The table below represents the data collected at a sandwich shop for the last six months with respect to the type of bread people ordered (sourdough or wheat) and whether or not they got cheese on their sandwich.
Are the events “sourdough” and “with cheese” independent events? Explain why or why not using probabilities. Show all work to receive full credit.
Answer:
First, add totals to the table (see attachment)
Let S = Sourdough
Let C = With cheese
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(S)=\dfrac{1225}{3125}=\dfrac{49}{125}[/tex]
[tex]\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}[/tex]
[tex]\implies \sf P(S \cap C)=\dfrac{800}{3125}=\dfrac{32}{125}[/tex]
For independent events S and C,
[tex]\sf P(S \cap C)=P(S)P(C)[/tex]
[tex]\sf\:As\quad P(S) \cdot P(C)=\dfrac{49}{125} \cdot \dfrac{16}{25}=\dfrac{784}{3125}[/tex]
[tex]\sf And\quad \dfrac{32}{125} \neq \dfrac{784}{3125}[/tex]
[tex]\sf Then \quad P(S \cap C)\neq P(S)P(C)[/tex]
So the events are NOT independent
Gio is solving the quadratic equation by completing the square. 5x2 15x – 4 = 0 what should gio do first? isolate the constant. factor 5 out of the variable terms. isolate the variable x. add 9 to both sides of the equation.
The complete square of the given polynomial is
[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]
What is the completing the square method?For solving the quadratic equation by completing the square, we first need to ensure that the constant of the square variable is unit.
Following are the steps involved
[tex]5x^2+15x-4=0[/tex]
divide both side by 5
[tex]x^2+3x-\frac{4}{3}=0[/tex]
add 9 on both sides of the equations
[tex]x^2+3x-\frac{4}{3}-9/4+ 9/4=0[/tex]
[tex]x^2+3x+ 9/4=\frac{4}{3}+9/4\\(x+3/2)^2=43/12[/tex]
Therefore we the complete square of the given polynomial is
[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]
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Answer:
A
Step-by-step explanation:
what are these shapes called?
Pyramid, rectangular prism, and triangular prism?
Answer:
the nets are for 3Dshapes
Step-by-step explanation:
the drawing shown are nets
This is math. Please help due soon.
Answer:
A (0,6) B (6, 1) C (2,2)
Step-by-step explanation:
A (4, 4)
[-4, 2]
Subtract 4 - 4 = 0 and then add 4+2 since both of them are positive. Do it for all of the coordinates
Image Coordinates:
A----->A¹(0,6)
B----->B¹(2,3)
C----->C¹(-2,4)
4 over 11 of 77 ( 4 over 11 is supposed to be a fraction)
Answer:
28
Step-by-step explanation:
4 x 77 / 11 x 1 = 308 / 11
308/11 = 28 11/11 = 1
the answer is 28 / 1
Hey there!
4/11 of 77
= 4/11 * 77/1
= 4(77) / 11(1)
= 77(4) / 1(11)
= 77 + 77 + 77 + 77 / 11
= 154 + 154 / 11
= 308 / 11
= 28
Therefore, your answer is: 28
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the solution to the equation shown below ?
6=-2/5 ( p-5)
Answer:
p=-10
Step-by-step explanation:
6=-2(p-5)/5
6=-2p+10/5
x5 to both sides to get rid of denominator
30=-2p+10
-10 from both sides to get rid of it on the right
20=-2p
divide by -2 from both sides to get p by itself to know its value
20/-2=-10 so....
p=-10
The forecast for Wednesday is literally changed to a high 70 without calculating the new mean describe have the changes that mean high temperature for the next five days
Heating and Cooling Degree Days
Degree days are based on the assumption that when the outside temperature is 65°F, we don't need heating or cooling to be comfortable. Degree days are the difference between the daily temperature mean, (high temperature plus low temperature divided by two) and 65°F. If the temperature mean is above 65°F, we subtract 65 from the mean and the result is Cooling Degree Days. If the temperature mean is below 65°F, we subtract the mean from 65 and the result is Heating Degree Days.
Step-by-step explanation: Example 1: The high temperature for a particular day was 90°F and the low temperature was 66°F. The temperature mean for that day was:
( 90°F + 66°F ) / 2 = 78°F
Because the result is above 65°F:
78°F - 65°F = 13 Cooling Degree Days
Example 2: The high temperature for a particular day was 33°F and the low temperature was 25°F. The temperature mean for that day was:
( 33°F + 25°F ) / 2 = 29°F
Because the result is below 65°F:
65°F - 29°F = 36 Heating Degree Days.
The calculations shown in the two examples above are performed for each day of the year and the daily degree days are accumulated so that we can compare months and seasons.
