The mean weight of the chocolate candies is 0.918 grams, the median weight is 0.913 grams, and the mode (most frequent weights) are 0.957 grams and 0.911 grams.
Explanation:First, let's add all these values of the weights of the chocolate candies up and then divide by the number of observations to find the mean. The total sum is 13.957, and there are 24 observations. So, the mean value is 13.957/24 = 0.918 grams.
Next, we arrange the values in ascending order to find the median. The middle two values in this data set are both 0.913, so the median is 0.913 grams.
Finally, to find the mode we look for the value that occurs most frequently in the data set. Here we see that the numbers 0.957 and 0.911 both appear twice, therefore, our data set has two modes: 0.957 and 0.911 grams.
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what is the independent variable and the dependent variable when a large 2 topping pizza, l, cost 2$ more than a medium 3 topping pizza, m,
Answer:
Although variables wouldn't really fit for this problem, if you were to graph it, the pizza types would be on the x axis and the cost would be on the y axis since the cost of the pizzas technically "depend" on the type of pizza.
What is the place value of the 2 in the 150.1235
The Answer is hundredths
can someone please explain what is happening to rectangle A? Answer choice c says: rotate rectangle A 90 counterclockwise about the origin reflect it over the y axis and translate it 1 unit up. answer D says rotate rectangle a 90° clockwise about the origin and translated 2 units up and 6 units to the right A and B are in the pic.
C is the one you're looking for
How many solutions does the equation 5x + 10 = 5x - 8 have?
Answer:
2
Step-by-step explanation:
Indicate the equation of the given line in standard form. The line with slope and containing the midpoint of the segment whose endpoints are (2, -3) and (-6, 5).
Answer:
x + y = -1
Step-by-step explanation:
To write the equation of a line, find the slope and use it with a point in the point slope form.
You can find the slope using the slope formula.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{5--3}{-6-2} = \frac{8}{-8}=-1[/tex]
Substitute m = -1 and the point (2,-3) into the point slope form.
[tex]y - y_1 = m(x-x_1)\\y --3 = -1(x-2)\\y+3=-1(x-2)[/tex]
Convert to standard form by applying the distributive property and rearranging the terms.
y+3 = -1(x-2)
y + 3 = -x + 2
x + y + 3 = 2
x + y = -1
8000 in scientific notation
The solution to the number 8000 in scientific notation is 8 * 10³
Expressing the number 8000 in scientific notationFrom the question, we have the following parameters that can be used in our computation:
Number = 8000
Multiply the number by 1
So, we have
Number = 8000 * 1
Express 1 as 1000/1000
So, we have the following representation
Number = 8000 * 1000/1000
Next, we have
Number = 8 * 1000
Express 1000 as 10³
So, we have
Number = 8 * 10³
Hence, the solution is 8 * 10³
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need geometry help!
Answer:
1. Area = 113.1 square units
2. Area = 28.27 square units
3. Area of Shaded = 22.27 square units
Step-by-step explanation:
1.
Area of the circle is given by the formula [tex]A=\pi r^2[/tex]
where A is the area and r is the radius
In our case the radius is 6 units, thus we have:
[tex]A=\pi r^2\\A=\pi (6)^2\\A=\pi *36\\A=113.1[/tex]
Area = 113.1 square units
2.
When we have the angle given in radians, the area of sector is given by the formula [tex]A=\frac{1}{2}r^2\theta[/tex]
Where [tex]\theta[/tex] is the central angle ( in our case [tex]\theta = \frac{\pi}{2}[/tex] and r is the radius (it is 6)
Plugging in these info into the formula we have area of sector:
[tex]A=\frac{1}{2}r^2\theta\\A=\frac{1}{2}(6)^2(\frac{\pi}{2})\\A=\frac{1}{2}*36*\frac{\pi}{2}\\A=28.27[/tex]
Area = 28.27 square units
3.
Area of shaded region = Area of Sector - Area of Triangle
We know area of sector is 28.27
Since the angle is 90 degrees, we have a right triangle, we can use the pythagorean theorem to find the height of the triangle, CE.
Thus
[tex]DC^2+CE^2=DE^2\\3^2+CE^2=5^2\\9+CE^2=25\\CE^2=25-9\\CE^2=16\\CE=4[/tex]
The area of triangle is [tex]A=\frac{1}{2}bh[/tex]
where b is the base (in our case it is DC = 3 ) and h is the height (in our case it is CE, which is 4). Plugging into the formula we have the area of triangle as:
[tex]A=\frac{1}{2}bh\\A=\frac{1}{2}(3)(4)\\A=6[/tex]
Area of Shaded = 28.27 - 6 = 22.27 square units
What is the surface area of a right circular cylinder with a height of 8 meters and a base whose
radius is 4 meters?
(A)144 m2 (B)96 m2 (C)80 m2 (D)128 m2
Answer:
[tex]S.A=96\pi m^2[/tex]
Step-by-step explanation:
The surface area of a right circular cylinder is given by the formula;
[tex]S.A=2\pi r(r+h)[/tex]
where [tex]h=8m[/tex] is the height of the cylinder and
[tex]r=4m[/tex] is the radius of the cylinder.
We plug in these values into the formula to obtain;
[tex]S.A=2\pi \times4(4+8)[/tex]
[tex]S.A=8 \times12 \pi[/tex]
[tex]S.A=96\pi m^2[/tex]
The mean is defined as the
A. average of a data set
B. range of the data set
C. number that shows up most often in a data set
D. middle of the data set
Solve x 2 - x - 5/2 = 0 using the quadratic formula.
Answer:
your answer would be: x=1±√11 all divided by 2
Hope this helps
~QueenSupreme AKA Trinity
Answer: [tex]\bold{\dfrac{1\pm \sqrt{11}}{2}}[/tex]
Step-by-step explanation:
[tex]x^2-x-\frac{5}{2}=0\quad \text{multiply by 2 to get:}\\\\2x^2-2x-5=0\quad \rightarrow \quad a=2,\ b=-2,\ c=-5\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(2)(-5)}}{2(2)}\\\\\\.\ =\dfrac{2\pm \sqrt{40}}{2(2)}\\\\\\.\ =\dfrac{2\pm \sqrt{44}}{2(2)}\\\\\\.\ =\dfrac{2\pm 2\sqrt{11}}{2(2)}\\\\\\.\ =\boxed{\dfrac{1\pm \sqrt{11}}{2}}[/tex]
Kim's softball team was playing in the championship game. When there were
4
44 innings left, the team was losing by a score of
1
7
1717 to
6
66 points. In the last
4
44 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points.
Answer:
The inequality is
6+4r>17
The miminum number of runs per inning is
3.
Step-by-step explanation:
Solve the system of equations. Y = 2x-2 y = x^2-x-6
Answer: (-1, -4) and (4, 6)
Step-by-step explanation:
The pair of solution to the equations y = 2x - 2 and y = x² - x - 6
are (4, 6) and (-1, -4).
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two equations:
y = 2x - 2
y = x² - x - 6
Equate both equations:
2x - 2 = x² - x - 6
x² - 3x - 4 = 0
Solving using the quadratic formula:
[tex]\rm x_{1,\:2}=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-4\right)}}{2\cdot \:1}[/tex]
x = 4, -1
y = 6, -4
Thus, the pair of solution to the equations y = 2x - 2 and y = x² - x - 6
are (4, 6) and (-1, -4).
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Which quadrant is secant negative and cotangent is positive?
a)Q1
b)Q2
c)Q3
d)Q4
Answer:
c)Q3
Step-by-step explanation:
In the third quadrant, tangent and cotangent are positive while cosine and thus secant are negative. Therefore, the solution is C. Q3
**WILL MARK BRAINLIEST AND THANK YOU**
Find f(-5)
f(x)=-4x+3
A. -17
B. -7
C. 12
D. 23
Answer:
Step-by-step explanation:
f(x) = - 4x + 3
x = - 5
f(- 5) = - 4.(- 5) + 3
f(- 5) = 20 + 3
f(- 5) = 23
Alternative D
I hope I helped you.
Answer:
the answer is D
Step-by-step explanation:
−12 ≤ 44+x
Solve for x
Answer:
[tex]x \geq -56[/tex]
Step-by-step explanation:
You can solve inequalities the same way as equations as long as whenever you multiply or divide by a negative number, or flip fractions, you change the direction of the sign.
We don't have to do that here, here is the worked solution:
[tex]-12 \leq 44 + x[/tex]
[tex]-56 \leq x[/tex]
[tex]x \geq -56[/tex]
Answer:
x ≥ -56
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Hope this helps,
Davinia.
what is the answer to
1/4[2-5x+6]
Answer:
Step-by-step explanation:
(1/4) (2-5x+6)
=(1/4)(8-5x)
= 8/4 - 5x/4
=1/2 - 5x/4
Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756 miles. On one particular trip, they fly into the wind, and the the flight takes 2 hours. The return trip, with the wind behind them, only takes1 1/2 hours. If the wind speed is the same on each trip, find the speed of the wind and find the speed of the plane in still air.
Answer:
Plane = 441 mi/h; wind = 63 mi/h
Step-by-step explanation:
distance = rate × time
Let p = the plane's speed in still air
and w = the wind speed . Then,
p + w = speed with wind
p - w = speed against wind
We have two conditions:
(1) 756 = (p - w) × 2
(2) 756 = (p + w) × 1.5
Distribute the constants (3) 756 = 2p - 2w
(4) 756 = 1.5p + 1.5 w
Multiply Equation (3) by 3 (5) 2268 = 6p - 6w
Multiply Equation (4) by 4 (6) 3024 = 6p + 6w
Add Equations (5) and (6) 5292 = 12p
Divide each side by 12 (7) p = 441 mi/h
Substitute (7) into Equation(3) 756 = 882 - 2w
Add 2w to each side 2w + 756 = 882
Subtract 756 from each side 2w = 126
Divide each side by 2 w = 63 mph
The plane's speed in still air is 441 mi/h.
The wind speed is 63 mph.
Check:
(1) 756 = (441 - 63) × 2 (2) 756 = (441 + 63) × 1.5
756 = 378 × 2 756 = 504 × 1.5
756 = 756 756 = 756
The speed of the plane in still air is 420 miles per hour and the wind speed is 84 miles per hour.
Explanation:To solve Dave and Sandy Hartranft's problem, we set up two equations for flying into and with the wind. For Dave and Sandy flying into the wind, we use the formula speed equals distance over time: P - W = 756 miles / 2 hours. This represents the plane's speed minus the wind speed equaling the distance traveled divided by the time taken. We denote P as plane's speed and W as wind speed.
On the return trip, with the wind behind them, we calculate plane's speed plus the wind speed based on the same formula: P + W = 756 miles / 1.5 hours. Solving these two equations, you get: P = 420 miles per hour (plane's speed in still air) and W = 84 miles per hour (wind speed).
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As of 2008 the longest car ever built was 30.5 meters long. A meter is a little longer than a yard. Estimate the length of this car in feet.
The car would be about 90 ft
What is the surface area of the stand
?
Step-by-step explanation:
first you have to add the PIC to have us answer
What is the radius, diameter, circumference,area of 3.5 cm. Please please help me
Answer:
radius=3.5 Diameter=7 Circumference=21.99 area=38.48
Step-by-step explanation: These are the answers, hope you found them helpful :)
factor 3x^2-19x+20
Final answer:
To factor the expression 3x² - 19x + 20, we find two numbers that multiply to 60 and add up to -19, which are -4 and -15. The expression can then be rewritten and factored by grouping to obtain the factors (x - 5)(3x - 4).
Explanation:
The question asks to factor the quadratic expression
3x² - 19x + 20
To factor this expression, we need to find two numbers that multiply to give the product of the coefficient of x² (which is 3) and the constant term (which is 20), and at the same time, add up to give the coefficient of x (which is -19). The two numbers that satisfy these conditions are -4 and -15, as (-4) * (-15) = 60 and (-4) + (-15) = -19.
Now, we can rewrite the expression by splitting the middle term:
3x² - 4x - 15x + 20
Factor by grouping: x(3x - 4) - 5(3x - 4)
The factors are: (x - 5)(3x - 4)
Kerry is conducting a marketing survey. She mailed 45,128 surveys and received 17,892 responses. Approximately what percentage of people responded to the survey?
Answer:
Approx. 39.7%
Step-by-step explanation:
All you have to do is
17,892÷45,128
Answer:
40 %
Step-by-step explanation:
Percent = Responses/total surveys × 100 %
= 17 892/45 128 × 100 %
≈ 40 %
Approximately 40 % of people responded to the survey.
which statements are true? select each correct answer.
a) 30a^6-24a^2=3à^2(10a^4-8)
b) 24a^4+18=6(4a^⁴+3)
c) 16a^5-20a^3=4a^3(4a^2-5)
D) 12a^3+8a=4(3a^3+2a)
Answer:
All are True
a) 30a^6-24a^2=3à^2(10a^4-8)
b) 24a^4+18=6(4a^⁴+3)
c) 16a^5-20a^3=4a^3(4a^2-5)
D) 12a^3+8a=4(3a^3+2a)
Step-by-step explanation:
a) 30a^6-24a^2=3à^2(10a^4-8)
since; 3à^2(10a^4-8)
= 30a^6 - 24a^2
b) 24a^4+18=6(4a^⁴+3)
Since; 6(4a^⁴+3) opening the brackets
= 24a^4 + 18
c) 16a^5-20a^3=4a^3(4a^2-5)
Since; 4a^3(4a^2-5) , opening the brackets we get
= 16a^5 - 20^3
D) 12a^3+8a=4(3a^3+2a)
Since;4(3a^3+2a), opening the bracket we get;
= 12a^3 + 8a
7/11 as a decimal rounded to 3 decimal places
To round 7/11 to three decimal places, you divide 7 by 11 to get 0.63636..., and then round the result to 0.636 since the fourth decimal place is 6, which mandates rounding up.
Explanation:To convert 7/11 as a decimal rounded to 3 decimal places, you can either use a calculator or do long division. After dividing 7 by 11, you will get a result that must be rounded to maintain only three digits after the decimal point. To round off a decimal number, look at the digit after the place you want to round to. In this case, if you want to round to three decimal places, you will look at the fourth place after the decimal. If this digit is 5 or higher, you round up the third-place digit. If it's lower than 5, you leave the third-place digit as it is.
So, converting 7/11 into a decimal, you get approximately 0.63636... Looking at the fourth decimal place, we see that the digit is 6, which means we round up the third decimal place. So, 7/11 rounded to three decimal places is 0.636.
what is the slope of the line that passes through the points (-5,2) and (-7,6)
Answer:
-2
Step-by-step explanation:
slope is equal to: y2-y1
_______ =
x2-x1
6-2 4
______ = _____ = -2
-7-(-5) -2
Which data could be represented by the box plot shown below?
Answer:
C
Step-by-step explanation:
Find the volume of each of the following rectangular solids. a. l = 6 meters, w = 2 meters, h = 3 meters b. l = 5 feet, w = 10 feet, h = 8 feet
Answer:
a.) is 36 square meters
b.) 400 square meters
Step-by-step explanation:
to find the Volume you must multiply the length, width, and the hight. so to find a.) V = lwh
6 x 2 x 3 = 36
36 square meters.
and you can use the same formula for b.)
Hope this helps!
Please mark as brainliest! Thanks!
Volume of a) 36 cubic meter
Volume of b) 400 cubic feet
What is the formula of volume of rectangular solid ?
Let, Length of the rectangular solid = l unit
Width of the rectangular solid = w unit
And height of the rectangular solid = h unit
Then volume of rectangular solid = l × w × h cubic unit
What is the volume of first rectangular solid ?Given, Length of the rectangular solid = 6 meters
Width of the rectangular solid = 2 meters
And height of the rectangular solid = 3 meters
∴ Volume of the rectangular solid = (6×2×3) cubic meter
= 36 [tex]m^{3}[/tex]
What is the volume of second rectangular solid ?Given, Length of the rectangular solid = 5 feet
Width of the rectangular solid = 10 feet
And height of the rectangular solid = 8 feet
∴ Volume of the rectangular solid = (5×10×8) cubic feet
= 400 cubic feet
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Can anyone please answer this question????I really can't choose which answer to put in here!!!!!!!HELP ME PLEASE!!!!!!!30 points for who answers it.......and it is quite easy.......
Answer:B.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
it is C because A, B, and D are triangular prisms.
When rolling a number cube what is the probability of rolling a number greater than two
Answer:
it is 5/6
Step-by-step explanation:
it's easy. There are 5 numbers that are greater than 2.
Answer: the answer is 2/3 i took the test
The measure of angle between diameter
AB
and chord
AC
is 30°. A tangent to the circle at point C intersects line
AB
at point D. Prove that triangle ACD is isosceles
[tex]AB\: is \:the \:diameter\Rightarrow \widehat{ACB}=90°\Rightarrow \widehat{ABC}=180°-90°-30°=60° \: (1) \\ \bigtriangleup OBC \: has \: OB=OC=R\Rightarrow \bigtriangleup OBC \: is \: an \: isosceles \: triangle \: (2) \\ (1),(2)\Rightarrow \bigtriangleup OBC \: is \: an \: equilateral \: t riangle \Rightarrow \widehat{COB} =\widehat{COD} = 60° \\ CD \: tangents \: (O) \: at \: C\Rightarrow OC\perp OD \: at \: C\Rightarrow \widehat{OCD}=90° \\ \widehat{CDO}=180°-\widehat{OCD}-\widehat{COD}=180°-90°-60°=30° \\ In\: \bigtriangleup ACD,\widehat{CAD}=\widehat{CDA}=30°\\\Rightarrow \bigtriangleup ACD\: is\: an\: isosceles\: triangle\: at\: C[/tex]
Triangle ACD is an isosceles triangle, with AC = AD.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
Let O be the center of the circle, and let E be the point where the tangent line to the circle at point C intersects diameter AB.
Since OC is perpendicular to CE (tangent line at C), and OD is perpendicular to AB, angle ECD and angle OAD are alternate angles, and hence congruent.
Now,
Since the measure of the angle between diameter AB and chord AC is 30°, the measure of angle AOC is 60°.
The measure of angle OAD is also 60°.
Now,
Since angles ACD and OAD are congruent, and angle AOC is 60°,
we have:
angle ACD = angle OAD = 60°
Also,
Since OC is perpendicular to AC (radius of the circle),
we have angle OCA = 90°.
Now,
angle ACB
= angle OCA - angle AC0
= 90° - 30°
= 60°
Since angle ACD is equal to angle ACB, and angle AOC is also equal to 60°,
We have:
angle ACD = angle ACB = 60°
angle AOC = 60°
Therefore,
Triangle ACD is an isosceles triangle, with AC = AD.
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