A bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is StartFraction 2 over 25 EndFraction. How many blue marbles are in the bag? 2 3 5 6
Answer:
The correct answer is 6.
Step-by-step explanation:
There are "six" blue marbles in the given bag, which is the correct answer would be an option (D).
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given that bag contains 15 marbles. The probability of randomly selecting a green marble is One-fifth.
The probability of randomly selecting a green marble and then randomly selecting a blue marble is 1/5 x P(blue), where P(blue) is the probability of selecting a blue marble.
As per the question, the probability of this event is 2/25, so we can set up the equation 1/5 x P(blue) = 2/25.
Solving for P(blue), we find that P(blue) = 2/5.
Since the probability of selecting a blue marble is 2/5, and there are 15 marbles in the bag, the number of blue marbles in the bag must be 15 x (2/5) = 6.
Therefore, the number of blue marbles in the bag must be 6.
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What is (2x + 3) to the 2 power
Answer:
4x² + 12x + 9
Step-by-step explanation:
Simplify. Expand:
(2x + 3)² = (2x + 3)(2x + 3)
Use the FOIL method to solve.
FOIL =
First
Outside
Inside
Last
Multiply:
(2x)(2x) = 4x²
(2x)(3) = 6x
(3)(2x) = 6x
(3)(3) = 9
Combine like terms:
4x² + 6x + 6x + 9 = 4x² + (6x + 6x) + 9 = 4x² + 12x + 9
4x² + 12x + 9 is your answer.
~
Answer:
4x^2+12x+9
Step-by-step explanation:
use FOIL (first, inner, outer, last)
(2x+3)(2x+3)
4x^2+6x+6x+9
then simplify
Chris achieved these scores in his exams. What was his best result?
a) 34 of 60 for history
b) 29 of 50 for science
c) 39 of 70 for Music
d) 44 of 80 for Math
Answer:
b) 29 of 50 for science
Step-by-step explanation:
We would be finding out his best results by calculating the percentage of his scores in the various exams he took.
a) 34 of 60 for history
34/ 60 × 100 = 56.67%
b) 29 of 50 for science
29/50 × 100 = 58%
c) 39 of 70 for Music
39/70 × 100 = 55.7%
d) 44 of 80 for Math
44/80 × 100 = 55%
Looking at the percentage of his scores in various subject in his exams, the subject with the highest percentage is the subject where he had the best result.
That subject with 58% = 29/50 for science.
Therefore, his best results is option b) 29 of 50 for science.
Mrs. Lindy is purchasing notebooks for her students. She spends $52 dollar sign, 52 on notebooks. Each notebook costs $3.25 dollar sign, 3, point, 25.
Answer:
16 notebooks
Step-by-step explanation:
I think you are asking how many notebooks she bought? just do 52/3.25=16
Answer:
The answer is 16 notebooks or in this case C
Step-by-step explanation:
What is the image point of (9,0) after a translation left 2 units and up 5 units?
Answer:
(7, 5)
Step-by-step explanation:
9-2=7 x-coordinate
0+5=5 y-coordinate
g) 0, 2, 4, 6, 12, ____, 28, ____, 60
Answer:
14 and 30
Step-by-step explanation:
my reasoning is the values are half of each other
Answer:
14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,50,52,54,56,58,60
Step-by-step explanation:
A pet store owner, Brooklyn, needs to determine how much food she needs to feed the animals. Brooklyn knows that she needs to order the same amount of bird food as hamster food. She needs four times as much dog food as bird food and needs half the amount of cat food as dog food. If Brooklyn orders 600 packages of animal food, how much dog food does she buy? Let b represent the number of packages of bird food Brooklyn purchased for the pet store.
Answer:
She ordered 85.7 packages as dog food
Step-by-step explanation:
Let b represent bird food, d represent dog food and c represent cat food.
The bird food is 4 times as much dog food. This can be represented as b = 4d
Also, the dog food is half the amount of cat food, it can be represented as d = 1/2c. Therefore, c = 2d
The total feed is 600.
Therefore dog feed + cat feed + bird feed = 600
d + 2d + 4d = 600
7d = 600
d = 600/7 = 85,7
She ordered 85.7 packages as dog food.
Question 1 help pls
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = [tex]\frac{0-2}{4-0}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]
note the line crosses the y- axis at (0, 2) ⇒ c = 2
y = - [tex]\frac{1}{2}[/tex] x + 2 ← equation of line
HELP PLEASE! URGENT!
Which polynomial represents the sum below?
2x^6 + 8x^2 - x + 1
+
3x^6 + 5x^5 + 1
Answer:
[tex] \boxed{B. \: 5 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 2} [/tex]
Step-by-step explanation:
[tex] = > (2 {x}^{6} + 8 {x}^{2} - x + 1) + (3 {x}^{6} + 5 {x}^{5} + 1) \\ \\ = > 2 {x}^{6} + 8 {x}^{2} - x + 1 + 3 {x}^{6} + 5 {x}^{5} + 1 \\ \\ = > 2 {x}^{6} + 3 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 1 + 1 \\ \\ = > 5 {x}^{6} + 5 {x}^{5} + 8 {x}^{2} - x + 2[/tex]
The polynomial representing the sum is [tex]5x^6 + 5x^5 + 8x^2 - x + 2[/tex] (Option B).
The polynomial that represents the sum of the two polynomials is:
[tex](2x^6 + 8x^2 - x + 1) + (3x^6 + 5x^5 + 1)[/tex]
Combining like terms, we can simplify the expression:
[tex]2x^6 + 3x^6 + 8x^2 + 5x^5 - x + 1 + 1[/tex]
Now, combining the like terms further:
[tex]5x^6 + 5x^5 + 8x^2 - x + 2[/tex]
Therefore, the polynomial that represents the sum is:
[tex]5x^6 + 5x^5 + 8x^2 - x + 2[/tex] (Option B).
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Nicole runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?
Answer:
4.8
Step-by-step explanation:
Answer:
4.8 miles
Step-by-step explanation:
Let's make a proportion using this setup:
miles/minutes=miles/minutes
We know that Nicole runs 6 miles in 55 minutes. We don't know how many miles she runs in 44 minutes, so we can say she runs x miles in 44 minutes.
6 miles/55 minutes=x miles/44 minutes
6/55=x/44
Now, we have to find x. To do this, we need to get x by itself. x is being divided by 44. To undo this, multiply both sides by 44, since multiplication is the opposite of division.
44*(6/55)=(x/44)*44
The 44s on the right cancel, so we are left with:
44*6/55=x
4.8=x
Nicole can run 4.8 miles in 44 minutes
Anna sees a thermometer each morning when she walks out of her house to get on the school bus. In the following table, she recorded the outdoor temperature each morning for five days.
Monday -2
Tuesday -3
Wednesday -8
Thursday -5
Friday 0
Based on Anna's data, select the correct statement.
Friday morning had the coldest temperature.
It becomes colder each morning of the week.
It was warmer on Wednesday morning than Tuesday morning.
It was colder on Wednesday morning than Monday morning.
Answer:
It was colder on Wednesday morning than Monday morning.
Step-by-step explanation:
(How I know)
-Friday did not have the coldest temperature because Wednesday did.
-it became warmer after Wednesday
-It was colder on Wednesday morning than on Tuesday morning
--8 degrees is colder than -2 degrees.
It was colder on Wednesday morning than Monday morning. Then the correct option is D.
What is the temperature?The degree of warmness and coldness is determined by the temperature.
Anna sees a thermometer each morning when she walks out of her house to get on the school bus.
In the following table, she recorded the outdoor temperature each morning for five days.
Days Temperature
Monday -2 °C
Tuesday -3 °C
Wednesday -8 °C
Thursday -5 °C
Friday 0 °C
If temperature is negative, then it means more coldness.
It was colder on Wednesday morning than Monday morning.
Then the correct option is D.
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what is the answer to simplify 5^-4/5^3
Answer:69
Step-by-step explanation:ejwndj wdedwedew
Answer:
1/ 5^7
Step-by-step explanation:
5^-4 / 5^3 is the same as (5^-4 / 1) * (1/5^3)
5^-4 turns into 1 / 5^4
So you have 1/ (5^4 * 5^3)
When multiplying two of the same numbers you add the exponents giving you 1/ (5^7)
what's the area of a right angle triangle by 3cm 4cm 5cm?
Answer:
12cm
Step-by-step explanation:
What happens when there is no outliner on a line plot
Answer:
the slope is smaller
Step-by-step explanation:
Write p(x) = 21 + 24x + 6x2 in vertex form. p(x) = (x + )2 –
Answer:
P(X) = (x-7.79)(x+11.79)
Am here
Step-by-step explanation:
The expression is solved using the general formular for quadratic equation.
Attachment shown below for easy articulation of this formula.
Answer:
6
2
3
Step-by-step explanation:
Please help!
Quincy has $6,000 in a savings account that earns 4% interest, compounded annually.
To the nearest cent, how much interest will he earn in 5 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Given Information:
Principle amount = P = $6,000
Interest rate = r = 4% = 0.04
Period in years = t = 5
Required Information:
How much interest will he earn in 5 years = ?
Answer:
Amount of interest = $1,299.92
Step-by-step explanation:
Using the formula given in the question,
[tex]B = P(1 + r )^{t}[/tex]
Where B is the final amount, P is the initial amount, r is the interest rate and t is the number of years
[tex]B = P(1 + r )^{t}\\\\B = 6,000(1 + 0.04)^{5}\\\\B = 7,299.92[/tex]
The amount of interest earned is
[tex]Amount \:of\: interest = B - P \\\\Amount \:of \:interest = 7,299.92 - 6,000\\\\Amount \:of \:interest = 1,299.92[/tex]
Therefore, Quincy has earned $1,299.92 in terms of interest by investing $6,000 in a savings account at the rate of 4% annual interest for a period of 5 years.
The scatter plot shows the relationship between the time t, in years after 1900, and the life expectancy L. in years, at birth for a certain
country.
Which of the following statements best describes the data on the scatter plot?
a) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) - 39.67t +0.37.
b) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) = -0.24t+74.33
c) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) -0.37t +39.67.
d) The data on the scatter plot does not suggest a linear association, so it cannot be modeled by a linear function.
Answer:
L (t) = 0.37t + 39.67
Step-by-step explanation:
I have this question
The scatter plot shows the relationship between the time t, in years after 1900, and the life expectancy L. in years, at birth for a certain country.
According to the given statements,
Statement(3):-
The data on the scatterplot suggests a linear association that could be modeled by the function L(t) -0.37t +39.67.
Therefore, Statement (3) is CORRECT.
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It takes a smaller hose 4 times as long to fill a certain swimming pool as it does a larger hose. It take both hoses working togetger 15 minutes to fill the pool. How long will it take the larger hose to fill the pool by itself?
Answer:
Larger hose will take 18 minutes and 45 seconds
Step-by-step explanation:
ONE smaller hose fills the pool in 5*15 = 75 minutes.One large hose can do this job in 75/4 minutes = 18 3/4 minutes = 18 minutes and 45 seconds
The larger hose will take 18 minutes and 45 seconds.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
One smaller hose fills the pool in 5 x 15 = 75 minutes.
One large hose can do this job,
Time = 75/4 minutes = 18 3/4 minutes
Time = 18 minutes and 45 seconds
Therefore, the larger hose will take 18 minutes and 45 seconds.
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what is the circumference of a circle with a diameter of 4.1 cm ?
use 3.14 for pi.
Answer:
12.874cm
Step-by-step explanation:
given
r=d/2=4.1cm/2=2.05cm
c=2πr
c=2×3.14×2.05cm
c=2×3.14×2.05cm
c=6.28×2.05cm
c=12.874cm
Rock stars Ewe and Eye were both born on Sunday, January 1. When Ewe turned 13 years old Eye could not have been _____ years old
A) 6
B) 7
C)8
D) 13
√1×2×3×4×5×6×7×8×9×10
A) 30 + √7
B) 30 × √7
C) 720 + √7
D) 720 × √7
Will mark as brainliest if correct
Answer:
62
Step-by-step explanation:
hope this helps
find a attached the question
Answer:
Using distance formula :
AB = [tex]\displaystyle \sqrt{(10-1)^2 + (3 - 7)^2}[/tex]
AB = [tex]\sqrt{81 + 16}[/tex]
AB = 9.85 units
What value in place of the question mark makes the polynomial below a
perfect square trinomial?
X2 + + 12x + ?
Answer:
36
Step-by-step explanation:
Given
x² + 12x
To make the polynomial a perfect square
add ( half the coefficient of the x- term)²
= x² + 12x + 6²
= x² + 12x + 36
= (x + 6)² ← a perfect square
What should be subtracted from 2a + 8b + 10 to get -3a + 7b +16 ?
ITS FROM ALGEBRA
CAN SOME BODY PLEASE HELP
Answer:
5a + 5b - 6b
Step-by-step explanation:
In an equation -
2a + 8b + 10 - x = -3a + 7b +16
-x = -3a + 7b +16 -2a - 8b - 10
-x = -5a -b + 6
x = -(-5a -b + 6)
x = 5a + 5b - 6b
Please help i need to know the equation of the line
Answer:
y = 1x - 5
Step-by-step explanation:
It looks like the form that they want is Slope Intercept Form. :(
y = mx + b
The two points on the line are (5, 0) and (0, -5)
The slope is 1
The y - intercept is -5
y = 1x - 5
Answer:
1 * x - 5
Step-by-step explanation:
Y = mx + b
the equation will be 1 * x - 5
Please mark as brainliest
please help, i need this done asap!
Answer:
[tex]}\frac{\sqrt{2} }{2}[/tex] or 0.707
Step-by-step explanation:
cos(315) is equivalent to cos ([tex]\frac{7\pi }{4}[/tex])
You can look at the unit circle to find the cos value for this. Keep in mind that cos is the x value of the corresponding coordinate.
Ruby has a basket of roses, lilies, orchids, and sunflowers. She picks a flower by chance and replaces it. She repeats this experiment 80 times and gets the results shown in the table.
rose- 16
lily- 24
orchid- 32
sunflower- 8
Which flower is there likely to be the fewest of in Ruby’s basket?
Answer:
Sunflower because it has the fewest number of them all
Sunflower is having the fewest number of 8 amongst all.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Ruby has a basket of roses, lilies, orchids, and sunflowers. She picks a flower by chance and replaces it. She repeats this experiment 80 times and gets the results shown in the table.
rose - 16
lily - 24
orchid - 32
sunflower - 8
From the above table we can see that the sunflower has the fewest number.
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plz help me i dont understand
Answer: "x" : 3, "star" : 2/3, "circle" : 2 1/3, "square" : 4 2/3
Step-by-step explanation:
The number line is divided into segments that are thirds of a whole number. The question is asking where the shapes fall on the number line. For shapes that do not fall on a whole number, they fall on a fractional portion of a whole number, hence why they are a mixed number.
list the intergers that satisfy both these inequalities 2x+9<0 and x>-12
Answer:
-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1
(would really, reallly appreciate the brainliest)
Step-by-step explanation:
2x+9 < 9
can be rewritten as
2x < 0
and therefore
x < 0
the other inequality states that x hat to be bigger then -12
so all integers that satisfy -12 < x < 0 are in the set we search, but be aware that -12 and 0 don't fall into this set, bc -12 for example isn't bigger than -12
Answer:
The integers that satisfy both inequalities are -5, -6, -7, -8, -9, -10 and -11.
Step-by-step explanation:
Firstly, you have to solve the inequality :
[tex]2x + 9 < 0 [/tex]
[tex]2x < - 9[/tex]
[tex]x < - \frac{9}{2} [/tex]
[tex]x < - 4.5[/tex]
Next, given that x is greater than -12 but smaller than -4.5 so the inequality for x is :
[tex] - 12 < x < - 4.5[/tex]
Integer is a positive or a negative number but 'cannot be written in the form of decimal'. So the integers that satisfy both inequalities are :
[tex] - 12 < x < - 4.5[/tex]
[tex]x = - 11, - 10, - 9, - 8, - 7, - 6, - 5[/tex]
2nd question help plzz
Answer:
the length of the arc = 4
Step-by-step explanation:
72/360=x/20
360x=1440
x=4
Therefore, the length of the arc = 4
I hope this helped and have a good rest of your day!
Answer:
The answer would be arc=4
Step-by-step explanation: