Answer:
20People
Step-by-step explanation:
Buying of a picture = $4
if the total revenue made after people bought it was $80
Total number of people who bought it
= $80/$4
=20People
PLS HELP I WILL REWARD BRAINIEST
Answer:
1/3 divided by 4
Step-by-step explanation:
Because you start off with 1/3 and then you split it into 4, 1/12's and 4*1/12 is equal to 1/3
So the answer is 1/3 divided by 4
2x - 3
L
M
x + 4
X =
?
Answer: 7
Step-by-step explanation:
2x - 3 = x + 4
2x - x - 3 = 4 Mius x from the both side
x - 3 = 4
x = 7 Add the 3 from both side
Suppose that a random sample of 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods. (a) the normal approximation to the binomial (Round your answer to four decimal places.) (b) the exact binomial tables (Round your answer to three decimal places.)
Answer:
a) 0.0618 = 6.18% probability that the sample will contain at least three defectives.
b) 0.076 = 7.6% probability that the sample will contain at least three defectives
Step-by-step explanation:
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.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Sample of 20 items is selected from the machine.
This means that [tex]n = 20[/tex]
5% defectives
This means that [tex]p = 0.05[/tex]
(a) the normal approximation to the binomial
The mean is:
[tex]\mu = E(X) = np = 20*0.05 = 1[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.05*0.95} = 0.9747[/tex]
The probability is, using continuity correction, [tex]P(X \geq 3 - 2.5) = P(X \geq 2.5)[/tex] , which is 1 subtracted by the pvalue of Z when X = 2.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 1}{0.9747}[/tex]
[tex]Z = 1.54[/tex]
[tex]Z = 1.54[/tex] has a pvalue of 0.9382
1 - 0.9382 = 0.0618
0.0618 = 6.18% probability that the sample will contain at least three defectives.
(b) the exact binomial tables
This is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.358[/tex]
[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.377[/tex]
[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.189[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.358 + 0.377 + 0.189 = 0.924[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.924 = 0.076[/tex]
0.076 = 7.6% probability that the sample will contain at least three defectives
PLZ HURRY, TIMED, WILL MARK BRAINLIEST********
K [Not drawn to scale] Which is true about the diagram? Select two options. MZIKH+MZIKL= 180° MZIKLU MZILK+mZKIL = 180° DmZJKH= MZJLK O MZIKLU MZILK= 90° OmZKIL= MZKLJ
a sector has a radius of 4 and a central angle of 40 degrees. Find the arc length and area of sector
Answer:
Step-by-step explanation:
θ = 2π/9 radians
arc length = rθ = 8π/9 units
area of sector = πr²/9 = 16π/9 square units
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
15
12
Answer:
x = 9
Step-by-step explanation:
[tex]a^{2} = c^{2} - b^{2}[/tex]
[tex]a^{2} = 15^{2} - 12^{2}[/tex]
[tex]a^{2} = 225 - 144[/tex]
[tex]a^{2} = 81[/tex]
[tex]\sqrt{a^2} = \sqrt{81}[/tex]
[tex]a = 9[/tex]
Question 3:
Hank is throwing a party. The party costs $20 per person. Answer the questions below to describe the relationship between the cost of the party and the number of friends attending.
The independent variable is .
The dependent variable is .
The equation that can be used to represent this relationship:
If 50 people attended, what would be Hank's cost?
(Only input numeric values, no commas, decimal points, or symbols.)
Answer:
$1000
Step-by-step explanation:
It would be $1000 in total of all the people attending the party. This is because, you need to multiply, 50 and 20! The answer will be 1000.
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
Please solve the following problem.
Express the complex number [tex]z = 8 \text{cis} \frac{2\pi}{3}[/tex] in rectangular form [tex]a+bi[/tex].
Answer:
- 4 + 4√3 i, where a = -4 & b = 4√3
Step-by-step explanation:
z = 8 cis(2π/3)
z = 8 [cos(2π/3) + i sin(2π/3) ]
z = 8 [cos(π - π/3) + i sin(π - π/3)]
z = 8 [ - cosπ/3 + i sin(π/3)]
z = 8[ - 1/2 + i √3/2 ]
z = - 4 + 4√3 i [in a + bi form]
Note that: cis x = cosx + i sinx
Answer:
[tex]a + bi = - 4 + 4 \sqrt{3} i[/tex]
Step-by-step explanation:
we are given [tex]\displaystyle cis(\dfrac{2\pi}{3})[/tex]
recall complex number trigonometric form:
[tex] \displaystyle \: r( \cos( \theta) + i \sin( \theta) )[/tex]
we are already given that [tex]\theta=\dfrac{2\pi}{3}[/tex]
recall complex number rectangular form
[tex] \displaystyle \: a + bi[/tex]
where [tex]\displaystyle a=r\cos(\theta)\: and\: b=r\sin(\theta)[/tex]
let's work with a:
substitute the value of [tex]\theta[/tex] and r
[tex] \displaystyle \: a = 8 \times \cos( \frac{2\pi}{ 3} ) [/tex]
recall unit circle
so [tex]\cos(\dfrac{2\pi}{3})[/tex] should be in Q:II
[tex] \displaystyle \: a = 8 \times - \frac{1}{2} [/tex]
simplify multiplication:
[tex] \displaystyle \: a = - 4[/tex]
let's work with b:
substitute the value of [tex]\theta[/tex] and r:
[tex] \displaystyle \: b = 8\sin( \frac{3\pi}{2} ) [/tex]
recall unit circle so [tex]\sin(\dfrac{3\pi}{2})[/tex] should be in Q:II
[tex] \displaystyle \: b = 8 \times \frac{ \sqrt{3} }{2} [/tex]
simplify:
[tex] \displaystyle \: b = 4 \sqrt{3} [/tex]
so
[tex] \displaystyle \: b i= 4 \sqrt{3} i[/tex]
hence,
[tex]a + bi = - 4 + 4 \sqrt{3} i[/tex]
Dawn bought 12 grams of chocolate. She ate half of the chocolate. How many grams of chocolate did she eat
HELP I WILL GIVE BRAINLEIST OR WHATEVER 50 POINTS
answer:
a. scarf costs today = $6
b. scarf costs 3 days from now = $3
step-by-step explanation:
1/2 off means you would multiply the amount by 1/2 then subtracta. original price of scarf: $12
12 X 1/2 = 6
12 - 6 = 6
— scarf costs today = $6
do the same thing but this time it is a different numberb. 12 X 3/4 = 9
12 - 9 = 3
— scarf costs 3 days from now = $3
Find the area of the figure.
Answer:
840cm² its 840cm²
Find the distance, c, between (–2, 4)
and (3, –1)
on the coordinate plane. Round to the nearest tenth if necessary.
Answer:
d ≈ 7.07Steps:
d = √( (3-(-2))² + (-1-4)² )
d = √( (3+2)² + (-1-4)² )
d = √( 5² + (-5)² )
d = √( 25 + 25 )
d = √50
d ≈ 7.07On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles?
350d ___ 1,400
(> or < or less than/more than equal to)
Answer:
It will take them 4 days to travel 1400.
Step-by-step explanation:
350d (x 4) = 1400
A right prism has height 8 and triangular bases with sides of length 7, 8, and 9. What is the: Total surface area of the prism?
Answer:
the total surface area of the prism is 245.67
Step-by-step explanation:
Given;
height of the triangular prism, h = 8
length of the triangular bases, = 7, 8, and 9
The total surface area of the prism is calculated as;
T.S.A = ph + 2B
Where;
p is the perimeter of the base
B is area of the base
P = 7 + 8 + 9 = 24
Area of the base can be calculated using Hero's formula;
[tex]S = \frac{7+8+9}{2} = 12\\\\Base \ area (B) = \sqrt{12(12-7)(12-8)(12-9)} = 26.833[/tex]
T.S.A = (24 x 8) + 2 x 26.833
T.S.A = 192 + 53.666
T.S.A = 245.67
Therefore, the total surface area of the prism is 245.67
HELP PLS QUICK!MIGHT GIVE BRAINLIST IF TWO PEOPLE ANSWER!
