Answer:
A.) 4991/157216
B.) 2401/1336336
C.) 16399/314432
Step-by-step explanation:
Given the following :
Granny Smith = 23
Honey crisp = 14
Red delicious = 31
Probability = (number of required outcome / number of possible outcomes)
Number of possible outcomes = 23 + 14 + 31 = 68
With replacement :
A.) one of each :
P(granny Smith) × P(Honey crisp) × P(Red delicious)
P(granny Smith) = 23/68
P(Honey crisp) = 14/68 = 7/34
P(red delicious) = 31/68
(23/68 × 7/34 × 31/68) = 4991/157216
B) 4 honey crisp:
P(4 Honey crisp) = P(honey crisp) × P(honey crisp) × P(honey crisp) × P(honey crisp)
7/34 × 7/34 × 7/34 × 7/34 = 2401/1336336
C.) 2 granny Smith and 1 red delicious
P(granny Smith) × P(granny Smith) × P(red delicious)
23/68 × 23/68 × 31/68 = 16399/314432
Find the distance between A (4. - 1) and B (-3,0)
Answer:
hope this is correct
Q.2. A cricketer scores the following runs in eight innings :
58, 76,40, 35, 46, 45,0, 100
What will be their mean score ?
a. 400
b. 50
c. 200
Q.3. What will be the range of following data ?
32 , 41 , 28, 54, 35, 26,33 , 23, 38, 40
b. 23
c. 31
a. 25
Answer: Mean Score = 50 Range = 31
Step-by-step explanation:
58+76+40+35+46+45+0+100=400
400/8=50
Range = subtract smallest number from largest number
54 - 23 = 31
It took Travis and Tony 40 minutes to skate 5 miles. The return trip took them 30 minutes. What was their average speed for the trip?
Answer:
[tex]\frac{1}{7}\,\,miles/minute[/tex]
Step-by-step explanation:
Given: Travis and Tony took 40 minutes to skate 5 miles and the return trip took them 30 minutes
To find: average speed for the trip
Solution:
Total distance = 5 + 5 = 10 miles
Total time = 40 + 30 = 70 minutes
So,
Average speed for the trip = Total distance/Total time = [tex]\frac{10}{70}=\frac{1}{7}[/tex] miles/minute
At Kenji's Arcade, 1/2 of the games are racing games. Among the racing games, 4/5 are motorcycle-racing games. What fraction of the games at Kenji's Arcade are motorcycle-racing games? Write your answer as a fraction or as a whole or mixed number.
I believe the answer is 2/5
I n a polygon, there are 6 right angles and the remaining angles are all equal to 200 degrees each. Find the number of sides of the polygon.
(pls try to help me soon..)
Answer:
The polygon has a total of 15 sides
Step-by-step explanation:
Mathematically, the sum of the interior angles of a polygon can be calculated using the formula
(n-2) 180
Now there are 6 right angles. A right angle refers to 90 degrees. 6 right angles will be 6 * 90 = 540 degrees
Now the remaining number of angles in the polygon will be n-6 with each of this equal to 200 degrees each
The total amount of the remaining angles will be 200(n-6) = 200n-1200
Now adding all the interior angles will give the sum of 180(n-2)
180(n-2) = 200n -1200 + 540
180n -360 = 200n -660
200n -180n = 660-360
20n = 300
n = 300/20
n = 15
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
A. 2.2
Step-by-step explanation:
The average rate of change between 2 x values is the total change of the y values (output values) divided by the change in the x values.Slope is special situation of that.
point 1 (x₁,y₁) → ( 2,7.5)
point 2 (x₂,y₂) → ( 18,42.5)
slope = 42.5 -7.5/18-2 =35 / 16 = 2.1875 ≈ 2.2
Find the product of 85 and 25
Answer: The product of 85 and 25 is 2125 .
85x25 = 2125
Step-by-step explanation:
Hope it works out !Phil starts with G gallons of gas in his tank Phil used 3/4 of gas and then fills the tank with 5 gallons which expression represents the amount of gas now in his tsnk
Answer: 5 + 1/4G
Step-by-step explanation:
From the question, Phil starts with G gallons of gas in his tank and Phil used 3/4 of gas. This means:
G - 3/4 = 1/4G
He is left with 1/4G and and then fills the tank with 5 gallons. The expression that represents the amount of gas now in his tank will be:
= 1/4G + 5 or 5 + 1/4G
Question 1 (1 point)
In a lab, 370 cells are present at the beginning of an experiment. During the first 9 hours, the number of cells increased by 10% each hour.
Write an exponential model giving the number of cells y present thours after starting the experiment. Estimate the time when the number of
cells is 600.
o
a
c
y = 370(1.1)
; after about 5 hours
y = 370(0.1)", after about 10 hours
y = (370. 1.1) after about 1 hour
= 370(0.9)
; after about 0.5 hour
C
1
plssss I need this now
Answer:
Model: y = 370 * (1.1)^t
Time for 600 cells: after about 5 hours
Step-by-step explanation:
The function that models an exponencial growth is:
y = Po * (1 + r)^t
Where y is the final value, Po is the inicial value, r is the rate and t is the time.
In this case, we have that Po = 370 and r = 10% = 0.1, so our model is:
y = 370 * 1.1^t
To find the time when the number of cells will be 600, we just need to use y = 600 and then calculate for t:
600 = 370 * 1.1^t
1.1^t = 600/370
1.1^t = 1.6216
log(1.1^t) = log(1.6216)
t * log(1.1) = log(1.6216)
t * 0.0953 = 0.4834
t = 0.4834 / 0.0953 = 5.0724 hours
Find bc plz help can’t quite gets it
Answer: The answer is 1.5 cm
Step-by-step explanation:
According to the scale drawing and common sense the bottom side of the triangle is smaller than the left side so the only answer that is smaller than 2 cm is 1.5 cm.
solve simultaneous equations 5x+2y=13 2x+6y=26
Answer:
x = 1 and y = 4
Step-by-step explanation:
5x+2y+2x+6y = 39
7x+8y = 39
Trial and error method:
the answer that satisfies the equation are: x = 1 and y = 4
Hope this helps.
Good Luck
Answer:
(1, 4 )
Step-by-step explanation:
Given the 2 equations
5x + 2y = 13 → (1)
2x + 6y = 26 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the term in y
- 15x - 6y = - 39 → (3)
Add (2) and (3) term by term to eliminate y
- 13x = - 13 ( divide both sides by - 13 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
5(1) + 2y = 13
5 + 2y = 13 ( subtract 5 from both sides )
2y = 8 ( divide both sides by 2 )
y = 4
Solution is (1, 4 )
How do you solve with the elimination method??
Answer: 2=x
Step-by-step explanation: -x+3 = 2x + 1 , 2 = x
please please please help me with this question
which is the correct answer
Answer:
(a) (a² +3a -1)(a² -3a -1)
Step-by-step explanation:
The constant term of the product of the factors will be equal to the product of their constants. Since you want that product to be +1, the signs of the factor constants must be the same. That eliminates choices (c) and (d).
__
To tell which of choices (a) and (b) is correct, we can compute the squared term in their product. Let's do it in a generic way, with the constant (±1) being represented by "c".
We want the a² term in the product ...
(a² +3a +c)(a² -3a +c)
That term will be the result of multiplying both sets of first and last terms, and adding the product of the middle terms:
(a²·c) +(a²·c) -9a² = a²(2c-9)
So, we want the factor (2c-9) to be -11, which means c=-1, not +1.
The correct factorization of the given expression is ...
(a² +3a -1)(a² -3a -1) . . . . matches choice A
Simiplify (3a2+1)−(4+2a2). Write the answer in standard form
Answer:
-6^4+8x^2-4
Step-by-step explanation:
(3a^2+1)(-2a^2-4)
3a square x -2a square= -6^4
3a square x 1= 3x square -2x^2 x -4=8x^2
3x square + 8x^2= 11x^2
-4 x 1 =-4
Between what two integers does square root of 160 lie ?
