Answers
Given:
Cards labelled 1, 3, 5, 6, 8 and 9.
A card is drawn and not replaced. Then a second card is drawn at random.
To find:
The probability of drawing 2 even numbers.
Solution:
We have,
Even number cards = 6, 8
Odd numbers cards = 1, 3, 5, 9
Total cards = 1, 3, 5, 6, 8 and 9
Number of even cards = 2
Number of total cards = 6
So, the probability of getting an even card in first draw is:
[tex]P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}[/tex]
[tex]P_1=\dfrac{2}{6}[/tex]
[tex]P_1=\dfrac{1}{3}[/tex]
Now,
Number of remaining even cards = 1
Number of remaining cards = 5
So, the probability of getting an even card in second draw is:
[tex]P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}[/tex]
[tex]P_2=\dfrac{1}{5}[/tex]
The probability of drawing 2 even numbers is:
[tex]P=P_1\times P_2[/tex]
[tex]P=\dfrac{1}{3}\times \dfrac{1}{5}[/tex]
[tex]P=\dfrac{1}{15}[/tex]
Therefore, the probability of drawing 2 even numbers is [tex]\dfrac{1}{15}[/tex]. Hence, the correct option is (b).
Related Questions
What is the surface area of a sphere with a diameter of 6 cm?
Answers
The equation a + b = c could be true or false.
Answers
Can u guys hurry up pleasee The manager of a local appliance store wants to conduct a customer satisfaction survey. Which population should the manager survey? A.Sales people in the store. B.People in charge of repairs at the store. C.People who bought a major appliance from the store. D.Prospective buyers who visit the store.
Answers
C. People who bought a major appliance from the store.
Step-by-step explanation:A customer satisfaction survey is a market survey carried out to analyze how satisfied users or customers are in using or consuming a particular product or service. Basically, it has to be carried out on the customers themselves. By costumers, we mean those that have bought and/or used the service or product.
For the local appliance store, the manager should survey people that have bought at least one major appliance from the store. Those are the right people that should make up the population to be surveyed. This is because;
i. They are the consumers of the product.
ii. They have bought and definitely used the product.
iii. They have some usable and useful experiences since they have handled the product.
An oil-drilling rig has dug a hole to a depth of -60 ft. after one full day and night of continuous
use. The rate of the rig stayed constant over that time.
Part A: The rig will be used to dig a second hole with a depth of -150 ft at the same rate as
before. How many hours will the rig take to complete digging the hole?
Answers
Answer:
It will take 60 hrs
Hope this helped!
Answer:
It would take 60 hours for the rig to complete digging the -150 ft. hole.
Step-by-step explanation:
Hint: Using ratios will help solve questions like this one.
The first hole was dug -60 ft. below the surface for a whole day and night. A day lasts 12 hours and the same goes for a whole night. That's 24 hours in total. This will help answer Part A. A second hole was dug -150 ft. below the surface with the same rate as the first hole. Let's put this into a ratio.
-60 : 24
-150 : ?
Finding the scale factor in ratios will help solve for the missing value. We can divide -150 by -60 which results in 2.5. Multiply 2.5 by 24 and you will get 60 hours as your final answer. I hope you will find this helpful! :D
En el numeral 87.684 la cifra de las decimas es la cifra de las centésimas es la cifra de las milésimas es la parte entera de la expresión decimas es en la parte entera, la cifra de unidades es , mientras que la cifra de la decena es
Answers
Answer:
La cifra de las decimas es 6, la cifra de las centésimas es 8, la cifra de las milésimas es 4, y en la parte entera, la cifra de unidades es 7, mientras que la cifra de la decena es 8.
Step-by-step explanation:
Para responder la pregunta, se debe descomponer el número en cuestión:
87.684
8 = Indica la cantidad de decenas del número, es decir, 8 decenas (80).
7 = Indica las unidades dentro de la decena, es decir, 7 unidades más que 80.
.6 = Indica la cantidad de decenas del entero.
.08 = Indica la cantidad de centésimas del entero.
.004 = Indica la cantidad de milésimas del entero.
Así, la cifra de las decimas es 6, la cifra de las centésimas es 8, la cifra de las milésimas es 4, y en la parte entera, la cifra de unidades es 7, mientras que la cifra de la decena es 8.
Can someone help me with this? i’m struggling urgent help please!!!!
Answers
Answer:
Similar by SAS
Step-by-step explanation:
If you multiply the two given sides by 3/2 you will get the sides for the large triangle
3/2 * 10 = 30 / 2 = 15
3/2 * 24 = 72 / 2 = 36
Therefore they are similar by SAS postulate for similarity. Notice that the right angle is between the legs of the triangle. That is the main qualification that allows you to use SAS for similarity.
Find the other two angles of both the triangles, if they were similar then the triangles are similar
MCQ Questions for Class 7 Maths
Fractions and Decimals
1. (1/2)×(1/5)= ____
(a) 1/7
(b) 1/10
(c) 5/2
(d) 2/5
2. Find the area of rectangle whose length is 6.7 cm and breadth is 2 cm.
(a) 13.0 cm2
(b) 13.4 cm2
(c) 13.8 cm2
(d) 14 cm2
3. What is the fraction of the shaded area?
(a) 2/3
(b) 1/3
(c) 1/4
(d) None of these
4. What are fractions with different denominators called?
(a) Like
(b) Unlike
(c) Proper
(d) Improper
5. Indian cricket team won 4 more matches than it lost with New Zealand. If it won 3/5 of its
match, how many matches did India play?
(a) 8
(b) 12
(c) 16
(d) 20
6. Which of the following is a proper fraction?
(a) 28/15
(b) 21/23
(c) 16/7
(d) 34/3
7. What should be added to 21/27 to make it to 26/27?
(a) 26/27
(b) 6/27
(c) 5/27
(d) 7/27
Answers
Step-by-step explanation:
Answer 1
⅒
Answer 2
13.3cm²
Answer 3
I cannot see any shaded area and sorry
Answer 4
Unlike
Answer 6
21/23
Answer 7
5/27
hope it helps
Answer:
Step-by-step explanation:
Answer:
A1. The answer is option (b) 1/10
A2. The answer is option (b) 13.4 cm²
A3. Shaded area not provided
A4. The answer is option (b) Unlike Fractions
A5. The answer is option (d) 20
A6. The answer is option (b) 21/23
A7. The answer is option (c) 5/27
Step-by-step explanation:
A1. We multiply the denominators (the numbers on the bottom) and the numerators (the numbers on top) to multiple fractions. As a result, for (1/2) x (1/5), we have
(1/2) × (1/5) = (1 × 1) / (2 × 5) = 1/10.
A2. Multiplying the length by the breadth yields the area of a rectangle. The dimensions in this instance are 6.7 cm in length and 2 cm in width. So, the area may be determined as follows:
Area = length × breadth = 6.7 cm × 2 cm = 13.4 cm².
Hence, the correct answer is (b) 13.4 cm².
A3. Please provide the shaded area.
A4. Fractions that have different denominator are called unlike fractions.
So the answer is option (b)
A5.Let us suppose India played 'x' number of matches
According to the Question, India won 3/5 of its matches, which implies that they won 3/5 * x matches.
It is also mentioned that India won 4 more matches than it lost against New Zealand. Therefore, the number of matches India won against New Zealand is 4 more than the number of matches it lost against New Zealand.
From this, we can set up the equation:
3/5 * x = (x/2) + 4
Multiplying both the sides by 10, we have
6x = 5x + 20
subtracting 5x from both sides:
6x - 5x = 5x - 5x + 20
x = 20
Hence, India played 20 matches.
A6. When the numerator is less than the denominator, the fraction is said to be proper fraction. Hence among the given options, 21/23 fits the best.
Hence option (b) is correct
A7. To find what should be added to 21/27 to make it 26/27, we need to calculate the difference between the two fractions.
Let us suppose that we need to add x
=> 21/27 + x = 26/27
=> x= 26/27 - 21/27 = 5/27
Therefore, the answer is (c) 5/27.
Suppose you have a bag with 50 letter tiles in it and 23 of the tiles are the letter Y. If
23
you pick a letter tile at random from the bag, the probability that it is the letter Y is Suppose
50
another bag has 200 letter tiles in it and 172 of the tiles are the letter Y. Write the probability of
picking a tile that is the letter Y as a fraction and as a percent. From which bag are you more likely
to pick a tile that is the letter Y?
Answers
Answer:
23
Step-by-step explanation:
234Suppose you have a bag with 50 letter tiles in it and 23 of the tiles are the letter Y. If
23
you pick a letter tile at random from the bag, the probability that it is the letter Y is Suppose
50
another bag has 200 letter tiles in it and 172 of the tiles are the letter Y. Write the probability of
picking a tile that is the letter Y as a fraction and as a percent. From which bag are you more likely
to pick a tile that is the letter Y?
The probability of picking the letter Y from bag of 50 letters is 23/50 or 0.46 or 46% and probability of picking the letter Y form bag of 200 letters is 172/200 or 0.86 or 86%. as the probability of getting the letter Y is more in second bag this it is better to pick the bag containing 200 letters.
What is a probability?The probability explains the chances of happening a event. The probability of an event is a number between 0 and 1, where, 0 indicates impossibility of the event to happen and 1 indicates certainty of the event to happen.
From the question it is said that a bag of 50 letter contain 23 Y letters. Thus the probability of the letter Y picking is 23/50 i.e, number of times the letter Y can come out if we pick the letters 50 times. So, it is certain that 23 Y letters can come out.
23/50= 0.46 or 46%
And if the bag contain 200 letters in which 172 are Y letters then the probability to pick Y is 172/200
172/100 =0.86 or 86%
As the chance to get Y letter is mor in bag containing 200 letters thus pick this bag.
thus the 1st bag probability is 46% and for 2nd bag is 86%. Hence choose 2nd bag
To know more about probability click here
https://brainly.com/question/11234923
#SPJ2
Tomas bikes 3 3/4 miles each morning and 2 1/2 miles each afternoon
Answers
Answer:
6 1/4
Step-by-step explanation:
1/2 = 2/4
2/4 + 3/4 = 5/4 which is 1 1/4 simplified.
Then add the whole numbers, 2 + 3 = 5
5 + 1 1/4 = 6 1/4
Tomas rides 6 1/4 miles everyday.
#3 Find the values of x and y
Answers
Answer:
y = 70
x = 70
is the answer. mark me as brainliest
Please help with math
Answers
Answer:
easy that thing needs help
x = 8 × Cos( 72 )
x = 8 × Cos( 90 - 18 )
x = 8 × Sin( 18 )
x = 8 × 0.309
x = 2.472
x = 2.470
x = 2.500
x = 2.5
I need help fast please
Answers
Answer:
f (x) = x^2 - 5x - 6
Step-by-step explanation:
That may be the answer
what is the area of parallelogram if base is 13 and the height 14
Answers
Answer:
A = 182
Step-by-step explanation:
14 x 13 = 182
So, 182 would be your answer.
Find the distance between A(-1, -1) and B(4, -5). Round your answer to the nearest tenth.
Answers
Answer:
6.4 units (nearest tenth)
Step-by-step explanation:
Distance between 2 points
[tex] = \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]
Distance between A and B
[tex] = \sqrt{[ - 1 - ( - 5)]^{2} + ( - 1 - 4)^{2} } [/tex]
[tex] = \sqrt{( - 1 + 5)^{2} + ( - 1 - 4) {}^{2} } [/tex]
[tex] = \sqrt{ {4}^{2} + ( - 5) {}^{2} } [/tex]
[tex] = \sqrt{41} [/tex]
= 6.4 units (nearest tenth)
Find the measure of m∠K
Answers
Answer:
<k = 20
Step-by-step explanation:
Inscribed Angle = 1/2Intercepted Arc
<K = 1/2 (40)
<k = 20
Another not so difficult one, Giving Brainliest and 35 points
Answers
Answer:
[tex] 3^{-2}=\frac{1}{3²}=\frac{1}{9}[/tex]
Answer:
1/9
Step-by-step explanation:
cause it would the negative would got the 3 so it would be -3×-3 so it would be positive 9 with a 1 over it
which line is parallel to y=3/4x+10
1. y=-3/4+1
2. y=4/3x+8
3. y=-4/3-10
4. y=3/4x-6
Answers
The answer would be number 4, y=3/4x-6.
This is because both of the equations share the same slope of 3/4x.
What is the solution to the systems of equations?
y= 2/3x + 3
x=-2
Answers
Answer:
y = 8/3
Step-by-step explanation:
x = -2
y = 2/(3*-2) + 3
y = 2/-6 + 3
y = -1/3 + 3
y = -1/3 + 9/3
y = 8/3
for 1 trial, 3 spinners are spun where each spinner has 3 equal sections labeled 1, 2, and 3. What is the probability that at least two spinners land on 1?
Answers
Answer:
80/121
Step-by-step explanation:
For simplicity,
Probabilities of getting a red, a blue or a green in a single spin are, respectively, 4/11, 4/11 & 3/11.
Therefore, probabilities of getting 2 reds, 2 blues or 2 greens in 2 spins are, 16/121, 16/121 & 9/121 respectively.
Then, total probability of getting same colour both times would be 16/121 + 16/121 + 9/121 = 41/121.
Any other option would result in 2 different colours. Thus, the probability of getting two different colours in 2 spins = 1 - 41/121 = 80/121.
When the hour hand moves from 3 pm to 6 pm, through how many degrees does it move?
A. 3⁰
B. 90⁰
C. 18⁰
D. 36⁰
Answers
Solution of 1/5 m = -1
Answers
Answer:
m = -5
Step-by-step explanation:
1/5 m = -1
Multiply each side by 5
5*1/5 m = -1*5
m = -5
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m = -5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'm':}}\\\\\frac{1}{5}m=-1\\---------\\\rightarrow (\frac{1}{5}m)5=-1(5)\\\\\rightarrow\boxed{m = -5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The picture is above I’ll mark as brainliest.
Answers
Answer:
width = 7 cm
Step-by-step explanation:
63 / 9 = 7
Therefore, 7 * 9 = 63cm cube
Answer:
7
Step-by-step explanation:
63 ÷ 9 = 7
63 ÷ 7 = 9
9 x 7 = 63
:D
Brainliest help please
Answers
Answer:
The 7 is in the tenths place
Step-by-step explanation:
869.74
hundreds tens ones. tenths hundredths
8 6 9 7 4
The 7 is in the tenths place
Answer: The 7 is in the tenths place not the hundreds place.
Tenths Hundreds
0.1 0.01
Hope this helps...
Have a great day.
Find the value for both 5 & 6 !!
Answers
Answer:
5. x= 30
6. x= 34,67
Step-by-step explanation:
5. 5x = 3x +60
2x = 60
x = 30
6. 11x - 15 + 5x -13 = 180
6x - 28 = 180
6x = 208
x= 34,666667 or 34,(6) or 34,67
If I had 3000 plums and I sold 100 how much money would I have plums would I have left.
Answers
Answer:
2,900 plums left
Step-by-step explanation:
3,000 plums - 100 sold plums = 2,900 plums left
Answer:
2900
Step-by-step explanation:
3000 (plums) - 100 (plums sold) = 2900 (plums left.)
You didn't say how much money you started out with by the plums.
Person 1 can do a certain job in twenty-one minutes, and person 2 can do the same job in twenty-eight minutes. When
completing the job together, which expression would be used to represent the amount of work done by person 1?
A. 21
B. X/21
C. 21x
D. 1/21
Answers
Answer:
C) x/21
Step-by-step explanation:
Since Person 1 can complete the entire job (100% = 1/1 = 1) in 21 minutes, this person can complete 1/21 of the job per minute. This is Person 1's rate. If x is the amount of time it takes both people together to finish the job, then the amount of work Person 1 does would be (1/21)(x) = x/21.
What is a cofunction? Give examples and explain the purpose.
Answers
Examples:
sin(π/2 - x) = cos(x), cos(π/2 - x) = sin(x), tan(π/2 - x) = cot(x), and cot(π/2 - x) = tan(x)
Purpose:
The cofunction identities show the relationship between sine, cosine, tangent, cotangent, secant, and cosecant. The value of an angle's trig function equals the value of the angle's complement's cofunction
Lucas and Tony were trying to solve the equation: x^2=16x+25 Lucas said, "The x^2, squared term is isolated, so I"ll take the square root of both sides and solve." Tony said, "I'll solve using the quadratic formula with a=1,b=16, an c equals 25." Whose solution strategy would work? Choose 1 answer:
Answers
Answer:
Tony's solution strategy
Step-by-step explanation:
Given the equation that Lucas and Tony trying to solve expressed as: x^2=16x+25
This can be written in standard form as x^2 - 16x - 25 = 0
This can then be factorized using the general formula
x = -b±√b²-4ac/2a where a, b and c are constants
From the given expression;
a = 1, b = -16, c = -15
Hence the best strategy that would have worked based on the explanation is Tony's
Answer: Neither
Step-by-step explanation: got it right on khan
Write the equation in standard form for the circle with center (0, -8) and radius 6.
Answers
Answer:
(x)^2 + (y+8)^2 = 36
Step-by-step explanation:
The standard form for an equation for a circle is
(x-h)^2 + (y-k)^2 = r^2 where ( h,k) is center of the circle and r is the radius
(x-0)^2 + (y- -8)^2 = 6^2
(x)^2 + (y+8)^2 = 36
There are values of iso that sin t= 6 and cost=.8
O A True
B. False
Need help plzzz
Answers
Answer:
True
Step-by-step explanation:
Sin t = 0.6
t = Sin⁻¹ (0.6) = 36.86
Cos t = 0.8
t = Cos⁻¹ 0.8 = 36.86
