In a case of binomial distribution of of x where n = 5 and p = 0.05, the probability that x is at least 1 is not 0.6240, it is 0.2262.
Therefore, the answer is False.
The formula for binomial distribution is
P = nCx × pˣ × (1 - p)⁽ⁿ⁻ˣ⁾
where P is the probability
n is the total number of trials
x is the number of success trial
p is the probability of success in a single trial
From given details
n = 5
p = 0.05
P( x is at least 1) = 1 - P( x is less than 1)
P( x is at least 1) = 1 - P( x is 0)
P( x is at least 1) = 1 - 5C0 × 0.05⁰ × (1 - 0.05)⁽⁵⁻⁰⁾
P( x is at least 1) = 1 - 1 × 1 × 0.95⁵
P( x is at least 1) = 1 - 0.7738
P( x is at least 1) = 0.2262
--The question is incomplete, answering to the question below--
"If x is binomial with n = 5 and p = 0.05, the chance that x is at least 1 is 0.6240. True or False."
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The length of a rectangle is 1 yd more than twice the width, and the area of the rectangle is 45 yd2 . Find the dimensions of the rectangle. Length : Width :
Answer: length = 10 yards
Width = 4.5 yard
Step-by-step explanation:
Let the width be represented by x.
Since the length of a rectangle is 1 yd more than twice the width. This will be:
= (2 × x) + 1
= 2x+1
Area = 45
Note that length × breadth = Area
(2x + 1) × x = 45
2x² + x = 45
Equate the equation to 0
2x² + x - 45 = 0
2x² + 10x - 9x - 45 = 0
2x(x + 5) - 9(x + 5) = 0
(2x - 9) = 0
2x = 9
x = 9/2
The width is 4.5 yard
Length = 2x + 1
= 2(4.5) + 1
= 9 + 1
= 10 yard
Buffalo Chicken Dip calls for ¾ cup of buffalo sauce and serves 12 people. If I am having 30 people over for a party, how much buffalo sauce will I need for my recipe?
Answer:
15/8 cup or [tex]1\frac{7}{8}[/tex] cup
Step-by-step explanation:
3/4 = 0.75
Ratios:
[tex]\frac{0.75}{12} =\frac{x}{30} \\\\12x=22.5\\x= 15/8[/tex]
Answer:
[tex]\frac{15}{8}[/tex] cup
This can also be expressed as the following:
[tex]1\frac{7}{8}[/tex] cup
Step-by-step explanation:
This problem involved ratios. A ratio is a way of expressing one value compared to another when the two values being compared are of a different unit. The problem gives one the general ratio of the following,
[tex]sauce (cups) : people (number)[/tex]
Substitute in the given values, since one knows the units, it is unnecessary to write it,
[tex]\frac{3}{4}:12[/tex]
In this problem, the ratio of cups of sauce to people is constant, therefore one can say that the amount of sauce that (12) people need is proportional to the amount of sauce that (30) people need. Thus, set up an equation to solve for the unknown amount of sauce that (30) people need. Let parameter (x) represent the unknown amount of sauce.
[tex]\frac{3}{4} : 12 = x : 30[/tex]
Use cross products to simplify,
[tex](12)(x)=(\frac{3}{4})(30)[/tex]
Simplify,
[tex]12x=\frac{45}{2}[/tex]
Inverse operations,
[tex]12x = \frac{45}{2}[/tex]
Multiply both sides by (2)
[tex]24x=45[/tex]
Divide both sides by (24),
[tex]x=\frac{45}{24}[/tex]
Simplify,
[tex]x=\frac{15}{8}[/tex]
Please I Really need help with this my teacher would not help me ;-;
A positive integer whose actual value is less than |-6| and greater than |-4|.
Answer:
|-5| or 5
Step-by-step explanation:
The "|- |" means the absolute value of a number. One example of this is |-2| is 2. Now, with that being given, the absolute value or | | of |-6| is 6! The same applies for 4. So what positive number is between 4 and 6?
4, 5, 6!
5 is the answer as a positive integer, or you can say |-5|
Hope this helps!
How do you write 8.317 x 10^6 in standard form?
Answer:
8.317 x 10^6 = 8,317,000
Step-by-step explanation:
You move the decimal over 6 places to the right because it's a positive number. If it were 10^-6 you would move the decimal over 6 places to the left.
Dave drives a truck and can only drive 35 miles per day. If he drives 1,960 miles and gets paid $18 per day, how much money will he make?
Answer: $1008
Step-by-step explanation:
Since Dave can only drive 35 miles per day and he drives 1,960 miles, this means that the number of days he used for driving will be:
= 1960 / 35
= 56 days
Since he gets paid $18 per day, the amount that he will make will be:
= $18 × 56
= $1008
At a recent charity event there was a range of admission charges:
Family (2 Adults + 2 Children)
Adult
Senior
Child (5 to 16 years)
Child under-5
$44
$14
$12
$10
Free
In addition it was possible to buy Family tickets before the event at the reduced cost of $40 per
family.
At the gate tickets to the value of $40 000 were purchased, and prepaid tickets added a further
$10000 to the total income. For every Family ticket sold on the day, 1 Adult, 1 Senior, and 3 Child
tickets were sold and 2 under-5 children were admitted free of charge.
How many people attended?
A
B
c
4400
4600
4650
5400
Answer:
5400
Step-by-step explanation:
Given data
Family (2 Adults + 2 Children) = $44
Adult = $14
Senior = $12
Child (5 to 16 years) = $10
Child under-5 = Free
At reduced price family buys ticket at = $40
Total prepaid ticket sold = $10,000
Value of ticket sold at the gate = $40,000
Determine how many people attended
first step : determine number of family that purchased the prepaid tickets
= 10,000 / 40 = 250 families
∴ number people who booked prepaid tickets = 250 * 4 = 1000 people
Next step : Determine the number of families that booked the ticket at the gate
let the number of families = y
40,000 = 44 y + 12y + 3y * 10 + 14y + 2y *0
40,000 = y ( 100 ) hence y = 40,000 / 100 = 400
∴ number of people = 400 * ( 4 + 1 + 1 + 3 + 2 ) = 400 * 11 = 4400
Number of people whom attended = 4400 + 1000 = 5,400
A salesman at a clothing store makes a sale to 30% of the customers he talks to, and wants to try out a new tecnique to see if he can change this rate. He decides to collect data for a few months on the percentage of customers he makes a sale to, and he is able to construct a 95% confidence interval of (.3095, .3275). Is there evidence at 5% significance that he has changed his average sales?
Answer:
Yes, we can conclude that average sales has changed.
Step-by-step explanation:
The null hypothesis, H0 : μ = 0.3
The alternative ; H0 : μ ≠ 0.3
The result of the 95% confidence interval of (.3095, .3275); This shows that the confidence interval is now between 30.95% and 32.75% ; since μ does not lie within the confidence interval value and the lower boundary of the confidence interval is > 30; we Can conclude with an evidence of 5% significance that his average sales as changed (increased).
We can reject H0 and conclude that μ > 0.3
Please help! hurry, It's 8 pm and I'm tired :(
Answer:
I’m pretty sure x=6
Step-by-step explanation:
If the answers to a quadratic equation were 2+6√3 and 2-6√3, then what was the original polynomial
Answer:
[tex] p(x) = k[ x^2-4x-104] [/tex]
Step-by-step explanation:
Say if alpha and beta are the zeroes of the quadratic polynomial then the quadratic polynomial is given by ,
[tex]\implies p(x) = k[x^2-(\alpha+ \beta)x +\alpha\beta ] [/tex]
where k is a constant[tex]\implies p(x) = k[ x^2 - [ (2+6\sqrt3)+(2-6\sqrt3)x] + \{ (2+6\sqrt3)(2-6\sqrt3)\} ] \\\\\implies p(x) = k[ x^2 - 4x + \{ (2)^2-(6\sqrt3)^2\}] \\\\\implies p(x) = k[ x^2 -4x \{ 4-108\} ] \\\\\implies\boxed{\boxed{ p(x) = k[ x^2-4x-104] }}[/tex]
This is the required answer !
what is the difference between (3.1,000) -(2.100)
Answer:
You just have to subtract the answer will equal 1
this is algebra please help
Answer:
1. 1/8 2. 1/16
Step-by-step explanation:
I do not know how to explain, but I am right.
what is the prime factor of 4400 by tree method
Answer:
The orange divisor(s) above are the prime factors of the number 4,400. If we put all of it together we have the factors 2 x 2 x 2 x 2 x 5 x 5 x 11 = 4,400. It can also be written in exponential form as 24 x 52 x 111.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you!
Find the area of the parallelogram. base is 10 and height is 8
Answer:
80
Step-by-step explanation:
8*10
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two equal
segments. The length of the altitude is 26 inches, and the length of the base is 9
inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
Answer: 61.8
Step-by-step explanation:
Answer:
85
Step-by-step explanation:
delta math
Help please, what's the interquartile range?
what information does the standard form of a linear equation reveal about a line
Answer:
Look Below
Step-by-step explanation:
It reveals what type of slope it has. It reveals whether it is positive or negative. It tells when the line will cross the Y-Axis. This is just the groundwork of it but there is a whole list I think on what one equation can reveal about a line on a graph. Hope This Helps! If you find any fault in my answer please let me know! Have a good day!
Enter
30
to
70 as a fully simplified ratio.
Answer:
3:7
Step-by-step explanation:
To simplify the ratio 30:70, we find the greatest common divisor of 30 and 70, and then we divide 30 and 70 by the greatest common divisor. The greatest common divisor that you can use to simplify 30:70 is 10. This means the answer to ratio 30:70 simplified is: 3:7.
Please mark me brainliest!
help i will mark as brainliest
Answer:
B
Please mark my answer as brainliest for further answers:)
Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine whether or not triangle PQR is a right triangle. Show all calculations for full credit.
Answer:
it's a right angled triangle
Solve for x. x= __________
Answer:
64
Step-by-step explanation:
160 + 136 = 296
360 - 296 = 64
Anyone know this cause my sister been lost for a day on this. I know it's nice t that hard to most of y'all but it's hard for her. ( will give big brain if I can)
Answer: The book tax is $1.10 and the video game is $3.40 so i'll let you figure this out
tell your sister that the nae nae frog has blessed her with the answer
Select the correct answer.
Which phrase describes one of the transformations on the graph of the parent cosine function resulting in function g?
g(0) = cos(21 - )
А.
a horizontal stretch by a factor of 2
B.
a horizontal shift right x units
C.
a horizontal shift right units
a horizontal compression by a factor of
D.
Reset
Nelu
Answer:
The answer is C! horrizontal shift right pi/2 units.
Step-by-step explanation:
I just took the test and got it right!
What percent of students have 3 or more siblings?
(The dot plot is also included)
Answer:
5
Step-by-step explanation:
if you count all the dots above 3, 4, 5 and 10 you will gte your answer :)
Write a description of the shaded area region using the symbols A, B, C, u, n, -, and ‘ as needed
Answer:
it A
Step-by-step explanation:
has anybody done the midpoint and distance zombie worksheet?????
leer leer con atención y así como respondes mucho cuidado
Answer:
use formula midpoint (x,y)={(x1+x2)/2,(y1+y2)/2}
Justine ran for 40 minutes on Monday, for 1 hour and 35 minutes on Wednesday, and for 1 hour and 5 minutes on Friday. How many total minutes did Justine run?
Answer:
150 minutes
Step-by-step explanation:
40 plus 35 plus 65 equals 150
Answer:
2:20
Step-by-step explanation:
easy
If xy + 12 = 6x + 7, find y if x =5.
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
y=25
Step-by-step explanation:
HELP ME PLZZ: Francesca is making a scale drawing of the mural on a wall in her school's hallway. The mural is 12 ft high and 135 ft long. She is using a sale of 3 cm for every 4 ft. What are the dimensions of her scale drawing?
Answer:
i think ur supposed to do 135 divided by 3?
Step-by-step explanation:
tell me if im right or wrong so then i can help
The height of the mural drawing is 9 inches while the length is 101.25 inches.
What is the scale factor?You must specify the extent of the shape's enlargement when describing one.
The scale factor is the ratio of two dimensions such that one figure is large and another is small.
The scale factor is done due to the unpractical measurement of any figure.
Hight of the mural = is 12 feet
⇒ 12 × 12 = 144 inches.
Length of mural = 135 feet
⇒ 1620 inches.
Now,
She is using 3 cm for every 4 feet(4×12 = 48 inches)
Scale factor = 3/48 = 1 : 16
Now,
Length of mural drawing = 144/16 = 9 inches.
Height of mural drawing = 1620/16 = 101.25 inches.
Hence "The height of the mural drawing is 9 inches while the length is 101.25 inches".
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4) Shruti covered a distance of 350.175 km in 7 days. How much distance did she
cover in 1 day?
Answer:
[tex]350.175 \div 7 \\ 50.025km[/tex]
find the measure of each interior and exterior angles of a regular polygon with 48 sides
Answer:
172.5
may this will help you