Answer:
Step-by-step explanation:
hello :
f(x)=3x^2-6x+13
1) a=3 and b= -6
2) the x coordinate of the vertex is : x= -b/2a so : x= -(-6)/6 = 1
3) the y coordinate by x= 1 is : f(1) = 3(1)²-6(1)+13 = 10
Which of the following statements is true regarding a representative sample?
A.
It is at least 1/2 of the total population.
B.
It focuses on a specific group within the population.
C.
It is a group that is fairly proportional to the population.
Answer:
B
Step-by-step explanation:
The following statement is true regarding a representative sample
"It is a group that is fairly proportional to the population".
What is the representative sample?
A representative sample is a subset of a population that is selected in such a way that it accurately reflects the characteristics of the entire population. The goal of a representative sample is to ensure that the sample is as representative as possible of the population as a whole so that the results of a study based on the sample can be generalized to the population.
A representative sample is not necessarily at least 1/2 of the total population (Option A) or focused on a specific group within the population (Option B). It is simply a group that is fairly proportional to the population, meaning that it contains a similar mix of characteristics as the population as a whole.
Hence, the correct answer would be an option (C).
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29+5x=44 whats the valué of x
Answer:
x=3
Step-by-step explanation:
44-29=15
5*3=15
The value of x in the equation 29 + 5x = 44 is solved by isolating x to find that x = 3.
Explanation:To solve the equation 29 + 5x = 44 for x, you should start by isolating the variable on one side. Here's a step-by-step process:
Subtract 29 from both sides of the equation to get 5x = 44 - 29.This simplifies to 5x = 15.To find the value of , divide both sides by 5, leading to .Finally, you get the solution x = 3.Therefore, the value of x in the given equation is 3.
Julio buys 5 shares of Coca-Cola stock and is guaranteed dividends (a profit)?
True
False
Answer:
false
Step-by-step explanation:
The statement is False. Coca-Cola stock does not guarantee dividends or profits.
Explanation:The statement is False. Buying shares of Coca-Cola stock does not guarantee dividends or profits. Dividends are payments made by a company to its shareholders as a share of its profits. While Coca-Cola is known for paying dividends to its shareholders, it is not guaranteed and depends on the financial performance of the company.
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please solve this question
Given:
Number of mice and frequency
Mean = 7
To find:
The value of x.
Solution:
Number of mice = X
Frequency = Y
XY = Multiply X and Y values.
X Y XY
5 4 20
6 13 78
7 16 112
8 x 8x
9 6 54
Sum of Y = 4 + 13 + 16 + x + 6
= 39 + x
Sum of XY = 20 + 78 + 112 + 8x + 54
= 8x + 264
Mean formula:
[tex]$Mean = \frac{\Sigma XY }{\Sigma Y}[/tex]
[tex]$7=\frac{8x+264}{39+x}[/tex]
Do cross multiplication.
[tex]7(39+x)=(8x+264)[/tex]
[tex]273+7x=8x+264[/tex]
Subtract 264 from both sides, we get
[tex]9+7x=8x[/tex]
Subtract 7x from both sides, we get
[tex]9=x[/tex]
The value of x is 9.
Are these shapes similar?
In triangle MNP, what is the measure of angle N?
Answer:
76 degrees
Step-by-step explanation:
enjoy fellow bridgers
Answer:
76 degrees.
Step-by-step explanation:
So when I did this i thought it was 20 at first. I was thinking about what sums the triangle up. Not the angle N. But if you did 4 x 20 - 4 that equals 76 THE angle for N is 76 not the whole triangle.
What is the area of ACDE to the nearest whole number? 10 cm 20 cm 21 cm А A 87 cm B. 105 cm C. 123 cm D 210 cm
The area of ACDE is 205 cm^2.
Explanation:The area of ACDE can be determined by finding the area of triangle ACD and triangle ADE and then summing their areas.
To find the area of triangle ACD, we can use the formula Area = 1/2 * base * height. In this case, the base is AD which is 21 cm and the height is 10 cm. Substituting these values into the formula, we get Area_ACD = 1/2 * 21 cm * 10 cm = 105 cm2.
Next, to find the area of triangle ADE, we can use the same formula. The base is DE which is 10 cm and the height is AC which is 20 cm. Substituting the values, we get Area_ADE = 1/2 * 10 cm * 20 cm = 100 cm2.
Finally, we add the areas of ACD and ADE to get the total area of ACDE: Area_ACDE = Area_ACD + Area_ADE = 105 cm2 + 100 cm2 = 205 cm2.
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The calculated area of the trapezoid ACDE is 123 square cm
How to determine the area of ACDEFrom the question, we have the following parameters that can be used in our computation:
The figure
Where, we have
BE² = 20² - 10²
This gives
BE² = 300
So, we have
BE = 17.3
This means that
CD = 21 - 17.3
CD = 3.7
The area of ACDE is calculated as
Area = 1/2 * (AE + CD) * AB
This gives
Area = 1/2 * (21 + 3..7) * 10
Evaluate
Area = 123
Hence, the area of ACDE is 123 square cm
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The coordinates of trapezoid ABCD are A (-6,3) B (-3,6) C (9,6) and D (-5,-8). Find the coordinates of trapezoid A’ B’ C’ D’ after the translation whose rule is T 3,4.
Answer:
A' (-3,7)
B' (0,10)
C' (12,10)
D' (-2,-4)
Step-by-step explanation:
A' (-6+3 , 3+4) = (-3,7)
B' (-3+3 , 6+4) = (0,10)
C' (9+3 , 6+4) = (12,10)
D' (-5+3 , -8+4) = (-2,-4)
What is the range of 16,17,17,18,18,18,19,19,19,19,20,20,20,21,21,22,22,24,25,25
In order to find the range we first have to list the numbers from least to greatest:
16, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 21, 21, 22, 22, 24, 25, 25
range = largest value - smallest value = answer
range = 25 - 16 = 9
range = 19
so, our final answer would be 19.
~ i hope this helps you have a good day/night afternoon~ ~-gabby~
Answer: The answer is 23.
Step-by-step explanation:
Express your answer exactly
Answer:
sin(θ) = [tex]\frac{\sqrt{55} }{8}[/tex]
Step-by-step explanation:
See the attachment.
Cosine is adjacent over hypotenuse, so since cos(θ) = 3/8, then the adjacent side of the triangle is 3 and the hypotenuse is 8.
Since is opposite divided by hypotenuse. To find the opposite side, which is the unlabelled side on the graph, we need to use the Pythagorean Theorem:
x = [tex]\sqrt{8^2-3^2} =\sqrt{64-9} =\sqrt{55}[/tex]
So, sin(θ) = [tex]\frac{\sqrt{55} }{8}[/tex].
Hope this helps!
At a tennis event, 10% of a player's score is based on serves, 40% on return balls, and 50% on wins.
Kyle makes 85% of his serves, returns 70% of the balls, and wins 75% of his games.
What is Kyle's score at the tennis event?
Answer:
74 % score
Step-by-step explanation:
Player score = 10% * (S) + 40%*(R) + 50%*(W)
S = serves
R = return balls
W= wins
S = .85
R = .7
W = .75
Player's score = 0.1* 0.85 + 0.4 * 0.7 + 0.5*(0.75)
Player's score = 0.085 + 0.28 + 0.375 = 0.74 = 74%
The Score is 74%
I Got it Right
Identify the graph of g(x) = –x2 + 9x – 20 from the choices below.
The graph of the quadratic function g(x) = -x^2 + 9x - 20 will be a downward opening parabola with vertex at (4.5, 0.25), x-intercepts at (4, 0) and (5, 0), and a y-intercept at (0, -20). To graph it, label the axes as 'f(x)' and 'x' and scale them to include these critical points.
Explanation:The student wants to identify the graph of the quadratic function g(x) = –x2 + 9x – 20. To do this, first note that the standard form of a quadratic function is ax2 + bx + c, where a, b, and c are constants.
In this case, a = -1 (which makes the parabola open downward), b = 9, and c = -20.
The vertex form of a quadratic function is f(x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. To find the vertex, we can use the formula h = -b/(2a).
For g(x), this gives h = -9/(2 * -1) = 4.5.
We can then find the value of k by substituting h back into g(x), which gives us k = -4.52 + 9(4.5) - 20.
Therefore, k = 0.25.
The vertex of the parabola is at (4.5, 0.25), and because a is negative, the parabola opens downward. The x-intercepts (or roots) of the parabola can be found by factoring the quadratic equation or using the quadratic formula. In this case, the x-intercepts are (4, 0) and (5, 0). Lastly, the y-intercept occurs when x = 0, which for g(x) is -20.
To label the graph, we'd use 'f(x)' for the vertical axis and 'x' for the horizontal axis. The scale of the axes depends on the maximum and minimum x and y values of the graph, which in this instance would include at least the vertex, x-intercepts, and y-intercept.
First one that knows the answer
wins brainliest
Answer:
The bakery made a profit of $8,013 during the summer months
Step-by-step explanation:
A profit is made when income is greater than expenses while a loss is made when expenses are greater than income
A loss is a negative profit
In June
Income = $750
Expense:
rent = $890
Operating costs = $975
Total expense = $1,865
Profit = income - expense
profit = $750 - $1865
= -$1115
Therefore, a loss of $1115 was made in June
July
Income = $ 925
Expenses:
Rent = $890
Operating costs = $721
Total expenses = 1611
Profit = $925 - $1611
= -$686
A loss of $686 was made in July
August
Income = $11,250
Expenses:
Rent = $890
Operating costs= $546
Total expense = $1436
Profit = $11,250 - $1436
= $9,814
A profit of $9,814 was made in August
Now let's find the difference between the profit and losses that were made during the summer months. This will be the addition of the profit and losses of all three months
Remember that losses carry a negative sign
$9,814 -$686 -$1115 = $8,013
Therefore, the bakery made a profit of $8,013 during the summer months
66 times 26 times 60 then multiply 1/2
Answer:
Step-by-step explanation:
51,480 is the answer.
Answer:
51,480
Step-by-step explanation:
66 x 26 = 1,716
1,716 x 60 = 102,960
102,960 x 1/2 = 51,480
Mia wants to construct a triangle with angles measuring 51*, 102*and 37*. how many different triangles can she construct?
Answer:
She can construct NO triangles because those angle add up to 190 degrees and all triangles' angles must add up to 180 degrees.
Step-by-step explanation:
What are the roots of the equation 16x2 - 16x + 5 = 0 in simplest a + bi form?
Answer:
37/16
Step-by-step explanation:
what is the volume of a cone that has a radius of 4 units and a height of 6 units?
Answer:
yes
Step-by-step explanation:
There are 4 green crayons, 6 yellow crayons and 3 blue crayons. P(green
then blue) without replacement. *
Answer:
0.0769 or 7.69%
Step-by-step explanation:
Number of green crayons = 4
Number of yellow crayons = 6
Number of blue crayons = 3
Total number of crayons = 4 + 6 + 3
= 13 crayons
[tex]Probability=\frac{\text{favorable outcome}}{\text{total number of outcome}}[/tex]
probability to get first green crayon P₁ = [tex]\frac{4}{13}[/tex]
Probability to get second crayon is blue P₂ = [tex]\frac{3}{12}[/tex]
P = P₁ × P₂
= [tex]\frac{4}{13}\times \frac{3}{12}[/tex]
= [tex]\frac{12}{156}[/tex]
= 0.0769
Probability to get green then blue is 0.0769 or 7.69%
Find the circumference of a circle that has a diameter of 42 m.
Answer:
the answer is 131.95m.
Answer:
Step-by-step explanation:
Circumference = πd
r = diameter/2
C= 42π = 42 XX22/7 =- 6x22=132m
can someone help me with this question and show me the steps please
-13+x=-25
Answer:
x= -12
Step-by-step explanation:
-13+x=-25
+13 +13
x= -12
Answer:
x = -12
Step-by-step explanation:
-13+x=-25
Add 13 to each side
-13+13+x=-25+13
x = -12
find the missing angle..? x=?
Answer:
x = 95°
Step-by-step explanation:
x and 95 are vertical angles and congruent, thus
x = 95°
Answer:
x = 95°
Step-by-step explanation:
opposite angles
Find the area to this please
Answer:
35
Step-by-step explanation:
please mark brainiest
What’s the value of x
Answer:
x = 19
See picture attachment for full explanation and step by step process...
2/3 is greater than, less than it equal to 5/8
Answer:
greater than it
Step-by-step explanation:
Answer:
[tex] \frac{2}{3} > \frac{5}{8} \\ \frac{2}{3} \: greater \: \: \: than \frac{5}{8} [/tex]
which expression is equivalent to 9x2 − 16
Answer:
[tex]9 \times 2 - 16 \\ 18 - 16 = 2[/tex]
How do I solve -7+m=8?
Answer:
m = 15
Step-by-step explanation:
to evaluate for the expression -7+m=8?
solution
-7+m=8?
collect the like terms
m = 8 + 7
m = 15
Find the 72nd term of the arithmetic sequence 11, 7,3,...
Answer:
3124
Step-by-step explanation:
Answer: -273
Step-by-step explanation: To determine the 72nd term, we will want use our explicit formula which is shown below.
[tex]^{a}n = ^{a}1 + (n - 1)d[/tex]
Since we want to find the 72nd term, the [tex]^{a}n[/tex]
in the formula will be changed to [tex]^{a} 72[/tex].
Also, the 72 will be substituted in for the n
that is inside the set of parentheses.
Then [tex]^{a} 1[/tex] will be the 1st term given in our sequence or 11.
Lastly, the d outside the parentheses is the difference between
each of the terms in the sequence which is -4.
So we now have [tex]^{a} 72 = 11 + (72 - 1)(-4)[/tex].
Now we have all the information we need.
Now we can simplify from here.
Make sure to apply your order of operations because
this is where a lot of students make mistake.
Start simplifying inside the parentheses!
(72 - 1) is going to be 70.
So we have [tex]^{a} 72 = 11 + (71)(-4)[/tex].
Then, we have to multiply before we add.
So (71)(-4) is going to be -284.
So we have [tex]^{a} 72 = 11 + (-284)[/tex].
Solving from here, 11 + (-284) simplifies to -273.
This means that the 72nd term of this sequence is -273.
Find the measure of Arc JN
Find the measure of arcJN=
Find the m
Step-by-step explanation:
[tex]m(arc \: JN) = 360 \degree - (60 \degree + 150 \degree) \\ \hspace{57pt}= 360 \degree - 210 \degree \\ \hspace{57pt} = 150\degree \\ \\ m \angle K = \frac{1}{2} \times m(arc \: JN) \\ \hspace{30pt}= \frac{1}{2} \times 150\degree \\ \hspace{30pt} = 75\degree \\ [/tex]
What is the height of our classroom door is it a statistical or non statistical question
Answer:
to me should be statistical question
Step-by-step explanation:
not statistical would be only getting one answer but you could have the height in inches, centimeters, feet, meters, etc. which would count as more then one answer being statistical
Can someone please explain how to solve this question? I will give thanks and 5 stars! Whoever answers, thank you!
Answer:
33 1/3%
Step-by-step explanation:
When you roll a die, the possible outcomes are 1,2,3,4,5,6
getting a number less than 5: 1,2,3,4
P( getting a number less than 5)
= number of outcomes that meet conditions / total outcomes
=4/6
= 2/3
Then we flip a coin heads or tails
We want heads
P (heads) = number of outcomes that meet conditions / total outcomes
= 1/2
Since the event outcomes do not depend on each other
P( getting a number less than 5) *P (heads) = 2/3 * 1/2 = 1/3
as a percent
= 33 1/3%