Answer:
all 3
Step-by-step explanation:
let x1, x2 ..., x100 all be independent bernoulli variables, which take a value of 1 with probability 0.5
Using the normal approximation to the binomial, there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.
What is the missing information?This problem is incomplete, but researching it on a search engine, it asks the probability that the sum of these Bernoulli variables is of less than 60.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \(\mu = np, \sigma = \sqrt{np(1-p)}\).The binomial distribution is a series of n Bernoulli trials with p probability of a success on each trial, hence the parameters for the binomial distribution are given as follows:
n = 100, p = 0.5.
The mean and the standard deviation are given by:
\(\mu = np = 100(0.5) = 50\).\(\sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5\)Using continuity correction, the probability that the sum is less than 60 is P(X < 59.5), which is the p-value of Z when X = 59.5, hence:
\(Z = \frac{X - \mu}{\sigma}\)
Z = (59.5 - 50)/5
Z = 1.9
Z = 1.9 has a p-value of 0.9713.
Hence there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.
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Find the cross product (7,9, 6)x 44, 1, 5). Is the resulting vector perpendicular to the given vectors?
a. (-57, 43, 33); yes
c. (33. – 59, - 57); no
b. (39, – 59,43), yes
d. (33, - 57, 49); no
Answer:
Option B, (39, -59, 43)
Answered by GAUTHMATH
If PS = 9 and RS = 34, what is QS?
Answer:
Step-by-step explanation:
By this theorem (I forgot what it's called, but I learned it this year), QS^2 = PSxSR.
So:
9x34=QS^2
306=QS^2
QS is about 17.5
the dial on a combination lock contains markings which represent the numbers from 0 to 39. how many 3- number combinations are possible if the first and the second must be different odd numbers, while the third number must not be an odd number?
The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.
The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.
How many possible three-number combinations are there?
You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.
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3(a-2/3)= 3/4a+2 1/4
Steps:
Step 1: Simplify both sides of the equation.
3(a−2/3)=3/4a+21/4
(3)(a)+(3)(−2/3)=3/4a+21/4(Distribute)
3a+−2=34a+2143a−2=3/4a+21/4
3a+−2=34a+2143a−2=3/4a+21/4
Step 2: Subtract 3/4a from both sides.
3a−2−3/4a=3/4a+21/4−3/4a
9/4a−2=21/4
Step 3: Add 2 to both sides.
9/4a−2+2=21/4+2
9/4a=29/4
Step 4: Multiply both sides by 4/9.
(4/9)*(9/4a)=(4/9)*(29/4)
Answer:
A=29/9
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Hope this helps.
The regular price of a dress is $80. The price
has been marked up by 23%. What is the
amount of markup?
[A] $18.40
[B] $57.00
[C] $23.00
[D] $61.60
Answer:
A
Step-by-step explanation:
a regular pentagon has an apothem of 3.2m and an area of 27.2^ m2. what is the length of one side of the pentagon
The length of one side of the regular pentagon for the given area and length of apothem is equal to 3.4 meters.
In a regular pentagon,
measure of apothem of a regular pentagon = 3.2m
Area of regular pentagon = 27.2 square meter
Use the formula for the area of a regular pentagon we have,
A = (5/2) × a × ap
where A is the area of the pentagon,
a is the length of one side,
and ap is the apothem the distance from the center of the pentagon to the midpoint of a side.
The apothem is 3.2 m and the area is 27.2 m², so we can plug in these values and solve for a,
⇒ 27.2 = (5/2) × a × 3.2
Simplifying,
⇒ 27.2 = 8a
⇒ a = 27.2/8
= 3.4
Therefore, the length of one side of the regular pentagon is 3.4 meters.
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If you solve the equation for ax+by/c=d for x, what would you get?
Answer:
x=d/a - by/ac
Steps:
ax+by/c=d
(cax+by)/c=d
cax+by=cd
cax=cd-by
x=(cd-by)/ca
x=cd/ca - by/ca
x=d/a - by/ac
Suppose that the price of a pair of shoes is $5 and the price of a box of tea is $3. What is the relative price of a pair of shoes? What is the relative price of a box of tea?
The relative price is a useful measure for comparing the prices of different products or services, especially in the context of consumer preferences and demand.
Relative price refers to the price of a particular product or service in relation to other goods or services in the market.
It is calculated as the ratio of the price of a given product or service to the price of a reference product or service, commonly referred to as a base good or service.
Let the price of a pair of shoes be $5 and the price of a box of tea be $3.
Then the relative price of a pair of shoes is given by:
Relative price of shoes = Price of shoes / Price of tea
= $5 / $3
= 1.67
Thus, the relative price of a pair of shoes is 1.67.
Similarly,
The relative price of a box of tea can be calculated as follows:
Relative price of tea = Price of tea / Price of shoes
= $3 / $5
= 0.6
Therefore, the relative price of a box of tea is 0.6.
This means that the price of tea is relatively cheaper than that of shoes, as its relative price is less than one.
The relative price of shoes is greater than one, which indicates that shoes are relatively more expensive than tea.
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How to plot 69, 88,94,73,78,90, and 68 in a box and whisker plot (ASAP) also find the 5 part summary
The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.
To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:
Step 1: Arrange the data in ascending order:
68, 69, 73, 78, 88, 90, 94
Step 2: Find the five-number summary:
Minimum: The smallest value in the dataset, which is 68.
First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.
Median (Q2): The middle value of the dataset. In this case, it's 78.
Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.
Maximum: The largest value in the dataset, which is 94.
Step 3: Create the box and whisker plot:
Draw a number line with a range from the minimum (68) to the maximum (94).
Mark the first quartile (Q1) at 69.
Mark the median (Q2) at 78.
Mark the third quartile (Q3) at 90.
Draw a box from Q1 to Q3.
Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).
The resulting box and whisker plot for the given dataset would look like this:
|
94| ▄
| ╱ ╲
90| ╱ ╲
| ╱ ╲
88| ▇ ▂
| ▇ ▂
78| ▇ ▂
| ▇ ▂
73| ╱ ╲
| ╱ ╲
69| ▃ ▃
| ╱ ╲
68| ╱ ╲
|_________________________________
68 73 78 88 94
This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).
The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.
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Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.
Answer:
If the amount of dough for a small pizza is S, for a large pizza is L and for a medium pizza is M, we have the equations:
M = (3/2)*S
L = (5/2)*S
L = M + S
First, we can convine the second and third equation and get:
(5/2)*S = M + S
and now we can replace M by the first equation:
(5/2)S = (3/2)*S + S = 5/2 S
so we have a trivial equation, S can be any number, this means that the system of equation is not well constructed.
For example, if S = 1Kg then:
M = (3/2)kg
L = (5/2)kg = (3/2)kg + 1 kg = 5/2kg
Answer:
The equation for a small pizza is, 3/2s + s = 5/2s.
Next, to combine like terms the equation is, 5/2s = 5/2s.
After that, for opposite operations you write, 5/2s - 5/2s = 0.
When you combine the like terms for the last equation, you come up with,
0 = 0.
The small sized pizza does not have a specific size and is no longer part of the equation. Its' size can be anything, and the other sized pizzas will equal their equation towards the small pizza, still representing their same value.
Step-by-step explanation:
cheese + sauce + dough + lots of meat + fire = happiness/pizza
(HopE ThIs HeLPs)
Mr ken has saved $5000. He will withdraw and spend $250 per month. What function can be used to find y, the total amount in ken’s saving account after x number of months?
The required function be y = 5000 - 250x.
Given that,
Amount of saving = $5000
Amount of withdraw and spend = $250
Number of months = x
If the total money in Ken's savings account after x number of months is represented by y,
Then, to calculate the entire amount in his savings account after x number of months, the program deducts 250x from the beginning amount of $5000.
Therefore, The function be,
y = 5000 - 250x
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what does 5/6 + (-4/9) (-2) equal
Answer:
HIya There!!!
________________________
To add fractions, find the LCD and then combine.
Exact Form:
31 /18
Decimal Form:
1.7 ¯ 2
Mixed Number Form:
1 13 /18
________________________
“Happiness resides not in possessions and not in gold, the feeling of happiness dwells in the soul.” – Democritus
________________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
Find FH
A. 13.5
B. 6.0
C. 8.1
D. 6.7
Step-by-step explanation:
the FH seems to be option b.6.0
........
cos(θ)=15/17, 15/17<θ<2(pi)
find cotθ
Step-by-step explanation:
cot(θ) = 1/tan(θ)
tan(θ) = sin(θ) / cos(θ)
Given cos(θ) = 15/17, we can find sin(θ) using the Pythagorean identity:
sin(θ) = sqrt(1 - (cos(θ))^2) = sqrt(1 - (15/17)^2) = 4/17
So, tan(θ) = 4/15
And, cot(θ) = 1/tan(θ) = 15/4
Answer: 15/8
Step-by-step explanation: We know that sin(0) will equal 8 by the 8,15,17 triangle. We using the restricted domain value for theta and using the pythagorean identities to get cot(0) as cos(0)/sin(0) and substitute the values. The denominators cancel and the result is 15/8.
factor the following trinomial: x^2+8x-9
Given expression is:
\(x^2+8x-9\)Factorising it:
\(\begin{gathered} x^2+8x-9 \\ \Rightarrow x^2+9x-x-9 \\ \Rightarrow x(x+9)-1(x+9) \\ \Rightarrow(x+9)(x-1) \end{gathered}\)So the factor of given expression is: (x+9)(x-1).
find the area of each figure. PLEASE ANSWER 13 & 14
Answer:
13. 192 sq in
14. 243.375 sq in
Step-by-step explanation:
Math 20 points
Only real answers pleaaase! Please don't answer with just a picture because I won't be able to see it.
The answer is b becasue its subtraction
Step-by-step explanation:
Polynomials are closed under an operation if it produces a polynomial.
5x⁴, x² + 2x + 1 and x³ - 10x³ + 28x - 15
are all polynomials of x.
x - 3 + (-3)/(x - 2) is not a polynomial because x can be found in the denominator of a fractional term.
The answer is Option A.
Which is faster?
The number of bacteria colonies doubling every 80 minutes
Or
The number of bacteria colonies quadrupling after 4 hours (once?)
Answer:
A. the number of bacteria colonies doubling every 80 minutes.
Step-by-step explanation:
A. 2 cells = 80 mins
B. 4 cells = 80 mins
how to check;
multiply both sides by 2 in equation A
2 × 2 = 80 × 2
4 cells = 160 mins
change the mins into hours
4 cells = 160 ÷ 60
4 cells.= 2 hrs 40 mins
coagulate results
equation A. is 4 cells = 2hrs 40 mins
equation B. is 4 cells = 4 hrs
therefore equation A. is faster
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Please help! will mark brainliest
Answer:
x>3
The answer is B
A preschool class has 14 girls and 10 boys. What is the ratio of boys to
the WHOLE class?
Answer:
10/24 or 5/12
Step-by-step explanation:
If you add both boys and girls you will get 24 which is the total students and the number of boys us 10 so it would be 10/24 or simplified would be 5/12.
:) Hope this helps
solve pls brainliest
Answer:2 3/4 for mixed 11/4 for improper
Step-by-step explanation:
How do you solve
n= (2s-1)+(s-1)
Answer:
n=3s-2
Step-by-step explanation:
Step 1: Remove unnecessary parentheses (2s-1)
Step 2: Collect "Like Terms" (2s+s= 3s)
Last Step: Put them all together (n=3s - 2)
ALGEBRA LOVERSSS!!!!!!!!!!
Answer:
thank ya and i haaaaaate algebra have a bad day
Step-by-step explanation:
The sales tax in your city is 8.8% and an item costs $63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
\$\
Answer:
8.8%= .088
Step-by-step explanation:
.088 *63=5.54
$5.54
i feel absolutely unintelligent and cannot get past this assignment. all my friends finished school but im not done yet. can someone help me please!
Step-by-step explanation:
Probability of A is 10 + 5 =15
Probability of B is 9 + 5 ( but you already counted the '5')
so just count 9
9+ 15 = 24
this is 24 out of 16 + 10 + 5 + 9 = 40
or 24/40 which reduces to 3/5 or .6 or 60%
Using the equation given:
P(A) + P(B) - P(A and B)
15 + 14 - 5 = 24 this is out of the entire number 40
24/40 = same as above
Who has algebra 2 on edge ?
Answer:
i do, if uu need help hmu
Step-by-step explanation:
one of your delivery trucks travel 1200 miles on a 55 gal of gas how many miles per gallon did the truck get
The delivery truck got 21.81 miles per gallon of gas.Miles per gallon (MPG) is the metric used to measure fuel efficiency or fuel economy.
To calculate MPG, you need to know how many miles the vehicle has traveled and how much fuel it has consumed.
Let us consider that the delivery truck traveled 1200 miles on a 55-gallon tank of gas.
To calculate the miles per gallon, we have to divide the distance traveled by the amount of gas used. Therefore, to calculate MPG, we divide the total distance traveled by the number of gallons of gas used:Miles per gallon = Distance traveled / Gas usedMiles per gallon = 1200/55Miles per gallon = 21.81
Therefore, the delivery truck got 21.81 miles per gallon of gas.
Summary:Thus, we can conclude that the delivery truck got 21.81 miles per gallon of gas.
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At a local grocery, 26-ounces of a sport drink costs $1.30. What is the price per ounce?
Answer:
0.05
Step-by-step explanation: if the total price in ounces is 1.30, you divide 1.30 by 26 ounces and you get 0.05 as the answer I also took a test with this question trust me it's right.
add my sc guys its jg5690