Answers
Answer:
1. 3.572 x 10^(-1)
2. 3.108 x 10^(6)
3. 5.31881533 x 10^(-6)
4. 4.18676122 x 10^(-1)
Hope this helps
Related Questions
Scotland has been a member of the United Kingdom since the 1707 Act of Union. In a recent poll, 38% of Scots would vote in favor of leaving the U.K. A random sample of 135 Scots was selected. What is the probability that between 50 and 60 of them were in favor of leaving the U.K.?
Answers
Answer:
57.39% probability that between 50 and 60 of them were in favor of leaving the U.K.
Step-by-step explanation:
I am going to use the normal approximmation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
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 samples 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].
In this problem, we have that:
[tex]n = 135, p = 0.38[/tex]
So
[tex]\mu = E(X) = np = 135*0.38 = 51.3[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{135*0.38*0.62} = 5.6397[/tex]
What is the probability that between 50 and 60 of them were in favor of leaving the U.K.?
Using continuity correction, this is [tex]P(50-0.5 \leq X \leq 60 + 0.5) = P(49.5 \leq X \leq 60.5)[/tex]. So this is the pvalue of Z when X = 60.5 subtracted by the pvalue of Z when X = 49.5. So
X = 60.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60.5 - 51.3}{5.6397}[/tex]
[tex]Z = 1.63[/tex]
[tex]Z = 1.63[/tex] has a pvalue of 0.9484
X = 49.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{49.5 - 51.3}{5.6397}[/tex]
[tex]Z = -0.32[/tex]
[tex]Z = -0.32[/tex] has a pvalue of 0.3745
0.9484 - 0.3745 = 0.5739
57.39% probability that between 50 and 60 of them were in favor of leaving the U.K.
In a game of rolling a die. If the number showing is even, you win $3, if the number showing is 1 you win $3 and if the number showing is either 3 or 5 you win nothing. Let x be the amount you win,
i. list the probability distribution of x.
ii. What is the amount of dollar you expect to win?
Answers
Answer:
(a)
[tex]\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|[/tex]
(b)$2
Step-by-step explanation:
In the given game of rolling a die. these are the possible winnings.
If the number showing is even(2, 4, or 6) or 1, you win $3.If the number showing is either 3 or 5 you win $0.There are 6 sides in the die.
[tex]P($obtaining a 1,2,4 or 6)=\dfrac46=\dfrac23\\P($obtaining a 3 or 5)=\dfrac26=\dfrac13[/tex]
(i)The probability distribution of x.
Let x be the amount won
Therefore:
Probability distribution of x.
[tex]\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|[/tex]
(ii) Expected amount of dollar won
Expected Amount
[tex]=\sum x_iP(x_i)\\=(0*\dfrac13)+(3*\dfrac23)\\=\$2\\[/tex]
You would expect to win $2.
In ΔGHI, the measure of ∠I=90°, IG = 6.8 feet, and HI = 2.6 feet. Find the measure of ∠G to the nearest degree.
Answers
Answer:
[tex]\angle G=20.8\approx 21^{\circ}[/tex]
Step-by-step explanation:
Given: In ΔGHI, [tex]\angle I[/tex]=90°, IG = 6.8 feet, and HI = 2.6 feet
To find: [tex]\angle G[/tex]
Solution:
Trigonometry defines relationship between the sides and angles of the triangle.
For any angle [tex]\theta[/tex],
[tex]tan\theta[/tex] = side opposite to [tex]\theta[/tex]/side adjacent to [tex]\theta[/tex]
In ΔGHI,
[tex]tan G=\frac{HI}{GI}[/tex]
Put [tex]HI=2.6 \,\,feet\,,\,GI=6.8\,\,feet[/tex]
So,
[tex]tan G=\frac{2.6}{6.8}=0.38[/tex]
Therefore, [tex]\angle G=20.8\approx 21^{\circ}[/tex]
Answer:
G=24.6236≈24.6
One t-shirt is sold for every 5 people who attend a concert.what is one way to write the unit rate in words?
Answers
1 T-Shirt for every 5 people
First of all, B & C are wrong, because they say 5 T-shirts for one person.
Next, we will look at A & D. A is more grammatically correct, and so you should use A.
