years
Now to find the worth at 2010, simply substitute that value of t = 10 in the equation
Thus;
W = 266(1.05)^10
W = 433.2859707228
Which is approximately 433
Consider the expression 0.8x-3. Which of the following is an equivalent expression
Answer:
Option (C)
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Consider the expression [tex]0.8^{x-3}[/tex] . Which of the following is an equivalent expression?
A- [tex]0.8^{\frac{x}{3}}[/tex]
B- [tex]0.8^{\frac{3}{x}}[/tex]
C- [tex]\frac{0.8^{x}}{0.8^3}[/tex]
D- [tex]\frac{0.8^{3}}{0.8^{x}}[/tex]
Given expression is [tex]0.8^{x-3}[/tex]
[tex]0.8^{x-3}=0.8^{x}\times 0.8^{-3}[/tex] [Since [tex]x^{b+c}=x^{b}\times x^{c}[/tex]]
[tex]=\frac{0.8x^{x}}{0.8^{3} }[/tex] [Since [tex]a\times b^{-1}=\frac{a}{b}[/tex]]
Therefore, Option C will be the equivalent expression.
Answer:
Consider the expression 0.8X-3. Which of the following is an equivalent expression?
A.
B.
C. <<<<correct
D.
Step-by-step explanation:
eDGE 2021
1/8+c=4/5 what is c? please answer urgent!!!
Answer:
Step-by-step explanation:
1/8 + c = 4/5
c = 4/5 - 1/8
c = 4/5 × 8/8 - 1/8 × 5/5
= 32+5 / 40
= 37/40
Hope this helps
plz mark as brainliest!!!!!!
Which of the following equations have infinitely many solutions? Choose all answers that apply: (Choice A) A 76x+76=-76x+7676x+76=−76x+7676, x, plus, 76, equals, minus, 76, x, plus, 76 (Choice B) B 76x+76=76x+7676x+76=76x+7676, x, plus, 76, equals, 76, x, plus, 76 (Choice C) C -76x+76=-76x+76−76x+76=−76x+76minus, 76, x, plus, 76, equals, minus, 76, x, plus, 76 (Choice D) D -76x+76=76x+76−76x+76=76x+76
Answer:
−76x+76=−76x+76 and 76x+76=76x+76
ASAP What is a downside of receiving a tax refund?
Answer:
You've given Uncle Sam an interest-free loan of your money for a full year. ... If you had received your expected refund incrementally as part of your pay, you could have used it to pay bills, start an emergency fund or save for something special.You are at the mercy of the IRS, which already is at the mercy of a frequently late-acting Congress when it comes to tax laws. If Congress and the IRS are slow, then so is your receipt of your refund.
A bus needs to cover a distance of 240 km in less than 5 hours. Which of the following inequality represents the speed (s) of the bus?.
Answer:
Step-by-step explanation:
Let s represent the speed of the bus.
From the information given, the bus needs to cover a distance of 240 km in less than 5 hours. The formula for calculating the speed of the bus, s is expressed as
Speed, s = distance covered by the bus/ time taken to cover the distance
Therefore,
Speed, s = 240/5 = 48 km/hr
A higher speed would ensure the bus covers the distance in less than 5 hours. Therefore, the inequality that represents the speed (s) of the bus would be
s ≥ 48
When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer
False
True
Answer:
False
Step-by-step explanation:
If you were to divide a negative number by a negative number, or multiply a negative number by a negative number, you would change the sign to positive as two negatives make a positive.
Answer:
False
Step-by-step explanation:
if you multiply two negative integers, you will get a positive result
For example
(-1) x (-2) = 2 (the sign of the answer is different from the sign of the two negative integers that we multiplied)
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Range: y ≥ -1
Step-by-step explanation:
The are no limits on the domain because x can be any value
( x-3) ^2 must be greater than or equal to zero since it is squared
0 -1 = -1
The smallest value the range can be is -1
y ≥ -1
Determine the radius of a circle given by the equation x^2+y^2=50.
please write all the steps.