You are a payroll supervisor. You need to summarize work hours for an employee. The number of hours the
employee worked each week for seven consecutive weeks were 38, 37. 5, 38. 25, 35. 75, 39. 5, 39. 5, and 38. 5.
What, approximately, is the mean number of hours this employee worked each week for the seven weeks?
O 37. 63
O 37. 92
O 38. 14
O 38. 25
39. 5
Answer:C. 38.14
Step-by-step explanation:
The required mean of the given data is given as the employee worked 38.14 hours through 7 weeks.
Given that,
The number of hours the employee worked each week for seven consecutive weeks was 38, 37. 5, 38. 25, 35. 75, 39. 5, 39. 5, and 38. 5.
The mean of the values is the ratio of the total sum of values to the number of values.
here,
According to the question,
Mean = Sum of the working hours/number of weeks
Mean = 38 + 37. 5 + 38. 25 + 35. 75 + 39. 5 + 39. 5 + 38. 5 / 7
Mean = 267/7
Mean = 38.14
Thus, the required mean of the given data is given as the employee worked 38.14 hours through 7 weeks.
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A bag contains 6 red marbles, 8 blue marbles and 4 green marbles. If two marbles are drawn out of the bag, what is the probability, to the
nearest 1000th, that both marbles drawn will be blue?
Please help if you can!!!
Answer:
0.111
The probability of two blue marbles being drawn from the bag to all marbles is [tex]\frac{2}{18}[/tex], and [tex]\frac{2}{18}~-- > ~0.111[/tex] rounded to nearest thousandth.
Questions?Ask in the comments box.
please answer this two math question.
Answer:
haha hut dog hahah ayoko nga
Bob and Ted are in the plumbing business. Bob can do the plumbing hook-up for a new house in 4 hours; Ted does the same job in 6 hours. If they work together, how long will they take to hook up the plumbing in one house? 5 hours 2.4 hours 2.1 hours
Answer:
5 Hours
Step-by-step explanation:
Bob needs atleast 4 hours to do his work
Ted needs atleast 6 hours
Bob is going to help ted speed up a little
2.4 and 2.1 are to fast because bib needs 4 hours and ted needs 6 so the meet in the middle and get 5.
Hope this helps!
Jaden is studying abroad for a semester.
He can choose the first semester or second
semester, then choose France, Spain,
Germany, Italy, or Japan.
Using the Fundamental Counting Theorem, it is found that he has 10 possible options to choose from.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the semester, he has 2 possible options, hence [tex]n_1 = 2[/tex].For the country, he has 5 possible options, hence [tex]n_2 = 5[/tex].The total number of options is given by:
N = 2 x 5 = 10.
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Write the equation of a line with a slope of 5 and a y-intercept of (0, 3). Write the equation in slope-intercept form.
What is the distance between A(7, 4) and B(2, -8)?
Answer:
13 units
Step-by-step explanation:
Distance formula:
d = [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
In this problem,
d = [tex]\sqrt{(7 - 2)^2 + (4 - -8)^2}[/tex]
d = [tex]\sqrt{(5)^2 + (12)^2}[/tex]
d = [tex]\sqrt{25 + 144}[/tex]
d = [tex]\sqrt{169}[/tex]
d = 13
Which is the BEST estimate for the value of x?
PLEASE HELP ILL GIVE BRAINLIEST!!!
The act of collecting data that are representative of the population data is called _________.
Answer: Random Sampling
Step-by-step explanation:
The act of collecting data that are representative of the population data is called random sampling.
How many packs of dvds can u but with 165 if one costs 15 dollars
Answer: You can buy 11 DVD’s with $165
Step-by-step explanation:
165 divided by 15= 11
Please answer this question for points.
16 x 7 x 15 + 11 + 17
Try Ur best and take Ur time.
Answer:
1,708?
Step-by-step explanation:
pretty sure this is the answer
Wich equation shows ax - w = 3 solved for w
Answer:
Answer depends on the value you put
Step-by-step explanation:
let's say a= 3 and x =4 then,
or 3*4 -w = 3
or 12 - w = 3
or -w = 3- 12
or -w = -9
or w = 9
just put any value in a and x and you will get the answer
Which of the given set of angles CANNOT form a right triangle?
a
30º, 90º, and 60º
b
90º, 45º, and 45º
c
22º, 22º, and 136º
d
35º, 55º, and 90º
Answer:
The answer for your question is C. 22°, 22°, and 136°.
Explanation:
A right triangle will always have one angle that is 90°.
All of the other options have a 90° angle, so your answer is C.
Hope this helps!
How can we determine the difference between a pyramid and a prism? Select all that apply.
The number of vertices is always equal to the number of sides for a prism but not a pyramid.
There is only one base for a pyramid.
The faces of prisms are triangles.
The faces of pyramids are triangles.
The faces of prisms are rectangles.
The faces of pyramids are rectangles.
Answer:
B. There is only one base for a pyramid.
D. The faces of pyramids are traingles.
E. The faces of prisms are rectangles.
Step-by-step explanation:
The difference between a pyramid and a prism is:
There is only one base for a pyramid.
The faces of pyramids are triangles.
The faces of prisms are rectangles.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The number of vertices is always equal to the number of sides for a prism but not a pyramid.
The faces of pyramids are triangles while the faces of prisms are rectangles.
A prism has two parallel bases and its other faces are rectangles.
A pyramid has a single base and its faces are triangles.
A prism also has the same number of vertices as its number of sides, but this is not true for a pyramid.
Thus,
The difference between a pyramid and a prism is:
There is only one base for a pyramid.
The faces of pyramids are triangles.
The faces of prisms are rectangles.
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Find BC in angle ABC
Round to the nearest tenth.
BC=?
Answer:
BC ≈ 18.7
Step-by-step explanation:
using the sine rule in Δ ABC
[tex]\frac{BC}{sinA}[/tex] = [tex]\frac{AC}{sinB}[/tex] ( substitute values )
[tex]\frac{BC}{sin67}[/tex] = [tex]\frac{20}{sin80}[/tex] ( cross- multiply )
BC × sin80° = 20 × sin67° ( divide both sides by sin80° )
BC = [tex]\frac{20sin67}{sin80}[/tex] ≈ 18.7 ( to the nearest tenth )
maribel surveyed 55 people to find out their favorite types of music. the results are shown in the bar graph. what percent of the people like country and opera combined?
15 people liked country, and 10 people liked opera, so 10+15 = 25.
25 people combined
(09.06 MC) A mechanic gives a survey to all of his customers asking them to rate the quality of the service they received. He then keeps track of how many customers return to the shop for additional services during the next six months. Last year, the results showed that of the customers who reported high quality service, 20% returned for additional services. What conclusion can be drawn from this study? (6 points)
Answer: Most customers who rate their service as high quality return for additional services.
Step-by-step explanation: just took the test :)
What was the experimental probability of choosing a blue marble from a bag?
Answer:
7/20
Step-by-step explanation:
There were 20 tries, and 7 of them(blue picks) were desired outcomes.
Brianna is graphing the function f(x) = x2 6x 5. what x-intercepts should brianna use to graph f(x)? –5 and –1 –5 and 1 –1 and 5 1 and 5
The value of the x of the equation x² + 2x = 24 is negative 5 and negative 1, then the correct option is A.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression equation is given below.
f(x) = x² + 6x + 5
On factorization, we have
x² + 6x + 5 = 0
x² + 5x + x + 5 = 0
(x + 5)(x + 1) =0
x = -1, -5
The value of x is –5 and –1.
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
A) -5 and -1
Step-by-step explanation:
Got it right on edge!
if I made 136$ and gave 35% to my brother how much would he get
Answer:
47.6
Step-by-step explanation:
35% x 136
= (35/100)*136
_________________
Step 1: In the given case Output Value is 136
Step 2: Let us consider the unknown value as x
Step 3: Consider the output value of 136 = 100%
Step 4: In the same way, x = 35%
Step 5: On diving the pair of simple equations we got the equation as under
136 = 100% (1).
x = 35% (2).
(136%)/(x%) = 100/35
Step 6: Reciprocal of both the sides results in the following equation
x%/136 = 35/100
Step 7: Simplifying the above obtained equation further will tell what is 35% of 136
x = 47.6%
Therefore, 35% of 136 is 47.6
Someone pls help me answer this pls
Answer:
5^15
Step-by-step explanation:
Using the laws of powers, you can multiply 5^3 out of its bracket and get 5^27. Then, once again, using the laws of powers, you can get 5^15 by subtracting the powers.
Answer:
(5^3)^9/5^12 is equivalent to 5^15
Step-by-step explanation:
Begin by simplifying (5^3)^9
To make it much easier, apply the power rule. (a^x)^y = a^xy)
Multiply 3 x 9 = 27... so we get 5^27
Next, instead of dividing 27/12, which will result in a decimal..you must do 27-12, which is applying the quotient rule. (a^x / a^y = a^x-y)
5^27/5^12 = 5^27-12 = 5^15
( When I use /, it signifies to divide.)
So, (5^3)^9/5^12 is equivalent to 5^15! Hope this helps! :D
An investment of $1,500 is earning 7% simple interest each year how much will the investment be worth after one year
Answer:
1500 * 0.07 = 105
105 + 1500 = 1605
Step-by-step explanation: