Answer:
Step-by-step explanation:
sorry i tried my best i think its like a 30
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
Which is smaller 2.5 or.5?
This figure shows the dimensions of the tent Anderson wants to
buy
What is the volume of the tent?
131
Enter your answer in the box
V=__
Answer:
131
Step-by-step explanation:TRUST ME IT IS RIGHT
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
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.
Find the quotient: 28 ÷ 4 2/3
Answer: = 6
Step-by-step explanation: Hope this help :D
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
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
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.
In the given polygon, AC= 5x - 24, AO= 3. Find x. NO LINKS!!!
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
5x - 24 = 3 * 2
5x - 24 = 6
5x = 30
x = 6
Answer:
Solution given:
AC= 5x - 24, AO= 3.
now
since diagonal bisect each other So,
AC=2 AO
5x-24=2(3)
5x=6+24
x=30/5
x=6
QUICK PLEASE HELP!!
I WILL MARK BRAINLIEST!!!
A solid has 4 faces and 4 vertices.
How many edges does it have?
Euler's Formula: F + V - E = 2
Enter
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
. 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.
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:
a river flows due south at 1.2 miles per hour. A swimmer attempting to cross the river heads due east swiming at 3 miles per hour relative to the water. In what direction should the swimmer head in order to arrive at a landing spot due east of his starting point
Answer:
The swimmer must move in the direction 338.2°
Step-by-step explanation:
Since the river flows due south at 1.2 miles per hour and the swimmer swims 3 miles per hour due east of the river, since their directions are perpendicular, the resultant speed is the hypotenuse of the triangle formed by the two perpendicular directions.
The direction of the resultant speed is thus θ = tan⁻¹( vertical component/horizontal component) where vertical component = 1.2 mph due south = -1.2 mph and horizontal component = 3 mph due east = + 3 mph
So, θ = tan⁻¹(-1.2 mph/+ 3mph)
θ = tan⁻¹(-1.2/3)
θ = tan⁻¹(-0.4)
θ = -21.8°
θ = -21.8° + 360° (since we are in the fourth quadrant- between east and south)
θ = 338.2°
So, the swimmer must move in the direction 338.2°.
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
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)
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
9 – 3 (2+6)÷6 -2 × 5? step by step please
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
Can someone please help?
Answer:
The one all the way to the right
Step-by-step explanation:
30 ÷ X = 6
30 ÷ 5 = 6
log x + log (x + 9) = 1
Answer:
x = 1
Step-by-step explanation:
Mark as brainllest
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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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
Find the perimeter of the figure
Answer:
no.6 is 22in. while in no.7 is 18cm
Evaluate the expression (2x + 5)2 -3x at the value x = -1
Answer:
2
Step-by-step explanation:
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
What is the solution of the system of equations?
y = 2x
Y = x+ 5
Ob. (2,7)
Oa. (0,5)
Oc. (1 2/3,6 2/3)
Od. (5, 10)
The solution of system of equations is (5, 10)
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are
y=2x ...(1)
y=x+5...(2)
Let us plug in equation 2 in equation 1
x+5=2x
Subtract x from both sides
x=5
Now plug in x value in equation 1
y=2×5
y=10
Hence, the solution of system of equations is (5, 10)
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