A customer randomly chooses lunch consisting of a soup, salad, and sandwich. How many possible outcomes are in the sample space?
The sample space for this experiment consists of 12 possible outcomes.
What is a sample space?The sample space is a collection of all possible outcomes of an experiment.
There are three types of soups, two types of salads, and two types of sandwiches. Therefore, the sample space consists of 3x2x2 = 12 possible outcomes.
There could be a tomato soup, a spinach salad, and a turkey sandwich, which would be one possible outcome in the sample space. There could also be a minestrone soup, a Caesar salad, and a grilled cheese sandwich, which would be another possible outcome in the sample space.
Therefore, the sample space for this experiment consists of 12 possible outcomes, each of which is unique and representative of the customer's randomly chosen lunch.
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In this figure, AB∥CD and m∠1=110°. What is m∠5 ? 90° 180° 70° 110°
Answer:
110 hope u get a good grade:) add me on ig welia.martinez
.
Step-by-step explanation:
Which equation has exactly ONE solution?
Answer:
I believe B could be wrong
Data was collected on h, the number of hot dogs sold, and p, the number of people attending a fair over a two week period. The least squares regression line has equation 0. 6p10. 0. The residual for the day when 520 people attended was 35. How many hot dogs were sold that day?.
There were 357 dogs that were sold that day.
What is least squares regression line?
The line that best matches a linear connection between two variables in data is called a least-squares regression line because it minimizes the vertical distance between the data points and the regression line.
The given equation is,
y = 0.6p + 10.0
The residual for the day when 520 people attended was 35.
So, p = 520.
Plug 520 in the above equation, we get
y = 0.6(520) + 10.0
y = 312 + 10
y = 322
As, people attended was 35
So,
y = 322 + 35
y = 357
Hence, there are 357 dogs are sold that day.
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The weather forecast calls for a total of 16 inches of snow over the next week. If it is estimated that 2.8 inches of snow will fall on Monday, 3.4 inches of snow will fall on Tuesday, 1.6 inches of snow will fall on Wednesday, 2.1 inches of snow will fall on Thursday, 1.7 inches of snow will fall on Friday, and 2.9 inches of snow will fall on Saturday. How much snow should fall on Sunday?
A.
3.2 inches
B.
3.6 inches
C.
1.5 inches
D.
0.5 inches
The rectangular floor of a classroom is 24 feet in length and 40 feet in width. A scale drawing of the floor has a length of 6 inches. What is the area, in square inches, of the floor in the scale drawing?
Answer:
60 square inches
Step-by-step explanation:
Measure of length in scale drawing = Measure of actual length
6 inches = 24 feet
∴ 1 inch = \(\frac{24}{6}\) feet
∴Unit multiplier applied:
∴1 inch in scale drawing = 4 feet of actual measurement
Measure of width in scale drawing = Measure of actual width
x inches = 40 feet
∴ x inches = (40 feet) × (\(\frac{1 inch}{4 feet}\))
Measure of width in scale drawing = 10 inches
Area of rectangular floor in the scale drawing = (Length) × (Width)
= (6 inches) × (10 inches)
= 60 square inches
use the pythagorean theorem to find the value of c.
Answer:
c = \(\sqrt{296}\)
Step-by-step explanation:
Using Pythagoras' theorem in the right triangle , with c the hypotenuse
c² = 10² + 14² = 100 + 196 = 296 ( take the square root of both sides )
c = \(\sqrt{296}\) ≈ 17.2 ( to 1 dec. place )
Completely factor the polynomial. 12x2 2x - 4 2(3 x 2)(2 x - 1) (3 x 2)(4 x - 2) 2(6 x2 2 x - 1) (6 x 4)(2 x - 1)
The completely factored form of the polynomial is :\(\(12x^2 + 2x - 4 = 2(2x + 4)(3x - 1)\)\)
To completely factor the polynomial \(\(12x^2 + 2x - 4\)\), we need to find expressions that can be multiplied together to obtain the given polynomial.
First, we can look for common factors. In this case, all the coefficients are divisible by 2, so we can factor out a 2:
\(\(2(6x^2 + x - 2)\)\)
Now, we focus on factoring the quadratic expression \(\(6x^2 + x - 2\)\). We need to find two binomials that, when multiplied, give us this quadratic.
To factor \(\(6x^2 + x - 2\)\), we look for two numbers whose product is equal to \(\(6 \times -2 = -12\)\) and whose sum is equal to the coefficient of the middle term, which is 1.
After trying different combinations, we find that the numbers 4 and -3 satisfy these conditions:
\(\(6x^2 + x - 2 = (2x + 4)(3x - 1)\)\)
Putting it all together, the completely factored form of the polynomial is:
\(\(12x^2 + 2x - 4 = 2(2x + 4)(3x - 1)\)\)
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F(x)=-4x+3 vertical translation of 5 units down
Answer:
Gigi Jojo Jojo hip-hop Dutch him
so do Cob zoom from chick dunno drink gum
Step-by-step explanation:
hjjjhb. bjkn
jkk.
hj. hm.
gin
ghb.
8vb.
ucnluh itg.hboy
Chloe can read 75 words in 45 seconds. At this rate, how many words can she read in 15
minutes
Answer:
1500
Step-by-step explanation:
Belle collects books and is working on building a small personal library. She would like to have at least 500 books in her library. She currently has 182 books. She plans to add at least 5 new books per month to her collection.Which inequality represents Belle’s book collection progress per month ()?
Answer:
182 + 5t \(\geq\) 500
Step-by-step explanation:
Alek and Ann start walking around a track at the same time and at the same place. It takes Ann 6 minutes to walk around the track, and it takes Alek 8 minutes. After how many minutes will they reach the starting point at the same time
Answer:
3 3/7 minutes
Step-by-step explanation:
This calculated using the formula:
1/x + 1/y = 1/n
Where
x = Number of minutes it took Ann to walk = 6 minutes
y = Number of minutes it took Alek to walk = 8 minutes
n = Number of minutes it would take An and Alek to reach the starting point at the same time
1/6 + 1/8 = 1/n
Lowest Common Denominator = 24
4 + 3/24 = 1/n
7/24 = 1/n
Cross Multiply
7n = 24
n = 24/7
n = 3 3/7 minutes
It would take them 3 3/7 minutes to reach the starting point at the same time.
solve by substitution x-y=2, y=4-2x
Answer:
(2,0)
Step-by-step explanation:
x-y=2, y=4-2x
1. rearrange the first equation
x-y=2 write the equation
(x-)x-y=2(-x) subtract x from both sides
-y=2-x write the equation
divide both sides by -y
y=-2+x
2. graph the equations and get (2,0)
Help me please I need help♀️♀️♀️♀️♀️
Answer
Part A : 16
Part B
Daves Prism is 60 cubic inches in volume while olgas is 16
60-16= 44
A. 7.6
B.9
C.7.1
D.8 units
HELPP PLEASEE
Answer:it will be c
Step-by-step explanation:
9514 1404 393
Answer:
C. 7.1
Step-by-step explanation:
The distance is found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((1-(-6))² +(1-2)²) = √(7² +(-1)²) = √50
d ≈ 7.07107 ≈ 7.1 . . . . . matches choice C
Among the SPI model, which one has the best flexibility, and which one has the best optimization? Please explain why?
Among the three variants of the SPI (Specific, Precise, and Impression) model, the Specific model exhibits the best flexibility, while the Impression model demonstrates the best optimization.
The Specific model excels in flexibility because it focuses on generating highly specific responses. It tends to produce detailed and accurate information based on the given input.
This flexibility allows users to obtain precise answers to their queries, making it particularly useful for tasks requiring specific knowledge, such as providing instructions, explaining concepts, or offering specific recommendations.
The Specific model's ability to generate focused responses enhances its flexibility for various use cases.
On the other hand, the Impression model stands out in optimization. It excels at generating responses that are more creative, imaginative, and subjective.
It has been optimized to prioritize generating impressive or entertaining output. This model is particularly suited for tasks that require engaging and captivating content, such as storytelling, generating ideas, or creative writing.
The Impression model's optimization focuses on generating outputs that leave a lasting impression on the audience, making it the best choice for such scenarios.
In summary, while the Specific model offers the best flexibility by providing specific and detailed information, the Impression model shines in optimization, generating impressive and captivating responses.
The choice between the two depends on the specific requirements of the task at hand, whether it demands precision or creativity.
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a pizza provides 8 grams of fat and 300 total calories in one slice. what is the percentage of calories as fat in this pizza slice? hint: use the formula: (no.of calories from fat / total calories) x 100
The 24% of the calories in one slice of pizza come from fat.
To find the percentage of calories from fat in one slice of pizza, we use the formula:
(Calories One gram of fat provides 9 calories, so 8 grams of fat provide 8 x 9 = 72 calories.
Therefore, the percentage of calories from fat in one slice of pizza is:
(72 / 300) x 100 = 24%
Calories are units of energy that a food or drink produce. we can normally find calorie numbers listed on food items, and wearables like the best fitness trackers allow you monitor how many calories you are burning by doing different activities.
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The area of a circle is 25 pi feet squared what is the circumference of the circle
Answer:
The area of a circle is given as pi*r^2. Now the circumference of a circle is 2*pi*r = 2*pi*5 = 10*pi. The required circumference is 10pi or 31.42 units. Given the area of the circle is 25pi.
Step-by-step explanation:
Find Sn for the following geometric sequences described.
From the question, the sum of each of the geometric sequence are;
1) 31 3/4
2) 340
3) 11/16
4) -6, 12, -24
What is geometric sequence?
We have that;
Sn = a(1 -\(r^n\))/1 - r
Sn = 16(1 \(- (1/2)^7\))1 - 1/2
Sn = 16(1 - 1/128)/1/2
Sn = 16(127/128) * 2
Sn = 31 3/4
2) Un = a\(r^n\) -1
256 = \(4(4)^n-1\)
64 =\(4^n-1\)
\(4^3 = 4^n-1\)
n = 4
Sn= \(4(4^4 - 1)\)/4 - 1
Sn = 340
3) Since we have a5 then n = 5
Sn = 1(1 - (\(-1/2)^5\))/1 -(-1/2)
Sn = 33/32 * 2/3
= 11/16
4) 30= a(1 -\((-2)^4\))/1 - (-2)
30 = a(-15)/3
30 = -5a
a = 30/-5
a = -6
Then the first three terms are;
-6, 12, -24
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What's the answer?
A) Y= 2x
B) Y= -2x - 4
C) Y= 2x - 2
D) Y= 2x + 2
Hi!! I'd love to help!!
The slope of your points is 2.
When we use the slope intercept formula (y=mx+b), we get y=2x-2.
So the answer to your question is C
Hope this helps!! Let me know if you need any more help or have questions/concerns.
Select the expression that represents the following problem: A glass hols 1/4 liter of liquid. How many glasses of liquid are in 5 liters
1 glass..........1/4 liter
n glass.......... 5 liters
n = 1 x 5 : 1/4
n = 5 x 4
so there are 20 glasses
If the cost of a bat and a baseball combined is $1.10 and the bat costs 41.00 more than the ball, how much is the ball?
ps only wrote that so this won't get deleted but you could still solve if you want
anyway what type of shoes y'all prefer nikes or jordans
Answer:
wachu wachu wa
Step-by-step explanation:
m = -(4+ m) +2
what is m?
Answer:
m = -1
Step-by-step explanation:
\(m = - (4 + m)\)
Use - to open the bracket
\(m = - 4 - m + 2\)
Collect like terms and simplify
\(m + m = - 4 + 2 \\ 2m = - 2\)
Divide both sides of the equation by 2
\( \frac{2m}{2} = \frac{ - 2}{2} \)
Simplify
\(m = - 1\)
5. What is 75% of 50?
Answer:
37.5
Step-by-step explanation:
multiply 50 by .75
same as
50/4=12.5+25=37.5
Let u = (-3, 4), v = (2,4) , and w= (4,-1) . Write each resulting vector in component form and find the magnitude
-2 w+3 v
Let u = (-3, 4), v = (2,4) , and w= (4,-1) . The magnitude of the vector (-2w + 3v) is 14.14. The component form of the resulting vector is (-2, 14).
The resultant vector is given by -2w + 3v. Let's first multiply each vector by its scalar coefficient.
-2w = -2 (4, -1) = (-8, 2) & 3v = 3 (2, 4) = (6, 12)
Now, we add the vectors coordinate-wise to get the final vector:-2w + 3v = (-8, 2) + (6, 12) = (-2, 14).Thus, the vector is given by (-2, 14).
Now, we can calculate its magnitude using the formula:|(-2, 14)| = sqrt((-2)^2 + 14^2) = sqrt(200) = 14.14.
Therefore, the magnitude of the vector (-2w + 3v) is 14.14.The component form of the resulting vector is (-2, 14).
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2,000 points to whoever answers first
Answer:
I found the answers to be c and d
Step-by-step explanation:
D is obvious because team A has 91 which is larger than 90 and C as well because the minimum and the maximum are more diverse and cover a wider range of numbers
Say B is a symmetric matrix. If (1,1,1) is an eigenvector corresponding to eigenvalue 1, (1,-2,1) is an eigenvector corresponding to -1 and the determinant of B is 1. Find B
Let B be a symmetric matrix. (1,1,1) is an eigenvector corresponding to eigenvalue 1, and (1,-2,1) is an eigenvector corresponding to -1. It is known that B is a symmetric matrix, and the determinant of B is 1.To solve the problem, we will use the fact that B is a symmetric matrix.
Since it is symmetric, any two of its eigenvectors are orthogonal. We can use the eigenvectors and their eigenvalues to find the matrix. Let's calculate the third eigenvector first. Since the determinant of B is 1, the product of the eigenvalues is 1.
We know two of the eigenvalues and can calculate the third one:$$\lambda_1 \cdot \lambda_2 \cdot \lambda_3 = 1 \Rightarrow \lambda_3 = -1.$$Now we have three orthogonal vectors, which we can normalize to length one.$$e_1 = \frac{1}{\sqrt{3}}(1,1,1), \ e_2 = \frac{1}{\sqrt{6}}(1,-2,1), \ e_3 = \frac{1}{\sqrt{2}}(1,0,-1).$$We can write the matrix as$$B = \lambda_1 e_1 e_1^T + \lambda_2 e_2 e_2^T + \lambda_3 e_3 e_3^T.$$
Now we just have to plug in the values for $\lambda_1$ and $\lambda_2$ and simplify. We can calculate$$B = \frac{1}{3}\begin{pmatrix} 1 \\ 1 \\ 1 \end{pmatrix} \begin{pmatrix} 1 & 1 & 1 \end{pmatrix} - \frac{1}{6}\begin{pmatrix} 1 \\ -2 \\ 1 \end{pmatrix} \begin{pmatrix} 1 & -2 & 1 \end{pmatrix} - \begin{pmatrix} 1 \\ 0 \\ -1 \end{pmatrix} \begin{pmatrix} 1 & 0 & -1 \end{pmatrix}$$$$= \frac{1}{3} \begin{pmatrix} 1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1 \end{pmatrix} - \frac{1}{6} \begin{pmatrix} 1 & -2 & 1 \\ -2 & 4 & -2 \\ 1 & -2 & 1 \end{pmatrix} - \begin{pmatrix} 1 & 0 & -1 \\ 0 & 0 & 0 \\ -1 & 0 & 1 \end{pmatrix}$$$$= \begin{pmatrix} \frac{4}{3} & -\frac{1}{3} & -\frac{1}{3} \\ -\frac{1}{3} & \frac{16}{3} & \frac{1}{3} \\ -\frac{1}{3} & \frac{1}{3} & \frac{4}{3} \end{pmatrix}.$$Hence, the matrix B is $$\begin{pmatrix} \frac{4}{3} & -\frac{1}{3} & -\frac{1}{3} \\ -\frac{1}{3} & \frac{16}{3} & \frac{1}{3} \\ -\frac{1}{3} & \frac{1}{3} & \frac{4}{3} \end{pmatrix}.$$
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Linear vs non linear functions
I’m completely confused on how to do linear vs non linear functions. Does anyone have step by step on how to do them?
Answer:
A linear function has a constant rate of change. A nonlinear function does not
Also, Lnear functions show a straight line when they are graphed and nonlinear functions don't.
My advice is to graph it and look at the points.
Good luck! Pls give brainliest!
Answer:
See Picture & I hope this helps!:)
Step-by-step explanation:
a varies jointly with b and c. a=10 b=5 and c=15. find c when a=15 and b=10
Let's begin by identifying key information given to us:
\(\begin{gathered} a\alpha bc\Rightarrow a=kbc \\ a=kbc \\ a=10,b=5,c=15 \\ \text{Substitute these into the equation, we have:} \\ 10=k\cdot5\cdot15 \\ 10=75k\Rightarrow75k=10 \\ 75k=10 \\ k=\frac{10}{75}=\frac{2}{15} \\ k=\frac{2}{15} \\ \\ When;a=15,b=10 \\ a=kbc \\ 15=\frac{2}{15}\cdot10\cdot c \\ 15=\frac{2\cdot10}{15}c \\ 15=\frac{20}{15}c \\ 15\cdot15=20c\Rightarrow225=20c \\ 20c=225 \\ c=\frac{225}{20}=11.25 \\ c=11.25 \end{gathered}\)Find the volume.
V=1/3h(a^2+ab+b^2)
Answer:
1092 in³Step-by-step explanation:
We have formula and values given:
V = 1/3h(a² + ab + b²)h = 12 ina = 5√7 ina = 2√7 inSubstitute the values and calculate:
V = 1/3*12*[(5√7)² + (5√7)(2√7) + (2√7)²] =
= 4*(25*7 + 10*7 + 4*7) =
= 4* 273 =
= 1092 in³