Step-by-step explanation:
3+x-2/x-3<_4
cross multiply
3+x-2<_4(x-3)
3+x-2<_4x-12
1+x<_4x-12
collect like terms
1+12<_4x-x
13<_3x
divide both side by 3
13/3<_×
6.5<_x
PLEASE HELP!!! I GIVE 15 POINTS!
Flaws in a carpet tend to occur randomly and independently at a rate of one every 260 square feet. What is the probability that a carpet that is 7 feet by 14 feet contains no flaws?
Probability =
Enter your answer in terms of e.
Answer:
The probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.
Step-by-step explanation:
Given that flaws in a carpet tend to occur randomly and independently at a rate of one every 260 square feet, to determine what is the probability that a carpet that is 7 feet by 14 feet contains no flaws, the following calculation must be performed:
7 x 14 = 98
1/260 = 0.003
98 = 100
0.003 = X
0.003 x 100/98 = X
0.0039 = X
100 - 0.0039 = 99.996
Thus, the probability that a carpet that is 7 feet by 14 feet contains no flaws is 99.996%.
In the year 1986 reg Morris ate 30 hotdogs in 64 seconds how many seconds per hotdog is this
Answer:
Step-by-step explanation:
Time taken to eat 30 hot dogs = 64 seconds
Time taken to eat 1 hot hot dog = 64 ÷ 30
≈ 2 seconds
Compute z-score. Given ~ n(12,2.5),find z score when x =17
Answer:
The desired z-score is 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n(12,2.5)
This means that [tex]\mu = 12, \sigma = 2.5[/tex]
z score when x =17
This is Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 12}{2.5}[/tex]
[tex]Z = 2[/tex]
The desired z-score is 2.
The graph of a quadratic function with vertex (1,-3) is shown In the figure below . Find the domain and the range
Answer:
We can not see the graph, but that does not matter.
For a function y = f(x), the domain is the set of the possible values of x that we can input in the function, and the range is the set of the possible outputs.
First, for the domain, we start assuming that the domain is the set of all real numbers.
Then we look at our function, there is a point that causes a problem?
(a problem can be a zero in a denominator, for example)
Well, we have a quadratic equation, then we can not have any "x" in a denominator, then there are not problems, which means that the domain is the set of all real numbers.
For the range we first need to find the minimum (or maximum value) of f(x).
Here we know that the vertex is (1, - 3)
If the arms of the graph open upwards, then the minimum is at the vertex, which means that the minimum value of y is y = -3
And the arms go upwards infinitely, so there is no upper limit.
Then the range is the set of all numbers such that:
-3 ≤ y
Now, if the arms of the graph open downwards, then the maximum is at the vertex, which means that the maximum of our function is at y = -3
And with similar thinking than in the above case, we can find that the range is:
R: y ≤ -3.
Solve a" + 14a + 45 = 0 by factoring
Answer:
a = -3
Step-by-step explanation:
-3 + (14 * -3) + 45 = 0
-3 + -42 + 45 = 0
-3 + 3 = 0
So, the answer is -3
Hope this helps! :)
Cyndie invests some money at 2% compounded continuously. If after 6 years she has $1691.25,
what was her initial investment?
Answer:
1500
Step-by-step explanation:
Mr.James bought 19 crates of fruits.There were 64 fryits in each crate.If 320 were apples,414 were pears and the rest were mangoes,how many mangoes were there ?
Answer:
482 mangoes.
Step-by-step explanation:
multiply 64 x 19 which equals to 1216
subtract 320 from 1216 getting 896
Lastly, subtract 414 from 896 getting you answer of 482 mangoes.
Please tell me if you're still having trouble,I would be happy to help :) good luck!
1. What is the solution of n^2-49=0?
a. -7
b.7
c.≠7
d. no solution
2. What is the solution of x^2+64=0?
a.-5
b.8
c.≠8
d.no solution
3. What is the length of a square with an area of 144x^2
a.12
b.12x
c.≠4in
d.no solution
4. What is the value of b in the triangle?
a.-4in
b.4in
c.≠4in
d.no solution
5. What is the value of z so that -9 and 9 are both solutions of x^2+z=103
Answer:
1. a2. b3. b4. b5. 22Explanation:
1.
n²-49=0
n=√49
n=7
2.
x²+64=0
x=√64
x=8
3.
if A=144x²
l = √A
l = √(144x²)
l = 12x
4.
b = (24×2)/3b
b = 48/3b
b = 16/b
b² = 16
b = √16
b = 4 in (-4 is correct in algebra but there's no negative lengths in geometric shapes)
5.
x²+z = 103
x² = 103-z
x = √(103-z)
for x = -9 and 9 (103-z) must equal 81
z = 103 - 81 = 22
x = √(103-22)
x = √81
x = -9 , 9
What is the volume of the right rectangular prism, in cubic centimeters? A prism has a length of 4 centimeters, width of 9 centimeters, and a height of 10 centimeters
Answer:
360
Step-by-step explanation:
length times width of the base then multiply by the height of the prism.
(4)(9)10
What is the answer for (a^2+12c)÷7b-1
Answer:
Step-by-step explanation:
Integer roots:
a = 6 n + 1, b = 7, c = -3 n^2 - n, n element Z
a = 6 n + 5, b = 7, c = -3 n^2 - 5 n - 2, n element Z
Derivative:
d/da(1/7 (a^2 + 12 c) b - 1) = (2 a b)/7
Indefinite integral:
integral(-1 + 1/7 b (a^2 + 12 c)) da = (a^3 b)/21 + (12 a b c)/7 - a + constant
Related Queries:
A salesman is paid $15.00 per hour for 7 hours plus $9.00 for each sale, x, she makes. She wants to earn more than $150.
Which inequality matches the situation?
Answer:
what are the options???
what is m <1 + m <4?
Answer:
m < 3 ?
Step-by-step explanation:
Look at the table below.
x y
3 1.8
5 3
7 4.2
9 5.4
11 6.6
Which of the following represents the constant of proportionality for the relationship shown in the table above?
A. 1.2
B. 0.7
C. 2
D. 0.6
How many plants spaced every 6" are needed to surround a circular walkway with a 25' radius
Answer:= 2 × 3.14 (25)
= 157.
circumference of circle feet is 157 × 12 inches.
Step-by-step explanation:
consider the following formula to find the circumference of circle
C= 2^_r
here r is radius of circle
the radius of circular is 25 ft.
Therefore circumference is as follows
C = 2^_r
Two equivalent fractions for 1/6?
Answer:
[tex]\frac{2}{12}[/tex] or [tex]\frac{3}{18}[/tex]
Step-by-step explanation:
[tex]\frac{1}{6} = \frac{2}{12}=\frac{3}{18}[/tex]
There are two ways to go from Fujairah to Sharjah , and four ways to go from Sharjah to Dubai. How many different ways are there to go from Fujairah to Dubai, passing through Sharjah?
6
8
16
12
Answer:
8
Step-by-step explanation:
An amusement park reduced its admission price to $15.50 per day, but now charges $1.50 per ride. Justin has $26 to spend on admission and rides.
Answer:
Justin has enough for admission and 7 rides.
Step-by-step explanation:
26- 15.50 = 10.50
10.50 / 1.50 = 7 rides
Find the distance between the points (4.5,-1.5), (4.5,7.25)
The distance is ____.
Answer:
8.75
Step-by-step explanation:
Please help. We are stuck on this one question. Thank you
Answer:
D
Step-by-step explanation:
All the x and y values have a proportion of 5:1
Answer:
D
Step-by-step explanation:
Proportional relationship means there is a common difference between X and Y. That is only present in D, where x/5 = y.
X Y
5/5 = 1
10/5 = 2
15/5 = 3
20/5 = 4
25/5 = 5
Which of the following describes an acute isosceles triangle?
A. At least one angle is 90° and two sides are equal in length.
B. All angles are less than 90° and two sides are congruent.
C. No two sides are equal in length and all angles are greater than 90°.
D All three sides are different lengths and all angles are less than 90°.
Please answer fast it’s for a test
What is the inverse relation of f(x)=1/5x−4/5?
y=1/5x−4
y=−1/5x+5/4
y=−5x−4
y=5x+4
Answer:
[tex]y' = 5x + 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]
Required
The inverse relation
[tex]f(x) = \frac{1}{5}x - \frac{4}{5}[/tex]
Rewrite as:
[tex]y = \frac{1}{5}x - \frac{4}{5}[/tex]
Swap x and y
[tex]x = \frac{1}{5}y - \frac{4}{5}[/tex]
Multiply through by 5
[tex]5x = y - 4[/tex]
[tex]y = 5x +4[/tex]
Rewrite the new function as:
[tex]y' = 5x + 4[/tex]
PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!
A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 2.7 cm. Find the volume of the stone.
Answer:
648cm³
Step-by-step explanation:
The container is a cuboid thus:
volume of water is:
v=l×w×h
=10×24×7
=1680cm³
volume of water+stone=10×24×(7+2.7)
=10×24×9.7
=2328cm³
Thus volume of stone equals
2328-1680.
=648cm³
What is it i’m really really really confused about it lollll
Answer:
it would be D
So, when they say quantities that combine to make 0, that means you have to lose, and then gain the same amount back.
If you look at all the other choices, they either keep on gaining or they don't gain the same amount they lost
Think about it as breaking even. You aren't actually gaining anything if you are gaining back the exact same amount you lost.
Find the perimeter of the polygon with the vertices G(2, 4), H(2,−3), J(−2,−3), and K(−2, 4).
Answer:
22 units
Step-by-step explanation:
Graphed to solve.
Width:
The distance between points K and G, and points J and H is both 4 units. So for both distances between the set of points will be 8 units total.
Length:
The distance between points G and H, and points J and K is both 7 units. So for both distances between the sets of points will be 14 units total.
14 + 8 = 22
PLEASE HELP ME PLEASE!
100 POINTS!!!! CAN ANYONE PLEASE HELP ME OUT WITH THIS??!!
Find GH. What does GH equal?
Answer: GH = HJ = 4.6
Step-by-step explanation:
What is the y value in the system of equations shown below?
y = 5 - 1/2x
3x - 2y = 6
17. An equation is shown.
3x7=+7
What number makes the number sentence true?
A 3
B, 14
C. 21
D. 28
if 40% percent is a number of 35 what is 50% of that number
Answer:
what is 50% of 35?
Answer is 17.5.
Step-by-step explanation: