Given:
A random survey of 30 students found that 17 played a musical instrument.
Total number of students = 450
To find:
Estimated number of students who do not play an instruments.
Solution:
A random survey of 30 students found that 17 played a musical instrument.
Let E be the event that student play an instrument.
So, probability that a student plays an instrument is
[tex]P(E)=\dfrac{17}{30}[/tex]
Probability that a student do not play an instrument is
[tex]P(E')=1-P(E)[/tex]
[tex]=1-\dfrac{17}{30}[/tex]
[tex]=\dfrac{13}{30}[/tex]
Now, number of students who do not play an instruments is
[tex]450\times P(E')=450\times \dfrac{13}{30}[/tex]
[tex]450\times P(E')=195[/tex]
Therefore, 195 students do not play an instrument.
Nicole earned a total of $6 by selling 2 cups of lemonade. After selling a total of 24 cups of lemonade, how much money will Nicole have made in all
She would have made $72
Each cup of lemonade is $3, so 3x24 is 72. Or you could just do 6x12, it's all the same.
Determine whether the following relation represents a function.
{(-9,8), (-2,1), (-7,5), (-4,3), (-8,2)}
Answer:
yes
Step-by-step explanation:
Each input value only goes to one output value so the relation is a function
The domain isn't repetitive so it's function.
Domain of Relation is {-9,-2,-7,-5,-4,-8}. There are no same domains or repetitive so It's a function.
Jennifer is renting a bicycle to ride along the beachfront. The rental charges include a fixed charge of $3 and an additional cost of $1.75 per hour. Which equation represents the total rental charges for the bicycle, T, if Jennifer rents it for n hours?
Answer:
y = 1.75n + 3
Step-by-step explanation:
Answer:
1.75+3=t
Step-by-step explanation:
There is a playground behind Jayden’s school where kids go outside for recess. The playground is 85 feet wide and 236 feet long. Jayden is curious if the playground has an area of more or less than 20,000 square feet. Does it? Show and explain how you know.
Answer:
Yes
Step-by-step explanation:
A = L x W
A = 236 x 85
A = 20,060
20,060 is more than 20,000 so yes
In this graph the y-intercept of the line is (Blank). The equation of the line is y=(Blank) x (Blank) .
Answer:
In the graph, the y-intercept is -2. The equation of the line is [tex] y = x - 2 [/tex]
Step-by-step explanation:
The equation of the line can be written in the slope-intercept form, y = mx + b.
First we need to find:
The slope = m
the y-intercept = b
Using two points on the line, (0, -2) and (2, 0) the slope can be calculated as follows:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-2)}{2 - 0} = \frac{2}{2} = 1 [/tex]
The y-intercept is simply the point at which the line intercepts the y-axis. It is the value of y when x = 0.
Therefore, the y-intercept, b, = -2.
Substitute m = 1 and b = -2 into [tex] y = mx + b [/tex].
Thus, the equation if the line would be:
[tex] y = (1)(x) + (-2) [/tex]
[tex] y = x - 2 [/tex]
10) Christopher misses 4% of the free throws
he attempts in a season. How many total
free throws did he attempt if he missed 9?
Answer:
He attempted 225 free throws.
Step-by-step explanation:
9/0.04= 225
The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that
has the same base and height as the cone?
Answer:
The volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.
Step-by-step explanation:
Given that,
The volume of a right circular cone is 300 cubic inches
We need to find the volume of a right cylinder that has the same base and height as the cone.
Volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
And volume of a cylinder is given by :
[tex]V'=\pi r'^2 h'[/tex]
If the base and height of cone and cylinder are same, r=r' and h=h'
[tex]\dfrac{V}{V'}=\dfrac{1/3\pi r^2 h}{\pi r'^2h'}\\\\=\dfrac{1/3\pi r^2 h}{\pi r^2h}\\\\\dfrac{V}{V'}=\dfrac{1}{3}\\\\V'=3V[/tex]
So, the volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.
help asap plspls !! :)
Answer:
-5 1/3
Step-by-step explanation:
This is how it should be shown
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the first equation is substituted into the second equation. x + 4y = −9 2x + 5y = −6 (6 points) Question 2 options: 1) 2x + 5(4y − 9) = −6 2) 2x + 5(−4y − 9) = −6 3) 2(4y − 9) + 5y = −6 4) 2(−4y − 9) + 5y = −6
Answer:
2(−4y − 9) + 5y = −6
Step-by-step explanation:
Just completed the Test
Answer: 1) Solve for x in the first equation: x = -6y+29
2) –6x + 29
3) Simplify and solve for the variable that remains: y = 4
4) Back substitute y = 4 and solve: x=5
4)Therefore, the solution is (x, y) = 5,4
5) x + 6y = 29 (5,4)
2x - 4y = -6 (5,4)
Step-by-step explanation: just did the assignment
What is the slope of the line that passes through (2,12) and (4,20)
A- -2
B-2
C- -4
D-4
Answer:
D. 4
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(20 - 12) / (4 - 2)
8 / 2
= 4
So, the slope is 4.
Find the Surface Area:
Of the picture below
6cm
3 cm
3 cm
2 cm
Answer:
72 cm^2 OR 72 sq cm.
Step-by-step explanation:
6 x 5 = 30
10 x 3 = 30
2 x 6 = 12
30 + 30 + 12 = 72
Sorry, i don't exactly know how to explain it without drawing it. But i assure you it is correct.
What is the value of 6a + 2b if a = 1 and b = 2?
Answer:
3a + 2b ; a=1, b =-2
3
(
1
)
+
2
(
−
2
)
(substitute the values of the variables)
From here on, it's just a matter of condensing down the numbers. Very straightforward, and easy points on tests and quizzes. You can do this in your head if you want, or you can just do it on your calculator (which is probably the best way to go as it's faster and more accurate).
3
+
(
−
4
)
(simplify)
3
−
4
=
−
1
So here, what we've proven is that in our given equation, if
a
=
1
and
b
=
−
2
, then it would yield us a product of
−
1
.
Once again, these types of evaluation problems are very straightforward, and are usually always easy points on tests and quizzes if you have an inkling of an idea of what the concept is about. Again, if you have a calculator with all the appropriate functions, that makes it even easier.
Try another:
6
a
2
−
b
+
8
with a = 1 and b = 3
6
(
1
)
2
−
(
3
)
+
8
6 - 3 + 8
= 11
Just as a sidenote here, make sure you're aware of the difference between
(
6
x
)
2
and
6
x
2
. The former refers to both the 6 and the
x
being squared, whereas the latter shows only the
x
being squared. Just be careful not to mix the two.
Try one more:
2
c
−
5
3
b
+
4
with b = 2 and c = 4
2
(
4
)
−
5
3
(
2
)
+
4
=
8
−
5
6
+
4
=
3
10
(or 0.3)
Speaking from experience, when you work with rational (fraction) polynomials on paper, it often tends to take up a bit of space and get messy. Therefore, I'd suggest you tried solving one equation at a time if you have the same issue.
Also, sometimes you may come across values that you don't want to type again in your calculator (like non-recurring decimals). For these, use the store function on your calculator to get maximum accuracy. With TI-84 and 83s, you can save values as letters (X, Y, etc.). Hence, you can just write out your equation using these, and hence significantly reduce the risk of typing the number wrong, while saving yourself some time.
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
6a + 2b
6(1)+2(2)
6+4
=10
What percent is equal to 19 out of 32?
Answer:
59.375%
Step-by-step explanation:
Convert fraction (ratio) 19 / 32 Answer: 59.375%
(Now, can u help me??)
Would you rather
buy...
Option A
8 pound jug of ice
cream for
$24.56
Option B
Two 3 pound 11 ounce
jugs of ice cream for
$23.60
or...
Answer:
option A sounds like a better deal if that's what your asking.
Cherry is a realtor. She made the graph below to show the amount of taxes paid on the houses she has sold. Which of the following describes the rate at which the taxes changed?
It increased by $3 for every $2 increase in appraised value.
It increased by $200,000 for every $3,000 increase in appraised value.
It increased by $3,000 for every $200,000 increase in appraised value.
It increased by $3,000 for every $2,000 increase in appraised value.
15. Construct Arguments Maggie said that
she could add 8 to both sides of any
equation and the expressions on both sides
of the equation would still be equal. Do you
agree? Explain.
Answer:
I do not agree because if there is an equation like 7+8 the answers would not be equal. They can only be equal if you add 8 to each side of the same number. For example, 7+7 with 8 added on both sides would be equal. But Maggie says that it can be equal for any equation. Therefore, Maggie is wrong.
Step-by-step explanation:
Natalie reads for 68 hour on 6 days each week.
How many hours does Natalie read each week?
Enter your answer by filling in the boxes.
Answer:
Multiply the time per day by the number of days per week.
6/8 x 6 = (6 x 6)/8 = 36/8 = 4 1/2 hours a week.
Step-by-step explanation:
Which is the graph of the line y − 2 = 3(x − 1)?
Answer:
d i have this ? to so thats how ik
Step-by-step explanation:
so the problem is y-2=3(x-1)
in this problem you have to rmb the forumla
y-y1=m(x-x1)
to find the points
so in the equation -1 would be x1 thats one point but you turn the -1 into a postive one dont know why thats just what my tutor said
so know you know one of the points (1,
to find the other you have to seaarch for y1 which from using the forumla you would know is -2 but you have to turn it in to a postive
This actually the answer for a deff problem but if you got the problem thats asking for which quarterpoints then this is it
so the points are (1 , 2)
The equation of a line in slope-intercept form is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
Given the equation y − 2 = 3(x − 1), express in the form y = mx + b
y - 2 = 3x - 3
y = 3x - 3 + 2
y = 3x - 1
Graph the equation y = 3x - 1 as shown:
Learn more here: https://brainly.com/question/24642959
use first principle tan(3x-4)
Answer: m=3
Step-by-step explanation:
Bob has a coin collection made up of pennies and nickels. If he has three times as many pennies as nickels and the total face value of the coins is $416, how many coins of each kind are in the collection?
Answer:
I think its 15600..
Step-by-step explanation:
please help on this question!!!!
if x is 12% of 180, then what is the value of 7x ?
Answer:
7uby-step explanation:
In which of the following situations would using the Pythagorean theorem be helpful?
a contractor wanting to determine how high to build a staircase
a contractor wanting to determine if a corner is square
an architect wanting to determine how high a roof should be
an architect wanting to determine a stair railing height
Answer:
A
Step-by-step explanation:
what is the best partial quotient to 296dividedby4
A linear function is written:
f(x) = 3/2x-4
What is the value of f(5)?
Answer:
[tex]f(5)=3.5[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{3}{2}x-4\\f(5)=\frac{3}{2}(5)-4\\f(5)=7.5-4\\f(5)=3.5[/tex]
Hope this helped!! Have an amazing day :D
The required value of the linear function at x = 5 is 7 / 2.
Given that, a linear function f(x) = 3/2x-4 we have to determine the value of the function at x = 5 that is f(5).
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Liner function,
f(x) = 3/2x-4
Put x = 5 in above function,
f(5) = 3 * 5 / 2 - 4
f(5) = 15 / 2 - 4
f(5) = 15 - 8 / 2
f(5) = 7 / 2
Thus, the required value of the linear function at x = 5 is 7 / 2.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
Find the slope of the roofof a home that rises 8 feet for every horizontal change of 24 feet
A.-3
B.-1/3
C.1/3
D.3
Answer:
(C).
Step-by-step explanation:
[tex]\frac{8}{24}[/tex] = [tex]\frac{1}{3}[/tex]
Answer:
1/3
Step-by-step explanation:
8/24
=1/3
Tell me if it's wrong
How many gallons of 40% antifreeze should be mixed with 10 gallons of 80% antifreeze to obtain a 65% antifreeze mixture?
Equation:
alcohol + alcohol = alcohol
0.40x + 0.85*10 = 0.65(x+10)
----
40x + 85*10 = 65x + 65*10
20*10 = 15x
-----
x = (2/3)20
---
x = 13 1/3 gallons (amt. of 40% solution needed)
what does x equal in the equation f(x)=17
9. The expression x(x-7)+4(x-7) is equivalent to each of the following except which choice?
(1) (x+4)(x-7)
(3) x2-28
(2) x2 – 3x – 28
(4) (x-7)(x+4)
Answer:
I the answer is number 3
x(x-7)+4(x-7)
x²-7x + 4x-28
=x²-3x-28
(x+4)(x-7)
x²-7x+4x-28
=x²-3x-28
(x-7)(x+4)
x²+4x-7x-28
=x²-3x-28
x2 – 3x – 28
the factored form is
=(x+4)(x-7)
1/4(x-2)+4=12 help please
Answer:
X = 34
Step-by-step explanation:
