A snack is 5 parts peanuts and 2 parts raisins. How many pounds of peanuts should be mixed with one-half pound raisins
There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track,
24 people use the gym and the track.
9 people use all three facilities,
Given that a randomly selected person uses at least two facilities, what is the probability they
use all the facilities?
Answer:
43/120 ≈ 0.3583
Step-by-step explanation:
Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...
21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities
The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...
43/120 ≈ 0.3583
_____
The given numbers add up as follows:
Gym only: 42
Pool only: 18
Track only: 14
Gym and Pool only: 12
Gym and Track only: 15
Pool and Track only: 7
Gym and Pool and Track: 9
No facilities: 3
Solve the inequality:
8+4x≥12
Select one:
x≤1
x≥5
x≥1
x≤5
Answer:
x >_ 1
Step-by-step explanation:
Solving an inequality is a lot like solving an equation. Just pretend the inequality symbol is an equal sign!
(also i wont be using the _ or equal to symbol because I'm too lazy, so you'll get >_ or <_ for those, sorry)
8 + 4x >_ 12
-8 -8
4x >_ 4
/4 /4
x >_ 1
Use the Distributive Property to solve the equation.
- 3(x + 2) = 18
If you solve you get 50 points so pls help and no links pls
Answer:
x = -8
Step-by-step explanation:
-3x -6 = 18
-3x = 24
x = -8
find the time required for an investment of $3000 to grow to $8000 at an interest rate of 7.5% per year, compounded quarterly ( round the answer to two decimal places)
Answer:
13.20 yearsStep-by-step explanation:
Investment P = $3000Final amount F = $8000Interest rate r = 7.5% = 0.075Compound number n = 4Time t = ?Formula:
F = P(1 + r/4)^(4t)Solve for t:
8000 = 3000(1 + 0.075/4)^(4t)8/3 = 1.01875^(4t)4t log 1.01875 = log (8/3)4t = 0.42596 / 0.008067t = 1/4(52.80)t = 13.20An ice cream truck sells ice cream between 2 pm and 10 pm each night in the summer. At the end of the night the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the 1st hour to the 4th hour?
A. $24
B. $24 per hour
C. 8 hours
D. $8 per hour
20 points pizzazz help
Answer:
the answer is B hope it helps
Answer:
answer is B
Step-by-step explanation:
Solve for x.
Your answer must be simplified.
17x>−17
Answer:
x>-1
Step-by-step explanation:
[tex] \frac{17}{17}x > - \frac{17}{17} \\x > - 1 [/tex]
The point (-2, 4) is plotted on the coordinate plane.
The point is reflected across the y-axis. What are the coordinates of the reflected point
A (-2,-4)
B (-2,4)
C (2,-4)
D (2,4)
Answer:
I would say B
Step-by-step explanation:
For the following right triangle, find the side length x.
Solve the equation square root of the quantity x plus 3 plus 4 equals 5 for the variable. Show each step of your solution process
Answer:
x=-2
Step-by-step explanation:
[tex]\sqrt{x+3}+4=5[/tex]
subtract 4 from each side
[tex]\sqrt{x+3} +4-4=5-4[/tex]
square both sides
[tex]\sqrt{x+3}^2=1^2[/tex]
so we have
[tex]x+3=1[/tex]
subtract 3 from each side
[tex]x+3-3=1-3[/tex]
so our answer is [tex]x=-2[/tex]
Write the expanded form in the condensed form.
9z+9z
Answer:
nine z plus nine z.
lol tell me.if.its wrong
A small liberal arts college in the Northeast has 350freshmen. One hundred five of the freshmen are female. Suppose sixty freshmen are randomly selected (without replacement).Step 2 of 2:Find the standard deviation of the number of females in the sample. Round your answer to two decimal places, if necessary.
Answer:
The standard deviation of the number of females in the sample is 3.21.
Step-by-step explanation:
For each freshmen, there are only two possible outcomes. Either it is a female, or it is not. Sixty freshmen are randomly selected (without replacement). This means that the hypergeometric distribution is used to solve this question.
Standard deviation of the hypergeometric distribution:
We have that:
N is the population size.
n is the sample size.
s is the number of successes in the sample.
The standard deviation is given by:
[tex]\sigma = \sqrt{n(\frac{s}{N})(1 - \frac{s}{N})(\frac{N - n}{N-1})}[/tex]
A small liberal arts college in the Northeast has 350freshmen.
This means that [tex]N = 350[/tex]
One hundred five of the freshmen are female.
This means that [tex]s = 105[/tex]
Suppose sixty freshmen are randomly selected
This means that [tex]n = 60[/tex]
Find the standard deviation of the number of females in the sample.
[tex]\sigma = \sqrt{60(\frac{105}{350})(1 - \frac{105}{350})(\frac{350 - 60}{350 -1})} = 3.21[/tex]
The standard deviation of the number of females in the sample is 3.21.
What is the distance between point A and point B on the coordinate plane?
HELP PLSS
Answer:
3
Step-by-step explanation:
If you count the units its three units away from each other.
Write two expressions that are equivalent to the expression below. (9 - c) + (9 - c) + (9 - c) + (9 - c)
Answer:
4(9 – c)
36 – 4c
Step-by-step explanation:
An example of two equivalent expressions includes the general expression and then the one that is factored.
Please help! (I also put what a median is)
Answer:
Step-by-step explanation:
1. 2
2. 3
3. 6
4. 2
5. 4
7 (4 1/3) using distributive property
Answer:
so 7*4 is 28 and 7*1/3 is 2 an 1/3 so it would be 30 and 1/3
Step-by-step explanation:
(7^3)^3
Simplify.
Rewrite the expression in the form 7^n
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{R\: E \: M \: E \: M \: B \: E \: R}}} }: [/tex]
If [tex]( {x}^{a} )^{b} [/tex] is an algebraic term then [tex] {(x}^{a} )^{b} = {x}^{a \times b} [/tex] i.e When an algebraic term in the index form is raised to another index , the base is raised to the product of two indices.
⟶ [tex] \large{ \tt{( {7}^{3} ) ^{3} = {7}^{3 \times 3} = {7}^{9}}} [/tex]
☥ [tex] \boxed{ \boxed{ \large \tt{Our \: Final \: Answer : \underline{ \tt{ {7}^{9}}}}}} [/tex]
Hope I helped ! ♡
⋆ Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer! ツ
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Enter an algebraic expression for the word expression.
The quotient of -5 and y
The expression is
9514 1404 393
Answer:
-5/y
Step-by-step explanation:
The wording "the quotient of A and B" is used to signify A/B.
Here, we want the quotient of -5 and y:
-5/y
need help with question 4
Answer:
Perimeter: 18u^2
Area: 18u^2
Step-by-step explanation:
perimeter is just adding all the sides together so 6+3+6+3
area is multiplying length by width so 6•3
both give us 18
hope this helps chu <3
If n = 5, which of the following is not equivalent to 24?
Answer:
there is no picture?
Step-by-step explanation:
In 5 days, a scientist wrote 3 pages of a research paper, At that rate, how many days will it take the scientist to write a 30- page research paper?
A 18 days C 25 days
B 30 days D 50 days
Answer:
50 days
Step-by-step explanation:
5/3 = 50/30
pls brainliest
Suppose that the Celsius temperature at the point (x, y) in the xy-plane is T(x, y) = x sin 2y and that distance in the xy-plane is measured in meters. A particle is moving clockwise around the circle of radius 1 m centered at the origin at the constant rate of 2 m/sec.How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point?
Missing information:
How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point
[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]
Answer:
[tex]Rate = 0.935042^\circ /cm[/tex]
Step-by-step explanation:
Given
[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]
[tex]T(x,y) =x\sin2y[/tex]
[tex]r = 1m[/tex]
[tex]v = 2m/s[/tex]
Express the given point P as a unit tangent vector:
[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]
[tex]u = \frac{\sqrt 3}{2}i - \frac{1}{2}j[/tex]
Next, find the gradient of P and T using: [tex]\triangle T = \nabla T * u[/tex]
Where
[tex]\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})} = (sin \sqrt 3)i + (cos \sqrt 3)j[/tex]
So: the gradient becomes:
[tex]\triangle T = \nabla T * u[/tex]
[tex]\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] * [\frac{\sqrt 3}{2}i - \frac{1}{2}j][/tex]
By vector multiplication, we have:
[tex]\triangle T = (sin \sqrt 3)* \frac{\sqrt 3}{2} - (cos \sqrt 3) \frac{1}{2}[/tex]
[tex]\triangle T = 0.9870 * 0.8660 - (-0.1606 * 0.5)[/tex]
[tex]\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5[/tex]
[tex]\triangle T = 0.935042[/tex]
Hence, the rate is:
[tex]Rate = \triangle T = 0.935042^\circ /cm[/tex]
Plz help me!! I’m having a bit of trouble
Answer:
x= 27
Step-by-step explanation:
If a class of 27 students had a mean of 72 on a test, interpret the mean of 72 in the sense of a fair share measure of the center of the test scores.
The fair share measure would mean that the score of 72 would be the score all 27 students got on the test if they all had the same score.
A fair share measure of the center of the test scores is 72 be the score all 27 students got on the test.
We have given that
a class of 27 students had a mean of 72 on a test,
What is the fair share?An equitable or reasonable portion or share of something
The fair share measure would mean that a score of
72 be the score all 27 students got on the test.
If they all had the same score.
Therefore 72 was the score all 27 students got on the test.
To learn more about the fair share visit:
https://brainly.com/question/25957457
Peter Company, a produce distributer, always tries to sell its oldest produce first.
Peter company
Answer:
what is this a maths problem
Can someone help me with this?
Find x. Round to the nearest tenth.
xº
13
15
Answer:
x= 49.1
Step-by-step explanation:
Please see the attached picture for the full solution.
Find the area of of a regular octagon with side length 20 cm.
A=2(1+[tex]\sqrt{2}[/tex])a^2=2·(1+[tex]\sqrt{2}[/tex])·20^2≈1931.37085cm²
Can anyone help me on this please
solve for 26 - 4s = 9s.
26-4s=9s
⇔26=9s+4s
⇔26=13s
⇔s=2
Answer:
s = 2
Step-by-step explanation:
26 - 4s = 9s
add 4s to 4s and 9s
that equals 13
26/13 = 13s/13
s = 2
PLZ HELP ME OUTTTTTTTTT
66 points
Answer:
The vertex is at [tex](0, -9)[/tex]
The axis of symmetry [tex]x = 0[/tex]
Step-by-step explanation:
Note: You can answer all the questions looking at the graph
We have the function [tex]f: \mathbb{R} \rightarrow\mathbb{R}[/tex](I am assuming this) such that [tex]f(x) = y = (x-3)(x+3)[/tex]
We note that
[tex](x-3)(x+3) = x^2-9[/tex] once we have a difference of squares
Therefore, we have a quadratic function.
So
[tex]y = x^2-9[/tex]
The vertex [tex](h, k)[/tex] is
[tex]h = \dfrac{-b}{2a} = \dfrac{-0}{2 \cdot 1} = 0[/tex]
[tex]k= h^2 - 9 = 0^2 - 9 =-9[/tex]
Therefore, the vertex is at [tex](0, -9)[/tex]
As we know the vertex, we conclude that the axis of symmetry [tex]x = 0[/tex]
The x-intercepts occur at [tex]y = 0[/tex]
[tex]y = (x-3)(x+3) \implies x = -3, x=3[/tex]
So, the left x-intercept is [tex](-3, 0)[/tex] and the right x-intercept is [tex](3, 0)[/tex]
As I stated in the beginning, the domain is the set of all real numbers. Precisely,
[tex]Dom(f) = \mathbb{R} = (-\infty, \infty)[/tex]
Once, we know the vertex, we also conclude that the Range is
[tex]Ran(f)= [-9,\infty)[/tex]
Greater than or equal to -9