The standard deviation for the given binomial distribution is 1.449.
What is binomial distribution?A binomial random variable is the number of successes x in n repeated trials of a binomial experiment. The probability distribution of a binomial random variable is called a binomial distribution.
Formula for the calculation of standard deviationσ = [tex]\sqrt{nP(1 -P)}[/tex]
where,
σ is the standard deviation
n is the number of trials in the binomial experiment.
P is the probability of success on an individual.
According to the given question we have,
The number of trials in the binomial experiment, n = 10
The probability of success on an individual, p = 0.70
Therefore, the standard deviation is given by
σ = [tex]\sqrt{10(0.70)(1 -0.70)} = \sqrt{7(0.3)}=\sqrt{2.1} =1.449[/tex]
Hence, the standard deviation for the given binomial distribution is 1.449.
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A book us in the shape of a right rectangle prism. It measures 8 1/2 inches tall, 7 inches wide and 2 1/3 inches thick. What is the volume of the book
Let u = <-6, 1>, v = <-5, 2>. Find -4u + 2v.
A) <34, -8>
B) <14, 0>
C) <14, 3>
D) <44, -12>
Zakai cuts a piece of birthday cake as shown below.
What is the volume of the piece of cake?
Is 5,000cm greater than 5m
Malia is placing a barrier around the edge of a circular path with the diameter of 13 M the barrier are in length of 2.5 M.
what is the best approximation of how many pieces of a barrierd malia will need? used 3.14 for approximate for pi
After a concert for 1600 people only 8 people said they would not go see the band again what percent of the people who went to the concert said they would not go see the band again
O.5 is the correct answer
write the equation of a line that includes the point (1,5) and has a slope of 3 in slope intercept form
A. y= 3x + 5
B. y= 3x - 5
C. y= 3x + 2
D. y= 3x - 5
What is the formula for finding compound interest
From a top-down 2D perspective, a car moves in a diagonal line and travels a distance equivalent to 80 miles. If the angle between the diagonal line and a horizontal reference line is 25 degrees, how far did the car travel horizontally and vertically? If necessary, round your answers to the nearest tenth of a mile. Horizontal distance? Vertical distance?
write a congruence statement for the pair of triangles zyb
If the arrival of major road vehicles can be described by the poisson distribution, and the peak hour volume is 1000 veh/hr. the value of the critical gap is 4 seconds. the expected number of available gaps during the peak hour is equal to:
write an expression with a value of 10. it should contain four numbers and two different operations
a cell phone company sold 4,000 cell phones in the month of November. In December, the company held its annual sale and sold 22 percent more cell phones than it did in November. In January , the company experienced its slowest month , managing to sell only 50 percent of the number of cell phones sold during the month of December. What is the total number of cell phones sold by the company during the three months combined ?
Which number line shows the solution to
11x + 14 < –8?
Answer:
D!!
Step-by-step explanation:
Hope it helps!!
The solution to the inequality 11x + 14 < -8 is x < -2. On a number line, this would be a circle at -2 with a line extending to the left.
Explanation:To find the solution to the inequality 11x + 14 < –8, we will first subtract 14 from both sides, which gives us:
11x < -8 - 14
This simplifies to 11x < -22.
Next, we divide both sides by 11 for: x < -2
The solution is x < -2. On a number line, this would be represented by a circle around -2 (not filled in, because the inequality does not include 'equal to') with a line extending to the left (indicating 'less than').
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Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.) Please help fast!
Caitlyn has a credit card with a spending limit of $1500 and an APR (annual percentage rate) of 18%. During the first month, Caitlyn charged $375 and paid $250 of that in her billing cycle. Which expression will find the amount of interest Caitlyn will be charged after the first month?
The interest that will be charged after the first month is $1.875, calculated by multiplying the remaining balance of $125 by the monthly interest rate of 1.5%.
Explanation:The subject at hand is centered around the concept of credit card interest calculation. In Caitlyn's case, the remaining balance after her payment is $375 - $250 which equals $125. This is the amount that will incur interest.
