Answer:
1)The probability that the ball drawn is not red is 6 /14
2)Probability of getting either a prime or a multiple of 3 is 7/10
3)Probability of drawing three balls without replacement such that all three are Same colour is 0.0747
Probability of drawing three balls without replacement such that all three are different colour is 0.5
Step-by-step explanation:
1) A ball is drawn randomly from a bag containing 8 red, 4 blue and 2 green identical balls. Find the probability that the ball drawn is not red.
No. of red balls = 8
No. of blue balls = 4
No. of green balls = 2
Total no. of balls = 8+4+2=14
P(Getting red bal)=[tex]\frac{8}{14}[/tex]
P( ball drawn is not red) = [tex]1 - \frac{8}{14}=\frac{6}{14}[/tex]
So,the probability that the ball drawn is not red is 6 /14
2)What is the probability that a number chosen at random from the integers between 1 and 10 inclusive is either a prime or a multiple of 3?
Numbers : 1 ,2,3,4,5,6,7,8,9,10
Prime numbers: 2,3,5,7 = 4
Multiple of 3 = 3,6,9 =3
So, Probability of getting prime number =[tex]\frac{4}{10}[/tex]
Probability of getting multiple of 3 =[tex]\frac{3}{10}[/tex]
So, Probability of getting either a prime or a multiple of 3=[tex]\frac{4}{10}+\frac{3}{10}=\frac{7}{10}[/tex]
Hence Probability of getting either a prime or a multiple of 3 is 7/10
3)A bag contains four red balls, five blue balls and six green balls. Three balls are drawn from the bag at random without replacement. What is the probability that all three are:
The same colour
Different colour
No. of red balls = 4
No. of blue balls = 5
No. of green balls = 6
Total balls = 15
Case 1 :all three are Same colour
So, probability of drawing three balls without replacement such that all three are Same colour = [tex]\frac{4}{15} \times \frac{3}{14} \times \frac{2}{13}+\frac{5}{15} \times \frac{4}{14} \times \frac{3}{13}+\frac{6}{15} \times \frac{5}{14} \times \frac{4}{13}=0.0747[/tex]
So, probability of drawing three balls without replacement such that all three are different colour =[tex]\frac{4}{10} \times \frac{5}{9} \times \frac{6}{8}+\frac{5}{10} \times \frac{4}{9} \times \frac{6}{8}+\frac{6}{10} \times \frac{5}{9} \times \frac{4}{8}=0.5[/tex]
So,probability of drawing three balls without replacement such that all three are Same colour is 0.0747
So,probability of drawing three balls without replacement such that all three are different colour is 0.5
Please help ! I really don’t understand:((
Answer: B
Step-by-step explanation:
just took that
Answer:
the answer is B
Step-by-step explanation:
Given ΔADC and ΔAEB, What is AE?
Answer:
AE = 43.2 units
Step-by-step explanation:
As per the given question image, it can be seen that in the [tex]\triangle ADC \text { and }\triangle AEB :[/tex]
1. [tex]\angle B = \angle C = 90^\circ[/tex]
2. [tex]\angle A[/tex] is common to both the triangles.
3. Two angles are common, so the third angle [tex]\angle E[/tex] is also equal to [tex]\angle D[/tex].
All the three angles in the [tex]\triangle ADC \text { and }\triangle AEB[/tex] are equal to each other, hence the triangles are similar.
As per the property of similar triangles, the ratio of their sides will be equal.
AB : AC = AE : AD
AC = 88 units
BC = 55 units
AB = AC - AB = 33 units
Let side AE = [tex]x[/tex] units
Side AD = AE + ED
So, AD = [tex]x + 72[/tex]
Using the ratio:
[tex]\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units[/tex]
So, AE = 43.2 units
what is to be added to -1 to get the number 7 by 5
Answer:
Step-by-step explanation:
let the number be x
-1 + x = 7/5
x = 7/5 +1
x = 12 /5
please mark me as the brainliest
Answer:
x=12/5
Step-by-step explanation:
Simply Savings Bank offers a simple interest rate of 10% per year. Compound Capital Bank offers an interest rate of 8% per year compounded continuously. If Shakira plans to invest $200 for 5 years, which bank should she choose?
Answer:
She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.
Step-by-step explanation:
A simple interest rate account yields a return that follows the formula below:
[tex]return = C + C*r*t[/tex]
Where C is the invested money, r is the interest rate and t is the elapsed time in years.
While a compound interest rate account yields a return that follows the formula below:
[tex]return = C*e^{r*t}[/tex]
Therefore for the Simply Saving Bank she'll earn:
[tex]return_{1} = 200 + 200*0.1*5\\return_{1} = 200 + 100\\retrun_{1} = 300[/tex]
While the Capital Bank she'll earn:
[tex]return_2 = 200*e^{0.08*5}\\return_2 = 200*e^{0.4}\\return_2 = 200*1.49182\\return_2 = 298.364[/tex]
She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.
Tobias made a fruit salad with a blueberry to raspberry ratio of 8:6. Tobias' container of blueberries contains 72 blueberries. If he keeps to the same ratio, how many raspberries will Tobias use?
Answer:
54.
Step-by-step explanation:
8/6 = 72/ x where x is the number of raspberries.
8x = 6*72
8x = 432
x = 54.
Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written? 2 x + z + 5 minus 6 z squared
2 x minus z minus 5 + 2 z squared
Negative 2 x minus z minus 5 + 2 z squared
Negative 2 x + z minus 5 + 2 z
squared
Thank you in advice
[tex]2x - z - 5 + {2z}^{2} [/tex]
Step-by-step explanation:
The coefficient of x is 2= 2x
the coefficient of z is -1 which is = (-1)z= -z
the constant term is less than zero which means that the constant term is a negative number.
so the answer becomes
[tex]2x - z - 5 + {2} { (- 1)}^{2} [/tex]
which is =2x-z-3
Answer:
2 x minus z minus 5 + 2 z squared
Step-by-step explanation:
a : 27=6:18, find a
Answer: 9
Step-by-step explanation:
The reason for this answer, is because when you decide 18 by 6 it gives you 3. Which means that when you devide 27 by 3 it will give you your answer. 9. You can make sure it’s correct when you do the math. 27/9=3. 18/6=3.
This way, your answers are equivalent to each other.
If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!
(Even a brainliest if you want ;D)
Answer:
a=9
Step-by-step explanation:cross multiply
The value of k, for which the system of equations x-3y+6=0, 4x-6y+.15=0 represent parallel lines, is:
A)1
B)2
C)3
D)4
Jordan is putting a fence around a garden that is shaped like a half circle and rectangle
Answer:
92 ft
Step-by-step explanation:
Assume the garden has the shape shown below.
The length of fencing equals the distance around three sides of the rectangle plus that around the semicircle.
1. Around the rectangle
Distance = 28 ft + 14 ft + 28 ft = 70 ft
2. Around the semicircle
For a circle.
C = 2πr
For the semicircle,
½C =½(2πr) = πr
D = 14 ft, so
r = 7 ft
[tex]\text{Distance} = \dfrac{22}{7} \times \text{7 ft} = \text{22 ft}[/tex]
3. Total distance
Distance = 70 ft + 22 ft = 92 ft
Jordan will need 92 ft of fencing.
The temperature was 54° at 7:00 a.M. At 3:00 p.M. On the same day, the temperature was 82°. What is the rate of change in temperature during this time?
Answer:
3.5°/hour
Step-by-step explanation:
Rate of change of temperature=change in temperature/Change in time
Change in temperature
=82° - 54°
=28°
Change in time=3:00pm - 7:00am
=8:00 hours
Rate of change of temperature=28°/8 hours
=3.5°/hour
Answer:
The rate of temperature change is 3.5 degree celcius per hour
Step-by-step explanation:
Here, we want to calculate the rate of change of temperature
Firstly, we calculate the number of hours it took the temperature to change
that mathematically = 15:00(3pm) - 7:00(7 am) = 8 hours
now let’s calculate the temperature rise = 82-54 = 28
The rate of temperature change is thus = change in temperature/ number of hours taken
= 28/8 = 3.5 degree celcius per hour
You buy 3 new shirts for $17 each and 5 new pairs of pants for $12 each. You give the cashier $110. Which of the following is a good estimation of the change you will get back?
Answer:No change
Step-by-step explanation:
3*17=51 + 5*12=60
So 51+60=111. So in reality you would still need to pay $1.
Answer:
you still owe 1 dollar to the store
Help please! What are the first 4 terms of the arithmetic sequence in the graph?
Answer:
2, -2, -6, -10
Step-by-step explanation:
In this graph, the x value represents the count of the terms, while the y represents the value of each term. This means that the value of the first one is 2, the value of the second one is -2, the third one -6, and the fourth one -10. Hope this helps!
Among 120 people , 80 drink tea and 40 drink
coffee. 20 of them drink neither tea or coffee;
answer the following question with the help of
a venn-diagram
1.how many of them drink tea only
[tex]please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps....[/tex]
20 POINTS !! PLEASE ANSWER THIS MATH QUESTION !!
Answer:
7.8
Step-by-step explanation:
Sine 50=6/x
x= 6/Sine 50
x=7.8
Answer:
h ≈ 7.8 cm
Step-by-step explanation:
Use sines to determine the length of the hypotenuse. You know that there is a 50 degree angle, and that the ratio for sine is opposite/hypotenuse. You know that the opposite side from that angle is 6 cm, so you can set up the following equation:
sin50 = 6/h
sin50h = 6
h ≈ 7.8 cm
What is the value of 3 in 731.8?
Answer:
Tens
Step-by-step explanation:
the three is in the tens value
Answer:
value = 30
place = tens
Step-by-step explanation:
( attached for reference)
the digit "3" is in the tens place.
Hence the value is "3-tens" or 3 x 10 = 30
Solve for a side in a right triangle
Answer:
1.88 = ?
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 20 = ?/ 2
Multiply each side by 2
2 cos 20 = ?
1.879385242 = ?
To the nearest hundredth
1.88 = ?
Find the measure of angle DEH:
E
D
ti
+
F
56°
다.
G
Value: 10
The measure of angle DEH is ___ degrees.
Answer:
62
Step-by-step explanation:
I did 180-56=124
124/2 which was 62
A mechanic cuts 14 pieces of copper
tubing from a coil. Each piece is 3 1/2
inches long. What is the total length
used?
Answer:
49
Step-by-step explanation:
14*3.5
Because 49/3.5 = 49
Thats how I got it
Hope it helps
Find the remainder when p(x)= x^5 + x^4 + x^3 + x^2 + 2x + 2 is divided by q(x) = x + 1
Answer:
0
Step-by-step explanation:
Given a polynomial p(x) divided by (x + h), then the remainder is
p(- h)
Here divisor is (x + 1), so evaluate p(- 1) for remainder
p(- 1) = [tex](-1)^{5}[/tex] + [tex](-1)^{4}[/tex] + (- 1)³ + (- 1)² + 2(- 1) + 2
= - 1 + 1 - 1 + 1 - 2 + 2
= 0
This means that (x + 1) is a factor of p(x)
WIll MARK BRAINLIEST IF ANSWER IN 2 MINUTES!!!! Which represents the equation 6 x + 3 y = 12 when solved for y? y = negative 2 x + 4 y = 2 x + 4 y = negative 2 x minus 4 y = 2 x minus 4
Answer:
y=-2x+4
Step-by-step explanation:
6x+3y=12
3y=-6x+12
y=-2x+4
Answer:
The correct answer is y A.) = -2x + 4
Step-by-step explanation:
i just did the test on edge 2020 and got it right
without actually calculating the cubes, find the value of (16)^3+(-7)^3+(-9)^3
Answer:
(16)^3 = (7 + 9)^3 = 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7
=>(16)^3 + (-7)^3 + (-9)^3 = (-7)^3 + (-9)^3 + 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7
= [(-7)^3 + 7^3] + [9^3 + (-9)^3] + 3 x 7^2 x 9 + 3x9^2x7
= 0 + 0 + 3 x 7^2 x 9 + 3 x 9^2 x 7
= 3 x 7^2 x 9 + 3 x 9^2 x 7
= 3 x 9 x 7 x (7 + 9)
= 3 x 7 x 9 x 16
= 3 x 7 x 9 x 8 x 2
= 6 x 7 x 8 x 9
= 3024
Hope this helps!
:)
Can someone help me with this?
will mark as brainliest.
What angle corresponds to ∠M?
Answer: Angle B
Step-by-step explanation:
Since the two shapes are similar. The angles stay with the shape. This means that angle M should correspond to angle B.
Answer: angle b .
Step-by-step explanation:
If $5000 earns $6000 simple interest in 12 years, find the interest rate.
Answer:
2.2% interest
Step-by-step explanation:
Three less than twice a number is seventeen. What is the number?
Na figura, OC é bissetriz do ângulo AOB. A medida de BÔC está representada,em graus, por uma expressão algérica.
A: Represente, por uma expressão algébrica, a medida de AÔB em graus.
B: Calcule a medida de BÔC e AÔB para x=9
Answer:
We know by given that OC bisects the angle, which means it divides the angle AOB in two equal parts. So,
[tex]m \angle AOB = 3x +5 + 3x +5 =6x+10[/tex]
If [tex]x=9[/tex], then we use this value to find each angle.
[tex]m \angle BOC = 3x+5 =3(9)+5=27+5=32[/tex]
Therefore, angles BOC and AOC measure 32°.
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
Answer:
here
Step-by-step explanation:
The probability of getting 1 red is 4/7. The probability of getting 2 reds in a row is (4/7)^2 = 16/49.
PLEASE HELPPPPPPPPP
MARKING BRANLIEST
Answer:
A
A
5
Step-by-step explanation:
Rectangular Prism A
volume = length * width * height = 7 cm * 7 cm * 5 cm = 245 cm^3
Rectangular Prism B
volume = length * width * height = 8 cm * 6 cm * 5 cm = 240 cm^3
Answers:
A
A
5
You can compute the slope of a line by using the slope ___
You can compute the slope of a line by using the slope formula. This is given by:
slope,m=(change in y-axis)/(change in x-axis)
=(Δ y-axis)/(Δ x-axis)
Given the points (x1,y1) and (x,y) from a linear graph, then:
slope m will be:
m=(y-y1)/(x-x1)
You can compute the slope of a line by using the slope formula.
plslslslsl help ASAPPPP 10 points and you win brainlist
Answer:
71
Step-by-step explanation:
Take the cost of the item and multiply by the commission percent
800 * 8.875%
Change to decimal form
800*.08875
71
Answer:
71
Step-by-step explanation:
Simon earns 8.875 for a commission. yet for him to sold a rowboat that cost $800.
800*8.875
=$71
pls help me any bit can help need it asap though. only need part lll the words cutt of are show work
Answer:
y = 4/3 x - 3.
Step-by-step explanation:
III
y - 5 = 4/3(x - 6)
y = 4/3(x - 6) + 5
y = 4/3 x - 8 + 5
y = 4/3 x - 3.