OR
Answer:
The last one
.
1. Instant Meals sent out free samples to introduce its new product, Sesame soup. Each
sample weighs 69 ounces. The post office charges thirty-six cents for every 23 ounces of
weight. How much would Instant Meals spend on postage to mail out one hundred eighty-eight
samples? include the $ sign
Answers
Answer:
$203.04
Step-by-step explanation:
First, you have to calculate the cost of sending one free sample and you could use a rule of three to find it:
23 onces → $0.36
69 onces → x
x=(69 onces*$0.36)/23 onces= $1.08
Then, you can multiply the cost of sending one free sample for the quantity of samples Instant Meals wants to mail out:
$1.08*188= $203.04
According to this, the answer is that Instant Meals would spend $203.04 on postage to mail out one hundred eighty-eight samples.
Trydint" bubble-gum company claims that 9 out of 10 people prefer their gum to "Eklypse". Test their claim at the 99 confidence level.
The null and alternative hypothesis in symbols would be:____________.
H0:μ≤0.9H0:μ≤0.9
H1:μ>0.9H1:μ>0.9
H0:μ≥0.9H0:μ≥0.9
H1:μ<0.9H1:μ<0.9
H0:p=0.9H0:p=0.9
H1:p≠0.9H1:p≠0.9
H0:μ=0.9H0:μ=0.9
H1:μ≠0.9H1:μ≠0.9
H0:p≥0.9H0:p≥0.9
H1:p<0.9H1:p<0.9
H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9
The null hypothesis in words would be:_____________.
1. The proportion of all people that prefer Trydint gum is 0.9
2. The proportion of all people that prefer Trydint gum is greater than 0.9.
3. The proportion of people in a sample that prefer Trydint gum is not 0.9
4. The average of people that prefer Trydint gum is not 0.9.5. The proportion of all people that prefer Trydint gum is less than 0.9.6. The average of people that prefer Trydint gum is 0.9.7. The proportion of people in a sample that prefers Trydint gum is 0.9.
Answers
Answer:
The null and alternative hypothesis in symbols would be:H0:μ=0.9
H1:μ≠0.9,
The null hypothesis in words would be:_____________.
1. The proportion of all people that prefer Trydint gum is 0.9
Step-by-step explanation:
The Null hypothesis should always be precise such as the given coin is biased. The null hypothesis is assigned a numerical value.
For example the average height of all students in a college is 62 inches. Symbolically it is written as :H0:μ=62
An alternative hypothesis is any other hypothesis which we accept when the null hypothesis is rejected.If the null hpothesis of the height of students is :H0:μ=62 then alternative hypothesis is H1:μ≠ 62
Answer:
H0: p = 0.9
H1: p ≠ 0.9
1. The proportion of all people that prefer Trydint gum is 0.9
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above;
The null hypothesis is that the proportion of all people that prefer Trydint gum is 0.9.
H0: p = 0.9
The alternative hypothesis is that the proportion of all people that prefer Trydint gum is not equal to 0.9.
H1: p ≠ 0.9
Help me please thanks
Answers
Answer:
7
Step-by-step explanation:
Work backwards:
(37-9)÷4=input
28÷4=input
input=7
The input was 7
48 divided by 4=6
The answer is 6
Aaron bought a set of plastic ice cubes with a mixture of water and air inside.
2 rectangular pyramids are stacked on the bases. The pyramid has a rectangular base of 15 millimeters by 20 millimeters, and a height of 30 millimeters.
What volume of water and air is inside each of the plastic ice cubes?
1,500 millimeters cubed
3,000 millimeters cubed
4,500 millimeters cubed
6,000 millimeters cubed
Mark this and return
Answers
Answer:
Volume of water and air is 3,000 mm³
Step-by-step explanation:
Given:
Length of base = 15 mm
Width of base = 20 mm
Height of figure = 30 mm
Find:
Volume of water and air is inside each of the plastic ice cubes.
Computation:
Height of each rectangular pyramid = Height of figure / 2
Height of each rectangular pyramid = 30 / 2
Height of each rectangular pyramid = 15 mm
Volume of each rectangular pyramid = lbh / 3
Volume of each rectangular pyramid = [15 × 20 × 15] / 3
Volume of each rectangular pyramid = [4,500] / 3
Volume of each rectangular pyramid = 1,500 mm³
Volume of water and air is inside each of the plastic ice cubes = 2 × Volume of each rectangular pyramid
Volume of water and air is inside each of the plastic ice cubes = 2 × 1,500
Volume of water and air is inside each of the plastic ice cubes = 3,000 mm³
Which of the following are true? If false, explain briefly.
​a. A very high​ P-value is strong evidence that the null hypothesis is false. ​
b. A very low​ P-value proves that the null hypothesis is false. ​
c. A high​ P-value shows that the null hypothesis is true.
d. A​ P-value below 0.05 is always considered sufficient evidence to reject a null hypothesis.
Answers
Answer:
The correct options are;
a. False
b. True
c. True
d. False
Step-by-step explanation:
We look at each of the options as follows
a. A very high p-value is strong evidence that the null hypothesis is false;
The above statement is false because the p-value indicates the likelihood of the null hypothesis being correct, therefore, a high p-value is indicative of the correctness (truth) of the null hypothesis
b. A very low p-value shows that the null hypothesis is false
The above statement is true
c. A high p-value shows that the null hypothesis is true
The above statement is true
d. A P-value below 0.05 is always considered sufficient evidence to reject a null hypothesis.
The above statement is false as the p-value below which we reject the null hypothesis is dependent on the value of the significance level, α.
For the polynomial 17x2 – x: (3 marks)
a. identify the terms
b. identify the coefficients of each term
c. name the polynomial
Answers
Answer:
See below
Step-by-step explanation:
Given polynomial is: [tex] 17x^2 - x[/tex]
a. Terms: [tex] 17x^2, \: \&\: - x[/tex]
b. 17 and - 1
c. Binomial or quadratic polynomial
PLEASE HELP!!! A bridge has a weight limit of 5000 kg. What is the heaviest load that a pickup truck weighing 4500 pounds could tow across the bridge? ( 1kg = 2.2 pounds)
Answers
Answer:
6500 lb
Step-by-step explanation:
The load limit of the bridge is ...
(5000 kg)(2.2 lb/kg) = 11,000 lb
The total of truck and trailer cannot exceed this value, so the trailer's weight cannot exceed ...
11,000 lb -4,500 lb = 6,500 lb . . . max trailer weight
the area of a square garden is 267 ft^2 what is the side length of each side? round your answer to the nearest hundredth place. if you had 65ft of fencing, will it be enough to go around and cover the garden? yes or no
Answers
Answer:
Side Length=16.34 ftNoStep-by-step explanation:
The area of the square garden=[tex]267$ ft^2[/tex]
Area of a Square of Side length s [tex]=s^2[/tex]
Therefore:
[tex]s^2=267$ ft^2\\$Take the square root of both sides\\s=\sqrt{267} \\$Side Lenght, s=16.34 ft (to the nearest hundredth place)[/tex]
Perimeter
Perimeter of a Square of Side length s=4s
Therefore, the perimeter of the garden =4*16.34=65.36 ft
Since 65 ft < 65.36 ft
Therefore, if you had 65 ft of fencing, it will not be enough to go around and cover the garden.
The time spent waiting at a traffic light can be considered a random variable with values from 0 seconds, it’s green when you approach and can go on through, to 30 seconds with the following distribution shape: What is the height of this distribution? Express your answer in decimal form using three decimal places. answer to three decimal places:
Answers
Answer:
H = 1/30
H = 0.0333
0.033
Step-by-step explanation:
The time spent waiting at a traffic light can be considered a random variable with values from 0 seconds,
it’s green when you approach and can go on through, to 30 seconds with the following distribution shape
The entire area under the distribution curve must be 1.
Let assume the Shape is rectangle
Given
Time taken from 0s to 30s = 30s - 0s = 30s
To find height of the distribution?
Let H = the height of the distribution
Based on the above assumption;.
H * 30 = 1 --- make H the subject of formula
H = 1/30
H = 0.0333
To three decimal places is 0.033
Hence, the calculated height of the distribution is 0.033rudo is making pizzas he needs 3/4 cup of cheese to make one whole pizza. he has 2/8 cup of cheese
Answers
Answer: He can make 1/3 of pizza.
Step-by-step explanation: Divide 2/8 by 3/4. When you divide fractions you need to keep the first number exactly as it is and change the sign to multiplication and flip the second number. It is going to be 2/8 times 4/3. Which is 8/24 and if you simplify it, divide 8 and 24 by 8, and the answer is 1/3.
The required solution is 1/3.
It is required to find the remaining part to make one whole pizza.
What is fraction?A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.
Given:
He has 2/8 cup of cheese.
Divide 2/8 by 3/4.
When you divide fractions you need to keep the first number exactly as it is and change the sign to multiplication and flip the second number. It is going to be 2/8 times 4/3. Which is 8/24 and if you simplify it, divide 8 and 24 by 8, and the answer is 1/3.
Therefore, the required solution is 1/3.
Learn more details about fraction here:
https://brainly.com/question/10354322
#SPJ2
Wafa drove 420 kilometers using 18 liters of gas. At this rate, how many liters of gas would she need to drive 357 kilometers?
Answers
Answer:
15.3 litres
Step-by-step explanation:
You can do this many different ways, but this is how i did it:
1) I'm going to find how much gas it takes to travel just 1 km.
So, to drive for 1 km, I only need 18/420 litres of gas.
*you can solve this, but you'll just get a really long decimal, so i find it easier just to keep it as a fraction until i'm at the end of solving.
2) Now times the amount of petrol it takes to travel 1 km by 357, to find the final answer.
18/420 x 357 = 15.3 litres
Hope that helped : )
A researcher wishes to estimate the proportion of left-handed people among a certain population. In a random sample of 820820 people from the population, 22.722.7% are left-handed. Find the margin of error for the 95% confidence interval for the population proportion. Round to four decimal places.
Answers
Answer:
The margin of error for the 95% confidence interval for the population proportion is of 0.0287.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Find the margin of error for the 95% confidence interval for the population proportion.
We have that [tex]n = 820, p = 0.227[/tex]
So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.227*0.773}{820}} = 0.0287[/tex]
The margin of error for the 95% confidence interval for the population proportion is of 0.0287.
what is the least amount of cardboard needed to make a box that measures 7 inches by 12 inches by 5 inches
Answers
Answer:
420 Square Units
Step-by-step explanation:
7*12*5 = 420 units
Maths Fractions Questions! How to do? Will mark the BRAINLIEAST!
Answers
Answer:
1. 5 packets
2. 3/8
1. 4/5 to 16/20
1/4 to 5/20
1/10 to 2/20
16- (2*5)= 16-10= 6
6/2 = 3 packets
2 pack.+3 pack.= 5 packets
2. 1/2= .5
.5*3/4=.375
.375=3/8
It takes four teachers two and a half hours to mark a set of test papers. How long would it take six teachers to mark the same set of papers at the same rate?
Answers
Answer:
1 hour and 40 min
Step-by-step explanation:
4 x 1 x 2.5=5/3=1 2/3=1 hr and 40 min
Solve the quadratic equation 3x²+2x-4=0
Answers
Answer:
Step-by-step explanation:
Hello,
[tex]\Delta = 2^2-4*3*(-4)= 4+48=52[/tex]
so the two solutions are
[tex]\dfrac{-2+2\sqrt{13}}{2*3}=\dfrac{\sqrt{13}-1}{3}=0.87\\\\\dfrac{-2-2\sqrt{13}}{2*3}=-\dfrac{\sqrt{13}+1}{3}=-1.54\\\\[/tex]
Approximately 12.6% of all (untreated) Jonathan apples had bitter pit in a study conducted by the botanists Ratkowsky and Martin. (Bitter pit is a disease of apples resulting in a soggy ore, which can be caused either by overwatering the apple tree or by a calcium deficiency in the soil.) Let n be a random variable that represents the first Jonathan apple chosen at random that has bitter pit.(a) Write out a formula for the probability distribution of the random variable n. (Use p and n in your answer.)P(n) = (b) Find the probabilities that n = 3, n = 5, and n = 12. (Use 3 decimal places.)P(3) P(5) P(12) (c) Find the probability that n ≥ 5. (Use 3 decimal places.)(d) What is the expected number of apples that must be examined to find the first one with bitter pit? Hint: Use μ for the geometric distribution and round.
Answers
Answer:
Step-by-step explanation:
Let n be a random variable that represents the first Jonathan apple chosen at random that has bitter pit.
a) P(X = n) = q(n-1)p, where q = 1 - p.
From the information given, probability if success, p = 12.6/100 = 0.126
b) for n = 3, the probability value from the geometric probability distribution calculator is
P(n = 3) = 0.096
For n = 5, the probability value from the geometric probability distribution calculator is
P(n = 5) = 0.074
For n = 12, the probability value from the geometric probability distribution calculator is
P(n = 12) = 0.8
c) For n ≥ 5, the probability value from the geometric probability distribution calculator is
P(n ≥ 5) = 0.58
d) the expected number of apples that must be examined to find the first one with bitter pit is the mean.
Mean = 1/p
Mean = 1/0.126 = 7.9
Approximately 8 apples
I need the answer here is the question:
Write the fraction in simplest form . And the picture ☝
Answers
Find the greatest common factor between 8 and 14, which is 2. Then divide both numbers by 2 and u get 4 and 7. Thus 8/14=4/7
Answer:
i need points sorry
Step-by-step explanation:
nfefgrn
~Help me with this please it’s a math test answer correctly and I will mark as BRANLIEST and I will give you 55 points!!
Answers
Answer:
the weight of 1 textbook is 2 pounds
the weight of 1 game is about 0.5 pounds
Step-by-step explanation:
1/2 of 2 = 0.5 pounds
0.5 times 8 (games) = 4
22 - 4 = 18
18 divided by 9 (textbooks) = 2 pounds
Answer:
Each game is 0.5 pounds and each textbook is 2 pounds.
Step-by-step explanation:
If x represents games and y represents textbooks you can use the equation
6x + 9y = 21
we know that if the box was 21 pounds and she adds two games and it's now 22 pounds that each game is 0.5 pounds so x = 0.5
after plugging in the x value the equation is:
3 + 9y = 21
Combine like terms and it's 9y = 18
Divide 18 by 9 and you get:
Y= 2
Hope this helps! Good luck on your test.
Please answer this correctly
Answers
Answer:
1570f³t
Step-by-step explanation:
V=πr²h
V=3.14×10²×5
V=3.14×100×5
V=314×5
V=1570
For what values of x is x2-36=5x true? answer is b on edge
Answers
What is the solution to this equation?
Answers
Answer:
x = 9
Step-by-step explanation:
First, we want to isolate variable x on the left side of the equation. We can do this by adding 13 to both sides.
x - 13 + 13 = - 4 + 13
x = 9
Answer:
[tex]x=9[/tex]
Step-by-step explanation:
to find the answer, add 13 to both sides of the equation.
[tex]x-13=-4\\ +13 = +13 \\x=9[/tex]
Dash puts $4125 into an account using compounded continuously. If he keeps the
money in the account for 5 years and now has a total of $4193.89. What is the
interest rate?
Answers
Answer:
0.33%
Step-by-step explanation:
The account value when principal P is compounded continuously at annual rate r for t years is given by ...
A = Pe^(rt)
For the given values, we can solve for r:
4193.89 = 4125e^(r·5)
We can divide by 4125, take the natural log, then divide by the coefficient of r to find the value of r:
ln(4193.89/4125)/5 = r ≈ 0.33%
The interest rate is about 0.33%.
simplify the equation below and find the value of x
4/2x-5)= 20
Answers
Answer:
x=13/5
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answers
Answer:
D : {3,5,7,9}
Step-by-step explanation:
The domain is the input to the function or in this case the x values
D : {3,5,7,9}
_________________________________
Hey!!!
Answer:
Domain:{3,5,7,9}
Explanation:
DomainLet R be a relation from A to B.Then the set of first components or the set of elements of A are called domain.
Hope it helps
Good luck on your assignment
________________________________
si 16 cajas de lapices valen 16.640 cuanto valen 25 cajas????? PORFAVOR AYUDA:)
Answers
Answer:
416
Step-by-step explanation: pues creo que esa es tu respuesta :)