Answer:
-2.75
Step-by-step explanation:
Based on a survey, assume that 31% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when consumers are randomly selected, exactly of them are comfortable with delivery by drones. Identify the values of n, x, p, and q.
Answer:
P(X = 2) = 0.3157
Step-by-step explanation:
Let assume that the question wants us to determine the probability that, let say when 5 customers are randomly selected, exactly 2 of the customers are comfortable.
Then;
p = 0.31
n = 5; x = 2
q = 1 - p
= 1 - 0.31
= 0.69
∴
The probability mass function is:
[tex]P(X =x) = ^n C_r * p^x *q^{n-x}[/tex]
[tex]P(X =x) = ^5 C_2 * (0.31)^2 *0.69^{5-2}[/tex]
[tex]P(X =2) = \dfrac{5!}{2!(5-2)!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) = \dfrac{5!}{2!(3)!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) = \dfrac{5*4*3!}{2!(3)!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) = \dfrac{5*4}{2!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) =10* (0.31)^2 *0.69^{3}[/tex]
P(X = 2) = 0.3157
This is from the same project that I was struggling with and was similar to the other problem but I couldn't figure it out.
9514 1404 393
Answer:
y = -1/4x^2 -3/2x +3/4
Step-by-step explanation:
You know that vertex form is ...
y = (1/(4p))(x -h)^2 +k
for a focus-vertex distance of p and a vertex of (h, k).
Here, the focus-vertex distance is 2-3 = -1 (difference of y-coordinates), and the vertex is (h, k) = (-3, 3). This means the vertex form equation is ...
y = -1/4(x +3)^2 +3
Expanding the square gives ...
y = -1/4(x^2 +6x +9) +3
y = -1/4x^2 -3/2x +3/4
_____
Additional comment
The square of a binomial is ...
(x +a)^2 = x^2 +2ax +a^2
Select the correct answer from each drop-down menu. The table represents function f, and the graph represents function g.
The line of symmetry for function F is _____
A.Y=9
B.X=-2
C.X=2
D.Y=9
and the line os symmetry for function G is____
A.x=1
B.y=7
C.x=-1
D.y=-7
The y-intercept of function F is____
A.less than
B.equal to
C.greater than
The y-intercept of function G.
Over the interval [2,4] the average rate of change of function F is _____
A.greater than
B.equal to
C.less than.
the average rate of change of function G.
Thank you and I'm sorry for take your time.
I appreciate you
Answer:
1) -9 (this is where the y values stop and 'go the other way')
2) 1 (this is where the y values also stop and 'go the other way')
3) greater than (the y intercept on a table is found by looking where x = 0 and seeing what y equals. on a graph its just where the line crosses the y axis)
4) less than (idrk know how to explain this one sorry)
Step-by-step explanation:
hope this helps <3
Answer:
The line of symmetry for function f is
x = 2 and the line of symmetry for function g is x = 1
.
The y-intercept of function f is greater than
the y-intercept of function g.
Over the interval [2, 4], the average rate of change of function f is
less than the average rate of change of function g.
Step-by-step explanation:
The Precision Writing Instruments Company makes two pen designs - the Cordova design and the Savannah design. These data apply, regardless of which of two pen designs is being implemented. Materials cost per pen is $6. Labor cost per pen is $5. Production overhead is
$1,000,000. Advertising and promotion is $1,000,000. Marketing research has estimated the following demand functions for the next year of sales for the two pen designs where Q represents demand in thousands and P represents price. For the Cordova design, Q = 150 - 2.5P. For the Savannah design, Q = 175 - 2.1P. A penetration strategy is proposed for the Savannah design and a price of $25 is selected. What will be the profit or loss for the first year?
9514 1404 393
Answer:
loss of $285,000
Step-by-step explanation:
The demand for the Savannah design is estimated to be ...
Q = 175 -2.1P = 175 -2.1(25) = 122.5 . . . . thousand pens
Then the contribution margin from sales will be ...
122,500($25 -$6 -$5) = $1,715,000
Against a total of $2,000,000 in production and advertising costs, the net will be a loss of ...
$2,000,000 -1,715,000 = $285,000
The first-year loss will be $285,000.
A polling agency is investigating the voter support for a ballot measure in an upcoming city election. The agency will select a random sample of 500 voters from one region, Region A, of the city. Assume that the population proportion of voters who would support the ballot measure in Region A is 0.47. What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50
Answer:
The value is [tex]P( X > 0.50) = 0.089264[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 500
The population proportion is p = 0.47
Generally given that the sample size is sufficiently large , the mean of this sampling distribution is mathematically represented as
[tex]\mu_x = p = 0.47[/tex]
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{\frac{p(1- p )}{ n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ 0.47 (1-0.47 )}{ 500 } }[/tex]
=> [tex]\sigma = 0.0223[/tex]
Gnerally the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is mathematically represented as
[tex]P( X > 0.50) = P( \frac{ X - \mu }{ \sigma } > \frac{ 0.50 - 0.47 }{ 0.0223 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P( X > 0.50) = P( Z> 1.3453 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.3453 is
[tex]P( Z> 1.3453 ) = 0.089264[/tex]
So
[tex]P( X > 0.50) = 0.089264[/tex]
Using the normal distribution and the central limit theorem, it is found that there is a 0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.
