Answer:
The fraction of space taken by coral is 3/20 in the aquarium.
Step-by-step explanation:
The fraction of space taken by coral is C=3/8of2/5 in the aquarium.
•C=3/8.2/5=6/40=3/20
The fraction of space taken by coral is 3/20 in the aquarium.
I hope it's helpful!
. Suppose that 10 students of a class of 50 undergraduates are chosen for a behavioral experiment. The total class consists of 15 freshmen, 18 sophomores, 10 juniors, and 7 seniors. If all students are equally likely to be picked, determine the probability of the group contains exactly seven seniors and three juniors.
Answer:
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
7 seniors, from a set of 7.
3 juniors, from a set of 10. So
[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]
Total outcomes:
10 students froms a set of 50. so
[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
Mrs. Childress has 12 packs of pencils and 8 packs
of cap erasers. What is the FEWEST amount of each
she will need to buy in order to have an equal
number packs of both pencils and cap erasers?
Answer:
4 packs of erasers and 0 packs of pencils
Step-by-step explanation:
To minimize what she needs to buy to end up with the same number of packs of pencils and erasers, she needs to make the number of each to be equal. So the total number of packs should be 12. She all ready has 12 pencil packs and would only need to buy 4 eraser packs
2y - 2x = 8
y + 6x = 11
If (1,5) is the solution to the system of equations above, what is the value of 5y?
Answer:
2
Step-by-step explanation:
is this for a test because if so good luck
Answer:
its 20 Period
Step-by-step explanation:
what information is necessary to prove the triangles congruent by ASA? by AAS ? show your work please.
Answer:
See Explanation
Step-by-step explanation:
For ASA
[tex] \angle R \cong \angle E[/tex]
[tex] RQ \cong EF[/tex]
[tex] \angle Q \cong \angle F[/tex]
[tex] \triangle PRQ \cong \triangle GEF[/tex]
For AAS
[tex] \angle P \cong \angle G[/tex]
[tex] \angle R \cong \angle E[/tex]
[tex] RQ \cong EF[/tex]
[tex] \triangle PRQ \cong \triangle GEF[/tex]
it took mr phillips 1.2 hours to run 13.2 miles
Answer:
11 mph
Step-by-step explanation:
13.2 miles in 1.2 hours
13.2miles / 1.2 hrs
13.2/1.2=11
Answer: 11 mph
Let f(x) = -8x + 4 and g(x) = 3x2 + 5. Find f(7) + g(7) .
Answer:
-7
Step-by-step explanation:
substitute both x's for 7:
(-8(7)+4)+ (3(7)2+5)
= -54 + 47
= -7
Find the value of x in this triangle
Answer:
No you find it jkSum=1802x+2x+x=1805x=180x=36 Two bottom angle are similar 2(36)= 72 The last angle is 36What is the measure of Angle E?
Answer:
B)
Step-by-step explanation:
1) the sum of angles of triangle is 180, then
180=25+33+E;
2) the measure of the angle E is:
E=180-25-33=122°
3) correct answer is B) 122°
use the volume formula to find the volume of the prism.
Answer:
Step-by-step explanation:
Answer:12 1/2
Step-by-step explanation:
I'm learning how to write equations of lines and I'm not sure how to answer this problem. can someone please help me?
Answer:
sorry... i think i have never seen a problem like this..3
Answer:
y = -½x - 8
Step-by-step explanation:
You can see that (0,-8) and (2,-9) are points on the line. Use their coordinates to find the slope of the line.
Then use the slope and one of the points to write an equation in point-slope form.
Priya has a recipe for banana bread. She uses 10 cups of flour to make 2 loaves of banana bread. How much flour does Priya need to make 1 loaf of banana bread
Please i need help thank you!..
Evaluate the expression x + 8/27. Evaluate the expression for x=8/9
Answer: 32/27
Step-by-step explanation:
x = 8/9
x + 8 /27
[tex]\frac{8}{9} + \frac{8}{27} \\\\\frac{8}{9} * 3 = \frac{24}{27}\\\\\frac{24}{27} + \frac{8}{27}\\\\\frac{24 + 8}{27} \\\\\frac{32}{27}[/tex]
Answer:
Substitute the value of the variable into the equation and simplify.
Exact Form:
32 /27
Step-by-step explanation:
A bank account earns a fixed rate of interest compounded quarterly (every 3 month)
Answer:
Here’s what I got.
Hope it helps.
In a landscape plan, a rectangular flower bed is designed to be 4 meters longer than it is wide. If 60 square meters are needed for the plants in the bed, what should the dimensions of the rectangular bed be?
Write the equation and your solution.
Answer:
i dk and stop callin me slime
Step-by-step explanation:
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Equation is [tex]w^2+4w-60=0[/tex]
Given :
a rectangular flower bed is designed to be 4 meters longer than it is wide
60 square meters are needed for the plants in the bed.
Let 'w' be the width of the flower bed
and 'L' be the length of the flower bed
Length is 4 meters longer than its width
Length L= w+4
We know that the area of rectangle = length times width
[tex]Area = L \cdot W\\A=(w+4)(w)\\A=w^2+4w[/tex]
Given that the area is 60 square meters
Replace A by 60 and solve for 'w'
[tex]60=w^2+4w\\w^2+4w-60=0\\(w+10)(w-6)=0\\w+10=0, w=-10\\w-6=0, w=6[/tex]
Width cannot be negative, so width = 6 meters
length = width +4 = 6+4=10 meters
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Learn more: brainly.com/question/19579804
Need help finding the slope please answer need it done today
Answer:
1. 1/2
2. 2/5
3. -1
4. 1/2
Step-by-step explanation:
slope is equal to rise/run
you take two points and count how far up and sideways
if it is down make it negative
A bag of flour weighs 5 pounds. The flour is priced per ounce. How many ounces of flour are in the bag?
1 pound = 16 ounces
Answer:
80 Ounces!
80 ounces is equivalent to 5 pounds of flour.
3(x-2)+7=2(x+5)
What is the answer to this please
Answer:
x=9
Step-by-step explanation:
distribute: 3x-6+7=2x+10
add like terms: 3x+1=2x+10
add the x's and the integers: x=9
PLS HELP WILL GIVE BRAINLIEST AND 50 POINTS IF YOU GIVE FAKE ANSWER I WILL REPORT YOU!
The graph shows the relationship between the number of months different students practiced tennis and the number of matches they won:
The title of the graph is Tennis Matches. On the x-axis, the label is Number of Months of Practice. On the y-axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x-axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.
Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)
Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice Show your work and include the points used to calculate the slope. (5 points)
First we have to understand that a Y-intercept of a line is the point where a line’s graph intersects or crosses the Y-axis. In this case we will need to look at the graph in order to find the Y-intercept. Looking at the graph I would say that the Y-intercept is (0,3.5).
For part B you can use the following:
y = m x + b
y = (7/4) * 13 + 3
26 Is your answer
Goodluck
:):
PLEASE HELP I WILL MARK BRAINLIST IF YOU ANSWER CORRECTLY OR IF YOU JUST TRY BUT IF YOU ANSWER FOR THE POINTS IM REPORTING btw I CAN tell and help on both if you can
Answer:
the first answer is 104 square units
I forgot how to answer the surface area for the second prism sorry.
Step-by-step explanation:
Solve the system of linear equations by ellmination. 5x + 9y = -11 3x + 9y = -3 A. (-4,-1) -B. (-1, –4) C. (-4,1) D. (1,-4)
Answer:
Step-by-step explanation:
5x + 9y = -11
3x + 9y = -3
5x + 9y = -11
-3x - 9y = 3
2x = -8
x = -4
-12 + 9y = -3
9y = 9
y = 1
(-4, 1)
Answer is C
g(x)=w^2+7w-7 and f(x)=4w-8 and (f+g)(5)=
The value of (f + g)(5) is 65
FunctionFunction relates input to output . Therefore,
g(x) = w² + 7w - 7
f(x) = 4w - 8
Therefore,
(f + g) = w² + 7w - 7 + (4w - 8)
(f + g) = w² + 7w - 7 + 4w - 8
(f + g) = w² + 11w - 15
Finally,
(f + g)(5) = 5² + 11(5) - 15
(f + g)(5) = 25 + 55 - 15
(f + g)(5) = 80 - 15
(f + g)(5) = 65
learn more on functions here: https://brainly.com/question/20624584?referrer=searchResults
4. 2000 tickets were sold to a car show on Saturday. The cost of a ticket for an adult is $4 and the
cost for a child is $2. The total amount of money collected was $6400. Find the number of adult
tickets and child tickets sold.
please help fill in these blanks
Answer:
1) 2
2)30
3)10
-Sumin <3
Maribel wants to skate 12 miles on Monday. If she skates io mile Monday morning and į of that distance Monday afternoon, will she reach her goal? Explain.
Answer & Step-by-step explanation:
Yes, Maribel will reach her goal. If you convert each fraction with a denominator of 6 then add it up, it will be 1 7/6 which is equal to 2 1/6.
I hope this helps ;)
If you use 104 kiloliters of water per year, approximately how many liters of water do you use in a day?
2,000 liters
0.28 liters
285 liters
85 liters
I NEED HELP FAST Zane is determining whether the given value of the variable is a solution of the equation.
13 + h = 21 for h = 9
What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.
There are two ways to verify whether the value of ( h ) assumed to be equal to 9 satisfies the given equation:
13 + h = 21
13 - 13 + h = 21 - 13
0 + h = 8
h = 8
8 ≠ 9
13 + ( 9 ) = 21
22 = 21
22 ≠ 21
3) Conclude: The given value of ( h ) is not a solution of the given equation.
In the slope 3/7, the 7 indicates to
A. Fall 7 units
B. Rise 7 units
C. run 7 units
Answer:
the answer is A
Step-by-step explanation:
How is your mental health?
Answer:
bad
Step-by-step explanation:
cause of school so yea my mental health
Answer:
It is bad at some points but on certain days it is okay.
Step-by-step explanation:
With school mainly, but I tend to manage. And I know that this isn't a school question but do you think you could give Brainliest.
one ride on a city bus costs $1.50. Martina has $18 on her bus pass. Write and solve an equation to find how many rides she can take without loading more money on her bus pass.