Answer:
She talked for 138 minutes
Step-by-step explanation:
A company produces and sells homemade candles and accessories. Their customers commonly order a large candle and a matching candle stand. The weights of these candles have a mean of 500g and a standard deviation of 15g. The weights of the candle stands have a mean of 200g and a standard deviation of 8g. Both distributions are approximately normal.
Let T= the total weight of a randomly selected candle and a randomly selected stand, and assume that the two weights are independent.
If the total weight T of the two items is under 683g, the company gets a discount on shipping.
Find the probability that the total weight is under 683g.
You may round your answer to two decimal places.
P(T<683)≈
Answer:
P(T<683) = 0.1587 = 15.87% ≈ 16%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Sum of normal variables:
When two normal variables are added, the mean is the sum of the means, while the standard deviation is the square root of the sum of the variances.
The weights of these candles have a mean of 500g and a standard deviation of 15g. The weights of the candle stands have a mean of 200g and a standard deviation of 8g.
The package consists of one candle of each type. So
[tex]\mu = 500 + 200 = 700[/tex]
[tex]\sigma = \sqrt{15^2 + 8^2} = 17[/tex]
Find the probability that the total weight is under 683g.
This is the pvalue of Z when X = 683.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{683 - 700}{17}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
So
P(T<683) = 0.1587 = 15.87% ≈ 16%.
Answer:
0.1587 Step-by-step explanation:kahn
please dont answer if you are not 100% sure.
Make sure you answer both parts and be detailed in your explanation.
a) The equation 2x + 8 = 2(x+4) works for all values of x. Explain how you know.
b) The equation 3x +7 = 3(x+7) works for no values of x. Explain how you know.
Answer:
a) 2x + 8 = 2(x + 4) has infinite solutions because it simplifies down to x = x. Here is the work where this equation is solved.
2x + 8 = 2(x + 4)
2x + 8 = 2(x) + 2(4)
2x + 8 = 2x +8
2x + 8 - 8 = 2x + 8 -8
2x = 2x
2x/2 = 2x/2
x = x
So, because the equation ends in x = x, you can substitute any value for x and the equation will remain true.
----------------------------------------------------------------------------------------------------------------
b) 3x + 7 = 3(x + 7) has no solutions because it simplifies down to an untrue statement. The equation is simplified below.
3x + 7 = 3(x + 7)
3x + 7 = 3(x) + 3(7)
3x + 7 = 3x + 21
3x + 7 - 7 = 3x + 21 - 7
3x = 3x + 14
3x/3 = 3x/3 +14
x = x + 14
However, this is false. x cannot be equal to itself plus 14.
x ≠ x + 14
The simplification of this equation is untrue, so there is no solution to it.
----------------------------------------------------------------------------------------------------------------
I hope this is helpful :) Good luck
Profit, P (x), is the difference between revenue, R (x), and cost C (x), so P (x) = R (x) - C (x), Which expression represents P (x), if R (x) = 2x^4 - 3x^3 + 2x - 1 and C (x) = x^4 - x^2 + 2x + 3?
A) x^4 - 3x^3 - x^2 + 4x +2
B) 3x^4 - 3x^3 - x^2 + 4x + 2
C) x^4 - 3x^3 + x^2 - 4
D) 2x^8 - 3x^3 + x^2 - 4
What is the mode of this
data?
5, 3, 3, 6, 7, 9, 10
uh help
Answer:
3
Step-by-step explanation:
3 appears the most (twice)
The rest of the numbers only appear once
Find the Mode of the following set of data. (Round to the nearest whole number.)
1, 1, 3, 0, 7, 2, 0, 3, 1, 6, 8, 1
Answer:
1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The mode is the number which occurs most frequently in the data set.
In this question, 1 appears the most frequently meaning that the correct mode is is 1.
What is BD? please help
Please Help Me ASAP.
Answer:B
Step-by-step explanation:
The larger cube measures 20 cm on each edge. What is the surface area?
Answer:
2400
Step-by-step explanation:
Give Me brainllest plz T-T
Mai biked miles today, and Noah biked miles. How many times the length of Noah’s bike ride was Mai’s bike ride?
Answer: I'm sorry but you'd have to be more specific. Please include numbers.
Step-by-step explanation:
HELP ME PLEASEEEEEEEEE
Answer:
11 units
Step-by-step explanation:
Just count the square or units in between the 2 points and there are 11 units in between them
Every hour of training raises the salary $ _____.
Answer:
salary increases by $ 10 every hour
A zoo has 15 toucans and 75 parrots What is the ratio of the number of toucans to the number or parrots in the zoo
Answer:
Since there is 15 toucans and 75 parrots the ratio would be written as
15/75
Step-by-step explanation:
As of 15 to 75. Then write out with a colon between the too! 15:75
Hope this helped and have a wonderful day!! <33
The rectangle below has an area of x^2-4x-12x 2 −4x−12x, squared, minus, 4, x, minus, 12 square meters and a length of x+2x+2x, plus, 2 meters.
Answer:
35
Step-by-step explanation:
An agricultural scientist collected data to study the relationship between the amount of nitrogen added to a cornfield and the number of
bushels of corn produced. This is the regression line of the data, where y is measured in bushels of corn and x is measured in pounds of
nitrogen.
y = 0.43x + 28.5
What is the meaning of the slope of the regression line?
O A. For every 0.43 pounds of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels.
OB. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels.
-
OC. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels.
OD. For every 28.5 pounds of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels.
Answer:
D.
Step-by-step explanation:
just done the assignment
Linear regression line is a algebraic model to show the relationship between the two models by putting the value of the one variable to get the value of other.. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels. Therefore the option B is the correct option.
Given information-The equation of the experiment to know the relationship between the amount of nitrogen added to a cornfield and the number of bushels of corn produced is,
[tex]y=0.43x+28.5[/tex]
Linear regression lineLinear regression line is a algebraic model to show the relationship between the two models by putting the value of the one variable to get the value of other.
Linear regression line can be represent as,
[tex]y=Ax+B[/tex]
Here x is the explanatory variable and y is the dependent variable. A is the slope of the line and B is the intercept.
In the given equation there are two variable given.
Variable x represent the amount of nitrogen added, and the variable y, represents the number of bushels of corn produced.
As putting the value of x the y increases with value of number 0.43. Thus as we are increasing the value of the nitrogen with unit 1 the number of bushels of corn produced is increased by unit 0.43.
Hence for every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels. Therefore the option B is the correct option.
Learn more about the linear regression here;
https://brainly.com/question/25311696
What is the volume to the nearest tenth?
Answer:
34.4 yds3
Step-by-step explanation:
tuve la misma pregunta hoy
How many faces does a triangular pyramid have?
A. 3
B. 6
C. 4
D. 5
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
C. 4.
thanks hope it helpswhat is the answer for is I need help please. 4/5 - 1/4
Answer:
11/ 20
Step-by-step explanation:
it cannot be reduced any further
Answer: 11/20 or in decimal 0.55
Step-by-step explanation:
____times 10=662.2
____times 100=403
____times 1000=108
Answer:
1. 66.22
2. 4.03
3. 0.108
Step-by-step explanation:
divide the answers by the other numbers (10,100,1000)
662.2 ÷ 10 = 66.22
403 ÷ 100 = 4.03
108 ÷ 1000 =0.108
~R3V0
How are the outdoors healthy than the indoors?
The U.S. government has devoted considerable funding to missile defense research over the past 20 years. The latest development is the Space-Based Infrared System (SBIRS), which uses satellite imagery to detect and track missiles (Chance, Summer 2005). The probability that an intruding object (e.g. a missile) will be detected on a ight track by SBIRS is 0.8. consider a sample of 20 simulated tracks, each with an intruding object. Let x equal the number of these tracks where SBIRS detects the object.
Required:
a. Demonstrate that x is (approximately) a binomial random variable.
b. Give the values of p and n for the binomial distribution.
c. Find P(x = 15), the probability that SBIRS will detect the object on exactly 15 tracks.
d. Find P(x≥15) the probability that SBIRS will detect the object on at least 15 tracks.
e. Find E(x) and interpret the result.
Answer:
Part A:
[tex]P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}[/tex]
x is a binomial Random Variable.
Part B:
Value of p=0.8
Value of n=20
Part C:
P(X=15)=0.17456
Part D:
P(X≥15)=0.80417
Part E:
E(x)=16
E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.
Step-by-step explanation:
Part A:
Binomial Distribution is used because the number of tracks and the probability to find the intruding object is constant for all tracks
It means:
[tex]P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}[/tex]
x is a binomial Random Variable.
Part B:
Value of p=0.8
Value of n=20
Part C:
x=15
[tex]P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\[/tex]
By solving above Expression:
P(X=15)=0.17456
Part D:
P(X≥15)=P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)
[tex]P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\[/tex]
P(X=15)=0.17456
[tex]P(X=16)=20_{C_{16}}*0.8^{16}*(1-0.8)^{20-16}\\P(X=16)=0.21819[/tex]
[tex]P(X=17)=20_{C_{17}}*0.8^{17}*(1-0.8)^{20-17}\\P(X=17)=0.20536[/tex]
[tex]P(X=18)=20_{C_{18}}*0.8^{18}*(1-0.8)^{20-18}\\P(X=18)=0.13691\\\\P(X=19)=20_{C_{19}}*0.8^{19}*(1-0.8)^{20-19}\\P(X=19)=0.05765\\\\P(X=20)=20_{C_{20}}*0.8^{20}*(1-0.8)^{20-20}\\P(X=20)=0.01153[/tex]
Now, Adding Probabilities:
[tex]P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)\\=0.17456+0.21819+0.20536+0.13691+0.05765+0.01153\\[/tex]
P(X≥15)=0.80417
Part E:
Mean Distribution:
E(x)=n*p
E(x)=20*0.8
E(x)=16
E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.
kim is paid £9.40 per hour for the first 35 hours she worked each week
after 35 hours she is paid at one and a quater times the hourly rate
calculate how much she is paid for that week
Answer:
after 35 hours she makes 11.75 an hour
Step-by-step explanation:
Whats 3/10 divided by 6?
Answer:
0.05
Step-by-step explanation:
Hope this helps you!
In triangle ABC, m∠A=(2x+2)∘, m∠C=54∘, and the exterior angle at B is (4x)∘.
Triangle A B C. Angle A is 2 X plus 2 degrees, angle C is 54 degrees, & the exterior angle at B is 4 X degrees.
What is the measure of angle A?
58∘
112∘
28∘
68∘
Answer:
58°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the two remote interior angles.
m∠A + m∠C = measure of exterior angle at B
2x + 2 + 54 = 4x
2x + 56 = 4x
2x = 56
x = 28
m∠A = 2x + 2 = 2(28) + 2 = 56 + 2 = 58°
Answer:
A
Step-by-step explanation:
Remark
<A + <C = the exterior angle.
Two remote interior angles = the exterior angle that neither connects to.
Remote means that the angles do not share any line in common with the remote angle. One of them might share a line extended with the exterior angle.
Equation
<A + <C = Remote angle connected to the supplement of B
Givens
m<A = 2x + 2
m<C = 54
Remote angle = 4x
Solution
2x + 2 + 54 = 4x Combine like terms on the left
2x + 56 = 4x Subtract 2x from both sides
56 = 4x - 2x
2x = 56 Divide by 2
x = 56/2
x = 28
Answer
<A = 2x + 2
<A = 2*28 + 2
<A = 56 + 2
<A = 58
Please help with this I'm very confused
Answer: C. 5x+6(-x+4)=13
Step-by-step explanation: When you substitute you just put the equation in not the variables.
Options A and D don't give a solution and B includes the variable y.
plz help will give crown
Answer: I would have to say 1/21
Step-by-step explanation: Because since there is only 2 aces i believe that drawing one is quite out of the ordinary.
Please help I'll give brainliest
Hope it helps you
Have a good day
what does it mean to square and cube a number?
Answer:
When you multiply a whole number by itself, you get a square number. When you take three copies of a whole number and multiply them all together, you get a cube number.
A garden watering bucket has 3000 milliliters
of water in it, but there is a hole that is leaking
18 milliliters every minute. How much
water remains in the container after
a certain number of minutes?
Answer:
3000 - 18*x
Step-by-step explanation:
if "a certain number of minutes" = x then
water remains in the container = 3000 - 18*x
Answer:
y = 3000 - 18x
Step-by-step explanation:
To describe the scenario of a garden watering bucket with 3000 milliliters of water and a leak of 18 milliliters per minute, we can create a function.
Let's denote the number of minutes as 'x' and the amount of water remaining in the container as 'y'. The function can be represented as:
y = 3000 - 18x
In this function, 3000 represents the initial amount of water in the container, and 18x represents the amount of water leaked after x minutes.
Therefore, the function that describes the scenario is:
find the cost of 72 books at 5.75
Answer: $414
Step-by-step explanation:
Total of books= 72
Cost of each book= $5.75
72(5.75)= $414
write an expression that represents the quotient of a number and 3 multiplied by 4
Answer:
N (3×4) or (N×3) 4
Step-by-step explanation: