With the mean and range, we can estimate the weights of the smallest and largest animals in each group.
For cats the interval is [ 3.75kg, 4.25kg] and for dogs is [9.5kg, 54.5kg]
Which conclusions can be made with the given information?
We know that the mean weight for cats is 4kg, and the range (difference between the largest value and smallest value) is 0.5kg.
From that, we can conclude with some confidence (but not exactly), that the largest cat weights 4kg + 0.5kg/2 = 4.25kgAnd the smallest cat weights 4kg - 0.5kg/2 = 3.75kg(Assuming a normal distribution).
Similar for the dogs, the mean weight is 32kg and the range is 45kg, then:
The largest dog weights 32kg + 45kg/2 = 54.5kgThe smallest dog weights 32kg - 45kg/2 = 9.5kg(again, assuming a normal distribution).
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What is the domain of the given function?
{(3,-2), (6, 1), (-1, 4), (5, 9), (-4, 0)}
{x|x = -4,-1, 3, 5, 6}
Oyly=-2, 0, 1, 4, 9}
O {x|x = -4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
Oyly=-4, -2, -1, 0, 1, 3, 4, 5, 6, 9)
h
Answer:
A
Step-by-step explanation:
the domain are the value on the x coordinate
i.e 3, 6, -1, 5, -4 = {-4,-1,3,5,6}
what is the slope of the line graphed below?
Answer:
5
Step-by-step explanation:
the gradient is 5
change in Y over change in X
If a many-to-many-to-many relationship is created when it is not appropriate to do so, the conversion to ____ normal form will correct the problem.
Answer:
Step-by-step explanation:
Question 2 of 40
How much more will $16,500 earn in interest than $15,000 if both are
invested in savings accounts with APYS of 4.1% for a year?
OA. $61.50
OB. $156.15
OC. $52.05
OD. $20.50
Please do step by step as to how you got the answer
Answer:
A
Step-by-step explanation:
We are asked to find the amount of interest earned on $16,500 than $15,000 with APYs of 4.1% for a year.
We will use simple interest formula to solve our given problem.
I= prt
i= amount of interest
p=principal amount
r= interest rate in decimal form
t= time in years
4.1%= 41/100= 0.041
$16,500 times 0.041 - $15,000 times 0.041
(16,500- 15,000) times 0.041
(1,500) times 0.041
So the answer is $61.50
I hope this is right, have a nice day.
Which of the expressions are equivalent to the one below? (5x1)-7
Answer:
-2
Step-by-step explanation:
[tex](5 \times 1) - 7 \\ 5 - 7 \\ - 2[/tex]
please simplify and keep the answer with exponents.
(6^7 * 6^12)/ 6^8
Answer:
6¹¹
Step-by-step explanation:
Simplifying the numerator :
When two terms with the same base are multiplied, the powers are added6⁷ x 6¹²6¹⁹Solving the expression :
When two terms with the same base are divided, the powers are subtracted6¹⁹ / 6⁸6¹¹find the values of y
y² =225
write the slope-intercept form of the equation of a line passing through the following two points: (-3, 7) & (6, -5)
In order to find equation, first find slope:
[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1} \quad where \ (x_1, y_1) , \ (x_2, y_2) \ are \ points[/tex]
Given points: (-3, 7) and (6, -5)
[tex]\rightarrow \sf slope : \dfrac{-5-7}{6-(-3)} =-\dfrac{4}{3}[/tex]
Equation:
[tex]\sf y- y_1 = m(x - x_1)[/tex]
insert values
[tex]\rightarrow \sf y - 7 = -\dfrac{4}{3} (x -(-3))[/tex]
[tex]\rightarrow \sf y = -\dfrac{4}{3} x - 4 +7[/tex]
[tex]\rightarrow \sf y = -\dfrac{4}{3} x +3[/tex]
Find the following measure for this figure.
Volume=
36 square units
24 square units
12 square units
Solve 3x² + 4x = 2. (2 points)
O 2 ± √10
—————
6
O −2+2√10
——————-
3
O −2+√10
——————-
3
O
-4± √10
————
3
Answer:
Step-by-step explanation:
As it is a second order equation, it means that it has two possible answers and they are [tex]x_1[/tex] and [tex]x_2[/tex].
The famous quadratic formula for solving any second order equation is the following:
[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}[/tex]
Where a is the coefficient of [tex]x^2[/tex], b is the coefficient of x, and c is the free term. In other words,
[tex]a = 3\\b=4\\c=-2[/tex]
as the equation should be in the following form:
[tex]a x^2 + bx+c = 0[/tex]
Therefore the possible answer should be the following,
[tex]\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}[/tex][tex]\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}[/tex]
by dividing the numerator and denominator by 2, we can deduce the following,
Members of a soccer team raised $1511 to go to a tournament. They rented a bus for $933.50 and budgeted $38.50 per player for meals. Determine the number of players the team can bring to the tournament.
hurry pls
The number of players in the team would be 15 which can bring to the tournament.
A soccer squad collected $1511 to attend a competition. They spent $933.50 on a bus rental and $38.50 for each player on food.
What is a numerical expression?A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
Let the number of players would be x
As per the given information, the required solution would be as:
Total budget = (per player meal)(x players) + bus rent
1511 = 38.50x + 933.50
Rearrange the terms and solve for x
1511 - 933.50 = 38.50x
577.50 = 38.50 x
Divide both sides by 38.50 into above equation,
x = 15
Therefore, the number of players in the team would be 15 which can bring to the tournament.
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Simplify the expression: 4+(11-3)²
Answer:
68
Step-by-step explanation:
[tex]4+\left(11-3\right)^2\\(11-3)=8\\=4+8^2\\=4+64\\=68[/tex]
Translate the shape A four squares right and two squares down.What are the coordinates of the vertices of the image?.
The translated vertices are:
A' = (5, 2)B' = (5. -1)C' = (7. -1)What are the coordinates of the vertices of the image?.The vertices of the original figure are:
A = (1, 4)B = (1, 1)C = (3, 1).Now we want to apply a translation of four units to the right and 2 units down, then each point (x, y) becomes (x + 4, y - 2).
This means that the translated vertices are:
A' = (1 + 4, 4 - 2) = (5, 2)B' = (1 + 4, 1 - 2) = (5. -1)C' = (3 + 4, 1 - 2) = (7. -1)If you want to learn more about translations:
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At the local pet store, zebrafish cost $2.10 each, and neon tetras cost $1.95 each. if ernesto bought 13 fish for a total cost of $26.70 not including tax, how many of each type of fish did he buy?
Answer:
zebrafish: 9neon tetras: 4Step-by-step explanation:
The numbers of zebrafish and neon tetras can be found by writing an equation relating the numbers of each to their total cost.
__
setupLet z represent the number of zebrafish Ernesto bought. Then the number of neon tetras is (13 -z), and the total cost of the purchase was ...
2.10z +1.95(13 -z) = 26.70
solution0.15z +25.35 = 26.70 . . . . . . simplify
0.15z = 1.35 . . . . . . . . . . . . subtract 25.35
z = 9 . . . . . . . . . . . . . . . divide by 0.15
Ernesto bought 9 zebrafish and 4 neon tetras.
In an oblique drawing, which surface is shown in its true size and shape and is parallel to the horizon?
top
side
bottom
front
In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front.
What is the drawing about?The Position of an object in a drawing is known to be parallel to the plane of projection and the circular shape is true in front plane of the oblique view.
The measurements on the front and oblique faces are known to have all its lengths to be true.
Note also that A pictorial drawing that has the front view of an object parallel to the projection plane and shown its true size and shape is known to be Oblique Drawing.
Therefore, In an oblique drawing, the surface that is shown in its true size and shape and is parallel to the horizon is the front and as such, option d is correct.
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Which ordered pair is a solution to the following system of inequalities?
y < –x2 + x
y > x2 – 4
(0, –1)
(1, 1)
(2, –3)
(3, –6)
Answer: (0,-1)
Step-by-step explanation:
Let's start with the first inequality, [tex]y < -x^{2}+x[/tex]. To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.
A) [tex]-1 < -0^{2}+0 \longrightarrow -1 < 0 \longrightarrow \text{ True}[/tex]B) [tex]1 < -1^{2}+1 \longrightarrow 1 < 0 \longrightarrow \text{ False}[/tex]C) [tex]-3 < -2^{2}+2 \longrightarrow -3 < -2 \longrightarrow \text{ True}[/tex]D) [tex]-6 < -3^{2}+3 \longrightarrow -6 < -6 \longrightarrow \text{ False}[/tex]Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).
A) [tex]-1 > 0^{2}-4 \longrightarrow -1 > -4 \longrightarrow \text{ True}[/tex]C) [tex]-3 > 2^{2}-4 \longrightarrow -3 > 0 \longrightarrow \text{ False}[/tex]Therefore, the answer is (A) (0, -1).
A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The hole has a diameter of 1 ft. What is the probability of hitting a ball into the circular hole? Express your answer as a percentage rounded to the nearest tenth.
Considering the area of the hole, it is found that there is a 4.9% probability of hitting a ball into the circular hole.
What is the area of a circle?The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex]
In this problem, the hole has a diameter of 1 ft, hence it is radius is of r = 1 ft/2 = 0.5 ft, and it's area is given by:
[tex]A = \pi \times (0.5)^2 = 0.7854 \text{ft}^2[/tex]
Hence the probability is given by:
p = 0.7854/16 = 0.049 = 4.9%
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Solve question 11 for me please
Answer:
C
Step-by-step explanation:
-4x+2<6
-4x<4
x<-1
because the sign doesnt have a line under it, it is an open hole
What is the greatest common factor of 30y^10 + 15y^6 + 5y^2?
30y^10
5y^2
y^2
5y^10
Answer:
5y²
Step-by-step explanation:
Prime factorizing each term :
⇒ 30y¹⁰ = 5 x 3 x 2 x y¹⁰
⇒ 15y⁶ = 5 x 3 x y⁶
⇒ 5y² = 5 x y²
===============================================================
From this, we understand the GCF of the numbers are :
⇒ 5 × y²
⇒ 5y²
anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board. two students will be selected, and they will alternate attending the school board meetings. all five students are equally well qualified, so the school superintendent decides to draw names at random. what is the probability he will choose debbie and esther as the two representatives? enter your answer as a fraction in simplest terms.
Probability that he will choose debbie and esther as the two representatives is 1/20 .
What is the meaning of Probability ?Probability is the stream in mathematics in which likeliness of an event to happen is studied.
The range of probability lies between 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.
It is given that anna, becky, christina, debbie, and esther are the five candidates for student representative for the school board.
two students will be selected, and they will alternate attending the school board meetings.
all five students are equally well qualified, so the school superintendent decides to draw names at random.
probability he will choose debbie and esther as the two representatives = ?
Probability of chosing debbie is 1/5
Probability of choosing Esther is also 1/5
Either of them if chosen first the probability is 1/5
and the either of them chosen second the probability is 1/4
Probability that he will choose debbie and esther as the two representatives = (1/5)*(1/4) = 1/20 .
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a letter is chosen from the nine letters in the word "bumblebee." what is the probability the letter is a b or an e?
statistics and probability
Answer:
2/3
Step-by-step explanation:
Probability (b or e) :
⇒ There are 3 b's and 3 e's in the word "bumblebee"
⇒ P (b or e) = No. of b's and e's / Total letters
⇒ P (b or e) = 3 + 3 / 9
⇒ P (b or e) = 6/9
⇒ P (b or e) = 2/3
Which of the following equations describes the graph?
y=-x^2+1
An equation that describes the graph is [tex]y=-x^{2} +1[/tex]
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is parabola?"It is a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. "
For given question,
The graph describes the parabola.
The parabola opens downward, so the equation of the parabola would be,
[tex]y=-x^{2}[/tex]
We know that, for a function f(x) is transformed to f(x) + c if c > 0 then the graph of the function moves up by c units.
if c < 0 then the graph of the function moves down by c units.
As the graph of the parabola moves down by 1 unit, the equation of the parabola would be,
[tex]y=-x^2+1[/tex]
Therefore, the equation that describes the graph is [tex]y=-x^{2} +1[/tex]
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Triangle DEF, with vertices D(9,-8), E(8,-3), and F(2,-5), is drawn inside a rectangle,
as shown below.
What is the area, in square units, of triangle DEF?
[
Answer: A=?
units²
The area of the triangle DEF is 2 square units
How to determine the area?The given parameters are:
D(9,-8), E(8,-3), and F(2,-5),
The area of the triangle is calculated using:
Area = 0.5|x1 * (y2 -y3) + x2 * (y1 -y3) + x3 * (y2 -y1) |
This gives
Area = 0.5|9 * (-3 + 5) + 8 * (-8 + 5) + 2 * (-3 + 8) |
Evaluate
Area = 0.5|4|
Expand
Area = 2
Hence, the area of the triangle DEF is 2 square units
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The length of a reclangle can be represented by the expression 2x - 1. The width of the same rectangle can be represented by the expression x^2 - x + 3. Which of the following expressions can represent the area of the rectangle?
Answer:
2x^3 - 3x^2 + 7x - 3
Step-by-step explanation:
Area = length * width
= (2x - 1)(x^2 - x + 3)
= 2x(x^2 - x + 3) - 1(x^2 - x + 3)
= 2x^3 - 2x^2 + 6x - x^2 + x - 3
= 2x^3 - 3x^2 + 7x - 3
What is the area of the triangle below?
On a coordinate plane, a triangle has a base of 6 units and a height of 9 units.
27 square units
45 square units
54 square units
90 square units
Answer:
27 units
Step-by-step explanation:
6 (base) × 9 (height) = 54
54 × 1/2 = 27
A regular pentagon and a regular hexagon are both inscribed in the circle below. Which shape has a bigger area? Explain your reasoning. 4
Answer:
Pentagon
Step-by-step explanation:
Because as you can see, a regular pentagon is bigger than then the hexagon. If it's both in the circle below, the pentagon will most likely have an big advantage in this.
You are packing for a road trip and you buy snack packages (same size, same weight) for the trip. you buy 6 potato chips, 5 doritos, and 3 corn curls. you put them in a bag and mix them up. during the trip, you reach into the bag and pull out two packages at random, one at a time. draw a tree and calculate the probability of each outcome. use p for potato chips, d for doritos, and c for corn curls. what is the probability of picking two snacks of the same type?
The probability of picking two snacks of the same type is 0.308.
How to calculate the probability?The probability of picking 2 potato will be:
= 6/14 × 5/13
= 0.429 × 0.385
= 0.165
The probability of picking 2 doritos will be:
= 5/14 × 4/13
= 0.357 × 0.308
= 0.110
The probability of picking 2 corn curls will be:
= 3/14 × 2/13
= 0.214 × 0.154
= 0.033
Therefore, the probability of picking two snacks of the same type will be:
= 0.165 + 0.110 + 0.033
= 0.308
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Please help worth
70 points
will mark branlest
Answer:
CE = 3.2 cm
DH = 4.5 cm
Explanation:
Given:
MNPR ≅ CEDH
≅ - means approximately equal
Lengths of the shape:
MN = CE = 3.2 cm
NP = ED = 6.5 cm
PR = DH = 4.5 cm
RM = HC = 9 cm
The perimeter of a rectangle is 50 inches. Its width
measures 11 inches. What is its length?
Let x = the length of the rectangle. Choose the equation that represents this
problem.
A. 2x + 22 = 50
B. 2x + 11 = 50
C. x + 11 = 50
D. 2x11 = 50 * don’t try and be funny I need help bad*
Answer:
50-20 or perimeter-2length
Step-by-step explanation:
15 inches is the width
Marquis is starting a fast food job during his senior year of high school. he lives with his parents and they will claim him as a dependent on their taxes this year. he earns $2000. based on how he completed his w-4, his employer withheld $200 in federal income taxes from his paychecks. what will happen if marquis doesn't file taxes in april?
*
nothing will happen, but marquis will miss out on his potential refund.
the irs will refund his $200 directly to him.
the irs will refund his $200 to his parents.
the irs will fine marquis $75 or more for not filing taxes.
What will happen if marquis doesn't file taxes in April is that; nothing will happen, but marquis will miss out on his potential refund.
What is the impact of withholding taxes?
Withholding in this regards by his employers simply means how much is being taken out of your paycheck in taxes.
Now, withholding tax is basically an advance payment of income tax which may be used to offset or reduce tax liabilities. In this case, since the employer has withheld $200 in federal income taxes from his paychecks, what it means is that if he doesn't file taxes in April, nothing will happen, but he will miss out on his potential refund.
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