Answer: A=bh to find the area of parallelograms.
Step-by-step explanation:
Ran has 17 cameras to clean. He cleans 10 cameras.Then rah finds 8 more cameras to clean. How many cameras does ran has to clean now?
Answer:
total of 25 to clean.
did 10
has 15 left
Answer: 15
Step-by-step explanation:
Ran Needs to clean 17 cams... he already cleaned 10, so subtract 17-10... it would be 7
he finds 8 cams to clean... so we add 8+7... and it becomes 15...
brainliest appreciate
Simplify: 17b + 82c + 90 + e - 18 - 10c - b
which of the following phrases describes the expression 2 - 2x
Answer:c
Step-by-step explanation:cccccc
What's the measure of angle B in degrees?
Answer:
angle B is 27 degrees.
Step-by-step explanation:
A new car is purchased for 20000 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year, how long will it be until the value of the car is 5700 dollars?
The number of years before the new car becomes $5700 is 11.4 years.
How long would it take the value of the car to become $5700?Depreciation is when the value of an asset declines with the passage of time.
Number of years = (In FV / PV) / r
r = rate of depreciation FV = future value of the carPV = purchase value of the car(IN 5700 / 20,000) / 0.11 = 11.4 years
To learn more about depreciation, please check: https://brainly.com/question/25552427
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WILL MARK!
For parallelogram ABCD, find x.
Answer:
x = 16
Step-by-step explanation:
If the figure is a parallelogram, the opposite sides are the same length
3x+20 = 5x-12
Subtract 3x from each side
3x+20 -3x = 5x-12-3x
20 = 2x-12
Add 12 to each side
20+12 = 2x-12+12
32 = 2x
Divide each side by 2
32/2 = 2x/2
16 =x
What is the first and second step to solving -16=2a-8
What is the solution to the problem
Determine whether the given scenario meets the criteria of a binomial distribution. If not, identify the requirement that is not satisfied. If there is more than one requirement that is not satisfied, please indicate this by selecting the correct choice below. You ask ten randomly chosen college students to rate their experience at the dining hall on a scale of 1-5.
a. Yes, this scenario can be modeled using a binomial distribution.
b. No, there is no fixed number of trials and there are more than two possible outcomes for each trial.
c. No, there are more than two possible outcomes for each trial.
d. No, there is no fixed number of trials.
Answer:
c. No, there are more than two possible outcomes for each trial.
Step-by-step explanation:
Binomial probability distribution:
Only two possible outcomes, success or failure.
In each trial, the probability of a success must be the same.
The number of trials must be fixed.
You ask ten randomly chosen college students to rate their experience at the dining hall on a scale of 1-5.
There are 10 trials, which is a fixed number and respects the binomial distribution. However, there are five possible outcomes(numbered 1 to 5). Since there is more than two possible outcomes, the scenario cannot be modeled using a binomial distribution, and the correct answer is given by option c.
The measure of an angle is 149.5°. What is the measure of its supplementary angle?
Answer:
30.5°
Step-by-step explanation:
Supplementary angles add up to 180°. You know one angle is 149.5°, so you can find the other angle.
Measure of its supplementary angle = 180° - 149.5°
= 30.5°
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
add 6 to both sides and dividing both sides by 5.
Answer:
add 6 to both sides then divide both sides by 5
Step-by-step explanation:
50 POINTS + BRAINLIEST
PLEASE DONT STEAL POINTS
Answer:
80-89
Step-by-step explanation:
When you put it in a stem- and - leaf plot, you'll see that 80-89 is the mode interval.
Answer:
80-89
Step-by-step explanation:
That is the range that most students got.
Find the number of distinguishable permutations of the letters in MISSISSIPPI.
Answer:
There are 34,650 permutations of the word MISSISSIPPI - www.medium.com
Which would be a good estimate for the tax on $97.95 if the tax is 9.5%?
$12
$10.50
$10
$8.50
The following data will be used to construct a box plot. What will be the value of the median? 2, 5, 10, 11, 12, 15, 21, 32, 32, 46