The APR (annual percentage rate) is 18%, but we must first convert this to a monthly rate by dividing by 12, which equals 0.015 (or 1.5%). The interest charged after the first month is calculated by multiplying the remaining balance by the monthly interest rate. Therefore, the formula to calculate the interest is $125 * 0.015, which equals $1.875.
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Triangle ABC has vertices A(0,0), B(3,2), and C(0,4). This triangle may be classified as ?..?
1) equilateral
2) isosceles
3) right
4) scalene
Btw it wasn’t number 2 because that one was inaccurate.
The triange may be classified as (2) isosceles triangle
How to classify the triangle?The vertices are given as:
A(0,0), B(3,2), and C(0,4)
Calculate the side lengths using:
d = √(x2 - x1)^2 +(y2 - y1)^2
So, we have:
AB = √(3 - 0)^2 +(2 - 0)^2
AB = √13
AC = √(0 - 0)^2 +(4 - 0)^2
AC = 4
BC = √(3 - 0)^2 +(2 - 4)^2
BC = √13
Side lengths BC and AB are equal
i.e. AB = BC = √13
Hence, the triange may be classified as (2) isosceles triangle
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What is the 7th term in the geometric sequence described by this explicit formula?
A. 15,625
B. 156,250
C. 1,000,000
D. 31,250
The 7th term in the geometric sequence described by this explicit formula will be 31,250 so option (D) will be correct.
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
Given explicit formula is
[tex]a_{n}[/tex] = 2 × [tex]5^{(n-1)}[/tex]
Where n represents a number of terms and [tex]a_{n}[/tex] is an nth term in the GP series.
By substituting n = 7 into the formula
[tex]a_{7}[/tex] = 2 × [tex]5^{(7 - 1)}[/tex]
[tex]a_{7}[/tex] = 2 × 5⁶
[tex]a_{7}[/tex] = 2 × 15625 = 31250 hence, it will the correct answer.
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Consider a normal population distribution with the value of σ known. (a) what is the confidence level for the interval x ± 2.88σ/ n ? (round your answer to one decimal place.) % (b) what is the confidence level for the interval x
The confidence level for the interval x ± 2.88σ/√n is approximately 99.9%. The term 'confidence level' speaks to how frequently the true value of the parameter would be inside the interval for replicated experiments. Without additional information, we cannot compute the confidence level for just 'x'.
Explanation:In statistics, a formula exists to find the confidence interval. For the interval x ± 2.88σ / √n, the confidence level is nearly 99.9%. We find this by referring to the z-table (standard normal table) with a z-score of 2.88. This leaves 0.05% in each tail of the distribution.
On the topic of confidence levels, a 95% confidence interval implies that if you were to take 100 random samples from your population, approximately 95 of those samples would capture the true population parameter.
For the other part of your question, when we talk about the interval x, it doesn't provide enough detail to calculate a confidence level. It needs to be stated in context of the standard deviation and the sample size.
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WILL GIVEBRAINLIEST AND 25 PTS PLEASE HURRY!!!Which lines are the directrices of the ellipse?
x = −4.25 and x = 8.25
x = −3.25 and x = 9.25
y = −4.25 and y = 8.25
y = −3.25 and y = 9.25
Answer:
The directrix of the ellipse is:
x= -3.25 and x=9.25
Step-by-step explanation:
As we know that for any ellipse equation of the type:
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex] and a>b
The directrix is given by:
[tex]x=h\pm \dfrac{a}{e}[/tex]
where,
[tex]e=\sqrt{1-\dfrac{b^2}{a^2}}[/tex]
Here we have the equation of parabola as:
[tex]\dfrac{(x-3)^2}{5^2}+\dfrac{(y-2)^2}{3^2}}=1[/tex]
Hence, we have:
[tex]h=3,\ k=2,\ a=5,\ b=3\\\\and\\\\e=\sqrt{1-\dfrac{3^2}{5^2}}\\\\e=\sqrt{1-\dfrac{9}{25}}\\\\e=\sqrt{\dfrac{25-9}{25}}\\\\\\e=\sqrt{\dfrac{16}{25}}\\\\e=\dfrac{4}{5}[/tex]
Hence, we have: the directrix as:
[tex]x=3\pm \dfrac{5}{\dfrac{4}{5}}\\\\\\x=3\pm \dfrac{25}{4}\\\\Hence, x=9.25\ and\ x=-3.25[/tex]
Hence, the equation of directrix is:
x= -3.25 and x=9.25
Answer:
B
Step-by-step explanation:
On edge
Mya has a raised garden bed in the shape of a rectangular prism. The bed is 8 feet long, 3 2/3 feet wide, and 2 feet high. Part A: Belinda wants to make a raised garden bed that covers the same area as Mya’s, but the space she has is only 3 feet wide. How long should her garden bed be? Part B: Find the volume of Mya’s gardening bed. Suppose Belinda’s garden bed is the same height as Mya’s. Will Belinda’s bed have the same volume? Explain. Part C: A small bag of soil contains 2 cubic feet. How many bags of soil should Mya buy if she wants to fill her garden bed completely? Show your work. Part D: Belinda already has 22 bags of soil. Use your answer to Part C to find the depth to which she can fill her garden bed
Simplify the expression. 103 + 33 ÷ 3 A. 10,011 B. 21 C. 1011 D. 111
I need help with this part plz help it's the last part
The area of a triangle is 1440cm^2 the base of tge triangle is 5 times the height of the triangle
The area of the square represented in item 1 is revised to be 90.0 in.2. note that the original grid spacing no longer applies. what is the side length of the square
How large in square meters is the land area of australia (2941526 mi 2)?
Final answer:
The land area of Australia is roughly 7.62 trillion square meters, calculated by multiplying the area in square miles (2,941,526) by the conversion factor of 2,590,000 square meters per square mile.
Explanation:
The student is asking for the conversion of Australia's land area from square miles to square meters. To convert square miles to square meters, we use the conversion factor that 1 square mile is equal to 2.59 square kilometers or 2,590,000 square meters. Therefore, the land area of Australia in square meters is calculated by multiplying the area in square miles by the conversion factor:
2,941,526 mi2 × 2,590,000 m2/mi2 = 7,619,652,340,000 m2
The land area of Australia is approximately 7.62 trillion square meters.
Elliot buys a 5 pound package of ground beef for 12.50 varna buys a package of ground beef for 7.50 at the same unit price. What is the weight of the package
Varna's package weighs 3 pounds, priced at $7.50, matching Elliot's $12.50 package with 5 pounds at same unit price.
To find the weight of Varna's package of ground beef, we can set up a proportion based on the unit price.
Elliot's package:
Price: $12.50
Weight: 5 pounds
Varna's package:
Price: $7.50 (same unit price as Elliot's)
Weight: Let's call it x pounds
We can set up the proportion:
[tex]\[\frac{12.50}{5} = \frac{7.50}{x}\][/tex]
Now, we can cross multiply:
[tex]\[12.50x = 5 \times 7.50\]\[12.50x = 37.50\][/tex]
Now, let's solve for \( x \):
[tex]\[x = \frac{37.50}{12.50}\]\[x = 3\][/tex]
So, the weight of Varna's package of ground beef is 3 pounds.
Complete question:
Elliot buys a 5 pound package of ground beef for 12.50
1)varna buys a package of ground beef for 7.50 at the same unit price. 2)What is the weight of the package
Which word best describes the degree of overlap between the two data sets? none moderate low high Two line plots with the same scale and interval, from zero to sixty, with tick marks every five units. The plots are stacked vertically for comparison. Each plot has fifteen data values. Values appear as x marks above the line. Upper plot data values are one x mark above thirty, two x makrs above thirty-five, four x marks above forty, four x marks above forty-five, one x mark above fifty, two x marks above fifty-five, and one x mark above sixty. Lower plot data values are three x marks above five, four x marks above ten, three x marks above fifteen, two x marks above twenty, one x mark above twenty-five, one x mark above thirty, and one x mark above thirty-five.
HURRY PLEASE
Answer:
High
Step-by-step explanation:
Hilda has $210 worth of $10 and $12 stock shares.
The number of $10 shares is five more than twice the
number of $12 shares. How many of each type of share
does she have?
beth is making brownies. She makes 3 batches of brownies on saturday and 4 batches on sunday. she uses 1/4 cup of butter in each batch. how much butter does beth use? explain