Answer:
so what is the question
Step-by-step explanation:
pls be more detailed. thank you
Convert 6300 seconds into weeks. Round your answer to the nearest hundredth.
Answer:
0.01
Step-by-step explanation:
The answer I got was 0.01041667
You go to the hundreths place and the 0 and the 4 tell you to round up.
I hope this helped
Answer: .01 weeks
Step-by-step explanation:
A person removes two aces, a king, one queen, and three jacks from a deck of 52 playing cards, and draws, without replacement, two more cards from the deck. Find the probability that the person will draw two aces, two kings, or an ace and a king.
The probability that the person will draw two aces, two kings, or an ace and a king is 1/330.
To find the probability of drawing two aces, two kings, or an ace and a king, we need to calculate the probability of each event separately and then add them together.
First, let's determine the total number of cards remaining in the deck after removing the specified cards:
52 - 2 (aces) - 1 (king) - 1 (queen) - 3 (jacks) = 45 cards
Probability of drawing two aces:
There are 2 aces remaining in the deck, and the person will draw 2 cards from the remaining 45 cards.
Probability of drawing two aces = (2/45) * (1/44) = 2/1980
Probability of drawing two kings:
There is 1 king remaining in the deck, and the person will draw 2 cards from the remaining 45 cards.
Probability of drawing two kings = (1/45) * (0/44) = 0
Probability of drawing an ace and a king:
There are 2 aces and 1 king remaining in the deck, and the person will draw 2 cards from the remaining 45 cards.
Probability of drawing an ace and a king = (2/45) * (1/44) + (1/45) * (2/44) = 4/1980
Finally, we add up the probabilities of the three events:
Probability of drawing two aces, two kings, or an ace and a king = (2/1980) + (0) + (4/1980) = 6/1980 = 1/330
Therefore, the probability that the person will draw two aces, two kings, or an ace and a king is 1/330.
To know more about probability, visit:
https://brainly.com/question/32597517
#SPJ11
The triangle inequality theorem states the sum of the lengths of any two sides of a triangle is _____ the length of the third side.
Answer:
see explanation
Step-by-step explanation:
the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
if the sides are a, b, c , then the following must be true
a + b > c
a + c < b
b + c > a
for the 3 sides to form a triangle
least to greatest 4/5,-1.4, 0.75, -21/3,21%
Answer: -1.4, -21/3, 4/5, 21%
Step-by-step explanation:
the alvin secretarial service procures temporary office personnel for major corporations. they have found that 40% of their invoices are paid within ten working days. a random sample of 13 invoices is checked. what is the probability that at least 5 of the invoices will be paid within ten working days? round your answer to four decimal places.
The prοbability that at least 5 οf the invοices will be paid within ten wοrking days is 0.3547 (rοunded tο fοur decimal places).
What is a binοmial distributiοn prοblem?A binοmial distributiοn prοblem is a statistical prοblem that invοlves a fixed number οf independent trials, where each trial can have οnly twο pοssible οutcοmes (success οr failure), and the prοbability οf success is the same fοr each trial.
The binοmial distributiοn is used tο mοdel the number οf successes in a fixed number οf trials. The number οf successes is a randοm variable, denοted by X, and the prοbability οf οbtaining exactly k successes in n trials is given by the binοmial prοbability fοrmula:
P(X=k) = (n chοοse k)\($ *p^k * (1-p)^{(n-k)pi\)
This is a binοmial distributiοn prοblem, where the prοbability οf success (an invοice is paid within ten wοrking days) is p = 0.4, and the number οf trials (invοices checked) is n = 13.
Tο find the prοbability οf at least 5 invοices being paid within ten wοrking days, we need tο calculate the prοbability οf 5, 6, 7, ..., 13 invοices being paid within ten wοrking days, and add these prοbabilities tοgether.
Using a binοmial prοbability calculatοr οr fοrmula, we can find each individual prοbability:
P(X = 5) = 0.2281
P(X = 6) = 0.0887
P(X = 7) = 0.0278
P(X = 8) = 0.0073
P(X = 9) = 0.0016
P(X = 10) = 0.0003
P(X = 11) = 0.0000
P(X = 12) = 0.0000
P(X = 13) = 0.0000
To find the probability of at least 5 invoices being paid within ten working days, we add these probabilities:
P(X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13)
P(X ≥ 5) = 0.3547
Therefore, the probability that at least 5 of the invoices will be paid within ten working days is 0.3547 (rounded to four decimal places).
To learn more about binomial distribution
https://brainly.com/question/14565246
#SPJ1
Write in standard form x^2+5x^3-4-2x
Answer:
(5x 2 +6x+4)(x−1)
Step-by-step explanation:
5. Given that a + b = 8 and ab = 15, find the value of (a+b)² and a² + b²
Answer:
64 and 34
Step-by-step explanation:
Given
a + b = 8 ( square both sides )
(a + b)² = 8² = 64
------------------------------------------------
(a + b)² = 64 ← expand left side
a² + b² + 2ab = 64 ← substitute ab = 15
a² + b² + 2(15) = 64
a² + b² + 30 = 64 ( subtract 30 from both sides )
a² + b² = 34
A researcher selects a sample of participants to test for differences in employment rates among part-time and full-time teachers. Because there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job sector. Which type of quota sampling was used in this example
Answer: proportionate
Step-by-step explanation:
Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.
Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.
find the area of the large sector for a circle with a radius of 13 and an angle of 45 degrees
Answer:66.4
Step-by-step explanation:
Simplify each expression
8a-4a
Answer: 4a
Step-by-step explanation:
Answer:
4a
Step-by-step explanation:
8 of something minus 4 of something gives you 4 of that thing
1. On the subway, 8 out of 11 people are
carrying a briefcase. Based on this
information, if there are 700 people on the
subway, then about how many do not have a briefcase?
Answer:
87-88
Step-by-step explanation:
\(8/11 =72.72\\ 700/11 = 87.5\\ \)
Does anyone know this!? Please help!
If the answer is correct ill mark you as the best choice!!!
A corporation has a continuous compounded bank account with 2.7% annual interest. The board of directors has placed $95218 in the account, making the formula for the amount in the account after t years F(t) = 9521800276. At what rate is the account growing after 6 years? Round your answer to two decimal places.
The formula for the amount in the account after t years is given by:
F(t) = 9521 *\(e^(0.027t)\)
Let's find out:
We want to find the rate at which the account is growing after 6 years, which is the first derivative of the function F(t) with respect to t, evaluated at t = 6:
F'(6) = (d/dt) [9521 * \(e^(0.027t)\)] | t=6
Using the chain rule of differentiation, we get:
F'(6) = 9521 * 0.027 * \(e^(0.027t)\) | t=6
F'(6) = 9521 * 0.027 *\(e^(0.027*6)\)
F'(6) ≈ 1429.97
Rounding to two decimal places, the rate at which the account is growing after 6 years is approximately 1429.97. The units of the rate are dollars per year.
To know more about derivatives visit
brainly.com/question/30365299
#SPJ1
HELP ASAPPPP
In two sample surveys, 125 people were asked about their favorite fruit. In the first survey, 40 people chose apples, 64 chose oranges, and 21 chose bananas. In the second, 43 chose apples, 63 chose oranges, and 19 chose bananas. Marianne inferred that most people prefer oranges. Is this inference true based on the data? Explain.
Answer:
More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.
I hope this helps you
Step-by-step explanation:
let/ and g be continuous functions such that to f{x) dx = 21, f010 ½x(.x) dx = 8, and jio jj 3 (f(x)-g(x)} dx = 2. whal is the value of o (f(:c)-g(x)) dx?
The value of ∫ (f(x)-g(x))dx is 13. This can be determined by using the fundamental theorem of calculus and the given conditions.
According to the fundamental theorem of calculus, the integral of a function is equal to the difference between its values at the upper and lower limits.
As a result, we can find the value of ∫ (f(x)-g(x))dx by subtracting the value of ∫ g(x)dx from the value of ∫ f(x)dx.
The value of ∫ f(x)dx is given to be 21 and the value of ∫ g(x)dx is given to be 8. Therefore, the value of ∫ (f(x)-g(x))dx is equal to 21 - 8, which is 13.
Furthermore, we can also confirm this answer using the given condition of ∫ jj 3 (f(x)-g(x))dx = 2.
This means that the value of ∫ (f(x)-g(x))dx is equal to the difference between the values of ∫ f(x)dx and ∫ g(x)dx plus the value of ∫ jj 3 (f(x)-g(x))dx.
As a result, 21 - 8 + 2 = 13, which confirms the answer of 13.
Know more about fundamental theorem of calculus here
https://brainly.com/question/30761130#
#SPJ11
A group of 3 friends went to the movies. after paying for their tickets, they had a total of $10 to spend on refreshments. sodas cost $1.50 each, and a box of popcorn cost $1.75. how many sodas can they buy if they purchase 2 boxes of popcorn?
Answer:
they can buy 4 sodas
Step-by-step explanation:
A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a sample of 300 items, 27 are defective. Find a point estimate for the true proportion of defectives from this production line.
The point estimate for the true proportion of defectives from this production line is approximately 0.09 or 9%.
The point estimate for the true proportion of defectives from this production line is the sample proportion, which is:
The point estimate for the proportion of defectives from this production line is: 27/300 = 0.09 or 9%
This means that based on the sample data, the quality control engineer can estimate that 9% of items coming off the production line are defective.
However,
It is important to note that this is just an estimate and may not be exactly accurate. The true proportion of defectives could be higher or lower than 9%.
To improve the accuracy of the estimate, the engineer could increase the sample size.
A larger sample size would provide more data points and reduce the margin of error.
Additionally, the engineer could use statistical methods to calculate a confidence interval for the true proportion of defectives.
This would provide a range of values within which the true proportion is likely to fall with a certain degree of confidence.
Overall,
The point estimate is a useful starting point for assessing the quality of the production line, but it should be supplemented with additional analysis to ensure accurate results.
p-hat = (number of defective items in the sample) / (sample size)
p-hat = 27/300
p-hat ≈ 0.09
For similar question on true proportion :
https://brainly.com/question/29061654
#SPJ11
The distance between point and plane is the length of the perpendicular to the plane passing through the given point. In other words, we can say that the distance between point and plane is the length of the normal vector dropped from the given point onto the given plane. If we want to determine the distance between the point P with coordinates (xo, yo, zo) and the given plane with equation Ax + By + Cz = D, then the distance between point P and the given plane is given by |Axo + Byo+ Czo + D|/√(A2 + B2 + C2).
The distance between a point and a plane can be expressed as |Axo + Byo + Czo + D|/√(A^2 + B^2 + C^2), where (xo, yo, zo) are the coordinates of the point and Ax + By + Cz = D is the equation of the plane.
To find the distance between a point P with coordinates (xo, yo, zo) and a plane with equation Ax + By + Cz = D, we can use the formula derived from the dot product of the vector normal to the plane and the vector from the point P to any point Q on the plane.
Let n be the normal vector to the plane, and let Q have coordinates (xq, yq, zq). Then, the vector from P to Q is given by the vector PQ = (xq - xo, yq - yo, zq - zo). The dot product of n and PQ is given by:
n · PQ = n1(xq - xo) + n2(yq - yo) + n3(zq - zo)
where n1, n2, and n3 are the components of the normal vector n. The distance between point P and the plane is the absolute value of n · PQ divided by the magnitude of the normal vector, which is given by:
distance = |n · PQ|/√(n1^2 + n2^2 + n3^2)
Substituting the equation of the plane into n · PQ, we get:
n · PQ = Axq + Byq + Czq - D - (Axo + Byo + Czo)
Simplifying and substituting into the formula for distance, we obtain:
distance = |Axo + Byo + Czo + D|/√(A^2 + B^2 + C^2)
This formula gives the distance between point P and the plane with the equation Ax + By + Cz = D.
To know more about dot product, refer here:
https://brainly.com/question/29097076#
#SPJ11
Given that GJ = 70.2, JH = 26.5, and GK = 70.2, find the measure of JK.
The measure of the segment JK is 0 unit
Measurement of line segmentA line is the shortest distance between two points
Given the following parameters
GJ = 70.2
JH = 26.5
GK = 70.2
Determine the measure of JK
JK = JG + GK
Since JG = -GJ then;
JK = -GJ + GK
JK = -70.2 + 70.2
JK = 0
Hence the measure of the segment JK is 0 unit
Learn more on line segment here: https://brainly.com/question/2437195
#SPJ1
Do these three segments make a right triangle? 16m, 30m, and 34m
Answer:
it is a right triangle
Step-by-step explanation:
i have no explanation my sister told me with no explanation sorry
Answer:
Yes, the three segments 16,30,34 make a right triangle.
Step-by-step explanation:
The three segments are the following 16,30, and 34.
We will use the Pythagorean Theorem to find out if the three numbers can make a right triangle.
- \(a^2+b^2=c^2\)
When we have 3 numbers given, our largest number is the hypotenuse.
So 34 is our hypotenuse, so we substitute it as the c in our formula.
And our a^2 and b^2 are 16 and 30!
- \(16^2+30^2=34^2\\256+900=1156\\1156=1156\)
Our formula verifies that the three segments provided can make a right triangle.
4. What are the Z-scores for the following Confidence Interval levels? Remember, you MUST account for both tails of the curve, positive and negative, when identifying each. That means you will need to do a little math to obtain the correct z-value. 3 Points 68%= 85% = 99% =
In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.
Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.
We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)
Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!
To know more about distribution visit:
https://brainly.com/question/29664127
#SPJ11
Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram
Answer:
=The opposite angles of a parallelogram are equal
=(3x+4)
=(5x-2)
=-2x=-6
=x=6+2
=x=3=
1st angle=3x+4=13
3rd angle=5x-2=13
=sum of adjacent side of angle is 180°
=Let the adjacent (2nd angle ) be y=
y+13°=180°
=y=180°-13°
=y=167°=
2nd angle=4th angle
=2nd angle=167°
=4th angle=167°
Step-by-step explanation:
This might be confusing, but I hope it helps <3
the graph of a sinusoidal function has a maximum point at (0,5) and then has a minimum point at (2pi,-5). write the formula of the function, where x is entered in radians
The equation of the function is y = 10 * sin(x/2pi) + 5.
What is the sinusoidal function?
The period of a sinusoidal function is the time it takes for the sinusoidal function to complete one cycle of revolution.
The graph of a sinusoidal function can be represented by the equation:
y = A * sin(B(x - C)) + D
where A is the amplitude, B is the frequency, C is the horizontal shift, and D is the vertical shift.
From the information given, we know that the maximum point is at (0,5) and the minimum point is at (2pi,-5). We can use this information to find the values of A, B, C, and D.
The amplitude is the distance between the maximum and minimum points. In this case, it is 5 - (-5) = 10. So A = 10.
The period of the function is the distance between two consecutive maximum or minimum points. In this case, it is 2π.
So the frequency is 1/2π.
The horizontal shift is the amount by which the function is shifted along the x-axis. In this case, the maximum point is at x = 0, so the function is not shifted horizontally. So C = 0.
The vertical shift is the amount by which the function is shifted along the y-axis. In this case, the maximum point is at y = 5, so the function is shifted upward by 5. So D = 5.
So the equation of the function is:
y = 10 * sin(1/2pi (x - 0)) + 5
y = 10 * sin(x/2pi) + 5
where x is entered in radians.
Hence, the equation of the function is y = 10 * sin(x/2pi) + 5.
To learn more about the sinusoidal function visit,
https://brainly.com/question/30276869
#SPJ1
what is 428 x 27 need help
\(428 \times 27 = (400 + 28) \times 27 = \\ \)
\(400 \times 27 + 28 \times 27 = \)
\(10800 + (27 + 1)(27) = \)
\(10800 + 27 \times 27 + 27 \times 1 = \)
\(10800 + 729 + 27 = 11556\)
Help please due today
Answer:
68
Step-by-step explanation:
the square shape on the corner means it is a right angle, which is 90 degrees
--> that means the value which comes out when you subtract 22 from 90 is the angle left, which is "a" in this case.
90-22=68
pls help if you can asap!!!!
Answer: A
Step-by-step explanation: I would say A because the angle is greater than 90 degrees
Answer:
We have supplementary angles.
76 + 3x + 2 = 180
3x + 78 = 180
3x = 102
x = 34
helppppppppppppppppp
Answer:
1.901
Step-by-step explanation:
Check picture above
This trapezoid-based right prism has a volume of 30 cm
6 cm
5 cm
1 cm
What is the area of the base of the prism?
The area of the base of the prism is,
Area = 5.5 cm²
We have to given that,
This trapezoid-based right prism has a volume of 30 cm³.
We have;
Here we assume
a = 6
b = 5
c = 1
Now we know that
Area = (a + b) c / 2
Area = (6 + 5) 1 /2
Area = 11/2
Area = 5.5 cm²
Thus, The area of the base of the prism is,
Area = 5.5 cm²
Learn more about trapezoid visit:
https://brainly.com/question/1410008
#SPJ12
An interior designer wants to place a bed in a home, and she is especially concerned about the headboard, which is 5 feet wide and 5 feet tall. She’ll place the headboard on a wall that is 8 feet wide and 10 feet tall. What is the area of the space that will remain on the wall after she places the bed against the wall? show work
If you multiply 0.86 by 7.36, how many decimal places will be in the product?
Answer:
4
Step-by-step explanation:
There are 4 numbers to the right of decimals in question.
Pls mark Brainiest :)