Answer:
r = 5√2
Step-by-step explanation:
Circle Formula: (x - h)² + (y - k)² = r²
(h, k) is center, r is radius.
Since we are given 50 as r², we set equal and solve:
r² = 50
r = √50
r = 5√2
lyle has 1/6 of a pound of sunflower seeds. he wants to divide them evenly into 5 snack containers. how many pounds of sunflower seeds will be in each container
Answer:
0.03333333333333
Step-by-step explanation:
1/6 = 0.1666666666666
0.16666666666666 / 5 = 0.03333333333
Help please ?
Solve 2x - 5 = 7
Answer:
x = 6
Step-by-step explanation:
2x - 5 = 7
Add 5 on both sides.
2x - 5 + 5 = 7 + 5
2x = 12
Divide both sides by 2.
2x/2 = 12/2
x = 6
what is the explicit formula for this sequence -1,4,-16,64
Answer:
The answer is c.
Step-by-step explanation:
[tex]a_{1} =-1*(-4)x^{n-1}[/tex]
[tex]a_{1} =-1(-4)^{1-1}[/tex]
[tex]a_{1} =-1(-4)^{2} \\a_{1} =-1(1)\\a_{1} =-1[/tex][tex]a_{2} =-1(-4)^{2-1} \\a_{2} =-1(-4)^{1} \\a_{2} =-1(-4)\\a_{2}=4[/tex][tex]a_{3}=-1(-4)^{3-1} \\a_{3}=-1(-4)^{2} \\a_{3}=-1(16)\\a_{3}=-16[/tex]
Find the value of tanθ in the figure below
Answer:
tanΘ = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
the picture is the qestion
Answer:
The answer is option D.
Step-by-step explanation:
Because -3/-5 = 3/5 since the negative sign cancel each other.
Hope this helps you
Answer:
The fourth option
Step-by-step explanation:
-3/5 is the same as - 3/5 or 3/-5 (it doesn't matter where the negative sign goes-on the side, numerator, or denominator)
-(-3/-5) is basically negative of -3/-5
-3/-5 is the not the same as -3/5
A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet of rectangular-shaped wrapping paper that measured 2 feet by 3 feet. There were no gaps or overlapping paper. How many square inches of wrapping paper were left over? Choose an answer
Answer:
380 square inches
Step-by-step explanation:
We are given the measurements of the Rectangular Prism as
8 inches by 9 inches by 10 inches
Where based on the order of arrangement:
8 inches = Length
9 inches= Width
10 inches = Height
Step 1
Find the amount of wrapping paper needed
Perimeter = 2L + 2W
= 2 × 8 + 2 ×9
= 16 + 18
= 34 inches
Base = L × W
= 8 × 9
= 72 inches
Surface Area of the Rectangular Prism =PH + 2B
Where P = Perimeter
H = Height
B = Base
= 34 × 10 + 2× 72
= 340 + 144
= 484 square inches
The area of the Rectangular prism = 484 square inches
Step 2
So we were told that she used wrapping paper the measured 2 feet by 3 feet.
We would convert the values in feet to inches
1 ft = 12 inches
Length = 2 ft = 2 × 12 = 24 inches
Width = 3 ft = 3 × 12 = 36 inches
We find the area of the wrapping paper
Length × Width = 24inches × 36 inches = 864 square inches.
Step 3
The amount of square inches of wrapping paper left over is calculated as:
Area of the wrapping paper used - Area of the Rectangular prism
= 864 square inches - 484 square inches
= 380 square inches.
Therefore, the amount of square inches of wrapping paper left over is 380 square inches.
Which set of points does NOT represent a function?
OA) (-4,-2), (-1,3), (0, 3), (5, -6)
OB) (1 -1), (3, -1), (5, -1), (-1, -1)
OC) (-2, 6), (5, 6), (-2,-6), (4,5)
OD) (7,4), (-4, 7), (-7,-4), (4, -7)
Answer:
OC is not a function
Step-by-step explanation:
It's not a function because the x cannot repeat.
Tico’s Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco truck’s owner decides to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7. The owner can calculate the daily revenue using the polynomial expression -7x2 + 32x + 240, where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents. Part D: What are some advantages of writing the polynomial expression -7x2 + 32x + 240 in factored form when interpreting this situation?
Answer:
The constant term is 240. It represents the initial daily revenue.
Step-by-step explanation:
It is given that Tico's Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits.
The owner can calculate the daily revenue using the polynomial expression
where x is the number of $1 increases in the taco price.
Constant term does not contain any variable.
In the given expression 240 is free from variable x. So, the constant term is 240.
The value of expression is 240 for x=0. Since x is the number of $1 increases in the taco price, therefore 240 is the daily revenue when the taco price is not increased or the taco price increased by 0.
Therefore the constant term is 240 and it represents the initial daily revenue.
Which composition of transformations will create a pair of similar, not congruent triangles?
a rotation, then a reflection
a translation, then a rotation
a reflection, then a translation
a rotation, then a dilation
Based on the information given, the composition of transformations that will bring about a pair of similar, not congruent triangles is D. a rotation, then a dilation.
What is a congruent triangle?A congruent triangle simply means when two triangles have exactly the same side and angles.
Therefore, the composition of transformations that will bring about a pair of similar, not congruent triangles is a rotation, then a dilation.
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The money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £120 a week and pays £41 in tax.
Answer: The answer is given below
Step-by-step explanation:
From the question, we are informed that the money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Therefore, the formula for the money he can spend will be:
m = w - t
The amount of money that he has to spend if he earns £120 a week and pays £41 in tax will be:
m = w - t
m = £120 - £41
m = £79
Complete the table of values for y=x^2-2x+5 (see table in comments)
Step-by-step explanation:
Plug in each value of x into the equation and find y:
[tex]\left[\begin{array}{cc}x&y\\-2&(-2)^{2}-2(-2)+5=13\\-1&(-1)^{2}-2(-1)+5=8\\0&(0)^{2}-2(0)+5=5\\1&(1)^{2}-2(1)+5=4\\2&(2)^{2}-2(2)+5=5\\3&(3)^{2}-2(3)+5=8\end{array}\right][/tex]
Factor the polynomial completely using the X method. x2 + 13x – 48 An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + 13 x minus 48. What is the four-term polynomial and factored form of the polynomial? x2 + 7x + 6x – 48 = (x + 7)(x + 6) x2 – 12x + 4x – 48 = (x – 12)(x + 4) x2 + 16x – 3x – 48 = (x + 16)(x – 3) x2 – 16x + 3x – 48 = (x – 16)(x + 3)
Answer:
Step-by-step explanation:
The constant term of x^2 + 13x – 48 factors into either (3)(-16) or (-3)(16).
Note how 16 - 3 = 13, which is the coefficient of the middle term. Thus, the factors are
(x + 16)(x - 3) which is equivalent to x^2 + 16x - 3x - 48, or x^2 + 13x - 48.
The factored form of the given polynomial is (x - 3)(x + 6)
Calculation of the factor:Since the equation is [tex]x^2 + 13x - 48[/tex]
Now
The four-term polynomial is
[tex]x^2 + 16x - 3x - 48[/tex]
x(x + 16) - 3(x + 16)
(x - 3)(x + 6)
Here polynomial represents the expression that includes the additions, subtraction, etc
Therefore, The factored form of the given polynomial is (x - 3)(x + 6)
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A jar containing 17 coins (pennies, dimes and quarters) has a total value of $2.06. If you remove 5 pennies, 5 dimes and 5 quarters from the jar, which coins will remain in the jar?
Given that ƒ(x) = 4x + 5 and g(x) = x2 – 2x – 2, find (ƒ + g)(x).
Answer:
x² + 2x + 3
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= 4x + 5 + x² - 2x - 2 ← collect like terms
= x² + 2x + 3
the diagram shows a partly filled oil tank the depth of oil present in the tank is 1.2m
Answer:
The quantity of oil in the tank is 12,000 liters
Step-by-step explanation:
Firstly, we find the volume of the tank.
The tank is a cuboid, so we find the volume of a cuboid.
Kindly understand that when finding the volume of the cuboid, we shall not use the height of 3m.
This is because the tank is not full but it is to a height of 1.2m
So mathematically, the volume is calculated as follows;
V = l * b * h
where b = 5m , l = 2m and h = 1.2m
Thus the volume would be ;
V = 5 * 2 * 1.2
V = 12 m^3
But that’s not the quantity of oil.
From the question, 1 cubic meters contains 1000 liters of oil
So 12 cubic meter will contain = 12 * 1000 = 12,000 liters of oil
Answer:
The quantity of oil in the tank is 12,000 liters
Step-by-step explanation:
Firstly, we find the volume of the tank.
The tank is a cuboid, so we find the volume of a cuboid.
Kindly understand that when finding the volume of the cuboid, we shall not use the height of 3m.
This is because the tank is not full but it is to a height of 1.2m
∠BCA ≅ ∠DAC and ∠BAC ≅ ∠DCA by: the vertical angle theorem. the alternate interior angles theorem. the reflexive property. None of these choices are correct.
Answer:
(B)the alternate interior angles theorem.
Step-by-step explanation:
The diagram for the question is attached below:
In the diagram:
BC is parallel to AD; and
AB is parallel to DC.
Effectively, the shape is a parallelogram.
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent.
Therefore:
∠BCA ≅ ∠DAC and ∠BAC ≅ ∠DCA by the alternate interior angles theorem.
Infinite solutions No Solution (0,3)
Answer:
1. no solution
2. (0,3)
3. IMS (Infinitely Many Solutions)
Step-by-step explanation:
First graph has parallel lines, which means the lines will never intersect, therefore it will be impossible to get a solution.
Second Graph has 2 lines that intersect at points (0,3) which will give only one solution.
Third Graph has 1 line that overlaps at every point, which means that any point which is on the that line is a solution.
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Infinite solutions No Solution (0,3)
What is the volume of the sphere shown below with a radius of 3?
17.3-
A. 125 cu. units
B. 72s cu units
C. 365 cu. units
D. 108 cu. units
Answer:
volume of the sphere
=4/3π × r³
=4/3π × 3 × 3 × 3
=4/3π × 27
=36π ( c )
The value of volume of the sphere shown with a radius of 3 is,
⇒ 36π units³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Since, We know that;
volume of the sphere is,
V = 4/3π × r³
Here, We have;
r = 3
Hence, We get;
V = 4/3π × 3 × 3 × 3
= 4/3π × 27
=36π
Thus, The value of volume of the sphere shown with a radius of 3 is,
⇒ 36π units³
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the denominator of a fraction is 2 more than its numerator.when both the numerator and the denominator are increased by 3,the fraction is increased by 3/20.Find the original fraction given that both the numerator and denominator are positive integers
Answer: 3/5
Step-by-step explanation:
[tex]\dfrac{a}{a+2}+\dfrac{3}{20}=\dfrac{a+3}{(a+2)+3}\\\\\\\dfrac{a}{a+2}\bigg(\dfrac{20}{20}\bigg)+\dfrac{3}{20}\bigg(\dfrac{a+2}{a+2}\bigg)=\dfrac{a+3}{a+5}\\\\\\\dfrac{23a+6}{20(a+2)}=\dfrac{a+3}{a+5}\\\\\\(23a+6)(a+5)=20(a+2)(a+3)\\\\\\23a^2+121a+30=20a^2+100a+120\\\\\\3a^2+21a-90=0\\\\\\a^2+7a-30=0\\\\\\(a+10)(a-3)=0\\\\\\a=-10\quad a=3[/tex]
Since "a" is a positive integer, disregard a = -10
So the only valid answer is a=3 → a+2=5
[tex]\dfrac{a}{a+2}=\large\boxed{\dfrac{3}{5}}[/tex]