If three different orders are selected, find the probability that they are all from Restaurant B is; 0.026
How to find the probability?Total orders both accurate and not accurate = 1131
Total orders from restaurant B (both accurate and not accurate) = 337
Probability of first order from B = 337/1131
Probability of second order from B = 336/1130
Probability of third order from B = 335/1129
Probability of the first three orders from B = 337/1131 × 336/1130 × 335/1129
Probability of the first three orders from B = 0.026
Complete question is;
Use the data in the following table , which lists drive - thru order accuracy at popular fast food chains Assume that orders are randomly selected from those included in the table Drive thru Restaurant A B C D Order Accurate 312 277 250 144 Order Not Accurate 32 60 37 19 If three different orders are selected , find the probability that they are all from restaurant A
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Translate the triangle.
Then enter the new coordinates.
Answer:
A 3 1 B 2-4 C4-3 then work x and y graph
does anyone want to play tarkov and run customs or something lol? add me on disc destructer11#0001
Answer:
Step-by-step explanation:
Mabye later
Kylie is writing a persuasive essay for English class. The essay has to present her opinion and evidence for constructing that opinion. The essay has to have a minimum word count of 150 words and a maximum word count of 500 words.
Which compound inequality represents the length, w, of the essay?
500 ≤ w ≤ 150
150 ≥ w
500 ≤ w
150 ≤ w ≤ 500
Answer:
The last answer is correct.
Step-by-step explanation:
The w stands for the number of words that she can have. She has to have at least 150 words so the w has to be equal to 150 or greater. The w also has to be less then or equal to 500
(-1,1) (0,-1) (5,-11) (10,-21) what is the domain of the set of ordered pairs above?
Answer:
domain =(-1,0,5,10)to find domain just take the first values of each ordered pairs.
range=(1,-1,-11,-21)to find range take the second values of the ordered pairs.
what is the length and width
Answer:
Step-by-step explanation:
144,72
Answer:
If you cut the rectangle in half, you have two squares of area 144 ft², or side length 12 ft.
The length of the rectangle is 24 ft; its width is 12 ft.
What part of this question is an hour
y
T
N
9
6
U
3
M
What is the value of y?
3√3 units
6√3 units
O
9√3 units
O 12√3 units
The value of y from the given figure is 6√3
Pythagoras theoremFrom the given figure, according to the theorem;
H² = 6² - 3²
H² = 36 - 9
H² = 27
H = 3√3
Determine the value of y using the same theorem;
y² = 9² + ( 3√3)²
y² = 81. + 27
y = √108
y = 6√3
Hence the value of y from the given figure is 6√3
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Which two factors are needed to calculate the velocity of an object?
A. Speed
B. Direction
C. Mass
D. Acceleration
N=
Help me please!!! Asap thanks so much :)
Answer:
n = 100
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
given A = 40π , then
πr² × [tex]\frac{n}{360}[/tex] = 40π
π × 12² × [tex]\frac{n}{360}[/tex] = 40π
144π × [tex]\frac{n}{360}[/tex] = 40π ( divide both sides by π )
144 × [tex]\frac{n}{360}[/tex] = 40 ( multiply both sides by 360 to clear the fraction )
144n = 14400 ( divide both sides by 144 )
n = 100
Instructions: Find the surface area of the figure below. Round your answers to the nearest tenth, if necessary.
The surface area of the figure given is of: 61.3 yd².
What is the combined surface area of a figure?The combined surface area of a figure is the area of each figure.
This figure is composed by:
A circle of radius 3 yd.A triangle with base 6 yd and one leg 11.4 yd.The area of the circle is given as follows:
[tex]A = \pi r^2 = \pi \times 3^2 = 9\pi[/tex]
For the triangle, we need to find it's height, which is the leg of a right triangle, in which one of the sides is 3 and the hypotenuse is 11.4, hence:
h² + 3² = 11.4²
[tex]h = \sqrt{11.4^2 - 3^2}[/tex]
h = 11 yd.
Hence the area of the triangle is:
A = 0.5 x 6 x 11 = 33 yd²
The surface area of the figure is:
9pi + 33 yd² = 61.3 yd².
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On their website, a property management company states that the mean monthly rent for apartments on the east side of town is $700. A researcher for a consumer advocacy group believes that, due to the construction of newer apartment complexes in neighboring towns, the mean monthly rent on the east side, , is now lower. A random sample of 12 monthly rents for apartments on the east side has a mean of $687, with a standard deviation of $17. Assume that current monthly rents for apartments on the east side are approximately normally distributed. Based on the sample, is there enough evidence to conclude, at the 0.05 level of significance, that the population mean monthly rent is now less than what is stated on the website?
Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places.
(a) State the null hypothesis and the alternative hypothesis . (b) Determine the type of test statistic to use. (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Can we conclude that the mean monthly rent for apartments on the east side is less than what is stated on the website?
The null hypothesis is μ≥700 and alternative hypothesis is μ<700, the type of test statistic is t statistic, the statistical test value is -2.650, the critical value is -1.796 and the null hypothesis is reject.
Given the average monthly rent for apartments on the east side of the cities is $700, and the mean for a random sample of 12-month rents for apartments on the east side is $687, with a standard deviation of $17.
Statistical hypothesis testing is an important technique in inferential statistics. Used to test hypotheses about population parameters. Statistical tests are used to compute test statistics and p-values. Finally, use this test statistic and the p-value to make a decision about rejecting the null hypothesis.
(a) Let μ be the population and monthly rent. the null and alternative hypotheses are given below.
Null Hypothesis: μ≥700
Alternative hypothesis: μ< 700 This is a left-sided hypothesis test.
(b) Here, the sample size is less than 30 and the population mean is unknown. Therefore, a one-sample t-test can be used here. Therefore, the t statistic is the test statistic.
(c) Given [tex]\bar{x}[/tex]=687, s=17 and n=12, the test statistic is computed as
[tex]\begin{aligned}t&=\frac{\bar{x}-\mu_{0}}{s/\sqrt{n}}\\ &=\frac{687-700}{17/\sqrt{12}}\\ &=-2.64901888216\\ &=-2.650\end[/tex]
(d) For n-1=12-1=11 degrees of freedom
The critical value for a significance level of 0.05 with 11 degrees of freedom is
[tex]\begin{aligned}t_{crit}&=-1.7959\\ &=-1.796\end[/tex]
(e) Reject the null hypothesis because the statistical test value (-2.650) is less than the critical value (-1.796). There is ample evidence to support the claim that the average monthly rent for East Side apartments is lower than stated on the website.
Hence, The value of test statistic and critical value has a mean of $687 and a standard deviation of $17, which are -2.650 and -1.796.
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An interior wall is made up of metal studs with 5/8 gypsum board on each side if the actual width of a stud is 3 5/8 what is the total thickness of the wall
A pyramid with a rectangular base is stacked on top of rectangular prism. The height of the composite figure is 10. The lengths of the rectangular base are 8 and 6 units. The height of the rectangular prism is 4. Which expression represents the volume, in cubic units, of the composite figure
The expression that represents the volume of the composite figure is: 1/3(8)(6)(6) + (8)(6)(4).
What is the Volume of a Composite Figure?The volume for the given composite figure = volume of the rectangular pyramid + volume of rectangular prism.
= 1/3(l)(w)(h) + (l)(w)(h)
Thus, with the given dimensions, plug in the values to get the expression represents the volume of the composite figure:
Volume = 1/3(8)(6)(6) + (8)(6)(4)
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Find the h.c.f of {x}^{3} + {y}^{3} \: and \: \: {x}^{2} - xy + {y}^{2}x 3 +y 3 andx 2 −xy+y 2
Factorize the sum of cubes:
[tex]x^3 + y^3 = (x+y) (x^2 - xy + y^2)[/tex]
so [tex]x^2-xy+y^2[/tex] is a factor of [tex]x^3+y^3[/tex]. Then the HCF is [tex]\boxed{x^2 - xy + y^2}[/tex].
What is the x-coordinate of the point that divides the directed line segment from j to k into a ratio of 2:5? x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 –4 –2 2 4
The x-coordinate of the point is -2
How to determine the coordinates of point C?The points are given as:
J = (-6, -2)
K = (8, -9)
m : n = 2 : 5
The x-coordinates of the point is calculated as:
[tex]jk = \frac{m}{m+n} *(x_2 -x_1) +x_1[/tex]
So, we have:
[tex]jk = \frac{2}{2+5} *(8+6) -6[/tex]
This gives
[tex]jk = \frac{2}{7} *14 -6[/tex]
So, we have:
jk = 4 - 6
Evaluate
jk = -2
Hence, the x-coordinate of the point is -2
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What is the size of exterior angle of regular polygon which has interior angle of 120 degree?
Answer: 60 degrees
Step-by-step explanation:
An interior angle of a polygon and its corresponding exterior angle are supplementary (add to 180 degrees).
Do you think any resulting prediction would be more or less reliable than your original one?
No, The resulting prediction would be more or less reliable than your original one.
Importance:
Prediction is a forecast or a prophecy. An example of a prediction is a psychic telling a couple they will have a child soon, before they know the woman is pregnant. A statement of what will happen in the future.
Predictions provide a reference point for the scientist. If predictions are confirmed, the scientist has supported the hypothesis. If the predictions are not supported, the hypothesis is falsified. Either way, the scientist has increased knowledge of the process being studied.
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Look at the image below.
6
13
12
Find the area of the parallelogram.
square units
Answer: 72 square units
Step-by-step explanation:
[tex]A=Bh=6(12)=72[/tex]
Answer:
72 SQUARE UNITS
Step-by-step explanation:
What are the coordinates of vertex A of square ABCD
A(-1,-6)
B(-1,-2)
C(-1,6)
D(-2,1)
The given points on the final image A''B''C''D'', and the transformation gives;
The coordinates of the vertex A of square ABCD is the option;
D. A(-2, 1)
How can the coordinate of the point A on the pre-image be found?From the figure, we have;
A''(-5, -3), B''(-3, -1), C''(-1, -3), D''(-3, -5)
The given transformation is presented as follows;
[tex] T_{ (- 4 , \: - 1)} \circ \:R_ {( O , \: 90^{ \circ} )}[/tex]
The formula for a rotation of 90° about the origin is presented as follows;
(x, y) rotation of 90°→ (-y, x)Therefore;
(-y, x) reverse rotation of 90°→ (x, y)Therefore;
A''(-5, -3) → A'(-5 + 4, -3 + 1) = A'(-1, -2)
B''(-3, -1) → B'(-3 + 4, -1 + 1) = B'(1, 0)
C''(-1, -3) → C'(-1 + 4, -3 + 1) = C'(3, -2)
D''(-3, -5) → D'(-3 + 4, -5 + 1) = D'(1, -4)
A'(-1, -2) rotation of 90° reverse → A(-2, 1)The coordinates of the vertex A of square ABCD is therefore;
D. A(-2, 1)
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Square A"B"C"D" has vertex A" at (-5, -3), the coordinates of vertex A before the transformation is A(-2, 1)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Rigid transformation is a transformation that preserves the shape and size of a figure such as translation, reflection and rotation.
Square A"B"C"D" has vertex A" at (-5, -3), the coordinates of vertex A before the transformation is A(-2, 1)
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A red team, blue team and green team were playing a game. The 3 people on the red team each lost 15 points. The 6 people on the blue team each gained 14 points. The 5 people on the green team each lost 11 points.
1. What is the total gain/loss for each team? Write your answer as a integer.
Team red:
Team blue:
Team green:
2. The twist in this game is that you need to multiply your final score by -6. Who won the game and what was their final score? The team with the greatest integer wins.
Team————wins with———-points.
Which of the following terms are possible in the domain of a sequence? Select all that apply.
The terms that are possible on the domain of a sequence are given as follows:
13, 25, 60.
What is a sequence?A sequence is a list containing numbers, that may be related or not. It has a 1st term, 2nd term, and so on until the nth term.
The domain is the indexes of the terms, which starts at one and goes until n, hence the possible numbers are:
13, 25, 60.
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The expression 40x²-65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the
interior angles of the pentagon are equal, which expression represents the measure of two angles?
Answer:
[tex]16x^2-26x+20[/tex]
Step-by-step explanation:
Since it represents the sum of interior angles, the angle is essentially: [tex]angle + angle + angle + angle + angle[/tex], and there are 5 angles since a pentagon has 5 interior angles. To find what one interior angle is, we simply divide the polynomial by 5, to do this we can just divide each coefficient by 5 (distributing the division): [tex]\frac{40x^2-65x+50}{5} = \frac{40x^2}{5} - \frac{65x}{5} + \frac{50}{5}[/tex] this simplifies to: [tex]8x^2-13x+10[/tex]. This represents what one of the interior angles is. Since we want an expression measuring two of the angles, we simply multiply this polynomial by 2, to do this we just multiply each coefficient by 2 (distributing the 2): [tex]2(8x^2-13x+10) = 16x^2-26x+20[/tex] which is the solution
It cost Cai $1,80 to send 12 text messages, How much would it cost to send 90 text
messages?
Answer:
$13.5
Step-by-step explanation:
cost of 1 text message= $1.80÷12 =$0.15
cost of 90 messages = $0.15×90 = $13.5
Answer: $13.50 for 90 text messages
Step-by-step explanation:
$0.15×90 = $13.5
$0.15 is the unit rate for 1 text message cost.
Rita divides avogadro’s number (approximately 6.02214 times. 1023) by 2.055 to calculate the number of atoms in a sample. which expression gives her result to the correct number of significant figures? 2.93 times. 1023 2.930 times. 1023 2.9305 times. 1023 2.93048 times. 1023
The correct answer is 2.930 × [tex]10^{23}[/tex]
What is Avogadro's number?
Avogadro's number, which is equal to 6.02214076 1023, is the quantity of units in one mole of any material (defined as its molecular weight in grams). Depending on the substance and the nature of the reaction, the units may be electrons, atoms, ions, or molecules (if any).
You have two numbers here. While number 2.0550 is stated with five significant figures, Avogadro's number is supplied with four. This implies that you must provide four significant figures with your result.
(6.022 × [tex]10^{23}[/tex]) / 2.0550 = 2.930 × [tex]10^{23}[/tex]
Therefore, the correct answer is 2.930 ×[tex]10^{23}[/tex] .
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what is the scale factor from ABC to DEF
Answer:
the scale factor from triangle ABC to triangle DEF would be 8
Step-by-step explanation:
the triangle DEF was actually flipped from triangle ABC
1.line AB corresponds to line EF
AB = 6 , and EF = 48
we multiply 6 by "8" to get to 48
2.line BC corresponds to line ED
BC = 6 , and ED = 48
we multiply 6 by "8" to get to 48
3.line AC corresponds to line FD
AC = 6 , and FD = 48
we multiply 4 by "8" to get to 32
I hope this help
Consider triangle DEF. The legs have a length of 36 units each. What is the length of the hypotenuse of the triangle 18 units units 36 units units
Answer:
(っ◔◡◔)っ ♥ 36 square root 2 ♥
Step-by-step explanation:
The length of the hypotenuse of the triangle is approximately 48.99 units.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
We can use the Pythagorean theorem to find the length of the hypotenuse of the triangle:
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
Substituting the values given in the problem.
c² = 18² + 36²
c² = 324 + 1296
c² = 1620
Taking the square root of both sides.
c = √(1620)
Simplifying.
c = 6 √(90) or approximately 48.99
Therefore,
The length of the hypotenuse of the triangle is approximately 48.99 units.
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PLESSEE HELP ME ASAPP
Answer:
option A. is the midpoint of the graph
This question is down below. Please solve in detail if you know how to solve.
Answer:
8.4 meters tall ( one decimal place)
Step-by-step explanation:
See diagram below:
find distance 'd' as tan 68 = opp / adj = d/6
then d = 6 tan 68 = 14.85 m
Then find h as tan 9 = h / d
d tan 9 = h
14.85 tan 9 = h = 2.35 m tall
add the 6 m height of the house 8.4 m tall
PLSSS HELP
Refer to your answers to the questions from Part 2 of Project 1.
A parabola goes through (negative 3, 3) & (1, negative 1). A point is below the parabola at (negative 3, 2). A line above the parabola goes through (negative 3, 4) & (0, 4). A point on the parabola is labeled (x, y).
What is the correct standard form of the equation of the parabola?
Enter your answer below. Be sure to show each step of your work.
The correct standard form of the equation of the parabola is:
[tex](x+3)^{2}[/tex]= 4(y - 3).
What is a parabola?An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.
For the given question,
Vertex of parabola is (-3,3)
Thus, the equation of the parabola is:
[tex](x-h)^{2}=4(y-k)[/tex]
[tex](x+3)^{2}[/tex]= 4(y-3)
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The field width of thestadium is 40m lessthan its length. The total length of the rectangular boundary of the open space in canopy is 420m. Frame a suitable
equation for the given situation and also find the length and width of the field in the stadium.
Answer:
I may have misubderstood the question, so review carefully.
width = 380 m
length is 420 m
Step-by-step explanation:
Let w and l stand for the width and length of the stadium.
We are told that w = l - 40 m
We also learn that l = 420 m
w = l - 40 m
w = (420 m) - 40 m
width = 380 m
length is 420 m