Answer:
[tex]\frac{4}{7}[/tex]
Step-by-step explanation:
A combination refers to the selection of objects such that order does not matter. A permutation refers to the arrangement of objects such that order do matter.
Number of bananas = 2
Number of apples = 5
One banana and two apples are chosen.
So,
probability that one banana and two apples are chosen = [tex]\frac{C(2,1)\,C(5,2)}{C(7,3)}[/tex]
[tex]C(2,1)=\frac{2!}{1!(2-1)!}=2[/tex]
[tex]C(5,2)=\frac{5!}{2!(5-2)!}=\frac{5!}{2!31} =10[/tex]
[tex]C(7,3)=\frac{7!}{3!(7-3)!} =\frac{7!}{3!4!}=35[/tex]
So,
Probability that one banana and two apples are chosen = [tex]\frac{2(10)}{35}=\frac{4}{7}[/tex]
Answer:
Or 57.14%
Step-by-step explanation:
Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2)
A) f(x) = 3x + 1
B) f(x) = 3x - 1
C) f(x) = 8x + 10
D) f(x) = 8x - 10
is 13.48 irrational or rational?
Answer:
It is irrational
Step-by-step explanation:
Rational numbers do not have decimals.
Convert 2∘F to ∘C round to one decimal place
Answer:
-16.7
Step-by-step explanation:
(2°F − 32) × 5/9 = -16.7°C
Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)
Answer:
y=-8
Step-by-step explanation:
First find the slope which is rise over run which equals (y2-y1)/(x2-x1)
(-8-(-8))/(9-(-2))
(-8+8)/(9+2)
0/11
slope = 0
Now you have the slope of 0. You can plug in one of the given point (x,y) to find b
-8=0(9)+b
-8=b
Combine everything
y=0x-8
y=-8
1. Let f(x) be defined by the linear function graphed below and
g(x) = x2 - 9x + 14.
I
A. Describe the right end behavior of g(x).
Answer:
Step-by-step explanation:
A). g(x) = x² - 9x + 14
Since coefficient of highest degree term (x²) is positive, parabola will open upwards.
For any parabola opening upwards,
Right end behavior,
y → ∞ as x → ∞
B). Let the equation of the linear function is,
f(x) = mx + b
Where m = slope of the function
b = y-intercept
From the graph attached,
Slope 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-(2+1)}{(0+1)}[/tex]
m = -3
b = -1
Therefore, function 'f' will be,
f(x) = (-3)x - 1
f(x) = -3x - 1
g(x) = x² - 9x + 14
= x² - 7x - 2x + 14
= x(x - 7) - 2(x - 7)
= (x - 2)(x - 7)
If h(x) = f(x)g(x)
h(x) = -(3x + 1)(x -2)(x - 7)
For h(x) ≥ 0
-(3x + 1)(x - 2)(x - 7) ≥ 0
[tex]x\leq -\frac{1}{3}[/tex] Or 2 ≤ x ≤ 7
Therefore, for 2 ≤ x ≤ 7, h(x) ≥ 0
C). If k(x) = [tex]\frac{h(x)}{(x-2)}[/tex]
k(x) = [tex]\frac{-(3x+1)(x-2)(x-7)}{(x-2)}[/tex]
k(x) = -(3x + 1)(x - 7)
For k(x) = -56
-(3x + 1)(x - 7) = -56
3x² -20x - 7 = 56
3x² - 20x - 63 = 0
3x² - 27x + 7x - 63 = 0
3x(x - 9) + 7(x - 9) = 0
(3x + 7)(x - 9) = 0
[tex]x=-\frac{7}{3},9[/tex]
This is due soon today can somebody help?
35 points (if they're all right) comment if you don't know it
Answer:
1) P(1,0)Q(-2,3)R(-3,3)S(3,2)
2) (3,4)
3) (0,-4)
4) (1,2)
Step-by-step explanation:
Samantha is training for a race. The distances of her training runs form an arithmetic sequence. She runs 1 mi the first day and 2 mi the seventh day.
a. What is the explicit definition for this sequence?
b. How far does she run on day 19?
6x+2=3(3x+14)
set notation
Answer:
x= -40/3
Step-by-step explanation:
g Statesville population in 2010 was about 24,700, and was growing by about 1% each year. If this continues, what will Statesville population be in 2018? [Round to the nearest person.]
Answer:
26,676population
Step-by-step explanation:
Population in 2010 = 24,700
If it grows yearly by 1%, increment per year is expressed as:
1% of 24,700
= 1/100×24700
= 247 populations
After 8years, population increase will be 247×8 = 1976 population
Statesville population in 2018 will be expressed as;
Population in 2010+increase after 8years
= 24700+1976
= 26,676 population
Hence statesville population in 2018 will be 26,676population
Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9
Answer:
The blue liquid is toxic
Step-by-step explanation:
From the calculations I have done and attached to this problem
Null hypothesis:
H0 : p1 <= p2
Alternate hypothesis:
H1 : p1 > p2
^p1 = 0.925
^p2 = 0.2250
^P = (x1 + x2)/(n1+n2)
= 0.575
After calculating, I got test statistics = 6.33 ( check attachment)
P(z > 6.33) = 0.0000
In conclusion, our pvalue has been found to be less than the level of significance 0.05 so we reject null hypothesis and accept that we have enough sample evidence that the blue liquid is more toxic in comparison to white one.
Please check attachment for calculated test statistics.
Which equation represents a line which is parallel
to the line y
=
-2 +62
Over the past week, 40% of the phone calls to Alicia's cell phone were from her son. Let's say you know that her son called her 12 times. Find out how many total calls she received from her son.
Answer:
40%
Step-by-step explanation: hope this helps
Answer:
She received 12 calls from her son and 30 calls in total.
Step-by-step explanation:
40% of 30 is 12.
Find three consecutive even integers whose sum is -42
Answer:
Three consecutive even integers are x, x+2, x+4.
Step-by-step explanation:
Their sum is x+x+2+x+4 = 3x+6.
Hope this helped! <3
Simplify each of the following powers of i.
i^99
Answer:
i= sqrt (-1)
If the power is
- even then the value could be -1 or 1
-odd then the value could be -i or i
99 is odd so now is
-i if (99+1)/2 is even or is
i is (99+1)/2 is odd
Now check (99+1)/2= 100/2= 50,
50 is even so
i^99 = -i
Step-by-step explanation:
Help me plsss! I'll give u 10 points
Answer:
1.02n
Step-by-step explanation:
We just have to simply the expression already given which will give you the equivalent expression.
n + 0.02n since these are like terms because of the variable "n", we can just add them together
n+0.02n
1.02n
PLZZ ANSWER THE QUESTION
Answer:
c
Step-by-step explanation:
y = mx + b
”m” is the slope, so the slope is -2
”b” is the y - intercept, so the y - intercept is (0 , 1)
Pls help me I will pick brainliest
Answer:
What do you need help with?
Step-by-step explanation:
Answer:
??
Step-by-step explanation:
.
How to estimate the sum of using different methods. 187,176,154,207
Answer:
tuff
guess you will fail
Step-by-step explanation:
Anyone willing to answer this?
Answer:
1. perpendicular; the opposite?
2. Parallel; the slopes are the same?
Step-by-step explanation:
Just use Math
way
find the value of x.
The answer is 13, but I need to show my work
Thank you guys
Answer:
Know the properties of vertical angles.
Step-by-step explanation:
Vertical angles are equal to each other, so we must make them equal to each other in an equation:
6x+2=80
6x=78
x=13
A scale drawing of a building needs to be made using the scale 1 in = 230 ft. How tall will the building in the scale drawing be if the building is 1380 ft tall?
Grace is measured for her annual check up. She is 28 1/5 inches tall. Last year she was 25 3/5 inches tall. How much did she grow in one year?
Answer:
2 3/5 inches in a year
Step-by-step explanation:
28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5
74,626,831.08 ROUNDED TO THE TENTH.
Answer:
74,626,831.1
Step-by-step explanation:
You'd notice that in the 0.8 part that the number 8 is greater than 5, and with rounding, if the number if 5 or over, then you round the decimal place before it to a number higher.
does anyone know the answer to this question?
consider the sequence below. What are the next three terms in the sequence?
3, 7, 11, 15,....
where does 17 lie between
HELP PLEASE PLEASE 50 PTS
The polynomial is missing the coefficient of the third and last terms.
729x3 – 1,458x2y + ____xy2 – ____y3
If the polynomial is factorable using the binomial theorem, what is the coefficient of xy2?
324
648
972
1,944
Answer:
C
Step-by-step explanation:
Ed2021
The missing coefficient of xy² is 972, option C is correct.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is 729x³ – 1,458x²y + ____xy² – ____y³
To find the missing coefficients, we can use the fact that the polynomial is factorable using the binomial theorem.
According to the binomial theorem, the expansion of (a + b)^3 is:
(a + b)³ = a³ + 3a²b + 3ab² + b³
Comparing this with the given polynomial, we can see that a = 9x and b = -2y.
Substituting these values in the binomial theorem, we get:
(9x - 2y)³ = (9x)³ + 3(9x)²(-2y) + 3(9x)(-2y)² + (-2y)³
Simplifying this expression, we get:
729x³ - 1,458x²y + 972xy² - 8y³
Therefore, the missing coefficient of xy² is 972, option C is correct.
To learn more on Polynomials click:
https://brainly.com/question/11536910
#SPJ3
will mark brainliest:) helppppp -7x + y = -19 -2x+ 3y = -19 solve the system of equations
Answer:
X=2, Y=-15
Step-by-step explanation:
-7x+y=-19
-2x+3y=-19
------------------
-3(-7x+y)=-19
-2x+3y=-19
---------------------
21x-3y=57
-2x+3y=-19
---------------------
19x = 38
19x/19=38/19
x=2
now plug 2 into x of the second equation to get y=-15
The temperature in Denver is -4 degrees
Celsius and the temperature if Tampa is 38
degrees Celsius. What is the difference
3) between these two temperatures?
Answer:
34 degrees Celsius
Step-by-step explanation:
For this question, you just find the sum of the two temperatures:
-4+38 = 34
What is |-5 x 6 + 7|?
23
⊝
-65
⊝
-37
⊝
37
Answer:
your answer is A
Step-by-step explanation:
This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?
Answer:
(0,-26)
Step-by-step explanation:
0 -26
17 -39
34 -52
51 -65
68 -78