Answer:
0.25
Step-by-step explanation:
Number of people whose age is less than 20 is given by
120 - 90 = 30
Probability P that a person selected at random from the group is less than 20 is gieven by
30 / 120 = 0.25
Person having age less than 20=120-90=30
|S|=120|E|=30[tex]\\ \tt\hookrightarrow P(E)=\dfrac{|E|}{|S|}[/tex]
[tex]\\ \tt\hookrightarrow P(E)=\dfrac{30}{120}[/tex]
[tex]\\ \tt\hookrightarrow P(E)=\dfrac{1}{4}[/tex]
Given that cosΘ = -square root 2/2 and that Θ lies in quadrant III, determine the value of sinΘ.
A) -square root 2/2
B) -square root 3/2
C) square root 2/2
D) square root 3/2
Answer:
C) (square root 2)/2
Step-by-step explanation:
In quadrant III, the sine of an angle is positive. The value will be ...
sin(Θ) = √(1 -cos(x)^2) = √(1 -(-√2/2)^2) = √(2/4)
sin(Θ) = (√2)/2
Need help please thank you
Answer:
It looks good to me. Unless there are more steps, I think you did pretty good
Step-by-step explanation:
Can someone help me with this?
Answer:
E. Graph E
Step-by-step explanation:
1: Find critical points of inequality.
One critical point is 0; we have to solve for the other.[tex]\sqrt{x} = 2[/tex]Step 1: Square both sides.
[tex]x = 2^2[/tex] [tex]x = 4[/tex]Step 2: Check if solution is correct.
[tex]\sqrt{4} = 2[/tex] [tex]2 = 2[/tex]2. Check the intervals between critical points.
x ≤ 0: doesn't work 0 ≤ x ≤ 4: does workx ≥ 4: doesn't work3. Now that we know the interval is 0 ≤ x ≤ 4, we look for the graph that matches this inequality.
Note: This inequality means that the values include 0, 4, and the values in between themGiven the information above, the correct answer is E because it includes 0, 4, and the numbers between.Have a lovely rest of your day/night, and good luck with your assignments! ♡
The rod on a pump rises and falls as the pump operates. The following function gives the height of the top of the rod above the
pumping unit in feet, L(t), as a function of time in seconds, t, after the pump is activated.
=
(2+1)
+ sine
What is the period of the given function?
o
3 seconds
o
1 second
2 seconds
$
4 seconds
Answer: 2 seconds
Step-by-step explanation:
i got it right on plato/edmentum
Malik upgrades his cell phone. He will pay a $35 activation fee and $40 per month for service write an expression for the cost of m months
Describe a pattern in the table.
tables: 1 2 3 4 5
chairs: 5 10 15 20 25
Step-by-step explanation:
The pattern in the table:
Tables: 1 2 3 4 5
Chairs: 5 10 15 20 25
For tables, it is adding 1 each time.
For chairs, it is adding 5 each time.
help me pls!!!! asap pls!!!
The graph is not a function
identify the slope -x+3y=10
Answer:
To find the slope use the slope-intercept form y=mx+b.
m = 1/3
Answer:
-x+3y=10
the slope is1/3
m=-1/3
For a ride on a rental scooter, Deon paid an $8 fee to start the scooter plus 6 cents per minute of the ride. The total bill for Deon's ride was $11.96. For how many minutes did Deon ride the scooter? I minutes
Answer:
66 minutes
Step-by-step explanation:
11.96 - 8 =3.96
Every 10 minutes Deon pays 60 cents because 6 times 10 = 60 and every 6 minutes Deon is paying 36 cents
10 min = 60 cents
20 min = $1.20
40 min = $2.40
50 min = $3.00
60 min = $3.60
6 min = 36 cents
Then you do 3.60 + 36 which equals $3.96
How to figure how the minutes is just 60 + 6 = 66 minutes
a rectangle tank,60cm long and 50cm wide,is 4/5 filled with water.when 24 liter of water are added, the water level rises to the brim of the tank. find the height of the tank.
Answer: 4cm
I’m not sure lol but i think I’m right
Step-by-step explanation:
24 x 5= 120
120l= 120000ml
50 x 60 x X= 120000
X= 4
Someone please help me with this question
Answer:
The actual answer is 2.26, but since that is not an option, I am going to say that you should choose the very last answer at the bottom, π r².
Step-by-step explanation:
Answer:
(c) 4 in
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
Filling in the given values, we have ...
16π in² = πr²
Dividing by π gives ...
16 in² = r²
Taking the square root, we find ...
r = √(16 in²) = 4 in
The radius of the circle is 4 inches.
A the zoo, the zookeeper make 4,000 pounds of ice. The zookeeper can make 400 pounds per day. How many days will it take to make 4,000 pounds of ice?
Answer:
10 days.
Step-by-step explanation:
to find what you multiply from 400 to get to 4000, you divide 4000 by 400, which is 10, plug that in, 400 pounds x 10 days = 4000 pounds.
Answer:
10
Step-by-step explanation:
1 day= 400 pounds
4,000 pounds= 4,000 / 400
= 10 days
What is 1 1/2 subtracted from the sum of 4 2/3 and 5 2/5
Answer:
7 9/10
Step-by-step explanation:
First, we need to add 4 2/3 and 5 2/5.
We should begin with converting the fractions into improper fractions.
4 2/3 + 5 2/5= 14/3 + 27/5
Now, we find the common denominator
= 70/15 + 71/15
We can add:
= 141/15
And simplify.
= 9 2/5
Finally, we subtract 1 1/2 from 9 2/5
Your answer is 7 9/10. Hope this helps!
Please Mark Brainliest
Answer:
The answer is 7 9/10
Step-by-step explanation:
it is 7 9/10 because you do 4 2/3 plus 5 2/5 minus 1 1/2 which equals 7 9/10
1. Suppose you have 62 toothpicks and a bunch of rubber bands.
1A) Make a simple math drawing and describe how to bundle the toothpicks to represent 62 in terms of base-ten units.
1B) Using your answer in part A, explain how to interpret the 6 in 62 in two different mathematically valid ways. Way 1:......Way 2........
Help pleas
Base-ten units are used to represent numbers in blocks
How to represent the bundle of toothpicksThe bundle is given as:
Bundle = 62
Rewrite as:
Bundle = 60 + 2
Express 60 as a product
Bundle = 6 * 10 + 2
See attachment for the drawing that represents the bundle
Ways to interpret the 6 in 62
The 6 in 62 can be interpreted in the following ways
Way 1: 6 tensWay 2: 60Read more about base-ten units at:
https://brainly.com/question/12386995
Working together, Melissa and Jing can mow a lawn in 5 hours. It would take Melissa 8 hours to do the job alone.
What is the value of r, the part of the lawn that Jing could complete in 1 hour?
A survey of pet owners shows that:
61 have a cat
70 have a dog
30 have both a cat and a dog
15 have neither a cat nor a dog
How many pet owners were surveyed?
How many have a dog but no cat?
Car Survey In a survey of 3,100 people who owned a certain type of car 2,170, said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Question content area bottom
Part 1
enter your response here
% of the people surveyed were satisfied with the car.
(Type a whole number.)
Answer:
70% of the people surveyed were satisfied with the car.
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 2 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 2 feet high? (Hint: The formula for the volume of a cone is
V =
1
3
r2h.)
Using implicit differentiation, it is found that the height of the pile is changing at a rate of 0.1415 feet per minute when the pile is 2 feet high.
The height of the pile is changing at a rate of 0.1415 feet per minute when the pile is 2 feet high.
can someone please help with my math work?!
The Martin’s want to buy a new TV. The regular price is $849. The store is offering a 20% discount and a sales tax of 6% is added after the discount. What is the total cost of the TV?
Answer:
The total cost of the tv is $719.95
Step-by-step explanation
Hi, to solve this problem we have to calculate the value of the discount percentage:
So:
$849 x 0.20 = $169.8
The next step is to subtract that result to the cost of the computer.
$849 -$ 169.8=$679.2
Then, we have to calculate the sale tax.
$679.2 x 0.06= $40.752
Finally, we add the sale tax value to the cost of the tv with the discount.
$679.2+ $40.752= $719.95
The total cost of the tv is $719.95
What sentence represents this equation?
413=11−x
413 is the same as 11 decreased by a number.
11 decreased by 413 is the same as a number.
413 is the same as a number decreased by 11.
A number is the same as the difference of 11 and 413.
Step-by-step explanation:
when 11 is decreased by a number, the result is 413
Write the following expression as a fraction in lowest terms:
\[2 + \cfrac{2}{2 + \cfrac{3}{3 + \cfrac{4}{4 + 5}}}.\]
Step-by-step explanation:
[tex]\[2 + \cfrac{2}{2 + \cfrac{3}{3 + \cfrac{4}{4 + 5}}}\]=[/tex]
[tex]\[2 + \cfrac{2}{2 + \cfrac{3}{3 + \cfrac{4}{9}}}\]=[/tex]
[tex]\[2 + \cfrac{2}{2 + \cfrac{3}{\cfrac{31}{9}}}\]=[/tex]
[tex]\[2 + \cfrac{2}{2 + \cfrac{27}{31} }}}\]=[/tex]
[tex]\[2 + \cfrac{2}{ \cfrac{62+27}{31} }}}\]=[/tex]
[tex]\[2 + \cfrac{2}{ \cfrac{89}{31} }}}\]=[/tex]
[tex]\[2 + \cfrac{62}{{89} }}}\]=[/tex]
[tex]\[2 \cfrac{62}{{89} }}}\][/tex]
Answer:
2 62/89
Step-by-step explanation:
reduce its not super hard lmk if u need help
A. 4/5+2/3
B. (4/5)(2/3)
C. 4/5-(-2/3)
Answer:
A. 22/15B. 8/15C. 22/15A. ---> 4/5 + 2/3 = (12+10)/15 = 22/15
B. ---> 4/5*2/3 = 8/15
C. ---> 4/5-(-2/3) = 4/5 + 2/3 = (12+10)/15 = 22/15
Step-by-step explanation:
Hope it helps!!Answer:
4/5+2/3
4×3/5×3 +2×5/3×5
12/15 + 10/15
(12 + 10)/15
21/15
7/5
A rectangular region Is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
Step-by-step explanation:
find the area of larger rectangle 14×6 =64ft
smaller 11×3=33ft larger-smaller
64-33=31ft
Evaluate the expression shown below and write your answer as a fraction in simplest form. Please
Answer:
Step-by-step explanation:
3/11 + 4/11 = 7/11
2/3 divided by 7/11
Multiply by reciprocal
2/3 * 11/7 = 22/21 or 1 1/21
Answer:
[tex]\frac{22}{21}[/tex]
Step-by-step explanation:
Firstly, we can see that this equation contains multiple different operators (in this case division and addition). So, we must keep in mind the order of operations. This can be remembered as PEMDAS or Paraenthasis, Exponents, Multiplication, Division, Addition, and Subtraction. When working on the problem using PEMDAS ALWAYS start from P and work your way down. PEMDAS is just used to determine the order in which a problem should be solved.
In our equation we have [tex]\frac{2}{3} / ( \frac{3}{11} +\frac{4}{11})[/tex]
So, by using PEMDAS we can see that we first need to deal with what is in the parathesis.
We can do this by adding the two fractions together, which will give us [tex]\frac{7}{11}[/tex]
We can add these together because the denominator or bottom numbers are the same.
Now we will have [tex]\frac{2}{3} / \frac{7}{11}[/tex]
Now, we can use a math trick called keep it, change it, flip it to solve for the answer.
The first fraction, 2/3, will remain the same (this is the keep it step). Then change the division to multiplication (this is the change it step). And finally, flip the numerator with the denominator of the second fraction. So 7/11 will now be 11/7.
Your equations should now be [tex]\frac{2}{3} *\frac{11}{7}[/tex]
Now solve! Multiply the numerators (top numbers) together and denominators (bottom numbers) together.
So, 2 x 11 = 22 and 3 x 7 = 21.
You should end up with [tex]\frac{22}{21}[/tex]
This number cannot be further decreased, so it is your final answer.
Hope this helps :)
Please help me!!? It’s onramps precalc and I have no Idea what I am doing
Answer:
see attached
Step-by-step explanation:
As I can't see the options you have to select from, I have attached my explanation for creating identities from cos^2(x) + sin^2(x) = 1.
Please comment underneath if you need more help.
Jackie starts walking at the beginning of a trail that is 1.6 miles long and walks to the end.
Then she turns around and walks back. She stops for a break every 0.5 mile.
Which of the following explains how she can figure out the total number of breaks she
takes during her walk?
A. -Divide 0.5 by 1.6.
B. -Divide 1.6 by 0.5.
C. -Multiply 1.6 by 2 and then divide the product by 0.5.
D. -Multiply 1.6 by 2 and then multiply the product by 0.5.
Answer:
C
Step-by-step explanation:
Multiply first to find how far she walked
Divide to find how many 0.5 are in the distance
answer this question for me please
Answer:
ok I am not sure (I didn't learn before)but let me try .
I think B and D are not the same b/c of there magnitude and direction and also A and C are not the same b/c of their magnitude (A:2,4 &C:-2,2)
Round to the nearest dollar. $4,527.11
i think it would be $4530.00
tan (3π/2) =
A) -1
B) 0
C) 1
D) undefined
Answer:
D) undefined
Step-by-step explanation:
The tangent function is undefined for odd multiples of pi/2.
__
Additional comment
The terminal point on the unit circle of the ray at angle 3π/2 is (0, -1). The tangent is the ratio of the y-coordinate to the x-coordinate: y/x = -1/0. It is undefined at that point.
