Step-by-step explanation:
out of the 21 students, 8 do not play neither basketball nor baseball.
so, 13 students play at least one of these games.
10 play basketball, and 9 play baseball. that would be 19 together. but we have only 13 players.
that means 6 students (19 - 13) must play both games.
remember, a probability is always
desired cases / possible cases
so, when we are looking for the students, who play both games, we have 6 desired cases out of a total of 21.
and the probability to pick one of them is therefore
6/21 = 2/7 = 0.285714286...
the ratio 20:40:100 in its simplest form.
Answer:
1 : 2 : 5
Step-by-step explanation:
20 : 40 : 100 ( divide each part of the ratio by 20 , the HCF of 20, 40, 100 )
= 1 : 2 : 5
Three friends go shopping together and buy the same kind of rice.
Placido buys 2 pounds and pays $4.50. Sophia buys 3 lb and pays $6.75.
Roger buys 4 lb and pays $9.00.
Identify the graph and unit price that represent the cost of the rice.
Answer:
1 pound of rice is $2.25. Counting up the graph, - 2, 4, 6, 8, 10.
Step-by-step explanation:
You didn't add the picture so this is how I explained it.
(6h+2)+(-7h-8) simplify?
Answer:
-h - 6
Step-by-step explanation:
(6h + 2) + (-7h - 8) <== remove parenthesis
6h + 2 - 7h - 8 <== combine like terms
6h - 7h + 2 - 8
-h - 6
Hope this helps!
If a bus driver leaves her first stop by 7:00 a.m., her route will take less than 37 minutes. If she leaves after 7:00 a.m., she estimates that the same route will take no less than 42 minutes. Which inequality represents the time it takes to drive the route, r?
r < 37 or r ≥ 42
r < 37 or r > 42
37 < r ≥ 42
37 > r ≥ 42
Answer:
i believe the third one so this 37 < r ≥ 42 Step-by-step explanation:
Answer:
(a) r < 37 or r ≥ 42
Step-by-step explanation:
Translating the given relations to math symbols, we have ...
"less than 37 minutes" ⇒ r < 37
"no less than 42 minutes" ⇒ r ≥ 42
__
Written as a single statement, this is ...
r < 37 or r ≥ 42
_____
Additional comment
The solution regions are disjoint, so an "or" statement must be used. The form ...
37 > r ≥ 42
cannot be used, because it is false that 37 > 42.
The amount of a sample remaining after t days is given by the equation p(1) - al2where a is the initial amount of
the sample and h is the half-life, in days, of the substance. a sample contains 60% of its original amount of fermium-
257. the half-life of fermium-257 is about 100 days. about how old is the sample?
52 days
60 days
74 days
136 days
The amount of a sample remaining after t days is given by the equation p(1) - al2 is: 74 days.
Sample remaining after t daysUsing this formula
P(t)=A×(1/2)^t/h
Let plug in the formula
0.6x=x ×(1/2)^t/h
0.6=(1/2)^t/100
Hence:
Log0.6=Log(1/2)^t/100
Log 0.6=t/100× log0.5
Log 0.6/Log0.5×100=t
-0.2218487/-0.30102999×100=t
0.736×100=t
t=73.6
t=74 days (Approximately)
The amount of a sample remaining after t days is: 74 days.
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Answer:
74 DAYS
Step-by-step explanation:
I DID IT ON EDGE
Find the value of x
Answer:
x = 45
Step-by-step explanation:
Solve the entire figure first
First right triangle:
A = 36
B = 48
C = _
Using Pythagoras theorem to find the hypotenuse
a² + b² = c²
Plug in:
36² + 48² = 84²
1,296 + 2,304 = 3,600
Find the square root of √3600
⇒ √3600 = √( 2 × 2) × (2 × 2) × (3 × 3) × (5 × 5)
⇒ = 2 × 2 × 3 × 5
⇒ 60
The hypotenuse of the bottom right triangle is 60.
Now that we have the given value of the missing line separating both right triangles.
A = 60
C (hypotenuse) = 75
To find the missing side,
use this formula:
c² - a² = b² ---> hypotenuse minus the given side value
Plug in:
75² - 60² = 2,025
Find the square root:
⇒ √2025 = √ ( 3 × 3 ) × ( 3 × 3 ) × ( 5 × 5 )
⇒ 3 × 3 × 5
⇒ 45
Therefore, the missing x value on the second right triangle is 45.
A water tank is in the shape of a right rectangular prism. Its dimensions are 6 feet by 4 feet by 7 feet. What is the surface area of this tank?
A. 110
B. 125
C. 144
D. 188
Answer:
b
Step-by-step explanation:
X+4/x^2+3x-10 - x-1/x^2+2x-8 Simplify
An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] can be done in the following manner,
[tex]\dfrac{x+4}{x^2+3x-10} - \dfrac{x-1}{x^2+2x-8}\\\\\\= \dfrac{x+4}{(x-2)(x+5)} - \dfrac{x-1}{(x+4)(x-2)}\\\\\\= \dfrac{(x+4)(x+4)- (x-1)(x+5)}{(x+4)(x-2)(x+5)} \\\\\\= \dfrac{x^2+16+8x-x^2-5x+x+5}{x^3+7x^2+2x-40}\\\\\\=\dfrac{4x+21}{x^3+7x^2+2x-40}[/tex]
Hence, the simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).
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ANSWER ASAP, find the area. Use 3.14 if needed. Round to nearest hundredth
Find the area of each parallelogram below. 4 cm 5 cm 6 cm
Answer:
24 cm²
when finding area, multiply base by height
[tex]4 * 6 = 24[/tex]
Answer:
A = 24 cm^2
Step-by-step explanation:
The formula for the area of a parallelogram is
A = bh where b is the base and h is the height
A = 6 * 4
A = 24 cm^2
The box plot below represents some data set. What is the interquartile range (IQR) of
the data?
Answer:
155-50=105
Step-by-step explanation:
hopefully its right because you have to take the maximum and subtracted from the minimum
What is the slope of the line that
passes through these two points?
(-3, 1)
(3, 3)
slope
=
Remember. given two points.
(x1.yı)
(x2 - y2)
Slope
rise (y2-y1)
run(x2-x1)
Simplify your answer completely.
Answer:
1/3
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
= (3 -1)/ (3 - (-3))
= 2/ 6
= 1/3
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}}[/tex]
What is the slope of the line that
passes through these two points? (-3, 1) ,(3, 3)?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Use the slope formula:-
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\bigstar[/tex] Replace the letters with numbers:-
[tex]\sf{\dfrac{3-1}{3-(-3)}}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\sf{\dfrac{2}{3+3}}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\sf{\dfrac{2}{6}}[/tex]
[tex]\bigstar[/tex] Which results in
[tex]\boxed{\mathrm{Slope=\frac{1}{3}}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
A triangle has sides with lengths of 4 meters, 5 meters, and 7 meters. Is it a right triangle?
Graph the equation y=-1/8x^2+x-4
What is the value of c when f=86
Answer: Option A
Step-by-step explanation:
Replace F with 86 then solve
86 - 32 = 54
54 × 5/9 = 30
C =30
Answer:
Step-by-step explanation:
5/9(86-32)
5/9(54)
5(6)= 30
answer is A
Total piston displacement is given by the following formula: TT P.D.ED?LN 4 Where P.D. = piston displacement, in cubic inches D = diameter of bore of cylinder L = length of stroke, in inches N = number of cycles Find the diameter if P.D. = 400 cu in., L = 4.5 in., N = 6 in. to 2 Find the diameter: decimal places Do NOT put in units
Answer:
4.34 inches
Step-by-step explanation:
You want the diameter of a cylinder if the stroke length is 4.5 in, and 6 of them have a volume of 400 in³.
FormulaFilling the given values into the formula, we have ...
400 = π/4(d²)(4.5)(6)
d² = 400(4)/(4.5·6π) . . . . . . . . . divide by the coefficient of d²
d = 40/(3√(3π)) ≈ 4.34 . . . . . . . take the square root
The diameter is about 4.34 inches.
<95141404393>
Heidi likes to mix her own horse feed. She creates a mix that is 10%
molasses-covered oats using 18% molasses-covered oats. How many pounds
of each does she need to create 50 pounds of the mixture
The first step is to Prepare. Heidi wants to make a 30 pounds of molasses solution. She mixes and solution together. How much mixture does she make?
Divide. Give the quotient and remainder.
437/7
the total surface of a pyramid with dimension of 5×10 h=6
Answer:
[tex]154.05[/tex]
Goodluck
Which of the following is a business organization owned by a group of people for their mutual benefit?
-a professional organization
-a labor union
-a cooperative
-a limited liability partnership
The graph show the probability distribution of a random variable.
What is the value of P(0 ≤X ≤4)?
0.40
O 0.45
O 0.50
O 0.55
Answer:
O 0.50
Step-by-step explanation:
when x = 0, the probability is 0
when x = 1, the probability is 0.1
when x = 2, the probability is 0.2
when x = 3, the probability is 0.125
when x = 4, the probability is 0.05
What are the next two terms of the following sequence? -2, 4, -8, 16, ...
Answer:
-32 , 64
Step-by-step explanation:
Geometric sequenceThis is a geometric sequaence and each term is obtatained by multiplying the previous number with the common ratio 'r'
[tex]\sf \boxed{r = \dfrac{second \ term }{first \ term}}[/tex]
[tex]\sf r =\dfrac{4}{(-2)}[/tex]
r = -2
The next two terms ,
Fifth term = 16 *(-2) = -32
Sixth term = (-32) * (-2) = 64
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What are the next two terms of the following sequence?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
The next two terms are -32 and 64.
[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]
First of all, let's identify what kind of sequence this is.
The two main types of sequences are:
[tex]\textsf{Arithmetic.}[/tex] This is where we add/subtract the same number to get to the following term.[tex]\textsf{Geometric.}[/tex] This is where we multiply/divide by the same number to get to the next term.In the given sequence, we use multiplication, so we're dealing with a [tex]\textit{geometric sequence}[/tex].
In order to get to the next term, we multiply by -2.
So in order to find the next two terms of the sequence, we take the previous term and multiply it by -2 as follows:
16•(-2)=-32
We've found the 5th term of the geometic sequence.
Now let's find the 6th:
-32•(-2)=64 (the product of a negative and a negative results in a positive)
Summary of Final Answer:-The next two terms in the sequence are -32 and 64.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
13.) Find the area of the shaded region if the side length of the square is 8 in.
Help fast please!
Answer:
Area of shaded region = 6.88 square inchesStep-by-step explanation:
Area of shaded region
When we subtract the area of the circle from the area of square, we get the area of the 4 corners. When we divide that by 2, we get the area of 2 corners(shaded).
[tex]\sf \boxed{\text{Area of the shaded region =$\dfrac{Area \ of \ square - area \ of \ circle}{2}$}}[/tex]
Area of square = side *side
= 8 * 8
= 64 square inches
Circle:diameter of the circle = side of the square
d = 8 in
r = 8/2 = 4 in
[tex]\sf \text{Area of circle = \pi r^2}[/tex] Area of circle = πr²
= 3.14 * 4 * 4
= 50.24 square inches
[tex]\sf \text{Area of shade region = \dfrac{64 - 50.24 }{2}}[/tex]
[tex]\sf \text{Area of the shade region = $\dfrac{64 - 50.24}{2}$}[/tex]
[tex]\sf = \dfrac{13.76}{2}\\\\= 6.88 \ square inches[/tex]
Find the mean, variance, and standard deviation for the data set.
6, 16,7 ,3 ,10 ,8 ,12 ,5 ,18 ,5
15. What is 3% of 4.14 x 10?
A. 1.242
B. 1.380
C.
12,420
D. 13.800
E. 124.200
Answer:
the answer is a and I hope this helps you.
Hey there!
3% of 4.14 * 10
≈ 3% * 4.14 * 10
≈ 3/100 * 4.14 * 10
≈ 0.03 * 4.14 * 10
≈ 0.1242 * 10
≈ 1.242
Therefore, the answer should be:
Option A. 1.242
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Need some help here IMMEDIATELY!! :(
Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
Answer: C option
Step-by-step explanation:
Since the drawing is 5x more than real object then we have to divide the numbers
a= 35/5 = 7
b= 30/5 = 6
c= 15/3 = 3
Population of fishes in a pond is directly proportional to amount of fishes present in the bond. if initially there are 5000 fishes in the pond. (a) write it in the form of differential equation. (b)find its general solution. (c) What will be the population after 6 months
Using separation of variables for the differential equation, it is found that:
a) The differential equation is: [tex]\frac{dP}{dt} = kP[/tex]
b) The solution is: [tex]P(t) = 5000e^{kt}[/tex]
c) In 6 months, the population is: [tex]P(6) = 5000e^{6k}[/tex]
What is the differential equation?Population of fishes in a pond is directly proportional to amount of fishes present in the bond, hence the differential equation is:
[tex]\frac{dP}{dt} = kP[/tex]
In which k is the growth rate.
What is separation of variables?In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.
Hence, for the differential equation in this problem:
[tex]\frac{dP}{dt} = kP[/tex]
[tex]\frac{dP}{P} = k dt[/tex]
[tex]\int \frac{dP}{P} = \int k dt[/tex]
[tex]\ln{P} = kt + P(0)[/tex]
[tex]P(t) = P(0)e^{kt}[/tex]
In which P(0) = 5000 is the initial population, hence:
[tex]P(t) = 5000e^{kt}[/tex]
In 6 months, the population is:
[tex]P(6) = 5000e^{6k}[/tex]
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At a school canteen, a student can choose his snacks from 3 drinks (iced tea, orange juice and buko juice) and 4 foods (sandwich, fruit salad, banana cue and biscuit).
1. What is the experiment? _____
2. If your simple event is choosing one among the 3 drinks (iced tea, orange juice and buko juice), what will be the outcome and the sample space S?
Outcome_____
Sample space S = _____
3. If your compound event is to choose your snacks from the available variety of drinks and foods, what will be the outcomes and the sample space S?
Outcome_____
Sample space S = _____
4. Complete the tree diagram below showing the outcomes of the experiment.
(ITS ON THE PICTURE. TYSM!!!)
HELLO! AND GOOD EVENING! BLESS YOU AND THANKYOU IF YOU CAN HELO ME WITH THIS ONE. I WILL LITERALLY PRAY FOR YOUR GOOD FORTUNE. >< ♡
Answer:
check the attachment for your answer
Step-by-step explanation:
Yuki collects data on the average number of sunlight hours per month. She determines the regression model
y = -2.8sin(0.65x + 120.2) + 12.2 to represent the data, where x = 1 represents January.
Based on the regression model, what is the best estimate for the average number of sunlight hours she can expect
each day in June?
O9.4
9.9
O 11
O 15
The best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours
To answer the question, we need to know what a regression model is
What is a regression model?A regression model is an equation or model that shows if there is a relationship between two variables.
Now, given that Yuki uses the regression model y = -2.8sin(0.65x + 120.2) + 12.2 to calculate the average number of sunlight hours per month, where x = 1 represents January.
Since we need to determine the average number of sunlight hours she can expect each day in June. Since June is the sixth month, we substitute x = 6 into the equation.
Average number of sunlight hours in JuneSo, y = -2.8sin(0.65x + 120.2) + 12.2
y = -2.8sin(0.65(6) + 120.2) + 12.2
y = -2.8sin(3.9 + 120.2) + 12.2
y = -2.8sin(124.1) + 12.2
y = -2.8(0.8281) + 12.2
y = -2.32 + 12.2
y = 9.88
y ≅ 9.9
So, the best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours
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Jim earned $127.59 last month. He spent about
20% of the money. Which is the closest estimate
of the amount of money Jim spent?
A. $13
B. $20
C. $26
D. $30
Answer:
C. $26 is the closest estimate
Step-by-step explanation:
127.59 rounded is 128
128 x 0.2 = 25.6
25.6 is closest to 26 so C is the answer
so that is the closest estimate
this should be correct! :)
