Step-by-step explanation:
V∝I
V=kI
36=k*8
k=36/8
k=4.5
a. V=4.5I
b. V=4.5*14
V= 63
c. 27=4.5I
I=27/4.5
I= 6
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:
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 0.033Wafa drove 420 kilometers using 18 liters of gas. At this rate, how many liters of gas would she need to drive 357 kilometers?
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 : )
What is the solution to this equation?
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]
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
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
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?
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
I Don’t get It Plz Help
Answer:
D
Step-by-step explanation:
Its D because there is one dot that's far away from the rest, so there is one outlier. Hopefully this was helpful, I really am not the best person at giving explanations
Answer:
D. There is one outlier.
Step-by-step explanation:
Most of the points on the scatterplot are contained in one cluster, but there is one point that is not in the same cluster as the others.
For what values of x is x2-36=5x true? answer is b on edge
Maths Fractions Questions! How to do? Will mark the BRAINLIEAST!
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
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?
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.
Suppose Harvey owns a small business that produces computer motherboards. He previously owned one machine, machine A, that produced these motherboards. In an effort to increase production, he recently purchased a new machine, machine B, that also produces motherboards. Although both machines produce motherboards at the same rate, Harvey suspects that machine A produces fewer defective motherboards than machine B. In order to test this hypothesis, he randomly selects 260 motherboards produced by machine A and 200 motherboards produced by machine B. He observes that 13 of the sampled items from machine A are defective and 14 sampled items from machine B are defective. Harvey plans to use the sample data he collected to test if the frequency of defective items produced by machine A is less than the frequency of defective items produced by machine B.
Select the appropriate test that Harvey should perform to test his hypothesis.
a. two-sample t-test for two means
b. one-sample z-test for a mean
c. one-sample z-test for a proportion
d. matched-pairs t-test
e. two-sample z-test for two proportions
Answer:
e. two-sample z-test for two proportions
Step-by-step explanation:
He has two machines, which have a proportion of defective motherboards. He want to compare this two proportions.
He takes two samples, one for each machine, and calculate the proportion in order to statistically test if there are significant difference between the proportions.
Then, this is a two-sample z-test for two proportions
Solve for x in the diagram.
Answer:
x = 20
Step-by-step explanation:
x° + 2x° + (x+10)° = 90°
3x° + x° + 10° = 90°
4x° + 10° = 90°
4x° = 90°-10°
4x° = 80°
x = 80/4
x = 20
Answer:
20°
Step-by-step explanation:
The sum of all three angles combined is 90°. You can see this by the square at the corner. This means that you have to add all of the angles together and set it equal to 90° to solve for x.
x° + 2x° + (x + 10)° = 90°
3x° + (x + 10)° = 90°
4x° + 10° = 90°
4x° = 80°
x = 20°
For the polynomial 17x2 – x: (3 marks)
a. identify the terms
b. identify the coefficients of each term
c. name the polynomial
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
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.
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
What’s the correct answer for this question?
Answer:
A.
Step-by-step explanation:
In the attached file
B
А
С
T
D
© 2016 Strong Mind. Created using GeoGebra.
In circle T, m AB = (3x + 9° and mCD = (11x – 71).
What is the measure of AB?
61°
37°
10°
39°
Answer:
D. 39°
Step-by-step explanation:
mAB = (3x + 9°)
mCD = (11x – 71)
From the diagram: |AB|=|CD|
Since arcs AB and CD are subtended by a chord of equal length.
mAB=mCD
3x + 9°=11x – 71°
Collect like terms to solve for x
11x-3x=9°+71°
8x=80°
x=10°
Therefore, the measure of AB:
mAB = (3x + 9°)
=3(10)+9
=30+9
=39°
The correct option is D.
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?
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%.
.
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
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.
si 16 cajas de lapices valen 16.640 cuanto valen 25 cajas????? PORFAVOR AYUDA:)
Answer:
416
Step-by-step explanation: pues creo que esa es tu respuesta :)
A farmer has a total of 21 cows and chickens altogether The animals have 54 legs how many cows and how many chickens does the farmer have?
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
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
________________________________
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.?
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.
Can someone solve this?
Answer:
x = 6y = 18Step-by-step explanation:
The relevant relation is that the product of distances from the point of intersection of secants to the two points of intersection of each with the circle is a constant. The point of tangency counts as both points of intersection.
__
By way of example, the product of distances to the circle for the tangent segment is 10·10 = 100
This is also the product of the distances on the secant that intersects the tangent:
100 = 5(5+x+9)
20 = x +14 . . . . . divide by 5
x = 6 . . . . . . . . . . subtract 14
__
The same is true when the secants intersect inside the circle:
6·9 = y·3
y = 18 . . . . . . divide by 3
40% of a number is 44. Find the number
Answer:
110
Step-by-step explanation:
40% is the same as 40/100, which is equal to 0.4. Therefore, you can write the following equation:
0.4x=44
Divide both sides by 0.4 to isolate x:
x=44/0.4=110
Hope this helps!
A jar contains 2 red marbles, 3 blue marbles, and 1 green marble. What is the probability of selecting a blue marble ?
Answer:
16.666%
Step-by-step explanation:
100/6=16.66
Please answer this correctly
Answer:
1570f³t
Step-by-step explanation:
V=πr²h
V=3.14×10²×5
V=3.14×100×5
V=314×5
V=1570
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)
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
FIND THE CORRECT INTERCEPT OF THE LINE!
find the X and Y.
and please tell me how u got it. u know if u can
Answer:
see below
Step-by-step explanation:
The x intercept is where it crosses the x axis
It crosses at x = -7.5
(-7.5,0)
The y intercept is where it crosses the y axis
It crosses at y = 5.5
(0,5.5)
Evaluate the function for x = -4n.
Ax)= 47° - 50
A. -64n2 + 20n
B.
64n" + 20x
C. -64n? - 20n
D. 64n2 – 202
what is the least amount of cardboard needed to make a box that measures 7 inches by 12 inches by 5 inches
Answer:
420 Square Units
Step-by-step explanation:
7*12*5 = 420 units
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
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.