By the Central Limit Theorem, the sampling distribution of sample proportions of size n of a proportion p has [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this problem:
Sample of 500 voters, hence [tex]n = 500[/tex].The proportion is of 0.47, hence [tex]p = 0.47[/tex]The mean and the standard deviation are:
[tex]\mu = p = 0.47[/tex]
[tex]\sigma = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.47(0.53)}{500}} = 0.0223[/tex]
The probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is 1 subtracted by the p-value of Z when X = 0.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.5 - 0.47}{0.0223}[/tex]
[tex]Z = 1.34[/tex]
[tex]Z = 1.34[/tex] has a p-value of 0.9099.
1 - 0.9099 = 0.0901
0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.
A similar problem is given at https://brainly.com/question/24663213
PLSS HELPP FOR 20 POINTS!!
Logs5(3x-2) = 1 + Logs5 (x-4)
Answer:
57
Step-by-step explanation:
It’s 8:40 What time will it be in 3/4 hour
Answer: 9:25
Step-by-step explanation:
You deposit $2200 in the account that pays 3% annual interest compounded continuously after 20 years you withdraw the money what formula do you use
Answer: 6600
Step-by-step explanation:
To find the original price, first we need to answer, \$\greenD{1.54}$1.54dollar sign, start color #1fab54, 1, point, 54, end color #1fab54 is \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent of what number?
Hint #22 / 5
Percent means per hundred, so \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent is equivalent to \blueD{\dfrac{5.5}{100}}
100
5.5
start color #11accd, start fraction, 5, point, 5, divided by, 100, end fraction, end color #11accd which is also equal to \blueD{5.5\div 100}5.5÷100start color #11accd, 5, point, 5, divided by, 100, end color #11accd.
\blueD{5.5 \div 100 = 0.055}5.5÷100=0.055start color #11accd, 5, point, 5, divided by, 100, equals, 0, point, 055, end color #11accd
Hint #33 / 5
To find the original price, we need to know \blueD{0.055}0.055start color #11accd, 0, point, 055, end color #11accd times what number equals \greenD{1.54}1.54start color #1fab54, 1, point, 54, end color #1fab54.
\blueD{0.055} \maroonD{x} = \greenD{\$1.54}0.055x=$1.54start color #11accd, 0, point, 055, end color #11accd, start color #ca337c, x, end color #ca337c, equals, start color #1fab54, dollar sign, 1, point, 54, end color #1fab54
Hint #44 / 5
\begin{aligned} \blueD{0.055} \maroonD{x} &= \greenD{\$1.54} \\\\ \dfrac{\blueD{0.055} \maroonD{x}}{\blueD{0.055}} &= \dfrac{\greenD{\$1.54}}{\blueD{0.055}} \\\\ \maroonD{x} &= \maroonD{28} \end{aligned}
0.055x
0.055
0.055x
x
=$1.54
=
0.055
$1.54
=6600
please help me I'm going to fail if you don't help me
Answer:
B
Step-by-step explanation:
Shigaraki told me
can someone help please
Write an equation of the line in slope-intercept form. (-2, 4) (0 -1)
Answer:
y=-5/2x+1
Step-by-step explanation:
-1-4 ( -5 )
0- (-2 ) = 0+2 ( 2 )
-5/2
y=-5/2x+b
4=-5/2( -2 ) +b
4= 5+b
Subtract 4 from 5 ( 1 )
b=1
y=-5/2x+1
Hope this helped, Have a Great Day!!
The equation of the line passing from the given points is y = -5x/2-1
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, a line is passing through two points (-2, 4) and (0 -1)
We know that, the equation of a line passing through two points is given by,
y-y₁ = (y₂-y₁/x₂-x₁)(x-x₁)
Therefore,
y-4 = (-1-4)/(0+2)(x+2)
y-4 = -5/2(x+2)
y = -5x/2-5+4
y = -5x/2-1
Hence, The equation of the line passing from the given points is y = -5x/2-1
For more references on equations, click;
https://brainly.com/question/29657992
#SPJ2
Factor 140c+28-14a to identify the equivalent expressions.
Answer:
Answer is A,C, and D
Step-by-step explanation:
It says that I need to find x for the missing angle in the equation.
Answer:
Could you possible elaborate on the question more?
The sum of two consecutive integers is 199. Find the integers
The two consecutive integers will be 99 and 100.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The sum of two consecutive integers is 199.
Let the first number be x and the next consecutive number will be (x + 1). Then the equation will be
x + x + 1 = 199
2x = 199 - 1
2x = 198
x = 198 / 2
x = 99
Then the two consecutive integers will be 99 and 100.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Please help me with this problem
Can someone help me explain please?
Answer:
B. 16 = 4y
y = 4
Answer:
B. 16 = 4y
Step-by-step explanation:
Long block = 16Amount of blocks that make the long block (16): 4Label of the small blocks: yTotal of small blocks: y × 4y × 4 = 4yBecause the long block and the y blocks are equal, 16 = 4yI hope this helps!
5.2.21-T
Question Help
Assume that when adults with smartphones are randomly selected 44%use them in meetings or classes. If 17 adult smartphone users are randomly selected, find the probability that exactly 2 of them use their smartphones in
Meetings or classes
Answer:
0.004398
Step-by-step explanation:
Given that:
p = 44% = 0.44
Number of trials (n) = 17
Probability that exactly 2 of them use smartphones in meetings or classes =?
Using the binomial probability formula :
P(x = 2)
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 2) = 17C2 * 0.44^2 * 0.56^15
P(x = 2) = 136 *0.1936 * 0.0001670399
P(x = 2) = 0.00439809
P(x = 2) = 0.004398
Simplify the expression and choose the appropriate result.
3(2 + 3g)
Evaluate. 4³ +8² = ?
Answer: 128
Work: I just did 4 to the power of 3 which is 64, and I did 8 to the power of 2 which is also 64. 64 + 64 = 128, which is the answer. I hope this helps, and stay safe. :)
Antonio completed the right column of the table to help him find the sum of 2/9 and 1/5.
Answer:
Step 1 is the first error
Step-by-step explanation:
Given
[tex]\frac{2}{9} + \frac{1}{5}[/tex]
Required
Which step contains the first error?
From the attachment, the first step is the first error.
This is so because the fractions can not be written as a fraction with a denominator of 14
Solving further:
[tex]\frac{2}{9} + \frac{1}{5}[/tex]
Find Common Denominator 45
[tex]\frac{2*5}{9*5} + \frac{1*9}{5*9}[/tex]
[tex]\frac{10}{45} + \frac{9}{45}[/tex]
Add:
[tex]\frac{10 + 9}{45}[/tex]
[tex]\frac{19}{45}[/tex]
0.4,0.7,1.0,1.3 what is the sequence rule
Answer:
3 plus 3, that is the sequence
write a similarity statement for the triangles picture. what is the value of x? show your work please !
Answer:x= 16.5
Step-by-step explanation:as both the triangles are similar, then
AB/ PQ=AC/ PR
16/24=18/(2x-6)
x= 16.5
what’s the slope?
the line has the given equation y+7=3/5(x-4)
Answer:
Slope 3/5
Step-by-step explanation:
y=3/5x-47/5
AI Drew a line that was 3/4 of an inch long. He decided to shorten it and erased 1/4 of an inch of the line. How long was the line that remained express the answer in the lowest terms.
Answer:
1/2
Step-by-step explanation:
3/4 minus 1/4 is equal to 2/4
2/4 is 1/2
The students at Southern Junior high School are divided into four home rooms. Benjamin just moved into the school district and will be randomly assigned to one home room
Answer:
A 4 side dice.
Step-by-step explanation:
Benjamin has 4 possible homerooms with the same probability. This means that every homeroom has a 1/4 = 0.25 (or 25%) probability of getting chosen.
You could emulate this situation with a 4 sided dice (are like little pyramids) where each side of the dice would represent the selection of one of the homerooms.
6/8 and 24/40 are they proportional
Answer:
no they are not
Step-by-step explanation:
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of grams and a standard deviation of grams while babies born after a gestation period of 40 weeks have a mean weight of grams and a standard deviation of grams. If a -week gestation period baby weighs grams and a -week gestation period baby weighs grams, find the corresponding z-scores. Which baby weighs relative to the gestation period?
Complete question :
Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 410 grams. If a 32 -week gestation period baby weighs 3300 grams and a 40 -week gestation period baby weighs 3600 grams, find the correspondingz-scores. Which baby weighs more relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively more?
Answer:
32 - 35 weeks = 0.56
40 weeks : 1.22
40 weeks babies weigh more
Step-by-step explanation:
Given that :
32 - 35 weeks babies :
Mean (m) = 2800
Standard deviation (s) = 900
Weight (x) = 3300
40 weeks babies :
Mean (m) = 3100
Standard deviation (s) = 410
Weight (x) = 3600
Obtain the standardized score for both categories :
Zscore = (x - m) / s
32 - 35 weeks :
Zscore = (3300 - 2800) / 900
Zscore = 0.555555 = 0.56
40 weeks :
Zscore = (3600 - 3100) / 410
Zscore = 1.2195121 = 1.22
Zscore for 40 weeks is higher than 32-35 weeks.
Hence, 40 weeks babies weigh more.
who is willing to help me with my work for money ?
Answer:
sure, but not sure if this is allowed on brainly...
also this is just tutoring
√x + 4 +
x + 4 + 2
√x + 4√2
Answer:
this is the correct answer