Answer:
x=1
Step-by-step explanation:
(x+2)-10=4x-6+x
3x+6-10=5x-6
3x-5x-4=-6
-2x-4=-6
-2x=-6+4
-2x=-2
2x=2
x=2/2
x=1
In the telemarketing industry, one successful sale in one hundred calls is considered success. That is, the probability of success is 1/100 and the probability of failure is 99/100 What is the probability of making 2 sales in 100 calls? Use your calculator.
Answer:
0.1849 = 18.49% probability of making 2 sales in 100 calls
Step-by-step explanation:
For each call, there are only two possible outcomes. Either it is a success, or it is not. The probability of a call being a success is independent of any other call. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of success is 1/100
This means that [tex]p = \frac{1}{100} = 0.01[/tex]
What is the probability of making 2 sales in 100 calls?
This is P(X = 2). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{100,2}.(0.01)^{2}.(0.99)^{98} = 0.1849[/tex]
0.1849 = 18.49% probability of making 2 sales in 100 calls
ILL GIVE BRAINLEST:))
Answer:
2 and 3
Step-by-step explanation:
2) If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
side ratio: 1/4------- area ratio: 1²/4² = 1/16 = 1:16 ratio
3)If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.
The ratio of the perimeters is the same as the scale factor.
scale 1:4
An architect is planning a new town square. The square has sides that are 35 feet long. A walkway will also cut diagonally through the square. How long will the diagonal walkway be?
9514 1404 393
Answer:
49.5 ft
Step-by-step explanation:
The diagonal of a square is √2 times its side length. This means the length of the walkway will be ...
(35 ft)√2 ≈ 49.5 ft . . . walkway length
A pyramid is 24 feet tall a scaled model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model.
Multiple Choice Answers:
1/12
1/24
12
24
Answer:
1/12
Step-by-step explanation:
Given the following :
Actual height of pyramid = 24 ft
Dimension of scaled model :
Height = 2ft ; width = 1ft
a scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.
Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.
(Height of scaled model / height of actual pyramid)
(2ft / 24ft) = 1/12
Eight trials are simulated. The results are shown in the table. Simulation 112 106 105 110 109 108 111 105 What is the estimated margin of error, using standard deviation? Enter your answer, rounded to two decimal places, in the box.
Answer:
2.33
Step-by-step
i took the test :)
The margin of error of the 8 simulations is 0.89z
How to determine the margin of error?The dataset is given as:
112 106 105 110 109 108 111 105
Using a graphing calculator, the standard deviation is:
σ =2.53
The margin of error is then calculated using:
[tex]E = z * \frac{\sigma}{\sqrt n}[/tex]
Where z represents the critical value
So, we have:
[tex]E = z * \frac{2.53}{\sqrt 8}[/tex]
Evaluate
E = 0.89z
Read more about margin of error at:
https://brainly.com/question/10218601
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Which statement correctly explains whether Limit of h (x) as x approaches 9 exists?
Answer:
The answer is A
Step-by-step explanation:
"The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9" is correct edg 2021
The correct statement is "The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9".
What is a one-sided limit for function of a single variable?In rough terminologies, the limit from one side is when we only use one side of the function with respect to the considered point of interest (in input) to predict the value of the function at that point.
For a limit of a function f(x) to exist at a point a,
[tex]\lim_{x \to a^-} f(x) = \lim_{x \to a^+} f(x)[/tex]
That is, it has to approach (a) from both sides toward the same value, thus it cannot be oscillating.
From the table, looking at the value of slightly less than 9,
[tex]\lim_{x \to 9^-} f(x)= 4.73[/tex]
Looking at the value of slightly more than 9,
[tex]\lim_{x \to 9^+} f(x) = -4.73[/tex]
Since the lateral limits are different, the limit does not exist.
The correct statement is "The limit does not exist because the values of h(x) seem to oscillate between random values around x = 9".
Learn more about limits;
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Work out the value of x
Step-by-step explanation:
X+3X+90=360
4X+90=360
4X=360-90
4X=270
270÷4=67.5
X=67.5 degrees
Subtract 5 from square of b
Answer:
b²-5
.................
Sarah drove 116 miles in 4 hours. If she drove at a constant rate, how far did she travel each hour?
Answer:
28 because 116÷4=29 so she traveled 28 miles per hour
Answer:
Sarah drove 29 miles per hour.
Step-by-step explanation:
116 divided by 4 is 29.
What is the volume of the rectangular prism?
Answer:
[tex]10 feet^3[/tex]
Step-by-step explanation:
trading r turtle I’m trying to get rid of it
Find the area of this parallelogram.
13 cm
15cm
20cm
I am sorry but there is no parallelogram
What is the volume of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.
1 ft
cubic feet
Answer:
Solution given
r=1ft
π=3.14
now
Volume of sphere=⁴/3 πr³=⁴/3×3.14×1³=4.186ft³
=4ft³
You are given a line with a slope of -4. What would the slope of a parallel line be?
A rug has an area of 33 ft squared what is the closest to the length of each side?
A.5 1/4
B. 5 3/4
C.8 1/4
The answer sheet says b but I keep getting C and I don’t know why
Answer:
The is is 8.25 or 8 1/4.
Step-by-step explanation:
Just divide 33 by 4 to get your answer.
Johnnas reading rate is 150 words per minute she is reading a 364 page book that has about 275 words on each page at this rate which is the closest to the amount of times johnna should take to read the book
Answer:
11 hrs 1 min (i think so based on math)
Step-by-step explanation:
If Johnna's reading rate is 150 words per min and there are 364 pages with about 275 words, you need to multiply 364 and 275 to get 100100 and divide that by 150 to get 667.3333333 round to the nearest tenth which will give you 667.3 and divide that by 60 because there are 60 minutes in an hour to get 11.12222222 and round that to the nearest tenth to get 11.1 which means it will take Johnna 11 hours and 1 minute to read the book. I hope this is correct I'm really sorry if it isn't. :P
If f(x) = x^2 + 2x - 4 and g(x) = - 4x +1, what is (g-f)(x)?
===================================================
Work Shown:
(g - f)(x) = g(x) - f(x)
(g - f)(x) = (-4x+1) - (x^2+2x-4)
(g - f)(x) = -4x+1 - x^2-2x+4
(g - f)(x) = -x^2+(-4x-2x)+(1+4)
(g - f)(x) = -x^2 - 6x + 5
among 210 student 85 price in English 125 price in Nepali and 25 failed in both subject find the number of students who passed in both subjects and illustrate the result obtained when diagram
Answer:
210=85+125-x+25
x= 235-210
x=25 failled in both
Step-by-step explanation:
Write down two factors of 18
Answer:
1, 2, 3, 6, 9, 18
Step-by-step explanation:
please help!!! im really confused abt this
The picture demonstrates the greenhouse effect because all the grass within the rectangle is green. This is due to the fact that it received the nutrients it required. Carbon dioxide molecules provide the initial greenhouse heating needed to maintain water vapor concentrations. When carbon dioxide concentrations drop, Earth cools, some water vapor falls out of the atmosphere, and the greenhouse warming caused by water vapor drops.
Q3. The average of following number is 5. The numbers
are 2, 3, 4, 5, 6, and x , What is the value of x ?
Answer:
x = 10
Step-by-step explanation:
2+3+4+5+6 = 20
(20 + x) / 6 = 5
cross-multiply:
20 + x = 30
x = 10
Answer:
x = 10
Step-by-step explanation:
There are 6 numbers in total: 2, 3, 4, 5, 6, and whatever x is. In order for the average to be 5 in this scenario, all numbers must add up to 30, because 30/6 = 5.
2 + 3 + 4 + 5 + 6 = 20. 30-20=10. This means x would need to equal 10.
Help please will mark brainliest!
Answer:
Step-by-step explanation:
I'm gaAy and I want some imma boy
The scatterplot shows because the values of y as the values of x increase.
Answer: The scatterplot shows a positive correlation because the values of y increase as the values of x increase.
Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? 0.5
Answer:
The scatterplot shows a positive correlation because the values of y increase as the values of x increase.
Which of the following is the best approximation of the correlation coefficient for the data displayed in the scatterplot? 0.5
Step-by-step explanation:
I hope that helps!!!!!!!!!!
What is the arc measure of major arc ADE in degrees?
* Will Mark BRAINLIEST * fast plss!! *easy*
I think it might be B or D.
(Pre-Algebra)
(08.02)How many solutions are there for the system of equations shown on the graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answer:
One Solution (C)
Step-by-step explanation:
This is one solution because they only intersect once. No solution=no intersect 2 solution=intersect twice infinite solutions= same line
[tex]tan20+4sin20=\sqrt{3}[/tex]
tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × 2 Sin(20).Cos(20)/ Cos(20) =
Sin( 20 ) + 2 × Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Sin( 40 ) / Cos( 20 ) =
Sin( 20 ) + 2Cos( 50 ) / Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
________________________________
2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
_________________________________
Sin( 20 ) + 2Cos ( 20 + 30 ) / Cos( 20 ) =
Sin( 20 ) + √3 Cos(20) - Sin(20) / Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....
I need help will give out Brainlyest
Answer:
[tex] \frac{6}{6 - 2} = \frac{6}{4} = \frac{3}{2} [/tex]
Answer:
[tex] \rm \rightharpoonup \: f(x) = \frac{x}{x - 2} \\ \rm \rightharpoonup \: f(6) = \frac{6}{6 - 2} \\ \rm \rightharpoonup \: \frac{6}{4} \\ \rm \rightharpoonup \: \frac{3}{2} [/tex]
Hence option A is correctFind the volume of each figure. Round your answer to the nearest tenth, if necessary
Answer:
V = 168 km³
Step-by-step explanation:
We are given a triangle prism.
Volume of a triangle prism = ½*a*c*h
Where,
a = 8 km
c = 6 km
h = 7 km
Substitute
V = ½*8*6*7
V = 4*6*7
V = 168 km³
I need help plz help
Answer
its C my dear
Step-by-step explanation:
Q3)
Find the Correlation of the following two variables
X: 2, 3, 5, 6
Y: 1, 2, 4, 5