Answer:
It would be between 12 and 13.
Step-by-step explanation:
What we must do is find the square root of 160 and then round to the smallest number and the largest number, in this way we will know what integer that root would be, then we have to:
(160) ^ (1/2) = 12.65
If we round to the smallest number it would be 12 and if we round to the largest number it would be 13.
Which means that it would be between 12 and 13.
Nahuel colecciona estampillas: la tercera parte de su colección es de países de América ,la cuarta parte ,de países de Europa y tiene 250 estampillas de Asia Y DE Africa ,¿ Cuantas estampillas tiene en toral ¿ ¿ cuántas son de América y cuantas ,de Europa ¿
Answer:
Total number of stamps is 600
Number of stamps collected from Europe is 150
Number of stamps collected from America is 200
Step-by-step explanation:
1/3 of stamps collected are from America
1/4 of stamps collected are from Europe
While 250 stamps are from Africa and Asia
Now what this means is that the fraction remaining when we subtract the sum of 1/3 and 1/4 is what is equal to 250
Firstly, let’s say the total stamp is x
Now the fraction of x equal to 250 would be ;
1-1/3-1/4 = 1-(1/3 + 1/4) = 1-(7/12) = 5/12
Now, 5/12 of x = 250
5/12 * x = 250
5x = 12 * 250
5x = 3,000
x = 3,000/5
x = 600 stamps
Thus, the total number of stamps collected is 600
The number collected from America is 1/3 * 600 = 200
The number collected from Europe is 1/4 * 600 = 150
how to find the independent and dependent variable from the equation y=5x-3
Dependent variable is the output value and the independent variable is the input value. So for y=5x-3, when you input x=3, the output is y=12.
y is the dependent variable.
x is the independent variable.
I'm not quite sure what this means can you explain it for me?
The mean is always the best measure of center (describes the data the best).
Answer:
Ask ur self what does measure means and what does center mean
What is true about 5–√?
Answer:
The last one (For Imagine Math)
5–√ is irrational. Its decimal equivalent does not terminate or repeat.
The number √5 is an irrational number
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = √5
Now , the number √5 is expressed as
Since the square root of 5 is irrational, there is no pattern to the decimal expansion and it never ends. It also indicates that it cannot be expressed as a fraction with an integer denominator and numerator.
Consequently, it is impossible to calculate the precise value of the square root of 5
Hence , the number √5 is an irrational number
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Match each description to the appropriate provider or service.
treat time-sensitive emergencies
Hospitals
Medical specialists
offer treatment in a specific field of medicine,
such as cardiology
care for basic needs after regular doctor
hours
Urgent care centers
x
X
General practice doctors and nurse
practitioners
provide counseling for unplanned
pregnancies
Crisis pregnancy centers
care for routine medical needs
Explanation:
Urgent care centers: care for basic needs after regular doctor hours
Hospitals: treat time-sensitive emergencies
Medical specialists: offer treatment in a specific field of medicine, such as cardiology
General practice doctors and nurse practitioners: care for routine medical needs
Crisis pregnancy centers: provide counseling for unplanned pregnancies
__
Discussion
Urgent care centers are often open all hours, but may not be as fully equipped (or staffed) to provide the sort of emergency medicine that a fully-equipped hospital can provide. While a general- or nurse-practitioner can provide routine care, they will consult with specialists when expertise is needed in a specific area.
Various kinds of pregnancy centers can provide counseling and perhaps some medical services for planned or unplanned pregnancies.
Answer:
all correct
Step-by-step explanation:
I am a three-digit number. My second digit is 4 times bigger than the third digit. My first digit is 3 less than my second digit. Who am I?
Answer:
285
Step-by-step explanation:
use algebra
third is x
second is 4x
first is 4x-3
x+4x+4x-3
9x-3 = x+x+1+x+2
9x-3=3x+3
12x=6, divide x=2
third is 2, sec is 8, first is 5
PLEASE HELP IVE BEEN WORKING ON THIS FOR 76 HOURS I WILL MARK BRAINIEST PLEASE HELP I AM SO DESPERATE:A student is doing a reading assignment. After 41 minutes of reading, she skims the pages ahead and estimates that she still has 53% of the reading to do. According to the girl's estimate, how long is the total reading assignment? Round to the nearest minute.
Answer:
87 mins
Step-by-step explanation:
The percentage of pages she read = 100-53= 47%
47%------------41 mins
53% ------------- x
x= (41×53)/47
x= 46.23 mins
nearest minute = 46 mins
Total reading assignments is 41+46= 87 mins
Answer:
87 minutes.
Step-by-step explanation:
to get the percentage of the read part, do 100% - 53% = 47%
41min = 47%
? = 100%
cross multiply;
41 × 100 ÷ 47 = 87.2340...
round off to get 87 min
By inspection, state whether the following system has one, none, or infinitely many solutions.
6x + 2y = 10
3x + y = 5
Answer:
infinite solutions
Step-by-step explanation:
Multiply the second equation by 2
6x + 2y = 10
3x + y = 5
6x+2y = 10
This is identical to the first equation
This means there are infinite solutions
Work out the size of angle x
Answer:
x = 121°
Step-by-step explanation:
The lower left interior angle of the triangle is adjacent to 115° and are supplementary, thus
interior angle = 180° - 115° = 65°
The angle round a point is 360°
The vertex interior angle = 360° - 304° = 56°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, thus
x = 65° + 56° = 121°
An article reports "attendance dropped 2% this year, to 5053." What was the attendance before the drop? (Round your answer to the nearest whole number.)
Answer:
5156
Step-by-step explanation:
Let x represent the initial attendance;
Since the initial attendance dropped by 2%
New attendance = x - 2% of x = x - 0.02x
New attendance = 0.98x
Given;
New attendance = 5053
Equating the values and solving for x;
0.98x = 5053
x = 5053/0.98
x = 5156.12
x = 5156
Initial attendance before the drop = 5156
simplify 6(2x+3y) + 3(x-y)
Answer:
15 (x+y)
Step-by-step explanation:
Multiply 6 with inside the parenthesis 6(2x+3y) ➡ 12x + 18y
Multiply 3 with inside the parenthesis 3(x-y) ➡ 3x - 3y
Now add them up
12x + 18y + 3x - 3y = 15x + 15y ➡ 15(x + y)
Answer:
6(2x+3y) + 3(x-y)
12x + 18y + 3x - 3y
15x + 15y
15(x + y)
Step-by-step explanation:
. If α and β are zeroes of x*2 – 4x + 1, then 1/α + 1/β – αβ is
3
5
-5
-3
Help me please!!! URGENT!!
option B
i pretty sure it is
Ed's Cafe uses 5/6 of a bag of coffee every day. How many days will 7 1/2 bags of coffee last?
[tex]7\frac{1}{2}[/tex] bags of coffee will last for 9 days.
What is unit rate?A unit rate means a rate for one of something.
Given that, Ed's Café uses 5/6 of a bag of coffee every day, we need to find the number of days to use [tex]7\frac{1}{2}[/tex] bags of coffee,
Since, in one day it will use = 5/6 bag of coffee
So, 1 bag of coffee will last for 6/5 of the day,
Therefore,
[tex]7\frac{1}{2}[/tex] bags of coffee = 6/5 × 15/2 = 9
Hence, [tex]7\frac{1}{2}[/tex] bags of coffee will last for 9 days.
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An online DVD rental company offers gift certificates that you can use to purchase rental plans.you have gift certificate for $30.The plan you select costs $5 per month.How many months can you purchase with the gift certificate ?
Answer:
You can get 6 months
Step-by-step explanation:
Take the gift certificate and divide by the cost per month
30/5 = 6
You can get 6 months
Answer:
6
Step-by-step explanation:
You can compute this by dividing 30 by 5, or in otherwords, by finding the amount of times you can add 5 to get 30.
So 5 + 5 + 5 + 5 + 5 + 5 = 30
and since there are 6 5s, your answer is 6
