Answer:
Approximately 58.4%
Step-by-step explanation:
The probability that they are different is the opposite of the probability that they are the same.
The probability that they are the same is:
P(plain, plain) = (12/20) (11/19) = 132 / 380
P(chocolate, chocolate) = (5/20) (4/19) = 20 / 380
P(currant, currant) = (3/20) (2/19) = 6 / 380
P(same) = 132/380 + 20/380 + 6/380
P(same) = 158/380
P(same) = 79/190
Therefore, the probability that they are different is:
P(different) = 1 − 79/
[tex]\frac{111}{190}[/tex] is the probability that the two biscuits were of not the same type.
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
According to question, Carolyn has 20 biscuits in a tin.
She has 12 plain biscuits, 5 chocolate biscuits and 3 ginger biscuits
Carolyn takes at random two biscuits from the tin.
We have to find out the probability that the two biscuits were of not the same type.
P(plain biscuit, plain biscuit) [tex]=(\frac{12}{20} )(\frac{11}{19} )=\frac{132}{380}[/tex]
P(chocolate biscuit, chocolate biscuit)[tex]=(\frac{5}{20})(\frac{4}{19} )=\frac{20}{380}[/tex]
P(ginger biscuit, ginger biscuit)[tex]=(\frac{3}{20}) (\frac{2}{19})=\frac{6}{380}[/tex]
Probability of same type of biscuits
[tex]=\frac{132}{380} +\frac{20}{380}+\frac{6}{380}[/tex]
[tex]=\frac{79}{190}[/tex]
The probability that the two biscuits were not of the same type.
[tex]=1-\frac{79}{190}[/tex]
[tex]=\frac{111}{190}[/tex]
Hence, we can conclude that [tex]\frac{111}{190}[/tex] is the probability that the two biscuits were not of the same type.
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Write the equation of a line that is perpendicular to y = 0.25x - 7 and that passes through the point (-6,8).
Answer:
y = -4x -16
Step-by-step explanation:
Line perpendicular have the slope = -1/m
Substitute the values,
8 = (-4)(-6) + c
8 = 24 + c
c = -16
Thus, the equation of the perpendicular line is y = -4x-16
Select the equivalent expression.
Answer:
The Answer is B
Step-by-step explanation:
In [tex](a^{-2} * 8^{7})^{2}[/tex], each inner term has its exponent multiplied by the two on the outside. The answer is thus [tex]a^{-4}*8^{14}[/tex] or [tex]\frac{8^{14}}{a^{4}}[/tex]
Analyze the number line below and answer the question that follows.
If jpg, where could point I be?
A.
–7
B.
–6
C.
–5
D.
–4
Please select the best answer from the choices provided
A
B
C
D
Answer:
c
Step-by-step explanation:
How was triangle A translated?
O four units left
O four units right
O six units left
O six units right ark this andTetrn
Answer:
D
Step-by-step explanation:
i know its six units right but i dont know what the rest of the answer says tho
Answer: D
Six units right
Step-by-step explanation:
I got it right on edg2020
Solve the system equation for X and using the elimination method .
- 2x + Зу = -1
2х + 5y= 25
Answer: 2х+5y=25= Slope = -0.800/2.000 = -0.400
x-intercept = 25/2 = 12.50000
y-intercept = 25/5 = 5
so slope form =0,400
x intercept form = 12.50000
y intercept =5
and the answer to 2x+3y=-1= Slope = 1.333/2.000 = 0.667
x-intercept = 1/2 = 0.50000
y-intercept = -1/3 = -0.33333
Step-by-step explanation: an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+5y-25 = 0 and calculate its properties
Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000
y-intercept = 25/5 = 5
When y = 0 the value of x is 25/2 Our line therefore "cuts" the x axis at x=12.50000
x-intercept = 25/2 = 12.50000
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 4.200. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.200 - 5.000 = -0.800 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -0.800/2.000 = -0.400
Geometric figure: Straight Line
Slope = -0.800/2.000 = -0.400
x-intercept = 25/2 = 12.50000
y-intercept = 25/5 = 5
I'm confused there is only i answer is it B or D?
Answer:
B
Step-by-step explanation:
Answer:
Where the question?
Step-by-step explanation:
Need help to solve 6/4y - 12 = 1/2y - 4
Answer:
6/4y - 12 = 1/2y -4
3/2y -12 = 1/2y - 4
-1/2y -1/2y
2/2y - 12 = -4 (2/2 = 1)
y - 12 = -4
+12 +12
y = 8
Step-by-step explanation:
The length and width of a rectangle are in a ratio of 7:11. If the perimeter of the
rectangle is 72 cm. Find the
length and
width of the rectangle.
Answer:
14cm and 22cm
Step-by-step explanation:
Given parameters:
Perimeter of rectangle = 72cm
Ratio of length to width = 7: 11
Unknown:
Length and width of the rectangle = ?
Solution:
Since the ratio of length to width is 7: 11,
if the length is 7x , width = 11x
The perimeter of a rectangle can be obtained using
Perimeter = 2(L + W)
Insert the parameters and solve;
72 = 2(7x + 11x )
72 = 2(18x)
x = [tex]\frac{72}{36}[/tex] = 2
The length = 7x = 7x2 = 14cm
width = 11x = 11 x 2 = 22cm
Albania is an Eastern European country that uses a currency called the Albanian Lek (ALL). Right now, $1 (1 USD) exchanges for 106.40 ALL. How many dollars (USD) could you exchange for 1,000,000 ALL? Answer: 1,000,000 ALL = _______ USD. Round your answer to two (2) decimal places. *
Answer:
$9398.50
Step-by-step explanation:
Given
[tex]\$1 = 106.40\ ALL[/tex]
Required
Equivalent of 1,000,000 ALL
We have:
[tex]\$1 = 106.40\ ALL[/tex]
and
[tex]\$x = 1000000\ ALL[/tex]
Cross Multiply
[tex]x * 106.40 = 1 * 1000000[/tex]
[tex]106.40x = 1000000[/tex]
Solve for x
[tex]x = 1000000/106.4[/tex]
[tex]x = \$9398.50[/tex] -- Approximated
the sum of two numbers is 10 the difference between the two numbers is 4
Answer:
7 and 3
Step-by-step explanation:
7+3=10. And 7-3=4
Ma smith invested $1240 more in stock A than in stock B if she invested a total of $6000 in the two stock How much did she invest in stock A?
Answer:
stream walls by louis tomlinson on itunes
Step-by-step explanation:
Plz help me quickly
Answer:
0
Step-by-step explanation:
according to what is given:
K = 0
N = 3
I = -2
so just substitute in these values into the given equations and solve
KN + IK
0 * 3 + -2 * 0
= 0 + 0
= 0
The half-life of a certain radioactive material is 36 days. An initial amount of the material has a mass of 487 kg. Write an exponential function that models the
decay of this material. Find how much radioactive material remains after 5 days. Round your answer to the nearest thousandth.
Ο Α.
;0.318 kg
y = 487
B.
: 0.847
kg
y=
oc.
: 442.302 kg
y = 487
s(1
»=2(43);
OD
: 0 kg
Answer:
a(t) = 487(1/2)^(t/36)a(5) = 442.302 kgStep-by-step explanation:
The exponential function for half-life problems is easily written using 1/2 as the base of the exponent.
present value = (initial value) × (1/2)^(t/(half-life))
Then the amount (a) remaining after t days is ...
a(t) = 487 × (1/2)^(t/36)
__
After 5 days, the amount remaining is ...
a(5) = 487×(1/2)^(5/36) ≈ 442.302 kg
_____
Some folks like their exponential function to be written using e as the base for the exponent. Here, that would be ...
a(t) = 487·e^(-0.019254t)
where the constant in the exponent is -ln(2)/36.
in the sahara desert one day it was 136 Fahrenheit, in the Goni desert a temperature of -50 degrees Fahrenheit was recorded, What is the difference between these two temperature
Answer:
186 degrees Fahrenheit
Step-by-step explanation:
If you get rid of the - in -50 than it is 50 and 50+136=186
Answer:
186 Fahrenheit
Step-by-step explanation:
Difference= steam point-ice point
=136-(-50)
=136+50
=186F
Which expression has the same value as 4÷25?
Answer:
We need the choices, since there are plenty equations with the same value.
Step-by-step explanation:
4/25=0.16
Whichever equation equals 0.16 is your answer.
What is the Slope???????????final chapter!!!!!!!!!
Answer:
The slope is -7/4
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Answer:
i got 4/11 which simplified is still 4/11
2 less than 3 times a number greater than 10. Write as inequality
Answer:
2<3x>10
Step-by-step explanation:
2<3x>10
Factor -6m + 9.
-6(m - 3)
-6(m + 9)
-3(2m + 3)
-3(2m - 3)
Answer:
-3(2m - 3)
Step-by-step explanation:
Find GCF
-3 so -6m/-3 = 2m
9/-3 = -3
-3(2m-3)
What is the average rate of change of y with respect to x over the interval [-2, 6] for the function y = 5x + 2?
Answer:
5
Step-by-step explanation:
Average rate of change is slope, which is change in y over change in x:
[tex]\frac{[5(6)+2]-[5(-2)+2]}{6-(-2)} =\frac{32-(-8)}{8} =5[/tex]
The average rate of change of the function is 5.
What is the average rate of change of a function?The sum of the change in the function values (output values) divided by the change in the input values is the average rate of change between two input values.
The given interval is [-2,6] and the given function is f(x) = y = 5x + 2.
The value of the function for x = 6 is:
f(6) = 5(6) + 2
f(6) = 32
The value of f(x) for x = -2 is:
f (-2) = 5(-2) + 2
f(-2) = -10 + 2
f(-2) = -8
The average rate of change of the function is given by:
( f(6) - f(-2) )/ (6 - (-2))
= ( 32 - (-8))/ (6 + 2)
= ( 32 + 8)/8
= 40/8
= 5
Hence, the average rate of change of the function is 5.
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Find the variables.
(2x)"
54
x=
Answer: x= 108
Step-by-step explanation: (2x)" 54 x= 108x^2= (2^X3^3x^2 )= 108
100 micrograms of a drug are contained in 2 milliliters. How many milliliters are contained in 15 micrograms?
Answer:
.3
Step-by-step explanation:
multiply .15 by 2
Pls helpppppppppppppppppp
Answer: 75
Step-by-step explanation:
Multiple all those numbers together and then divide by 3
Answer:
75
Step-by-step explanation:
V=lwh/3 which =5·7.5·6/3 and that equals 225/3 which results in 75
1) Select the characteristics that are true of all parallelograms. Group of answer choices Opposite sides are never equal. Opposite angles are congruent (equal). A parallelogram can have more than 4 sides. Parallelograms have 4 sides. Opposites sides are parallel and equal in length.
Answer:
- Opposite angles are congruent (equal).
- Parallelograms have 4 sides
- Opposites sides are parallel and equal in length.
Step-by-step explanation:
A parallelogram is a quadrilateral and since quadrilaterals are fur sided figures, hence parallelograms are also four sided figures.
A parallelogram has its opposite side equal and parallel to each other with a slanting edge at two of its sides. Since its opposite sides are equal hence its opposite angles are also equal.
Parallelogram cannot have more than four sides because they are quadrilateral. Find the diagram of a parallelogram in the attached figure.
It can be seen from the attached figure that AB//CD and AD//BC
Write 0.00000029 in scientific notation.
[tex]29 \times {10}^{ - 8} = 2.9 \times {10}^{ - 7} [/tex]
And we're done.
Thanks for watching buddy good luck.
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A pilot planning to fly at 420 miles per hour flies against a wind which cuts the speed to 4/5 of the planned speed. How long
will it take the plane to travel 840 miles?
Answer:
2.5 hours
Step-by-step explanation:
420x4/5=336
840/336=2.5
Answer
2.5 hours
Step-by-step explanation:
4/5 of 420 is 336 mph
840 ÷ 336 = 2.5 hours
Who c is the value of the expression [(10^4)(5^2)/10^3)(5^3)]^3 1 2 8 10
Answer:
8
10 divided by 5 is 2, and 2 cubed is 8
What is the answer? 30 points and I give Brainliest :)
0.05n + 0.25(36 – n) = 6
0.05n + 0.25(36 – n) = 36
n + 0.05 = 0.05n
n + (36 – n) = 36
Answer:
.05n + .25( 35-n) = 6
Step-by-step explanation:
Add the value of each coin times the number of each coin to get the total amount
.05n + .25( 35-n) = 6
The cost of 6 1/2 kg of apples is Rs. 520. What is the rate of one kg of apples
Step-by-step explanation:
So, cost of 6.5 kg of apples is Rs. 520 and we need to find cost of one kg apples.
It can be done just by applying Unitary Method!So,
6.5 kg -- Rs. 520
1 kg -- Rs.(520/6.5) = Rs.80
So, cost of 1 kg apples is Rs.80.select the interval where f is positive
Answer:
-1 < x < 1
Step-by-step explanation:
It's B.
This is confusing I need help .
Answer:
x = 54angle ACD = 124°Step-by-step explanation:
The rule is that the exterior angle (ACD) is equal to the sum of the remote interior angles (the two marked angles on the right).
You are expected to use this relation to write and solve an equation.
exterior angle = angle D + angle B
(2x +16) = 58 + (x+12)
2x +16 = x +70
x + 16 = 70
x = 54
Then angle ACD is ...
angle ACD = (2x +16)° = (2·54 +16)°
angle ACD = 124°
