Answer:
4.93 million workers
Step-by-step explanation:
0.375*5.15+3 = 4.93125
The number of available workers is 4.93
The given expression:
[tex]p(h) = 0.375h + 3[/tex]
where;
h is the minimum hourly wage = $5.15
To find:
the number of workersThe number of available workers is calculated as follows:
[tex]p(5.15) = 0.375(5.15) + 3\\\\p(5.15) = 4.931\\\\p(5.15) \approx 4.93[/tex]
Thus, the number of available workers is 4.93
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If the pre-image (4,-3) is translated <-6,-8> the image will be located at: (?,?)
Answer:
(-2, - 11)
Step-by-step explanation:
Coordinate of preimage = (4, - 3)
Pre image is translated <-6,-8>
X - coordinate of preimage = 4
Translation, x coordinate + (-6)
Y - coordinate of preimage = - 3
Translation, x coordinate + (-8)
Image will be located at (4+(-6) ; - 3+(-8))
Hence, we have (-2, - 11)
Let x be a continuous random variable that follows a normal distribution with a mean of 185 and a standard deviation of 20. Find the value of x so that the area under the normal curve to the left of x is approximately 0.8869. Round your answer to two decimal places.
Answer:
x = 209.2
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, or the area to the left of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X, which is the area to the right of X.
Mean of 185 and a standard deviation of 20.
This means that [tex]\mu = 185, \sigma = 20[/tex]
Find the value of x so that the area under the normal curve to the left of x is approximately 0.8869.
This is X when Z has a p-value of 0.8869, so X when Z = 1.21.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.21 = \frac{X - 185}{20}[/tex]
[tex]X - 185 = 20*1.21[/tex]
[tex]X = 209.2[/tex]
So
x = 209.2
Sequences:
See the following attached image, where you can see sets of circles, which follow a certain pattern:
Number of circles in next row 6: 21 circles, and row 7: 28 circles
1) Determine the number of circles in the nth pile (general term)
2) What is the number of circles when n tends to infinity?
Answer:
The sequence is
1, 1 + 2, 1 + 2 + 3, 1 + 2 + 3 + 4, ...Each term is the sum of the consecutive numbers from 1 to that number.
The nth term is the sum of the first n numbers:
aₙ = 1 + 2 + 3 + ... + naₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)aₙ = n(n + 1)/21) The number of circles in the nth pile is n(n + 1)/2
2) When n tends to infinity the number of circles tends to infinity
Each week, the price of oranges at the farmer's market increases by 20%.
The price of oranges this week is $4.50.
What was the price last week?
Will give brainliest to correct answer.
The price of orange last week was $3.75
An equation is used to show the relationship between two or more numbers and variables.
The price of oranges increases by 20% each week.
The price of oranges this week is $4.50. Hence:
Price of orange last week (x) is given by:
4.5 = x + 20% of x
4.5 = x + 0.2x
1.2x = 4.5
x = 3.75
The price of orange last week was $3.75
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. A section of rope 5 inches long represents 20% of the length of the entire rope. How long is the rope?
Answer:
full length = 25 in.
Step-by-step explanation: .
20% is 1/5 of 100% so in order to find 100% of the length, multiply 5in (20%) by 5 to get to the 100% which will give you 25in.
Which expresion does NOT equal the length of one of these pieces in feet. Plz help me i really need it.
Answer: J
Step-by-step explanation:
J is the expression we would use to find "nine divided by five"
Whatever is inside the little box-looking thing (not sure how to describe it) is being divided by the number on the outside of the box-looking thing.
he wait time (after a scheduled arrival time) in minutes for a train to arrive is Uniformly distributed over the interval [0,15]. You observe the wait time for the next 95 trains to arrive. Assume wait times are independent. Part a) What is the approximate probability (to 2 decimal places) that the sum of the 95 wait times you observed is between 670 and 796
Answer:
81.74% probability that the sum of the 95 wait times you observed is between 670 and 796
Step-by-step explanation:
To solve this question, the uniform probability distribution and the normal probability distribution must be understood.
Uniform distribution:
A distribution is called uniform if each outcome has the same probability of happening.
The distribution has two bounds, a and b.
Its mean is given by:
[tex]M = \frac{b - a}{2}[/tex]
Its standard deviation is given by:
[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]
Normal 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.
n instances of the uniform distribution can be approximated to the normal with [tex]\mu = nM[/tex], [tex]\sigma = S\sqrt{n}[/tex]
Uniformly distributed over the interval [0,15].
This means that:
[tex]M = \frac{15 - 0}{2} = 7.5[/tex]
[tex]S = \sqrt{\frac{(15-0)^2}{12}} = 4.33[/tex]
95 trains
[tex]n = 95[/tex], so:
[tex]\mu = 95M = 95*7.5 = 712.5[/tex]
[tex]\sigma = S\sqrt{n} = 4.33\sqrt{95} = 42.2[/tex]
What is the approximate probability (to 2 decimal places) that the sum of the 95 wait times you observed is between 670 and 796?
This is the pvalue of Z when X = 796 subtracted by the pvalue of Z when X = 670. So
X = 796
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{796 - 712.5}{42.2}[/tex]
[tex]Z = 1.98[/tex]
[tex]Z = 1.98[/tex] has a pvalue of 0.9761
X = 670
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{670 - 712.5}{42.2}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.9761 - 0.1587 = 0.8174
81.74% probability that the sum of the 95 wait times you observed is between 670 and 796
Need help!!!!!!!!!!!!!!!!
Answer:
x=35
y=72.5
Step-by-step explanation:
Answer:
x=35 , y=72.5
Step-by-step explanation:
I'm not amazing at explaining but x is obviously 35 as its across from it and looks like it's the same angle, we'll be able to test this when we figure out y. Both of the y values are the same number so you just need to figure out
2y + 35 = 180
Minus 35 from both sides
2y = 145
Then we can divide 2 from both sides
y = 72.5
Then we test for x
2y + x = 180
Plug in y
145 + x = 180
Minus 145 from both sides
x= 35
There's your answer! I hope I cleared up any confusion
help me pleaseeeeeeeeeeeeeeeeeeeee
Answer:
3 X 1/2
Step-by-step explanation:
I started by eliminating C and B because of adding and subtraction in the problem.
Answer:
3 x 1/2
Step-by-step explanation:
there are 3 groups of 1/2
Can someone please help?
Answer:
The one all the way to the right
Step-by-step explanation:
30 ÷ X = 6
30 ÷ 5 = 6
George was riding his bike by some construction, and apparently got a nail in his tire. 5 days later he realized that the tire was losing air, and at that time it had a pressure of 52 pounds per square inch (PSI); he didn t have time to x it then, and then 8 days after getting the nail the pressure was down to 46 PSI.
(a) Write a linear equation giving the tire pressure (P) in pounds per square inch in terms of the number d of days since he got the nail in his tire.
Answer:
P(d) = 62 - 2d
Step-by-step explanation:
P = pound per square inch
d = days
(52 - 46) / 3 = 2
46 + 2 * 8 = 62
show that in any set of 9 positive integers, some of them share all of their primary factors that are less than or equal to 5
Answer:
The statement is false.
Step-by-step explanation:
We know that all integer numbers can be written as a product of prime numbers.
For example:
15 = 5*3
15 is a product of two prime numbers, 5 and 3.
28 = 2*2*7
28 is the product of two prime numbers, 2 two times, and 7.
Now, we want to prove that in any set of 9 positive integers, some of them share all of their primary factors that are less than or equal to 5.
Now, let's try to find a counterexample to see if this is false.
The first idea that comes to mind is, what with a set of 9 positive prime numbers?
(2, 3, 5, 7, 11, 13, 17, 19, 23)
So none of these numbers share their primary factors (where the "1" is not considered as a primary factor)
And another counterexample could be:
(2, 3, 5, 7, 11, 13, 17, 6, 10)
Here 6 = 2*3
10 = 2*5
So 6 and 10 share a primary factor (the two) but do not share all of their primary factors that are less than or equal to 5.
So we found two counterexamples of the statement, so we can conclude that the statement is false.
There are two openings at a programming company and 40 people apply. How many different ways can those two positions be filled?
Using the combination formula, it is found that these two positions can be filled in 780 ways.
The order in which the positions are filled is not important, for example, João and Elisa is the same outcome as Elisa and João, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, two people are taken from a set of 40, hence the number of ways is given by:
[tex]C_{40,2} = \frac{40!}{2!38!} = 780[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
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QUICK PLEASE HELP!!
I WILL MARK BRAINLIEST!!!
Find the missing side
Answer:
Step-by-step explanation:
c^2 = a^2 - b^2
13^2 - 5^2 = -12
Answer:
Step-by-step explanation:
Given that the measure of Angle CDB = 31 degrees find the indicated
measures for angle 1 and 2.
Answer:
angle 1=149°
angle 2=31°( because they are alternating angles)
(5p^3 - 3) +(2p^2-3p^3)=
Answer:
4p^3-3 jejeieooejejenjekeoeoeo
Find the perimeter of the figure
Answer:
no.6 is 22in. while in no.7 is 18cm
what is the area of the object above
Answer:
104 in²
Step-by-step explanation:
look at the picture above... by splitting the figure, we get two rectangles.
a1= 5×4 = 20in²
a2= 12×7= 84 in²
total area = a1+a2 = 20+84=104in²
The quotient of a number and 0.004 is 60. Find the number
Answer:
Step-by-step explanation:
x/.004 = 60
solve x
x = .24
Which of the following numbers must be added to complete the square in the
equation below?
x^2 +9x+15 = 11
A.-81/4
B.9/2
C.81/4
D. 81
Answer:
C
Step-by-step explanation:
Take the coefficient of the linear term and divide it by 2
9/2
Then square it 81/4
That should either be added to the 11 or subtracted from the 15.
The answer is C
A $550 T.V is discounted by 30%. It is then discounted another 10%
Answer:
346.50
Step-by-step explanation:
550 discounted by 30% is 385.00.
385.00 discounted by 10% is 346.50
log x + log (x + 9) = 1
Answer:
x = 1
Step-by-step explanation:
Mark as brainllest
What is the volume of this triangular prism
9514 1404 393
Answer:
153.6 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh . . . . . . where B is the area of the base, and h is the height
The area of the triangular base is given by the formula ...
A = 1/2bh . . . . where b and h are the base and height of the triangle
For a right triangle, the lengths of the legs can be used for the base and height.
The base area is ...
A = (1/2)(6 mm)(8 mm) = 24 mm²
Then the volume is ...
V = (24 mm²)(6.4 mm) = 153.6 mm³
What is the measure of n?
Given:
A figure of a right triangle whose altitude divides the opposite in two segments of 8 and 4 units.
The measure of the altitude is n.
To find:
The value of n.
Solution:
According to the altitude on hypotenuse theorem, the altitude on the hypotenuse of a right triangle is geometric mean of two segments of the hypotenuse.
Let the altitude h divides the hypotenuse in two parts with measure a and b, then
[tex]\dfrac{h}{a}=\dfrac{b}{a}[/tex]
[tex]h^2=ab[/tex]
[tex]h=\sqrt{ab}[/tex] [Because side length cannot be negative]
In the given figure, the altitude is n and it divides the hypotenuse in two segments of 8 units and 4 units.
Using altitude on hypotenuse theorem, we get
[tex]\dfrac{n}{8}=\dfrac{4}{n}[/tex]
[tex]n^2=4\times 8[/tex]
[tex]n^2=32[/tex]
[tex]n=\sqrt{32}[/tex]
Therefore, the measure of altitude is [tex]n=\sqrt{32}[/tex] units.
The width of a rectangle is 3 units less than the length. The area of the rectangle is 4 Units What is the length, in units, of the rectangle?
Answer: 4 units
Step-by-step explanation: IT cant be 2x2 or else it would be a square
so it would have to be that the width is 1 unit and the lenght is 4 units.
use pascal's triangle to expand the following binomial expression
1.(2k-1/3)⁶
9514 1404 393
Answer:
64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729
Step-by-step explanation:
The row of Pascal's triangle we need for a 6th power expansion is ...
1, 6, 15, 20, 15, 6, 1
These are the coefficients of the products (a^(n-k))(b^k) in the expansion of (a+b)^n as k ranges from 0 to n.
Your expansion is ...
1(2k)^6(-1/3)^0 +6(2k)^5(-1/3)^1 +15(2k)^4(-1/3)^2 +20(2k)^3(-1/3)^3 +...
15(2k)^2(-1/3)^4 +6(2k)^1(-1/3)^5 +1(2k)^0(-1/3)^6
= 64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729
Can u help me and if u don’t know don’t answer
Answer:
a. The scale factor from Drawing 1 to Drawing 2 is 40%
b. The length of the bottom side of Drawing 2 is 7.8 cm
Step-by-step explanation:
5.2 / 13 = 26 / 65 = 2 / 5 = 4 / 10 = 0.4 = 40%
19.5 / 2.5 = 39 / 5 = 78 / 10 = 7.8
I need help with 1-6
Answer:
1.25π
π/9
-17π/12
-7π/9
5π/12
-5π/3
Step-by-step explanation:
To convert degrees into radians mulitply it by π/180
225/180=1.25
1.25π
20/180=1/9
π/9
-255/180= -17/12
-17π/12
-140/180=-7/9
-7π/9
75/180=5/12
5π/12
-300/180= -5/3
-5π/3
Markus is finding that it takes too long to track down all of the groceries he needs to buy from a given store. GroceryGrabbr to the rescue! The app allows Markus to input his shopping list and search for his local grocery store in GroceryGrabbr's database. If his grocery store is there, Markus is all set to go! The database stores grocery items, cost, and item location information for each grocery store. When Markus walks into the store, a notification pops up on his smartphone letting him know that GroceryGrabbr is ready to get to work. Each of Markus' grocery items is displayed one at a time, along with the aisle number and shelf location. After Markus grabs his items off the shelf, he hits a button on the app to navigate to the next item. The list of items is arranged so that Markus follows the most efficient path through the grocery store. When Markus finishes shopping, the total amount of money his groceries cost is displayed, which allows him to double check the total cost with the cashier. GroceryGrabbr pays grocery stores a small amount of money for each user who successfully uses the app and checks out of the store with over one hundred dollars worth of groceries.
Which of the following data must be obtained from the user's smartphone in order for GroceryGrabbr to suggest the order for picking up groceries?
a) the grocery list the user input
b) the location of the grocery store
c) the user's photo album on their smartphone
d) the user's current location
Answer:
A. The grocery list the user input
Step-by-step explanation: